TSTP Solution File: SWW277+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW277+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:13:27 EDT 2023
% Result : Theorem 15.75s 15.77s
% Output : CNFRefutation 15.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW277+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 18:31:36 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 15.61/15.70 %-------------------------------------------
% 15.61/15.70 % File :CSE---1.6
% 15.61/15.70 % Problem :theBenchmark
% 15.61/15.70 % Transform :cnf
% 15.61/15.70 % Format :tptp:raw
% 15.61/15.70 % Command :java -jar mcs_scs.jar %d %s
% 15.61/15.70
% 15.61/15.70 % Result :Theorem 14.370000s
% 15.61/15.70 % Output :CNFRefutation 14.370000s
% 15.61/15.70 %-------------------------------------------
% 15.61/15.70 %------------------------------------------------------------------------------
% 15.61/15.70 % File : SWW277+1 : TPTP v8.1.2. Released v5.2.0.
% 15.61/15.70 % Domain : Software Verification
% 15.61/15.70 % Problem : Fundamental Theorem of Algebra 438996, 1000 axioms selected
% 15.61/15.70 % Version : Especial.
% 15.61/15.70 % English :
% 15.61/15.70
% 15.61/15.70 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 15.61/15.70 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 15.61/15.70 % Source : [Bla11]
% 15.61/15.70 % Names : fta_438996.1000.p [Bla11]
% 15.61/15.70
% 15.61/15.70 % Status : Theorem
% 15.61/15.70 % Rating : 0.39 v8.1.0, 0.44 v7.5.0, 0.47 v7.3.0, 0.41 v7.2.0, 0.38 v7.1.0, 0.35 v7.0.0, 0.40 v6.4.0, 0.42 v6.2.0, 0.48 v6.1.0, 0.53 v6.0.0, 0.61 v5.5.0, 0.70 v5.4.0, 0.71 v5.3.0, 0.78 v5.2.0
% 15.61/15.70 % Syntax : Number of formulae : 1209 ( 275 unt; 0 def)
% 15.61/15.70 % Number of atoms : 3078 ( 827 equ)
% 15.61/15.70 % Maximal formula atoms : 13 ( 2 avg)
% 15.61/15.70 % Number of connectives : 2083 ( 214 ~; 63 |; 140 &)
% 15.61/15.70 % ( 238 <=>;1428 =>; 0 <=; 0 <~>)
% 15.61/15.70 % Maximal formula depth : 14 ( 5 avg)
% 15.61/15.70 % Maximal term depth : 9 ( 2 avg)
% 15.61/15.70 % Number of predicates : 75 ( 74 usr; 1 prp; 0-5 aty)
% 15.61/15.70 % Number of functors : 45 ( 45 usr; 14 con; 0-5 aty)
% 15.61/15.70 % Number of variables : 2873 (2860 !; 13 ?)
% 15.61/15.70 % SPC : FOF_THM_RFO_SEQ
% 15.61/15.70
% 15.61/15.70 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 15.61/15.70 % 2011-03-01 12:08:10
% 15.61/15.70 %------------------------------------------------------------------------------
% 15.61/15.70 %----Relevant facts (995)
% 15.61/15.70 fof(fact_ext,axiom,
% 15.61/15.70 ! [V_g_2,V_f_2] :
% 15.61/15.70 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 15.61/15.70 => V_f_2 = V_g_2 ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_xa,axiom,
% 15.61/15.70 v_x____ = v_a____ ).
% 15.61/15.70
% 15.61/15.70 fof(fact_q0,axiom,
% 15.61/15.70 v_qa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_sne,axiom,
% 15.61/15.70 v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096,axiom,
% 15.61/15.70 hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_r,axiom,
% 15.61/15.70 v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_r____) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_one__poly__def,axiom,
% 15.61/15.70 ! [T_a] :
% 15.61/15.70 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.70 => c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_pCons__0__0,axiom,
% 15.61/15.70 ! [T_a] :
% 15.61/15.70 ( class_Groups_Ozero(T_a)
% 15.61/15.70 => c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_pCons__eq__0__iff,axiom,
% 15.61/15.70 ! [V_pb_2,V_aa_2,T_a] :
% 15.61/15.70 ( class_Groups_Ozero(T_a)
% 15.61/15.70 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.70 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.70 & V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 15.61/15.70
% 15.61/15.70 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 15.61/15.70 ! [V_x,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__ring__1(T_a)
% 15.61/15.71 => c_Groups_Ouminus__class_Ouminus(T_a,V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))),V_x) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_square__eq__1__iff,axiom,
% 15.61/15.71 ! [V_xa_2,T_a] :
% 15.61/15.71 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 15.61/15.71 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2) = c_Groups_Oone__class_Oone(T_a)
% 15.61/15.71 <=> ( V_xa_2 = c_Groups_Oone__class_Oone(T_a)
% 15.61/15.71 | V_xa_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact__096_B_Bthesis_O_A_I_B_Br_O_Aq_A_061_A_091_058_N_Aa_M_A1_058_093_A_K_Ar_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,
% 15.61/15.71 ~ ! [B_r] : v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),B_r) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_mult__poly__0__left,axiom,
% 15.61/15.71 ! [V_q,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.61/15.71 => 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)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_mult__poly__0__right,axiom,
% 15.61/15.71 ! [V_p,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.61/15.71 => 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)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_s,axiom,
% 15.61/15.71 v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_minus__pCons,axiom,
% 15.61/15.71 ! [V_p,V_a,T_a] :
% 15.61/15.71 ( class_Groups_Oab__group__add(T_a)
% 15.61/15.71 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_minus__poly__code_I2_J,axiom,
% 15.61/15.71 ! [V_p,V_a,T_b] :
% 15.61/15.71 ( class_Groups_Oab__group__add(T_b)
% 15.61/15.71 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_b),c_Polynomial_OpCons(T_b,V_a,V_p)) = c_Polynomial_OpCons(T_b,c_Groups_Ouminus__class_Ouminus(T_b,V_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_b),V_p)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_minus__mult__right,axiom,
% 15.61/15.71 ! [V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Oring(T_a)
% 15.61/15.71 => 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)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_n0,axiom,
% 15.61/15.71 v_na____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_oa,axiom,
% 15.61/15.71 c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_pne,axiom,
% 15.61/15.71 v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__0__right,axiom,
% 15.61/15.71 ! [V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096,axiom,
% 15.61/15.71 hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_qa____)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_ap_I1_J,axiom,
% 15.61/15.71 hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_pa____)) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_a,axiom,
% 15.61/15.71 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_a____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_pq0,axiom,
% 15.61/15.71 ! [B_x] :
% 15.61/15.71 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 15.61/15.71 => hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_qa____),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_h,axiom,
% 15.61/15.71 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),v_x____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_ds0,axiom,
% 15.61/15.71 c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__refl,axiom,
% 15.61/15.71 ! [V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 15.61/15.71 ! [V_x,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 15.61/15.71 ! [V_x,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 15.61/15.71 ! [V_q,V_p,V_x,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__trans,axiom,
% 15.61/15.71 ! [V_c,V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__0__left,axiom,
% 15.61/15.71 ! [V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 15.61/15.71 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__mult__right,axiom,
% 15.61/15.71 ! [V_c,V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__mult__left,axiom,
% 15.61/15.71 ! [V_c,V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvdI,axiom,
% 15.61/15.71 ! [V_k,V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Odvd(T_a)
% 15.61/15.71 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_mult__dvd__mono,axiom,
% 15.61/15.71 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__mult,axiom,
% 15.61/15.71 ! [V_b,V_c,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__mult2,axiom,
% 15.61/15.71 ! [V_c,V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__triv__right,axiom,
% 15.61/15.71 ! [V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__triv__left,axiom,
% 15.61/15.71 ! [V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_one__dvd,axiom,
% 15.61/15.71 ! [V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_minus__dvd__iff,axiom,
% 15.61/15.71 ! [V_y_2,V_xa_2,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__ring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_xa_2)),V_y_2))
% 15.61/15.71 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_xa_2),V_y_2)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__minus__iff,axiom,
% 15.61/15.71 ! [V_y_2,V_xa_2,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__ring__1(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_xa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)))
% 15.61/15.71 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_xa_2),V_y_2)) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 15.61/15.71 ! [V_q,V_y,V_x,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_minus__poly__code_I1_J,axiom,
% 15.61/15.71 ! [T_a] :
% 15.61/15.71 ( class_Groups_Oab__group__add(T_a)
% 15.61/15.71 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__mult__cancel__left,axiom,
% 15.61/15.71 ! [V_b_2,V_aa_2,V_c_2,T_a] :
% 15.61/15.71 ( class_Rings_Oidom(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_aa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2)))
% 15.61/15.71 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.71 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_aa_2),V_b_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_dvd__mult__cancel__right,axiom,
% 15.61/15.71 ! [V_b_2,V_c_2,V_aa_2,T_a] :
% 15.61/15.71 ( class_Rings_Oidom(T_a)
% 15.61/15.71 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)))
% 15.61/15.71 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.71 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_aa_2),V_b_2)) ) ) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_order__1,axiom,
% 15.61/15.71 ! [V_p,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Oidom(T_a)
% 15.61/15.71 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Oorder(T_a,V_a,V_p))),V_p)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 15.61/15.71 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => 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)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 15.61/15.71 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 15.61/15.71 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => 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))) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 15.61/15.71 ! [V_rx,V_ly,V_lx,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 15.61/15.71 ! [V_rx,V_ly,V_lx,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 15.61/15.71 ! [V_ry,V_rx,V_lx,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 15.61/15.71 ! [V_ry,V_rx,V_lx,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 15.61/15.71 ! [V_b,V_a,T_a] :
% 15.61/15.71 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 15.61/15.71
% 15.61/15.71 fof(fact_pCons__eq__iff,axiom,
% 15.61/15.72 ! [V_qb_2,V_b_2,V_pb_2,V_aa_2,T_a] :
% 15.61/15.72 ( class_Groups_Ozero(T_a)
% 15.61/15.72 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Polynomial_OpCons(T_a,V_b_2,V_qb_2)
% 15.61/15.72 <=> ( V_aa_2 = V_b_2
% 15.61/15.72 & V_pb_2 = V_qb_2 ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_divisors__zero,axiom,
% 15.61/15.72 ! [V_b,V_a,T_a] :
% 15.61/15.72 ( class_Rings_Ono__zero__divisors(T_a)
% 15.61/15.72 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_no__zero__divisors,axiom,
% 15.61/15.72 ! [V_b,V_a,T_a] :
% 15.61/15.72 ( class_Rings_Ono__zero__divisors(T_a)
% 15.61/15.72 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_mult__eq__0__iff,axiom,
% 15.61/15.72 ! [V_b_2,V_aa_2,T_a] :
% 15.61/15.72 ( class_Rings_Oring__no__zero__divisors(T_a)
% 15.61/15.72 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_mult__zero__right,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Rings_Omult__zero(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_mult__zero__left,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Rings_Omult__zero(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_zero__neq__one,axiom,
% 15.61/15.72 ! [T_a] :
% 15.61/15.72 ( class_Rings_Ozero__neq__one(T_a)
% 15.61/15.72 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_one__neq__zero,axiom,
% 15.61/15.72 ! [T_a] :
% 15.61/15.72 ( class_Rings_Ozero__neq__one(T_a)
% 15.61/15.72 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_square__eq__iff,axiom,
% 15.61/15.72 ! [V_b_2,V_aa_2,T_a] :
% 15.61/15.72 ( class_Rings_Oidom(T_a)
% 15.61/15.72 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_aa_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2)
% 15.61/15.72 <=> ( V_aa_2 = V_b_2
% 15.61/15.72 | V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_minus__mult__minus,axiom,
% 15.61/15.72 ! [V_b,V_a,T_a] :
% 15.61/15.72 ( class_Rings_Oring(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_minus__mult__commute,axiom,
% 15.61/15.72 ! [V_b,V_a,T_a] :
% 15.61/15.72 ( class_Rings_Oring(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_minus__mult__left,axiom,
% 15.61/15.72 ! [V_b,V_a,T_a] :
% 15.61/15.72 ( class_Rings_Oring(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact__096q_A_061_A0_A_061_061_062_Ap_Advd_Aq_A_094_An_096,axiom,
% 15.61/15.72 ( v_qa____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
% 15.61/15.72 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_qa____),v_na____))) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact__096_B_Bthesis_O_A_I_B_Bs_O_Ap_A_061_A_091_058_N_Aa_M_A1_058_093_A_094_Aorder_Aa_Ap_A_K_As_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,
% 15.61/15.72 ~ ! [B_s] : v_pa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),B_s) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_ap_I2_J,axiom,
% 15.61/15.72 ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Nat_OSuc(c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),v_pa____)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__minus,axiom,
% 15.61/15.72 ! [V_n,V_a,T_a] :
% 15.61/15.72 ( class_Rings_Oring__1(T_a)
% 15.61/15.72 => 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)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__0__left,axiom,
% 15.61/15.72 ! [V_n,T_a] :
% 15.61/15.72 ( ( class_Power_Opower(T_a)
% 15.61/15.72 & class_Rings_Osemiring__0(T_a) )
% 15.61/15.72 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.61/15.72 => 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) )
% 15.61/15.72 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.61/15.72 => 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) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_order,axiom,
% 15.61/15.72 ! [V_a,V_p,T_a] :
% 15.61/15.72 ( class_Rings_Oidom(T_a)
% 15.61/15.72 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.72 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Oorder(T_a,V_a,V_p))),V_p))
% 15.61/15.72 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Nat_OSuc(c_Polynomial_Oorder(T_a,V_a,V_p)))),V_p)) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_order__2,axiom,
% 15.61/15.72 ! [V_a,V_p,T_a] :
% 15.61/15.72 ( class_Rings_Oidom(T_a)
% 15.61/15.72 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.72 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Nat_OSuc(c_Polynomial_Oorder(T_a,V_a,V_p)))),V_p)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_calculation,axiom,
% 15.61/15.72 ( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.61/15.72 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_qa____),v_na____))) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_dvd__power__same,axiom,
% 15.61/15.72 ! [V_n,V_y,V_x,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 15.61/15.72 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__0,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Power_Opower(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__one,axiom,
% 15.61/15.72 ! [V_n,T_a] :
% 15.61/15.72 ( class_Groups_Omonoid__mult(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__mult__distrib,axiom,
% 15.61/15.72 ! [V_n,V_b,V_a,T_a] :
% 15.61/15.72 ( class_Groups_Ocomm__monoid__mult(T_a)
% 15.61/15.72 => 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)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_assms_I3_J,axiom,
% 15.61/15.72 v_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_assms_I2_J,axiom,
% 15.61/15.72 c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = v_n ).
% 15.61/15.72
% 15.61/15.72 fof(fact_assms_I1_J,axiom,
% 15.61/15.72 ! [B_x] :
% 15.61/15.72 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 15.61/15.72 => hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_dpn,axiom,
% 15.61/15.72 c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = v_na____ ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__Suc__0,axiom,
% 15.61/15.72 ! [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)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_poly__eq__iff,axiom,
% 15.61/15.72 ! [V_qb_2,V_pb_2,T_a] :
% 15.61/15.72 ( ( class_Int_Oring__char__0(T_a)
% 15.61/15.72 & class_Rings_Oidom(T_a) )
% 15.61/15.72 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,V_qb_2)
% 15.61/15.72 <=> V_pb_2 = V_qb_2 ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 15.61/15.72 ! [V_m_2,V_xa_2] :
% 15.61/15.72 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_m_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 15.61/15.72 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.61/15.72 | V_xa_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_degree__pCons__eq,axiom,
% 15.61/15.72 ! [V_a,V_p,T_a] :
% 15.61/15.72 ( class_Groups_Ozero(T_a)
% 15.61/15.72 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.72 => c_Polynomial_Odegree(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Nat_OSuc(c_Polynomial_Odegree(T_a,V_p)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_degree__pCons__eq__if,axiom,
% 15.61/15.72 ! [V_a,V_p,T_a] :
% 15.61/15.72 ( class_Groups_Ozero(T_a)
% 15.61/15.72 => ( ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.72 => c_Polynomial_Odegree(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 15.61/15.72 & ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.72 => c_Polynomial_Odegree(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Nat_OSuc(c_Polynomial_Odegree(T_a,V_p)) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_degree__0,axiom,
% 15.61/15.72 ! [T_a] :
% 15.61/15.72 ( class_Groups_Ozero(T_a)
% 15.61/15.72 => c_Polynomial_Odegree(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_degree__minus,axiom,
% 15.61/15.72 ! [V_p,T_a] :
% 15.61/15.72 ( class_Groups_Oab__group__add(T_a)
% 15.61/15.72 => c_Polynomial_Odegree(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) = c_Polynomial_Odegree(T_a,V_p) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__0__Suc,axiom,
% 15.61/15.72 ! [V_n,T_a] :
% 15.61/15.72 ( ( class_Power_Opower(T_a)
% 15.61/15.72 & class_Rings_Osemiring__0(T_a) )
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__Suc2,axiom,
% 15.61/15.72 ! [V_n,V_a,T_a] :
% 15.61/15.72 ( class_Groups_Omonoid__mult(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__Suc,axiom,
% 15.61/15.72 ! [V_n,V_a,T_a] :
% 15.61/15.72 ( class_Power_Opower(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_poly__zero,axiom,
% 15.61/15.72 ! [V_pb_2,T_a] :
% 15.61/15.72 ( ( class_Int_Oring__char__0(T_a)
% 15.61/15.72 & class_Rings_Oidom(T_a) )
% 15.61/15.72 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 15.61/15.72 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_degree__1,axiom,
% 15.61/15.72 ! [T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => c_Polynomial_Odegree(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_degree__pCons__0,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Groups_Ozero(T_a)
% 15.61/15.72 => c_Polynomial_Odegree(T_a,c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 15.61/15.72 ! [V_q,V_x,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 15.61/15.72 ! [V_q,V_x,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 15.61/15.72 ! [V_q,V_x,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => 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)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_poly__0,axiom,
% 15.61/15.72 ! [V_x,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_poly__mult,axiom,
% 15.61/15.72 ! [V_x,V_q,V_p,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.61/15.72 => 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)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_poly__minus,axiom,
% 15.61/15.72 ! [V_x,V_p,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__ring(T_a)
% 15.61/15.72 => 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)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_poly__power,axiom,
% 15.61/15.72 ! [V_x,V_n,V_p,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_poly__1,axiom,
% 15.61/15.72 ! [V_x,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Oone__class_Oone(T_a) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__mult,axiom,
% 15.61/15.72 ! [V_n,V_m,V_a,T_a] :
% 15.61/15.72 ( class_Groups_Omonoid__mult(T_a)
% 15.61/15.72 => 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) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__one__right,axiom,
% 15.61/15.72 ! [V_a,T_a] :
% 15.61/15.72 ( class_Groups_Omonoid__mult(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_order__root,axiom,
% 15.61/15.72 ! [V_aa_2,V_pb_2,T_a] :
% 15.61/15.72 ( class_Rings_Oidom(T_a)
% 15.61/15.72 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 <=> ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.72 | c_Polynomial_Oorder(T_a,V_aa_2,V_pb_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_degree__linear__power,axiom,
% 15.61/15.72 ! [V_n,V_a,T_a] :
% 15.61/15.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.61/15.72 => c_Polynomial_Odegree(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,V_a,c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),V_n)) = V_n ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_poly__eq__0__iff__dvd,axiom,
% 15.61/15.72 ! [V_c_2,V_pb_2,T_a] :
% 15.61/15.72 ( class_Rings_Oidom(T_a)
% 15.61/15.72 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_c_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_c_2),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),V_pb_2)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_dvd__iff__poly__eq__0,axiom,
% 15.61/15.72 ! [V_pb_2,V_c_2,T_a] :
% 15.61/15.72 ( class_Rings_Oidom(T_a)
% 15.61/15.72 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,V_c_2,c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),V_pb_2))
% 15.61/15.72 <=> hAPP(c_Polynomial_Opoly(T_a,V_pb_2),c_Groups_Ouminus__class_Ouminus(T_a,V_c_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__eq__0__iff,axiom,
% 15.61/15.72 ! [V_nb_2,V_aa_2,T_a] :
% 15.61/15.72 ( ( class_Power_Opower(T_a)
% 15.61/15.72 & class_Rings_Omult__zero(T_a)
% 15.61/15.72 & class_Rings_Ono__zero__divisors(T_a)
% 15.61/15.72 & class_Rings_Ozero__neq__one(T_a) )
% 15.61/15.72 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_nb_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 & V_nb_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_field__power__not__zero,axiom,
% 15.61/15.72 ! [V_n,V_a,T_a] :
% 15.61/15.72 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 15.61/15.72 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 15.61/15.72 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_power__commutes,axiom,
% 15.61/15.72 ! [V_n,V_a,T_a] :
% 15.61/15.72 ( class_Groups_Omonoid__mult(T_a)
% 15.61/15.72 => 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)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_dvd__1__left,axiom,
% 15.61/15.72 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_dsn,axiom,
% 15.61/15.72 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_IH,axiom,
% 15.61/15.72 ! [B_m] :
% 15.61/15.72 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,v_na____)
% 15.61/15.72 => ! [B_p,B_q] :
% 15.61/15.72 ( ! [B_x] :
% 15.61/15.72 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_p),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 15.61/15.72 => hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
% 15.61/15.72 => ( c_Polynomial_Odegree(tc_Complex_Ocomplex,B_p) = B_m
% 15.61/15.72 => ( B_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.61/15.72 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),B_q),B_m))) ) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_oop,axiom,
% 15.61/15.72 ! [V_a] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,V_a,v_pa____),v_na____) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_realpow__two__disj,axiom,
% 15.61/15.72 ! [V_y_2,V_xa_2,T_a] :
% 15.61/15.72 ( class_Rings_Oidom(T_a)
% 15.61/15.72 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_xa_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))))
% 15.61/15.72 <=> ( V_xa_2 = V_y_2
% 15.61/15.72 | V_xa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_mult__eq__self__implies__10,axiom,
% 15.61/15.72 ! [V_n,V_m] :
% 15.61/15.72 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 15.61/15.72 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 15.61/15.72 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_One__nat__def,axiom,
% 15.61/15.72 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_mult__eq__1__iff,axiom,
% 15.61/15.72 ! [V_nb_2,V_m_2] :
% 15.61/15.72 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_nb_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 15.61/15.72 <=> ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 15.61/15.72 & V_nb_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_psize__def,axiom,
% 15.61/15.72 ! [V_p,T_a] :
% 15.61/15.72 ( class_Groups_Ozero(T_a)
% 15.61/15.72 => ( ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.72 => c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 15.61/15.72 & ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.61/15.72 => c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_p) = c_Nat_OSuc(c_Polynomial_Odegree(T_a,V_p)) ) ) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_dvd_Oorder__refl,axiom,
% 15.61/15.72 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_less__zeroE,axiom,
% 15.61/15.72 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_lessI,axiom,
% 15.61/15.72 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_Suc__mono,axiom,
% 15.61/15.72 ! [V_n,V_m] :
% 15.61/15.72 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.72 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_le0,axiom,
% 15.61/15.72 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_zero__less__Suc,axiom,
% 15.61/15.72 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)) ).
% 15.61/15.72
% 15.61/15.72 fof(fact_dvd_Oeq__iff,axiom,
% 15.61/15.72 ! [V_y_2,V_xa_2] :
% 15.61/15.72 ( V_xa_2 = V_y_2
% 15.61/15.73 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_xa_2),V_y_2))
% 15.61/15.73 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_xa_2)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Ole__less,axiom,
% 15.61/15.73 ! [V_y_2,V_xa_2] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_xa_2),V_y_2))
% 15.61/15.73 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_xa_2),V_y_2))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_xa_2)) )
% 15.61/15.73 | V_xa_2 = V_y_2 ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__le,axiom,
% 15.61/15.73 ! [V_y_2,V_xa_2] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_xa_2),V_y_2))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_xa_2)) )
% 15.61/15.73 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_xa_2),V_y_2))
% 15.61/15.73 & V_xa_2 != V_y_2 ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oneq__le__trans,axiom,
% 15.61/15.73 ! [V_b,V_a] :
% 15.61/15.73 ( V_a != V_b
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oeq__refl,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( V_x = V_y
% 15.61/15.73 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oantisym__conv,axiom,
% 15.61/15.73 ! [V_xa_2,V_y_2] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_xa_2))
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_xa_2),V_y_2))
% 15.61/15.73 <=> V_xa_2 = V_y_2 ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 | V_x = V_y ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Ole__neq__trans,axiom,
% 15.61/15.73 ! [V_b,V_a] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 15.61/15.73 => ( V_a != V_b
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd__imp__le,axiom,
% 15.61/15.73 ! [V_n,V_k] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 15.61/15.73 ! [V_c,V_b,V_a] :
% 15.61/15.73 ( V_a = V_b
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 15.61/15.73 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 15.61/15.73 ! [V_c,V_b,V_a] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 15.61/15.73 => ( V_b = V_c
% 15.61/15.73 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd__antisym,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 15.61/15.73 => V_m = V_n ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oantisym,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 15.61/15.73 => V_x = V_y ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oorder__trans,axiom,
% 15.61/15.73 ! [V_z,V_y,V_x] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 15.61/15.73 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 15.61/15.73 ! [V_c,V_b,V_a] :
% 15.61/15.73 ( V_a = V_b
% 15.61/15.73 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Ole__less__trans,axiom,
% 15.61/15.73 ! [V_z,V_y,V_x] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__imp__neq,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => V_x != V_y ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__not__sym,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__imp__le,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__imp__not__less,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => V_x != V_y ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => V_y != V_x ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 15.61/15.73 ! [V_c,V_b,V_a] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 15.61/15.73 => ( V_b = V_c
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__le__trans,axiom,
% 15.61/15.73 ! [V_z,V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__asym_H,axiom,
% 15.61/15.73 ! [V_b,V_a] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 15.61/15.73 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__trans,axiom,
% 15.61/15.73 ! [V_z,V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 15.61/15.73 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_dvd_Oless__asym,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 15.61/15.73 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 15.61/15.73 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__le__lessD,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__less__Suc__eq,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_m_2))
% 15.61/15.73 <=> V_nb_2 = V_m_2 ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__leI,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__imp__less__Suc,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__le__eq,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m_2),V_nb_2)
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__Suc__eq__le,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_nb_2))
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__eq__Suc__le,axiom,
% 15.61/15.73 ! [V_m_2,V_nb_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_m_2)
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_nb_2),V_m_2) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__not__refl,axiom,
% 15.61/15.73 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__refl,axiom,
% 15.61/15.73 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_nat__neq__iff,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( V_m_2 != V_nb_2
% 15.61/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_m_2) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_nat__le__linear,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_nat__less__le,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 & V_m_2 != V_nb_2 ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__eq__less__or__eq,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 | V_m_2 = V_nb_2 ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_linorder__neqE__nat,axiom,
% 15.61/15.73 ! [V_y,V_x] :
% 15.61/15.73 ( V_x != V_y
% 15.61/15.73 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__irrefl__nat,axiom,
% 15.61/15.73 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__not__refl2,axiom,
% 15.61/15.73 ! [V_m,V_n] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 15.61/15.73 => V_m != V_n ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__not__refl3,axiom,
% 15.61/15.73 ! [V_t,V_s] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)
% 15.61/15.73 => V_s != V_t ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_eq__imp__le,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( V_m = V_n
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__imp__le__nat,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__neq__implies__less,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => ( V_m != V_n
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__trans,axiom,
% 15.61/15.73 ! [V_k,V_j,V_i] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__antisym,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 15.61/15.73 => V_m = V_n ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__or__eq__imp__le,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 | V_m = V_n )
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_nat__less__cases,axiom,
% 15.61/15.73 ! [V_P_2,V_nb_2,V_m_2] :
% 15.61/15.73 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 => hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_m_2)) )
% 15.61/15.73 => ( ( V_m_2 = V_nb_2
% 15.61/15.73 => hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_m_2)) )
% 15.61/15.73 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_m_2)
% 15.61/15.73 => hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_m_2)) )
% 15.61/15.73 => hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_m_2)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_linorder__neqE__linordered__idom,axiom,
% 15.61/15.73 ! [V_y,V_x,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__idom(T_a)
% 15.61/15.73 => ( V_x != V_y
% 15.61/15.73 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__dvd__imp__le,axiom,
% 15.61/15.73 ! [V_n,V_m,V_i] :
% 15.61/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_i)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_gr0I,axiom,
% 15.61/15.73 ! [V_n] :
% 15.61/15.73 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_gr__implies__not0,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_nat__dvd__not__less,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__nat__zero__code,axiom,
% 15.61/15.73 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_neq0__conv,axiom,
% 15.61/15.73 ! [V_nb_2] :
% 15.61/15.73 ( V_nb_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_not__less0,axiom,
% 15.61/15.73 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__0__eq,axiom,
% 15.61/15.73 ! [V_nb_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_nb_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 15.61/15.73 <=> V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 15.61/15.73 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__increasing__iff,axiom,
% 15.61/15.73 ! [V_y_2,V_xa_2,V_b_2,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_xa_2,V_y_2) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__le__imp__le__exp,axiom,
% 15.61/15.73 ! [V_n,V_m,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_not__less__eq,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_m_2)) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__Suc__eq,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_nb_2))
% 15.61/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 | V_m_2 = V_nb_2 ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__less__eq,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m_2),c_Nat_OSuc(V_nb_2))
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_not__less__less__Suc__eq,axiom,
% 15.61/15.73 ! [V_m_2,V_nb_2] :
% 15.61/15.73 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_m_2)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_m_2))
% 15.61/15.73 <=> V_nb_2 = V_m_2 ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__antisym,axiom,
% 15.61/15.73 ! [V_m,V_n] :
% 15.61/15.73 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m))
% 15.61/15.73 => V_m = V_n ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__SucI,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__lessI,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => ( c_Nat_OSuc(V_m) != V_n
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__trans__Suc,axiom,
% 15.61/15.73 ! [V_k,V_j,V_i] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_less__SucE,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 15.61/15.73 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => V_m = V_n ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__lessD,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__less__SucD,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__n__not__le__n,axiom,
% 15.61/15.73 ! [V_n] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n),V_n) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_not__less__eq__eq,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_nb_2),V_m_2) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__Suc__eq,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_nb_2))
% 15.61/15.73 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.61/15.73 | V_m_2 = c_Nat_OSuc(V_nb_2) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__le__mono,axiom,
% 15.61/15.73 ! [V_m_2,V_nb_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_nb_2),c_Nat_OSuc(V_m_2))
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_nb_2,V_m_2) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__SucI,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__SucE,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 15.61/15.73 => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.61/15.73 => V_m = c_Nat_OSuc(V_n) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_Suc__leD,axiom,
% 15.61/15.73 ! [V_n,V_m] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__le__mono,axiom,
% 15.61/15.73 ! [V_l,V_k,V_j,V_i] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 15.61/15.73 => 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)) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__le__mono2,axiom,
% 15.61/15.73 ! [V_k,V_j,V_i] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.61/15.73 => 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)) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__le__mono1,axiom,
% 15.61/15.73 ! [V_k,V_j,V_i] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.61/15.73 => 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)) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__cube,axiom,
% 15.61/15.73 ! [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))) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_le__square,axiom,
% 15.61/15.73 ! [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)) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__le__cancel2,axiom,
% 15.61/15.73 ! [V_nb_2,V_k_2,V_m_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2))
% 15.61/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__le__cancel1,axiom,
% 15.61/15.73 ! [V_nb_2,V_m_2,V_k_2] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))
% 15.61/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__strict__mono,axiom,
% 15.61/15.73 ! [V_n,V_b,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.61/15.73 => 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)) ) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__left__le__imp__le,axiom,
% 15.61/15.73 ! [V_b,V_a,V_c,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__right__le__imp__le,axiom,
% 15.61/15.73 ! [V_b,V_c,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__less__imp__less__left,axiom,
% 15.61/15.73 ! [V_b,V_a,V_c,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__left__less__imp__less,axiom,
% 15.61/15.73 ! [V_b,V_a,V_c,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring(T_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__less__imp__less__right,axiom,
% 15.61/15.73 ! [V_b,V_c,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__right__less__imp__less,axiom,
% 15.61/15.73 ! [V_b,V_c,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring(T_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__le__less__imp__less,axiom,
% 15.61/15.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => 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)) ) ) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__less__le__imp__less,axiom,
% 15.61/15.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => 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)) ) ) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__strict__mono_H,axiom,
% 15.61/15.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => 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)) ) ) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__strict__mono,axiom,
% 15.61/15.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.61/15.73 => 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)) ) ) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__le__cancel__left__neg,axiom,
% 15.61/15.73 ! [V_b_2,V_aa_2,V_c_2,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_aa_2) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_mult__le__cancel__left__pos,axiom,
% 15.61/15.73 ! [V_b_2,V_aa_2,V_c_2,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__less__imp__less__base,axiom,
% 15.61/15.73 ! [V_b,V_n,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.61/15.73 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__strict__increasing__iff,axiom,
% 15.61/15.73 ! [V_y_2,V_xa_2,V_b_2,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))
% 15.61/15.73 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_xa_2,V_y_2) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__less__imp__less__exp,axiom,
% 15.61/15.73 ! [V_n,V_m,V_a,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__strict__increasing,axiom,
% 15.61/15.73 ! [V_a,V_N,V_n,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.61/15.73 => 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)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_power__increasing,axiom,
% 15.61/15.73 ! [V_a,V_N,V_n,T_a] :
% 15.61/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 15.61/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.61/15.73 => 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)) ) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_nat__power__less__imp__less,axiom,
% 15.61/15.73 ! [V_n,V_m,V_i] :
% 15.61/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)
% 15.61/15.73 => ( 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))
% 15.61/15.73 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 15.61/15.73
% 15.61/15.73 fof(fact_nat__zero__less__power__iff,axiom,
% 15.61/15.73 ! [V_nb_2,V_xa_2] :
% 15.75/15.73 ( 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_xa_2),V_nb_2))
% 15.75/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2)
% 15.75/15.73 | V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_less__Suc__eq__0__disj,axiom,
% 15.75/15.73 ! [V_nb_2,V_m_2] :
% 15.75/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_nb_2))
% 15.75/15.73 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.73 | ? [B_j] :
% 15.75/15.73 ( V_m_2 = c_Nat_OSuc(B_j)
% 15.75/15.73 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_nb_2) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_less__Suc0,axiom,
% 15.75/15.73 ! [V_nb_2] :
% 15.75/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 15.75/15.73 <=> V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_gr0__conv__Suc,axiom,
% 15.75/15.73 ! [V_nb_2] :
% 15.75/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)
% 15.75/15.73 <=> ? [B_m] : V_nb_2 = c_Nat_OSuc(B_m) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_dvd__mult__cancel,axiom,
% 15.75/15.73 ! [V_n,V_m,V_k] :
% 15.75/15.73 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)))
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 15.75/15.73 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__less__mono2,axiom,
% 15.75/15.73 ! [V_k,V_j,V_i] :
% 15.75/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 15.75/15.73 => 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)) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__less__mono1,axiom,
% 15.75/15.73 ! [V_k,V_j,V_i] :
% 15.75/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 15.75/15.73 => 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)) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__less__cancel2,axiom,
% 15.75/15.73 ! [V_nb_2,V_k_2,V_m_2] :
% 15.75/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2))
% 15.75/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 15.75/15.73 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__less__cancel1,axiom,
% 15.75/15.73 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.73 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))
% 15.75/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 15.75/15.73 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_nat__0__less__mult__iff,axiom,
% 15.75/15.73 ! [V_nb_2,V_m_2] :
% 15.75/15.73 ( 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_m_2),V_nb_2))
% 15.75/15.73 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 15.75/15.73 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_Suc__mult__less__cancel1,axiom,
% 15.75/15.73 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.73 ( 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_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2))
% 15.75/15.73 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_Suc__mult__le__cancel1,axiom,
% 15.75/15.73 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.73 ( 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_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2))
% 15.75/15.73 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_power__strict__decreasing,axiom,
% 15.75/15.73 ! [V_a,V_N,V_n,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 15.75/15.73 => 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)) ) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_power__decreasing,axiom,
% 15.75/15.73 ! [V_a,V_N,V_n,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 15.75/15.73 => 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)) ) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_power__eq__imp__eq__base,axiom,
% 15.75/15.73 ! [V_b,V_n,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.73 => ( 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)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.73 => V_a = V_b ) ) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_one__less__power,axiom,
% 15.75/15.73 ! [V_n,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__strict__left__mono__neg,axiom,
% 15.75/15.73 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__strict__right__mono__neg,axiom,
% 15.75/15.73 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_comm__mult__strict__left__mono,axiom,
% 15.75/15.73 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__strict__left__mono,axiom,
% 15.75/15.73 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__strict__right__mono,axiom,
% 15.75/15.73 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__neg__neg,axiom,
% 15.75/15.73 ! [V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__neg__pos,axiom,
% 15.75/15.73 ! [V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__less__cancel__left__neg,axiom,
% 15.75/15.73 ! [V_b_2,V_aa_2,V_c_2,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 15.75/15.73 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_zero__less__mult__pos2,axiom,
% 15.75/15.73 ! [V_a,V_b,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.75/15.73 => ( 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))
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.73 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_zero__less__mult__pos,axiom,
% 15.75/15.73 ! [V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.75/15.73 => ( 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))
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.73 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__pos__neg2,axiom,
% 15.75/15.73 ! [V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__pos__neg,axiom,
% 15.75/15.73 ! [V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__pos__pos,axiom,
% 15.75/15.73 ! [V_b,V_a,T_a] :
% 15.75/15.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.73 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.73 => 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)) ) ) ) ).
% 15.75/15.73
% 15.75/15.73 fof(fact_mult__less__cancel__left__pos,axiom,
% 15.75/15.73 ! [V_b_2,V_aa_2,V_c_2,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__less__cancel__left__disj,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,V_c_2,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 15.75/15.74 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 15.75/15.74 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 15.75/15.74 | ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__less__cancel__right__disj,axiom,
% 15.75/15.74 ! [V_b_2,V_c_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))
% 15.75/15.74 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 15.75/15.74 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 15.75/15.74 | ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_not__square__less__zero,axiom,
% 15.75/15.74 ! [V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__ring(T_a)
% 15.75/15.74 => ~ 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)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zero__less__one,axiom,
% 15.75/15.74 ! [T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_not__one__less__zero,axiom,
% 15.75/15.74 ! [T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_split__mult__neg__le,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__cancel__semiring(T_a)
% 15.75/15.74 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) )
% 15.75/15.74 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) )
% 15.75/15.74 => 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)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_split__mult__pos__le,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__ring(T_a)
% 15.75/15.74 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) )
% 15.75/15.74 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 15.75/15.74 => 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)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__mono,axiom,
% 15.75/15.74 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.74 => 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)) ) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__mono_H,axiom,
% 15.75/15.74 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.74 => 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)) ) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__left__mono__neg,axiom,
% 15.75/15.74 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__ring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__right__mono__neg,axiom,
% 15.75/15.74 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__ring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_comm__mult__left__mono,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__comm__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__left__mono,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__right__mono,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__nonpos__nonpos,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__ring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__nonpos__nonneg,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__cancel__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__nonneg__nonpos2,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__cancel__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__nonneg__nonpos,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__cancel__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__nonneg__nonneg,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Oordered__cancel__semiring(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__le__0__iff,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 15.75/15.74 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zero__le__mult__iff,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2))
% 15.75/15.74 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 15.75/15.74 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zero__le__square,axiom,
% 15.75/15.74 ! [V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__ring(T_a)
% 15.75/15.74 => 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)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_less__minus__self__iff,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_less__1__mult,axiom,
% 15.75/15.74 ! [V_n,V_m,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zero__less__power,axiom,
% 15.75/15.74 ! [V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => 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)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zero__le__one,axiom,
% 15.75/15.74 ! [T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_not__one__le__zero,axiom,
% 15.75/15.74 ! [T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zero__le__power,axiom,
% 15.75/15.74 ! [V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => 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)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__mono,axiom,
% 15.75/15.74 ! [V_n,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__inject__exp,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_aa_2)
% 15.75/15.74 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_nb_2)
% 15.75/15.74 <=> V_m_2 = V_nb_2 ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_one__le__power,axiom,
% 15.75/15.74 ! [V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.75/15.74 => 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)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_one__less__mult,axiom,
% 15.75/15.74 ! [V_m,V_n] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 15.75/15.74 => 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)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_n__less__n__mult__m,axiom,
% 15.75/15.74 ! [V_m,V_n] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_n__less__m__mult__n,axiom,
% 15.75/15.74 ! [V_m,V_n] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_one__le__mult__iff,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2] :
% 15.75/15.74 ( 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_m_2),V_nb_2))
% 15.75/15.74 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_nb_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__one__le__power,axiom,
% 15.75/15.74 ! [V_n,V_i] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)
% 15.75/15.74 => 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)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_le__imp__power__dvd,axiom,
% 15.75/15.74 ! [V_a,V_n,V_m,T_a] :
% 15.75/15.74 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.75/15.74 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_dvd__power__le,axiom,
% 15.75/15.74 ! [V_m,V_n,V_y,V_x,T_a] :
% 15.75/15.74 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 15.75/15.74 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__le__dvd,axiom,
% 15.75/15.74 ! [V_m,V_b,V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b))
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.75/15.74 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_dvd__mult__cancel2,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_m_2)),V_m_2))
% 15.75/15.74 <=> V_nb_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_dvd__mult__cancel1,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_nb_2)),V_m_2))
% 15.75/15.74 <=> V_nb_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_realpow__Suc__le__self,axiom,
% 15.75/15.74 ! [V_n,V_r,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_r)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_r,c_Groups_Oone__class_Oone(T_a))
% 15.75/15.74 => 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) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__left__le__one__le,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__right__le__one__le,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__less__power__Suc,axiom,
% 15.75/15.74 ! [V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.75/15.74 => 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))) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__gt1__lemma,axiom,
% 15.75/15.74 ! [V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.75/15.74 => 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))) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__le__imp__le__base,axiom,
% 15.75/15.74 ! [V_b,V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( 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)))
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__inject__base,axiom,
% 15.75/15.74 ! [V_b,V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( 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))
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.74 => V_a = V_b ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__gt1,axiom,
% 15.75/15.74 ! [V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 15.75/15.74 => 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))) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_degree__pCons__le,axiom,
% 15.75/15.74 ! [V_p,V_a,T_a] :
% 15.75/15.74 ( class_Groups_Ozero(T_a)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),c_Nat_OSuc(c_Polynomial_Odegree(T_a,V_p))) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_n__not__Suc__n,axiom,
% 15.75/15.74 ! [V_n] : V_n != c_Nat_OSuc(V_n) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_Suc__n__not__n,axiom,
% 15.75/15.74 ! [V_n] : c_Nat_OSuc(V_n) != V_n ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat_Oinject,axiom,
% 15.75/15.74 ! [V_nat_H_2,V_nat_2] :
% 15.75/15.74 ( c_Nat_OSuc(V_nat_2) = c_Nat_OSuc(V_nat_H_2)
% 15.75/15.74 <=> V_nat_2 = V_nat_H_2 ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_Suc__inject,axiom,
% 15.75/15.74 ! [V_y,V_x] :
% 15.75/15.74 ( c_Nat_OSuc(V_x) = c_Nat_OSuc(V_y)
% 15.75/15.74 => V_x = V_y ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__assoc,axiom,
% 15.75/15.74 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__commute,axiom,
% 15.75/15.74 ! [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) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_dvd__imp__degree__le,axiom,
% 15.75/15.74 ! [V_q,V_p,T_a] :
% 15.75/15.74 ( class_Rings_Oidom(T_a)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_p),V_q))
% 15.75/15.74 => ( V_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),c_Polynomial_Odegree(T_a,V_q)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__dvd__1__iff__1,axiom,
% 15.75/15.74 ! [V_m_2] :
% 15.75/15.74 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 15.75/15.74 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_degree__power__le,axiom,
% 15.75/15.74 ! [V_n,V_p,T_a] :
% 15.75/15.74 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),V_p),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Polynomial_Odegree(T_a,V_p)),V_n)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__degree,axiom,
% 15.75/15.74 ! [V_a,V_p,T_a] :
% 15.75/15.74 ( class_Rings_Oidom(T_a)
% 15.75/15.74 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(T_a,V_a,V_p),c_Polynomial_Odegree(T_a,V_p)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__Suc__less,axiom,
% 15.75/15.74 ! [V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__Suc__less__one,axiom,
% 15.75/15.74 ! [V_n,V_a,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 15.75/15.74 => 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)) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_dvd__power,axiom,
% 15.75/15.74 ! [V_x,V_n,T_a] :
% 15.75/15.74 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.74 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.74 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 15.75/15.74 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_psize__eq__0__iff,axiom,
% 15.75/15.74 ! [V_pb_2,T_a] :
% 15.75/15.74 ( class_Groups_Ozero(T_a)
% 15.75/15.74 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_Suc__neq__Zero,axiom,
% 15.75/15.74 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_Zero__neq__Suc,axiom,
% 15.75/15.74 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_dvd__1__iff__1,axiom,
% 15.75/15.74 ! [V_m_2] :
% 15.75/15.74 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 15.75/15.74 <=> V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat_Osimps_I3_J,axiom,
% 15.75/15.74 ! [V_nat_H_1] : c_Nat_OSuc(V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_Suc__not__Zero,axiom,
% 15.75/15.74 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat_Osimps_I2_J,axiom,
% 15.75/15.74 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_nat_H) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_Zero__not__Suc,axiom,
% 15.75/15.74 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__cancel2,axiom,
% 15.75/15.74 ! [V_nb_2,V_k_2,V_m_2] :
% 15.75/15.74 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)
% 15.75/15.74 <=> ( V_m_2 = V_nb_2
% 15.75/15.74 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__cancel1,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.74 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)
% 15.75/15.74 <=> ( V_m_2 = V_nb_2
% 15.75/15.74 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__is__0,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2] :
% 15.75/15.74 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_nb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 | V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__0__right,axiom,
% 15.75/15.74 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__0,axiom,
% 15.75/15.74 ! [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) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_Suc__mult__cancel1,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.74 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2)
% 15.75/15.74 <=> V_m_2 = V_nb_2 ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__eq__1__iff,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2] :
% 15.75/15.74 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_nb_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 15.75/15.74 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 15.75/15.74 & V_nb_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__1__right,axiom,
% 15.75/15.74 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__1__eq__mult__iff,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2] :
% 15.75/15.74 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_nb_2)
% 15.75/15.74 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 15.75/15.74 & V_nb_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__1,axiom,
% 15.75/15.74 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__le__cancel1,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__dvd__cancel1,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))
% 15.75/15.74 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_nb_2)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_pow__divides__pow__nat,axiom,
% 15.75/15.74 ! [V_b,V_n,V_a] :
% 15.75/15.74 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_b),V_n)))
% 15.75/15.74 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_pow__divides__eq__nat,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,V_nb_2] :
% 15.75/15.74 ( V_nb_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_aa_2),V_nb_2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_b_2),V_nb_2)))
% 15.75/15.74 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_aa_2),V_b_2)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zero__less__power__nat__eq,axiom,
% 15.75/15.74 ! [V_nb_2,V_xa_2] :
% 15.75/15.74 ( 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_xa_2),V_nb_2))
% 15.75/15.74 <=> ( V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.74 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))
% 15.75/15.74 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_nb_2)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__less__cancel1,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__eq__cancel1,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 15.75/15.74 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)
% 15.75/15.74 <=> V_m_2 = V_nb_2 ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_dvd__pos__nat,axiom,
% 15.75/15.74 ! [V_m,V_n] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 15.75/15.74 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_pow__divides__eq__int,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,V_nb_2] :
% 15.75/15.74 ( V_nb_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_aa_2),V_nb_2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_b_2),V_nb_2)))
% 15.75/15.74 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_aa_2),V_b_2)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_pow__divides__pow__int,axiom,
% 15.75/15.74 ! [V_b,V_n,V_a] :
% 15.75/15.74 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_b),V_n)))
% 15.75/15.74 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a),V_b)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_gcd__lcm__complete__lattice__nat_Otop__greatest,axiom,
% 15.75/15.74 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 15.75/15.74 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.74 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)
% 15.75/15.74 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 | V_m_2 = V_nb_2 ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_gcd__lcm__complete__lattice__nat_Obot__least,axiom,
% 15.75/15.74 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x)) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_nat__lt__two__imp__zero__or__one,axiom,
% 15.75/15.74 ! [V_x] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 15.75/15.74 => ( V_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.74 | V_x = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__0__less__iff__less,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__less__0__iff__less,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__less__nonneg,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__0__le__iff__le,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_le__minus__self__iff,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zero__reorient,axiom,
% 15.75/15.74 ! [V_xa_2,T_a] :
% 15.75/15.74 ( class_Groups_Ozero(T_a)
% 15.75/15.74 => ( c_Groups_Ozero__class_Ozero(T_a) = V_xa_2
% 15.75/15.74 <=> V_xa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Groups_Oab__semigroup__mult(T_a)
% 15.75/15.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_one__reorient,axiom,
% 15.75/15.74 ! [V_xa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oone(T_a)
% 15.75/15.74 => ( c_Groups_Oone__class_Oone(T_a) = V_xa_2
% 15.75/15.74 <=> V_xa_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__equal__iff__equal,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.74 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 15.75/15.74 <=> V_aa_2 = V_b_2 ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_minus__equation__iff,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.74 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_b_2
% 15.75/15.74 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_aa_2 ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_equation__minus__iff,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.74 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 15.75/15.74 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_minus__minus,axiom,
% 15.75/15.74 ! [V_a,T_a] :
% 15.75/15.74 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.74 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__equal__zero,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_aa_2
% 15.75/15.74 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__equal__0__iff__equal,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.74 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.74 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_equal__neg__zero,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.74 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 15.75/15.74 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__0__equal__iff__equal,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.74 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 15.75/15.74 <=> c_Groups_Ozero__class_Ozero(T_a) = V_aa_2 ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_minus__zero,axiom,
% 15.75/15.74 ! [T_a] :
% 15.75/15.74 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.74 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult_Ocomm__neutral,axiom,
% 15.75/15.74 ! [V_a,T_a] :
% 15.75/15.74 ( class_Groups_Ocomm__monoid__mult(T_a)
% 15.75/15.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__1__right,axiom,
% 15.75/15.74 ! [V_a,T_a] :
% 15.75/15.74 ( class_Groups_Omonoid__mult(T_a)
% 15.75/15.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__1,axiom,
% 15.75/15.74 ! [V_a,T_a] :
% 15.75/15.74 ( class_Groups_Ocomm__monoid__mult(T_a)
% 15.75/15.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__1__left,axiom,
% 15.75/15.74 ! [V_a,T_a] :
% 15.75/15.74 ( class_Groups_Omonoid__mult(T_a)
% 15.75/15.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_le__imp__neg__le,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => 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)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__le__iff__le,axiom,
% 15.75/15.74 ! [V_aa_2,V_b_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_minus__le__iff,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_le__minus__iff,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__less__iff__less,axiom,
% 15.75/15.74 ! [V_aa_2,V_b_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_minus__less__iff,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_less__minus__iff,axiom,
% 15.75/15.74 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_minus__le__self__iff,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_neg__le__0__iff__le,axiom,
% 15.75/15.74 ! [V_aa_2,T_a] :
% 15.75/15.74 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__refl,axiom,
% 15.75/15.74 ! [V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power__power__power,axiom,
% 15.75/15.74 ! [T_a] :
% 15.75/15.74 ( class_Power_Opower(T_a)
% 15.75/15.74 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zpower__zpower,axiom,
% 15.75/15.74 ! [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)) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_degree__pcompose__le,axiom,
% 15.75/15.74 ! [V_q,V_p,T_a] :
% 15.75/15.74 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Polynomial_Opcompose(T_a,V_p,V_q)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Polynomial_Odegree(T_a,V_p)),c_Polynomial_Odegree(T_a,V_q))) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_termination__basic__simps_I5_J,axiom,
% 15.75/15.74 ! [V_y,V_x] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_pcompose__0,axiom,
% 15.75/15.74 ! [V_q,T_a] :
% 15.75/15.74 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.74 => c_Polynomial_Opcompose(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_poly__pcompose,axiom,
% 15.75/15.74 ! [V_x,V_q,V_p,T_a] :
% 15.75/15.74 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.74 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Opcompose(T_a,V_p,V_q)),V_x) = hAPP(c_Polynomial_Opoly(T_a,V_p),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power_Opower_Opower__0,axiom,
% 15.75/15.74 ! [V_aa_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 15.75/15.74
% 15.75/15.74 fof(fact_power_Opower_Opower__Suc,axiom,
% 15.75/15.74 ! [V_nb_2,V_aa_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),c_Nat_OSuc(V_nb_2)) = hAPP(hAPP(V_times_2,V_aa_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),V_nb_2)) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__le__cases,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_le__funE,axiom,
% 15.75/15.74 ! [V_xa_2,V_g_2,V_f_2,T_a,T_b] :
% 15.75/15.74 ( class_Orderings_Oord(T_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_xa_2),hAPP(V_g_2,V_xa_2)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I6_J,axiom,
% 15.75/15.74 ! [V_z,V_x,V_y,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I5_J,axiom,
% 15.75/15.74 ! [V_x,V_y,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.74 => V_x = V_y ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__trans,axiom,
% 15.75/15.74 ! [V_z,V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__antisym,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 15.75/15.74 => V_x = V_y ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I4_J,axiom,
% 15.75/15.74 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 15.75/15.74 => ( V_b = V_c
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_ord__le__eq__trans,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oord(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => ( V_b = V_c
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I3_J,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( V_a = V_b
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_ord__eq__le__trans,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oord(T_a)
% 15.75/15.74 => ( V_a = V_b
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__antisym__conv,axiom,
% 15.75/15.74 ! [V_xa_2,V_y_2,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> V_xa_2 = V_y_2 ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_le__funD,axiom,
% 15.75/15.74 ! [V_xa_2,V_g_2,V_f_2,T_a,T_b] :
% 15.75/15.74 ( class_Orderings_Oord(T_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_xa_2),hAPP(V_g_2,V_xa_2)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__eq__refl,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( V_x = V_y
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__eq__iff,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( V_xa_2 = V_y_2
% 15.75/15.74 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 15.75/15.74 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__linear,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.74 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_le__fun__def,axiom,
% 15.75/15.74 ! [V_g_2,V_f_2,T_a,T_b] :
% 15.75/15.74 ( class_Orderings_Oord(T_b)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 15.75/15.74 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__cases,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => ( V_x != V_y
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__asym,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I10_J,axiom,
% 15.75/15.74 ! [V_z,V_x,V_y,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__trans,axiom,
% 15.75/15.74 ! [V_z,V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I2_J,axiom,
% 15.75/15.74 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 15.75/15.74 => ( V_b = V_c
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_ord__less__eq__trans,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oord(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.74 => ( V_b = V_c
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I1_J,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( V_a = V_b
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_ord__eq__less__trans,axiom,
% 15.75/15.74 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oord(T_a)
% 15.75/15.74 => ( V_a = V_b
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I9_J,axiom,
% 15.75/15.74 ! [V_a,V_b,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__asym_H,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__imp__not__eq2,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => V_y != V_x ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__imp__not__eq,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => V_x != V_y ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__imp__not__less,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__not__sym,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_less__imp__neq,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => V_x != V_y ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__neqE,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( V_x != V_y
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__antisym__conv3,axiom,
% 15.75/15.74 ! [V_xa_2,V_y_2,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_xa_2)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> V_xa_2 = V_y_2 ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__less__linear,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 | V_x = V_y
% 15.75/15.74 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_not__less__iff__gr__or__eq,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_xa_2)
% 15.75/15.74 | V_xa_2 = V_y_2 ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__neq__iff,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( V_xa_2 != V_y_2
% 15.75/15.74 <=> ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_xa_2) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__irrefl,axiom,
% 15.75/15.74 ! [V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zdvd__mult__cancel,axiom,
% 15.75/15.74 ! [V_n,V_m,V_k] :
% 15.75/15.74 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_n)))
% 15.75/15.74 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.74 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zdvd__imp__le,axiom,
% 15.75/15.74 ! [V_n,V_z] :
% 15.75/15.74 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n))
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_n)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_n) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zdvd__not__zless,axiom,
% 15.75/15.74 ! [V_n,V_m] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_m,V_n)
% 15.75/15.74 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zdvd__antisym__nonneg,axiom,
% 15.75/15.74 ! [V_n,V_m] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_n)
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n))
% 15.75/15.74 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 15.75/15.74 => V_m = V_n ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I8_J,axiom,
% 15.75/15.74 ! [V_z,V_x,V_y,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__le__less__trans,axiom,
% 15.75/15.74 ! [V_z,V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I7_J,axiom,
% 15.75/15.74 ! [V_z,V_x,V_y,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__le__trans,axiom,
% 15.75/15.74 ! [V_z,V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I11_J,axiom,
% 15.75/15.74 ! [V_a,V_b,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 15.75/15.74 => ( V_a != V_b
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__le__neq__trans,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => ( V_a != V_b
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__le__imp__less__or__eq,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 | V_x = V_y ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__antisym__conv2,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> V_xa_2 = V_y_2 ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__imp__le,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_leD,axiom,
% 15.75/15.74 ! [V_x,V_y,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 15.75/15.74 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_xt1_I12_J,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( V_a != V_b
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__neq__le__trans,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( V_a != V_b
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__antisym__conv1,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> V_xa_2 = V_y_2 ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_not__leE,axiom,
% 15.75/15.74 ! [V_x,V_y,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 15.75/15.74 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_leI,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__le__less,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 | V_xa_2 = V_y_2 ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_less__le__not__le,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Opreorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 15.75/15.74 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_order__less__le,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Oorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 15.75/15.74 & V_xa_2 != V_y_2 ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__le__less__linear,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.74 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__not__le,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_xa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_linorder__not__less,axiom,
% 15.75/15.74 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.74 ( class_Orderings_Olinorder(T_a)
% 15.75/15.74 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)
% 15.75/15.74 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_pos__poly__pCons,axiom,
% 15.75/15.74 ! [V_pb_2,V_aa_2,T_a] :
% 15.75/15.74 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.74 => ( c_Polynomial_Opos__poly(T_a,c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2))
% 15.75/15.74 <=> ( c_Polynomial_Opos__poly(T_a,V_pb_2)
% 15.75/15.74 | ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.74 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult_Ominus__right,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__right_Ominus,axiom,
% 15.75/15.74 ! [V_x,V_xa,T_a] :
% 15.75/15.74 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult_Ominus__left,axiom,
% 15.75/15.74 ! [V_b,V_a,T_a] :
% 15.75/15.74 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_mult__left_Ominus,axiom,
% 15.75/15.74 ! [V_y,V_x,T_a] :
% 15.75/15.74 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.74 => 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)) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zmult__assoc,axiom,
% 15.75/15.74 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zmult__zminus,axiom,
% 15.75/15.74 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)),V_w) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zmult__commute,axiom,
% 15.75/15.74 ! [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) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zmult__1__right,axiom,
% 15.75/15.74 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zmult__1,axiom,
% 15.75/15.74 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zminus__0,axiom,
% 15.75/15.74 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_int__0__neq__1,axiom,
% 15.75/15.74 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zle__antisym,axiom,
% 15.75/15.74 ! [V_w,V_z] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z)
% 15.75/15.74 => V_z = V_w ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zle__trans,axiom,
% 15.75/15.74 ! [V_k,V_j,V_i] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 15.75/15.74 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k)
% 15.75/15.74 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zless__linear,axiom,
% 15.75/15.74 ! [V_y,V_x] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)
% 15.75/15.74 | V_x = V_y
% 15.75/15.74 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ).
% 15.75/15.74
% 15.75/15.74 fof(fact_zless__le,axiom,
% 15.75/15.74 ! [V_w_2,V_z_2] :
% 15.75/15.74 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)
% 15.75/15.75 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2)
% 15.75/15.75 & V_z_2 != V_w_2 ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_less__fun__def,axiom,
% 15.75/15.75 ! [V_g_2,V_f_2,T_a,T_b] :
% 15.75/15.75 ( class_Orderings_Oord(T_b)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 15.75/15.75 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 15.75/15.75 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zle__linear,axiom,
% 15.75/15.75 ! [V_w,V_z] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 15.75/15.75 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zle__refl,axiom,
% 15.75/15.75 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zmult__zless__mono2,axiom,
% 15.75/15.75 ! [V_k,V_j,V_i] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_pos__zmult__eq__1__iff,axiom,
% 15.75/15.75 ! [V_nb_2,V_m_2] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)
% 15.75/15.75 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_nb_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 15.75/15.75 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 15.75/15.75 & V_nb_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_int__one__le__iff__zero__less,axiom,
% 15.75/15.75 ! [V_z_2] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_int__0__less__1,axiom,
% 15.75/15.75 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_not__pos__poly__0,axiom,
% 15.75/15.75 ! [T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.75 => ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_pos__poly__mult,axiom,
% 15.75/15.75 ! [V_q,V_p,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.75 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 15.75/15.75 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 15.75/15.75 => c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_pos__poly__total,axiom,
% 15.75/15.75 ! [V_p,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.75 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.75 | c_Polynomial_Opos__poly(T_a,V_p)
% 15.75/15.75 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__right_Ozero,axiom,
% 15.75/15.75 ! [V_x,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult_Ozero__right,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__left_Ozero,axiom,
% 15.75/15.75 ! [V_y,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult_Ozero__left,axiom,
% 15.75/15.75 ! [V_b,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 15.75/15.75 ! [V_n,V_x] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zdvd__mono,axiom,
% 15.75/15.75 ! [V_t_2,V_m_2,V_k_2] :
% 15.75/15.75 ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m_2),V_t_2))
% 15.75/15.75 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_t_2))) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 15.75/15.75 ! [V_y,V_x] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 15.75/15.75 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)) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zminus__zminus,axiom,
% 15.75/15.75 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ).
% 15.75/15.75
% 15.75/15.75 fof(fact_uminus__dvd__conv_I2_J,axiom,
% 15.75/15.75 ! [V_t_2,V_d_2] :
% 15.75/15.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_t_2))
% 15.75/15.75 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_t_2))) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_uminus__dvd__conv_I1_J,axiom,
% 15.75/15.75 ! [V_t_2,V_d_2] :
% 15.75/15.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_t_2))
% 15.75/15.75 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_d_2)),V_t_2)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 15.75/15.75 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)) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_compl__le__compl__iff,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.75 ( class_Lattices_Oboolean__algebra(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_xa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_compl__mono,axiom,
% 15.75/15.75 ! [V_y,V_x,T_a] :
% 15.75/15.75 ( class_Lattices_Oboolean__algebra(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_poly__replicate__append,axiom,
% 15.75/15.75 ! [V_x,V_p,V_n,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__ring__1(T_a)
% 15.75/15.75 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(T_a,c_Groups_Oone__class_Oone(T_a),V_n)),V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_poly__rec__pCons,axiom,
% 15.75/15.75 ! [V_pb_2,V_aa_2,T_a,V_z_2,V_f_2,T_b] :
% 15.75/15.75 ( class_Groups_Ozero(T_b)
% 15.75/15.75 => ( hAPP(hAPP(hAPP(V_f_2,c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z_2) = V_z_2
% 15.75/15.75 => c_Polynomial_Opoly__rec(T_a,T_b,V_z_2,V_f_2,c_Polynomial_OpCons(T_b,V_aa_2,V_pb_2)) = hAPP(hAPP(hAPP(V_f_2,V_aa_2),V_pb_2),c_Polynomial_Opoly__rec(T_a,T_b,V_z_2,V_f_2,V_pb_2)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_monom__eq__iff,axiom,
% 15.75/15.75 ! [V_b_2,V_nb_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_nb_2) = c_Polynomial_Omonom(T_a,V_b_2,V_nb_2)
% 15.75/15.75 <=> V_aa_2 = V_b_2 ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_monom__eq__0__iff,axiom,
% 15.75/15.75 ! [V_nb_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_nb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.75 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_monom__eq__0,axiom,
% 15.75/15.75 ! [V_n,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_degree__monom__eq,axiom,
% 15.75/15.75 ! [V_n,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 => c_Polynomial_Odegree(T_a,c_Polynomial_Omonom(T_a,V_a,V_n)) = V_n ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_degree__monom__le,axiom,
% 15.75/15.75 ! [V_n,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Polynomial_Omonom(T_a,V_a,V_n)),V_n) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_minus__monom,axiom,
% 15.75/15.75 ! [V_n,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_n) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__left__idem,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__idem,axiom,
% 15.75/15.75 ! [V_x,T_a] :
% 15.75/15.75 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_times_Oidem,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_compl__eq__compl__iff,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.75 ( class_Lattices_Oboolean__algebra(T_a)
% 15.75/15.75 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_xa_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)
% 15.75/15.75 <=> V_xa_2 = V_y_2 ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_uminus__apply,axiom,
% 15.75/15.75 ! [V_xa_2,V_A_2,T_b,T_a] :
% 15.75/15.75 ( class_Groups_Ouminus(T_a)
% 15.75/15.75 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_xa_2) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_xa_2)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_double__compl,axiom,
% 15.75/15.75 ! [V_x,T_a] :
% 15.75/15.75 ( class_Lattices_Oboolean__algebra(T_a)
% 15.75/15.75 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_monom__Suc,axiom,
% 15.75/15.75 ! [V_n,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => c_Polynomial_Omonom(T_a,V_a,c_Nat_OSuc(V_n)) = c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Polynomial_Omonom(T_a,V_a,V_n)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_poly__monom,axiom,
% 15.75/15.75 ! [V_x,V_n,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Omonom(T_a,V_a,V_n)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_monom__0,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_poly__rec__0,axiom,
% 15.75/15.75 ! [T_a,V_z_2,V_f_2,T_b] :
% 15.75/15.75 ( class_Groups_Ozero(T_b)
% 15.75/15.75 => ( hAPP(hAPP(hAPP(V_f_2,c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z_2) = V_z_2
% 15.75/15.75 => 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 ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_poly__rec_Osimps,axiom,
% 15.75/15.75 ! [V_pb_2,V_aa_2,V_f_2,V_z_2,T_a,T_b] :
% 15.75/15.75 ( class_Groups_Ozero(T_b)
% 15.75/15.75 => c_Polynomial_Opoly__rec(T_a,T_b,V_z_2,V_f_2,c_Polynomial_OpCons(T_b,V_aa_2,V_pb_2)) = hAPP(hAPP(hAPP(V_f_2,V_aa_2),V_pb_2),c_If(T_a,c_fequal(V_pb_2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z_2,c_Polynomial_Opoly__rec(T_a,T_b,V_z_2,V_f_2,V_pb_2))) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_synthetic__div__eq__0__iff,axiom,
% 15.75/15.75 ! [V_c_2,V_pb_2,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.75 => ( c_Polynomial_Osynthetic__div(T_a,V_pb_2,V_c_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.75 <=> c_Polynomial_Odegree(T_a,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_eq__zero__or__degree__less,axiom,
% 15.75/15.75 ! [V_n,V_p,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 15.75/15.75 => ( hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.75 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n) ) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_realpow__minus__mult,axiom,
% 15.75/15.75 ! [V_x,V_n,T_a] :
% 15.75/15.75 ( class_Groups_Omonoid__mult(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_dvd_OmonoD,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,V_f_2,T_a] :
% 15.75/15.75 ( class_Orderings_Oorder(T_a)
% 15.75/15.75 => ( c_Orderings_Oorder_Omono(tc_Nat_Onat,T_a,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2)
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_xa_2),V_y_2))
% 15.75/15.75 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_f_2,V_xa_2),hAPP(V_f_2,V_y_2)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_minus__apply,axiom,
% 15.75/15.75 ! [V_xa_2,V_B_2,V_A_2,T_b,T_a] :
% 15.75/15.75 ( class_Groups_Ominus(T_a)
% 15.75/15.75 => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_xa_2) = c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_xa_2),hAPP(V_B_2,V_xa_2)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__monom,axiom,
% 15.75/15.75 ! [V_b,V_n,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_n) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_le__diff__iff,axiom,
% 15.75/15.75 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_nb_2)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Nat_Odiff__diff__eq,axiom,
% 15.75/15.75 ! [V_n,V_m,V_k] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 15.75/15.75 => 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) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_eq__diff__iff,axiom,
% 15.75/15.75 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_nb_2)
% 15.75/15.75 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2)
% 15.75/15.75 <=> V_m_2 = V_nb_2 ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__diff__cancel,axiom,
% 15.75/15.75 ! [V_n,V_i] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n)
% 15.75/15.75 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__le__mono,axiom,
% 15.75/15.75 ! [V_l,V_n,V_m] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__le__mono2,axiom,
% 15.75/15.75 ! [V_l,V_n,V_m] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__le__self,axiom,
% 15.75/15.75 ! [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) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__mult__distrib2,axiom,
% 15.75/15.75 ! [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)) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__mult__distrib,axiom,
% 15.75/15.75 ! [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)) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult_Odiff__right,axiom,
% 15.75/15.75 ! [V_b_H,V_b,V_a,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__right_Odiff,axiom,
% 15.75/15.75 ! [V_y,V_x,V_xa,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult_Odiff__left,axiom,
% 15.75/15.75 ! [V_b,V_a_H,V_a,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__left_Odiff,axiom,
% 15.75/15.75 ! [V_ya,V_y,V_x,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__0__eq__0,axiom,
% 15.75/15.75 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_minus__nat_Odiff__0,axiom,
% 15.75/15.75 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__self__eq__0,axiom,
% 15.75/15.75 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diffs0__imp__equal,axiom,
% 15.75/15.75 ! [V_n,V_m] :
% 15.75/15.75 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 => V_m = V_n ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_right__minus__eq,axiom,
% 15.75/15.75 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 <=> V_aa_2 = V_b_2 ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_eq__iff__diff__eq__0,axiom,
% 15.75/15.75 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => ( V_aa_2 = V_b_2
% 15.75/15.75 <=> c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__self,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__0__right,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__eq__diff__less__eq,axiom,
% 15.75/15.75 ! [V_d_2,V_c_2,V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_c_2,V_d_2) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_dvd__diff,axiom,
% 15.75/15.75 ! [V_z,V_y,V_x,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__ring__1(T_a)
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 15.75/15.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),c_Groups_Ominus__class_Ominus(T_a,V_y,V_z))) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__eq__diff__eq,axiom,
% 15.75/15.75 ! [V_d_2,V_c_2,V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 15.75/15.75 => ( V_aa_2 = V_b_2
% 15.75/15.75 <=> V_c_2 = V_d_2 ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__commute,axiom,
% 15.75/15.75 ! [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) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_poly__diff,axiom,
% 15.75/15.75 ! [V_x,V_q,V_p,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__ring(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_expand__poly__eq,axiom,
% 15.75/15.75 ! [V_qb_2,V_pb_2,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( V_pb_2 = V_qb_2
% 15.75/15.75 <=> ! [B_n] : hAPP(c_Polynomial_Ocoeff(T_a,V_pb_2),B_n) = hAPP(c_Polynomial_Ocoeff(T_a,V_qb_2),B_n) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__inject,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( c_Polynomial_Ocoeff(T_a,V_xa_2) = c_Polynomial_Ocoeff(T_a,V_y_2)
% 15.75/15.75 <=> V_xa_2 = V_y_2 ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__diff,axiom,
% 15.75/15.75 ! [V_n,V_q,V_p,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__pCons,axiom,
% 15.75/15.75 ! [V_q,V_b,V_p,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,V_b,V_q)) = c_Polynomial_OpCons(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_dvd__diff__nat,axiom,
% 15.75/15.75 ! [V_n,V_m,V_k] :
% 15.75/15.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 15.75/15.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__Suc__Suc,axiom,
% 15.75/15.75 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Suc__diff__diff,axiom,
% 15.75/15.75 ! [V_k,V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n),c_Nat_OSuc(V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_k) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_minus__diff__eq,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_degree__synthetic__div,axiom,
% 15.75/15.75 ! [V_c,V_p,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.75 => c_Polynomial_Odegree(T_a,c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__eq__diff__less,axiom,
% 15.75/15.75 ! [V_d_2,V_c_2,V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_less__imp__diff__less,axiom,
% 15.75/15.75 ! [V_n,V_k,V_j] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 15.75/15.75 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__less__mono2,axiom,
% 15.75/15.75 ! [V_l,V_n,V_m] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_le__iff__diff__le__0,axiom,
% 15.75/15.75 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_less__iff__diff__less__0,axiom,
% 15.75/15.75 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__0,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__less,axiom,
% 15.75/15.75 ! [V_m,V_n] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 15.75/15.75 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zero__less__diff,axiom,
% 15.75/15.75 ! [V_m_2,V_nb_2] :
% 15.75/15.75 ( 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_nb_2,V_m_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__less__Suc,axiom,
% 15.75/15.75 ! [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)) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__is__0__eq_H,axiom,
% 15.75/15.75 ! [V_n,V_m] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.75/15.75 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__is__0__eq,axiom,
% 15.75/15.75 ! [V_nb_2,V_m_2] :
% 15.75/15.75 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_nb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Suc__diff__le,axiom,
% 15.75/15.75 ! [V_m,V_n] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__0,axiom,
% 15.75/15.75 ! [V_n,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_less__diff__iff,axiom,
% 15.75/15.75 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_nb_2)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__less__mono,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_dvd__diffD,axiom,
% 15.75/15.75 ! [V_n,V_m,V_k] :
% 15.75/15.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)))
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 15.75/15.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_dvd__diffD1,axiom,
% 15.75/15.75 ! [V_n,V_m,V_k] :
% 15.75/15.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)))
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 15.75/15.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 15.75/15.75 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__Suc__1,axiom,
% 15.75/15.75 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__pCons__0,axiom,
% 15.75/15.75 ! [V_p,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__pCons__Suc,axiom,
% 15.75/15.75 ! [V_n,V_p,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),c_Nat_OSuc(V_n)) = hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__monom,axiom,
% 15.75/15.75 ! [V_a,V_n,V_m,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( ( V_m = V_n
% 15.75/15.75 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_Omonom(T_a,V_a,V_m)),V_n) = V_a )
% 15.75/15.75 & ( V_m != V_n
% 15.75/15.75 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_Omonom(T_a,V_a,V_m)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_synthetic__div__0,axiom,
% 15.75/15.75 ! [V_c,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.75 => c_Polynomial_Osynthetic__div(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__minus,axiom,
% 15.75/15.75 ! [V_n,V_p,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_poly__dvd__antisym,axiom,
% 15.75/15.75 ! [V_q,V_p,T_a] :
% 15.75/15.75 ( class_Rings_Oidom(T_a)
% 15.75/15.75 => ( hAPP(c_Polynomial_Ocoeff(T_a,V_p),c_Polynomial_Odegree(T_a,V_p)) = hAPP(c_Polynomial_Ocoeff(T_a,V_q),c_Polynomial_Odegree(T_a,V_q))
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_p),V_q))
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_q),V_p))
% 15.75/15.75 => V_p = V_q ) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Suc__pred,axiom,
% 15.75/15.75 ! [V_n] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.75 => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__Suc__less,axiom,
% 15.75/15.75 ! [V_i,V_n] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__eq__0,axiom,
% 15.75/15.75 ! [V_n,V_p,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 15.75/15.75 => hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_le__degree,axiom,
% 15.75/15.75 ! [V_n,V_p,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n) != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Polynomial_Odegree(T_a,V_p)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_leading__coeff__0__iff,axiom,
% 15.75/15.75 ! [V_pb_2,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( hAPP(c_Polynomial_Ocoeff(T_a,V_pb_2),c_Polynomial_Odegree(T_a,V_pb_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_leading__coeff__neq__0,axiom,
% 15.75/15.75 ! [V_p,T_a] :
% 15.75/15.75 ( class_Groups_Ozero(T_a)
% 15.75/15.75 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.75 => hAPP(c_Polynomial_Ocoeff(T_a,V_p),c_Polynomial_Odegree(T_a,V_p)) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Suc__pred_H,axiom,
% 15.75/15.75 ! [V_n] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.75 => V_n = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Suc__diff__1,axiom,
% 15.75/15.75 ! [V_n] :
% 15.75/15.75 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.75 => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_synthetic__div__pCons,axiom,
% 15.75/15.75 ! [V_c,V_p,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.75 => c_Polynomial_Osynthetic__div(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_c) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_power__eq__if,axiom,
% 15.75/15.75 ! [V_p,V_m] :
% 15.75/15.75 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 15.75/15.75 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 => 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)))) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__1,axiom,
% 15.75/15.75 ! [V_n,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 => 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) )
% 15.75/15.75 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_pos__poly__def,axiom,
% 15.75/15.75 ! [V_pb_2,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.75 => ( c_Polynomial_Opos__poly(T_a,V_pb_2)
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Polynomial_Ocoeff(T_a,V_pb_2),c_Polynomial_Odegree(T_a,V_pb_2))) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__linear__power,axiom,
% 15.75/15.75 ! [V_n,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => hAPP(c_Polynomial_Ocoeff(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,V_a,c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),V_n)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_realpow__num__eq__if,axiom,
% 15.75/15.75 ! [V_m,V_n,T_a] :
% 15.75/15.75 ( class_Power_Opower(T_a)
% 15.75/15.75 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 15.75/15.75 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.75 => 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)))) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_lemma__realpow__diff,axiom,
% 15.75/15.75 ! [V_y,V_n,V_p,T_a] :
% 15.75/15.75 ( class_Groups_Omonoid__mult(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_p,V_n)
% 15.75/15.75 => 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) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_synthetic__div__correct_H,axiom,
% 15.75/15.75 ! [V_p,V_c,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__ring__1(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_c),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)),c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))) = V_p ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_Limits_Ominus__diff__minus,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zdiff__zmult__distrib,axiom,
% 15.75/15.75 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zdiff__zmult__distrib2,axiom,
% 15.75/15.75 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__poly__code_I2_J,axiom,
% 15.75/15.75 ! [V_p,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_less__eq__poly__def,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(T_a),V_xa_2,V_y_2)
% 15.75/15.75 <=> ( V_xa_2 = V_y_2
% 15.75/15.75 | c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_xa_2)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_diff__add__cancel,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__diff__cancel,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_coeff__add,axiom,
% 15.75/15.75 ! [V_n,V_q,V_p,T_a] :
% 15.75/15.75 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zdvd__zdiffD,axiom,
% 15.75/15.75 ! [V_n,V_m,V_k] :
% 15.75/15.75 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_m,V_n)))
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n))
% 15.75/15.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_minus__add__cancel,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = V_b ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__minus__cancel,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)) = V_b ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_minus__add,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b),c_Groups_Ouminus__class_Ouminus(T_a,V_a)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_minus__add__distrib,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_less__poly__def,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_xa_2,V_y_2)
% 15.75/15.75 <=> c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_xa_2)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__less__imp__less__left,axiom,
% 15.75/15.75 ! [V_b,V_a,V_c,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 15.75/15.75 => ( 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))
% 15.75/15.75 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__less__imp__less__right,axiom,
% 15.75/15.75 ! [V_b,V_c,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 15.75/15.75 => ( 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))
% 15.75/15.75 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__strict__mono,axiom,
% 15.75/15.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 15.75/15.75 => 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)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__strict__left__mono,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__strict__right__mono,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__less__cancel__left,axiom,
% 15.75/15.75 ! [V_b_2,V_aa_2,V_c_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_aa_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_b_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__less__cancel__right,axiom,
% 15.75/15.75 ! [V_b_2,V_c_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_c_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_pos__poly__add,axiom,
% 15.75/15.75 ! [V_q,V_p,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.75 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 15.75/15.75 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 15.75/15.75 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 15.75/15.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 15.75/15.75 ! [V_d,V_c,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 15.75/15.75 ! [V_d,V_c,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 15.75/15.75 ! [V_c,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_poly__add,axiom,
% 15.75/15.75 ! [V_x,V_q,V_p,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.75 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = c_Groups_Oplus__class_Oplus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__pCons,axiom,
% 15.75/15.75 ! [V_q,V_b,V_p,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,V_b,V_q)) = c_Polynomial_OpCons(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_dvd__add,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 15.75/15.75 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 15.75/15.75 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__right__imp__eq,axiom,
% 15.75/15.75 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.75 ( class_Groups_Ocancel__semigroup__add(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)
% 15.75/15.75 => V_b = V_c ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__imp__eq,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 15.75/15.75 => V_b = V_c ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__left__imp__eq,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ocancel__semigroup__add(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 15.75/15.75 => V_b = V_c ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__right__cancel,axiom,
% 15.75/15.75 ! [V_c_2,V_aa_2,V_b_2,T_a] :
% 15.75/15.75 ( class_Groups_Ocancel__semigroup__add(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2) = c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_aa_2)
% 15.75/15.75 <=> V_b_2 = V_c_2 ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__left__cancel,axiom,
% 15.75/15.75 ! [V_c_2,V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Ocancel__semigroup__add(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_c_2)
% 15.75/15.75 <=> V_b_2 = V_c_2 ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oab__semigroup__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__poly__add__left,axiom,
% 15.75/15.75 ! [V_r,V_q,V_p,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_r) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q),V_r)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__le__cancel__right,axiom,
% 15.75/15.75 ! [V_b_2,V_c_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_c_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__le__cancel__left,axiom,
% 15.75/15.75 ! [V_b_2,V_aa_2,V_c_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_aa_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_b_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__right__mono,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__left__mono,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.75 => 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)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__mono,axiom,
% 15.75/15.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 15.75/15.75 => 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)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__le__imp__le__right,axiom,
% 15.75/15.75 ! [V_b,V_c,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 15.75/15.75 => ( 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))
% 15.75/15.75 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__le__imp__le__left,axiom,
% 15.75/15.75 ! [V_b,V_a,V_c,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 15.75/15.75 => ( 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))
% 15.75/15.75 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__0__left,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Omonoid__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__0,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_double__zero__sym,axiom,
% 15.75/15.75 ! [V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)
% 15.75/15.75 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__0__right,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Omonoid__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add_Ocomm__neutral,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__left_Oadd,axiom,
% 15.75/15.75 ! [V_ya,V_y,V_x,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult_Oadd__left,axiom,
% 15.75/15.75 ! [V_b,V_a_H,V_a,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_a_H)),V_b) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult__right_Oadd,axiom,
% 15.75/15.75 ! [V_y,V_x,V_xa,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_mult_Oadd__right,axiom,
% 15.75/15.75 ! [V_b_H,V_b,V_a,T_a] :
% 15.75/15.75 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_b_H)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_crossproduct__eq,axiom,
% 15.75/15.75 ! [V_z_2,V_xa_2,V_y_2,V_w_2,T_a] :
% 15.75/15.75 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 15.75/15.75 => ( 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_xa_2),V_z_2)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_y_2))
% 15.75/15.75 <=> ( V_w_2 = V_xa_2
% 15.75/15.75 | V_y_2 = V_z_2 ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_combine__common__factor,axiom,
% 15.75/15.75 ! [V_c,V_b,V_e,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Osemiring(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 15.75/15.75 ! [V_b,V_m,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_m) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__class_Odistrib,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring(T_a)
% 15.75/15.75 => 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)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_crossproduct__noteq,axiom,
% 15.75/15.75 ! [V_d_2,V_c_2,V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 15.75/15.75 => ( ( V_aa_2 != V_b_2
% 15.75/15.75 & V_c_2 != V_d_2 )
% 15.75/15.75 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 15.75/15.75 ! [V_z,V_y,V_x,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Oplus__class_Oplus(T_a,V_y,V_z)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__0__iff,axiom,
% 15.75/15.75 ! [V_aa_2,V_b_2,T_a] :
% 15.75/15.75 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 15.75/15.75 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2)
% 15.75/15.75 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__poly__code_I2_J,axiom,
% 15.75/15.75 ! [V_p,T_a] :
% 15.75/15.75 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__poly__code_I1_J,axiom,
% 15.75/15.75 ! [V_q,T_a] :
% 15.75/15.75 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_double__eq__0__iff,axiom,
% 15.75/15.75 ! [V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__monom,axiom,
% 15.75/15.75 ! [V_b,V_n,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_n) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 15.75/15.75 ! [V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 15.75/15.75 ! [V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__nonneg__nonneg,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.75 => 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)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__nonneg__eq__0__iff,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_xa_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 <=> ( V_xa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__increasing,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 15.75/15.75 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__increasing2,axiom,
% 15.75/15.75 ! [V_a,V_b,V_c,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 15.75/15.75 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__nonpos__nonpos,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.75 => 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)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 15.75/15.75 ! [V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 15.75/15.75 ! [V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Olinordered__ab__group__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__pos__pos,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.75 => 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)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__neg__neg,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.75 => 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)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_pos__add__strict,axiom,
% 15.75/15.75 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 15.75/15.75 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_even__less__0__iff,axiom,
% 15.75/15.75 ! [V_aa_2,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.75 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__less__le__mono,axiom,
% 15.75/15.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 15.75/15.75 => 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)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__le__less__mono,axiom,
% 15.75/15.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 15.75/15.75 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 15.75/15.75 => 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)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_sum__squares__eq__zero__iff,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 <=> ( V_xa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__scale__eq__noteq,axiom,
% 15.75/15.75 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 15.75/15.75 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 15.75/15.75 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 => ( ( V_a = V_b
% 15.75/15.75 & V_c != V_d )
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != c_Groups_Oplus__class_Oplus(T_a,V_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_less__add__one,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.75 => 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))) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_minus__unique,axiom,
% 15.75/15.75 ! [V_b,V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_ab__left__minus,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_left__minus,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 15.75/15.75 ! [V_b_2,V_aa_2,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 15.75/15.75 <=> c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_right__minus,axiom,
% 15.75/15.75 ! [V_a,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_add__eq__0__iff,axiom,
% 15.75/15.75 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.75 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.75 => ( c_Groups_Oplus__class_Oplus(T_a,V_xa_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.75 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_xa_2) ) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 15.75/15.75 ! [V_m,V_a,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 15.75/15.75 ! [V_a,V_m,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.75
% 15.75/15.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 15.75/15.75 ! [V_m,T_a] :
% 15.75/15.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.75 => 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) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_mult__diff__mult,axiom,
% 15.75/15.76 ! [V_b,V_a,V_y,V_x,T_a] :
% 15.75/15.76 ( class_Rings_Oring(T_a)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_eq__add__iff2,axiom,
% 15.75/15.76 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Oring(T_a)
% 15.75/15.76 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_c_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)
% 15.75/15.76 <=> V_c_2 = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_eq__add__iff1,axiom,
% 15.75/15.76 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Oring(T_a)
% 15.75/15.76 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_c_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)
% 15.75/15.76 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_c_2) = V_d_2 ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_mult_Oprod__diff__prod,axiom,
% 15.75/15.76 ! [V_b,V_a,V_y,V_x,T_a] :
% 15.75/15.76 ( class_RealVector_Oreal__normed__algebra(T_a)
% 15.75/15.76 => 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))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__minus__eq__add,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_ab__diff__minus,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__def,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Ogroup__add(T_a)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 15.75/15.76 ! [V_y,V_x,T_a] :
% 15.75/15.76 ( class_Rings_Ocomm__ring__1(T_a)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(T_a,V_x,V_y) = c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Ouminus__class_Ouminus(T_a,V_y)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_less__bin__lemma,axiom,
% 15.75/15.76 ! [V_l_2,V_k_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)
% 15.75/15.76 <=> 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__diff__less,axiom,
% 15.75/15.76 ! [V_q,V_n,V_p,T_a] :
% 15.75/15.76 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_q),V_n)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_n) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__diff__le,axiom,
% 15.75/15.76 ! [V_q,V_n,V_p,T_a] :
% 15.75/15.76 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_q),V_n)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_n) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__add__eq__left,axiom,
% 15.75/15.76 ! [V_p,V_q,T_a] :
% 15.75/15.76 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_q),c_Polynomial_Odegree(T_a,V_p))
% 15.75/15.76 => c_Polynomial_Odegree(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Polynomial_Odegree(T_a,V_p) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__add__eq__right,axiom,
% 15.75/15.76 ! [V_q,V_p,T_a] :
% 15.75/15.76 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),c_Polynomial_Odegree(T_a,V_q))
% 15.75/15.76 => c_Polynomial_Odegree(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Polynomial_Odegree(T_a,V_q) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__add__less,axiom,
% 15.75/15.76 ! [V_q,V_n,V_p,T_a] :
% 15.75/15.76 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_q),V_n)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_n) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__add__le,axiom,
% 15.75/15.76 ! [V_q,V_n,V_p,T_a] :
% 15.75/15.76 ( class_Groups_Ocomm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_q),V_n)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_n) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__poly__code_I1_J,axiom,
% 15.75/15.76 ! [V_q,T_a] :
% 15.75/15.76 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_q) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__pos__nonneg,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.76 => 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)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__nonneg__pos,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 15.75/15.76 => 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)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__strict__increasing,axiom,
% 15.75/15.76 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__strict__increasing2,axiom,
% 15.75/15.76 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__neg__nonpos,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.76 => 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)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__nonpos__neg,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.76 => 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)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sum__squares__le__zero__iff,axiom,
% 15.75/15.76 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.76 => ( 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_xa_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)),c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.76 <=> ( V_xa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sum__squares__ge__zero,axiom,
% 15.75/15.76 ! [V_y,V_x,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__ring(T_a)
% 15.75/15.76 => 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))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sum__squares__gt__zero__iff,axiom,
% 15.75/15.76 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__ring__strict(T_a)
% 15.75/15.76 => ( 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_xa_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))
% 15.75/15.76 <=> ( V_xa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_not__sum__squares__lt__zero,axiom,
% 15.75/15.76 ! [V_y,V_x,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__ring(T_a)
% 15.75/15.76 => ~ 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zero__less__two,axiom,
% 15.75/15.76 ! [T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__semidom(T_a)
% 15.75/15.76 => 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))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__add__iff2,axiom,
% 15.75/15.76 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Oordered__ring(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_c_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))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_c_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__add__iff1,axiom,
% 15.75/15.76 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Oordered__ring(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_c_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))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_c_2),V_d_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_less__add__iff1,axiom,
% 15.75/15.76 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Oordered__ring(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_c_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))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_c_2),V_d_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_less__add__iff2,axiom,
% 15.75/15.76 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Oordered__ring(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_c_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))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_unity__coeff__ex,axiom,
% 15.75/15.76 ! [V_l_2,V_P_2,T_a] :
% 15.75/15.76 ( ( class_Rings_Odvd(T_a)
% 15.75/15.76 & class_Rings_Osemiring__0(T_a) )
% 15.75/15.76 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_l_2),B_x)))
% 15.75/15.76 <=> ? [B_x] :
% 15.75/15.76 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l_2),c_Groups_Oplus__class_Oplus(T_a,B_x,c_Groups_Ozero__class_Ozero(T_a))))
% 15.75/15.76 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_real__squared__diff__one__factored,axiom,
% 15.75/15.76 ! [V_x,T_a] :
% 15.75/15.76 ( class_Rings_Oring__1(T_a)
% 15.75/15.76 => 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))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_inf__period_I4_J,axiom,
% 15.75/15.76 ! [V_t_2,V_D_2,V_d_2,T_a] :
% 15.75/15.76 ( ( class_Rings_Ocomm__ring(T_a)
% 15.75/15.76 & class_Rings_Odvd(T_a) )
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_d_2),V_D_2))
% 15.75/15.76 => ! [B_x,B_k] :
% 15.75/15.76 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_d_2),c_Groups_Oplus__class_Oplus(T_a,B_x,V_t_2)))
% 15.75/15.76 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_d_2),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_k),V_D_2)),V_t_2))) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_inf__period_I3_J,axiom,
% 15.75/15.76 ! [V_t_2,V_D_2,V_d_2,T_a] :
% 15.75/15.76 ( ( class_Rings_Ocomm__ring(T_a)
% 15.75/15.76 & class_Rings_Odvd(T_a) )
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_d_2),V_D_2))
% 15.75/15.76 => ! [B_x,B_k] :
% 15.75/15.76 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_d_2),c_Groups_Oplus__class_Oplus(T_a,B_x,V_t_2)))
% 15.75/15.76 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_d_2),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_k),V_D_2)),V_t_2))) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zle__diff1__eq,axiom,
% 15.75/15.76 ! [V_z_2,V_w_2] :
% 15.75/15.76 ( 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)))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_poly__pCons,axiom,
% 15.75/15.76 ! [V_x,V_p,V_a,T_a] :
% 15.75/15.76 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.76 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),V_x) = c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_convex__bound__le,axiom,
% 15.75/15.76 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__semiring__1(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 15.75/15.76 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 15.75/15.76 => 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) ) ) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_convex__bound__lt,axiom,
% 15.75/15.76 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 15.75/15.76 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 15.75/15.76 => 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) ) ) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pcompose__pCons,axiom,
% 15.75/15.76 ! [V_q,V_p,V_a,T_a] :
% 15.75/15.76 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.76 => c_Polynomial_Opcompose(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_q) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q),c_Polynomial_Opcompose(T_a,V_p,V_q))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_realpow__two__diff,axiom,
% 15.75/15.76 ! [V_y,V_x,T_a] :
% 15.75/15.76 ( class_Rings_Ocomm__ring__1(T_a)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__def,axiom,
% 15.75/15.76 ! [V_ra_2,V_qb_2,V_y_2,V_xa_2,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_xa_2,V_y_2,V_qb_2,V_ra_2)
% 15.75/15.76 <=> ( V_xa_2 = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_qb_2),V_y_2),V_ra_2)
% 15.75/15.76 & ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 => V_qb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 15.75/15.76 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 => ( V_ra_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_ra_2),c_Polynomial_Odegree(T_a,V_y_2)) ) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_Deriv_Oadd__diff__add,axiom,
% 15.75/15.76 ! [V_d,V_b,V_c,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Oab__group__add(T_a)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(T_a,V_c,V_d)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__le,axiom,
% 15.75/15.76 ! [V_p,V_n,T_a] :
% 15.75/15.76 ( class_Groups_Ozero(T_a)
% 15.75/15.76 => ( ! [B_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,B_i)
% 15.75/15.76 => hAPP(c_Polynomial_Ocoeff(T_a,V_p),B_i) = c_Groups_Ozero__class_Ozero(T_a) )
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__add__inverse2,axiom,
% 15.75/15.76 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__add__inverse,axiom,
% 15.75/15.76 ! [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 ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__diff__left,axiom,
% 15.75/15.76 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__cancel,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__cancel2,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zminus__zadd__distrib,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__int__def,axiom,
% 15.75/15.76 ! [V_w,V_z] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__int__def__symmetric,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__strict__right__mono,axiom,
% 15.75/15.76 ! [V_k,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_termination__basic__simps_I2_J,axiom,
% 15.75/15.76 ! [V_y,V_z,V_x] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_termination__basic__simps_I1_J,axiom,
% 15.75/15.76 ! [V_z,V_y,V_x] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__lessD1,axiom,
% 15.75/15.76 ! [V_k,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_less__add__eq__less,axiom,
% 15.75/15.76 ! [V_n,V_m,V_l,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 15.75/15.76 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__less__mono,axiom,
% 15.75/15.76 ! [V_l,V_k,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__less__mono1,axiom,
% 15.75/15.76 ! [V_k,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_trans__less__add2,axiom,
% 15.75/15.76 ! [V_m,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_trans__less__add1,axiom,
% 15.75/15.76 ! [V_m,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__add__left__cancel__less,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_not__add__less2,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_not__add__less1,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__Suc__shift,axiom,
% 15.75/15.76 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__Suc,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__Suc__right,axiom,
% 15.75/15.76 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_dvd__reduce,axiom,
% 15.75/15.76 ! [V_nb_2,V_k_2] :
% 15.75/15.76 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_nb_2,V_k_2)))
% 15.75/15.76 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_nb_2)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__mult__distrib,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__mult__distrib2,axiom,
% 15.75/15.76 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_left__add__mult__distrib,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__add2,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__add1,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__iff__add,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.75/15.76 <=> ? [B_k] : V_nb_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__add__left__cancel__le,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_m_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_nb_2) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_trans__le__add1,axiom,
% 15.75/15.76 ! [V_m,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_trans__le__add2,axiom,
% 15.75/15.76 ! [V_m,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__le__mono1,axiom,
% 15.75/15.76 ! [V_k,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__le__mono,axiom,
% 15.75/15.76 ! [V_l,V_k,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__leD2,axiom,
% 15.75/15.76 ! [V_n,V_k,V_m] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__leD1,axiom,
% 15.75/15.76 ! [V_n,V_k,V_m] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__leE,axiom,
% 15.75/15.76 ! [V_n,V_k,V_m] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 15.75/15.76 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.75/15.76 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__eq__self__zero,axiom,
% 15.75/15.76 ! [V_n,V_m] :
% 15.75/15.76 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m
% 15.75/15.76 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__is__0,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2] :
% 15.75/15.76 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_nb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.76 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.76 & V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_Nat_Oadd__0__right,axiom,
% 15.75/15.76 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 15.75/15.76
% 15.75/15.76 fof(fact_plus__nat_Oadd__0,axiom,
% 15.75/15.76 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__left__mono,axiom,
% 15.75/15.76 ! [V_k,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_termination__basic__simps_I4_J,axiom,
% 15.75/15.76 ! [V_y,V_z,V_x] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_termination__basic__simps_I3_J,axiom,
% 15.75/15.76 ! [V_z,V_y,V_x] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__0,axiom,
% 15.75/15.76 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__0__right,axiom,
% 15.75/15.76 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__zmult__distrib2,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__zmult__distrib,axiom,
% 15.75/15.76 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__by__0,axiom,
% 15.75/15.76 ! [V_x,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => c_Polynomial_Opdivmod__rel(T_a,V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__0,axiom,
% 15.75/15.76 ! [V_y,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => c_Polynomial_Opdivmod__rel(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__by__0__iff,axiom,
% 15.75/15.76 ! [V_ra_2,V_qb_2,V_xa_2,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_xa_2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_qb_2,V_ra_2)
% 15.75/15.76 <=> ( V_qb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 & V_ra_2 = V_xa_2 ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__0__iff,axiom,
% 15.75/15.76 ! [V_ra_2,V_qb_2,V_y_2,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y_2,V_qb_2,V_ra_2)
% 15.75/15.76 <=> ( V_qb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 & V_ra_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__unique__div,axiom,
% 15.75/15.76 ! [V_r2,V_q2,V_r1,V_q1,V_y,V_x,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q1,V_r1)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q2,V_r2)
% 15.75/15.76 => V_q1 = V_q2 ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__unique__mod,axiom,
% 15.75/15.76 ! [V_r2,V_q2,V_r1,V_q1,V_y,V_x,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q1,V_r1)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q2,V_r2)
% 15.75/15.76 => V_r1 = V_r2 ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__unique,axiom,
% 15.75/15.76 ! [V_r2,V_q2,V_r1,V_q1,V_y,V_x,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q1,V_r1)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q2,V_r2)
% 15.75/15.76 => ( V_q1 = V_q2
% 15.75/15.76 & V_r1 = V_r2 ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_power__add,axiom,
% 15.75/15.76 ! [V_n,V_m,V_a,T_a] :
% 15.75/15.76 ( class_Groups_Omonoid__mult(T_a)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 15.75/15.76 ! [V_q,V_p,V_x,T_a] :
% 15.75/15.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_one__is__add,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2] :
% 15.75/15.76 ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.75/15.76 <=> ( ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 15.75/15.76 & V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 15.75/15.76 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.76 & V_nb_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__is__1,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2] :
% 15.75/15.76 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_nb_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 15.75/15.76 <=> ( ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 15.75/15.76 & V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 15.75/15.76 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.76 & V_nb_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__gr__0,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2] :
% 15.75/15.76 ( 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_m_2,V_nb_2))
% 15.75/15.76 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 15.75/15.76 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 15.75/15.76 ! [V_y,V_x] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_less__add__Suc1,axiom,
% 15.75/15.76 ! [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))) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_less__add__Suc2,axiom,
% 15.75/15.76 ! [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))) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_less__iff__Suc__add,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_nb_2)
% 15.75/15.76 <=> ? [B_k] : V_nb_2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_odd__nonzero,axiom,
% 15.75/15.76 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__zless__mono,axiom,
% 15.75/15.76 ! [V_z,V_z_H,V_w,V_w_H] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__add__0,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_mult__Suc__right,axiom,
% 15.75/15.76 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Nat_OSuc(V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_mult__Suc,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zless__add1__eq,axiom,
% 15.75/15.76 ! [V_z_2,V_w_2] :
% 15.75/15.76 ( 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)))
% 15.75/15.76 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)
% 15.75/15.76 | V_w_2 = V_z_2 ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__diff__inverse,axiom,
% 15.75/15.76 ! [V_n,V_m] :
% 15.75/15.76 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.75/15.76 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_less__diff__conv,axiom,
% 15.75/15.76 ! [V_k_2,V_j_2,V_i_2] :
% 15.75/15.76 ( 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))
% 15.75/15.76 <=> 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) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_Suc__eq__plus1__left,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_Suc__eq__plus1,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__zminus__inverse2,axiom,
% 15.75/15.76 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__diff__right,axiom,
% 15.75/15.76 ! [V_i,V_j,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__diff__conv,axiom,
% 15.75/15.76 ! [V_i_2,V_k_2,V_j_2] :
% 15.75/15.76 ( 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)
% 15.75/15.76 <=> 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__add__diff,axiom,
% 15.75/15.76 ! [V_m,V_n,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__add__diff__inverse,axiom,
% 15.75/15.76 ! [V_m,V_n] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 15.75/15.76 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__diff__assoc,axiom,
% 15.75/15.76 ! [V_i,V_j,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 15.75/15.76 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__diff__conv2,axiom,
% 15.75/15.76 ! [V_i_2,V_j_2,V_k_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_j_2)
% 15.75/15.76 => ( 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))
% 15.75/15.76 <=> 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) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__add__diff__inverse2,axiom,
% 15.75/15.76 ! [V_m,V_n] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 15.75/15.76 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__imp__diff__is__add,axiom,
% 15.75/15.76 ! [V_k_2,V_j_2,V_i_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 15.75/15.76 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_k_2
% 15.75/15.76 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_i_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__add__assoc,axiom,
% 15.75/15.76 ! [V_i,V_j,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__diff__assoc2,axiom,
% 15.75/15.76 ! [V_i,V_j,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 15.75/15.76 => 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) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__add__assoc2,axiom,
% 15.75/15.76 ! [V_i,V_j,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 15.75/15.76 => 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) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdvd__period,axiom,
% 15.75/15.76 ! [V_c_2,V_t_2,V_xa_2,V_d_2,V_aa_2] :
% 15.75/15.76 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_aa_2),V_d_2))
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_aa_2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_xa_2,V_t_2)))
% 15.75/15.76 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_aa_2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_xa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_c_2),V_d_2)),V_t_2))) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdvd__reduce,axiom,
% 15.75/15.76 ! [V_m_2,V_nb_2,V_k_2] :
% 15.75/15.76 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_nb_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2))))
% 15.75/15.76 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),V_nb_2)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zpower__zadd__distrib,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__diff__split__asm,axiom,
% 15.75/15.76 ! [V_b_2,V_aa_2,V_P_2] :
% 15.75/15.76 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 15.75/15.76 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 15.75/15.76 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 15.75/15.76 | ? [B_d] :
% 15.75/15.76 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 15.75/15.76 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__diff__split,axiom,
% 15.75/15.76 ! [V_b_2,V_aa_2,V_P_2] :
% 15.75/15.76 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 15.75/15.76 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 15.75/15.76 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 15.75/15.76 & ! [B_d] :
% 15.75/15.76 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 15.75/15.76 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_odd__less__0,axiom,
% 15.75/15.76 ! [V_z_2] :
% 15.75/15.76 ( 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))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zle__add1__eq__le,axiom,
% 15.75/15.76 ! [V_z_2,V_w_2] :
% 15.75/15.76 ( 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)))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add1__zle__eq,axiom,
% 15.75/15.76 ! [V_z_2,V_w_2] :
% 15.75/15.76 ( 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)
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zless__imp__add1__zle,axiom,
% 15.75/15.76 ! [V_z,V_w] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)
% 15.75/15.76 => 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) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__Suc__diff__eq1,axiom,
% 15.75/15.76 ! [V_m,V_j,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Nat_OSuc(V_j)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_diff__Suc__diff__eq2,axiom,
% 15.75/15.76 ! [V_m,V_j,V_k] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__le__add__iff1,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 15.75/15.76 => ( 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_m_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_nb_2))
% 15.75/15.76 <=> 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_m_2),V_nb_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__diff__add__eq1,axiom,
% 15.75/15.76 ! [V_n,V_m,V_u,V_i,V_j] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i)
% 15.75/15.76 => 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) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__eq__add__iff1,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 15.75/15.76 => ( 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_m_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_nb_2)
% 15.75/15.76 <=> 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_m_2) = V_nb_2 ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__le__add__iff2,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 15.75/15.76 => ( 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_m_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_nb_2))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_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_nb_2)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__diff__add__eq2,axiom,
% 15.75/15.76 ! [V_n,V_m,V_u,V_j,V_i] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 15.75/15.76 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_i)),V_u),V_n)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__eq__add__iff2,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 15.75/15.76 => ( 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_m_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_nb_2)
% 15.75/15.76 <=> V_m_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_nb_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pdivmod__rel__mult,axiom,
% 15.75/15.76 ! [V_r_H,V_q_H,V_z,V_r,V_q,V_y,V_x,T_a] :
% 15.75/15.76 ( class_Fields_Ofield(T_a)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q,V_r)
% 15.75/15.76 => ( c_Polynomial_Opdivmod__rel(T_a,V_q,V_z,V_q_H,V_r_H)
% 15.75/15.76 => c_Polynomial_Opdivmod__rel(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_y),V_z),V_q_H,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_y),V_r_H),V_r)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__mult__le,axiom,
% 15.75/15.76 ! [V_q,V_p,T_a] :
% 15.75/15.76 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),c_Polynomial_Odegree(T_a,V_q))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_degree__mult__eq,axiom,
% 15.75/15.76 ! [V_q,V_p,T_a] :
% 15.75/15.76 ( class_Rings_Oidom(T_a)
% 15.75/15.76 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 => ( V_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 => c_Polynomial_Odegree(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),c_Polynomial_Odegree(T_a,V_q)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_mult__monom,axiom,
% 15.75/15.76 ! [V_n,V_b,V_m,V_a,T_a] :
% 15.75/15.76 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(T_a,V_a,V_m)),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__imp__0__less,axiom,
% 15.75/15.76 ! [V_z] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_add__eq__if,axiom,
% 15.75/15.76 ! [V_n,V_m] :
% 15.75/15.76 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.76 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_n )
% 15.75/15.76 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__less__add__iff2,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 15.75/15.76 => ( 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_m_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_nb_2))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_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_nb_2)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__less__add__iff1,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 15.75/15.76 => ( 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_m_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_nb_2))
% 15.75/15.76 <=> 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_m_2),V_nb_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_mult__eq__if,axiom,
% 15.75/15.76 ! [V_n,V_m] :
% 15.75/15.76 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 15.75/15.76 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_coeff__mult__degree__sum,axiom,
% 15.75/15.76 ! [V_q,V_p,T_a] :
% 15.75/15.76 ( class_Rings_Ocomm__semiring__0(T_a)
% 15.75/15.76 => hAPP(c_Polynomial_Ocoeff(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),c_Polynomial_Odegree(T_a,V_q))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Polynomial_Ocoeff(T_a,V_p),c_Polynomial_Odegree(T_a,V_p))),hAPP(c_Polynomial_Ocoeff(T_a,V_q),c_Polynomial_Odegree(T_a,V_q))) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_self__quotient__aux1,axiom,
% 15.75/15.76 ! [V_q,V_r,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 15.75/15.76 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_self__quotient__aux2,axiom,
% 15.75/15.76 ! [V_q,V_r,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 15.75/15.76 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__assoc,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__left__commute,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zadd__commute,axiom,
% 15.75/15.76 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__add__right__cancel,axiom,
% 15.75/15.76 ! [V_nb_2,V_k_2,V_m_2] :
% 15.75/15.76 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_k_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_nb_2,V_k_2)
% 15.75/15.76 <=> V_m_2 = V_nb_2 ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__add__left__cancel,axiom,
% 15.75/15.76 ! [V_nb_2,V_m_2,V_k_2] :
% 15.75/15.76 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_m_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2)
% 15.75/15.76 <=> V_m_2 = V_nb_2 ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__add__assoc,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__add__left__commute,axiom,
% 15.75/15.76 ! [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)) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nat__add__commute,axiom,
% 15.75/15.76 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_q__pos__lemma,axiom,
% 15.75/15.76 ! [V_r_H,V_q_H,V_b_H] :
% 15.75/15.76 ( 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))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_q__neg__lemma,axiom,
% 15.75/15.76 ! [V_r_H,V_q_H,V_b_H] :
% 15.75/15.76 ( 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))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_unique__quotient__lemma,axiom,
% 15.75/15.76 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 15.75/15.76 ( 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))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__mono2__lemma,axiom,
% 15.75/15.76 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 15.75/15.76 ( 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)
% 15.75/15.76 => ( 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))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_unique__quotient__lemma__neg,axiom,
% 15.75/15.76 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 15.75/15.76 ( 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))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 15.75/15.76 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 15.75/15.76 ( 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)
% 15.75/15.76 => ( 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))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 15.75/15.76 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_tsub__def,axiom,
% 15.75/15.76 ! [V_x,V_y] :
% 15.75/15.76 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 15.75/15.76 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) )
% 15.75/15.76 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 15.75/15.76 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_le__Suc__ex__iff,axiom,
% 15.75/15.76 ! [V_l_2,V_k_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_l_2)
% 15.75/15.76 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,B_n) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 15.75/15.76 ! [V_y,V_x] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_tsub__eq,axiom,
% 15.75/15.76 ! [V_x,V_y] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 15.75/15.76 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_int__power__div__base,axiom,
% 15.75/15.76 ! [V_k,V_m] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__poly__def,axiom,
% 15.75/15.76 ! [V_x,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 15.75/15.76 & ( V_x != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.76 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) )
% 15.75/15.76 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))) ) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__eq__0__iff,axiom,
% 15.75/15.76 ! [V_k_2,V_i_2] :
% 15.75/15.76 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.76 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.76 | ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i_2)
% 15.75/15.76 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2) )
% 15.75/15.76 | ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 15.75/15.76 ! [V_aa_2,V_b_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)
% 15.75/15.76 => ( 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_aa_2,V_b_2))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_aa_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 15.75/15.76 ! [V_i_2,V_k_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)
% 15.75/15.76 => ( 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))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,V_i_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 15.75/15.76 ! [V_b_2,V_aa_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_aa_2)
% 15.75/15.76 => ( 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_aa_2,V_b_2))
% 15.75/15.76 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_2,V_aa_2)
% 15.75/15.76 & c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__mono2,axiom,
% 15.75/15.76 ! [V_b,V_b_H,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 15.75/15.76 => 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)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__nonneg__neg__le0,axiom,
% 15.75/15.76 ! [V_b,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__pos__pos__trivial,axiom,
% 15.75/15.76 ! [V_b,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,V_b)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 15.75/15.76 ! [V_aa_2,V_b_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => ( 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_aa_2,V_b_2))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_aa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__nonpos__pos__le0,axiom,
% 15.75/15.76 ! [V_b,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__mono2__neg,axiom,
% 15.75/15.76 ! [V_b,V_b_H,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 15.75/15.76 => 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)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__neg__neg__trivial,axiom,
% 15.75/15.76 ! [V_b,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__mono1,axiom,
% 15.75/15.76 ! [V_b,V_a_H,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,V_a_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__mono1__neg,axiom,
% 15.75/15.76 ! [V_b,V_a_H,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,V_a_H)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_int__div__less__self,axiom,
% 15.75/15.76 ! [V_k,V_x] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k)
% 15.75/15.76 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_k),V_x) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__zmult2__eq,axiom,
% 15.75/15.76 ! [V_b,V_a,V_c] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_c)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),V_c) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__minus,axiom,
% 15.75/15.76 ! [V_x,T_a] :
% 15.75/15.76 ( class_RealVector_Oreal__normed__vector(T_a)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__one,axiom,
% 15.75/15.76 ! [T_a] :
% 15.75/15.76 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__sgn,axiom,
% 15.75/15.76 ! [V_a,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => 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) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__times,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__0__0,axiom,
% 15.75/15.76 ! [V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn0,axiom,
% 15.75/15.76 ! [T_a] :
% 15.75/15.76 ( class_Groups_Osgn__if(T_a)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__mult,axiom,
% 15.75/15.76 ! [V_y,V_x,T_a] :
% 15.75/15.76 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 15.75/15.76 => 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)) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__zero__iff,axiom,
% 15.75/15.76 ! [V_xa_2,T_a] :
% 15.75/15.76 ( class_RealVector_Oreal__normed__vector(T_a)
% 15.75/15.76 => ( c_Groups_Osgn__class_Osgn(T_a,V_xa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 <=> V_xa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__zero,axiom,
% 15.75/15.76 ! [T_a] :
% 15.75/15.76 ( class_RealVector_Oreal__normed__vector(T_a)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__less,axiom,
% 15.75/15.76 ! [V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Osgn__class_Osgn(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__greater,axiom,
% 15.75/15.76 ! [V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Osgn__class_Osgn(T_a,V_aa_2))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__zero,axiom,
% 15.75/15.76 ! [V_b] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__0,axiom,
% 15.75/15.76 ! [V_a,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__by__0,axiom,
% 15.75/15.76 ! [V_a,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdvd__mult__div__cancel,axiom,
% 15.75/15.76 ! [V_m,V_n] :
% 15.75/15.76 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m))
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_m,V_n)) = V_m ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__mult1,axiom,
% 15.75/15.76 ! [V_b,V_a,V_c,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => 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) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__mult2,axiom,
% 15.75/15.76 ! [V_b,V_a,V_c,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => 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) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__self1__is__id,axiom,
% 15.75/15.76 ! [V_a,V_b,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = V_a ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__self2__is__id,axiom,
% 15.75/15.76 ! [V_a,V_b,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = V_a ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__mult1__if,axiom,
% 15.75/15.76 ! [V_b,V_a,V_c,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => 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) )
% 15.75/15.76 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => 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) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_dvd__mult__div__cancel,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_a)) = V_b ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__swap,axiom,
% 15.75/15.76 ! [V_a,V_b,V_c,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_c)) = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_dvd__div__mult__self,axiom,
% 15.75/15.76 ! [V_b,V_a,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_a)),V_a) = V_b ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_dvd__div__mult,axiom,
% 15.75/15.76 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_a)),V_c) = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c),V_a) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__div__if__dvd,axiom,
% 15.75/15.76 ! [V_w,V_z,V_x,V_y,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 15.75/15.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(T_a,V_x,V_y)),c_Divides_Odiv__class_Odiv(T_a,V_w,V_z)) = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__power,axiom,
% 15.75/15.76 ! [V_n,V_x,V_y,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 15.75/15.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Divides_Odiv__class_Odiv(T_a,V_x,V_y)),V_n) = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__dvd__div,axiom,
% 15.75/15.76 ! [V_c_2,V_b_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_aa_2),V_b_2))
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_aa_2),V_c_2))
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Divides_Odiv__class_Odiv(T_a,V_b_2,V_aa_2)),c_Divides_Odiv__class_Odiv(T_a,V_c_2,V_aa_2)))
% 15.75/15.76 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b_2),V_c_2)) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__by__1,axiom,
% 15.75/15.76 ! [V_a,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__self,axiom,
% 15.75/15.76 ! [V_a,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,V_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__self,axiom,
% 15.75/15.76 ! [V_a] :
% 15.75/15.76 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_dvd__div__neg,axiom,
% 15.75/15.76 ! [V_x,V_y,T_a] :
% 15.75/15.76 ( class_Divides_Oring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,V_x,c_Groups_Ouminus__class_Ouminus(T_a,V_y)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_x,V_y)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_dvd__neg__div,axiom,
% 15.75/15.76 ! [V_x,V_y,T_a] :
% 15.75/15.76 ( class_Divides_Oring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x),V_y) = c_Groups_Ouminus__class_Ouminus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_x,V_y)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__zminus2,axiom,
% 15.75/15.76 ! [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) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_zdiv__zminus__zminus,axiom,
% 15.75/15.76 ! [V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_a),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_b)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 15.75/15.76 ! [V_aa_2,V_b_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_aa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 15.75/15.76 ! [V_aa_2,V_b_2] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_aa_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__neg__pos__less0,axiom,
% 15.75/15.76 ! [V_b,V_a] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 15.75/15.76 ! [V_y,V_x] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 15.75/15.76 => 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)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__add,axiom,
% 15.75/15.76 ! [V_y,V_x,V_z,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y),V_z) = c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_x,V_z),c_Divides_Odiv__class_Odiv(T_a,V_y,V_z)) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__self2,axiom,
% 15.75/15.76 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__mult__self1,axiom,
% 15.75/15.76 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__add__self1,axiom,
% 15.75/15.76 ! [V_a,V_b,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_a),V_b) = c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_div__add__self2,axiom,
% 15.75/15.76 ! [V_a,V_b,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_dvd__div__div__eq__mult,axiom,
% 15.75/15.76 ! [V_d_2,V_b_2,V_c_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_aa_2),V_b_2))
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c_2),V_d_2))
% 15.75/15.76 => ( c_Divides_Odiv__class_Odiv(T_a,V_b_2,V_aa_2) = c_Divides_Odiv__class_Odiv(T_a,V_d_2,V_c_2)
% 15.75/15.76 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_d_2) ) ) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_dvd__div__eq__mult,axiom,
% 15.75/15.76 ! [V_c_2,V_b_2,V_aa_2,T_a] :
% 15.75/15.76 ( class_Divides_Osemiring__div(T_a)
% 15.75/15.76 => ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_aa_2),V_b_2))
% 15.75/15.76 => ( c_Divides_Odiv__class_Odiv(T_a,V_b_2,V_aa_2) = V_c_2
% 15.75/15.76 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_aa_2) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__pos,axiom,
% 15.75/15.76 ! [V_a,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__1__pos,axiom,
% 15.75/15.76 ! [V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Oone__class_Oone(T_a)
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__if,axiom,
% 15.75/15.76 ! [V_x,T_a] :
% 15.75/15.76 ( class_Groups_Osgn__if(T_a)
% 15.75/15.76 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 15.75/15.76 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 15.75/15.76 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 15.75/15.76 & ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__neg,axiom,
% 15.75/15.76 ! [V_a,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 15.75/15.76 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_sgn__1__neg,axiom,
% 15.75/15.76 ! [V_aa_2,T_a] :
% 15.75/15.76 ( class_Rings_Olinordered__idom(T_a)
% 15.75/15.76 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))
% 15.75/15.76 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_split__zdiv,axiom,
% 15.75/15.76 ! [V_k_2,V_nb_2,V_P_2] :
% 15.75/15.76 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))
% 15.75/15.76 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.76 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 15.75/15.76 & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)
% 15.75/15.76 => ! [B_i] :
% 15.75/15.76 ( ? [B_j] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B_j)
% 15.75/15.76 & c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_k_2)
% 15.75/15.76 & V_nb_2 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j) )
% 15.75/15.76 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 15.75/15.76 & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 => ! [B_i] :
% 15.75/15.76 ( ? [B_j] :
% 15.75/15.76 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,B_j)
% 15.75/15.76 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,B_j,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 15.75/15.76 & V_nb_2 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j) )
% 15.75/15.76 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_divmod__int__rel__div__eq,axiom,
% 15.75/15.76 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 15.75/15.76 ( V_a_1 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y),V_r_1)
% 15.75/15.76 => ( ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_1)
% 15.75/15.76 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1) ) )
% 15.75/15.76 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)
% 15.75/15.76 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1)
% 15.75/15.76 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r_1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) )
% 15.75/15.76 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.76 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_z3div__def,axiom,
% 15.75/15.76 ! [V_k,V_l] :
% 15.75/15.76 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_l)
% 15.75/15.76 => c_SMT_Oz3div(V_k,V_l) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_k,V_l) )
% 15.75/15.76 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_l)
% 15.75/15.76 => 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))) ) ) ).
% 15.75/15.76
% 15.75/15.76 fof(fact_decr__mult__lemma,axiom,
% 15.75/15.77 ! [V_k_2,V_P_2,V_d_2] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d_2)
% 15.75/15.77 => ( ! [B_x] :
% 15.75/15.77 ( hBOOL(hAPP(V_P_2,B_x))
% 15.75/15.77 => hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,B_x,V_d_2))) )
% 15.75/15.77 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)
% 15.75/15.77 => ! [B_x] :
% 15.75/15.77 ( hBOOL(hAPP(V_P_2,B_x))
% 15.75/15.77 => 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)))) ) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__poly__eq,axiom,
% 15.75/15.77 ! [V_r,V_q,V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q,V_r)
% 15.75/15.77 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y) = V_q ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_nat__mult__div__cancel__disj,axiom,
% 15.75/15.77 ! [V_n,V_m,V_k] :
% 15.75/15.77 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.77 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 15.75/15.77 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.77 => 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) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__div__minus__left,axiom,
% 15.75/15.77 ! [V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => 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)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__div__minus__right,axiom,
% 15.75/15.77 ! [V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_y)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__div__mult__right,axiom,
% 15.75/15.77 ! [V_z,V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_y),V_z)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y),V_z) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_nat__mult__div__cancel1,axiom,
% 15.75/15.77 ! [V_n,V_m,V_k] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 15.75/15.77 => 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) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__mult2__eq,axiom,
% 15.75/15.77 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,V_b),V_c) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__1,axiom,
% 15.75/15.77 ! [V_m] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__less__dividend,axiom,
% 15.75/15.77 ! [V_m,V_n] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n)
% 15.75/15.77 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 15.75/15.77 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__mult__self1__is__m,axiom,
% 15.75/15.77 ! [V_m,V_n] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.77 => 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 ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__mult__self__is__m,axiom,
% 15.75/15.77 ! [V_m,V_n] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.77 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_n) = V_m ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__le__mono2,axiom,
% 15.75/15.77 ! [V_k,V_n,V_m] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 15.75/15.77 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.75/15.77 => 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)) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__less,axiom,
% 15.75/15.77 ! [V_n,V_m] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.75/15.77 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__le__mono,axiom,
% 15.75/15.77 ! [V_k,V_n,V_m] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 15.75/15.77 => 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)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__le__dividend,axiom,
% 15.75/15.77 ! [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) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__poly__less,axiom,
% 15.75/15.77 ! [V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_x),c_Polynomial_Odegree(T_a,V_y))
% 15.75/15.77 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__if,axiom,
% 15.75/15.77 ! [V_m,V_n] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.77 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.75/15.77 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 15.75/15.77 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.75/15.77 => 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)) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_div__geq,axiom,
% 15.75/15.77 ! [V_m,V_n] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.77 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 15.75/15.77 => 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)) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_split__div,axiom,
% 15.75/15.77 ! [V_k_2,V_nb_2,V_P_2] :
% 15.75/15.77 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))
% 15.75/15.77 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.77 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 15.75/15.77 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.77 => ! [B_i,B_j] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_k_2)
% 15.75/15.77 => ( V_nb_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i),B_j)
% 15.75/15.77 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_zsgn__def,axiom,
% 15.75/15.77 ! [V_i] :
% 15.75/15.77 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.77 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 15.75/15.77 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 15.75/15.77 => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i)
% 15.75/15.77 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 15.75/15.77 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i)
% 15.75/15.77 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_split__div_H,axiom,
% 15.75/15.77 ! [V_nb_2,V_m_2,V_P_2] :
% 15.75/15.77 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m_2,V_nb_2)))
% 15.75/15.77 <=> ( ( V_nb_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 15.75/15.77 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 15.75/15.77 | ? [B_q] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),B_q),V_m_2)
% 15.75/15.77 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc(B_q)))
% 15.75/15.77 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_split__div__lemma,axiom,
% 15.75/15.77 ! [V_m_2,V_qb_2,V_nb_2] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)
% 15.75/15.77 => ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_qb_2),V_m_2)
% 15.75/15.77 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc(V_qb_2))) )
% 15.75/15.77 <=> V_qb_2 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m_2,V_nb_2) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_le__div__geq,axiom,
% 15.75/15.77 ! [V_m,V_n] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 15.75/15.77 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 15.75/15.77 => 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)) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_incr__mult__lemma,axiom,
% 15.75/15.77 ! [V_k_2,V_P_2,V_d_2] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d_2)
% 15.75/15.77 => ( ! [B_x] :
% 15.75/15.77 ( hBOOL(hAPP(V_P_2,B_x))
% 15.75/15.77 => hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B_x,V_d_2))) )
% 15.75/15.77 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)
% 15.75/15.77 => ! [B_x] :
% 15.75/15.77 ( hBOOL(hAPP(V_P_2,B_x))
% 15.75/15.77 => 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)))) ) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__monic,axiom,
% 15.75/15.77 ! [V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => ( ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.77 & V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 15.75/15.77 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_Opoly__gcd(T_a,V_x,V_y)),c_Polynomial_Odegree(T_a,c_Polynomial_Opoly__gcd(T_a,V_x,V_y))) = c_Groups_Ozero__class_Ozero(T_a) )
% 15.75/15.77 & ( ~ ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.77 & V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 15.75/15.77 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_Opoly__gcd(T_a,V_x,V_y)),c_Polynomial_Odegree(T_a,c_Polynomial_Opoly__gcd(T_a,V_x,V_y))) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__dvd2,axiom,
% 15.75/15.77 ! [V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),c_Polynomial_Opoly__gcd(T_a,V_x,V_y)),V_y)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__dvd1,axiom,
% 15.75/15.77 ! [V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),c_Polynomial_Opoly__gcd(T_a,V_x,V_y)),V_x)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__1__right,axiom,
% 15.75/15.77 ! [V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,V_x,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__1__left,axiom,
% 15.75/15.77 ! [V_y,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)),V_y) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__0__0,axiom,
% 15.75/15.77 ! [T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__zero__iff,axiom,
% 15.75/15.77 ! [V_y_2,V_xa_2,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => ( c_Polynomial_Opoly__gcd(T_a,V_xa_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.77 <=> ( V_xa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.77 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd_Oassoc,axiom,
% 15.75/15.77 ! [V_c,V_b,V_a,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,c_Polynomial_Opoly__gcd(T_a,V_a,V_b),V_c) = c_Polynomial_Opoly__gcd(T_a,V_a,c_Polynomial_Opoly__gcd(T_a,V_b,V_c)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd_Oleft__commute,axiom,
% 15.75/15.77 ! [V_c,V_a,V_b,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,V_b,c_Polynomial_Opoly__gcd(T_a,V_a,V_c)) = c_Polynomial_Opoly__gcd(T_a,V_a,c_Polynomial_Opoly__gcd(T_a,V_b,V_c)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd_Ocommute,axiom,
% 15.75/15.77 ! [V_b,V_a,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,V_a,V_b) = c_Polynomial_Opoly__gcd(T_a,V_b,V_a) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__minus__left,axiom,
% 15.75/15.77 ! [V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x),V_y) = c_Polynomial_Opoly__gcd(T_a,V_x,V_y) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__minus__right,axiom,
% 15.75/15.77 ! [V_y,V_x,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,V_x,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_y)) = c_Polynomial_Opoly__gcd(T_a,V_x,V_y) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__greatest,axiom,
% 15.75/15.77 ! [V_y,V_x,V_k,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_k),V_x))
% 15.75/15.77 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_k),V_y))
% 15.75/15.77 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_k),c_Polynomial_Opoly__gcd(T_a,V_x,V_y))) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_dvd__poly__gcd__iff,axiom,
% 15.75/15.77 ! [V_y_2,V_xa_2,V_k_2,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_k_2),c_Polynomial_Opoly__gcd(T_a,V_xa_2,V_y_2)))
% 15.75/15.77 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_k_2),V_xa_2))
% 15.75/15.77 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_k_2),V_y_2)) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_poly__gcd__unique,axiom,
% 15.75/15.77 ! [V_y,V_x,V_d,T_a] :
% 15.75/15.77 ( class_Fields_Ofield(T_a)
% 15.75/15.77 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_d),V_x))
% 15.75/15.77 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),V_d),V_y))
% 15.75/15.77 => ( ! [B_k] :
% 15.75/15.77 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),B_k),V_x))
% 15.75/15.77 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),B_k),V_y))
% 15.75/15.77 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a)),B_k),V_d)) ) )
% 15.75/15.77 => ( ( ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.77 & V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 15.75/15.77 => hAPP(c_Polynomial_Ocoeff(T_a,V_d),c_Polynomial_Odegree(T_a,V_d)) = c_Groups_Ozero__class_Ozero(T_a) )
% 15.75/15.77 & ( ~ ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 15.75/15.77 & V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 15.75/15.77 => hAPP(c_Polynomial_Ocoeff(T_a,V_d),c_Polynomial_Odegree(T_a,V_d)) = c_Groups_Oone__class_Oone(T_a) ) )
% 15.75/15.77 => c_Polynomial_Opoly__gcd(T_a,V_x,V_y) = V_d ) ) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_ex__least__nat__less,axiom,
% 15.75/15.77 ! [V_nb_2,V_P_2] :
% 15.75/15.77 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 15.75/15.77 => ( hBOOL(hAPP(V_P_2,V_nb_2))
% 15.75/15.77 => ? [B_k] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_k,V_nb_2)
% 15.75/15.77 & ! [B_i] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,B_k)
% 15.75/15.77 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 15.75/15.77 & hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_k,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 fof(fact_split__pos__lemma,axiom,
% 15.75/15.77 ! [V_nb_2,V_P_2,V_k_2] :
% 15.75/15.77 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)
% 15.75/15.77 => ( hBOOL(hAPP(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_nb_2,V_k_2)))
% 15.75/15.77 <=> ! [B_i,B_j] :
% 15.75/15.77 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B_j)
% 15.75/15.77 & c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_k_2)
% 15.75/15.77 & V_nb_2 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j) )
% 15.75/15.77 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 15.75/15.77
% 15.75/15.77 %----Arity declarations (210)
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 15.75/15.77 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 15.75/15.77 ! [T_2,T_1] :
% 15.75/15.77 ( class_Lattices_Oboolean__algebra(T_1)
% 15.75/15.77 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_fun__Orderings_Opreorder,axiom,
% 15.75/15.77 ! [T_2,T_1] :
% 15.75/15.77 ( class_Orderings_Opreorder(T_1)
% 15.75/15.77 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_fun__Orderings_Oorder,axiom,
% 15.75/15.77 ! [T_2,T_1] :
% 15.75/15.77 ( class_Orderings_Oorder(T_1)
% 15.75/15.77 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_fun__Orderings_Oord,axiom,
% 15.75/15.77 ! [T_2,T_1] :
% 15.75/15.77 ( class_Orderings_Oord(T_1)
% 15.75/15.77 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_fun__Groups_Ouminus,axiom,
% 15.75/15.77 ! [T_2,T_1] :
% 15.75/15.77 ( class_Groups_Ouminus(T_1)
% 15.75/15.77 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_fun__Groups_Ominus,axiom,
% 15.75/15.77 ! [T_2,T_1] :
% 15.75/15.77 ( class_Groups_Ominus(T_1)
% 15.75/15.77 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 15.75/15.77 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 15.75/15.77 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 15.75/15.77 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 15.75/15.77 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 15.75/15.77 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 15.75/15.77 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 15.75/15.77 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 15.75/15.77 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 15.75/15.77 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 15.75/15.77 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 15.75/15.77 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 15.75/15.77 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 15.75/15.77 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 15.75/15.77 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 15.75/15.77 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 15.75/15.77 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 15.75/15.77 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 15.75/15.77 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 15.75/15.77 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 15.75/15.77 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 15.75/15.77 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 15.75/15.77 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 15.75/15.77 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 15.75/15.77 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 15.75/15.77 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 15.75/15.77 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 15.75/15.77 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 15.75/15.77 class_Orderings_Opreorder(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 15.75/15.77 class_Orderings_Olinorder(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 15.75/15.77 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 15.75/15.77 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 15.75/15.77 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 15.75/15.77 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 15.75/15.77 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 15.75/15.77 class_Divides_Oring__div(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 15.75/15.77 class_Rings_Omult__zero(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 15.75/15.77 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 15.75/15.77 class_Orderings_Oorder(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 15.75/15.77 class_Int_Oring__char__0(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 15.75/15.77 class_Rings_Osemiring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 15.75/15.77 class_Orderings_Oord(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 15.75/15.77 class_Groups_Ouminus(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 15.75/15.77 class_Groups_Osgn__if(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 15.75/15.77 class_Rings_Oring__1(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 15.75/15.77 class_Groups_Ominus(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Power_Opower,axiom,
% 15.75/15.77 class_Power_Opower(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 15.75/15.77 class_Groups_Ozero(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oring,axiom,
% 15.75/15.77 class_Rings_Oring(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 15.75/15.77 class_Rings_Oidom(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Groups_Oone,axiom,
% 15.75/15.77 class_Groups_Oone(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 15.75/15.77 class_Rings_Odvd(tc_Int_Oint) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 15.75/15.77 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 15.75/15.77 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 15.75/15.77 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 15.75/15.77 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 15.75/15.77 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 15.75/15.77 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 15.75/15.77 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 15.75/15.77 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 15.75/15.77 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 15.75/15.77 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 15.75/15.77 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 15.75/15.77 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 15.75/15.77 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 15.75/15.77 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 15.75/15.77 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 15.75/15.77 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 15.75/15.77 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 15.75/15.77 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 15.75/15.77 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 15.75/15.77 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 15.75/15.77 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 15.75/15.77 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 15.75/15.77 class_Orderings_Oorder(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 15.75/15.77 class_Rings_Osemiring(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 15.75/15.77 class_Orderings_Oord(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 15.75/15.77 class_Groups_Ominus(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Power_Opower,axiom,
% 15.75/15.77 class_Power_Opower(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 15.75/15.77 class_Groups_Ozero(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 15.75/15.77 class_Groups_Oone(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 15.75/15.77 class_Rings_Odvd(tc_Nat_Onat) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 15.75/15.77 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 15.75/15.77 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 15.75/15.77 class_Orderings_Oorder(tc_HOL_Obool) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 15.75/15.77 class_Orderings_Oord(tc_HOL_Obool) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 15.75/15.77 class_Groups_Ouminus(tc_HOL_Obool) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 15.75/15.77 class_Groups_Ominus(tc_HOL_Obool) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 15.75/15.77 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 15.75/15.77 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 15.75/15.77 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 15.75/15.77 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
% 15.75/15.77 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 15.75/15.77 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
% 15.75/15.77 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,
% 15.75/15.77 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,
% 15.75/15.77 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,
% 15.75/15.77 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
% 15.75/15.77 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
% 15.75/15.77 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,
% 15.75/15.77 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
% 15.75/15.77 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
% 15.75/15.77 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
% 15.75/15.77 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
% 15.75/15.77 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,
% 15.75/15.77 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,
% 15.75/15.77 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
% 15.75/15.77 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
% 15.75/15.77 class_Rings_Omult__zero(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,
% 15.75/15.77 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 15.75/15.77 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
% 15.75/15.77 class_Rings_Osemiring(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,
% 15.75/15.77 class_Groups_Ouminus(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,
% 15.75/15.77 class_Rings_Oring__1(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom,
% 15.75/15.77 class_Groups_Ominus(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
% 15.75/15.77 class_Fields_Ofield(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Power_Opower,axiom,
% 15.75/15.77 class_Power_Opower(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
% 15.75/15.77 class_Groups_Ozero(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
% 15.75/15.77 class_Rings_Oring(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
% 15.75/15.77 class_Rings_Oidom(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
% 15.75/15.77 class_Groups_Oone(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Complex__Ocomplex__Rings_Odvd,axiom,
% 15.75/15.77 class_Rings_Odvd(tc_Complex_Ocomplex) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Oidom(T_1)
% 15.75/15.77 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 15.75/15.77 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Oidom(T_1)
% 15.75/15.77 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Oidom(T_1)
% 15.75/15.77 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 15.75/15.77 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__0(T_1)
% 15.75/15.77 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__1(T_1)
% 15.75/15.77 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Ocomm__monoid__add(T_1)
% 15.75/15.77 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Oidom(T_1)
% 15.75/15.77 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Ocomm__monoid__add(T_1)
% 15.75/15.77 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__1(T_1)
% 15.75/15.77 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__0(T_1)
% 15.75/15.77 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Fields_Ofield(T_1)
% 15.75/15.77 => class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__0(T_1)
% 15.75/15.77 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Oab__group__add(T_1)
% 15.75/15.77 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__1(T_1)
% 15.75/15.77 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__1(T_1)
% 15.75/15.77 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__ring__1(T_1)
% 15.75/15.77 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Ocomm__monoid__add(T_1)
% 15.75/15.77 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__0(T_1)
% 15.75/15.77 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Oab__group__add(T_1)
% 15.75/15.77 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Divides_Oring__div,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Fields_Ofield(T_1)
% 15.75/15.77 => class_Divides_Oring__div(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__0(T_1)
% 15.75/15.77 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__ring(T_1)
% 15.75/15.77 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__0(T_1)
% 15.75/15.77 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Oab__group__add(T_1)
% 15.75/15.77 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Olinordered__idom(T_1)
% 15.75/15.77 => class_Groups_Osgn__if(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__ring__1(T_1)
% 15.75/15.77 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Oab__group__add(T_1)
% 15.75/15.77 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Power_Opower,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__1(T_1)
% 15.75/15.77 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Groups_Ozero(T_1)
% 15.75/15.77 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__ring(T_1)
% 15.75/15.77 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Oidom(T_1)
% 15.75/15.77 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__1(T_1)
% 15.75/15.77 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 fof(arity_Polynomial__Opoly__Rings_Odvd,axiom,
% 15.75/15.77 ! [T_1] :
% 15.75/15.77 ( class_Rings_Ocomm__semiring__1(T_1)
% 15.75/15.77 => class_Rings_Odvd(tc_Polynomial_Opoly(T_1)) ) ).
% 15.75/15.77
% 15.75/15.77 %----Helper facts (2)
% 15.75/15.77 fof(help_c__fequal__1,axiom,
% 15.75/15.77 ! [V_y_2,V_x_2] :
% 15.75/15.77 ( ~ hBOOL(c_fequal(V_x_2,V_y_2))
% 15.75/15.77 | V_x_2 = V_y_2 ) ).
% 15.75/15.77
% 15.75/15.77 fof(help_c__fequal__2,axiom,
% 15.75/15.77 ! [V_y_2,V_x_2] :
% 15.75/15.77 ( V_x_2 != V_y_2
% 15.75/15.77 | hBOOL(c_fequal(V_x_2,V_y_2)) ) ).
% 15.75/15.77
% 15.75/15.77 %----Conjectures (2)
% 15.75/15.77 fof(conj_0,hypothesis,
% 15.75/15.77 ( ? [B_u] : v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),B_u)
% 15.75/15.77 => v_thesis____ ) ).
% 15.75/15.77
% 15.75/15.77 fof(conj_1,conjecture,
% 15.75/15.77 v_thesis____ ).
% 15.75/15.77
% 15.75/15.77 %------------------------------------------------------------------------------
% 15.75/15.77 %-------------------------------------------
% 15.75/15.77 % Proof found
% 15.75/15.77 % SZS status Theorem for theBenchmark
% 15.75/15.77 % SZS output start Proof
% 15.75/15.78 %ClaNum:1857(EqnAxiom:237)
% 15.75/15.78 %VarNum:10083(SingletonVarNum:3428)
% 15.75/15.78 %MaxLitNum:8
% 15.75/15.78 %MaxfuncDepth:8
% 15.75/15.78 %SharedTerms:253
% 15.75/15.78 %goalClause: 485
% 15.75/15.78 %singleGoalClaCount:1
% 15.75/15.78 [238]E(a1,a65)
% 15.75/15.78 [239]P1(a2)
% 15.75/15.78 [240]P1(a60)
% 15.75/15.78 [241]P1(a61)
% 15.75/15.78 [242]P2(a2)
% 15.75/15.78 [243]P2(a60)
% 15.75/15.78 [244]P2(a61)
% 15.75/15.78 [245]P32(a2)
% 15.75/15.78 [246]P32(a61)
% 15.75/15.78 [247]P48(a2)
% 15.75/15.78 [248]P48(a61)
% 15.75/15.78 [249]P46(a2)
% 15.75/15.78 [250]P46(a60)
% 15.75/15.78 [251]P46(a61)
% 15.75/15.78 [252]P3(a2)
% 15.75/15.78 [253]P3(a61)
% 15.75/15.78 [254]P49(a2)
% 15.75/15.78 [255]P49(a61)
% 15.75/15.78 [256]P50(a2)
% 15.75/15.78 [257]P50(a60)
% 15.75/15.78 [258]P50(a61)
% 15.75/15.78 [259]P51(a2)
% 15.75/15.78 [260]P51(a61)
% 15.75/15.78 [261]P52(a2)
% 15.75/15.78 [262]P52(a60)
% 15.75/15.78 [263]P52(a61)
% 15.75/15.78 [264]P68(a2)
% 15.75/15.78 [265]P68(a61)
% 15.75/15.78 [266]P53(a2)
% 15.75/15.78 [267]P53(a60)
% 15.75/15.78 [268]P53(a61)
% 15.75/15.78 [269]P69(a2)
% 15.75/15.78 [270]P69(a60)
% 15.75/15.78 [271]P69(a61)
% 15.75/15.78 [272]P67(a2)
% 15.75/15.78 [273]P67(a61)
% 15.75/15.78 [274]P33(a2)
% 15.75/15.78 [275]P33(a60)
% 15.75/15.78 [276]P33(a61)
% 15.75/15.78 [277]P70(a2)
% 15.75/15.78 [278]P70(a60)
% 15.75/15.78 [279]P70(a61)
% 15.75/15.78 [280]P12(a2)
% 15.75/15.78 [281]P12(a60)
% 15.75/15.78 [282]P12(a61)
% 15.75/15.78 [283]P13(a2)
% 15.75/15.78 [284]P13(a60)
% 15.75/15.78 [285]P13(a61)
% 15.75/15.78 [286]P34(a2)
% 15.75/15.78 [287]P34(a61)
% 15.75/15.78 [288]P41(a2)
% 15.75/15.78 [289]P41(a61)
% 15.75/15.78 [290]P54(a61)
% 15.75/15.78 [291]P56(a60)
% 15.75/15.78 [292]P56(a61)
% 15.75/15.78 [293]P59(a60)
% 15.75/15.78 [294]P59(a61)
% 15.75/15.78 [295]P60(a60)
% 15.75/15.78 [296]P60(a61)
% 15.75/15.78 [297]P57(a61)
% 15.75/15.78 [298]P55(a60)
% 15.75/15.78 [299]P55(a61)
% 15.75/15.78 [300]P58(a61)
% 15.75/15.78 [301]P63(a60)
% 15.75/15.78 [302]P63(a61)
% 15.75/15.78 [303]P64(a61)
% 15.75/15.78 [304]P66(a60)
% 15.75/15.78 [305]P66(a61)
% 15.75/15.78 [306]P65(a60)
% 15.75/15.78 [307]P65(a61)
% 15.75/15.78 [308]P24(a61)
% 15.75/15.78 [309]P20(a61)
% 15.75/15.78 [310]P14(a2)
% 15.75/15.78 [311]P14(a60)
% 15.75/15.78 [312]P14(a61)
% 15.75/15.78 [313]P25(a2)
% 15.75/15.78 [314]P25(a60)
% 15.75/15.78 [315]P25(a61)
% 15.75/15.78 [316]P21(a2)
% 15.75/15.78 [317]P21(a61)
% 15.75/15.78 [318]P35(a60)
% 15.75/15.78 [319]P35(a61)
% 15.75/15.78 [320]P35(a62)
% 15.75/15.78 [321]P36(a60)
% 15.75/15.78 [322]P36(a61)
% 15.75/15.78 [323]P39(a60)
% 15.75/15.78 [324]P39(a61)
% 15.75/15.78 [325]P39(a62)
% 15.75/15.78 [326]P40(a60)
% 15.75/15.78 [327]P40(a61)
% 15.75/15.78 [328]P40(a62)
% 15.75/15.78 [329]P42(a2)
% 15.75/15.78 [330]P37(a62)
% 15.75/15.78 [331]P26(a2)
% 15.75/15.78 [332]P26(a61)
% 15.75/15.78 [333]P26(a62)
% 15.75/15.78 [334]P22(a2)
% 15.75/15.78 [335]P22(a60)
% 15.75/15.78 [336]P22(a61)
% 15.75/15.78 [337]P22(a62)
% 15.75/15.78 [338]P16(a2)
% 15.75/15.78 [339]P16(a60)
% 15.75/15.78 [340]P16(a61)
% 15.75/15.78 [341]P27(a60)
% 15.75/15.78 [342]P27(a61)
% 15.75/15.78 [343]P29(a60)
% 15.75/15.78 [344]P29(a61)
% 15.75/15.78 [345]P17(a2)
% 15.75/15.78 [346]P17(a60)
% 15.75/15.78 [347]P17(a61)
% 15.75/15.78 [348]P18(a2)
% 15.75/15.78 [349]P18(a60)
% 15.75/15.78 [350]P18(a61)
% 15.75/15.78 [351]P15(a2)
% 15.75/15.78 [352]P15(a60)
% 15.75/15.78 [353]P15(a61)
% 15.75/15.78 [354]P28(a60)
% 15.75/15.78 [355]P28(a61)
% 15.75/15.78 [356]P23(a2)
% 15.75/15.78 [357]P23(a60)
% 15.75/15.78 [358]P23(a61)
% 15.75/15.78 [359]P72(a2)
% 15.75/15.78 [360]P72(a60)
% 15.75/15.78 [361]P72(a61)
% 15.75/15.78 [362]P71(a2)
% 15.75/15.78 [363]P71(a60)
% 15.75/15.78 [364]P71(a61)
% 15.75/15.78 [365]P47(a2)
% 15.75/15.78 [366]P47(a60)
% 15.75/15.78 [367]P47(a61)
% 15.75/15.78 [368]P30(a60)
% 15.75/15.78 [369]P30(a61)
% 15.75/15.78 [370]P61(a61)
% 15.75/15.78 [371]P62(a61)
% 15.75/15.78 [372]P4(a2)
% 15.75/15.78 [373]P43(a2)
% 15.75/15.78 [374]P44(a2)
% 15.75/15.78 [375]P31(a61)
% 15.75/15.78 [376]P45(a2)
% 15.75/15.78 [377]P5(a60)
% 15.75/15.78 [378]P5(a61)
% 15.75/15.78 [379]P6(a61)
% 15.75/15.78 [380]P19(a2)
% 15.75/15.78 [381]P19(a60)
% 15.75/15.78 [382]P19(a61)
% 15.75/15.78 [485]~P75(a500)
% 15.75/15.78 [383]E(f3(a2,a66),a67)
% 15.75/15.78 [384]E(f3(a2,a69),a68)
% 15.75/15.78 [407]P8(a61,f4(a61),f7(a61))
% 15.75/15.78 [409]P7(a61,f4(a61),f7(a61))
% 15.75/15.78 [411]P8(a60,f3(a2,a70),a67)
% 15.75/15.78 [486]~E(f4(a60),a67)
% 15.75/15.78 [487]~E(f4(a60),a68)
% 15.75/15.78 [488]~E(f7(a61),f4(a61))
% 15.75/15.78 [492]~E(f3(a2,a70),f4(a60))
% 15.75/15.78 [493]~E(f18(a2,a1,a66),f4(a60))
% 15.75/15.78 [385]E(f5(a61,f4(a61)),f4(a61))
% 15.75/15.78 [386]E(f22(f17(a2,a70),a65),f4(a2))
% 15.75/15.78 [387]E(f22(f17(a2,a66),a1),f4(a2))
% 15.75/15.78 [489]~E(f4(f63(a2)),a72)
% 15.75/15.78 [490]~E(f4(f63(a2)),a70)
% 15.75/15.78 [491]~E(f4(f63(a2)),a66)
% 15.75/15.78 [482]E(f22(f22(f6(f63(a2)),f22(f22(f28(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),f18(a2,a1,a66))),a70),a66)
% 15.75/15.78 [483]E(f22(f22(f6(f63(a2)),f22(f22(f28(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),f18(a2,a1,a66))),a53),a66)
% 15.75/15.78 [484]P73(f22(f22(f23(f63(a2)),f22(f22(f28(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),f18(a2,a1,a66))),a66))
% 15.75/15.78 [511]~P73(f22(f22(f23(f63(a2)),f22(f22(f28(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),f12(a60,f18(a2,a1,a66),f7(a60)))),a66))
% 15.75/15.78 [476]E(f22(f22(f6(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),a71),a72)
% 15.75/15.78 [477]E(f22(f22(f6(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),a29),a72)
% 15.75/15.78 [480]P73(f22(f22(f23(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),a72))
% 15.75/15.78 [481]P73(f22(f22(f23(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),a70))
% 15.75/15.78 [392]P7(a60,x3921,x3921)
% 15.75/15.78 [393]P7(a61,x3931,x3931)
% 15.75/15.78 [495]~P8(a60,x4951,x4951)
% 15.75/15.78 [397]E(f8(a60,x3971,x3971),f4(a60))
% 15.75/15.78 [399]P7(a60,f4(a60),x3991)
% 15.75/15.78 [426]P7(a60,f18(a2,x4261,a66),a67)
% 15.75/15.78 [498]~P8(a60,x4981,f4(a60))
% 15.75/15.78 [388]E(f5(a61,f5(a61,x3881)),x3881)
% 15.75/15.78 [389]E(f22(f22(f6(a60),x3891),f7(a60)),x3891)
% 15.75/15.78 [390]E(f22(f22(f6(a61),x3901),f7(a61)),x3901)
% 15.75/15.78 [391]E(f22(f22(f6(a60),x3911),f4(a60)),f4(a60))
% 15.75/15.78 [400]E(f8(a60,x4001,f4(a60)),x4001)
% 15.75/15.78 [401]E(f12(a60,x4011,f4(a60)),x4011)
% 15.75/15.78 [402]E(f12(a61,x4021,f4(a61)),x4021)
% 15.75/15.78 [403]E(f12(a60,f4(a60),x4031),x4031)
% 15.75/15.78 [404]E(f12(a61,f4(a61),x4041),x4041)
% 15.75/15.78 [405]E(f8(a60,f4(a60),x4051),f4(a60))
% 15.75/15.78 [406]E(f9(a61,f4(a61),x4061),f4(a61))
% 15.75/15.78 [412]E(f12(a61,f5(a61,x4121),x4121),f4(a61))
% 15.75/15.78 [416]P73(f22(f22(f23(a60),x4161),f4(a60)))
% 15.75/15.78 [434]P8(a60,x4341,f12(a60,x4341,f7(a60)))
% 15.75/15.78 [435]P8(a60,f4(a60),f12(a60,x4351,f7(a60)))
% 15.75/15.78 [500]~E(f12(a60,x5001,f7(a60)),x5001)
% 15.75/15.78 [506]~E(f12(a60,x5061,f7(a60)),f4(a60))
% 15.75/15.78 [509]~P7(a60,f12(a60,x5091,f7(a60)),x5091)
% 15.75/15.78 [394]E(f22(f22(f6(a60),f7(a60)),x3941),x3941)
% 15.75/15.78 [395]E(f22(f22(f6(a61),f7(a61)),x3951),x3951)
% 15.75/15.78 [396]E(f22(f22(f6(a60),f4(a60)),x3961),f4(a60))
% 15.75/15.78 [415]P73(f22(f22(f23(a60),x4151),x4151))
% 15.75/15.78 [419]P73(f22(f22(f23(a60),f7(a60)),x4191))
% 15.75/15.78 [423]P7(a60,x4231,f22(f22(f6(a60),x4231),x4231))
% 15.75/15.78 [437]E(f9(a60,x4371,f12(a60,f4(a60),f7(a60))),x4371)
% 15.75/15.78 [510]~E(f12(a61,f12(a61,f7(a61),x5101),x5101),f4(a61))
% 15.75/15.78 [454]P7(a60,x4541,f22(f22(f6(a60),x4541),f22(f22(f6(a60),x4541),x4541)))
% 15.75/15.78 [458]E(f22(f22(f28(a60),f12(a60,f4(a60),f7(a60))),x4581),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [474]P73(f22(f22(f23(a60),f12(a60,f4(a60),f7(a60))),x4741))
% 15.75/15.78 [417]E(f12(a60,x4171,x4172),f12(a60,x4172,x4171))
% 15.75/15.78 [418]E(f12(a61,x4181,x4182),f12(a61,x4182,x4181))
% 15.75/15.78 [427]P7(a60,x4271,f12(a60,x4272,x4271))
% 15.75/15.78 [428]P7(a60,x4281,f12(a60,x4281,x4282))
% 15.75/15.78 [429]P7(a60,f8(a60,x4291,x4292),x4291)
% 15.75/15.78 [430]P7(a60,f9(a60,x4301,x4302),x4301)
% 15.75/15.78 [507]~P8(a60,f12(a60,x5071,x5072),x5072)
% 15.75/15.78 [508]~P8(a60,f12(a60,x5081,x5082),x5081)
% 15.75/15.78 [422]E(f12(a61,x4221,f5(a61,x4222)),f8(a61,x4221,x4222))
% 15.75/15.78 [424]E(f9(a61,f5(a61,x4241),x4242),f9(a61,x4241,f5(a61,x4242)))
% 15.75/15.78 [425]E(f9(a61,f5(a61,x4251),f5(a61,x4252)),f9(a61,x4251,x4252))
% 15.75/15.78 [431]E(f8(a60,f12(a60,x4311,x4312),x4312),x4311)
% 15.75/15.78 [432]E(f8(a60,f12(a60,x4321,x4322),x4321),x4322)
% 15.75/15.78 [433]E(f8(a60,x4331,f12(a60,x4331,x4332)),f4(a60))
% 15.75/15.78 [439]E(f12(a61,f5(a61,x4391),f5(a61,x4392)),f5(a61,f12(a61,x4391,x4392)))
% 15.75/15.78 [441]P8(a60,f8(a60,x4411,x4412),f12(a60,x4411,f7(a60)))
% 15.75/15.78 [462]P8(a60,x4621,f12(a60,f12(a60,x4622,x4621),f7(a60)))
% 15.75/15.78 [463]P8(a60,x4631,f12(a60,f12(a60,x4631,x4632),f7(a60)))
% 15.75/15.78 [413]E(f22(f22(f6(a60),x4131),x4132),f22(f22(f6(a60),x4132),x4131))
% 15.75/15.78 [414]E(f22(f22(f6(a61),x4141),x4142),f22(f22(f6(a61),x4142),x4141))
% 15.75/15.78 [453]E(f12(a60,f12(a60,x4531,f7(a60)),x4532),f12(a60,f12(a60,x4531,x4532),f7(a60)))
% 15.75/15.78 [455]E(f8(a60,f8(a60,x4551,f7(a60)),x4552),f8(a60,x4551,f12(a60,x4552,f7(a60))))
% 15.75/15.78 [456]E(f12(a60,f12(a60,x4561,f7(a60)),x4562),f12(a60,x4561,f12(a60,x4562,f7(a60))))
% 15.75/15.78 [438]E(f22(f22(f6(a61),f5(a61,x4381)),x4382),f5(a61,f22(f22(f6(a61),x4381),x4382)))
% 15.75/15.78 [442]E(f22(f22(f6(a60),x4421),f12(a60,x4422,f7(a60))),f12(a60,x4421,f22(f22(f6(a60),x4421),x4422)))
% 15.75/15.78 [468]E(f22(f22(f6(a60),f12(a60,x4681,f7(a60))),x4682),f12(a60,x4682,f22(f22(f6(a60),x4681),x4682)))
% 15.75/15.78 [444]E(f12(a60,x4441,f12(a60,x4442,x4443)),f12(a60,x4442,f12(a60,x4441,x4443)))
% 15.75/15.78 [445]E(f12(a61,x4451,f12(a61,x4452,x4453)),f12(a61,x4452,f12(a61,x4451,x4453)))
% 15.75/15.78 [446]E(f8(a60,f8(a60,x4461,x4462),x4463),f8(a60,x4461,f12(a60,x4462,x4463)))
% 15.75/15.78 [447]E(f12(a60,f12(a60,x4471,x4472),x4473),f12(a60,x4471,f12(a60,x4472,x4473)))
% 15.75/15.78 [448]E(f12(a61,f12(a61,x4481,x4482),x4483),f12(a61,x4481,f12(a61,x4482,x4483)))
% 15.75/15.78 [449]E(f8(a60,f8(a60,x4491,x4492),x4493),f8(a60,f8(a60,x4491,x4493),x4492))
% 15.75/15.78 [450]E(f8(a60,f12(a60,x4501,x4502),f12(a60,x4503,x4502)),f8(a60,x4501,x4503))
% 15.75/15.78 [451]E(f8(a60,f12(a60,x4511,x4512),f12(a60,x4511,x4513)),f8(a60,x4512,x4513))
% 15.75/15.78 [475]E(f8(a60,f8(a60,f12(a60,x4751,f7(a60)),x4752),f12(a60,x4753,f7(a60))),f8(a60,f8(a60,x4751,x4752),x4753))
% 15.75/15.78 [443]E(f9(a60,x4431,f22(f22(f6(a60),x4432),x4433)),f9(a60,f9(a60,x4431,x4432),x4433))
% 15.75/15.78 [464]E(f8(a60,f22(f22(f6(a60),x4641),x4642),f22(f22(f6(a60),x4641),x4643)),f22(f22(f6(a60),x4641),f8(a60,x4642,x4643)))
% 15.75/15.78 [465]E(f12(a60,f22(f22(f6(a60),x4651),x4652),f22(f22(f6(a60),x4651),x4653)),f22(f22(f6(a60),x4651),f12(a60,x4652,x4653)))
% 15.75/15.78 [466]E(f8(a61,f22(f22(f6(a61),x4661),x4662),f22(f22(f6(a61),x4661),x4663)),f22(f22(f6(a61),x4661),f8(a61,x4662,x4663)))
% 15.75/15.78 [467]E(f12(a61,f22(f22(f6(a61),x4671),x4672),f22(f22(f6(a61),x4671),x4673)),f22(f22(f6(a61),x4671),f12(a61,x4672,x4673)))
% 15.75/15.78 [469]E(f22(f22(f6(a61),f22(f22(f28(a61),x4691),x4692)),f22(f22(f28(a61),x4691),x4693)),f22(f22(f28(a61),x4691),f12(a60,x4692,x4693)))
% 15.75/15.78 [470]E(f8(a60,f22(f22(f6(a60),x4701),x4702),f22(f22(f6(a60),x4703),x4702)),f22(f22(f6(a60),f8(a60,x4701,x4703)),x4702))
% 15.75/15.78 [471]E(f12(a60,f22(f22(f6(a60),x4711),x4712),f22(f22(f6(a60),x4713),x4712)),f22(f22(f6(a60),f12(a60,x4711,x4713)),x4712))
% 15.75/15.78 [472]E(f8(a61,f22(f22(f6(a61),x4721),x4722),f22(f22(f6(a61),x4723),x4722)),f22(f22(f6(a61),f8(a61,x4721,x4723)),x4722))
% 15.75/15.78 [473]E(f12(a61,f22(f22(f6(a61),x4731),x4732),f22(f22(f6(a61),x4733),x4732)),f22(f22(f6(a61),f12(a61,x4731,x4733)),x4732))
% 15.75/15.78 [459]E(f22(f22(f6(a60),f22(f22(f6(a60),x4591),x4592)),x4593),f22(f22(f6(a60),x4591),f22(f22(f6(a60),x4592),x4593)))
% 15.75/15.78 [460]E(f22(f22(f6(a61),f22(f22(f6(a61),x4601),x4602)),x4603),f22(f22(f6(a61),x4601),f22(f22(f6(a61),x4602),x4603)))
% 15.75/15.78 [461]E(f22(f22(f28(a61),f22(f22(f28(a61),x4611),x4612)),x4613),f22(f22(f28(a61),x4611),f22(f22(f6(a60),x4612),x4613)))
% 15.75/15.78 [440]E(f22(f22(f24(x4401,x4402,x4403),x4404),f4(a60)),x4402)
% 15.75/15.78 [479]E(f12(a60,f22(f22(f6(a60),x4791),x4792),f12(a60,f22(f22(f6(a60),x4793),x4792),x4794)),f12(a60,f22(f22(f6(a60),f12(a60,x4791,x4793)),x4792),x4794))
% 15.75/15.78 [478]E(f22(f22(f24(x4781,x4782,x4783),x4784),f12(a60,x4785,f7(a60))),f22(f22(x4783,x4784),f22(f22(f24(x4781,x4782,x4783),x4784),x4785)))
% 15.75/15.78 [512]~P1(x5121)+P1(f63(x5121))
% 15.75/15.78 [513]~P2(x5131)+P2(f63(x5131))
% 15.75/15.78 [514]~P32(x5141)+P32(f63(x5141))
% 15.75/15.78 [515]~P51(x5151)+P48(f63(x5151))
% 15.75/15.78 [516]~P46(x5161)+P46(f63(x5161))
% 15.75/15.78 [517]~P3(x5171)+P3(f63(x5171))
% 15.75/15.78 [518]~P41(x5181)+P49(f63(x5181))
% 15.75/15.78 [519]~P1(x5191)+P50(f63(x5191))
% 15.75/15.78 [520]~P51(x5201)+P51(f63(x5201))
% 15.75/15.78 [521]~P51(x5211)+P52(f63(x5211))
% 15.75/15.78 [522]~P51(x5221)+P68(f63(x5221))
% 15.75/15.78 [523]~P46(x5231)+P53(f63(x5231))
% 15.75/15.78 [524]~P1(x5241)+P69(f63(x5241))
% 15.75/15.78 [525]~P32(x5251)+P67(f63(x5251))
% 15.75/15.78 [526]~P1(x5261)+P33(f63(x5261))
% 15.75/15.78 [527]~P46(x5271)+P70(f63(x5271))
% 15.75/15.78 [528]~P1(x5281)+P12(f63(x5281))
% 15.75/15.78 [529]~P1(x5291)+P13(f63(x5291))
% 15.75/15.78 [530]~P54(x5301)+P34(f63(x5301))
% 15.75/15.78 [531]~P41(x5311)+P41(f63(x5311))
% 15.75/15.78 [532]~P54(x5321)+P54(f63(x5321))
% 15.75/15.78 [533]~P54(x5331)+P56(f63(x5331))
% 15.75/15.78 [534]~P54(x5341)+P59(f63(x5341))
% 15.75/15.78 [535]~P54(x5351)+P60(f63(x5351))
% 15.75/15.78 [536]~P54(x5361)+P57(f63(x5361))
% 15.75/15.78 [537]~P54(x5371)+P55(f63(x5371))
% 15.75/15.78 [538]~P54(x5381)+P58(f63(x5381))
% 15.75/15.78 [539]~P54(x5391)+P63(f63(x5391))
% 15.75/15.78 [540]~P54(x5401)+P64(f63(x5401))
% 15.75/15.78 [541]~P54(x5411)+P66(f63(x5411))
% 15.75/15.78 [542]~P54(x5421)+P65(f63(x5421))
% 15.75/15.78 [543]~P54(x5431)+P24(f63(x5431))
% 15.75/15.78 [544]~P54(x5441)+P20(f63(x5441))
% 15.75/15.78 [545]~P46(x5451)+P14(f63(x5451))
% 15.75/15.78 [546]~P1(x5461)+P25(f63(x5461))
% 15.75/15.78 [547]~P3(x5471)+P21(f63(x5471))
% 15.75/15.78 [548]~P54(x5481)+P35(f63(x5481))
% 15.75/15.78 [549]~P54(x5491)+P36(f63(x5491))
% 15.75/15.78 [550]~P54(x5501)+P39(f63(x5501))
% 15.75/15.78 [551]~P54(x5511)+P40(f63(x5511))
% 15.75/15.78 [552]~P3(x5521)+P26(f63(x5521))
% 15.75/15.78 [553]~P3(x5531)+P22(f63(x5531))
% 15.75/15.78 [554]~P16(x5541)+P16(f63(x5541))
% 15.75/15.78 [555]~P54(x5551)+P27(f63(x5551))
% 15.75/15.78 [556]~P54(x5561)+P29(f63(x5561))
% 15.75/15.78 [557]~P19(x5571)+P17(f63(x5571))
% 15.75/15.78 [558]~P19(x5581)+P18(f63(x5581))
% 15.75/15.78 [559]~P16(x5591)+P15(f63(x5591))
% 15.75/15.78 [560]~P54(x5601)+P28(f63(x5601))
% 15.75/15.78 [561]~P16(x5611)+P23(f63(x5611))
% 15.75/15.78 [562]~P51(x5621)+P72(f63(x5621))
% 15.75/15.78 [563]~P46(x5631)+P71(f63(x5631))
% 15.75/15.78 [564]~P46(x5641)+P47(f63(x5641))
% 15.75/15.78 [565]~P54(x5651)+P30(f63(x5651))
% 15.75/15.78 [566]~P54(x5661)+P61(f63(x5661))
% 15.75/15.78 [567]~P54(x5671)+P62(f63(x5671))
% 15.75/15.78 [568]~P54(x5681)+P31(f63(x5681))
% 15.75/15.78 [569]~P4(x5691)+P5(f63(x5691))
% 15.75/15.78 [570]~P4(x5701)+P6(f63(x5701))
% 15.75/15.78 [571]~P19(x5711)+P19(f63(x5711))
% 15.75/15.78 [573]~P69(x5731)+~E(f7(x5731),f4(x5731))
% 15.75/15.78 [574]~E(x5741,f4(a61))+E(f13(a61,x5741),f4(a61))
% 15.75/15.78 [624]E(x6241,f4(a61))+E(f9(a61,x6241,x6241),f7(a61))
% 15.75/15.78 [627]E(x6271,f4(a60))+P8(a60,f4(a60),x6271)
% 15.75/15.78 [679]~P56(x6791)+P8(x6791,f4(x6791),f7(x6791))
% 15.75/15.78 [680]~P56(x6801)+P7(x6801,f4(x6801),f7(x6801))
% 15.75/15.78 [729]E(x7291,f4(a60))+~P7(a60,x7291,f4(a60))
% 15.75/15.78 [782]~P56(x7821)+~P8(x7821,f7(x7821),f4(x7821))
% 15.75/15.78 [783]~P56(x7831)+~P7(x7831,f7(x7831),f4(x7831))
% 15.75/15.78 [853]~P7(a61,f7(a61),x8531)+P8(a61,f4(a61),x8531)
% 15.75/15.78 [854]~P8(a61,f4(a61),x8541)+P7(a61,f7(a61),x8541)
% 15.75/15.78 [577]~P21(x5771)+E(f5(x5771,f4(x5771)),f4(x5771))
% 15.75/15.78 [578]~P43(x5781)+E(f13(x5781,f4(x5781)),f4(x5781))
% 15.75/15.78 [579]~P31(x5791)+E(f13(x5791,f4(x5791)),f4(x5791))
% 15.75/15.78 [580]~P44(x5801)+E(f13(x5801,f7(x5801)),f7(x5801))
% 15.75/15.78 [623]~P54(x6231)+~P9(x6231,f4(f63(x6231)))
% 15.75/15.78 [688]~P33(x6881)+E(f24(x6881,f7(x6881),f6(x6881)),f28(x6881))
% 15.75/15.78 [732]~E(f22(f17(a2,a66),x7321),f4(a2))+E(f22(f17(a2,a72),x7321),f4(a2))
% 15.75/15.78 [733]~E(f22(f17(a2,a69),x7331),f4(a2))+E(f22(f17(a2,a73),x7331),f4(a2))
% 15.75/15.78 [878]~P8(a60,f4(a60),x8781)+E(f12(a60,f54(x8781),f7(a60)),x8781)
% 15.75/15.78 [885]E(x8851,f7(a60))+~P73(f22(f22(f23(a60),x8851),f7(a60)))
% 15.75/15.78 [964]~P56(x9641)+P8(x9641,f4(x9641),f12(x9641,f7(x9641),f7(x9641)))
% 15.75/15.78 [1102]~P7(a61,f4(a61),x11021)+P8(a61,f4(a61),f12(a61,f7(a61),x11021))
% 15.75/15.78 [1104]~P8(a60,f4(a60),x11041)+E(f12(a60,f8(a60,x11041,f7(a60)),f7(a60)),x11041)
% 15.75/15.78 [1118]E(x11181,f4(a60))+~P8(a60,x11181,f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1476]~P8(a60,f4(a60),x14761)+E(f12(a60,f8(a60,x14761,f12(a60,f4(a60),f7(a60))),f7(a60)),x14761)
% 15.75/15.78 [601]~P2(x6011)+E(f3(x6011,f4(f63(x6011))),f4(a60))
% 15.75/15.78 [602]~P1(x6021)+E(f3(x6021,f7(f63(x6021))),f4(a60))
% 15.75/15.78 [619]~P3(x6191)+E(f5(f63(x6191),f4(f63(x6191))),f4(f63(x6191)))
% 15.75/15.78 [736]~P1(x7361)+E(f20(x7361,f7(x7361),f4(f63(x7361))),f7(f63(x7361)))
% 15.75/15.78 [737]~P2(x7371)+E(f20(x7371,f4(x7371),f4(f63(x7371))),f4(f63(x7371)))
% 15.75/15.78 [774]~P4(x7741)+E(f25(x7741,f4(f63(x7741)),f4(f63(x7741))),f4(f63(x7741)))
% 15.75/15.78 [1471]~P8(a61,x14711,f4(a61))+P8(a61,f12(a61,f12(a61,f7(a61),x14711),x14711),f4(a61))
% 15.75/15.78 [1580]E(x15801,f12(a60,f4(a60),f7(a60)))+~P73(f22(f22(f23(a60),x15801),f12(a60,f4(a60),f7(a60))))
% 15.75/15.78 [1633]P8(a61,x16331,f4(a61))+~P8(a61,f12(a61,f12(a61,f7(a61),x16331),x16331),f4(a61))
% 15.75/15.78 [1777]P75(a500)+~E(f22(f22(f6(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),x17771),a70)
% 15.75/15.78 [622]~E(x6221,x6222)+P7(a60,x6221,x6222)
% 15.75/15.78 [635]~P35(x6351)+P7(x6351,x6352,x6352)
% 15.75/15.78 [708]~E(x7081,x7082)+~P8(a60,x7081,x7082)
% 15.75/15.78 [709]~E(x7091,x7092)+~P8(a61,x7091,x7092)
% 15.75/15.78 [730]~P8(x7301,x7302,x7302)+~P35(x7301)
% 15.75/15.78 [769]P7(a60,x7692,x7691)+P7(a60,x7691,x7692)
% 15.75/15.78 [770]P7(a61,x7702,x7701)+P7(a61,x7701,x7702)
% 15.75/15.78 [832]~P8(a60,x8321,x8322)+P7(a60,x8321,x8322)
% 15.75/15.78 [833]~P8(a61,x8331,x8332)+P7(a61,x8331,x8332)
% 15.75/15.78 [586]~E(x5861,x5862)+P73(f30(x5861,x5862))
% 15.75/15.78 [589]~P35(x5892)+P35(f64(x5891,x5892))
% 15.75/15.78 [590]~P39(x5902)+P39(f64(x5901,x5902))
% 15.75/15.78 [591]~P40(x5912)+P40(f64(x5911,x5912))
% 15.75/15.78 [592]~P37(x5922)+P37(f64(x5921,x5922))
% 15.75/15.78 [593]~P26(x5932)+P26(f64(x5931,x5932))
% 15.75/15.78 [594]~P22(x5942)+P22(f64(x5941,x5942))
% 15.75/15.78 [610]E(x6101,x6102)+~P73(f30(x6101,x6102))
% 15.75/15.78 [625]E(f12(a60,x6251,x6252),x6252)+~E(x6251,f4(a60))
% 15.75/15.78 [634]~E(x6342,f4(a61))+E(f9(a61,x6341,x6342),f4(a61))
% 15.75/15.78 [643]~P21(x6431)+E(f8(x6431,x6432,x6432),f4(x6431))
% 15.75/15.78 [666]P7(a61,x6662,x6661)+E(f15(x6661,x6662),f4(a61))
% 15.75/15.78 [714]~E(f12(a60,x7142,x7141),x7142)+E(x7141,f4(a60))
% 15.75/15.78 [718]~P8(a60,x7182,x7181)+~E(x7181,f4(a60))
% 15.75/15.78 [723]E(x7231,f4(a60))+~E(f12(a60,x7232,x7231),f4(a60))
% 15.75/15.78 [724]E(x7241,f4(a60))+~E(f12(a60,x7241,x7242),f4(a60))
% 15.75/15.78 [842]~P7(a60,x8421,x8422)+E(f8(a60,x8421,x8422),f4(a60))
% 15.75/15.78 [843]~P8(a60,x8431,x8432)+E(f9(a60,x8431,x8432),f4(a60))
% 15.75/15.78 [848]P7(a60,x8481,x8482)+~E(f8(a60,x8481,x8482),f4(a60))
% 15.75/15.78 [873]~P7(a61,x8732,x8731)+E(f8(a61,x8731,x8732),f15(x8731,x8732))
% 15.75/15.78 [883]E(f9(a61,x8831,x8832),f31(x8831,x8832))+~P7(a61,f4(a61),x8832)
% 15.75/15.78 [1075]~P8(a60,x10752,x10751)+P8(a60,f4(a60),f8(a60,x10751,x10752))
% 15.75/15.78 [1076]~P8(a61,x10761,x10762)+P8(a61,f8(a61,x10761,x10762),f4(a61))
% 15.75/15.78 [1175]P8(a60,x11751,x11752)+~P8(a60,f4(a60),f8(a60,x11752,x11751))
% 15.75/15.78 [1176]P8(a61,x11761,x11762)+~P8(a61,f8(a61,x11761,x11762),f4(a61))
% 15.75/15.78 [608]~P21(x6081)+E(f5(x6081,f5(x6081,x6082)),x6082)
% 15.75/15.78 [609]~P37(x6091)+E(f5(x6091,f5(x6091,x6092)),x6092)
% 15.75/15.78 [633]~P54(x6331)+E(f13(x6331,f13(x6331,x6332)),f13(x6331,x6332))
% 15.75/15.78 [637]~P1(x6371)+E(f22(f22(f28(x6371),x6372),f7(a60)),x6372)
% 15.75/15.78 [638]~P12(x6381)+E(f22(f22(f28(x6381),x6382),f7(a60)),x6382)
% 15.75/15.78 [644]~P1(x6441)+E(f22(f22(f6(x6441),x6442),f7(x6441)),x6442)
% 15.75/15.78 [645]~P12(x6451)+E(f22(f22(f6(x6451),x6452),f7(x6451)),x6452)
% 15.75/15.78 [646]~P13(x6461)+E(f22(f22(f6(x6461),x6462),f7(x6461)),x6462)
% 15.75/15.78 [647]~P1(x6471)+E(f22(f22(f28(x6471),x6472),f4(a60)),f7(x6471))
% 15.75/15.78 [648]~P33(x6481)+E(f22(f22(f28(x6481),x6482),f4(a60)),f7(x6481))
% 15.75/15.78 [650]~P21(x6501)+E(f8(x6501,x6502,f4(x6501)),x6502)
% 15.75/15.78 [651]~P1(x6511)+E(f12(x6511,x6512,f4(x6511)),x6512)
% 15.75/15.78 [652]~P16(x6521)+E(f12(x6521,x6522,f4(x6521)),x6522)
% 15.75/15.78 [653]~P23(x6531)+E(f12(x6531,x6532,f4(x6531)),x6532)
% 15.75/15.78 [654]~P5(x6541)+E(f9(x6541,x6542,f7(x6541)),x6542)
% 15.75/15.78 [655]~P1(x6551)+E(f12(x6551,f4(x6551),x6552),x6552)
% 15.75/15.78 [656]~P16(x6561)+E(f12(x6561,f4(x6561),x6562),x6562)
% 15.75/15.78 [657]~P23(x6571)+E(f12(x6571,f4(x6571),x6572),x6572)
% 15.75/15.78 [662]~P1(x6621)+E(f22(f22(f6(x6621),x6622),f4(x6621)),f4(x6621))
% 15.75/15.78 [663]~P53(x6631)+E(f22(f22(f6(x6631),x6632),f4(x6631)),f4(x6631))
% 15.75/15.78 [665]~P42(x6651)+E(f22(f22(f6(x6651),x6652),f4(x6651)),f4(x6651))
% 15.75/15.78 [670]~P5(x6701)+E(f9(x6701,x6702,f4(x6701)),f4(x6701))
% 15.75/15.78 [671]~P5(x6711)+E(f9(x6711,f4(x6711),x6712),f4(x6711))
% 15.75/15.78 [689]~P2(x6891)+E(f19(x6891,f4(x6891),x6892),f4(f63(x6891)))
% 15.75/15.78 [695]~P21(x6951)+E(f8(x6951,f4(x6951),x6952),f5(x6951,x6952))
% 15.75/15.78 [703]~P43(x7031)+E(f13(x7031,f5(x7031,x7032)),f5(x7031,f13(x7031,x7032)))
% 15.75/15.78 [725]~P21(x7251)+E(f12(x7251,x7252,f5(x7251,x7252)),f4(x7251))
% 15.75/15.78 [726]~P3(x7261)+E(f12(x7261,f5(x7261,x7262),x7262),f4(x7261))
% 15.75/15.78 [727]~P21(x7271)+E(f12(x7271,f5(x7271,x7272),x7272),f4(x7271))
% 15.75/15.78 [818]~P1(x8181)+P73(f22(f22(f23(x8181),x8182),f4(x8181)))
% 15.75/15.78 [820]E(x8201,x8202)+~E(f22(x8201,f32(x8202,x8201)),f22(x8202,f32(x8202,x8201)))
% 15.75/15.78 [855]P8(a60,f4(a60),x8551)+~E(x8551,f12(a60,x8552,f7(a60)))
% 15.75/15.78 [887]~P7(a60,x8871,x8872)+E(f12(a60,x8871,f33(x8872,x8871)),x8872)
% 15.75/15.78 [888]~P7(a60,x8881,x8882)+E(f12(a60,x8881,f36(x8882,x8881)),x8882)
% 15.75/15.78 [889]~E(x8891,x8892)+P8(a60,x8891,f12(a60,x8892,f7(a60)))
% 15.75/15.78 [890]~E(x8901,x8902)+P8(a61,x8901,f12(a61,x8902,f7(a61)))
% 15.75/15.78 [894]~E(x8941,f4(a60))+P8(a60,x8941,f12(a60,x8942,f7(a60)))
% 15.75/15.78 [930]~P56(x9301)+P8(x9301,x9302,f12(x9301,x9302,f7(x9301)))
% 15.75/15.78 [986]P8(a60,x9862,x9861)+E(f12(a60,x9861,f8(a60,x9862,x9861)),x9862)
% 15.75/15.78 [1004]P8(a60,x10041,x10042)+P8(a60,x10042,f12(a60,x10041,f7(a60)))
% 15.75/15.78 [1005]P7(a60,x10051,x10052)+P7(a60,f12(a60,x10052,f7(a60)),x10051)
% 15.75/15.78 [1070]~P7(a60,x10702,x10701)+E(f8(a60,x10701,f8(a60,x10701,x10702)),x10702)
% 15.75/15.78 [1071]~P7(a60,x10711,x10712)+E(f12(a60,x10711,f8(a60,x10712,x10711)),x10712)
% 15.75/15.78 [1072]~P7(a60,x10722,x10721)+E(f12(a60,f8(a60,x10721,x10722),x10722),x10721)
% 15.75/15.78 [1083]~P7(a60,x10831,x10832)+P8(a60,x10831,f12(a60,x10832,f7(a60)))
% 15.75/15.78 [1084]~P8(a61,x10841,x10842)+P8(a61,x10841,f12(a61,x10842,f7(a61)))
% 15.75/15.78 [1085]~P7(a61,x10851,x10852)+P8(a61,x10851,f12(a61,x10852,f7(a61)))
% 15.75/15.78 [1088]~P8(a61,x10881,x10882)+P7(a61,x10881,f8(a61,x10882,f7(a61)))
% 15.75/15.78 [1091]~P8(a60,x10911,x10912)+P7(a60,f12(a60,x10911,f7(a60)),x10912)
% 15.75/15.78 [1093]~P8(a61,x10931,x10932)+P7(a61,f12(a61,x10931,f7(a61)),x10932)
% 15.75/15.78 [1151]~P8(a60,x11511,x11512)+E(f12(a60,f12(a60,x11511,f37(x11512,x11511)),f7(a60)),x11512)
% 15.75/15.78 [1178]P8(a61,x11781,x11782)+~P7(a61,x11781,f8(a61,x11782,f7(a61)))
% 15.75/15.78 [1179]P7(a60,x11791,x11792)+~P8(a60,x11791,f12(a60,x11792,f7(a60)))
% 15.75/15.78 [1180]P7(a61,x11801,x11802)+~P8(a61,x11801,f12(a61,x11802,f7(a61)))
% 15.75/15.78 [1184]P8(a60,x11841,x11842)+~P7(a60,f12(a60,x11841,f7(a60)),x11842)
% 15.75/15.78 [1185]P8(a61,x11851,x11852)+~P7(a61,f12(a61,x11851,f7(a61)),x11852)
% 15.75/15.78 [1262]~P8(a60,x12621,x12622)+~P8(a60,x12622,f12(a60,x12621,f7(a60)))
% 15.75/15.78 [1263]~P7(a60,x12631,x12632)+~P7(a60,f12(a60,x12632,f7(a60)),x12631)
% 15.75/15.78 [1417]E(x14171,f4(a60))+E(f12(a60,f12(a60,f8(a60,x14171,f7(a60)),x14172),f7(a60)),f12(a60,x14171,x14172))
% 15.75/15.78 [1478]P8(a60,x14781,x14782)+~P8(a60,f12(a60,x14781,f7(a60)),f12(a60,x14782,f7(a60)))
% 15.75/15.78 [1479]P7(a60,x14791,x14792)+~P7(a60,f12(a60,x14791,f7(a60)),f12(a60,x14792,f7(a60)))
% 15.75/15.78 [1760]~P4(x17601)+P11(x17601,x17602,f4(f63(x17601)),f4(f63(x17601)),x17602)
% 15.75/15.78 [1771]~P4(x17711)+P11(x17711,f4(f63(x17711)),x17712,f4(f63(x17711)),f4(f63(x17711)))
% 15.75/15.78 [614]~E(x6142,f4(a60))+E(f22(f22(f6(a60),x6141),x6142),f4(a60))
% 15.75/15.78 [616]~E(x6161,f4(a60))+E(f22(f22(f6(a60),x6161),x6162),f4(a60))
% 15.75/15.78 [617]~E(x6172,f4(a60))+E(f22(f22(f28(a60),x6171),x6172),f7(a60))
% 15.75/15.78 [629]~P38(x6291)+E(f22(f22(f6(x6291),x6292),x6292),x6292)
% 15.75/15.78 [675]~P1(x6751)+E(f22(f22(f6(x6751),f7(x6751)),x6752),x6752)
% 15.75/15.78 [676]~P12(x6761)+E(f22(f22(f6(x6761),f7(x6761)),x6762),x6762)
% 15.75/15.78 [677]~P13(x6771)+E(f22(f22(f6(x6771),f7(x6771)),x6772),x6772)
% 15.75/15.78 [678]~P3(x6781)+E(f3(x6781,f5(f63(x6781),x6782)),f3(x6781,x6782))
% 15.75/15.78 [683]~P1(x6831)+E(f22(f22(f6(x6831),f4(x6831)),x6832),f4(x6831))
% 15.75/15.78 [684]~P53(x6841)+E(f22(f22(f6(x6841),f4(x6841)),x6842),f4(x6841))
% 15.75/15.78 [686]~P42(x6861)+E(f22(f22(f6(x6861),f4(x6861)),x6862),f4(x6861))
% 15.75/15.78 [687]~P12(x6871)+E(f22(f22(f28(x6871),f7(x6871)),x6872),f7(x6871))
% 15.75/15.78 [693]E(x6931,f7(a60))+~E(f22(f22(f6(a60),x6932),x6931),f7(a60))
% 15.75/15.78 [694]E(x6941,f7(a60))+~E(f22(f22(f6(a60),x6941),x6942),f7(a60))
% 15.75/15.78 [700]~P3(x7001)+E(f8(f63(x7001),x7002,f4(f63(x7001))),x7002)
% 15.75/15.78 [701]~P16(x7011)+E(f12(f63(x7011),x7012,f4(f63(x7011))),x7012)
% 15.75/15.78 [702]~P16(x7021)+E(f12(f63(x7021),f4(f63(x7021)),x7022),x7022)
% 15.75/15.78 [719]~P4(x7191)+E(f25(x7191,x7192,f7(f63(x7191))),f7(f63(x7191)))
% 15.75/15.78 [720]~P46(x7201)+E(f21(x7201,f4(f63(x7201)),x7202),f4(f63(x7201)))
% 15.75/15.78 [721]~P46(x7211)+E(f26(x7211,f4(f63(x7211)),x7212),f4(f63(x7211)))
% 15.75/15.78 [722]~P4(x7221)+E(f25(x7221,f7(f63(x7221)),x7222),f7(f63(x7221)))
% 15.75/15.78 [751]~E(x7511,x7512)+P73(f22(f22(f23(a60),x7511),x7512))
% 15.75/15.78 [764]~P3(x7641)+E(f8(f63(x7641),f4(f63(x7641)),x7642),f5(f63(x7641),x7642))
% 15.75/15.78 [779]~E(x7792,f4(a60))+E(f22(f22(f28(a60),x7791),x7792),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [781]~P46(x7811)+E(f22(f22(f6(f63(x7811)),x7812),f4(f63(x7811))),f4(f63(x7811)))
% 15.75/15.78 [784]~P1(x7841)+P73(f22(f22(f23(x7841),x7842),x7842))
% 15.75/15.78 [836]~P2(x8361)+E(f20(x8361,x8362,f4(f63(x8361))),f19(x8361,x8362,f4(a60)))
% 15.75/15.78 [837]~P1(x8371)+P73(f22(f22(f23(x8371),f7(x8371)),x8372))
% 15.75/15.78 [880]~E(x8802,f4(a60))+P8(a60,f4(a60),f22(f22(f28(a60),x8801),x8802))
% 15.75/15.78 [901]~P58(x9011)+P7(x9011,f4(x9011),f22(f22(f6(x9011),x9012),x9012))
% 15.75/15.78 [965]~E(x9651,f12(a60,f4(a60),f7(a60)))+E(f22(f22(f28(a60),x9651),x9652),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1019]E(x10191,f12(a60,f4(a60),f7(a60)))+~E(f22(f22(f6(a60),x10192),x10191),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1020]E(x10201,f12(a60,f4(a60),f7(a60)))+~E(f22(f22(f6(a60),x10201),x10202),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1033]P7(a61,f4(a61),x10332)+E(f5(a61,f9(a61,x10331,f5(a61,x10332))),f31(x10331,x10332))
% 15.75/15.78 [1048]~P8(a60,f4(a60),x10481)+P8(a60,f4(a60),f22(f22(f28(a60),x10481),x10482))
% 15.75/15.78 [1049]~P7(a61,f4(a61),x10491)+P7(a61,f4(a61),f22(f22(f28(a61),x10491),x10492))
% 15.75/15.78 [1110]~P58(x11101)+~P8(x11101,f22(f22(f6(x11101),x11102),x11102),f4(x11101))
% 15.75/15.78 [1134]P8(a60,f4(a60),x11341)+~P8(a60,f4(a60),f22(f22(f6(a60),x11342),x11341))
% 15.75/15.78 [1135]P8(a60,f4(a60),x11351)+~P8(a60,f4(a60),f22(f22(f6(a60),x11351),x11352))
% 15.75/15.78 [1137]P73(f22(f22(f23(a61),x11371),f5(a61,x11372)))+~P73(f22(f22(f23(a61),x11371),x11372))
% 15.75/15.78 [1163]E(f22(f22(f6(a61),x11631),f9(a61,x11632,x11631)),x11632)+~P73(f22(f22(f23(a61),x11631),x11632))
% 15.75/15.78 [1192]~P73(f22(f22(f23(a61),x11921),f5(a61,x11922)))+P73(f22(f22(f23(a61),x11921),x11922))
% 15.75/15.78 [1247]~P73(f22(f22(f23(a61),x12471),x12472))+P73(f22(f22(f23(a61),f5(a61,x12471)),x12472))
% 15.75/15.78 [1346]P73(f22(f22(f23(a61),x13461),x13462))+~P73(f22(f22(f23(a61),f5(a61,x13461)),x13462))
% 15.75/15.78 [1454]P73(f22(f22(f23(a60),x14541),f12(a60,x14542,x14541)))+~P73(f22(f22(f23(a60),x14541),x14542))
% 15.75/15.78 [1470]~P8(a60,f4(a60),x14701)+P8(a60,f8(a60,x14701,f12(a60,x14702,f7(a60))),x14701)
% 15.75/15.78 [1524]~P7(a60,f12(a60,f4(a60),f7(a60)),x15241)+P7(a60,f12(a60,f4(a60),f7(a60)),f22(f22(f28(a60),x15241),x15242))
% 15.75/15.78 [1578]~P73(f22(f22(f23(a60),x15781),f12(a60,x15782,x15781)))+P73(f22(f22(f23(a60),x15781),x15782))
% 15.75/15.78 [1586]P7(a60,f12(a60,f4(a60),f7(a60)),x15861)+~P7(a60,f12(a60,f4(a60),f7(a60)),f22(f22(f6(a60),x15862),x15861))
% 15.75/15.78 [1587]P7(a60,f12(a60,f4(a60),f7(a60)),x15871)+~P7(a60,f12(a60,f4(a60),f7(a60)),f22(f22(f6(a60),x15871),x15872))
% 15.75/15.78 [1588]~P67(x15881)+E(f22(f22(f6(x15881),f12(x15881,x15882,f7(x15881))),f8(x15881,x15882,f7(x15881))),f8(x15881,f22(f22(f6(x15881),x15882),x15882),f7(x15881)))
% 15.75/15.78 [710]~P46(x7101)+E(f22(f17(x7101,f4(f63(x7101))),x7102),f4(x7101))
% 15.75/15.78 [711]~P1(x7111)+E(f22(f17(x7111,f7(f63(x7111))),x7112),f7(x7111))
% 15.75/15.78 [712]~P2(x7121)+E(f22(f14(x7121,f4(f63(x7121))),x7122),f4(x7121))
% 15.75/15.78 [824]~P46(x8241)+E(f22(f22(f6(f63(x8241)),f4(f63(x8241))),x8242),f4(f63(x8241)))
% 15.75/15.78 [862]~P32(x8621)+E(f22(f22(f6(x8621),f5(x8621,f7(x8621))),x8622),f5(x8621,x8622))
% 15.75/15.78 [891]~P2(x8911)+E(f3(x8911,f20(x8911,x8912,f4(f63(x8911)))),f4(a60))
% 15.75/15.78 [1034]~P8(a60,f4(a60),x10342)+E(f9(a60,f22(f22(f6(a60),x10341),x10342),x10342),x10341)
% 15.75/15.78 [1035]~P8(a60,f4(a60),x10351)+E(f9(a60,f22(f22(f6(a60),x10351),x10352),x10351),x10352)
% 15.75/15.78 [1328]~P1(x13281)+E(f12(x13281,x13282,x13282),f22(f22(f6(x13281),f12(x13281,f7(x13281),f7(x13281))),x13282))
% 15.75/15.78 [1368]E(x13681,f4(a60))+E(f22(f22(f6(a60),x13682),f22(f22(f28(a60),x13682),f8(a60,x13681,f7(a60)))),f22(f22(f28(a60),x13682),x13681))
% 15.75/15.78 [1626]E(x16261,f4(a60))+E(f12(a60,x16262,f22(f22(f6(a60),f8(a60,x16261,f7(a60))),x16262)),f22(f22(f6(a60),x16261),x16262))
% 15.75/15.78 [791]~P1(x7911)+E(f12(x7911,x7912,x7913),f12(x7911,x7913,x7912))
% 15.75/15.78 [792]~P4(x7921)+E(f25(x7921,x7922,x7923),f25(x7921,x7923,x7922))
% 15.75/15.78 [839]P7(a60,x8391,x8392)+~E(x8392,f12(a60,x8391,x8393))
% 15.75/15.78 [892]E(x8921,x8922)+~E(f12(a60,x8923,x8921),f12(a60,x8923,x8922))
% 15.75/15.78 [893]E(x8931,x8932)+~E(f12(a60,x8931,x8933),f12(a60,x8932,x8933))
% 15.75/15.78 [1058]~P8(a60,x10581,x10583)+P8(a60,x10581,f12(a60,x10582,x10583))
% 15.75/15.78 [1060]~P8(a60,x10601,x10602)+P8(a60,x10601,f12(a60,x10602,x10603))
% 15.75/15.78 [1062]~P7(a60,x10621,x10623)+P7(a60,x10621,f12(a60,x10622,x10623))
% 15.75/15.78 [1064]~P7(a60,x10641,x10642)+P7(a60,x10641,f12(a60,x10642,x10643))
% 15.75/15.78 [1065]~P8(a60,x10651,x10653)+P8(a60,f8(a60,x10651,x10652),x10653)
% 15.75/15.78 [1166]P8(a60,x11661,x11662)+~P8(a60,f12(a60,x11661,x11663),x11662)
% 15.75/15.78 [1169]P7(a60,x11691,x11692)+~P7(a60,f12(a60,x11693,x11691),x11692)
% 15.75/15.78 [1170]P7(a60,x11701,x11702)+~P7(a60,f12(a60,x11701,x11703),x11702)
% 15.75/15.78 [1268]~P8(a60,x12682,x12683)+P8(a60,f12(a60,x12681,x12682),f12(a60,x12681,x12683))
% 15.75/15.78 [1269]~P8(a60,x12691,x12693)+P8(a60,f12(a60,x12691,x12692),f12(a60,x12693,x12692))
% 15.75/15.78 [1270]~P8(a61,x12701,x12703)+P8(a61,f12(a61,x12701,x12702),f12(a61,x12703,x12702))
% 15.75/15.78 [1271]~P7(a60,x12713,x12712)+P7(a60,f8(a60,x12711,x12712),f8(a60,x12711,x12713))
% 15.75/15.78 [1272]~P7(a60,x12721,x12723)+P7(a60,f8(a60,x12721,x12722),f8(a60,x12723,x12722))
% 15.75/15.78 [1273]~P7(a60,x12732,x12733)+P7(a60,f12(a60,x12731,x12732),f12(a60,x12731,x12733))
% 15.75/15.78 [1274]~P7(a60,x12741,x12743)+P7(a60,f12(a60,x12741,x12742),f12(a60,x12743,x12742))
% 15.75/15.78 [1275]~P7(a60,x12751,x12753)+P7(a60,f9(a60,x12751,x12752),f9(a60,x12753,x12752))
% 15.75/15.78 [1276]~P7(a61,x12762,x12763)+P7(a61,f12(a61,x12761,x12762),f12(a61,x12761,x12763))
% 15.75/15.78 [1364]~P8(a60,f12(a60,x13641,x13643),x13642)+P8(a60,x13641,f8(a60,x13642,x13643))
% 15.75/15.78 [1365]~P7(a60,f8(a60,x13651,x13653),x13652)+P7(a60,x13651,f12(a60,x13652,x13653))
% 15.75/15.78 [1366]~P8(a60,x13661,f8(a60,x13663,x13662))+P8(a60,f12(a60,x13661,x13662),x13663)
% 15.75/15.78 [1367]~P7(a60,x13671,f12(a60,x13673,x13672))+P7(a60,f8(a60,x13671,x13672),x13673)
% 15.75/15.78 [1468]P8(a60,x14681,x14682)+~P8(a60,f12(a60,x14683,x14681),f12(a60,x14683,x14682))
% 15.75/15.78 [1469]P7(a60,x14691,x14692)+~P7(a60,f12(a60,x14693,x14691),f12(a60,x14693,x14692))
% 15.75/15.78 [849]~P32(x8491)+E(f12(x8491,x8492,f5(x8491,x8493)),f8(x8491,x8492,x8493))
% 15.75/15.78 [850]~P3(x8501)+E(f12(x8501,x8502,f5(x8501,x8503)),f8(x8501,x8502,x8503))
% 15.75/15.78 [851]~P21(x8511)+E(f12(x8511,x8512,f5(x8511,x8513)),f8(x8511,x8512,x8513))
% 15.75/15.78 [852]~P21(x8521)+E(f8(x8521,x8522,f5(x8521,x8523)),f12(x8521,x8522,x8523))
% 15.75/15.78 [897]~P21(x8971)+E(f8(x8971,f12(x8971,x8972,x8973),x8973),x8972)
% 15.75/15.78 [898]~P21(x8981)+E(f12(x8981,f8(x8981,x8982,x8983),x8983),x8982)
% 15.75/15.78 [935]~P3(x9351)+E(f5(x9351,f8(x9351,x9352,x9353)),f8(x9351,x9353,x9352))
% 15.75/15.78 [961]~P21(x9611)+E(f12(x9611,f5(x9611,x9612),f12(x9611,x9612,x9613)),x9613)
% 15.75/15.78 [985]~P46(x9851)+E(f3(x9851,f26(x9851,x9852,x9853)),f8(a60,f3(x9851,x9852),f7(a60)))
% 15.75/15.78 [992]~P3(x9921)+E(f5(f63(x9921),f19(x9921,x9922,x9923)),f19(x9921,f5(x9921,x9922),x9923))
% 15.75/15.78 [1036]~P21(x10361)+E(f12(x10361,f5(x10361,x10362),f5(x10361,x10363)),f5(x10361,f12(x10361,x10363,x10362)))
% 15.75/15.78 [1037]~P3(x10371)+E(f12(x10371,f5(x10371,x10372),f5(x10371,x10373)),f5(x10371,f12(x10371,x10372,x10373)))
% 15.75/15.78 [1038]~P3(x10381)+E(f8(x10381,f5(x10381,x10382),f5(x10381,x10383)),f5(x10381,f8(x10381,x10382,x10383)))
% 15.75/15.78 [1111]~P2(x11111)+E(f22(f14(x11111,f20(x11111,x11112,x11113)),f4(a60)),x11112)
% 15.75/15.78 [1164]~P2(x11641)+P7(a60,f3(x11641,f19(x11641,x11642,x11643)),x11643)
% 15.75/15.78 [1177]P8(a60,x11771,x11772)+~E(x11772,f12(a60,f12(a60,x11771,x11773),f7(a60)))
% 15.75/15.78 [1218]~P74(x12181,x12183,x12182)+P73(f22(x12181,f9(a61,x12182,x12183)))
% 15.75/15.78 [1356]~P7(a60,x13562,x13563)+E(f8(a60,f12(a60,x13561,x13562),x13563),f8(a60,x13561,f8(a60,x13563,x13562)))
% 15.75/15.78 [1358]~P7(a60,x13583,x13582)+E(f12(a60,x13581,f8(a60,x13582,x13583)),f8(a60,f12(a60,x13581,x13582),x13583))
% 15.75/15.78 [1360]~P7(a60,x13602,x13601)+E(f12(a60,f8(a60,x13601,x13602),x13603),f8(a60,f12(a60,x13601,x13603),x13602))
% 15.75/15.78 [1410]P74(x14101,x14102,x14103)+~P73(f22(x14101,f9(a61,x14103,x14102)))
% 15.75/15.78 [1433]~P7(a60,x14333,x14332)+P7(a60,x14331,f8(a60,f12(a60,x14332,x14331),x14333))
% 15.75/15.78 [1467]~P2(x14671)+P7(a60,f3(x14671,f20(x14671,x14672,x14673)),f12(a60,f3(x14671,x14673),f7(a60)))
% 15.75/15.78 [1551]~P46(x15511)+P7(a60,f3(x15511,f21(x15511,x15512,x15513)),f22(f22(f6(a60),f3(x15511,x15512)),f3(x15511,x15513)))
% 15.75/15.78 [752]~E(x7522,f4(a60))+E(f22(f22(f6(a60),x7521),x7522),f22(f22(f6(a60),x7523),x7522))
% 15.75/15.78 [754]~E(x7541,f4(a60))+E(f22(f22(f6(a60),x7541),x7542),f22(f22(f6(a60),x7541),x7543))
% 15.75/15.78 [780]~P1(x7801)+E(f22(f22(f6(x7801),x7802),x7803),f22(f22(f6(x7801),x7803),x7802))
% 15.75/15.78 [881]~P4(x8811)+E(f25(x8811,x8812,f5(f63(x8811),x8813)),f25(x8811,x8812,x8813))
% 15.75/15.78 [882]~P4(x8821)+E(f25(x8821,f5(f63(x8821),x8822),x8823),f25(x8821,x8822,x8823))
% 15.75/15.78 [947]~P49(x9471)+E(f22(f22(f6(x9471),f5(x9471,x9472)),x9473),f22(f22(f6(x9471),x9472),f5(x9471,x9473)))
% 15.75/15.78 [948]~P49(x9481)+E(f22(f22(f6(x9481),f5(x9481,x9482)),f5(x9481,x9483)),f22(f22(f6(x9481),x9482),x9483))
% 15.75/15.78 [1012]~P21(x10121)+E(f12(x10121,x10122,f12(x10121,f5(x10121,x10122),x10123)),x10123)
% 15.75/15.78 [1077]~P4(x10771)+E(f9(f63(x10771),x10772,f5(f63(x10771),x10773)),f5(f63(x10771),f9(f63(x10771),x10772,x10773)))
% 15.75/15.78 [1078]~P4(x10781)+E(f9(f63(x10781),f5(f63(x10781),x10782),x10783),f5(f63(x10781),f9(f63(x10781),x10782,x10783)))
% 15.75/15.78 [1098]~P3(x10981)+E(f20(x10981,f5(x10981,x10982),f5(f63(x10981),x10983)),f5(f63(x10981),f20(x10981,x10982,x10983)))
% 15.75/15.78 [1139]P8(a60,f4(a60),x11391)+P7(a60,f22(f22(f6(a60),x11392),x11391),f22(f22(f6(a60),x11393),x11391))
% 15.75/15.78 [1140]P8(a60,f4(a60),x11401)+P7(a60,f22(f22(f6(a60),x11401),x11402),f22(f22(f6(a60),x11401),x11403))
% 15.75/15.78 [1196]~P7(a60,x11962,x11963)+P7(a60,f22(f22(f6(a60),x11961),x11962),f22(f22(f6(a60),x11961),x11963))
% 15.75/15.78 [1198]~P7(a60,x11981,x11983)+P7(a60,f22(f22(f6(a60),x11981),x11982),f22(f22(f6(a60),x11983),x11982))
% 15.75/15.78 [1260]~P2(x12601)+E(f19(x12601,x12602,f12(a60,x12603,f7(a60))),f20(x12601,f4(x12601),f19(x12601,x12602,x12603)))
% 15.75/15.78 [1388]P8(a60,x13881,x13882)+~P8(a60,f22(f22(f6(a60),x13883),x13881),f22(f22(f6(a60),x13883),x13882))
% 15.75/15.78 [1389]P8(a60,x13891,x13892)+~P8(a60,f22(f22(f6(a60),x13891),x13893),f22(f22(f6(a60),x13892),x13893))
% 15.75/15.78 [1394]P8(a60,f4(a60),x13941)+~P8(a60,f22(f22(f6(a60),x13942),x13941),f22(f22(f6(a60),x13943),x13941))
% 15.75/15.78 [1395]P8(a60,f4(a60),x13951)+~P8(a60,f22(f22(f6(a60),x13951),x13952),f22(f22(f6(a60),x13951),x13953))
% 15.75/15.78 [1597]~P4(x15971)+P73(f22(f22(f23(f63(x15971)),f25(x15971,x15972,x15973)),x15973))
% 15.75/15.78 [1598]~P4(x15981)+P73(f22(f22(f23(f63(x15981)),f25(x15981,x15982,x15983)),x15982))
% 15.75/15.78 [1664]~P7(a60,x16642,x16643)+E(f8(a60,f12(a60,x16641,x16642),f12(a60,x16643,f7(a60))),f8(a60,x16641,f12(a60,f8(a60,x16643,x16642),f7(a60))))
% 15.75/15.78 [1665]~P7(a60,x16652,x16651)+E(f8(a60,f12(a60,f8(a60,x16651,x16652),f7(a60)),x16653),f8(a60,f12(a60,x16651,f7(a60)),f12(a60,x16652,x16653)))
% 15.75/15.78 [1727]~P46(x17271)+E(f22(f14(x17271,f22(f22(f6(f63(x17271)),x17272),x17273)),f12(a60,f3(x17271,x17272),f3(x17271,x17273))),f22(f22(f6(x17271),f22(f14(x17271,x17272),f3(x17271,x17272))),f22(f14(x17271,x17273),f3(x17271,x17273))))
% 15.75/15.78 [973]~P49(x9731)+E(f22(f22(f6(x9731),x9732),f5(x9731,x9733)),f5(x9731,f22(f22(f6(x9731),x9732),x9733)))
% 15.75/15.78 [975]~P42(x9751)+E(f22(f22(f6(x9751),x9752),f5(x9751,x9753)),f5(x9751,f22(f22(f6(x9751),x9752),x9753)))
% 15.75/15.78 [991]~P38(x9911)+E(f22(f22(f6(x9911),x9912),f22(f22(f6(x9911),x9912),x9913)),f22(f22(f6(x9911),x9912),x9913))
% 15.75/15.78 [1002]~P41(x10021)+E(f22(f17(x10021,f5(f63(x10021),x10022)),x10023),f5(x10021,f22(f17(x10021,x10022),x10023)))
% 15.75/15.78 [1003]~P3(x10031)+E(f22(f14(x10031,f5(f63(x10031),x10032)),x10033),f5(x10031,f22(f14(x10031,x10032),x10033)))
% 15.75/15.78 [1021]~P49(x10211)+E(f22(f22(f6(x10211),f5(x10211,x10212)),x10213),f5(x10211,f22(f22(f6(x10211),x10212),x10213)))
% 15.75/15.78 [1023]~P42(x10231)+E(f22(f22(f6(x10231),f5(x10231,x10232)),x10233),f5(x10231,f22(f22(f6(x10231),x10232),x10233)))
% 15.75/15.78 [1069]~E(x10691,f4(a60))+E(f9(a60,f22(f22(f6(a60),x10691),x10692),f22(f22(f6(a60),x10691),x10693)),f4(a60))
% 15.75/15.78 [1100]~P54(x11001)+E(f22(f22(f6(x11001),f13(x11001,x11002)),f13(x11001,x11003)),f13(x11001,f22(f22(f6(x11001),x11002),x11003)))
% 15.75/15.78 [1101]~P45(x11011)+E(f22(f22(f6(x11011),f13(x11011,x11012)),f13(x11011,x11013)),f13(x11011,f22(f22(f6(x11011),x11012),x11013)))
% 15.75/15.78 [1138]E(x11381,f4(a60))+E(f9(a60,f22(f22(f6(a60),x11381),x11382),f22(f22(f6(a60),x11381),x11383)),f9(a60,x11382,x11383))
% 15.75/15.78 [1199]~P1(x11991)+P73(f22(f22(f23(x11991),x11992),f22(f22(f6(x11991),x11993),x11992)))
% 15.75/15.78 [1200]~P1(x12001)+P73(f22(f22(f23(x12001),x12002),f22(f22(f6(x12001),x12002),x12003)))
% 15.75/15.78 [1213]~P1(x12131)+E(f22(f22(f6(x12131),x12132),f22(f22(f28(x12131),x12132),x12133)),f22(f22(f28(x12131),x12132),f12(a60,x12133,f7(a60))))
% 15.75/15.78 [1214]~P33(x12141)+E(f22(f22(f6(x12141),x12142),f22(f22(f28(x12141),x12142),x12143)),f22(f22(f28(x12141),x12142),f12(a60,x12143,f7(a60))))
% 15.75/15.78 [1327]~P8(a60,f4(a60),x13271)+E(f9(a60,f22(f22(f6(a60),x13271),x13272),f22(f22(f6(a60),x13271),x13273)),f9(a60,x13272,x13273))
% 15.75/15.78 [1347]~P8(a61,f4(a61),x13473)+E(f9(a61,x13471,f22(f22(f6(a61),x13472),x13473)),f9(a61,f9(a61,x13471,x13472),x13473))
% 15.75/15.78 [1459]~P1(x14591)+E(f12(x14591,x14592,f22(f22(f6(x14591),x14593),x14592)),f22(f22(f6(x14591),f12(x14591,x14593,f7(x14591))),x14592))
% 15.75/15.78 [1460]~P1(x14601)+E(f12(x14601,f22(f22(f6(x14601),x14602),x14603),x14603),f22(f22(f6(x14601),f12(x14601,x14602,f7(x14601))),x14603))
% 15.75/15.78 [1594]~P58(x15941)+P7(x15941,f4(x15941),f12(x15941,f22(f22(f6(x15941),x15942),x15942),f22(f22(f6(x15941),x15943),x15943)))
% 15.75/15.78 [1632]~E(x16321,f4(a60))+P73(f22(f22(f23(a60),f22(f22(f6(a60),x16321),x16322)),f22(f22(f6(a60),x16321),x16323)))
% 15.75/15.78 [1684]~P67(x16841)+E(f22(f22(f6(x16841),f22(f22(f28(x16841),f5(x16841,f7(x16841))),x16842)),f22(f22(f28(x16841),x16843),x16842)),f22(f22(f28(x16841),f5(x16841,x16843)),x16842))
% 15.75/15.78 [1685]~P73(f22(f22(f23(a60),x16852),x16853))+P73(f22(f22(f23(a60),f22(f22(f6(a60),x16851),x16852)),f22(f22(f6(a60),x16851),x16853)))
% 15.75/15.78 [1701]E(x17011,x17012)+~E(f22(f22(f6(a60),f12(a60,x17013,f7(a60))),x17011),f22(f22(f6(a60),f12(a60,x17013,f7(a60))),x17012))
% 15.75/15.78 [1712]~P58(x17121)+~P8(x17121,f12(x17121,f22(f22(f6(x17121),x17122),x17122),f22(f22(f6(x17121),x17123),x17123)),f4(x17121))
% 15.75/15.78 [1755]~P8(a60,x17552,x17553)+P8(a60,f22(f22(f6(a60),f12(a60,x17551,f7(a60))),x17552),f22(f22(f6(a60),f12(a60,x17551,f7(a60))),x17553))
% 15.75/15.78 [1789]P7(a60,x17891,x17892)+~P7(a60,f22(f22(f6(a60),f12(a60,x17893,f7(a60))),x17891),f22(f22(f6(a60),f12(a60,x17893,f7(a60))),x17892))
% 15.75/15.78 [1803]~P32(x18031)+E(f8(x18031,f22(f22(f28(x18031),x18032),f12(a60,f12(a60,f4(a60),f7(a60)),f7(a60))),f22(f22(f28(x18031),x18033),f12(a60,f12(a60,f4(a60),f7(a60)),f7(a60)))),f22(f22(f6(x18031),f8(x18031,x18032,x18033)),f12(x18031,x18032,x18033)))
% 15.75/15.78 [1826]~P32(x18261)+E(f12(f63(x18261),f22(f22(f6(f63(x18261)),f20(x18261,f5(x18261,x18262),f20(x18261,f7(x18261),f4(f63(x18261))))),f26(x18261,x18263,x18262)),f20(x18261,f22(f17(x18261,x18263),x18262),f4(f63(x18261)))),x18263)
% 15.75/15.78 [1854]~P51(x18541)+P73(f22(f22(f23(f63(x18541)),f22(f22(f28(f63(x18541)),f20(x18541,f5(x18541,x18542),f20(x18541,f7(x18541),f4(f63(x18541))))),f18(x18541,x18542,x18543))),x18543))
% 15.75/15.78 [1387]~P12(x13871)+E(f22(f22(f6(x13871),f22(f22(f28(x13871),x13872),x13873)),x13872),f22(f22(f6(x13871),x13872),f22(f22(f28(x13871),x13872),x13873)))
% 15.75/15.78 [1401]~P12(x14011)+E(f22(f22(f6(x14011),f22(f22(f28(x14011),x14012),x14013)),x14012),f22(f22(f28(x14011),x14012),f12(a60,x14013,f7(a60))))
% 15.75/15.78 [1402]~P1(x14021)+E(f22(f22(f6(x14021),f22(f22(f28(x14021),x14022),x14023)),x14022),f22(f22(f28(x14021),x14022),f12(a60,x14023,f7(a60))))
% 15.75/15.78 [1593]~P1(x15931)+P7(a60,f3(x15931,f22(f22(f28(f63(x15931)),x15932),x15933)),f22(f22(f6(a60),f3(x15931,x15932)),x15933))
% 15.75/15.78 [1600]~P46(x16001)+P7(a60,f3(x16001,f22(f22(f6(f63(x16001)),x16002),x16003)),f12(a60,f3(x16001,x16002),f3(x16001,x16003)))
% 15.75/15.78 [1695]~P73(f22(f22(f23(a61),x16951),x16952))+P73(f22(f22(f23(a61),x16951),f12(a61,x16952,f22(f22(f6(a61),x16951),x16953))))
% 15.75/15.78 [1747]P73(f22(f22(f23(a61),x17471),x17472))+~P73(f22(f22(f23(a61),x17471),f12(a61,x17472,f22(f22(f6(a61),x17471),x17473))))
% 15.75/15.78 [1790]~P1(x17901)+E(f3(x17901,f22(f22(f28(f63(x17901)),f20(x17901,x17902,f20(x17901,f7(x17901),f4(f63(x17901))))),x17903)),x17903)
% 15.75/15.78 [1842]~P1(x18421)+E(f22(f14(x18421,f22(f22(f28(f63(x18421)),f20(x18421,x18422,f20(x18421,f7(x18421),f4(f63(x18421))))),x18423)),x18423),f7(x18421))
% 15.75/15.78 [1227]~P1(x12271)+E(f12(x12271,x12272,f12(x12271,x12273,x12274)),f12(x12271,x12273,f12(x12271,x12272,x12274)))
% 15.75/15.78 [1228]~P4(x12281)+E(f25(x12281,x12282,f25(x12281,x12283,x12284)),f25(x12281,x12283,f25(x12281,x12282,x12284)))
% 15.75/15.78 [1230]~P1(x12301)+E(f12(x12301,f12(x12301,x12302,x12303),x12304),f12(x12301,x12302,f12(x12301,x12303,x12304)))
% 15.75/15.78 [1231]~P15(x12311)+E(f12(x12311,f12(x12311,x12312,x12313),x12314),f12(x12311,x12312,f12(x12311,x12313,x12314)))
% 15.75/15.78 [1232]~P4(x12321)+E(f25(x12321,f25(x12321,x12322,x12323),x12324),f25(x12321,x12322,f25(x12321,x12323,x12324)))
% 15.75/15.78 [1233]~P1(x12331)+E(f12(x12331,f12(x12331,x12332,x12333),x12334),f12(x12331,f12(x12331,x12332,x12334),x12333))
% 15.75/15.78 [1380]~P46(x13801)+E(f26(x13801,f20(x13801,x13802,x13803),x13804),f20(x13801,f22(f17(x13801,x13803),x13804),f26(x13801,x13803,x13804)))
% 15.75/15.78 [1422]~P3(x14221)+E(f8(f63(x14221),f19(x14221,x14222,x14223),f19(x14221,x14224,x14223)),f19(x14221,f8(x14221,x14222,x14224),x14223))
% 15.75/15.78 [1423]~P16(x14231)+E(f12(f63(x14231),f19(x14231,x14232,x14233),f19(x14231,x14234,x14233)),f19(x14231,f12(x14231,x14232,x14234),x14233))
% 15.75/15.78 [840]~P26(x8402)+E(f22(f5(f64(x8401,x8402),x8403),x8404),f5(x8402,f22(x8403,x8404)))
% 15.75/15.78 [1331]~P46(x13311)+E(f22(f17(x13311,x13312),f22(f17(x13311,x13313),x13314)),f22(f17(x13311,f21(x13311,x13312,x13313)),x13314))
% 15.75/15.78 [1381]~P2(x13811)+E(f22(f14(x13811,f20(x13811,x13812,x13813)),f12(a60,x13814,f7(a60))),f22(f14(x13811,x13813),x13814))
% 15.75/15.78 [1672]~P46(x16721)+E(f12(f63(x16721),f20(x16721,x16722,f4(f63(x16721))),f22(f22(f6(f63(x16721)),x16723),f21(x16721,x16724,x16723))),f21(x16721,f20(x16721,x16722,x16724),x16723))
% 15.75/15.78 [1193]~P1(x11931)+E(f22(f22(f6(x11931),x11932),f22(f22(f6(x11931),x11933),x11934)),f22(f22(f6(x11931),x11933),f22(f22(f6(x11931),x11932),x11934)))
% 15.75/15.78 [1382]~P1(x13821)+E(f22(f22(f6(x13821),x13822),f22(f22(f28(x13821),x13823),x13824)),f22(f17(x13821,f19(x13821,x13822,x13824)),x13823))
% 15.75/15.78 [1397]~P42(x13971)+E(f8(x13971,f22(f22(f6(x13971),x13972),x13973),f22(f22(f6(x13971),x13972),x13974)),f22(f22(f6(x13971),x13972),f8(x13971,x13973,x13974)))
% 15.75/15.78 [1398]~P1(x13981)+E(f12(x13981,f22(f22(f6(x13981),x13982),x13983),f22(f22(f6(x13981),x13982),x13984)),f22(f22(f6(x13981),x13982),f12(x13981,x13983,x13984)))
% 15.75/15.78 [1400]~P42(x14001)+E(f12(x14001,f22(f22(f6(x14001),x14002),x14003),f22(f22(f6(x14001),x14002),x14004)),f22(f22(f6(x14001),x14002),f12(x14001,x14003,x14004)))
% 15.75/15.78 [1500]~P41(x15001)+E(f8(x15001,f22(f17(x15001,x15002),x15003),f22(f17(x15001,x15004),x15003)),f22(f17(x15001,f8(f63(x15001),x15002,x15004)),x15003))
% 15.75/15.78 [1501]~P46(x15011)+E(f12(x15011,f22(f17(x15011,x15012),x15013),f22(f17(x15011,x15014),x15013)),f22(f17(x15011,f12(f63(x15011),x15012,x15014)),x15013))
% 15.75/15.78 [1502]~P3(x15021)+E(f8(x15021,f22(f14(x15021,x15022),x15023),f22(f14(x15021,x15024),x15023)),f22(f14(x15021,f8(f63(x15021),x15022,x15024)),x15023))
% 15.75/15.78 [1503]~P16(x15031)+E(f12(x15031,f22(f14(x15031,x15032),x15033),f22(f14(x15031,x15034),x15033)),f22(f14(x15031,f12(f63(x15031),x15032,x15034)),x15033))
% 15.75/15.78 [1518]~P12(x15181)+E(f22(f22(f6(x15181),f22(f22(f28(x15181),x15182),x15183)),f22(f22(f28(x15181),x15182),x15184)),f22(f22(f28(x15181),x15182),f12(a60,x15183,x15184)))
% 15.75/15.78 [1519]~P1(x15191)+E(f22(f22(f6(x15191),f22(f22(f28(x15191),x15192),x15193)),f22(f22(f28(x15191),x15192),x15194)),f22(f22(f28(x15191),x15192),f12(a60,x15193,x15194)))
% 15.75/15.78 [1532]~P42(x15321)+E(f8(x15321,f22(f22(f6(x15321),x15322),x15323),f22(f22(f6(x15321),x15324),x15323)),f22(f22(f6(x15321),f8(x15321,x15322,x15324)),x15323))
% 15.75/15.78 [1535]~P42(x15351)+E(f12(x15351,f22(f22(f6(x15351),x15352),x15353),f22(f22(f6(x15351),x15354),x15353)),f22(f22(f6(x15351),f12(x15351,x15352,x15354)),x15353))
% 15.75/15.78 [1536]~P47(x15361)+E(f12(x15361,f22(f22(f6(x15361),x15362),x15363),f22(f22(f6(x15361),x15364),x15363)),f22(f22(f6(x15361),f12(x15361,x15362,x15364)),x15363))
% 15.75/15.78 [1537]~P1(x15371)+E(f12(x15371,f22(f22(f6(x15371),x15372),x15373),f22(f22(f6(x15371),x15374),x15373)),f22(f22(f6(x15371),f12(x15371,x15372,x15374)),x15373))
% 15.75/15.78 [1579]~P46(x15791)+E(f12(x15791,x15792,f22(f22(f6(x15791),x15793),f22(f17(x15791,x15794),x15793))),f22(f17(x15791,f20(x15791,x15792,x15794)),x15793))
% 15.75/15.78 [1361]~P4(x13611)+E(f9(f63(x13611),x13612,f22(f22(f6(f63(x13611)),x13613),x13614)),f9(f63(x13611),f9(f63(x13611),x13612,x13613),x13614))
% 15.75/15.78 [1376]~P1(x13761)+E(f22(f22(f28(x13761),f22(f22(f28(x13761),x13762),x13763)),x13764),f22(f22(f28(x13761),x13762),f22(f22(f6(a60),x13763),x13764)))
% 15.75/15.78 [1377]~P12(x13771)+E(f22(f22(f28(x13771),f22(f22(f28(x13771),x13772),x13773)),x13774),f22(f22(f28(x13771),x13772),f22(f22(f6(a60),x13773),x13774)))
% 15.75/15.78 [1385]~P1(x13851)+E(f22(f22(f6(x13851),f22(f22(f6(x13851),x13852),x13853)),x13854),f22(f22(f6(x13851),x13852),f22(f22(f6(x13851),x13853),x13854)))
% 15.75/15.78 [1386]~P14(x13861)+E(f22(f22(f6(x13861),f22(f22(f6(x13861),x13862),x13863)),x13864),f22(f22(f6(x13861),x13862),f22(f22(f6(x13861),x13863),x13864)))
% 15.75/15.78 [1517]~P1(x15171)+E(f22(f22(f6(x15171),f22(f22(f6(x15171),x15172),x15173)),x15174),f22(f22(f6(x15171),f22(f22(f6(x15171),x15172),x15174)),x15173))
% 15.75/15.78 [1611]~P1(x16111)+E(f22(f22(f6(x16111),f22(f22(f28(x16111),x16112),x16113)),f22(f22(f28(x16111),x16114),x16113)),f22(f22(f28(x16111),f22(f22(f6(x16111),x16112),x16114)),x16113))
% 15.75/15.78 [1612]~P13(x16121)+E(f22(f22(f6(x16121),f22(f22(f28(x16121),x16122),x16123)),f22(f22(f28(x16121),x16124),x16123)),f22(f22(f28(x16121),f22(f22(f6(x16121),x16122),x16124)),x16123))
% 15.75/15.78 [1653]~P46(x16531)+E(f12(f63(x16531),f22(f22(f6(f63(x16531)),x16532),x16533),f22(f22(f6(f63(x16531)),x16534),x16533)),f22(f22(f6(f63(x16531)),f12(f63(x16531),x16532,x16534)),x16533))
% 15.75/15.78 [1557]~P1(x15571)+E(f22(f17(x15571,f22(f22(f28(f63(x15571)),x15572),x15573)),x15574),f22(f22(f28(x15571),f22(f17(x15571,x15572),x15574)),x15573))
% 15.75/15.78 [1629]~P46(x16291)+E(f22(f22(f6(x16291),f22(f17(x16291,x16292),x16293)),f22(f17(x16291,x16294),x16293)),f22(f17(x16291,f22(f22(f6(f63(x16291)),x16292),x16294)),x16293))
% 15.75/15.78 [1784]~P32(x17841)+E(f22(f17(x17841,f22(f22(f6(f63(x17841)),f19(x17841,f7(x17841),x17842)),x17843)),x17844),f22(f22(f6(x17841),f22(f22(f28(x17841),x17844),x17842)),f22(f17(x17841,x17843),x17844)))
% 15.75/15.78 [1549]~P3(x15491)+E(f12(x15491,f8(x15491,x15492,x15493),f8(x15491,x15494,x15495)),f8(x15491,f12(x15491,x15492,x15494),f12(x15491,x15493,x15495)))
% 15.75/15.78 [1550]~P1(x15501)+E(f12(x15501,f12(x15501,x15502,x15503),f12(x15501,x15504,x15505)),f12(x15501,f12(x15501,x15502,x15504),f12(x15501,x15503,x15505)))
% 15.75/15.78 [1643]~P46(x16431)+E(f22(f22(f6(f63(x16431)),f19(x16431,x16432,x16433)),f19(x16431,x16434,x16435)),f19(x16431,f22(f22(f6(x16431),x16432),x16434),f12(a60,x16433,x16435)))
% 15.75/15.78 [1133]~P22(x11332)+E(f22(f8(f64(x11331,x11332),x11333,x11334),x11335),f8(x11332,f22(x11333,x11335),f22(x11334,x11335)))
% 15.75/15.78 [1558]~P3(x15581)+E(f20(x15581,f8(x15581,x15582,x15583),f8(f63(x15581),x15584,x15585)),f8(f63(x15581),f20(x15581,x15582,x15584),f20(x15581,x15583,x15585)))
% 15.75/15.78 [1559]~P16(x15591)+E(f20(x15591,f12(x15591,x15592,x15593),f12(f63(x15591),x15594,x15595)),f12(f63(x15591),f20(x15591,x15592,x15594),f20(x15591,x15593,x15595)))
% 15.75/15.78 [1668]~P1(x16681)+E(f22(f22(f6(x16681),f22(f22(f6(x16681),x16682),x16683)),f22(f22(f6(x16681),x16684),x16685)),f22(f22(f6(x16681),f22(f22(f6(x16681),x16682),x16684)),f22(f22(f6(x16681),x16683),x16685)))
% 15.75/15.78 [1751]~P49(x17511)+E(f12(x17511,f22(f22(f6(x17511),x17512),f8(x17511,x17513,x17514)),f22(f22(f6(x17511),f8(x17511,x17512,x17515)),x17514)),f8(x17511,f22(f22(f6(x17511),x17512),x17513),f22(f22(f6(x17511),x17515),x17514)))
% 15.75/15.78 [1840]~P42(x18401)+E(f12(x18401,f12(x18401,f22(f22(f6(x18401),f8(x18401,x18402,x18403)),f8(x18401,x18404,x18405)),f22(f22(f6(x18401),f8(x18401,x18402,x18403)),x18405)),f22(f22(f6(x18401),x18403),f8(x18401,x18404,x18405))),f8(x18401,f22(f22(f6(x18401),x18402),x18404),f22(f22(f6(x18401),x18403),x18405)))
% 15.75/15.78 [1731]~P71(x17311)+E(f12(x17311,f22(f22(f6(x17311),x17312),x17313),f12(x17311,f22(f22(f6(x17311),x17314),x17313),x17315)),f12(x17311,f22(f22(f6(x17311),f12(x17311,x17312,x17314)),x17313),x17315))
% 15.75/15.78 [1793]~P7(a60,x17931,x17934)+E(f8(a60,f12(a60,f22(f22(f6(a60),x17931),x17932),x17933),f12(a60,f22(f22(f6(a60),x17934),x17932),x17935)),f8(a60,x17933,f12(a60,f22(f22(f6(a60),f8(a60,x17934,x17931)),x17932),x17935)))
% 15.75/15.78 [1794]~P7(a60,x17944,x17941)+E(f8(a60,f12(a60,f22(f22(f6(a60),x17941),x17942),x17943),f12(a60,f22(f22(f6(a60),x17944),x17942),x17945)),f8(a60,f12(a60,f22(f22(f6(a60),f8(a60,x17941,x17944)),x17942),x17943),x17945))
% 15.75/15.78 [1853]~P2(x18535)+E(f22(f22(f22(x18531,x18532),x18533),f16(x18534,f30(x18533,f4(f63(x18535))),x18536,f27(x18534,x18535,x18536,x18531,x18533))),f27(x18534,x18535,x18536,x18531,f20(x18535,x18532,x18533)))
% 15.75/15.78 [771]E(x7711,f4(a61))+~P8(a61,f4(a61),x7711)+E(f13(a61,x7711),f7(a61))
% 15.75/15.78 [713]E(x7131,f4(a61))+P8(a61,f4(a61),x7131)+E(f13(a61,x7131),f5(a61,f7(a61)))
% 15.75/15.78 [1654]E(x16541,f4(a60))+E(x16541,f12(a60,f4(a60),f7(a60)))+~P8(a60,x16541,f12(a60,f12(a60,f4(a60),f7(a60)),f7(a60)))
% 15.75/15.78 [777]E(x7771,x7772)+P8(a60,x7772,x7771)+P8(a60,x7771,x7772)
% 15.75/15.78 [778]E(x7781,x7782)+P8(a61,x7782,x7781)+P8(a61,x7781,x7782)
% 15.75/15.78 [846]E(x8461,x8462)+P8(a60,x8461,x8462)+~P7(a60,x8461,x8462)
% 15.75/15.78 [847]E(x8471,x8472)+P8(a61,x8471,x8472)+~P7(a61,x8471,x8472)
% 15.75/15.78 [899]E(x8991,x8992)+~P7(a60,x8992,x8991)+~P7(a60,x8991,x8992)
% 15.75/15.78 [900]E(x9001,x9002)+~P7(a61,x9002,x9001)+~P7(a61,x9001,x9002)
% 15.75/15.78 [576]~P20(x5761)+~E(x5762,f4(x5761))+E(f5(x5761,x5762),x5762)
% 15.75/15.78 [581]~P21(x5811)+~E(f4(x5811),x5812)+E(f5(x5811,x5812),f4(x5811))
% 15.75/15.78 [582]~P21(x5821)+~E(x5822,f4(x5821))+E(f5(x5821,x5822),f4(x5821))
% 15.75/15.78 [583]~P54(x5831)+~E(x5832,f4(x5831))+E(f13(x5831,x5832),f4(x5831))
% 15.75/15.78 [584]~P43(x5841)+~E(x5842,f4(x5841))+E(f13(x5841,x5842),f4(x5841))
% 15.75/15.78 [585]~P31(x5851)+~E(x5852,f4(x5851))+E(f13(x5851,x5852),f4(x5851))
% 15.75/15.78 [588]~P20(x5882)+~E(f5(x5882,x5881),x5881)+E(x5881,f4(x5882))
% 15.75/15.78 [595]~P21(x5952)+~E(f5(x5952,x5951),f4(x5952))+E(x5951,f4(x5952))
% 15.75/15.78 [596]~P54(x5962)+~E(f13(x5962,x5961),f4(x5962))+E(x5961,f4(x5962))
% 15.75/15.78 [597]~P43(x5972)+~E(f13(x5972,x5971),f4(x5972))+E(x5971,f4(x5972))
% 15.75/15.78 [598]~P21(x5981)+~E(f5(x5981,x5982),f4(x5981))+E(f4(x5981),x5982)
% 15.75/15.78 [649]~E(x6492,f4(a60))+~E(x6491,f4(a60))+E(f12(a60,x6491,x6492),f4(a60))
% 15.75/15.78 [667]~P5(x6672)+E(f9(x6672,x6671,x6671),f7(x6672))+E(x6671,f4(x6672))
% 15.75/15.78 [682]~P20(x6821)+~E(x6822,f4(x6821))+E(f12(x6821,x6822,x6822),f4(x6821))
% 15.75/15.78 [738]~P54(x7381)+P8(x7381,f4(x7381),x7382)+~E(f13(x7381,x7382),f7(x7381))
% 15.75/15.78 [763]~P20(x7632)+~E(f12(x7632,x7631,x7631),f4(x7632))+E(x7631,f4(x7632))
% 15.75/15.78 [812]~P54(x8121)+~P8(x8121,f4(x8121),x8122)+E(f13(x8121,x8122),f7(x8121))
% 15.75/15.78 [908]E(x9081,x9082)+~E(f8(a60,x9082,x9081),f4(a60))+~E(f8(a60,x9081,x9082),f4(a60))
% 15.75/15.78 [939]~P54(x9391)+~P8(x9391,x9392,f4(x9391))+P8(x9391,x9392,f5(x9391,x9392))
% 15.75/15.78 [940]~P20(x9401)+~P7(x9401,x9402,f4(x9401))+P7(x9401,x9402,f5(x9401,x9402))
% 15.75/15.78 [941]~P20(x9411)+~P8(x9411,f4(x9411),x9412)+P8(x9411,f5(x9411,x9412),x9412)
% 15.75/15.78 [942]~P20(x9421)+~P7(x9421,f4(x9421),x9422)+P7(x9421,f5(x9421,x9422),x9422)
% 15.75/15.78 [949]~P24(x9491)+~P8(x9491,x9492,f4(x9491))+P8(x9491,f4(x9491),f5(x9491,x9492))
% 15.75/15.78 [950]~P24(x9501)+~P7(x9501,x9502,f4(x9501))+P7(x9501,f4(x9501),f5(x9501,x9502))
% 15.75/15.78 [951]~P54(x9511)+~P8(x9511,f4(x9511),x9512)+P8(x9511,f4(x9511),f13(x9511,x9512))
% 15.75/15.78 [952]~P54(x9521)+~P8(x9521,x9522,f4(x9521))+P8(x9521,f13(x9521,x9522),f4(x9521))
% 15.75/15.78 [953]~P24(x9531)+~P8(x9531,f4(x9531),x9532)+P8(x9531,f5(x9531,x9532),f4(x9531))
% 15.75/15.78 [954]~P24(x9541)+~P7(x9541,f4(x9541),x9542)+P7(x9541,f5(x9541,x9542),f4(x9541))
% 15.75/15.78 [957]~P54(x9571)+~P8(x9571,x9572,f5(x9571,x9572))+P8(x9571,x9572,f4(x9571))
% 15.75/15.78 [958]~P20(x9581)+~P7(x9581,x9582,f5(x9581,x9582))+P7(x9581,x9582,f4(x9581))
% 15.75/15.78 [959]~P20(x9591)+~P8(x9591,f5(x9591,x9592),x9592)+P8(x9591,f4(x9591),x9592)
% 15.75/15.78 [960]~P20(x9601)+~P7(x9601,f5(x9601,x9602),x9602)+P7(x9601,f4(x9601),x9602)
% 15.75/15.78 [979]~P24(x9791)+~P8(x9791,f4(x9791),f5(x9791,x9792))+P8(x9791,x9792,f4(x9791))
% 15.75/15.78 [980]~P24(x9801)+~P7(x9801,f4(x9801),f5(x9801,x9802))+P7(x9801,x9802,f4(x9801))
% 15.75/15.78 [981]~P54(x9811)+~P8(x9811,f13(x9811,x9812),f4(x9811))+P8(x9811,x9812,f4(x9811))
% 15.75/15.78 [982]~P54(x9821)+~P8(x9821,f4(x9821),f13(x9821,x9822))+P8(x9821,f4(x9821),x9822)
% 15.75/15.78 [983]~P24(x9831)+~P8(x9831,f5(x9831,x9832),f4(x9831))+P8(x9831,f4(x9831),x9832)
% 15.75/15.78 [984]~P24(x9841)+~P7(x9841,f5(x9841,x9842),f4(x9841))+P7(x9841,f4(x9841),x9842)
% 15.75/15.78 [1025]~P8(a61,x10252,x10251)+~P7(a61,x10251,f4(a61))+E(f9(a61,x10251,x10252),f4(a61))
% 15.75/15.78 [1028]~P8(a61,x10281,x10282)+~P7(a61,f4(a61),x10281)+E(f9(a61,x10281,x10282),f4(a61))
% 15.75/15.78 [1106]~P7(a61,f4(a61),x11062)+~P7(a61,f4(a61),x11061)+P7(a61,f4(a61),f15(x11061,x11062))
% 15.75/15.78 [1119]~P20(x11191)+~P8(x11191,f4(x11191),x11192)+P8(x11191,f4(x11191),f12(x11191,x11192,x11192))
% 15.75/15.78 [1120]~P20(x11201)+~P7(x11201,f4(x11201),x11202)+P7(x11201,f4(x11201),f12(x11201,x11202,x11202))
% 15.75/15.78 [1121]~P54(x11211)+~P8(x11211,x11212,f4(x11211))+P8(x11211,f12(x11211,x11212,x11212),f4(x11211))
% 15.75/15.78 [1122]~P20(x11221)+~P8(x11221,x11222,f4(x11221))+P8(x11221,f12(x11221,x11222,x11222),f4(x11221))
% 15.75/15.78 [1123]~P20(x11231)+~P7(x11231,x11232,f4(x11231))+P7(x11231,f12(x11231,x11232,x11232),f4(x11231))
% 15.75/15.78 [1235]~P54(x12351)+~P8(x12351,f12(x12351,x12352,x12352),f4(x12351))+P8(x12351,x12352,f4(x12351))
% 15.75/15.78 [1236]~P20(x12361)+~P8(x12361,f12(x12361,x12362,x12362),f4(x12361))+P8(x12361,x12362,f4(x12361))
% 15.75/15.78 [1237]~P20(x12371)+~P7(x12371,f12(x12371,x12372,x12372),f4(x12371))+P7(x12371,x12372,f4(x12371))
% 15.75/15.78 [1238]~P20(x12381)+~P8(x12381,f4(x12381),f12(x12381,x12382,x12382))+P8(x12381,f4(x12381),x12382)
% 15.75/15.78 [1239]~P20(x12391)+~P7(x12391,f4(x12391),f12(x12391,x12392,x12392))+P7(x12391,f4(x12391),x12392)
% 15.75/15.78 [1242]~P7(a61,x12422,x12421)+~P8(a61,f4(a61),x12422)+P8(a61,f4(a61),f9(a61,x12421,x12422))
% 15.75/15.78 [1244]P8(a60,f8(a60,x12441,x12442),x12441)+~P8(a60,f4(a60),x12441)+~P8(a60,f4(a60),x12442)
% 15.75/15.78 [1245]P8(a60,f9(a60,x12451,x12452),x12451)+~P8(a60,f4(a60),x12451)+~P8(a60,f7(a60),x12452)
% 15.75/15.78 [1246]P8(a61,f9(a61,x12461,x12462),x12461)+~P8(a61,f4(a61),x12461)+~P8(a61,f7(a61),x12462)
% 15.75/15.78 [1251]~P8(a61,x12512,f4(a61))+~P7(a61,x12511,f4(a61))+P7(a61,f4(a61),f9(a61,x12511,x12512))
% 15.75/15.78 [1252]~P7(a61,f4(a61),x12522)+~P7(a61,f4(a61),x12521)+P7(a61,f4(a61),f12(a61,x12521,x12522))
% 15.75/15.78 [1253]~P8(a61,f4(a61),x12532)+~P7(a61,f4(a61),x12531)+P7(a61,f4(a61),f9(a61,x12531,x12532))
% 15.75/15.78 [1254]~P7(a61,f4(a61),x12542)+~P7(a61,f4(a61),x12541)+P7(a61,f4(a61),f9(a61,x12541,x12542))
% 15.75/15.78 [1255]~P8(a61,x12552,f4(a61))+~P8(a61,f4(a61),x12551)+P8(a61,f9(a61,x12551,x12552),f4(a61))
% 15.75/15.78 [1257]~P8(a61,x12571,f4(a61))+~P8(a61,f4(a61),x12572)+P8(a61,f9(a61,x12571,x12572),f4(a61))
% 15.75/15.78 [1258]~P8(a61,x12582,f4(a61))+~P7(a61,f4(a61),x12581)+P7(a61,f9(a61,x12581,x12582),f4(a61))
% 15.75/15.78 [1259]~P7(a61,x12591,f4(a61))+~P8(a61,f4(a61),x12592)+P7(a61,f9(a61,x12591,x12592),f4(a61))
% 15.75/15.78 [1314]P8(a60,f4(a60),x13141)+P8(a60,f4(a60),x13142)+~P8(a60,f4(a60),f12(a60,x13142,x13141))
% 15.75/15.78 [1349]P7(a61,x13491,x13492)+~P8(a61,f4(a61),x13491)+~P8(a61,f4(a61),f9(a61,x13492,x13491))
% 15.75/15.78 [1350]P7(a61,x13501,x13502)+~P7(a61,f4(a61),x13502)+~P8(a61,f4(a61),f9(a61,x13502,x13501))
% 15.75/15.78 [1351]P7(a61,x13511,f4(a61))+~P8(a61,x13512,f4(a61))+~P7(a61,f4(a61),f9(a61,x13511,x13512))
% 15.75/15.78 [1352]P8(a61,x13521,f4(a61))+~P8(a61,f4(a61),x13522)+~P8(a61,f9(a61,x13521,x13522),f4(a61))
% 15.75/15.78 [1353]P8(a61,f4(a61),x13531)+~P8(a61,x13532,f4(a61))+~P8(a61,f9(a61,x13531,x13532),f4(a61))
% 15.75/15.78 [1354]P8(a61,f4(a61),x13541)+~P7(a61,f4(a61),x13542)+~P8(a61,f4(a61),f9(a61,x13542,x13541))
% 15.75/15.78 [1355]P7(a61,f4(a61),x13551)+~P8(a61,f4(a61),x13552)+~P7(a61,f4(a61),f9(a61,x13551,x13552))
% 15.75/15.78 [600]~P2(x6001)+E(f10(x6001,x6002),f4(a60))+~E(x6002,f4(f63(x6001)))
% 15.75/15.78 [603]~P2(x6032)+~E(f10(x6032,x6031),f4(a60))+E(x6031,f4(f63(x6032)))
% 15.75/15.78 [618]~P54(x6181)+~E(x6182,f4(f63(x6181)))+E(f13(f63(x6181),x6182),f4(f63(x6181)))
% 15.75/15.78 [735]~P2(x7351)+~E(x7352,f4(f63(x7351)))+E(f22(f14(x7351,x7352),f3(x7351,x7352)),f4(x7351))
% 15.75/15.78 [787]~P2(x7872)+E(x7871,f4(f63(x7872)))+E(f12(a60,f3(x7872,x7871),f7(a60)),f10(x7872,x7871))
% 15.75/15.78 [813]~P54(x8131)+P8(x8131,x8132,f4(x8131))+~E(f13(x8131,x8132),f5(x8131,f7(x8131)))
% 15.75/15.78 [823]~P2(x8232)+~E(f22(f14(x8232,x8231),f3(x8232,x8231)),f4(x8232))+E(x8231,f4(f63(x8232)))
% 15.75/15.78 [835]~P54(x8351)+~P8(x8351,x8352,f4(x8351))+E(f13(x8351,x8352),f5(x8351,f7(x8351)))
% 15.75/15.78 [886]P8(a60,f43(x8862,x8861),x8862)+~P73(f22(x8861,x8862))+P73(f22(x8861,f4(a60)))
% 15.75/15.78 [937]E(x9371,f4(a60))+E(x9372,f4(a60))+~E(f12(a60,x9372,x9371),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [938]E(x9381,f4(a60))+E(x9382,f4(a60))+~E(f12(a60,f4(a60),f7(a60)),f12(a60,x9382,x9381))
% 15.75/15.78 [987]~E(x9872,f4(a60))+~E(x9871,f12(a60,f4(a60),f7(a60)))+E(f12(a60,x9871,x9872),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [988]~E(x9881,f4(a60))+~E(x9882,f12(a60,f4(a60),f7(a60)))+E(f12(a60,x9881,x9882),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [989]~E(x9892,f4(a60))+~E(x9891,f12(a60,f4(a60),f7(a60)))+E(f12(a60,f4(a60),f7(a60)),f12(a60,x9891,x9892))
% 15.75/15.78 [990]~E(x9901,f4(a60))+~E(x9902,f12(a60,f4(a60),f7(a60)))+E(f12(a60,f4(a60),f7(a60)),f12(a60,x9901,x9902))
% 15.75/15.78 [1009]~P54(x10091)+~P9(x10091,x10092)+P8(x10091,f4(x10091),f22(f14(x10091,x10092),f3(x10091,x10092)))
% 15.75/15.78 [1053]E(x10531,f4(a60))+E(x10531,f12(a60,f4(a60),f7(a60)))+~E(f12(a60,x10532,x10531),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1054]E(x10541,f4(a60))+E(x10541,f12(a60,f4(a60),f7(a60)))+~E(f12(a60,x10541,x10542),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1055]E(x10551,f4(a60))+E(x10551,f12(a60,f4(a60),f7(a60)))+~E(f12(a60,f4(a60),f7(a60)),f12(a60,x10552,x10551))
% 15.75/15.78 [1056]E(x10561,f4(a60))+E(x10561,f12(a60,f4(a60),f7(a60)))+~E(f12(a60,f4(a60),f7(a60)),f12(a60,x10561,x10562))
% 15.75/15.78 [1152]E(x11521,f12(a60,f4(a60),f7(a60)))+E(x11522,f12(a60,f4(a60),f7(a60)))+~E(f12(a60,x11521,x11522),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1153]E(x11531,f12(a60,f4(a60),f7(a60)))+E(x11532,f12(a60,f4(a60),f7(a60)))+~E(f12(a60,f4(a60),f7(a60)),f12(a60,x11531,x11532))
% 15.75/15.78 [1174]~P8(a60,x11741,x11742)+P8(a60,f12(a60,x11741,f7(a60)),x11742)+E(f12(a60,x11741,f7(a60)),x11742)
% 15.75/15.78 [1190]E(x11901,x11902)+P8(a60,x11901,x11902)+~P8(a60,x11901,f12(a60,x11902,f7(a60)))
% 15.75/15.78 [1191]E(x11911,x11912)+P8(a61,x11911,x11912)+~P8(a61,x11911,f12(a61,x11912,f7(a61)))
% 15.75/15.78 [1211]~P54(x12111)+P9(x12111,x12112)+~P8(x12111,f4(x12111),f22(f14(x12111,x12112),f3(x12111,x12112)))
% 15.75/15.78 [1261]P8(a60,f55(x12612,x12611),x12612)+E(x12611,f4(a60))+~P8(a60,x12611,f12(a60,x12612,f7(a60)))
% 15.75/15.78 [1266]E(x12661,x12662)+~P7(a60,x12662,x12661)+~P8(a60,x12661,f12(a60,x12662,f7(a60)))
% 15.75/15.78 [1267]E(x12671,f4(a60))+~P8(a60,x12671,f12(a60,x12672,f7(a60)))+E(f12(a60,f55(x12672,x12671),f7(a60)),x12671)
% 15.75/15.78 [1324]P7(a60,x13241,x13242)+~P7(a60,x13241,f12(a60,x13242,f7(a60)))+E(x13241,f12(a60,x13242,f7(a60)))
% 15.75/15.78 [1561]P8(a60,x15611,x15612)+~P8(a60,f4(a60),x15612)+E(f12(a60,f9(a60,f8(a60,x15611,x15612),x15612),f7(a60)),f9(a60,x15611,x15612))
% 15.75/15.78 [1599]~P7(a60,x15992,x15991)+~P8(a60,f4(a60),x15992)+E(f12(a60,f9(a60,f8(a60,x15991,x15992),x15992),f7(a60)),f9(a60,x15991,x15992))
% 15.75/15.78 [631]~E(x6312,f7(a60))+~E(x6311,f7(a60))+E(f22(f22(f6(a60),x6311),x6312),f7(a60))
% 15.75/15.78 [674]~P48(x6741)+~E(x6742,f7(x6741))+E(f22(f22(f6(x6741),x6742),x6742),f7(x6741))
% 15.75/15.78 [696]E(x6961,f7(a60))+E(x6962,f4(a60))+~E(f22(f22(f6(a60),x6962),x6961),x6962)
% 15.75/15.78 [697]E(x6971,f4(a60))+E(x6972,f4(a60))+~E(f22(f22(f6(a60),x6972),x6971),f4(a60))
% 15.75/15.78 [746]~P48(x7461)+~E(x7462,f5(x7461,f7(x7461)))+E(f22(f22(f6(x7461),x7462),x7462),f7(x7461))
% 15.75/15.78 [895]E(x8951,f7(a61))+~P8(a61,f4(a61),x8952)+~E(f22(f22(f6(a61),x8952),x8951),f7(a61))
% 15.75/15.78 [896]E(x8961,f7(a61))+~P8(a61,f4(a61),x8961)+~E(f22(f22(f6(a61),x8961),x8962),f7(a61))
% 15.75/15.78 [956]~P33(x9561)+~P70(x9561)+E(f22(f22(f28(x9561),f4(x9561)),f12(a60,x9562,f7(a60))),f4(x9561))
% 15.75/15.78 [1007]~P1(x10072)+E(x10071,f4(x10072))+~P73(f22(f22(f23(x10072),f4(x10072)),x10071))
% 15.75/15.78 [1029]E(x10291,f4(a60))+E(x10292,f12(a60,f4(a60),f7(a60)))+~E(f22(f22(f28(a60),x10292),x10291),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1142]E(x11421,f4(a60))+P8(a60,f4(a60),x11422)+~P8(a60,f4(a60),f22(f22(f28(a60),x11422),x11421))
% 15.75/15.78 [1143]P7(a60,x11431,x11432)+~P8(a60,f4(a60),x11432)+~P73(f22(f22(f23(a60),x11431),x11432))
% 15.75/15.78 [1144]P7(a61,x11441,x11442)+~P8(a61,f4(a61),x11442)+~P73(f22(f22(f23(a61),x11441),x11442))
% 15.75/15.78 [1146]P8(a60,f4(a60),x11461)+~P8(a60,f4(a60),x11462)+~P73(f22(f22(f23(a60),x11461),x11462))
% 15.75/15.78 [1147]~E(x11472,f12(a60,f4(a60),f7(a60)))+~E(x11471,f12(a60,f4(a60),f7(a60)))+E(f22(f22(f6(a60),x11471),x11472),f12(a60,f4(a60),f7(a60)))
% 15.75/15.78 [1162]E(x11621,x11622)+~P73(f22(f22(f23(a60),x11622),x11621))+~P73(f22(f22(f23(a60),x11621),x11622))
% 15.75/15.78 [1209]~P8(a60,x12091,x12092)+~P8(a60,f4(a60),x12091)+~P73(f22(f22(f23(a60),x12092),x12091))
% 15.75/15.78 [1210]~P8(a61,x12101,x12102)+~P8(a61,f4(a61),x12101)+~P73(f22(f22(f23(a61),x12102),x12101))
% 15.75/15.78 [1216]~P8(a60,f4(a60),x12162)+~P8(a60,f4(a60),x12161)+P8(a60,f4(a60),f22(f22(f6(a60),x12161),x12162))
% 15.75/15.78 [1217]~P7(a61,f4(a61),x12172)+~P7(a61,f4(a61),x12171)+P7(a61,f4(a61),f22(f22(f6(a61),x12171),x12172))
% 15.75/15.78 [1419]~P73(f22(x14191,x14192))+P73(f22(x14191,f4(a60)))+P73(f22(x14191,f12(a60,f43(x14192,x14191),f7(a60))))
% 15.75/15.78 [1646]~P8(a60,f12(a60,f4(a60),f7(a60)),x16462)+~P8(a60,f12(a60,f4(a60),f7(a60)),x16461)+P8(a60,x16461,f22(f22(f6(a60),x16462),x16461))
% 15.75/15.78 [1647]~P8(a60,f12(a60,f4(a60),f7(a60)),x16472)+~P8(a60,f12(a60,f4(a60),f7(a60)),x16471)+P8(a60,x16471,f22(f22(f6(a60),x16471),x16472))
% 15.75/15.78 [1689]~P8(a60,f12(a60,f4(a60),f7(a60)),x16891)+~P8(a60,f12(a60,f4(a60),f7(a60)),x16892)+P8(a60,f12(a60,f4(a60),f7(a60)),f22(f22(f6(a60),x16891),x16892))
% 15.75/15.78 [1690]~P7(a60,f12(a60,f4(a60),f7(a60)),x16902)+~P7(a60,f12(a60,f4(a60),f7(a60)),x16901)+P7(a60,f12(a60,f4(a60),f7(a60)),f22(f22(f6(a60),x16901),x16902))
% 15.75/15.78 [728]~P1(x7282)+E(x7281,f4(a60))+E(f22(f14(x7282,f7(f63(x7282))),x7281),f4(x7282))
% 15.75/15.78 [731]~P1(x7311)+~E(x7312,f4(a60))+E(f22(f14(x7311,f7(f63(x7311))),x7312),f7(x7311))
% 15.75/15.78 [1658]~P8(a60,f4(a60),x16582)+~P8(a61,f4(a61),x16581)+E(f9(a61,f22(f22(f28(a61),x16581),x16582),x16581),f22(f22(f28(a61),x16581),f8(a60,x16582,f12(a60,f4(a60),f7(a60)))))
% 15.75/15.78 [1553]~E(x15532,f7(a60))+~P8(a60,f4(a60),x15531)+P73(f22(f22(f23(a60),f22(f22(f6(a60),x15531),x15532)),x15531))
% 15.75/15.78 [1554]~E(x15541,f7(a60))+~P8(a60,f4(a60),x15542)+P73(f22(f22(f23(a60),f22(f22(f6(a60),x15541),x15542)),x15542))
% 15.75/15.78 [1693]E(x16931,f7(a60))+~P8(a60,f4(a60),x16932)+~P73(f22(f22(f23(a60),f22(f22(f6(a60),x16932),x16931)),x16932))
% 15.75/15.78 [1694]E(x16941,f7(a60))+~P8(a60,f4(a60),x16942)+~P73(f22(f22(f23(a60),f22(f22(f6(a60),x16941),x16942)),x16942))
% 15.75/15.78 [640]~E(x6402,x6403)+~P35(x6401)+P7(x6401,x6402,x6403)
% 15.75/15.78 [642]~E(x6422,x6423)+~P40(x6421)+P7(x6421,x6422,x6423)
% 15.75/15.78 [744]~P8(x7443,x7441,x7442)+~E(x7441,x7442)+~P36(x7443)
% 15.75/15.78 [745]~P8(x7453,x7451,x7452)+~E(x7451,x7452)+~P40(x7453)
% 15.75/15.78 [797]P7(x7971,x7973,x7972)+~P36(x7971)+P8(x7971,x7972,x7973)
% 15.75/15.78 [799]P7(x7991,x7993,x7992)+~P36(x7991)+P7(x7991,x7992,x7993)
% 15.75/15.78 [857]~P35(x8571)+~P8(x8571,x8572,x8573)+P7(x8571,x8572,x8573)
% 15.75/15.78 [859]~P40(x8591)+~P8(x8591,x8592,x8593)+P7(x8591,x8592,x8593)
% 15.75/15.78 [915]~P8(x9151,x9153,x9152)+~P35(x9151)+~P8(x9151,x9152,x9153)
% 15.75/15.78 [916]~P7(x9161,x9163,x9162)+~P35(x9161)+~P8(x9161,x9162,x9163)
% 15.75/15.78 [917]~P8(x9171,x9173,x9172)+~P36(x9171)+~P8(x9171,x9172,x9173)
% 15.75/15.78 [920]~P7(x9201,x9203,x9202)+~P36(x9201)+~P8(x9201,x9202,x9203)
% 15.75/15.78 [921]~P8(x9211,x9213,x9212)+~P40(x9211)+~P8(x9211,x9212,x9213)
% 15.75/15.78 [1010]~P7(a60,x10101,x10103)+P7(a60,x10101,x10102)+~P7(a60,x10103,x10102)
% 15.75/15.78 [1011]~P7(a61,x10111,x10113)+P7(a61,x10111,x10112)+~P7(a61,x10113,x10112)
% 15.75/15.78 [605]~P21(x6052)+~E(x6053,f5(x6052,x6051))+E(x6051,f5(x6052,x6053))
% 15.75/15.78 [607]~P21(x6071)+~E(f5(x6071,x6073),x6072)+E(f5(x6071,x6072),x6073)
% 15.75/15.78 [611]~P21(x6113)+E(x6111,x6112)+~E(f5(x6113,x6111),f5(x6113,x6112))
% 15.75/15.78 [612]~P37(x6123)+E(x6121,x6122)+~E(f5(x6123,x6121),f5(x6123,x6122))
% 15.75/15.78 [613]~P2(x6133)+E(x6131,x6132)+~E(f14(x6133,x6131),f14(x6133,x6132))
% 15.75/15.78 [659]~E(x6592,x6593)+~P3(x6591)+E(f8(x6591,x6592,x6593),f4(x6591))
% 15.75/15.78 [660]~E(x6602,x6603)+~P21(x6601)+E(f8(x6601,x6602,x6603),f4(x6601))
% 15.75/15.78 [668]~P72(x6681)+~E(x6683,f4(x6681))+E(f12(x6681,x6682,x6683),x6682)
% 15.75/15.78 [669]~E(x6692,x6693)+~P54(x6691)+P7(f63(x6691),x6692,x6693)
% 15.75/15.78 [716]~P21(x7161)+~E(x7163,f5(x7161,x7162))+E(f12(x7161,x7162,x7163),f4(x7161))
% 15.75/15.78 [717]~P21(x7171)+~E(x7172,f5(x7171,x7173))+E(f12(x7171,x7172,x7173),f4(x7171))
% 15.75/15.78 [758]~P72(x7582)+~E(f12(x7582,x7583,x7581),x7583)+E(x7581,f4(x7582))
% 15.75/15.78 [760]~P3(x7603)+E(x7601,x7602)+~E(f8(x7603,x7601,x7602),f4(x7603))
% 15.75/15.78 [761]~P21(x7613)+E(x7611,x7612)+~E(f8(x7613,x7611,x7612),f4(x7613))
% 15.75/15.78 [788]~P21(x7882)+~E(f12(x7882,x7883,x7881),f4(x7882))+E(x7881,f5(x7882,x7883))
% 15.75/15.78 [789]~P21(x7892)+~E(f12(x7892,x7891,x7893),f4(x7892))+E(x7891,f5(x7892,x7893))
% 15.75/15.78 [790]~P21(x7901)+~E(f12(x7901,x7902,x7903),f4(x7901))+E(f5(x7901,x7902),x7903)
% 15.75/15.78 [877]~P54(x8771)+~P9(x8771,x8773)+P9(x8771,f20(x8771,x8772,x8773))
% 15.75/15.78 [966]~P24(x9661)+~P8(x9661,x9663,x9662)+P8(x9661,f5(x9661,x9662),f5(x9661,x9663))
% 15.75/15.78 [968]~P24(x9681)+~P7(x9681,x9683,x9682)+P7(x9681,f5(x9681,x9682),f5(x9681,x9683))
% 15.75/15.78 [970]~P37(x9701)+~P7(x9701,x9703,x9702)+P7(x9701,f5(x9701,x9702),f5(x9701,x9703))
% 15.75/15.78 [994]~P24(x9941)+~P8(x9941,x9943,f5(x9941,x9942))+P8(x9941,x9942,f5(x9941,x9943))
% 15.75/15.78 [996]~P24(x9961)+~P7(x9961,x9963,f5(x9961,x9962))+P7(x9961,x9962,f5(x9961,x9963))
% 15.75/15.78 [998]~P24(x9981)+~P8(x9981,f5(x9981,x9983),x9982)+P8(x9981,f5(x9981,x9982),x9983)
% 15.75/15.78 [1000]~P24(x10001)+~P7(x10001,f5(x10001,x10003),x10002)+P7(x10001,f5(x10001,x10002),x10003)
% 15.75/15.78 [1015]~P7(a60,x10153,x10151)+~E(f8(a60,x10151,x10153),x10152)+E(x10151,f12(a60,x10152,x10153))
% 15.75/15.78 [1016]~P7(a60,x10162,x10161)+~E(x10161,f12(a60,x10163,x10162))+E(f8(a60,x10161,x10162),x10163)
% 15.75/15.78 [1030]~P24(x10301)+P8(x10301,x10302,x10303)+~P8(x10301,f5(x10301,x10303),f5(x10301,x10302))
% 15.75/15.78 [1031]~P24(x10311)+P7(x10311,x10312,x10313)+~P7(x10311,f5(x10311,x10313),f5(x10311,x10312))
% 15.75/15.78 [1032]~P37(x10321)+P7(x10321,x10322,x10323)+~P7(x10321,f5(x10321,x10323),f5(x10321,x10322))
% 15.75/15.78 [1079]~P2(x10791)+P8(a60,x10793,f34(x10792,x10793,x10791))+P7(a60,f3(x10791,x10792),x10793)
% 15.75/15.78 [1107]~P24(x11071)+~P8(x11071,x11072,x11073)+P8(x11071,f8(x11071,x11072,x11073),f4(x11071))
% 15.75/15.78 [1108]~P24(x11081)+~P7(x11081,x11082,x11083)+P7(x11081,f8(x11081,x11082,x11083),f4(x11081))
% 15.75/15.78 [1219]~P24(x12191)+P8(x12191,x12192,x12193)+~P8(x12191,f8(x12191,x12192,x12193),f4(x12191))
% 15.75/15.78 [1220]~P24(x12201)+P7(x12201,x12202,x12203)+~P7(x12201,f8(x12201,x12202,x12203),f4(x12201))
% 15.75/15.78 [1405]~P8(a60,x14053,x14051)+~P8(a60,x14053,x14052)+P8(a60,f8(a60,x14051,x14052),f8(a60,x14051,x14053))
% 15.75/15.78 [1406]~P8(a60,x14061,x14063)+~P7(a60,x14062,x14061)+P8(a60,f8(a60,x14061,x14062),f8(a60,x14063,x14062))
% 15.75/15.78 [1412]~P7(a61,x14123,x14121)+P7(a61,f9(a61,x14121,x14122),f9(a61,x14123,x14122))+~P8(a61,x14122,f4(a61))
% 15.75/15.78 [1413]~P7(a60,x14133,x14132)+P7(a60,f9(a60,x14131,x14132),f9(a60,x14131,x14133))+~P8(a60,f4(a60),x14133)
% 15.75/15.78 [1414]~P7(a61,x14141,x14143)+P7(a61,f9(a61,x14141,x14142),f9(a61,x14143,x14142))+~P8(a61,f4(a61),x14142)
% 15.75/15.78 [1493]~P7(a60,x14933,x14932)+~P7(a60,f12(a60,x14931,x14933),x14932)+P7(a60,x14931,f8(a60,x14932,x14933))
% 15.75/15.78 [1494]~P7(a60,x14942,x14943)+~P7(a60,x14941,f8(a60,x14943,x14942))+P7(a60,f12(a60,x14941,x14942),x14943)
% 15.75/15.78 [658]~P51(x6581)+~E(x6582,f4(f63(x6581)))+E(f22(f17(x6581,x6582),x6583),f4(x6581))
% 15.75/15.78 [690]~P2(x6901)+~E(x6902,f4(x6901))+E(f19(x6901,x6902,x6903),f4(f63(x6901)))
% 15.75/15.78 [755]~P46(x7551)+~E(f3(x7551,x7552),f4(a60))+E(f26(x7551,x7552,x7553),f4(f63(x7551)))
% 15.75/15.78 [775]~P51(x7751)+E(f18(x7751,x7752,x7753),f4(a60))+E(f22(f17(x7751,x7753),x7752),f4(x7751))
% 15.75/15.78 [785]~P2(x7852)+E(x7851,f4(x7852))+~E(f19(x7852,x7851,x7853),f4(f63(x7852)))
% 15.75/15.78 [786]~P2(x7862)+E(x7861,f4(x7862))+~E(f20(x7862,x7861,x7863),f4(f63(x7862)))
% 15.75/15.78 [807]~P2(x8072)+~E(f20(x8072,x8073,x8071),f4(f63(x8072)))+E(x8071,f4(f63(x8072)))
% 15.75/15.78 [808]~P4(x8082)+~E(f25(x8082,x8083,x8081),f4(f63(x8082)))+E(x8081,f4(f63(x8082)))
% 15.75/15.78 [809]~P4(x8092)+~E(f25(x8092,x8091,x8093),f4(f63(x8092)))+E(x8091,f4(f63(x8092)))
% 15.75/15.78 [817]~P46(x8171)+E(f3(x8171,x8172),f4(a60))+~E(f26(x8171,x8172,x8173),f4(f63(x8171)))
% 15.75/15.78 [821]~P74(x8211,x8212,x8213)+~E(x8212,f4(a61))+P73(f22(x8211,f4(a61)))
% 15.75/15.78 [825]~P2(x8251)+P7(a60,x8253,f3(x8251,x8252))+E(f22(f14(x8251,x8252),x8253),f4(x8251))
% 15.75/15.78 [826]~P2(x8262)+E(x8261,f4(x8262))+E(f3(x8262,f19(x8262,x8261,x8263)),x8263)
% 15.75/15.78 [860]~P2(x8601)+~E(x8603,f4(f63(x8601)))+E(f3(x8601,f20(x8601,x8602,x8603)),f4(a60))
% 15.75/15.78 [907]~P2(x9071)+~P8(a60,f3(x9071,x9072),x9073)+E(f22(f14(x9071,x9072),x9073),f4(x9071))
% 15.75/15.78 [978]~P51(x9782)+P7(a60,f18(x9782,x9783,x9781),f3(x9782,x9781))+E(x9781,f4(f63(x9782)))
% 15.75/15.78 [1014]~P2(x10142)+E(x10141,f4(f63(x10142)))+E(f3(x10142,f20(x10142,x10143,x10141)),f12(a60,f3(x10142,x10141),f7(a60)))
% 15.75/15.78 [1051]~P54(x10511)+~P8(f63(x10511),x10513,x10512)+P9(x10511,f8(f63(x10511),x10512,x10513))
% 15.75/15.78 [1074]~P4(x10741)+~P8(a60,f3(x10741,x10742),f3(x10741,x10743))+E(f9(f63(x10741),x10742,x10743),f4(f63(x10741)))
% 15.75/15.78 [1128]~P54(x11281)+P8(f63(x11281),x11282,x11283)+~P9(x11281,f8(f63(x11281),x11283,x11282))
% 15.75/15.78 [1129]~P54(x11291)+P7(f63(x11291),x11292,x11293)+~P9(x11291,f8(f63(x11291),x11293,x11292))
% 15.75/15.78 [1172]~E(x11723,f4(a60))+P73(f22(x11721,f9(a60,x11722,x11723)))+~P73(f22(x11721,f4(a60)))
% 15.75/15.78 [1215]~P2(x12151)+P7(a60,f3(x12151,x12152),x12153)+~E(f22(f14(x12151,x12152),f34(x12152,x12153,x12151)),f4(x12151))
% 15.75/15.78 [1234]~P8(a60,x12341,x12343)+~P8(a60,x12343,x12342)+P8(a60,f12(a60,x12341,f7(a60)),x12342)
% 15.75/15.78 [1250]~P8(a60,x12503,x12502)+P8(a60,x12501,f12(a60,x12502,f7(a60)))+~E(x12501,f12(a60,x12503,f7(a60)))
% 15.75/15.78 [1264]~P5(x12642)+E(x12641,f4(x12642))+E(f9(x12642,f12(x12642,x12643,x12641),x12641),f12(x12642,f9(x12642,x12643,x12641),f7(x12642)))
% 15.75/15.78 [1265]~P5(x12652)+E(x12651,f4(x12652))+E(f9(x12652,f12(x12652,x12651,x12653),x12651),f12(x12652,f9(x12652,x12653,x12651),f7(x12652)))
% 15.75/15.78 [1363]P8(a60,f40(x13631,x13632,x13633),x13631)+E(x13631,f4(a60))+P73(f22(x13633,f9(a60,x13632,x13631)))
% 15.75/15.78 [1383]~E(x13832,f4(a60))+~P73(f22(x13831,f9(a60,x13833,x13832)))+P73(f22(x13831,f4(a60)))
% 15.75/15.78 [1457]P8(a60,x14572,x14571)+E(f12(a60,x14571,f38(x14571,x14572,x14573)),x14572)+P73(f22(x14573,f8(a60,x14572,x14571)))
% 15.75/15.78 [1458]P8(a60,x14582,x14581)+E(f12(a60,x14581,f39(x14581,x14582,x14583)),x14582)+P73(f22(x14583,f8(a60,x14582,x14581)))
% 15.75/15.78 [1463]P8(a60,f40(x14631,x14632,x14633),x14631)+P73(f22(x14633,f9(a60,x14632,x14631)))+~P73(f22(x14633,f4(a60)))
% 15.75/15.78 [1464]E(f12(a60,x14641,f38(x14641,x14642,x14643)),x14642)+P73(f22(x14643,f8(a60,x14642,x14641)))+~P73(f22(x14643,f4(a60)))
% 15.75/15.78 [1465]E(f12(a60,x14651,f39(x14651,x14652,x14653)),x14652)+P73(f22(x14653,f8(a60,x14652,x14651)))+~P73(f22(x14653,f4(a60)))
% 15.75/15.78 [1473]~P2(x14733)+E(x14731,x14732)+~E(f22(f14(x14733,x14731),f57(x14732,x14731,x14733)),f22(f14(x14733,x14732),f57(x14732,x14731,x14733)))
% 15.75/15.78 [1475]~P7(a60,x14752,x14753)+~P7(a60,x14752,x14751)+E(f8(a60,f8(a60,x14751,x14752),f8(a60,x14753,x14752)),f8(a60,x14751,x14753))
% 15.75/15.78 [1499]~P8(a60,x14992,x14993)+~P73(f22(x14991,f8(a60,x14992,x14993)))+P73(f22(x14991,f4(a60)))
% 15.75/15.78 [1610]E(x16101,f4(a60))+P73(f22(x16102,f44(x16101,x16103,x16102)))+~P73(f22(x16102,f9(a60,x16103,x16101)))
% 15.75/15.78 [1613]E(x16131,f4(a60))+~P73(f22(x16132,f41(x16131,x16133,x16132)))+P73(f22(x16132,f9(a60,x16133,x16131)))
% 15.75/15.78 [1635]P73(f22(x16351,f44(x16352,x16353,x16351)))+~P73(f22(x16351,f9(a60,x16353,x16352)))+P73(f22(x16351,f4(a60)))
% 15.75/15.78 [1644]P8(a60,x16441,x16442)+~P73(f22(x16443,f38(x16442,x16441,x16443)))+P73(f22(x16443,f8(a60,x16441,x16442)))
% 15.75/15.78 [1645]P8(a60,x16451,x16452)+~P73(f22(x16453,f39(x16452,x16451,x16453)))+P73(f22(x16453,f8(a60,x16451,x16452)))
% 15.75/15.78 [1648]~P73(f22(x16481,f38(x16483,x16482,x16481)))+P73(f22(x16481,f8(a60,x16482,x16483)))+~P73(f22(x16481,f4(a60)))
% 15.75/15.78 [1649]~P73(f22(x16491,f39(x16493,x16492,x16491)))+P73(f22(x16491,f8(a60,x16492,x16493)))+~P73(f22(x16491,f4(a60)))
% 15.75/15.78 [1650]~P73(f22(x16501,f41(x16503,x16502,x16501)))+P73(f22(x16501,f9(a60,x16502,x16503)))+~P73(f22(x16501,f4(a60)))
% 15.75/15.78 [1660]E(x16601,f4(a60))+E(f12(a60,f22(f22(f6(a60),x16601),f41(x16601,x16602,x16603)),f40(x16601,x16602,x16603)),x16602)+P73(f22(x16603,f9(a60,x16602,x16601)))
% 15.75/15.78 [1669]E(x16691,f4(a60))+P7(a60,f22(f22(f6(a60),x16691),f44(x16691,x16692,x16693)),x16692)+~P73(f22(x16693,f9(a60,x16692,x16691)))
% 15.75/15.78 [1679]E(f12(a60,f22(f22(f6(a60),x16791),f41(x16791,x16792,x16793)),f40(x16791,x16792,x16793)),x16792)+P73(f22(x16793,f9(a60,x16792,x16791)))+~P73(f22(x16793,f4(a60)))
% 15.75/15.78 [1681]P7(a60,f22(f22(f6(a60),x16812),f44(x16812,x16813,x16811)),x16813)+~P73(f22(x16811,f9(a60,x16813,x16812)))+P73(f22(x16811,f4(a60)))
% 15.75/15.78 [1720]P8(a61,f49(x17201,x17202,x17203),x17203)+~P8(a61,f4(a61),x17203)+P73(f22(f22(x17202,f9(a61,x17201,x17203)),f11(a61,x17201,x17203)))
% 15.75/15.78 [1721]~P8(a61,f4(a61),x17213)+P7(a61,f4(a61),f49(x17211,x17212,x17213))+P73(f22(f22(x17212,f9(a61,x17211,x17213)),f11(a61,x17211,x17213)))
% 15.75/15.78 [1767]~P8(a61,f4(a61),x17671)+E(f12(a61,f22(f22(f6(a61),x17671),f50(x17672,x17673,x17671)),f49(x17672,x17673,x17671)),x17672)+P73(f22(f22(x17673,f9(a61,x17672,x17671)),f11(a61,x17672,x17671)))
% 15.75/15.78 [1797]~P8(a61,f4(a61),x17973)+~P73(f22(f22(x17971,f50(x17972,x17971,x17973)),f49(x17972,x17971,x17973)))+P73(f22(f22(x17971,f9(a61,x17972,x17973)),f11(a61,x17972,x17973)))
% 15.75/15.78 [661]~P33(x6611)+~E(x6613,f4(a60))+E(f22(f22(f28(x6611),x6612),x6613),f7(x6611))
% 15.75/15.78 [672]~P68(x6721)+~E(x6723,f4(x6721))+E(f22(f22(f6(x6721),x6722),x6723),f4(x6721))
% 15.75/15.78 [673]~P68(x6731)+~E(x6732,f4(x6731))+E(f22(f22(f6(x6731),x6732),x6733),f4(x6731))
% 15.75/15.78 [759]~P48(x7592)+E(x7591,f4(x7592))+~E(f22(f22(f28(x7592),x7591),x7593),f4(x7592))
% 15.75/15.78 [827]~P51(x8271)+~E(x8272,f5(x8271,x8273))+E(f22(f22(f6(x8271),x8272),x8272),f22(f22(f6(x8271),x8273),x8273))
% 15.75/15.78 [875]E(x8751,x8752)+E(x8753,f4(a60))+~E(f22(f22(f6(a60),x8753),x8751),f22(f22(f6(a60),x8753),x8752))
% 15.75/15.78 [876]E(x8761,x8762)+E(x8763,f4(a60))+~E(f22(f22(f6(a60),x8761),x8763),f22(f22(f6(a60),x8762),x8763))
% 15.75/15.78 [1050]E(x10501,x10502)+~P8(a60,f4(a60),x10503)+~E(f22(f22(f6(a60),x10503),x10501),f22(f22(f6(a60),x10503),x10502))
% 15.75/15.78 [1113]~P56(x11131)+~P8(x11131,f4(x11131),x11132)+P8(x11131,f4(x11131),f22(f22(f28(x11131),x11132),x11133))
% 15.75/15.78 [1114]~P56(x11141)+~P7(x11141,f4(x11141),x11142)+P7(x11141,f4(x11141),f22(f22(f28(x11141),x11142),x11143))
% 15.75/15.78 [1115]~P56(x11151)+~P7(x11151,f7(x11151),x11152)+P7(x11151,f7(x11151),f22(f22(f28(x11151),x11152),x11153))
% 15.75/15.78 [1194]~E(x11942,f9(a60,x11943,x11941))+~P8(a60,f4(a60),x11941)+P7(a60,f22(f22(f6(a60),x11941),x11942),x11943)
% 15.75/15.78 [1201]~P16(x12011)+~P8(a60,f3(x12011,x12013),f3(x12011,x12012))+E(f3(x12011,f12(f63(x12011),x12012,x12013)),f3(x12011,x12012))
% 15.75/15.78 [1202]~P16(x12021)+~P8(a60,f3(x12021,x12022),f3(x12021,x12023))+E(f3(x12021,f12(f63(x12021),x12022,x12023)),f3(x12021,x12023))
% 15.75/15.78 [1243]~P32(x12431)+P73(f22(f22(f23(x12431),x12432),f5(x12431,x12433)))+~P73(f22(f22(f23(x12431),x12432),x12433))
% 15.75/15.78 [1248]~P5(x12481)+E(f22(f22(f6(x12481),x12482),f9(x12481,x12483,x12482)),x12483)+~P73(f22(f22(f23(x12481),x12482),x12483))
% 15.75/15.78 [1313]~P32(x13131)+~P73(f22(f22(f23(x13131),x13132),f5(x13131,x13133)))+P73(f22(f22(f23(x13131),x13132),x13133))
% 15.75/15.78 [1329]~P6(x13291)+E(f9(x13291,x13292,f5(x13291,x13293)),f5(x13291,f9(x13291,x13292,x13293)))+~P73(f22(f22(f23(x13291),x13293),x13292))
% 15.75/15.78 [1330]~P6(x13301)+E(f9(x13301,f5(x13301,x13302),x13303),f5(x13301,f9(x13301,x13302,x13303)))+~P73(f22(f22(f23(x13301),x13303),x13302))
% 15.75/15.78 [1337]~P32(x13371)+~P73(f22(f22(f23(x13371),x13372),x13373))+P73(f22(f22(f23(x13371),f5(x13371,x13372)),x13373))
% 15.75/15.78 [1348]~P73(f22(f22(f23(a60),x13481),x13483))+P73(f22(f22(f23(a60),x13481),x13482))+~P73(f22(f22(f23(a60),x13483),x13482))
% 15.75/15.78 [1372]~P8(a60,x13721,x13723)+~P8(a60,f4(a60),x13722)+P8(a60,f22(f22(f6(a60),x13721),x13722),f22(f22(f6(a60),x13723),x13722))
% 15.75/15.78 [1373]~P8(a60,x13732,x13733)+~P8(a60,f4(a60),x13731)+P8(a60,f22(f22(f6(a60),x13731),x13732),f22(f22(f6(a60),x13731),x13733))
% 15.75/15.78 [1374]~P8(a61,x13742,x13743)+~P8(a61,f4(a61),x13741)+P8(a61,f22(f22(f6(a61),x13741),x13742),f22(f22(f6(a61),x13741),x13743))
% 15.75/15.78 [1421]~P5(x14211)+E(f22(f22(f6(x14211),f9(x14211,x14212,x14213)),x14213),x14212)+~P73(f22(f22(f23(x14211),x14213),x14212))
% 15.75/15.78 [1424]~P32(x14241)+~P73(f22(f22(f23(x14241),f5(x14241,x14242)),x14243))+P73(f22(f22(f23(x14241),x14242),x14243))
% 15.75/15.78 [1488]~P56(x14881)+~P8(x14881,f7(x14881),x14882)+P8(x14881,f7(x14881),f22(f22(f28(x14881),x14882),f12(a60,x14883,f7(a60))))
% 15.75/15.78 [1507]P8(a60,x15071,x15072)+~P8(a60,f4(a60),x15073)+~P8(a60,f22(f22(f28(a60),x15073),x15071),f22(f22(f28(a60),x15073),x15072))
% 15.75/15.78 [1509]P7(a60,x15091,x15092)+~P8(a60,f4(a60),x15093)+~P7(a60,f22(f22(f6(a60),x15093),x15091),f22(f22(f6(a60),x15093),x15092))
% 15.75/15.78 [1510]P7(a60,x15101,x15102)+~P8(a60,f4(a60),x15103)+~P7(a60,f22(f22(f6(a60),x15101),x15103),f22(f22(f6(a60),x15102),x15103))
% 15.75/15.78 [1515]~P4(x15152)+E(x15151,f4(f63(x15152)))+E(f22(f14(x15152,f25(x15152,x15153,x15151)),f3(x15152,f25(x15152,x15153,x15151))),f7(x15152))
% 15.75/15.78 [1516]~P4(x15162)+E(x15161,f4(f63(x15162)))+E(f22(f14(x15162,f25(x15162,x15161,x15163)),f3(x15162,f25(x15162,x15161,x15163))),f7(x15162))
% 15.75/15.78 [1540]~E(x15403,f9(a60,x15401,x15402))+~P8(a60,f4(a60),x15402)+P8(a60,x15401,f22(f22(f6(a60),x15402),f12(a60,x15403,f7(a60))))
% 15.75/15.78 [1602]P73(f22(f22(f23(a60),x16021),f8(a60,x16022,x16023)))+~P73(f22(f22(f23(a60),x16021),x16022))+~P73(f22(f22(f23(a60),x16021),x16023))
% 15.75/15.78 [1662]~P73(f22(f22(f23(a61),x16621),f8(a61,x16622,x16623)))+~P73(f22(f22(f23(a61),x16621),x16623))+P73(f22(f22(f23(a61),x16621),x16622))
% 15.75/15.78 [1697]~P51(x16971)+~E(x16972,f5(x16971,x16973))+E(f22(f22(f28(x16971),x16972),f12(a60,f12(a60,f4(a60),f7(a60)),f7(a60))),f22(f22(f28(x16971),x16973),f12(a60,f12(a60,f4(a60),f7(a60)),f7(a60))))
% 15.75/15.78 [1752]E(x17521,f4(a60))+P8(a60,x17522,f22(f22(f6(a60),x17521),f12(a60,f44(x17521,x17522,x17523),f7(a60))))+~P73(f22(x17523,f9(a60,x17522,x17521)))
% 15.75/15.78 [1757]P8(a60,x17572,f22(f22(f6(a60),x17573),f12(a60,f44(x17573,x17572,x17571),f7(a60))))+~P73(f22(x17571,f9(a60,x17572,x17573)))+P73(f22(x17571,f4(a60)))
% 15.75/15.78 [902]~P5(x9022)+E(x9021,f4(x9022))+E(f9(x9022,f22(f22(f6(x9022),x9023),x9021),x9021),x9023)
% 15.75/15.78 [903]~P5(x9032)+E(x9031,f4(x9032))+E(f9(x9032,f22(f22(f6(x9032),x9031),x9033),x9031),x9033)
% 15.75/15.78 [1224]~P1(x12241)+~E(x12242,f7(x12241))+P73(f22(f22(f23(x12241),x12242),f22(f22(f28(x12241),x12242),x12243)))
% 15.75/15.78 [1379]~P1(x13791)+~P8(a60,f4(a60),x13793)+P73(f22(f22(f23(x13791),x13792),f22(f22(f28(x13791),x13792),x13793)))
% 15.75/15.78 [1403]~P57(x14032)+E(x14031,f4(x14032))+~E(f12(x14032,f22(f22(f6(x14032),x14033),x14033),f22(f22(f6(x14032),x14031),x14031)),f4(x14032))
% 15.75/15.78 [1404]~P57(x14042)+E(x14041,f4(x14042))+~E(f12(x14042,f22(f22(f6(x14042),x14041),x14041),f22(f22(f6(x14042),x14043),x14043)),f4(x14042))
% 15.75/15.78 [1418]~P33(x14182)+E(x14181,f4(a60))+E(f22(f22(f6(x14182),x14183),f22(f22(f28(x14182),x14183),f8(a60,x14181,f7(a60)))),f22(f22(f28(x14182),x14183),x14181))
% 15.75/15.78 [1472]~P56(x14721)+~P8(x14721,f7(x14721),x14722)+P8(x14721,f7(x14721),f22(f22(f6(x14721),x14722),f22(f22(f28(x14721),x14722),x14723)))
% 15.75/15.78 [1577]~P56(x15771)+~P8(x15771,f7(x15771),x15772)+P8(x15771,f22(f22(f28(x15771),x15772),x15773),f22(f22(f6(x15771),x15772),f22(f22(f28(x15771),x15772),x15773)))
% 15.75/15.78 [1595]~P57(x15952)+E(x15951,f4(x15952))+P8(x15952,f4(x15952),f12(x15952,f22(f22(f6(x15952),x15953),x15953),f22(f22(f6(x15952),x15951),x15951)))
% 15.75/15.78 [1596]~P57(x15962)+E(x15961,f4(x15962))+P8(x15962,f4(x15962),f12(x15962,f22(f22(f6(x15962),x15961),x15961),f22(f22(f6(x15962),x15963),x15963)))
% 15.75/15.78 [1686]E(x16861,f4(a60))+~P73(f22(f22(f23(a60),x16862),x16863))+P73(f22(f22(f23(a60),f22(f22(f28(a60),x16862),x16861)),f22(f22(f28(a60),x16863),x16861)))
% 15.75/15.78 [1687]E(x16871,f4(a60))+~P73(f22(f22(f23(a61),x16872),x16873))+P73(f22(f22(f23(a61),f22(f22(f28(a61),x16872),x16871)),f22(f22(f28(a61),x16873),x16871)))
% 15.75/15.78 [1688]E(x16881,f4(a61))+~P73(f22(f22(f23(a61),x16882),x16883))+P73(f22(f22(f23(a61),f22(f22(f6(a61),x16881),x16882)),f22(f22(f6(a61),x16881),x16883)))
% 15.75/15.78 [1713]~P57(x17132)+E(x17131,f4(x17132))+~P7(x17132,f12(x17132,f22(f22(f6(x17132),x17133),x17133),f22(f22(f6(x17132),x17131),x17131)),f4(x17132))
% 15.75/15.78 [1714]~P57(x17142)+E(x17141,f4(x17142))+~P7(x17142,f12(x17142,f22(f22(f6(x17142),x17141),x17141),f22(f22(f6(x17142),x17143),x17143)),f4(x17142))
% 15.75/15.78 [1741]E(x17411,f4(a60))+P73(f22(f22(f23(a60),x17412),x17413))+~P73(f22(f22(f23(a60),f22(f22(f28(a60),x17412),x17411)),f22(f22(f28(a60),x17413),x17411)))
% 15.75/15.78 [1743]E(x17431,f4(a60))+P73(f22(f22(f23(a61),x17432),x17433))+~P73(f22(f22(f23(a61),f22(f22(f28(a61),x17432),x17431)),f22(f22(f28(a61),x17433),x17431)))
% 15.75/15.78 [1744]E(x17441,f4(a60))+P73(f22(f22(f23(a60),x17442),x17443))+~P73(f22(f22(f23(a60),f22(f22(f6(a60),x17441),x17442)),f22(f22(f6(a60),x17441),x17443)))
% 15.75/15.78 [1746]E(x17461,f4(a61))+P73(f22(f22(f23(a61),x17462),x17463))+~P73(f22(f22(f23(a61),f22(f22(f6(a61),x17461),x17462)),f22(f22(f6(a61),x17461),x17463)))
% 15.75/15.78 [1749]P7(a60,x17491,x17492)+~P8(a60,f7(a60),x17493)+~P73(f22(f22(f23(a60),f22(f22(f28(a60),x17493),x17491)),f22(f22(f28(a60),x17493),x17492)))
% 15.75/15.78 [1754]~P8(a60,f4(a60),x17543)+P73(f22(f22(f23(a60),x17541),x17542))+~P73(f22(f22(f23(a60),f22(f22(f6(a60),x17543),x17541)),f22(f22(f6(a60),x17543),x17542)))
% 15.75/15.78 [1702]~P12(x17021)+~P8(a60,f4(a60),x17023)+E(f22(f22(f6(x17021),f22(f22(f28(x17021),x17022),f8(a60,x17023,f7(a60)))),x17022),f22(f22(f28(x17021),x17022),x17023))
% 15.75/15.78 [1857]~P51(x18572)+E(x18571,f4(f63(x18572)))+~P73(f22(f22(f23(f63(x18572)),f22(f22(f28(f63(x18572)),f20(x18572,f5(x18572,x18573),f20(x18572,f7(x18572),f4(f63(x18572))))),f12(a60,f18(x18572,x18573,x18571),f7(a60)))),x18571))
% 15.75/15.78 [1801]~P51(x18011)+~E(f22(f17(x18011,x18013),f5(x18011,x18012)),f4(x18011))+P73(f22(f22(f23(f63(x18011)),f20(x18011,x18012,f20(x18011,f7(x18011),f4(f63(x18011))))),x18013))
% 15.75/15.78 [1807]~P51(x18071)+~E(f22(f17(x18071,x18073),x18072),f4(x18071))+P73(f22(f22(f23(f63(x18071)),f20(x18071,f5(x18071,x18072),f20(x18071,f7(x18071),f4(f63(x18071))))),x18073))
% 15.75/15.78 [1836]~P51(x18361)+E(f22(f17(x18361,x18362),f5(x18361,x18363)),f4(x18361))+~P73(f22(f22(f23(f63(x18361)),f20(x18361,x18363,f20(x18361,f7(x18361),f4(f63(x18361))))),x18362))
% 15.75/15.78 [1839]~P51(x18391)+E(f22(f17(x18391,x18392),x18393),f4(x18391))+~P73(f22(f22(f23(f63(x18391)),f20(x18391,f5(x18391,x18393),f20(x18391,f7(x18391),f4(f63(x18391))))),x18392))
% 15.75/15.78 [923]~P17(x9233)+E(x9231,x9232)+~E(f12(x9233,x9234,x9231),f12(x9233,x9234,x9232))
% 15.75/15.78 [924]~P18(x9243)+E(x9241,x9242)+~E(f12(x9243,x9244,x9241),f12(x9243,x9244,x9242))
% 15.75/15.78 [925]~P2(x9253)+E(x9251,x9252)+~E(f19(x9253,x9251,x9254),f19(x9253,x9252,x9254))
% 15.75/15.78 [927]~P17(x9273)+E(x9271,x9272)+~E(f12(x9273,x9271,x9274),f12(x9273,x9272,x9274))
% 15.75/15.78 [1001]~P39(x10012)+~P8(f64(x10011,x10012),x10013,x10014)+P7(f64(x10011,x10012),x10013,x10014)
% 15.75/15.78 [1109]~P39(x11091)+~P7(f64(x11092,x11091),x11094,x11093)+~P8(f64(x11092,x11091),x11093,x11094)
% 15.75/15.78 [1173]~P8(a60,x11733,x11734)+P8(a60,x11731,x11732)+~E(f12(a60,x11733,x11732),f12(a60,x11731,x11734))
% 15.75/15.78 [1286]~P27(x12861)+~P8(x12861,x12863,x12864)+P8(x12861,f12(x12861,x12862,x12863),f12(x12861,x12862,x12864))
% 15.75/15.78 [1287]~P29(x12871)+~P8(x12871,x12873,x12874)+P8(x12871,f12(x12871,x12872,x12873),f12(x12871,x12872,x12874))
% 15.75/15.78 [1288]~P27(x12881)+~P8(x12881,x12882,x12884)+P8(x12881,f12(x12881,x12882,x12883),f12(x12881,x12884,x12883))
% 15.75/15.78 [1289]~P29(x12891)+~P8(x12891,x12892,x12894)+P8(x12891,f12(x12891,x12892,x12893),f12(x12891,x12894,x12893))
% 15.75/15.78 [1290]~P27(x12901)+~P7(x12901,x12903,x12904)+P7(x12901,f12(x12901,x12902,x12903),f12(x12901,x12902,x12904))
% 15.75/15.78 [1291]~P28(x12911)+~P7(x12911,x12913,x12914)+P7(x12911,f12(x12911,x12912,x12913),f12(x12911,x12912,x12914))
% 15.75/15.78 [1292]~P27(x12921)+~P7(x12921,x12922,x12924)+P7(x12921,f12(x12921,x12922,x12923),f12(x12921,x12924,x12923))
% 15.75/15.78 [1293]~P28(x12931)+~P7(x12931,x12932,x12934)+P7(x12931,f12(x12931,x12932,x12933),f12(x12931,x12934,x12933))
% 15.75/15.78 [1407]~P8(a60,x14072,x14074)+~P8(a60,x14071,x14073)+P8(a60,f12(a60,x14071,x14072),f12(a60,x14073,x14074))
% 15.75/15.78 [1408]~P8(a61,x14081,x14083)+~P7(a61,x14082,x14084)+P8(a61,f12(a61,x14081,x14082),f12(a61,x14083,x14084))
% 15.75/15.78 [1409]~P7(a60,x14092,x14094)+~P7(a60,x14091,x14093)+P7(a60,f12(a60,x14091,x14092),f12(a60,x14093,x14094))
% 15.75/15.78 [1481]~P27(x14811)+P8(x14811,x14812,x14813)+~P8(x14811,f12(x14811,x14814,x14812),f12(x14811,x14814,x14813))
% 15.75/15.78 [1483]~P27(x14831)+P8(x14831,x14832,x14833)+~P8(x14831,f12(x14831,x14832,x14834),f12(x14831,x14833,x14834))
% 15.75/15.78 [1485]~P27(x14851)+P7(x14851,x14852,x14853)+~P7(x14851,f12(x14851,x14854,x14852),f12(x14851,x14854,x14853))
% 15.75/15.78 [1487]~P27(x14871)+P7(x14871,x14872,x14873)+~P7(x14871,f12(x14871,x14872,x14874),f12(x14871,x14873,x14874))
% 15.75/15.78 [1496]~E(x14963,f12(a60,x14964,x14962))+P73(f22(x14961,x14962))+~P73(f22(x14961,f8(a60,x14963,x14964)))
% 15.75/15.78 [1796]E(x17961,x17962)+~P4(x17963)+~P11(x17963,x17962,f4(f63(x17963)),x17964,x17961)
% 15.75/15.78 [1798]~P4(x17982)+~P11(x17982,x17983,f4(f63(x17982)),x17981,x17984)+E(x17981,f4(f63(x17982)))
% 15.75/15.78 [1799]~P4(x17992)+~P11(x17992,f4(f63(x17992)),x17993,x17994,x17991)+E(x17991,f4(f63(x17992)))
% 15.75/15.78 [1800]~P4(x18002)+~P11(x18002,f4(f63(x18002)),x18003,x18001,x18004)+E(x18001,f4(f63(x18002)))
% 15.75/15.78 [1841]~P39(x18412)+P7(f64(x18411,x18412),x18413,x18414)+~P7(x18412,f22(x18413,f58(x18414,x18413,x18411,x18412)),f22(x18414,f58(x18414,x18413,x18411,x18412)))
% 15.75/15.78 [962]~P50(x9621)+~E(x9623,f22(f22(f6(x9621),x9622),x9624))+P73(f22(f22(f23(x9621),x9622),x9623))
% 15.75/15.78 [1112]~E(x11123,x11124)+~P2(x11121)+E(f22(f14(x11121,f19(x11121,x11122,x11123)),x11124),x11122)
% 15.75/15.78 [1116]~P2(x11163)+E(x11161,x11162)+E(f22(f14(x11163,f19(x11163,x11164,x11161)),x11162),f4(x11163))
% 15.75/15.78 [1362]~P7(a60,x13622,x13624)+~P7(a60,x13621,x13623)+P7(a60,f22(f22(f6(a60),x13621),x13622),f22(f22(f6(a60),x13623),x13624))
% 15.75/15.78 [1132]~P5(x11321)+~E(x11322,f4(x11321))+E(f9(x11321,f22(f22(f6(x11321),x11322),x11323),f22(f22(f6(x11321),x11322),x11324)),f4(x11321))
% 15.75/15.78 [1221]~P5(x12212)+E(x12211,f4(x12212))+E(f9(x12212,f22(f22(f6(x12212),x12213),x12211),f22(f22(f6(x12212),x12214),x12211)),f9(x12212,x12213,x12214))
% 15.75/15.78 [1223]~P5(x12232)+E(x12231,f4(x12232))+E(f9(x12232,f22(f22(f6(x12232),x12231),x12233),f22(f22(f6(x12232),x12231),x12234)),f9(x12232,x12233,x12234))
% 15.75/15.78 [1489]~P1(x14891)+~P73(f22(f22(f23(x14891),x14892),x14894))+P73(f22(f22(f23(x14891),x14892),f22(f22(f6(x14891),x14893),x14894)))
% 15.75/15.78 [1490]~P1(x14901)+~P73(f22(f22(f23(x14901),x14902),x14903))+P73(f22(f22(f23(x14901),x14902),f22(f22(f6(x14901),x14903),x14904)))
% 15.75/15.78 [1497]~P5(x14971)+E(f9(x14971,f22(f22(f6(x14971),x14972),x14973),x14974),f22(f22(f6(x14971),x14972),f9(x14971,x14973,x14974)))+~P73(f22(f22(f23(x14971),x14974),x14973))
% 15.75/15.78 [1601]~P5(x16011)+E(f9(x16011,f22(f22(f6(x16011),x16012),x16013),x16014),f22(f22(f6(x16011),f9(x16011,x16012,x16014)),x16013))+~P73(f22(f22(f23(x16011),x16014),x16012))
% 15.75/15.78 [1657]~P5(x16571)+E(f9(x16571,f22(f22(f28(x16571),x16572),x16573),f22(f22(f28(x16571),x16574),x16573)),f22(f22(f28(x16571),f9(x16571,x16572,x16574)),x16573))+~P73(f22(f22(f23(x16571),x16574),x16572))
% 15.75/15.78 [1670]~P51(x16701)+~E(x16703,f4(x16701))+P73(f22(f22(f23(x16701),f22(f22(f6(x16701),x16702),x16703)),f22(f22(f6(x16701),x16704),x16703)))
% 15.75/15.78 [1671]~P51(x16711)+~E(x16712,f4(x16711))+P73(f22(f22(f23(x16711),f22(f22(f6(x16711),x16712),x16713)),f22(f22(f6(x16711),x16712),x16714)))
% 15.75/15.78 [1677]~P4(x16771)+~P73(f22(f22(f23(f63(x16771)),x16772),f25(x16771,x16774,x16773)))+P73(f22(f22(f23(f63(x16771)),x16772),x16773))
% 15.75/15.78 [1678]~P4(x16781)+~P73(f22(f22(f23(f63(x16781)),x16782),f25(x16781,x16783,x16784)))+P73(f22(f22(f23(f63(x16781)),x16782),x16783))
% 15.75/15.78 [1696]~P1(x16961)+~P7(a60,x16963,x16964)+P73(f22(f22(f23(x16961),f22(f22(f28(x16961),x16962),x16963)),f22(f22(f28(x16961),x16962),x16964)))
% 15.75/15.78 [1707]~P51(x17071)+~P73(f22(f22(f23(x17071),x17073),x17074))+P73(f22(f22(f23(x17071),f22(f22(f6(x17071),x17072),x17073)),f22(f22(f6(x17071),x17072),x17074)))
% 15.75/15.78 [1708]~P51(x17081)+~P73(f22(f22(f23(x17081),x17082),x17084))+P73(f22(f22(f23(x17081),f22(f22(f6(x17081),x17082),x17083)),f22(f22(f6(x17081),x17084),x17083)))
% 15.75/15.78 [1709]~P1(x17091)+~P73(f22(f22(f23(x17091),x17092),x17094))+P73(f22(f22(f23(x17091),f22(f22(f28(x17091),x17092),x17093)),f22(f22(f28(x17091),x17094),x17093)))
% 15.75/15.78 [1748]~P12(x17481)+~P7(a60,x17484,x17483)+E(f22(f22(f6(x17481),f22(f22(f28(x17481),x17482),f8(a60,x17483,x17484))),x17482),f22(f22(f28(x17481),x17482),f8(a60,f12(a60,x17483,f7(a60)),x17484)))
% 15.75/15.78 [1779]~P2(x17792)+E(f27(x17791,x17792,x17793,x17794,f4(f63(x17792))),x17793)+~E(f22(f22(f22(x17794,f4(x17792)),f4(f63(x17792))),x17793),x17793)
% 15.75/15.78 [1542]~P5(x15422)+E(x15421,f4(x15422))+E(f9(x15422,f12(x15422,x15423,f22(f22(f6(x15422),x15424),x15421)),x15421),f12(x15422,x15424,f9(x15422,x15423,x15421)))
% 15.75/15.78 [1543]~P5(x15432)+E(x15431,f4(x15432))+E(f9(x15432,f12(x15432,x15433,f22(f22(f6(x15432),x15431),x15434)),x15431),f12(x15432,x15434,f9(x15432,x15433,x15431)))
% 15.75/15.78 [1715]~P1(x17151)+P73(f22(f22(f23(x17151),x17152),x17153))+~P73(f22(f22(f23(x17151),f22(f22(f6(x17151),x17154),x17152)),x17153))
% 15.75/15.78 [1716]~P1(x17161)+P73(f22(f22(f23(x17161),x17162),x17163))+~P73(f22(f22(f23(x17161),f22(f22(f6(x17161),x17162),x17164)),x17163))
% 15.75/15.78 [928]~P2(x9283)+E(x9281,x9282)+~E(f20(x9283,x9284,x9281),f20(x9283,x9285,x9282))
% 15.75/15.78 [929]~P2(x9293)+E(x9291,x9292)+~E(f20(x9293,x9291,x9294),f20(x9293,x9292,x9295))
% 15.75/15.78 [1068]~P39(x10681)+P7(x10681,f22(x10682,x10683),f22(x10684,x10683))+~P7(f64(x10685,x10681),x10682,x10684)
% 15.75/15.78 [1802]~P4(x18021)+~P11(x18021,x18022,x18023,x18024,x18025)+E(f9(f63(x18021),x18022,x18023),x18024)
% 15.75/15.78 [1526]~E(x15262,x15264)+~P72(x15261)+E(f12(x15261,f22(f22(f6(x15261),x15262),x15263),f22(f22(f6(x15261),x15264),x15265)),f12(x15261,f22(f22(f6(x15261),x15262),x15265),f22(f22(f6(x15261),x15264),x15263)))
% 15.75/15.78 [1738]~P7(a60,x17383,x17382)+E(x17381,f12(a60,f22(f22(f6(a60),f8(a60,x17382,x17383)),x17384),x17385))+~E(f12(a60,f22(f22(f6(a60),x17383),x17384),x17381),f12(a60,f22(f22(f6(a60),x17382),x17384),x17385))
% 15.75/15.78 [1739]~P7(a60,x17392,x17391)+E(f12(a60,f22(f22(f6(a60),f8(a60,x17391,x17392)),x17393),x17394),x17395)+~E(f12(a60,f22(f22(f6(a60),x17391),x17393),x17394),f12(a60,f22(f22(f6(a60),x17392),x17393),x17395))
% 15.75/15.78 [1761]~P7(a60,x17614,x17611)+~E(x17615,f12(a60,f22(f22(f6(a60),f8(a60,x17611,x17614)),x17612),x17613))+E(f12(a60,f22(f22(f6(a60),x17611),x17612),x17613),f12(a60,f22(f22(f6(a60),x17614),x17612),x17615))
% 15.75/15.78 [1762]~P7(a60,x17624,x17621)+~E(f12(a60,f22(f22(f6(a60),f8(a60,x17621,x17624)),x17622),x17623),x17625)+E(f12(a60,f22(f22(f6(a60),x17621),x17622),x17623),f12(a60,f22(f22(f6(a60),x17624),x17622),x17625))
% 15.75/15.78 [1808]~P7(a60,x18083,x18082)+P8(a60,x18081,f12(a60,f22(f22(f6(a60),f8(a60,x18082,x18083)),x18084),x18085))+~P8(a60,f12(a60,f22(f22(f6(a60),x18083),x18084),x18081),f12(a60,f22(f22(f6(a60),x18082),x18084),x18085))
% 15.75/15.78 [1809]~P7(a60,x18093,x18092)+P7(a60,x18091,f12(a60,f22(f22(f6(a60),f8(a60,x18092,x18093)),x18094),x18095))+~P7(a60,f12(a60,f22(f22(f6(a60),x18093),x18094),x18091),f12(a60,f22(f22(f6(a60),x18092),x18094),x18095))
% 15.75/15.78 [1810]~P7(a60,x18102,x18101)+P8(a60,f12(a60,f22(f22(f6(a60),f8(a60,x18101,x18102)),x18103),x18104),x18105)+~P8(a60,f12(a60,f22(f22(f6(a60),x18101),x18103),x18104),f12(a60,f22(f22(f6(a60),x18102),x18103),x18105))
% 15.75/15.78 [1811]~P7(a60,x18112,x18111)+P7(a60,f12(a60,f22(f22(f6(a60),f8(a60,x18111,x18112)),x18113),x18114),x18115)+~P7(a60,f12(a60,f22(f22(f6(a60),x18111),x18113),x18114),f12(a60,f22(f22(f6(a60),x18112),x18113),x18115))
% 15.75/15.78 [1818]~P7(a60,x18181,x18184)+~P8(a60,x18183,f12(a60,f22(f22(f6(a60),f8(a60,x18184,x18181)),x18182),x18185))+P8(a60,f12(a60,f22(f22(f6(a60),x18181),x18182),x18183),f12(a60,f22(f22(f6(a60),x18184),x18182),x18185))
% 15.75/15.78 [1819]~P7(a60,x18191,x18194)+~P7(a60,x18193,f12(a60,f22(f22(f6(a60),f8(a60,x18194,x18191)),x18192),x18195))+P7(a60,f12(a60,f22(f22(f6(a60),x18191),x18192),x18193),f12(a60,f22(f22(f6(a60),x18194),x18192),x18195))
% 15.75/15.78 [1820]~P7(a60,x18204,x18201)+~P8(a60,f12(a60,f22(f22(f6(a60),f8(a60,x18201,x18204)),x18202),x18203),x18205)+P8(a60,f12(a60,f22(f22(f6(a60),x18201),x18202),x18203),f12(a60,f22(f22(f6(a60),x18204),x18202),x18205))
% 15.75/15.78 [1821]~P7(a60,x18214,x18211)+~P7(a60,f12(a60,f22(f22(f6(a60),f8(a60,x18211,x18214)),x18212),x18213),x18215)+P7(a60,f12(a60,f22(f22(f6(a60),x18211),x18212),x18213),f12(a60,f22(f22(f6(a60),x18214),x18212),x18215))
% 15.75/15.78 [1806]~P4(x18062)+~P11(x18062,x18061,x18064,x18063,x18065)+E(x18061,f12(f63(x18062),f22(f22(f6(f63(x18062)),x18063),x18064),x18065))
% 15.75/15.78 [1805]~P73(f22(f22(f23(a61),x18051),f12(a61,x18052,x18055)))+~P73(f22(f22(f23(a61),x18051),x18054))+P73(f22(f22(f23(a61),x18051),f12(a61,f12(a61,x18052,f22(f22(f6(a61),x18053),x18054)),x18055)))
% 15.75/15.78 [1827]P73(f22(f22(f23(a61),x18271),f12(a61,x18272,x18273)))+~P73(f22(f22(f23(a61),x18271),x18274))+~P73(f22(f22(f23(a61),x18271),f12(a61,f12(a61,x18272,f22(f22(f6(a61),x18275),x18274)),x18273)))
% 15.75/15.78 [1736]~P49(x17362)+~E(f12(x17362,f22(f22(f6(x17362),x17364),x17365),x17361),f12(x17362,f22(f22(f6(x17362),x17363),x17365),x17366))+E(x17361,f12(x17362,f22(f22(f6(x17362),f8(x17362,x17363,x17364)),x17365),x17366))
% 15.75/15.78 [1737]~P49(x17371)+~E(f12(x17371,f22(f22(f6(x17371),x17372),x17374),x17375),f12(x17371,f22(f22(f6(x17371),x17373),x17374),x17376))+E(f12(x17371,f22(f22(f6(x17371),f8(x17371,x17372,x17373)),x17374),x17375),x17376)
% 15.75/15.78 [1758]~P49(x17581)+~E(x17586,f12(x17581,f22(f22(f6(x17581),f8(x17581,x17582,x17585)),x17583),x17584))+E(f12(x17581,f22(f22(f6(x17581),x17582),x17583),x17584),f12(x17581,f22(f22(f6(x17581),x17585),x17583),x17586))
% 15.75/15.78 [1759]~P49(x17591)+~E(f12(x17591,f22(f22(f6(x17591),f8(x17591,x17592,x17595)),x17593),x17594),x17596)+E(f12(x17591,f22(f22(f6(x17591),x17592),x17593),x17594),f12(x17591,f22(f22(f6(x17591),x17595),x17593),x17596))
% 15.75/15.78 [1814]~P64(x18141)+~P8(x18141,f12(x18141,f22(f22(f6(x18141),x18144),x18145),x18142),f12(x18141,f22(f22(f6(x18141),x18143),x18145),x18146))+P8(x18141,x18142,f12(x18141,f22(f22(f6(x18141),f8(x18141,x18143,x18144)),x18145),x18146))
% 15.75/15.78 [1815]~P64(x18151)+~P7(x18151,f12(x18151,f22(f22(f6(x18151),x18154),x18155),x18152),f12(x18151,f22(f22(f6(x18151),x18153),x18155),x18156))+P7(x18151,x18152,f12(x18151,f22(f22(f6(x18151),f8(x18151,x18153,x18154)),x18155),x18156))
% 15.75/15.78 [1816]~P64(x18161)+~P8(x18161,f12(x18161,f22(f22(f6(x18161),x18162),x18164),x18165),f12(x18161,f22(f22(f6(x18161),x18163),x18164),x18166))+P8(x18161,f12(x18161,f22(f22(f6(x18161),f8(x18161,x18162,x18163)),x18164),x18165),x18166)
% 15.75/15.78 [1817]~P64(x18171)+~P7(x18171,f12(x18171,f22(f22(f6(x18171),x18172),x18174),x18175),f12(x18171,f22(f22(f6(x18171),x18173),x18174),x18176))+P7(x18171,f12(x18171,f22(f22(f6(x18171),f8(x18171,x18172,x18173)),x18174),x18175),x18176)
% 15.75/15.78 [1822]~P64(x18221)+~P8(x18221,x18224,f12(x18221,f22(f22(f6(x18221),f8(x18221,x18225,x18222)),x18223),x18226))+P8(x18221,f12(x18221,f22(f22(f6(x18221),x18222),x18223),x18224),f12(x18221,f22(f22(f6(x18221),x18225),x18223),x18226))
% 15.75/15.78 [1823]~P64(x18231)+~P7(x18231,x18234,f12(x18231,f22(f22(f6(x18231),f8(x18231,x18235,x18232)),x18233),x18236))+P7(x18231,f12(x18231,f22(f22(f6(x18231),x18232),x18233),x18234),f12(x18231,f22(f22(f6(x18231),x18235),x18233),x18236))
% 15.75/15.78 [1824]~P64(x18241)+~P8(x18241,f12(x18241,f22(f22(f6(x18241),f8(x18241,x18242,x18245)),x18243),x18244),x18246)+P8(x18241,f12(x18241,f22(f22(f6(x18241),x18242),x18243),x18244),f12(x18241,f22(f22(f6(x18241),x18245),x18243),x18246))
% 15.75/15.78 [1825]~P64(x18251)+~P7(x18251,f12(x18251,f22(f22(f6(x18251),f8(x18251,x18252,x18255)),x18253),x18254),x18256)+P7(x18251,f12(x18251,f22(f22(f6(x18251),x18252),x18253),x18254),f12(x18251,f22(f22(f6(x18251),x18255),x18253),x18256))
% 15.75/15.78 [1850]~P2(x18502)+E(f27(x18501,x18502,x18503,x18504,f20(x18502,x18505,x18506)),f22(f22(f22(x18504,x18505),x18506),f27(x18501,x18502,x18503,x18504,x18506)))+~E(f22(f22(f22(x18504,f4(x18502)),f4(f63(x18502))),x18503),x18503)
% 15.75/15.78 [819]~P31(x8192)+~P8(x8192,f4(x8192),x8191)+E(f13(x8192,x8191),f7(x8192))+E(x8191,f4(x8192))
% 15.75/15.78 [963]P8(a61,x9631,x9632)+P8(a61,x9632,x9631)+E(x9631,f4(a61))+~E(f9(a61,x9632,x9631),f4(a61))
% 15.75/15.78 [971]P8(a61,x9712,x9711)+E(x9711,f4(a61))+P7(a61,x9712,f4(a61))+~E(f9(a61,x9712,x9711),f4(a61))
% 15.75/15.78 [972]P8(a61,x9721,x9722)+E(x9721,f4(a61))+P7(a61,f4(a61),x9722)+~E(f9(a61,x9722,x9721),f4(a61))
% 15.75/15.78 [698]P9(x6982,x6981)+~P54(x6982)+P9(x6982,f5(f63(x6982),x6981))+E(x6981,f4(f63(x6982)))
% 15.75/15.78 [772]~P31(x7722)+P8(x7722,f4(x7722),x7721)+E(x7721,f4(x7722))+E(f13(x7722,x7721),f5(x7722,f7(x7722)))
% 15.75/15.78 [905]~P54(x9052)+~P8(f63(x9052),f4(f63(x9052)),x9051)+E(f13(f63(x9052),x9051),f7(f63(x9052)))+E(x9051,f4(f63(x9052)))
% 15.75/15.78 [699]~P33(x6992)+~P70(x6992)+E(x6991,f4(a60))+E(f22(f22(f28(x6992),f4(x6992)),x6991),f4(x6992))
% 15.75/15.78 [814]~P48(x8142)+E(x8141,f7(x8142))+E(x8141,f5(x8142,f7(x8142)))+~E(f22(f22(f6(x8142),x8141),x8141),f7(x8142))
% 15.75/15.78 [861]~E(x8612,f7(a61))+~E(x8611,f7(a61))+~P8(a61,f4(a61),x8611)+E(f22(f22(f6(a61),x8611),x8612),f7(a61))
% 15.75/15.78 [884]~P54(x8842)+P8(f63(x8842),f4(f63(x8842)),x8841)+E(x8841,f4(f63(x8842)))+E(f13(f63(x8842),x8841),f5(f63(x8842),f7(f63(x8842))))
% 15.75/15.78 [800]P8(x8003,x8001,x8002)+~P54(x8003)+E(x8001,x8002)+P8(x8003,x8002,x8001)
% 15.75/15.78 [806]P8(x8063,x8061,x8062)+~P36(x8063)+E(x8061,x8062)+P8(x8063,x8062,x8061)
% 15.75/15.78 [810]P7(x8101,x8102,x8103)+~E(x8102,x8103)+~P36(x8101)+P8(x8101,x8102,x8103)
% 15.75/15.78 [863]~P40(x8633)+~P7(x8633,x8632,x8631)+E(x8631,x8632)+P8(x8633,x8632,x8631)
% 15.75/15.78 [865]~P36(x8653)+~P7(x8653,x8651,x8652)+E(x8651,x8652)+P8(x8653,x8651,x8652)
% 15.75/15.78 [871]~P40(x8713)+~P7(x8713,x8711,x8712)+E(x8711,x8712)+P8(x8713,x8711,x8712)
% 15.75/15.78 [934]~P7(x9343,x9342,x9341)+~P7(x9343,x9341,x9342)+E(x9341,x9342)+~P40(x9343)
% 15.75/15.78 [976]P7(x9761,x9763,x9762)+~P35(x9761)+~P7(x9761,x9762,x9763)+P8(x9761,x9762,x9763)
% 15.75/15.78 [632]~P51(x6323)+~P34(x6323)+E(x6321,x6322)+~E(f17(x6323,x6321),f17(x6323,x6322))
% 15.75/15.78 [1124]~P54(x11241)+P9(x11241,x11242)+P8(x11241,f4(x11241),x11243)+~P9(x11241,f20(x11241,x11243,x11242))
% 15.75/15.79 [1126]P74(x11262,x11261,x11263)+P8(a61,f47(x11263,x11261,x11262),x11261)+E(x11261,f4(a61))+P8(a61,x11261,f4(a61))
% 15.75/15.79 [1127]P74(x11272,x11271,x11273)+P8(a61,x11271,f51(x11273,x11271,x11272))+E(x11271,f4(a61))+P8(a61,f4(a61),x11271)
% 15.75/15.79 [1130]P74(x11302,x11301,x11303)+E(x11301,f4(a61))+P8(a61,x11301,f4(a61))+P7(a61,f4(a61),f47(x11303,x11301,x11302))
% 15.75/15.79 [1131]P74(x11312,x11311,x11313)+E(x11311,f4(a61))+P8(a61,f4(a61),x11311)+P7(a61,f51(x11313,x11311,x11312),f4(a61))
% 15.75/15.79 [1249]E(x12491,x12492)+~P7(a60,x12493,x12492)+~P7(a60,x12493,x12491)+~E(f8(a60,x12491,x12493),f8(a60,x12492,x12493))
% 15.75/15.79 [1315]~P30(x13151)+~P8(x13151,f4(x13151),x13153)+~P8(x13151,f4(x13151),x13152)+P8(x13151,f4(x13151),f12(x13151,x13152,x13153))
% 15.75/15.79 [1319]~P30(x13191)+~P8(x13191,x13193,f4(x13191))+~P8(x13191,x13192,f4(x13191))+P8(x13191,f12(x13191,x13192,x13193),f4(x13191))
% 15.75/15.79 [1320]~P30(x13201)+~P8(x13201,x13203,f4(x13201))+~P7(x13201,x13202,f4(x13201))+P8(x13201,f12(x13201,x13202,x13203),f4(x13201))
% 15.75/15.79 [1321]~P30(x13211)+~P8(x13211,x13212,f4(x13211))+~P7(x13211,x13213,f4(x13211))+P8(x13211,f12(x13211,x13212,x13213),f4(x13211))
% 15.75/15.79 [1322]~P30(x13221)+~P7(x13221,x13223,f4(x13221))+~P7(x13221,x13222,f4(x13221))+P7(x13221,f12(x13221,x13222,x13223),f4(x13221))
% 15.75/15.79 [1332]P74(x13322,x13321,x13323)+P8(a61,x13321,f51(x13323,x13321,x13322))+P8(a61,f47(x13323,x13321,x13322),x13321)+E(x13321,f4(a61))
% 15.75/15.79 [1334]P74(x13342,x13341,x13343)+P8(a61,x13341,f51(x13343,x13341,x13342))+E(x13341,f4(a61))+P7(a61,f4(a61),f47(x13343,x13341,x13342))
% 15.75/15.79 [1335]P74(x13352,x13351,x13353)+P8(a61,f47(x13353,x13351,x13352),x13351)+E(x13351,f4(a61))+P7(a61,f51(x13353,x13351,x13352),f4(a61))
% 15.75/15.79 [1336]P74(x13362,x13361,x13363)+E(x13361,f4(a61))+P7(a61,f4(a61),f47(x13363,x13361,x13362))+P7(a61,f51(x13363,x13361,x13362),f4(a61))
% 15.75/15.79 [1520]~P7(a61,x15202,x15203)+P7(a61,f9(a61,x15201,x15202),f9(a61,x15201,x15203))+~P8(a61,x15201,f4(a61))+~P8(a61,f4(a61),x15202)
% 15.75/15.79 [1521]~P7(a61,x15213,x15212)+P7(a61,f9(a61,x15211,x15212),f9(a61,x15211,x15213))+~P8(a61,f4(a61),x15213)+~P7(a61,f4(a61),x15211)
% 15.75/15.79 [1624]~P7(a60,x16243,x16241)+P8(a60,x16241,x16242)+~P7(a60,x16243,x16242)+~P8(a60,f8(a60,x16241,x16243),f8(a60,x16242,x16243))
% 15.75/15.79 [1625]~P7(a60,x16253,x16251)+P7(a60,x16251,x16252)+~P7(a60,x16253,x16252)+~P7(a60,f8(a60,x16251,x16253),f8(a60,x16252,x16253))
% 15.75/15.79 [756]~P2(x7561)+~E(x7562,f4(x7561))+~E(x7563,f4(f63(x7561)))+E(f20(x7561,x7562,x7563),f4(f63(x7561)))
% 15.75/15.79 [773]~P4(x7731)+~E(x7733,f4(f63(x7731)))+~E(x7732,f4(f63(x7731)))+E(f25(x7731,x7732,x7733),f4(f63(x7731)))
% 15.75/15.79 [909]~P51(x9092)+~E(f18(x9092,x9093,x9091),f4(a60))+~E(f22(f17(x9092,x9091),x9093),f4(x9092))+E(x9091,f4(f63(x9092)))
% 15.75/15.79 [945]~P54(x9451)+~P9(x9451,x9453)+~P9(x9451,x9452)+P9(x9451,f12(f63(x9451),x9452,x9453))
% 15.75/15.79 [1017]P9(x10172,x10171)+~P54(x10172)+~P9(x10172,f20(x10172,x10173,x10171))+E(x10171,f4(f63(x10172)))
% 15.75/15.79 [1018]P74(x10181,x10182,x10183)+P8(a61,x10182,f4(a61))+P8(a61,f4(a61),x10182)+~P73(f22(x10181,f4(a61)))
% 15.75/15.79 [1052]~P54(x10523)+E(x10521,x10522)+~P7(f63(x10523),x10521,x10522)+P9(x10523,f8(f63(x10523),x10522,x10521))
% 15.75/15.79 [1073]~P54(x10731)+~P8(x10731,f4(x10731),x10732)+P9(x10731,f20(x10731,x10732,x10733))+~E(x10733,f4(f63(x10731)))
% 15.75/15.79 [1105]~P7(a60,x11053,f43(x11052,x11051))+~P73(f22(x11051,x11052))+~P73(f22(x11051,x11053))+P73(f22(x11051,f4(a60)))
% 15.75/15.79 [1225]P74(x12251,x12252,x12253)+P8(a61,f47(x12253,x12252,x12251),x12252)+P8(a61,x12252,f4(a61))+~P73(f22(x12251,f4(a61)))
% 15.75/15.79 [1226]P74(x12261,x12262,x12263)+P8(a61,x12262,f51(x12263,x12262,x12261))+P8(a61,f4(a61),x12262)+~P73(f22(x12261,f4(a61)))
% 15.75/15.79 [1240]P74(x12401,x12402,x12403)+P8(a61,x12402,f4(a61))+P7(a61,f4(a61),f47(x12403,x12402,x12401))+~P73(f22(x12401,f4(a61)))
% 15.75/15.79 [1241]P74(x12411,x12412,x12413)+P8(a61,f4(a61),x12412)+P7(a61,f51(x12413,x12412,x12411),f4(a61))+~P73(f22(x12411,f4(a61)))
% 15.75/15.79 [1411]P74(x14111,x14112,x14113)+P8(a61,x14112,f51(x14113,x14112,x14111))+P8(a61,f47(x14113,x14112,x14111),x14112)+~P73(f22(x14111,f4(a61)))
% 15.75/15.79 [1415]P74(x14151,x14152,x14153)+P8(a61,x14152,f51(x14153,x14152,x14151))+P7(a61,f4(a61),f47(x14153,x14152,x14151))+~P73(f22(x14151,f4(a61)))
% 15.75/15.79 [1416]P74(x14161,x14162,x14163)+P8(a61,f47(x14163,x14162,x14161),x14162)+P7(a61,f51(x14163,x14162,x14161),f4(a61))+~P73(f22(x14161,f4(a61)))
% 15.75/15.79 [1420]P74(x14201,x14202,x14203)+P7(a61,f4(a61),f47(x14203,x14202,x14201))+P7(a61,f51(x14203,x14202,x14201),f4(a61))+~P73(f22(x14201,f4(a61)))
% 15.75/15.79 [1504]P74(x15042,x15041,x15043)+E(x15041,f4(a61))+P8(a61,x15041,f4(a61))+~P73(f22(x15042,f48(x15043,x15041,x15042)))
% 15.75/15.79 [1505]P74(x15052,x15051,x15053)+E(x15051,f4(a61))+P8(a61,f4(a61),x15051)+~P73(f22(x15052,f52(x15053,x15051,x15052)))
% 15.75/15.79 [1555]P74(x15551,x15552,x15553)+P8(a61,x15552,f4(a61))+~P73(f22(x15551,f48(x15553,x15552,x15551)))+~P73(f22(x15551,f4(a61)))
% 15.75/15.79 [1556]P74(x15561,x15562,x15563)+P8(a61,f4(a61),x15562)+~P73(f22(x15561,f52(x15563,x15562,x15561)))+~P73(f22(x15561,f4(a61)))
% 15.75/15.79 [1589]P74(x15893,x15891,x15892)+E(x15891,f4(a61))+P8(a61,x15891,f4(a61))+E(f12(a61,f22(f22(f6(a61),x15891),f48(x15892,x15891,x15893)),f47(x15892,x15891,x15893)),x15892)
% 15.75/15.79 [1590]P74(x15903,x15901,x15902)+E(x15901,f4(a61))+P8(a61,f4(a61),x15901)+E(f12(a61,f22(f22(f6(a61),x15901),f52(x15902,x15901,x15903)),f51(x15902,x15901,x15903)),x15902)
% 15.75/15.79 [1604]P74(x16042,x16041,x16043)+P8(a61,x16041,f51(x16043,x16041,x16042))+E(x16041,f4(a61))+~P73(f22(x16042,f48(x16043,x16041,x16042)))
% 15.75/15.79 [1605]P74(x16052,x16051,x16053)+P8(a61,f47(x16053,x16051,x16052),x16051)+E(x16051,f4(a61))+~P73(f22(x16052,f52(x16053,x16051,x16052)))
% 15.75/15.79 [1608]P74(x16082,x16081,x16083)+E(x16081,f4(a61))+P7(a61,f4(a61),f47(x16083,x16081,x16082))+~P73(f22(x16082,f52(x16083,x16081,x16082)))
% 15.75/15.79 [1609]P74(x16092,x16091,x16093)+E(x16091,f4(a61))+P7(a61,f51(x16093,x16091,x16092),f4(a61))+~P73(f22(x16092,f48(x16093,x16091,x16092)))
% 15.75/15.79 [1627]P74(x16273,x16271,x16272)+P8(a61,x16271,f4(a61))+E(f12(a61,f22(f22(f6(a61),x16271),f48(x16272,x16271,x16273)),f47(x16272,x16271,x16273)),x16272)+~P73(f22(x16273,f4(a61)))
% 15.75/15.79 [1628]P74(x16283,x16281,x16282)+P8(a61,f4(a61),x16281)+E(f12(a61,f22(f22(f6(a61),x16281),f52(x16282,x16281,x16283)),f51(x16282,x16281,x16283)),x16282)+~P73(f22(x16283,f4(a61)))
% 15.75/15.79 [1636]P74(x16361,x16362,x16363)+P8(a61,x16362,f51(x16363,x16362,x16361))+~P73(f22(x16361,f48(x16363,x16362,x16361)))+~P73(f22(x16361,f4(a61)))
% 15.75/15.79 [1637]P74(x16371,x16372,x16373)+P8(a61,f47(x16373,x16372,x16371),x16372)+~P73(f22(x16371,f52(x16373,x16372,x16371)))+~P73(f22(x16371,f4(a61)))
% 15.75/15.79 [1638]P74(x16381,x16382,x16383)+P7(a61,f4(a61),f47(x16383,x16382,x16381))+~P73(f22(x16381,f52(x16383,x16382,x16381)))+~P73(f22(x16381,f4(a61)))
% 15.75/15.79 [1639]P74(x16391,x16392,x16393)+P7(a61,f51(x16393,x16392,x16391),f4(a61))+~P73(f22(x16391,f48(x16393,x16392,x16391)))+~P73(f22(x16391,f4(a61)))
% 15.75/15.79 [1651]P74(x16513,x16511,x16512)+P8(a61,x16511,f51(x16512,x16511,x16513))+E(x16511,f4(a61))+E(f12(a61,f22(f22(f6(a61),x16511),f48(x16512,x16511,x16513)),f47(x16512,x16511,x16513)),x16512)
% 15.75/15.79 [1652]P74(x16523,x16521,x16522)+P8(a61,f47(x16522,x16521,x16523),x16521)+E(x16521,f4(a61))+E(f12(a61,f22(f22(f6(a61),x16521),f52(x16522,x16521,x16523)),f51(x16522,x16521,x16523)),x16522)
% 15.75/15.79 [1655]P74(x16553,x16551,x16552)+E(x16551,f4(a61))+P7(a61,f4(a61),f47(x16552,x16551,x16553))+E(f12(a61,f22(f22(f6(a61),x16551),f52(x16552,x16551,x16553)),f51(x16552,x16551,x16553)),x16552)
% 15.75/15.79 [1656]P74(x16563,x16561,x16562)+E(x16561,f4(a61))+P7(a61,f51(x16562,x16561,x16563),f4(a61))+E(f12(a61,f22(f22(f6(a61),x16561),f48(x16562,x16561,x16563)),f47(x16562,x16561,x16563)),x16562)
% 15.75/15.79 [1673]P74(x16733,x16731,x16732)+P8(a61,x16731,f51(x16732,x16731,x16733))+E(f12(a61,f22(f22(f6(a61),x16731),f48(x16732,x16731,x16733)),f47(x16732,x16731,x16733)),x16732)+~P73(f22(x16733,f4(a61)))
% 15.75/15.79 [1674]P74(x16743,x16741,x16742)+P8(a61,f47(x16742,x16741,x16743),x16741)+E(f12(a61,f22(f22(f6(a61),x16741),f52(x16742,x16741,x16743)),f51(x16742,x16741,x16743)),x16742)+~P73(f22(x16743,f4(a61)))
% 15.75/15.79 [1675]P74(x16753,x16751,x16752)+P7(a61,f4(a61),f47(x16752,x16751,x16753))+E(f12(a61,f22(f22(f6(a61),x16751),f52(x16752,x16751,x16753)),f51(x16752,x16751,x16753)),x16752)+~P73(f22(x16753,f4(a61)))
% 15.75/15.79 [1676]P74(x16763,x16761,x16762)+P7(a61,f51(x16762,x16761,x16763),f4(a61))+E(f12(a61,f22(f22(f6(a61),x16761),f48(x16762,x16761,x16763)),f47(x16762,x16761,x16763)),x16762)+~P73(f22(x16763,f4(a61)))
% 15.75/15.79 [1700]P74(x17002,x17001,x17003)+E(x17001,f4(a61))+~P73(f22(x17002,f48(x17003,x17001,x17002)))+~P73(f22(x17002,f52(x17003,x17001,x17002)))
% 15.75/15.79 [1706]P74(x17061,x17062,x17063)+~P73(f22(x17061,f48(x17063,x17062,x17061)))+~P73(f22(x17061,f52(x17063,x17062,x17061)))+~P73(f22(x17061,f4(a61)))
% 15.75/15.79 [1710]P74(x17103,x17101,x17102)+E(x17101,f4(a61))+E(f12(a61,f22(f22(f6(a61),x17101),f48(x17102,x17101,x17103)),f47(x17102,x17101,x17103)),x17102)+~P73(f22(x17103,f52(x17102,x17101,x17103)))
% 15.75/15.79 [1711]P74(x17113,x17111,x17112)+E(x17111,f4(a61))+E(f12(a61,f22(f22(f6(a61),x17111),f52(x17112,x17111,x17113)),f51(x17112,x17111,x17113)),x17112)+~P73(f22(x17113,f48(x17112,x17111,x17113)))
% 15.75/15.79 [1722]P74(x17223,x17221,x17222)+E(f12(a61,f22(f22(f6(a61),x17221),f48(x17222,x17221,x17223)),f47(x17222,x17221,x17223)),x17222)+~P73(f22(x17223,f52(x17222,x17221,x17223)))+~P73(f22(x17223,f4(a61)))
% 15.75/15.79 [1723]P74(x17233,x17231,x17232)+E(f12(a61,f22(f22(f6(a61),x17231),f52(x17232,x17231,x17233)),f51(x17232,x17231,x17233)),x17232)+~P73(f22(x17233,f48(x17232,x17231,x17233)))+~P73(f22(x17233,f4(a61)))
% 15.75/15.79 [1726]P74(x17263,x17261,x17262)+E(x17261,f4(a61))+E(f12(a61,f22(f22(f6(a61),x17261),f52(x17262,x17261,x17263)),f51(x17262,x17261,x17263)),x17262)+E(f12(a61,f22(f22(f6(a61),x17261),f48(x17262,x17261,x17263)),f47(x17262,x17261,x17263)),x17262)
% 15.75/15.79 [1730]P74(x17303,x17301,x17302)+E(f12(a61,f22(f22(f6(a61),x17301),f52(x17302,x17301,x17303)),f51(x17302,x17301,x17303)),x17302)+E(f12(a61,f22(f22(f6(a61),x17301),f48(x17302,x17301,x17303)),f47(x17302,x17301,x17303)),x17302)+~P73(f22(x17303,f4(a61)))
% 15.75/15.79 [766]~P52(x7662)+E(x7661,f4(x7662))+E(x7663,f4(x7662))+~E(f22(f22(f6(x7662),x7663),x7661),f4(x7662))
% 15.75/15.79 [767]~P68(x7672)+E(x7671,f4(x7672))+E(x7673,f4(x7672))+~E(f22(f22(f6(x7672),x7673),x7671),f4(x7672))
% 15.75/15.79 [946]~P51(x9463)+E(x9461,x9462)+E(x9461,f5(x9463,x9462))+~E(f22(f22(f6(x9463),x9461),x9461),f22(f22(f6(x9463),x9462),x9462))
% 15.75/15.79 [1282]~P56(x12821)+~P8(x12821,f7(x12821),x12822)+~P8(a60,f4(a60),x12823)+P8(x12821,f7(x12821),f22(f22(f28(x12821),x12822),x12823))
% 15.75/15.79 [1294]~P57(x12941)+~P8(x12941,x12943,f4(x12941))+~P8(x12941,x12942,f4(x12941))+P8(x12941,f4(x12941),f22(f22(f6(x12941),x12942),x12943))
% 15.75/15.79 [1295]~P57(x12951)+~P7(x12951,x12953,f4(x12951))+~P7(x12951,x12952,f4(x12951))+P7(x12951,f4(x12951),f22(f22(f6(x12951),x12952),x12953))
% 15.75/15.79 [1297]~P64(x12971)+~P7(x12971,x12973,f4(x12971))+~P7(x12971,x12972,f4(x12971))+P7(x12971,f4(x12971),f22(f22(f6(x12971),x12972),x12973))
% 15.75/15.79 [1298]~P59(x12981)+~P8(x12981,f4(x12981),x12983)+~P8(x12981,f4(x12981),x12982)+P8(x12981,f4(x12981),f22(f22(f6(x12981),x12982),x12983))
% 15.75/15.79 [1299]~P56(x12991)+~P8(x12991,f7(x12991),x12993)+~P8(x12991,f7(x12991),x12992)+P8(x12991,f7(x12991),f22(f22(f6(x12991),x12992),x12993))
% 15.75/15.79 [1300]~P57(x13001)+~P7(x13001,f4(x13001),x13003)+~P7(x13001,f4(x13001),x13002)+P7(x13001,f4(x13001),f22(f22(f6(x13001),x13002),x13003))
% 15.75/15.79 [1301]~P63(x13011)+~P7(x13011,f4(x13011),x13013)+~P7(x13011,f4(x13011),x13012)+P7(x13011,f4(x13011),f22(f22(f6(x13011),x13012),x13013))
% 15.75/15.79 [1302]~P64(x13021)+~P7(x13021,f4(x13021),x13023)+~P7(x13021,f4(x13021),x13022)+P7(x13021,f4(x13021),f22(f22(f6(x13021),x13022),x13023))
% 15.75/15.79 [1304]~P59(x13041)+~P8(x13041,x13043,f4(x13041))+~P8(x13041,f4(x13041),x13042)+P8(x13041,f22(f22(f6(x13041),x13042),x13043),f4(x13041))
% 15.75/15.79 [1305]~P59(x13051)+~P8(x13051,x13052,f4(x13051))+~P8(x13051,f4(x13051),x13053)+P8(x13051,f22(f22(f6(x13051),x13052),x13053),f4(x13051))
% 15.75/15.79 [1307]~P57(x13071)+~P7(x13071,x13073,f4(x13071))+~P7(x13071,f4(x13071),x13072)+P7(x13071,f22(f22(f6(x13071),x13072),x13073),f4(x13071))
% 15.75/15.79 [1308]~P57(x13081)+~P7(x13081,x13082,f4(x13081))+~P7(x13081,f4(x13081),x13083)+P7(x13081,f22(f22(f6(x13081),x13082),x13083),f4(x13081))
% 15.75/15.79 [1310]~P63(x13101)+~P7(x13101,x13103,f4(x13101))+~P7(x13101,f4(x13101),x13102)+P7(x13101,f22(f22(f6(x13101),x13102),x13103),f4(x13101))
% 15.75/15.79 [1312]~P63(x13121)+~P7(x13121,x13122,f4(x13121))+~P7(x13121,f4(x13121),x13123)+P7(x13121,f22(f22(f6(x13121),x13122),x13123),f4(x13121))
% 15.75/15.79 [1338]~P57(x13381)+P7(x13381,x13382,f4(x13381))+P7(x13381,x13383,f4(x13381))+~P7(x13381,f22(f22(f6(x13381),x13383),x13382),f4(x13381))
% 15.75/15.79 [1339]~P57(x13391)+P7(x13391,x13392,f4(x13391))+P7(x13391,f4(x13391),x13393)+~P7(x13391,f4(x13391),f22(f22(f6(x13391),x13393),x13392))
% 15.75/15.79 [1340]~P57(x13401)+P7(x13401,x13402,f4(x13401))+P7(x13401,f4(x13401),x13403)+~P7(x13401,f4(x13401),f22(f22(f6(x13401),x13402),x13403))
% 15.75/15.79 [1341]~P57(x13411)+P7(x13411,f4(x13411),x13412)+P7(x13411,x13412,f4(x13411))+~P7(x13411,f4(x13411),f22(f22(f6(x13411),x13413),x13412))
% 15.75/15.79 [1342]~P57(x13421)+P7(x13421,f4(x13421),x13422)+P7(x13421,x13422,f4(x13421))+~P7(x13421,f4(x13421),f22(f22(f6(x13421),x13422),x13423))
% 15.75/15.79 [1343]~P57(x13431)+P7(x13431,f4(x13431),x13432)+P7(x13431,x13432,f4(x13431))+~P7(x13431,f22(f22(f6(x13431),x13433),x13432),f4(x13431))
% 15.75/15.79 [1344]~P57(x13441)+P7(x13441,f4(x13441),x13442)+P7(x13441,x13442,f4(x13441))+~P7(x13441,f22(f22(f6(x13441),x13442),x13443),f4(x13441))
% 15.75/15.79 [1345]~P57(x13451)+P7(x13451,f4(x13451),x13452)+P7(x13451,f4(x13451),x13453)+~P7(x13451,f22(f22(f6(x13451),x13452),x13453),f4(x13451))
% 15.75/15.79 [1390]~P59(x13901)+P8(x13901,f4(x13901),x13902)+~P8(x13901,f4(x13901),x13903)+~P8(x13901,f4(x13901),f22(f22(f6(x13901),x13903),x13902))
% 15.75/15.79 [1391]~P59(x13911)+P8(x13911,f4(x13911),x13912)+~P8(x13911,f4(x13911),x13913)+~P8(x13911,f4(x13911),f22(f22(f6(x13911),x13912),x13913))
% 15.75/15.79 [1544]~P4(x15441)+~E(x15443,f4(f63(x15441)))+~E(x15442,f4(f63(x15441)))+E(f22(f14(x15441,f25(x15441,x15442,x15443)),f3(x15441,f25(x15441,x15442,x15443))),f4(x15441))
% 15.75/15.79 [1585]~P56(x15851)+~P7(x15851,x15852,f7(x15851))+~P7(x15851,f4(x15851),x15852)+P7(x15851,f22(f22(f28(x15851),x15852),f12(a60,x15853,f7(a60))),x15852)
% 15.75/15.79 [1592]~P56(x15921)+~P8(x15921,x15922,f7(x15921))+~P8(x15921,f4(x15921),x15922)+P8(x15921,f22(f22(f28(x15921),x15922),f12(a60,x15923,f7(a60))),f7(x15921))
% 15.75/15.79 [1691]~P7(a60,x16912,x16913)+~P73(f22(f22(f23(a60),x16911),f8(a60,x16913,x16912)))+~P73(f22(f22(f23(a60),x16911),x16913))+P73(f22(f22(f23(a60),x16911),x16912))
% 15.75/15.79 [1692]~P7(a60,x16923,x16922)+~P73(f22(f22(f23(a60),x16921),f8(a60,x16922,x16923)))+~P73(f22(f22(f23(a60),x16921),x16923))+P73(f22(f22(f23(a60),x16921),x16922))
% 15.75/15.79 [1719]E(x17191,f9(a60,x17192,x17193))+~P8(a60,f4(a60),x17193)+~P7(a60,f22(f22(f6(a60),x17193),x17191),x17192)+~P8(a60,x17192,f22(f22(f6(a60),x17193),f12(a60,x17191,f7(a60))))
% 15.75/15.79 [1769]~P51(x17693)+E(x17691,x17692)+E(x17691,f5(x17693,x17692))+~E(f22(f22(f28(x17693),x17691),f12(a60,f12(a60,f4(a60),f7(a60)),f7(a60))),f22(f22(f28(x17693),x17692),f12(a60,f12(a60,f4(a60),f7(a60)),f7(a60))))
% 15.75/15.79 [1006]~P54(x10061)+~P9(x10061,x10063)+~P9(x10061,x10062)+P9(x10061,f22(f22(f6(f63(x10061)),x10062),x10063))
% 15.75/15.79 [1136]~P57(x11361)+~E(x11363,f4(x11361))+~E(x11362,f4(x11361))+E(f12(x11361,f22(f22(f6(x11361),x11362),x11362),f22(f22(f6(x11361),x11363),x11363)),f4(x11361))
% 15.75/15.79 [1325]~P51(x13252)+P7(a60,f3(x13252,x13253),f3(x13252,x13251))+E(x13251,f4(f63(x13252)))+~P73(f22(f22(f23(f63(x13252)),x13253),x13251))
% 15.75/15.79 [1462]~P8(a61,x14622,x14623)+~P8(a61,f4(a61),x14623)+P7(a61,f7(a61),x14621)+~E(f12(a61,x14622,f22(f22(f6(a61),x14623),x14621)),x14623)
% 15.75/15.79 [1466]~P8(a61,f4(a61),x14663)+~P7(a61,f4(a61),x14662)+P7(a61,x14661,f7(a61))+~E(f12(a61,x14662,f22(f22(f6(a61),x14663),x14661)),x14663)
% 15.75/15.79 [1603]~P57(x16031)+~E(x16033,f4(x16031))+~E(x16032,f4(x16031))+P7(x16031,f12(x16031,f22(f22(f6(x16031),x16032),x16032),f22(f22(f6(x16031),x16033),x16033)),f4(x16031))
% 15.75/15.79 [1640]~P56(x16401)+~P8(x16401,x16402,f7(x16401))+~P8(x16401,f4(x16401),x16402)+P8(x16401,f22(f22(f6(x16401),x16402),f22(f22(f28(x16401),x16402),x16403)),f22(f22(f28(x16401),x16402),x16403))
% 15.75/15.79 [1680]~P8(a61,x16802,x16803)+~P8(a61,f4(a61),x16803)+P7(a61,f4(a61),x16801)+~P7(a61,f4(a61),f12(a61,f22(f22(f6(a61),x16803),x16801),x16802))
% 15.75/15.79 [1682]P7(a61,x16821,f4(a61))+~P8(a61,f4(a61),x16822)+~P7(a61,f4(a61),x16823)+~P8(a61,f12(a61,f22(f22(f6(a61),x16822),x16821),x16823),f4(a61))
% 15.75/15.79 [1718]~P57(x17182)+~E(x17181,f4(x17182))+~E(x17183,f4(x17182))+~P8(x17182,f4(x17182),f12(x17182,f22(f22(f6(x17182),x17183),x17183),f22(f22(f6(x17182),x17181),x17181)))
% 15.75/15.79 [1165]~P51(x11652)+E(x11651,f4(f63(x11652)))+E(x11653,f4(f63(x11652)))+E(f3(x11652,f22(f22(f6(f63(x11652)),x11653),x11651)),f12(a60,f3(x11652,x11653),f3(x11652,x11651)))
% 15.75/15.79 [1039]~P40(x10391)+~P8(x10391,x10394,x10393)+P8(x10391,x10392,x10393)+~P8(x10391,x10392,x10394)
% 15.75/15.79 [1040]~P40(x10401)+~P7(x10401,x10404,x10403)+P8(x10401,x10402,x10403)+~P8(x10401,x10402,x10404)
% 15.75/15.79 [1041]~P40(x10411)+~P7(x10411,x10412,x10414)+P8(x10411,x10412,x10413)+~P8(x10411,x10414,x10413)
% 15.75/15.79 [1042]~P35(x10421)+~P8(x10421,x10422,x10424)+P8(x10421,x10422,x10423)+~P8(x10421,x10424,x10423)
% 15.75/15.79 [1043]~P35(x10431)+~P7(x10431,x10432,x10434)+P8(x10431,x10432,x10433)+~P8(x10431,x10434,x10433)
% 15.75/15.79 [1044]~P35(x10441)+~P7(x10441,x10444,x10443)+P8(x10441,x10442,x10443)+~P8(x10441,x10442,x10444)
% 15.75/15.79 [1045]~P40(x10451)+~P7(x10451,x10454,x10453)+P7(x10451,x10452,x10453)+~P7(x10451,x10452,x10454)
% 15.75/15.79 [1046]~P35(x10461)+~P7(x10461,x10462,x10464)+P7(x10461,x10462,x10463)+~P7(x10461,x10464,x10463)
% 15.75/15.79 [1148]~P39(x11482)+P7(f64(x11481,x11482),x11484,x11483)+~P7(f64(x11481,x11482),x11483,x11484)+P8(f64(x11481,x11482),x11483,x11484)
% 15.75/15.79 [1277]~P56(x12771)+~P8(x12771,x12772,x12774)+~P8(x12771,f4(x12771),x12773)+P8(x12771,x12772,f12(x12771,x12773,x12774))
% 15.75/15.79 [1278]~P30(x12781)+~P8(x12781,x12782,x12784)+~P7(x12781,f4(x12781),x12783)+P8(x12781,x12782,f12(x12781,x12783,x12784))
% 15.75/15.79 [1279]~P30(x12791)+~P7(x12791,x12792,x12794)+~P8(x12791,f4(x12791),x12793)+P8(x12791,x12792,f12(x12791,x12793,x12794))
% 15.75/15.79 [1280]~P30(x12801)+~P7(x12801,x12802,x12803)+~P7(x12801,f4(x12801),x12804)+P7(x12801,x12802,f12(x12801,x12803,x12804))
% 15.75/15.79 [1281]~P30(x12811)+~P7(x12811,x12812,x12814)+~P7(x12811,f4(x12811),x12813)+P7(x12811,x12812,f12(x12811,x12813,x12814))
% 15.75/15.79 [1763]~E(x17634,x17632)+~P4(x17631)+P11(x17631,x17632,f4(f63(x17631)),x17633,x17634)+~E(x17633,f4(f63(x17631)))
% 15.75/15.79 [1770]~P4(x17701)+P11(x17701,f4(f63(x17701)),x17702,x17703,x17704)+~E(x17704,f4(f63(x17701)))+~E(x17703,f4(f63(x17701)))
% 15.75/15.79 [1117]~P56(x11173)+E(x11171,x11172)+~P8(x11173,f7(x11173),x11174)+~E(f22(f22(f28(x11173),x11174),x11171),f22(f22(f28(x11173),x11174),x11172))
% 15.75/15.79 [1426]~P56(x14261)+~P8(a60,x14263,x14264)+~P8(x14261,f7(x14261),x14262)+P8(x14261,f22(f22(f28(x14261),x14262),x14263),f22(f22(f28(x14261),x14262),x14264))
% 15.75/15.79 [1427]~P56(x14271)+~P7(a60,x14273,x14274)+~P8(x14271,f7(x14271),x14272)+P7(x14271,f22(f22(f28(x14271),x14272),x14273),f22(f22(f28(x14271),x14272),x14274))
% 15.75/15.79 [1428]~P56(x14281)+~P7(a60,x14283,x14284)+~P7(x14281,f7(x14281),x14282)+P7(x14281,f22(f22(f28(x14281),x14282),x14283),f22(f22(f28(x14281),x14282),x14284))
% 15.75/15.79 [1437]~P57(x14371)+~P8(x14371,x14374,x14372)+~P8(x14371,x14373,f4(x14371))+P8(x14371,f22(f22(f6(x14371),x14372),x14373),f22(f22(f6(x14371),x14374),x14373))
% 15.75/15.79 [1438]~P57(x14381)+~P8(x14381,x14384,x14383)+~P8(x14381,x14382,f4(x14381))+P8(x14381,f22(f22(f6(x14381),x14382),x14383),f22(f22(f6(x14381),x14382),x14384))
% 15.75/15.79 [1439]~P57(x14391)+~P7(x14391,x14394,x14393)+~P8(x14391,x14392,f4(x14391))+P7(x14391,f22(f22(f6(x14391),x14392),x14393),f22(f22(f6(x14391),x14392),x14394))
% 15.75/15.79 [1440]~P64(x14401)+~P7(x14401,x14404,x14403)+~P7(x14401,x14402,f4(x14401))+P7(x14401,f22(f22(f6(x14401),x14402),x14403),f22(f22(f6(x14401),x14402),x14404))
% 15.75/15.79 [1441]~P64(x14411)+~P7(x14411,x14414,x14412)+~P7(x14411,x14413,f4(x14411))+P7(x14411,f22(f22(f6(x14411),x14412),x14413),f22(f22(f6(x14411),x14414),x14413))
% 15.75/15.79 [1442]~P59(x14421)+~P8(x14421,x14423,x14424)+~P8(x14421,f4(x14421),x14422)+P8(x14421,f22(f22(f6(x14421),x14422),x14423),f22(f22(f6(x14421),x14422),x14424))
% 15.75/15.79 [1444]~P55(x14441)+~P8(x14441,x14443,x14444)+~P8(x14441,f4(x14441),x14442)+P8(x14441,f22(f22(f6(x14441),x14442),x14443),f22(f22(f6(x14441),x14442),x14444))
% 15.75/15.79 [1445]~P57(x14451)+~P8(x14451,x14452,x14454)+~P8(x14451,f4(x14451),x14453)+P8(x14451,f22(f22(f6(x14451),x14452),x14453),f22(f22(f6(x14451),x14454),x14453))
% 15.75/15.79 [1446]~P59(x14461)+~P8(x14461,x14462,x14464)+~P8(x14461,f4(x14461),x14463)+P8(x14461,f22(f22(f6(x14461),x14462),x14463),f22(f22(f6(x14461),x14464),x14463))
% 15.75/15.79 [1447]~P57(x14471)+~P8(x14471,x14473,x14474)+~P8(x14471,f4(x14471),x14472)+P8(x14471,f22(f22(f6(x14471),x14472),x14473),f22(f22(f6(x14471),x14472),x14474))
% 15.75/15.79 [1448]~P57(x14481)+~P7(x14481,x14483,x14484)+~P8(x14481,f4(x14481),x14482)+P7(x14481,f22(f22(f6(x14481),x14482),x14483),f22(f22(f6(x14481),x14482),x14484))
% 15.75/15.79 [1449]~P66(x14491)+~P7(x14491,x14493,x14494)+~P7(x14491,f4(x14491),x14492)+P7(x14491,f22(f22(f6(x14491),x14492),x14493),f22(f22(f6(x14491),x14492),x14494))
% 15.75/15.79 [1450]~P65(x14501)+~P7(x14501,x14503,x14504)+~P7(x14501,f4(x14501),x14502)+P7(x14501,f22(f22(f6(x14501),x14502),x14503),f22(f22(f6(x14501),x14502),x14504))
% 15.75/15.79 [1451]~P66(x14511)+~P7(x14511,x14512,x14514)+~P7(x14511,f4(x14511),x14513)+P7(x14511,f22(f22(f6(x14511),x14512),x14513),f22(f22(f6(x14511),x14514),x14513))
% 15.75/15.79 [1452]~P56(x14521)+~P7(x14521,x14522,x14524)+~P7(x14521,f4(x14521),x14522)+P7(x14521,f22(f22(f28(x14521),x14522),x14523),f22(f22(f28(x14521),x14524),x14523))
% 15.75/15.79 [1453]~P1(x14531)+~P73(f22(f22(f23(x14531),x14532),x14534))+P73(f22(f22(f23(x14531),x14532),x14533))+~P73(f22(f22(f23(x14531),x14534),x14533))
% 15.75/15.79 [1522]P8(x15221,x15223,x15222)+~P57(x15221)+P8(x15221,x15222,x15223)+~P8(x15221,f22(f22(f6(x15221),x15224),x15222),f22(f22(f6(x15221),x15224),x15223))
% 15.75/15.79 [1523]P8(x15231,x15233,x15232)+~P57(x15231)+P8(x15231,x15232,x15233)+~P8(x15231,f22(f22(f6(x15231),x15232),x15234),f22(f22(f6(x15231),x15233),x15234))
% 15.75/15.79 [1527]~P57(x15271)+P8(x15271,x15272,x15273)+P8(x15271,x15274,f4(x15271))+~P8(x15271,f22(f22(f6(x15271),x15272),x15274),f22(f22(f6(x15271),x15273),x15274))
% 15.75/15.79 [1528]~P57(x15281)+P8(x15281,x15282,x15283)+P8(x15281,x15284,f4(x15281))+~P8(x15281,f22(f22(f6(x15281),x15284),x15282),f22(f22(f6(x15281),x15284),x15283))
% 15.75/15.79 [1529]~P57(x15291)+P8(x15291,x15292,x15293)+P8(x15291,f4(x15291),x15294)+~P8(x15291,f22(f22(f6(x15291),x15294),x15293),f22(f22(f6(x15291),x15294),x15292))
% 15.75/15.79 [1530]~P57(x15301)+P8(x15301,x15302,x15303)+P8(x15301,f4(x15301),x15304)+~P8(x15301,f22(f22(f6(x15301),x15303),x15304),f22(f22(f6(x15301),x15302),x15304))
% 15.75/15.79 [1538]~P57(x15381)+P8(x15381,f4(x15381),x15382)+P8(x15381,x15382,f4(x15381))+~P8(x15381,f22(f22(f6(x15381),x15383),x15382),f22(f22(f6(x15381),x15384),x15382))
% 15.75/15.79 [1539]~P57(x15391)+P8(x15391,f4(x15391),x15392)+P8(x15391,x15392,f4(x15391))+~P8(x15391,f22(f22(f6(x15391),x15392),x15393),f22(f22(f6(x15391),x15392),x15394))
% 15.75/15.79 [1563]~P56(x15633)+P8(a60,x15631,x15632)+~P8(x15633,f7(x15633),x15634)+~P8(x15633,f22(f22(f28(x15633),x15634),x15631),f22(f22(f28(x15633),x15634),x15632))
% 15.75/15.79 [1565]~P56(x15653)+P7(a60,x15651,x15652)+~P8(x15653,f7(x15653),x15654)+~P7(x15653,f22(f22(f28(x15653),x15654),x15651),f22(f22(f28(x15653),x15654),x15652))
% 15.75/15.79 [1566]~P57(x15661)+P8(x15661,x15662,x15663)+~P8(x15661,x15664,f4(x15661))+~P8(x15661,f22(f22(f6(x15661),x15664),x15663),f22(f22(f6(x15661),x15664),x15662))
% 15.75/15.79 [1567]~P57(x15671)+P7(x15671,x15672,x15673)+~P8(x15671,x15674,f4(x15671))+~P7(x15671,f22(f22(f6(x15671),x15674),x15673),f22(f22(f6(x15671),x15674),x15672))
% 15.75/15.79 [1568]~P59(x15681)+P8(x15681,x15682,x15683)+~P7(x15681,f4(x15681),x15684)+~P8(x15681,f22(f22(f6(x15681),x15684),x15682),f22(f22(f6(x15681),x15684),x15683))
% 15.75/15.79 [1569]~P60(x15691)+P8(x15691,x15692,x15693)+~P7(x15691,f4(x15691),x15694)+~P8(x15691,f22(f22(f6(x15691),x15694),x15692),f22(f22(f6(x15691),x15694),x15693))
% 15.75/15.79 [1570]~P57(x15701)+P8(x15701,x15702,x15703)+~P8(x15701,f4(x15701),x15704)+~P8(x15701,f22(f22(f6(x15701),x15704),x15702),f22(f22(f6(x15701),x15704),x15703))
% 15.75/15.79 [1571]~P56(x15711)+P8(x15711,x15712,x15713)+~P7(x15711,f4(x15711),x15713)+~P8(x15711,f22(f22(f28(x15711),x15712),x15714),f22(f22(f28(x15711),x15713),x15714))
% 15.75/15.79 [1572]~P59(x15721)+P8(x15721,x15722,x15723)+~P7(x15721,f4(x15721),x15724)+~P8(x15721,f22(f22(f6(x15721),x15722),x15724),f22(f22(f6(x15721),x15723),x15724))
% 15.75/15.79 [1573]~P60(x15731)+P8(x15731,x15732,x15733)+~P7(x15731,f4(x15731),x15734)+~P8(x15731,f22(f22(f6(x15731),x15732),x15734),f22(f22(f6(x15731),x15733),x15734))
% 15.75/15.79 [1574]~P59(x15741)+P7(x15741,x15742,x15743)+~P8(x15741,f4(x15741),x15744)+~P7(x15741,f22(f22(f6(x15741),x15744),x15742),f22(f22(f6(x15741),x15744),x15743))
% 15.75/15.79 [1575]~P57(x15751)+P7(x15751,x15752,x15753)+~P8(x15751,f4(x15751),x15754)+~P7(x15751,f22(f22(f6(x15751),x15754),x15752),f22(f22(f6(x15751),x15754),x15753))
% 15.75/15.79 [1576]~P59(x15761)+P7(x15761,x15762,x15763)+~P8(x15761,f4(x15761),x15764)+~P7(x15761,f22(f22(f6(x15761),x15762),x15764),f22(f22(f6(x15761),x15763),x15764))
% 15.75/15.79 [1581]~P3(x15811)+~P8(a60,f3(x15811,x15813),x15814)+~P8(a60,f3(x15811,x15812),x15814)+P8(a60,f3(x15811,f8(f63(x15811),x15812,x15813)),x15814)
% 15.75/15.79 [1582]~P16(x15821)+~P8(a60,f3(x15821,x15823),x15824)+~P8(a60,f3(x15821,x15822),x15824)+P8(a60,f3(x15821,f12(f63(x15821),x15822,x15823)),x15824)
% 15.75/15.79 [1583]~P3(x15831)+~P7(a60,f3(x15831,x15833),x15834)+~P7(a60,f3(x15831,x15832),x15834)+P7(a60,f3(x15831,f8(f63(x15831),x15832,x15833)),x15834)
% 15.75/15.79 [1584]~P16(x15841)+~P7(a60,f3(x15841,x15843),x15844)+~P7(a60,f3(x15841,x15842),x15844)+P7(a60,f3(x15841,f12(f63(x15841),x15842,x15843)),x15844)
% 15.75/15.79 [1634]~P40(x16341)+P7(x16341,f22(x16342,x16343),f22(x16342,x16344))+~P10(a60,x16341,f23(a60),x16342)+~P73(f22(f22(f23(a60),x16343),x16344))
% 15.75/15.79 [1641]~P32(x16411)+P73(f22(f22(f23(x16411),x16412),f8(x16411,x16413,x16414)))+~P73(f22(f22(f23(x16411),x16412),x16414))+~P73(f22(f22(f23(x16411),x16412),x16413))
% 15.75/15.79 [1642]~P1(x16421)+P73(f22(f22(f23(x16421),x16422),f12(x16421,x16423,x16424)))+~P73(f22(f22(f23(x16421),x16422),x16424))+~P73(f22(f22(f23(x16421),x16422),x16423))
% 15.75/15.79 [1683]~P5(x16831)+E(f12(x16831,f9(x16831,x16832,x16833),f9(x16831,x16834,x16833)),f9(x16831,f12(x16831,x16832,x16834),x16833))+~P73(f22(f22(f23(x16831),x16833),x16834))+~P73(f22(f22(f23(x16831),x16833),x16832))
% 15.75/15.79 [1735]~P73(f22(x17351,x17354))+~P7(a60,f22(f22(f6(a60),x17353),x17354),x17352)+~P8(a60,x17352,f22(f22(f6(a60),x17353),f12(a60,x17354,f7(a60))))+P73(f22(x17351,f9(a60,x17352,x17353)))
% 15.75/15.79 [1766]~P56(x17661)+P7(x17661,x17662,x17663)+~P7(x17661,f4(x17661),x17663)+~P7(x17661,f22(f22(f28(x17661),x17662),f12(a60,x17664,f7(a60))),f22(f22(f28(x17661),x17663),f12(a60,x17664,f7(a60))))
% 15.75/15.79 [1615]~P50(x16153)+~P70(x16153)+P73(f22(x16151,f59(x16152,x16151,x16153)))+~P73(f22(x16151,f22(f22(f6(x16153),x16152),x16154)))
% 15.75/15.79 [1704]~P4(x17041)+P73(f22(f22(f23(f63(x17041)),x17042),f25(x17041,x17043,x17044)))+~P73(f22(f22(f23(f63(x17041)),x17042),x17044))+~P73(f22(f22(f23(f63(x17041)),x17042),x17043))
% 15.75/15.79 [1750]~P50(x17501)+~P70(x17501)+P73(f22(f22(f23(x17501),x17502),f12(x17501,f59(x17502,x17503,x17501),f4(x17501))))+~P73(f22(x17503,f22(f22(f6(x17501),x17502),x17504)))
% 15.75/15.79 [1764]~P51(x17642)+E(x17641,f4(x17642))+P73(f22(f22(f23(x17642),x17643),x17644))+~P73(f22(f22(f23(x17642),f22(f22(f6(x17642),x17643),x17641)),f22(f22(f6(x17642),x17644),x17641)))
% 15.75/15.79 [1765]~P51(x17652)+E(x17651,f4(x17652))+P73(f22(f22(f23(x17652),x17653),x17654))+~P73(f22(f22(f23(x17652),f22(f22(f6(x17652),x17651),x17653)),f22(f22(f6(x17652),x17651),x17654)))
% 15.75/15.79 [944]~P3(x9445)+E(x9441,x9442)+~E(x9443,x9444)+~E(f8(x9445,x9443,x9444),f8(x9445,x9441,x9442))
% 15.75/15.79 [1204]~P24(x12041)+~P8(x12041,x12044,x12045)+P8(x12041,x12042,x12043)+~E(f8(x12041,x12044,x12045),f8(x12041,x12042,x12043))
% 15.75/15.79 [1206]~P24(x12061)+~P7(x12061,x12064,x12065)+P7(x12061,x12062,x12063)+~E(f8(x12061,x12064,x12065),f8(x12061,x12062,x12063))
% 15.75/15.79 [1429]~P29(x14291)+~P8(x14291,x14293,x14295)+~P8(x14291,x14292,x14294)+P8(x14291,f12(x14291,x14292,x14293),f12(x14291,x14294,x14295))
% 15.75/15.79 [1430]~P29(x14301)+~P8(x14301,x14303,x14305)+~P7(x14301,x14302,x14304)+P8(x14301,f12(x14301,x14302,x14303),f12(x14301,x14304,x14305))
% 15.75/15.79 [1431]~P29(x14311)+~P8(x14311,x14312,x14314)+~P7(x14311,x14313,x14315)+P8(x14311,f12(x14311,x14312,x14313),f12(x14311,x14314,x14315))
% 15.75/15.79 [1432]~P28(x14321)+~P7(x14321,x14323,x14325)+~P7(x14321,x14322,x14324)+P7(x14321,f12(x14321,x14322,x14323),f12(x14321,x14324,x14325))
% 15.75/15.79 [1795]~P4(x17952)+~P11(x17952,x17954,x17953,x17951,x17955)+E(x17951,f4(f63(x17952)))+~E(x17953,f4(f63(x17952)))
% 15.75/15.79 [1699]~P72(x16995)+E(x16991,x16992)+E(x16993,x16994)+~E(f12(x16995,f22(f22(f6(x16995),x16993),x16991),f22(f22(f6(x16995),x16994),x16992)),f12(x16995,f22(f22(f6(x16995),x16993),x16992),f22(f22(f6(x16995),x16994),x16991)))
% 15.75/15.79 [1724]~P5(x17241)+E(f9(x17241,f22(f22(f6(x17241),x17242),x17243),f22(f22(f6(x17241),x17244),x17245)),f22(f22(f6(x17241),f9(x17241,x17242,x17244)),f9(x17241,x17243,x17245)))+~P73(f22(f22(f23(x17241),x17245),x17243))+~P73(f22(f22(f23(x17241),x17244),x17242))
% 15.75/15.79 [1725]~P1(x17251)+~P7(a60,x17253,x17255)+~P73(f22(f22(f23(x17251),x17252),x17254))+P73(f22(f22(f23(x17251),f22(f22(f28(x17251),x17252),x17253)),f22(f22(f28(x17251),x17254),x17255)))
% 15.75/15.79 [1732]~P1(x17321)+~P73(f22(f22(f23(x17321),x17323),x17325))+~P73(f22(f22(f23(x17321),x17322),x17324))+P73(f22(f22(f23(x17321),f22(f22(f6(x17321),x17322),x17323)),f22(f22(f6(x17321),x17324),x17325)))
% 15.75/15.79 [1778]~P1(x17781)+~P7(a60,x17783,x17785)+~P73(f22(f22(f23(x17781),f22(f22(f28(x17781),x17782),x17785)),x17784))+P73(f22(f22(f23(x17781),f22(f22(f28(x17781),x17782),x17783)),x17784))
% 15.75/15.79 [1845]E(x18451,x18452)+~P11(x18453,x18454,x18455,x18456,x18451)+~P11(x18453,x18454,x18455,x18457,x18452)+~P4(x18453)
% 15.75/15.79 [1846]E(x18461,x18462)+~P11(x18463,x18464,x18465,x18462,x18466)+~P11(x18463,x18464,x18465,x18461,x18467)+~P4(x18463)
% 15.75/15.79 [1852]~P4(x18521)+~P11(x18521,x18522,x18523,x18528,x18527)+~P11(x18521,x18528,x18524,x18525,x18526)+P11(x18521,x18522,f22(f22(f6(f63(x18521)),x18523),x18524),x18525,f12(f63(x18521),f22(f22(f6(f63(x18521)),x18523),x18526),x18527))
% 15.75/15.79 [1474]E(x14741,x14742)+~P7(a61,f4(a61),x14742)+~P7(a61,f4(a61),x14741)+~P73(f22(f22(f23(a61),x14742),x14741))+~P73(f22(f22(f23(a61),x14741),x14742))
% 15.75/15.79 [1149]~P30(x11492)+~P7(x11492,f4(x11492),x11493)+~P7(x11492,f4(x11492),x11491)+~E(f12(x11492,x11493,x11491),f4(x11492))+E(x11491,f4(x11492))
% 15.75/15.79 [1150]~P30(x11502)+~P7(x11502,f4(x11502),x11503)+~P7(x11502,f4(x11502),x11501)+~E(f12(x11502,x11501,x11503),f4(x11502))+E(x11501,f4(x11502))
% 15.75/15.79 [1145]~P2(x11452)+~P7(a60,f3(x11452,x11451),x11453)+P8(a60,f3(x11452,x11451),x11453)+~E(f22(f14(x11452,x11451),x11453),f4(x11452))+E(x11451,f4(f63(x11452)))
% 15.75/15.79 [1455]~P54(x14551)+~P7(x14551,x14552,f7(x14551))+~P7(x14551,f4(x14551),x14552)+~P7(x14551,f4(x14551),x14553)+P7(x14551,f22(f22(f6(x14551),x14552),x14553),x14553)
% 15.75/15.79 [1456]~P54(x14561)+~P7(x14561,x14563,f7(x14561))+~P7(x14561,f4(x14561),x14563)+~P7(x14561,f4(x14561),x14562)+P7(x14561,f22(f22(f6(x14561),x14562),x14563),x14562)
% 15.75/15.79 [1659]~P51(x16593)+E(x16591,x16592)+~E(f22(f14(x16593,x16591),f3(x16593,x16591)),f22(f14(x16593,x16592),f3(x16593,x16592)))+~P73(f22(f22(f23(f63(x16593)),x16592),x16591))+~P73(f22(f22(f23(f63(x16593)),x16591),x16592))
% 15.75/15.79 [1631]~E(f3(a2,x16312),x16311)+~P8(a60,x16311,a67)+E(x16311,f4(a60))+E(f22(f17(a2,x16312),f56(x16311,x16312,x16313)),f4(a2))+P73(f22(f22(f23(f63(a2)),x16312),f22(f22(f28(f63(a2)),x16313),x16311)))
% 15.75/15.79 [1666]~E(f3(a2,x16662),x16661)+~P8(a60,x16661,a67)+E(x16661,f4(a60))+~E(f22(f17(a2,x16663),f56(x16661,x16662,x16663)),f4(a2))+P73(f22(f22(f23(f63(a2)),x16662),f22(f22(f28(f63(a2)),x16663),x16661)))
% 15.75/15.79 [1207]~P5(x12072)+E(x12071,f4(x12072))+E(f9(x12072,x12073,x12071),x12074)+~E(x12073,f22(f22(f6(x12072),x12074),x12071))+~P73(f22(f22(f23(x12072),x12071),x12073))
% 15.75/15.79 [1208]~P5(x12082)+~E(f9(x12082,x12083,x12081),x12084)+E(x12081,f4(x12082))+E(x12083,f22(f22(f6(x12082),x12084),x12081))+~P73(f22(f22(f23(x12082),x12081),x12083))
% 15.75/15.79 [1541]~P56(x15411)+~P8(x15411,x15412,x15414)+~P7(x15411,f4(x15411),x15412)+~P8(a60,f4(a60),x15413)+P8(x15411,f22(f22(f28(x15411),x15412),x15413),f22(f22(f28(x15411),x15414),x15413))
% 15.75/15.79 [1547]~P56(x15471)+~P8(a60,x15474,x15473)+~P8(x15471,x15472,f7(x15471))+~P8(x15471,f4(x15471),x15472)+P8(x15471,f22(f22(f28(x15471),x15472),x15473),f22(f22(f28(x15471),x15472),x15474))
% 15.75/15.79 [1548]~P56(x15481)+~P7(a60,x15484,x15483)+~P7(x15481,x15482,f7(x15481))+~P7(x15481,f4(x15481),x15482)+P7(x15481,f22(f22(f28(x15481),x15482),x15483),f22(f22(f28(x15481),x15482),x15484))
% 15.75/15.79 [1661]~P56(x16613)+E(x16611,x16612)+~P7(x16613,f4(x16613),x16612)+~P7(x16613,f4(x16613),x16611)+~E(f22(f22(f28(x16613),x16611),f12(a60,x16614,f7(a60))),f22(f22(f28(x16613),x16612),f12(a60,x16614,f7(a60))))
% 15.75/15.79 [1768]~P5(x17681)+P73(f22(f22(f23(x17681),f9(x17681,x17682,x17683)),f9(x17681,x17684,x17683)))+~P73(f22(f22(f23(x17681),x17683),x17684))+~P73(f22(f22(f23(x17681),x17683),x17682))+~P73(f22(f22(f23(x17681),x17682),x17684))
% 15.75/15.79 [1772]~P50(x17722)+~P70(x17722)+~P73(f22(x17721,x17724))+~P73(f22(f22(f23(x17722),x17723),f12(x17722,x17724,f4(x17722))))+P73(f22(x17721,f22(f22(f6(x17722),x17723),f35(x17723,x17721,x17722))))
% 15.75/15.79 [1783]~P5(x17831)+~P73(f22(f22(f23(x17831),f9(x17831,x17832,x17834)),f9(x17831,x17833,x17834)))+P73(f22(f22(f23(x17831),x17832),x17833))+~P73(f22(f22(f23(x17831),x17834),x17833))+~P73(f22(f22(f23(x17831),x17834),x17832))
% 15.75/15.79 [1733]~P8(a61,f4(a61),x17333)+~P7(a61,f4(a61),x17332)+~P73(f22(x17331,x17334))+P73(f22(x17331,f42(x17332,x17331,x17333)))+P73(f22(x17331,f8(a61,x17334,f22(f22(f6(a61),x17332),x17333))))
% 15.75/15.79 [1734]~P8(a61,f4(a61),x17343)+~P7(a61,f4(a61),x17342)+~P73(f22(x17341,x17344))+P73(f22(x17341,f45(x17342,x17341,x17343)))+P73(f22(x17341,f12(a61,x17344,f22(f22(f6(a61),x17342),x17343))))
% 15.75/15.79 [1791]~P8(a61,f4(a61),x17914)+~P7(a61,f4(a61),x17913)+~P73(f22(x17911,x17912))+~P73(f22(x17911,f8(a61,f42(x17913,x17911,x17914),x17914)))+P73(f22(x17911,f8(a61,x17912,f22(f22(f6(a61),x17913),x17914))))
% 15.75/15.79 [1792]~P8(a61,f4(a61),x17924)+~P7(a61,f4(a61),x17923)+~P73(f22(x17921,x17922))+~P73(f22(x17921,f12(a61,f45(x17923,x17921,x17924),x17924)))+P73(f22(x17921,f12(a61,x17922,f22(f22(f6(a61),x17923),x17924))))
% 15.75/15.79 [1804]~P4(x18042)+~P11(x18042,x18044,x18043,x18045,x18041)+P8(a60,f3(x18042,x18041),f3(x18042,x18043))+E(x18041,f4(f63(x18042)))+E(x18043,f4(f63(x18042)))
% 15.75/15.79 [1663]~P8(a60,x16635,x16631)+E(x16631,f4(a60))+P73(f22(x16632,x16633))+~P73(f22(x16632,f9(a60,x16634,x16631)))+~E(x16634,f12(a60,f22(f22(f6(a60),x16631),x16633),x16635))
% 15.75/15.79 [1773]P7(a61,x17731,x17732)+~P8(a61,x17733,x17734)+~P8(a61,x17733,x17735)+~P7(a61,x17734,f4(a61))+~P7(a61,f12(a61,f22(f22(f6(a61),x17733),x17732),x17735),f12(a61,f22(f22(f6(a61),x17733),x17731),x17734))
% 15.75/15.79 [1774]P7(a61,x17741,x17742)+~P8(a61,x17743,x17744)+~P8(a61,x17745,x17744)+~P7(a61,f4(a61),x17745)+~P7(a61,f12(a61,f22(f22(f6(a61),x17744),x17741),x17745),f12(a61,f22(f22(f6(a61),x17744),x17742),x17743))
% 15.75/15.79 [1780]~P4(x17802)+P11(x17802,x17803,x17801,x17804,x17805)+E(x17801,f4(f63(x17802)))+~E(x17805,f4(f63(x17802)))+~E(x17803,f12(f63(x17802),f22(f22(f6(f63(x17802)),x17804),x17801),x17805))
% 15.75/15.79 [1781]~P4(x17811)+P11(x17811,x17812,x17813,x17814,x17815)+~E(x17814,f4(f63(x17811)))+~E(x17815,f4(f63(x17811)))+~E(x17812,f12(f63(x17811),f22(f22(f6(f63(x17811)),x17814),x17813),x17815))
% 15.75/15.79 [1782]~P4(x17821)+P11(x17821,x17822,x17823,x17824,x17825)+~E(x17824,f4(f63(x17821)))+~E(x17823,f4(f63(x17821)))+~E(x17822,f12(f63(x17821),f22(f22(f6(f63(x17821)),x17824),x17823),x17825))
% 15.75/15.79 [1786]~P4(x17862)+P11(x17862,x17863,x17861,x17864,x17865)+~P8(a60,f3(x17862,x17865),f3(x17862,x17861))+E(x17861,f4(f63(x17862)))+~E(x17863,f12(f63(x17862),f22(f22(f6(f63(x17862)),x17864),x17861),x17865))
% 15.75/15.79 [1787]~P4(x17871)+P11(x17871,x17872,x17873,x17874,x17875)+~P8(a60,f3(x17871,x17875),f3(x17871,x17873))+~E(x17874,f4(f63(x17871)))+~E(x17872,f12(f63(x17871),f22(f22(f6(f63(x17871)),x17874),x17873),x17875))
% 15.75/15.79 [1511]~P72(x15114)+E(x15111,x15112)+~E(x15115,x15116)+E(x15113,f4(x15114))+~E(f12(x15114,x15115,f22(f22(f6(x15114),x15113),x15111)),f12(x15114,x15116,f22(f22(f6(x15114),x15113),x15112)))
% 15.75/15.79 [1813]~P50(x18131)+~P41(x18131)+~P73(f22(f22(f23(x18131),x18132),f12(x18131,x18133,x18136)))+~P73(f22(f22(f23(x18131),x18132),x18135))+P73(f22(f22(f23(x18131),x18132),f12(x18131,f8(x18131,x18133,f22(f22(f6(x18131),x18134),x18135)),x18136)))
% 15.75/15.79 [1838]~P50(x18381)+~P41(x18381)+P73(f22(f22(f23(x18381),x18382),f12(x18381,x18383,x18384)))+~P73(f22(f22(f23(x18381),x18382),x18385))+~P73(f22(f22(f23(x18381),x18382),f12(x18381,f8(x18381,x18383,f22(f22(f6(x18381),x18386),x18385)),x18384)))
% 15.75/15.79 [1125]~P30(x11251)+~P7(x11251,f4(x11251),x11253)+~P7(x11251,f4(x11251),x11252)+~E(x11253,f4(x11251))+~E(x11252,f4(x11251))+E(f12(x11251,x11252,x11253),f4(x11251))
% 15.75/15.79 [815]~P52(x8152)+~P53(x8152)+~P69(x8152)+~P33(x8152)+E(x8151,f4(x8152))+~E(f22(f22(f28(x8152),x8151),x8153),f4(x8152))
% 15.75/15.79 [816]~P52(x8162)+~P53(x8162)+~P69(x8162)+~P33(x8162)+~E(x8161,f4(a60))+~E(f22(f22(f28(x8162),x8163),x8161),f4(x8162))
% 15.75/15.79 [1461]~P56(x14613)+E(x14611,x14612)+~P7(x14613,f4(x14613),x14612)+~P7(x14613,f4(x14613),x14611)+~P8(a60,f4(a60),x14614)+~E(f22(f22(f28(x14613),x14611),x14614),f22(f22(f28(x14613),x14612),x14614))
% 15.75/15.79 [1514]~P8(a61,x15141,x15144)+E(f9(a61,x15142,x15141),x15143)+E(x15141,f4(a61))+P8(a61,f4(a61),x15141)+~P7(a61,x15144,f4(a61))+~E(x15142,f12(a61,f22(f22(f6(a61),x15141),x15143),x15144))
% 15.75/15.79 [1552]~P8(a61,x15524,x15521)+E(f9(a61,x15522,x15521),x15523)+E(x15521,f4(a61))+~P8(a61,f4(a61),x15521)+~P7(a61,f4(a61),x15524)+~E(x15522,f12(a61,f22(f22(f6(a61),x15521),x15523),x15524))
% 15.75/15.79 [1618]~P59(x16181)+~P8(x16181,x16183,x16185)+~P8(x16181,x16182,x16184)+~P8(x16181,f4(x16181),x16184)+~P7(x16181,f4(x16181),x16183)+P8(x16181,f22(f22(f6(x16181),x16182),x16183),f22(f22(f6(x16181),x16184),x16185))
% 15.75/15.79 [1619]~P59(x16191)+~P8(x16191,x16193,x16195)+~P8(x16191,x16192,x16194)+~P7(x16191,f4(x16191),x16193)+~P7(x16191,f4(x16191),x16192)+P8(x16191,f22(f22(f6(x16191),x16192),x16193),f22(f22(f6(x16191),x16194),x16195))
% 15.75/15.79 [1620]~P59(x16201)+~P8(x16201,x16203,x16205)+~P7(x16201,x16202,x16204)+~P8(x16201,f4(x16201),x16202)+~P7(x16201,f4(x16201),x16203)+P8(x16201,f22(f22(f6(x16201),x16202),x16203),f22(f22(f6(x16201),x16204),x16205))
% 15.75/15.79 [1621]~P59(x16211)+~P8(x16211,x16212,x16214)+~P7(x16211,x16213,x16215)+~P8(x16211,f4(x16211),x16213)+~P7(x16211,f4(x16211),x16212)+P8(x16211,f22(f22(f6(x16211),x16212),x16213),f22(f22(f6(x16211),x16214),x16215))
% 15.75/15.79 [1622]~P66(x16221)+~P7(x16221,x16223,x16225)+~P7(x16221,x16222,x16224)+~P7(x16221,f4(x16221),x16223)+~P7(x16221,f4(x16221),x16224)+P7(x16221,f22(f22(f6(x16221),x16222),x16223),f22(f22(f6(x16221),x16224),x16225))
% 15.75/15.79 [1623]~P66(x16231)+~P7(x16231,x16233,x16235)+~P7(x16231,x16232,x16234)+~P7(x16231,f4(x16231),x16233)+~P7(x16231,f4(x16231),x16232)+P7(x16231,f22(f22(f6(x16231),x16232),x16233),f22(f22(f6(x16231),x16234),x16235))
% 15.75/15.79 [1606]~P74(x16061,x16064,x16063)+~P8(a61,x16064,x16065)+~P8(a61,x16064,f4(a61))+~P7(a61,x16065,f4(a61))+P73(f22(x16061,x16062))+~E(x16063,f12(a61,f22(f22(f6(a61),x16064),x16062),x16065))
% 15.75/15.79 [1607]~P74(x16071,x16074,x16073)+~P8(a61,x16075,x16074)+~P8(a61,f4(a61),x16074)+~P7(a61,f4(a61),x16075)+P73(f22(x16071,x16072))+~E(x16073,f12(a61,f22(f22(f6(a61),x16074),x16072),x16075))
% 15.75/15.79 [1785]~P8(a61,x17853,x17855)+~P8(a61,f4(a61),x17855)+~P7(a61,f4(a61),x17853)+P73(f22(f22(x17851,x17852),x17853))+~P73(f22(f22(x17851,f9(a61,x17854,x17855)),f11(a61,x17854,x17855)))+~E(x17854,f12(a61,f22(f22(f6(a61),x17855),x17852),x17853))
% 15.75/15.79 [747]~P52(x7472)+~P53(x7472)+~P69(x7472)+~P33(x7472)+~E(x7473,f4(x7472))+E(x7471,f4(a60))+E(f22(f22(f28(x7472),x7473),x7471),f4(x7472))
% 15.75/15.79 [1617]~P8(a61,x16174,x16171)+~P8(a61,x16171,x16174)+E(f9(a61,x16172,x16171),x16173)+E(x16171,f4(a61))+~P7(a61,x16174,f4(a61))+~P7(a61,f4(a61),x16174)+~E(x16172,f12(a61,f22(f22(f6(a61),x16171),x16173),x16174))
% 15.75/15.79 [1828]~P4(x18282)+E(f25(x18282,x18283,x18281),x18284)+~E(f22(f14(x18282,x18284),f3(x18282,x18284)),f7(x18282))+E(x18281,f4(f63(x18282)))+P73(f22(f22(f23(f63(x18282)),f46(x18281,x18283,x18284,x18282)),x18283))+~P73(f22(f22(f23(f63(x18282)),x18284),x18283))+~P73(f22(f22(f23(f63(x18282)),x18284),x18281))
% 15.75/15.79 [1829]~P4(x18292)+E(f25(x18292,x18293,x18291),x18294)+~E(f22(f14(x18292,x18294),f3(x18292,x18294)),f7(x18292))+E(x18291,f4(f63(x18292)))+P73(f22(f22(f23(f63(x18292)),f46(x18291,x18293,x18294,x18292)),x18291))+~P73(f22(f22(f23(f63(x18292)),x18294),x18293))+~P73(f22(f22(f23(f63(x18292)),x18294),x18291))
% 15.75/15.79 [1830]~P4(x18302)+E(f25(x18302,x18301,x18303),x18304)+~E(f22(f14(x18302,x18304),f3(x18302,x18304)),f7(x18302))+E(x18301,f4(f63(x18302)))+P73(f22(f22(f23(f63(x18302)),f46(x18303,x18301,x18304,x18302)),x18303))+~P73(f22(f22(f23(f63(x18302)),x18304),x18303))+~P73(f22(f22(f23(f63(x18302)),x18304),x18301))
% 15.75/15.79 [1831]~P4(x18312)+E(f25(x18312,x18311,x18313),x18314)+~E(f22(f14(x18312,x18314),f3(x18312,x18314)),f7(x18312))+E(x18311,f4(f63(x18312)))+P73(f22(f22(f23(f63(x18312)),f46(x18313,x18311,x18314,x18312)),x18311))+~P73(f22(f22(f23(f63(x18312)),x18314),x18313))+~P73(f22(f22(f23(f63(x18312)),x18314),x18311))
% 15.75/15.79 [1834]~P4(x18341)+E(f25(x18341,x18342,x18343),x18344)+~E(f22(f14(x18341,x18344),f3(x18341,x18344)),f4(x18341))+~E(f22(f14(x18341,x18344),f3(x18341,x18344)),f7(x18341))+P73(f22(f22(f23(f63(x18341)),f46(x18343,x18342,x18344,x18341)),x18343))+~P73(f22(f22(f23(f63(x18341)),x18344),x18343))+~P73(f22(f22(f23(f63(x18341)),x18344),x18342))
% 15.75/15.79 [1835]~P4(x18351)+E(f25(x18351,x18352,x18353),x18354)+~E(f22(f14(x18351,x18354),f3(x18351,x18354)),f4(x18351))+~E(f22(f14(x18351,x18354),f3(x18351,x18354)),f7(x18351))+P73(f22(f22(f23(f63(x18351)),f46(x18353,x18352,x18354,x18351)),x18352))+~P73(f22(f22(f23(f63(x18351)),x18354),x18353))+~P73(f22(f22(f23(f63(x18351)),x18354),x18352))
% 15.75/15.79 [1847]~P4(x18472)+E(f25(x18472,x18473,x18471),x18474)+~E(f22(f14(x18472,x18474),f3(x18472,x18474)),f7(x18472))+E(x18471,f4(f63(x18472)))+~P73(f22(f22(f23(f63(x18472)),f46(x18471,x18473,x18474,x18472)),x18474))+~P73(f22(f22(f23(f63(x18472)),x18474),x18473))+~P73(f22(f22(f23(f63(x18472)),x18474),x18471))
% 15.75/15.79 [1848]~P4(x18482)+E(f25(x18482,x18481,x18483),x18484)+~E(f22(f14(x18482,x18484),f3(x18482,x18484)),f7(x18482))+E(x18481,f4(f63(x18482)))+~P73(f22(f22(f23(f63(x18482)),f46(x18483,x18481,x18484,x18482)),x18484))+~P73(f22(f22(f23(f63(x18482)),x18484),x18483))+~P73(f22(f22(f23(f63(x18482)),x18484),x18481))
% 15.75/15.79 [1851]~P4(x18511)+E(f25(x18511,x18512,x18513),x18514)+~E(f22(f14(x18511,x18514),f3(x18511,x18514)),f4(x18511))+~E(f22(f14(x18511,x18514),f3(x18511,x18514)),f7(x18511))+~P73(f22(f22(f23(f63(x18511)),f46(x18513,x18512,x18514,x18511)),x18514))+~P73(f22(f22(f23(f63(x18511)),x18514),x18513))+~P73(f22(f22(f23(f63(x18511)),x18514),x18512))
% 15.75/15.79 [1614]~P5(x16142)+E(f9(x16142,x16144,x16141),f9(x16142,x16145,x16143))+E(x16141,f4(x16142))+E(x16143,f4(x16142))+~E(f22(f22(f6(x16142),x16144),x16143),f22(f22(f6(x16142),x16141),x16145))+~P73(f22(f22(f23(x16142),x16141),x16144))+~P73(f22(f22(f23(x16142),x16143),x16145))
% 15.75/15.79 [1616]~P5(x16162)+~E(f9(x16162,x16164,x16163),f9(x16162,x16165,x16161))+E(x16161,f4(x16162))+E(x16163,f4(x16162))+E(f22(f22(f6(x16162),x16164),x16161),f22(f22(f6(x16162),x16163),x16165))+~P73(f22(f22(f23(x16162),x16161),x16165))+~P73(f22(f22(f23(x16162),x16163),x16164))
% 15.75/15.79 [1728]~P62(x17281)+~P8(x17281,x17285,x17286)+~P8(x17281,x17283,x17286)+~P7(x17281,f4(x17281),x17284)+~P7(x17281,f4(x17281),x17282)+~E(f12(x17281,x17282,x17284),f7(x17281))+P8(x17281,f12(x17281,f22(f22(f6(x17281),x17282),x17283),f22(f22(f6(x17281),x17284),x17285)),x17286)
% 15.75/15.79 [1729]~P61(x17291)+~P7(x17291,x17295,x17296)+~P7(x17291,x17293,x17296)+~P7(x17291,f4(x17291),x17294)+~P7(x17291,f4(x17291),x17292)+~E(f12(x17291,x17292,x17294),f7(x17291))+P7(x17291,f12(x17291,f22(f22(f6(x17291),x17292),x17293),f22(f22(f6(x17291),x17294),x17295)),x17296)
% 15.75/15.79 [1775]~P8(a61,x17756,x17755)+~P7(a61,x17755,x17753)+P7(a61,x17751,x17752)+~P8(a61,f4(a61),x17755)+~P7(a61,f4(a61),x17754)+~P7(a61,f4(a61),f12(a61,f22(f22(f6(a61),x17755),x17752),x17756))+~E(f12(a61,f22(f22(f6(a61),x17753),x17751),x17754),f12(a61,f22(f22(f6(a61),x17755),x17752),x17756))
% 15.75/15.79 [1776]~P8(a61,x17764,x17763)+~P7(a61,x17765,x17763)+P7(a61,x17761,x17762)+~P8(a61,f4(a61),x17765)+~P7(a61,f4(a61),x17766)+~P8(a61,f12(a61,f22(f22(f6(a61),x17765),x17761),x17766),f4(a61))+~E(f12(a61,f22(f22(f6(a61),x17763),x17762),x17764),f12(a61,f22(f22(f6(a61),x17765),x17761),x17766))
% 15.75/15.79 [1832]~P4(x18321)+E(f25(x18321,x18322,x18323),x18324)+~E(x18323,f4(f63(x18321)))+~E(x18322,f4(f63(x18321)))+~E(f22(f14(x18321,x18324),f3(x18321,x18324)),f4(x18321))+P73(f22(f22(f23(f63(x18321)),f46(x18323,x18322,x18324,x18321)),x18323))+~P73(f22(f22(f23(f63(x18321)),x18324),x18323))+~P73(f22(f22(f23(f63(x18321)),x18324),x18322))
% 15.75/15.79 [1833]~P4(x18331)+E(f25(x18331,x18332,x18333),x18334)+~E(x18333,f4(f63(x18331)))+~E(x18332,f4(f63(x18331)))+~E(f22(f14(x18331,x18334),f3(x18331,x18334)),f4(x18331))+P73(f22(f22(f23(f63(x18331)),f46(x18333,x18332,x18334,x18331)),x18332))+~P73(f22(f22(f23(f63(x18331)),x18334),x18333))+~P73(f22(f22(f23(f63(x18331)),x18334),x18332))
% 15.75/15.79 [1849]~P4(x18491)+E(f25(x18491,x18492,x18493),x18494)+~E(x18493,f4(f63(x18491)))+~E(x18492,f4(f63(x18491)))+~E(f22(f14(x18491,x18494),f3(x18491,x18494)),f4(x18491))+~P73(f22(f22(f23(f63(x18491)),f46(x18493,x18492,x18494,x18491)),x18494))+~P73(f22(f22(f23(f63(x18491)),x18494),x18493))+~P73(f22(f22(f23(f63(x18491)),x18494),x18492))
% 15.75/15.79 %EqnAxiom
% 15.75/15.79 [1]E(x11,x11)
% 15.75/15.79 [2]E(x22,x21)+~E(x21,x22)
% 15.75/15.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 15.75/15.79 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 15.75/15.79 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 15.75/15.79 [6]~E(x61,x62)+E(f22(x61,x63),f22(x62,x63))
% 15.75/15.79 [7]~E(x71,x72)+E(f22(x73,x71),f22(x73,x72))
% 15.75/15.79 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 15.75/15.79 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 15.75/15.79 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 15.75/15.79 [11]~E(x111,x112)+E(f12(x111,x113,x114),f12(x112,x113,x114))
% 15.75/15.79 [12]~E(x121,x122)+E(f12(x123,x121,x124),f12(x123,x122,x124))
% 15.75/15.79 [13]~E(x131,x132)+E(f12(x133,x134,x131),f12(x133,x134,x132))
% 15.75/15.79 [14]~E(x141,x142)+E(f17(x141,x143),f17(x142,x143))
% 15.75/15.79 [15]~E(x151,x152)+E(f17(x153,x151),f17(x153,x152))
% 15.75/15.79 [16]~E(x161,x162)+E(f7(x161),f7(x162))
% 15.75/15.79 [17]~E(x171,x172)+E(f6(x171),f6(x172))
% 15.75/15.79 [18]~E(x181,x182)+E(f23(x181),f23(x182))
% 15.75/15.79 [19]~E(x191,x192)+E(f63(x191),f63(x192))
% 15.75/15.79 [20]~E(x201,x202)+E(f20(x201,x203,x204),f20(x202,x203,x204))
% 15.75/15.79 [21]~E(x211,x212)+E(f20(x213,x211,x214),f20(x213,x212,x214))
% 15.75/15.79 [22]~E(x221,x222)+E(f20(x223,x224,x221),f20(x223,x224,x222))
% 15.75/15.79 [23]~E(x231,x232)+E(f8(x231,x233,x234),f8(x232,x233,x234))
% 15.75/15.79 [24]~E(x241,x242)+E(f8(x243,x241,x244),f8(x243,x242,x244))
% 15.75/15.79 [25]~E(x251,x252)+E(f8(x253,x254,x251),f8(x253,x254,x252))
% 15.75/15.79 [26]~E(x261,x262)+E(f13(x261,x263),f13(x262,x263))
% 15.75/15.79 [27]~E(x271,x272)+E(f13(x273,x271),f13(x273,x272))
% 15.75/15.79 [28]~E(x281,x282)+E(f39(x281,x283,x284),f39(x282,x283,x284))
% 15.75/15.79 [29]~E(x291,x292)+E(f39(x293,x291,x294),f39(x293,x292,x294))
% 15.75/15.79 [30]~E(x301,x302)+E(f39(x303,x304,x301),f39(x303,x304,x302))
% 15.75/15.79 [31]~E(x311,x312)+E(f14(x311,x313),f14(x312,x313))
% 15.75/15.79 [32]~E(x321,x322)+E(f14(x323,x321),f14(x323,x322))
% 15.75/15.79 [33]~E(x331,x332)+E(f51(x331,x333,x334),f51(x332,x333,x334))
% 15.75/15.79 [34]~E(x341,x342)+E(f51(x343,x341,x344),f51(x343,x342,x344))
% 15.75/15.79 [35]~E(x351,x352)+E(f51(x353,x354,x351),f51(x353,x354,x352))
% 15.75/15.79 [36]~E(x361,x362)+E(f52(x361,x363,x364),f52(x362,x363,x364))
% 15.75/15.79 [37]~E(x371,x372)+E(f52(x373,x371,x374),f52(x373,x372,x374))
% 15.75/15.79 [38]~E(x381,x382)+E(f52(x383,x384,x381),f52(x383,x384,x382))
% 15.75/15.79 [39]~E(x391,x392)+E(f19(x391,x393,x394),f19(x392,x393,x394))
% 15.75/15.79 [40]~E(x401,x402)+E(f19(x403,x401,x404),f19(x403,x402,x404))
% 15.75/15.79 [41]~E(x411,x412)+E(f19(x413,x414,x411),f19(x413,x414,x412))
% 15.75/15.79 [42]~E(x421,x422)+E(f28(x421),f28(x422))
% 15.75/15.79 [43]~E(x431,x432)+E(f25(x431,x433,x434),f25(x432,x433,x434))
% 15.75/15.79 [44]~E(x441,x442)+E(f25(x443,x441,x444),f25(x443,x442,x444))
% 15.75/15.79 [45]~E(x451,x452)+E(f25(x453,x454,x451),f25(x453,x454,x452))
% 15.75/15.79 [46]~E(x461,x462)+E(f40(x461,x463,x464),f40(x462,x463,x464))
% 15.75/15.79 [47]~E(x471,x472)+E(f40(x473,x471,x474),f40(x473,x472,x474))
% 15.75/15.79 [48]~E(x481,x482)+E(f40(x483,x484,x481),f40(x483,x484,x482))
% 15.75/15.79 [49]~E(x491,x492)+E(f47(x491,x493,x494),f47(x492,x493,x494))
% 15.75/15.79 [50]~E(x501,x502)+E(f47(x503,x501,x504),f47(x503,x502,x504))
% 15.75/15.79 [51]~E(x511,x512)+E(f47(x513,x514,x511),f47(x513,x514,x512))
% 15.75/15.79 [52]~E(x521,x522)+E(f46(x521,x523,x524,x525),f46(x522,x523,x524,x525))
% 15.75/15.79 [53]~E(x531,x532)+E(f46(x533,x531,x534,x535),f46(x533,x532,x534,x535))
% 15.75/15.79 [54]~E(x541,x542)+E(f46(x543,x544,x541,x545),f46(x543,x544,x542,x545))
% 15.75/15.79 [55]~E(x551,x552)+E(f46(x553,x554,x555,x551),f46(x553,x554,x555,x552))
% 15.75/15.79 [56]~E(x561,x562)+E(f9(x561,x563,x564),f9(x562,x563,x564))
% 15.75/15.79 [57]~E(x571,x572)+E(f9(x573,x571,x574),f9(x573,x572,x574))
% 15.75/15.79 [58]~E(x581,x582)+E(f9(x583,x584,x581),f9(x583,x584,x582))
% 15.75/15.79 [59]~E(x591,x592)+E(f48(x591,x593,x594),f48(x592,x593,x594))
% 15.75/15.79 [60]~E(x601,x602)+E(f48(x603,x601,x604),f48(x603,x602,x604))
% 15.75/15.79 [61]~E(x611,x612)+E(f48(x613,x614,x611),f48(x613,x614,x612))
% 15.75/15.79 [62]~E(x621,x622)+E(f10(x621,x623),f10(x622,x623))
% 15.75/15.79 [63]~E(x631,x632)+E(f10(x633,x631),f10(x633,x632))
% 15.75/15.79 [64]~E(x641,x642)+E(f43(x641,x643),f43(x642,x643))
% 15.75/15.79 [65]~E(x651,x652)+E(f43(x653,x651),f43(x653,x652))
% 15.75/15.79 [66]~E(x661,x662)+E(f18(x661,x663,x664),f18(x662,x663,x664))
% 15.75/15.79 [67]~E(x671,x672)+E(f18(x673,x671,x674),f18(x673,x672,x674))
% 15.75/15.79 [68]~E(x681,x682)+E(f18(x683,x684,x681),f18(x683,x684,x682))
% 15.75/15.79 [69]~E(x691,x692)+E(f24(x691,x693,x694),f24(x692,x693,x694))
% 15.75/15.79 [70]~E(x701,x702)+E(f24(x703,x701,x704),f24(x703,x702,x704))
% 15.75/15.79 [71]~E(x711,x712)+E(f24(x713,x714,x711),f24(x713,x714,x712))
% 15.75/15.79 [72]~E(x721,x722)+E(f26(x721,x723,x724),f26(x722,x723,x724))
% 15.75/15.79 [73]~E(x731,x732)+E(f26(x733,x731,x734),f26(x733,x732,x734))
% 15.75/15.79 [74]~E(x741,x742)+E(f26(x743,x744,x741),f26(x743,x744,x742))
% 15.75/15.79 [75]~E(x751,x752)+E(f64(x751,x753),f64(x752,x753))
% 15.75/15.79 [76]~E(x761,x762)+E(f64(x763,x761),f64(x763,x762))
% 15.75/15.79 [77]~E(x771,x772)+E(f30(x771,x773),f30(x772,x773))
% 15.75/15.79 [78]~E(x781,x782)+E(f30(x783,x781),f30(x783,x782))
% 15.75/15.79 [79]~E(x791,x792)+E(f27(x791,x793,x794,x795,x796),f27(x792,x793,x794,x795,x796))
% 15.75/15.79 [80]~E(x801,x802)+E(f27(x803,x801,x804,x805,x806),f27(x803,x802,x804,x805,x806))
% 15.75/15.79 [81]~E(x811,x812)+E(f27(x813,x814,x811,x815,x816),f27(x813,x814,x812,x815,x816))
% 15.75/15.79 [82]~E(x821,x822)+E(f27(x823,x824,x825,x821,x826),f27(x823,x824,x825,x822,x826))
% 15.75/15.79 [83]~E(x831,x832)+E(f27(x833,x834,x835,x836,x831),f27(x833,x834,x835,x836,x832))
% 15.75/15.79 [84]~E(x841,x842)+E(f42(x841,x843,x844),f42(x842,x843,x844))
% 15.75/15.79 [85]~E(x851,x852)+E(f42(x853,x851,x854),f42(x853,x852,x854))
% 15.75/15.79 [86]~E(x861,x862)+E(f42(x863,x864,x861),f42(x863,x864,x862))
% 15.75/15.79 [87]~E(x871,x872)+E(f15(x871,x873),f15(x872,x873))
% 15.75/15.79 [88]~E(x881,x882)+E(f15(x883,x881),f15(x883,x882))
% 15.75/15.79 [89]~E(x891,x892)+E(f44(x891,x893,x894),f44(x892,x893,x894))
% 15.75/15.79 [90]~E(x901,x902)+E(f44(x903,x901,x904),f44(x903,x902,x904))
% 15.75/15.79 [91]~E(x911,x912)+E(f44(x913,x914,x911),f44(x913,x914,x912))
% 15.75/15.79 [92]~E(x921,x922)+E(f32(x921,x923),f32(x922,x923))
% 15.75/15.79 [93]~E(x931,x932)+E(f32(x933,x931),f32(x933,x932))
% 15.75/15.79 [94]~E(x941,x942)+E(f31(x941,x943),f31(x942,x943))
% 15.75/15.79 [95]~E(x951,x952)+E(f31(x953,x951),f31(x953,x952))
% 15.75/15.79 [96]~E(x961,x962)+E(f55(x961,x963),f55(x962,x963))
% 15.75/15.79 [97]~E(x971,x972)+E(f55(x973,x971),f55(x973,x972))
% 15.75/15.79 [98]~E(x981,x982)+E(f38(x981,x983,x984),f38(x982,x983,x984))
% 15.75/15.79 [99]~E(x991,x992)+E(f38(x993,x991,x994),f38(x993,x992,x994))
% 15.75/15.79 [100]~E(x1001,x1002)+E(f38(x1003,x1004,x1001),f38(x1003,x1004,x1002))
% 15.75/15.79 [101]~E(x1011,x1012)+E(f21(x1011,x1013,x1014),f21(x1012,x1013,x1014))
% 15.75/15.79 [102]~E(x1021,x1022)+E(f21(x1023,x1021,x1024),f21(x1023,x1022,x1024))
% 15.75/15.79 [103]~E(x1031,x1032)+E(f21(x1033,x1034,x1031),f21(x1033,x1034,x1032))
% 15.75/15.79 [104]~E(x1041,x1042)+E(f41(x1041,x1043,x1044),f41(x1042,x1043,x1044))
% 15.75/15.79 [105]~E(x1051,x1052)+E(f41(x1053,x1051,x1054),f41(x1053,x1052,x1054))
% 15.75/15.79 [106]~E(x1061,x1062)+E(f41(x1063,x1064,x1061),f41(x1063,x1064,x1062))
% 15.75/15.79 [107]~E(x1071,x1072)+E(f36(x1071,x1073),f36(x1072,x1073))
% 15.75/15.79 [108]~E(x1081,x1082)+E(f36(x1083,x1081),f36(x1083,x1082))
% 15.75/15.79 [109]~E(x1091,x1092)+E(f49(x1091,x1093,x1094),f49(x1092,x1093,x1094))
% 15.75/15.79 [110]~E(x1101,x1102)+E(f49(x1103,x1101,x1104),f49(x1103,x1102,x1104))
% 15.75/15.79 [111]~E(x1111,x1112)+E(f49(x1113,x1114,x1111),f49(x1113,x1114,x1112))
% 15.75/15.79 [112]~E(x1121,x1122)+E(f34(x1121,x1123,x1124),f34(x1122,x1123,x1124))
% 15.75/15.79 [113]~E(x1131,x1132)+E(f34(x1133,x1131,x1134),f34(x1133,x1132,x1134))
% 15.75/15.79 [114]~E(x1141,x1142)+E(f34(x1143,x1144,x1141),f34(x1143,x1144,x1142))
% 15.75/15.79 [115]~E(x1151,x1152)+E(f57(x1151,x1153,x1154),f57(x1152,x1153,x1154))
% 15.75/15.79 [116]~E(x1161,x1162)+E(f57(x1163,x1161,x1164),f57(x1163,x1162,x1164))
% 15.75/15.79 [117]~E(x1171,x1172)+E(f57(x1173,x1174,x1171),f57(x1173,x1174,x1172))
% 15.75/15.79 [118]~E(x1181,x1182)+E(f35(x1181,x1183,x1184),f35(x1182,x1183,x1184))
% 15.75/15.79 [119]~E(x1191,x1192)+E(f35(x1193,x1191,x1194),f35(x1193,x1192,x1194))
% 15.75/15.79 [120]~E(x1201,x1202)+E(f35(x1203,x1204,x1201),f35(x1203,x1204,x1202))
% 15.75/15.79 [121]~E(x1211,x1212)+E(f45(x1211,x1213,x1214),f45(x1212,x1213,x1214))
% 15.75/15.79 [122]~E(x1221,x1222)+E(f45(x1223,x1221,x1224),f45(x1223,x1222,x1224))
% 15.75/15.79 [123]~E(x1231,x1232)+E(f45(x1233,x1234,x1231),f45(x1233,x1234,x1232))
% 15.75/15.79 [124]~E(x1241,x1242)+E(f59(x1241,x1243,x1244),f59(x1242,x1243,x1244))
% 15.75/15.79 [125]~E(x1251,x1252)+E(f59(x1253,x1251,x1254),f59(x1253,x1252,x1254))
% 15.75/15.79 [126]~E(x1261,x1262)+E(f59(x1263,x1264,x1261),f59(x1263,x1264,x1262))
% 15.75/15.79 [127]~E(x1271,x1272)+E(f11(x1271,x1273,x1274),f11(x1272,x1273,x1274))
% 15.75/15.79 [128]~E(x1281,x1282)+E(f11(x1283,x1281,x1284),f11(x1283,x1282,x1284))
% 15.75/15.79 [129]~E(x1291,x1292)+E(f11(x1293,x1294,x1291),f11(x1293,x1294,x1292))
% 15.75/15.79 [130]~E(x1301,x1302)+E(f33(x1301,x1303),f33(x1302,x1303))
% 15.75/15.79 [131]~E(x1311,x1312)+E(f33(x1313,x1311),f33(x1313,x1312))
% 15.75/15.79 [132]~E(x1321,x1322)+E(f56(x1321,x1323,x1324),f56(x1322,x1323,x1324))
% 15.75/15.79 [133]~E(x1331,x1332)+E(f56(x1333,x1331,x1334),f56(x1333,x1332,x1334))
% 15.75/15.79 [134]~E(x1341,x1342)+E(f56(x1343,x1344,x1341),f56(x1343,x1344,x1342))
% 15.75/15.79 [135]~E(x1351,x1352)+E(f37(x1351,x1353),f37(x1352,x1353))
% 15.75/15.79 [136]~E(x1361,x1362)+E(f37(x1363,x1361),f37(x1363,x1362))
% 15.75/15.79 [137]~E(x1371,x1372)+E(f58(x1371,x1373,x1374,x1375),f58(x1372,x1373,x1374,x1375))
% 15.75/15.79 [138]~E(x1381,x1382)+E(f58(x1383,x1381,x1384,x1385),f58(x1383,x1382,x1384,x1385))
% 15.75/15.79 [139]~E(x1391,x1392)+E(f58(x1393,x1394,x1391,x1395),f58(x1393,x1394,x1392,x1395))
% 15.75/15.79 [140]~E(x1401,x1402)+E(f58(x1403,x1404,x1405,x1401),f58(x1403,x1404,x1405,x1402))
% 15.75/15.79 [141]~E(x1411,x1412)+E(f16(x1411,x1413,x1414,x1415),f16(x1412,x1413,x1414,x1415))
% 15.75/15.79 [142]~E(x1421,x1422)+E(f16(x1423,x1421,x1424,x1425),f16(x1423,x1422,x1424,x1425))
% 15.75/15.79 [143]~E(x1431,x1432)+E(f16(x1433,x1434,x1431,x1435),f16(x1433,x1434,x1432,x1435))
% 15.75/15.79 [144]~E(x1441,x1442)+E(f16(x1443,x1444,x1445,x1441),f16(x1443,x1444,x1445,x1442))
% 15.75/15.79 [145]~E(x1451,x1452)+E(f50(x1451,x1453,x1454),f50(x1452,x1453,x1454))
% 15.75/15.79 [146]~E(x1461,x1462)+E(f50(x1463,x1461,x1464),f50(x1463,x1462,x1464))
% 15.75/15.79 [147]~E(x1471,x1472)+E(f50(x1473,x1474,x1471),f50(x1473,x1474,x1472))
% 15.75/15.79 [148]~E(x1481,x1482)+E(f54(x1481),f54(x1482))
% 15.75/15.79 [149]~P1(x1491)+P1(x1492)+~E(x1491,x1492)
% 15.75/15.79 [150]~P73(x1501)+P73(x1502)+~E(x1501,x1502)
% 15.75/15.79 [151]~P51(x1511)+P51(x1512)+~E(x1511,x1512)
% 15.75/15.79 [152]~P2(x1521)+P2(x1522)+~E(x1521,x1522)
% 15.75/15.79 [153]P8(x1532,x1533,x1534)+~E(x1531,x1532)+~P8(x1531,x1533,x1534)
% 15.75/15.79 [154]P8(x1543,x1542,x1544)+~E(x1541,x1542)+~P8(x1543,x1541,x1544)
% 15.75/15.79 [155]P8(x1553,x1554,x1552)+~E(x1551,x1552)+~P8(x1553,x1554,x1551)
% 15.75/15.79 [156]P74(x1562,x1563,x1564)+~E(x1561,x1562)+~P74(x1561,x1563,x1564)
% 15.75/15.79 [157]P74(x1573,x1572,x1574)+~E(x1571,x1572)+~P74(x1573,x1571,x1574)
% 15.75/15.79 [158]P74(x1583,x1584,x1582)+~E(x1581,x1582)+~P74(x1583,x1584,x1581)
% 15.75/15.79 [159]~P32(x1591)+P32(x1592)+~E(x1591,x1592)
% 15.75/15.79 [160]P7(x1602,x1603,x1604)+~E(x1601,x1602)+~P7(x1601,x1603,x1604)
% 15.75/15.79 [161]P7(x1613,x1612,x1614)+~E(x1611,x1612)+~P7(x1613,x1611,x1614)
% 15.75/15.79 [162]P7(x1623,x1624,x1622)+~E(x1621,x1622)+~P7(x1623,x1624,x1621)
% 15.75/15.79 [163]~P48(x1631)+P48(x1632)+~E(x1631,x1632)
% 15.75/15.79 [164]~P24(x1641)+P24(x1642)+~E(x1641,x1642)
% 15.75/15.79 [165]~P46(x1651)+P46(x1652)+~E(x1651,x1652)
% 15.75/15.79 [166]~P54(x1661)+P54(x1662)+~E(x1661,x1662)
% 15.75/15.79 [167]~P41(x1671)+P41(x1672)+~E(x1671,x1672)
% 15.75/15.79 [168]~P3(x1681)+P3(x1682)+~E(x1681,x1682)
% 15.75/15.79 [169]~P36(x1691)+P36(x1692)+~E(x1691,x1692)
% 15.75/15.79 [170]~P49(x1701)+P49(x1702)+~E(x1701,x1702)
% 15.75/15.79 [171]~P60(x1711)+P60(x1712)+~E(x1711,x1712)
% 15.75/15.79 [172]~P50(x1721)+P50(x1722)+~E(x1721,x1722)
% 15.75/15.79 [173]~P39(x1731)+P39(x1732)+~E(x1731,x1732)
% 15.75/15.79 [174]~P21(x1741)+P21(x1742)+~E(x1741,x1742)
% 15.75/15.79 [175]~P63(x1751)+P63(x1752)+~E(x1751,x1752)
% 15.75/15.79 [176]~P4(x1761)+P4(x1762)+~E(x1761,x1762)
% 15.75/15.79 [177]~P52(x1771)+P52(x1772)+~E(x1771,x1772)
% 15.75/15.79 [178]~P31(x1781)+P31(x1782)+~E(x1781,x1782)
% 15.75/15.79 [179]P11(x1792,x1793,x1794,x1795,x1796)+~E(x1791,x1792)+~P11(x1791,x1793,x1794,x1795,x1796)
% 15.75/15.79 [180]P11(x1803,x1802,x1804,x1805,x1806)+~E(x1801,x1802)+~P11(x1803,x1801,x1804,x1805,x1806)
% 15.75/15.79 [181]P11(x1813,x1814,x1812,x1815,x1816)+~E(x1811,x1812)+~P11(x1813,x1814,x1811,x1815,x1816)
% 15.75/15.79 [182]P11(x1823,x1824,x1825,x1822,x1826)+~E(x1821,x1822)+~P11(x1823,x1824,x1825,x1821,x1826)
% 15.75/15.79 [183]P11(x1833,x1834,x1835,x1836,x1832)+~E(x1831,x1832)+~P11(x1833,x1834,x1835,x1836,x1831)
% 15.75/15.79 [184]~P68(x1841)+P68(x1842)+~E(x1841,x1842)
% 15.75/15.79 [185]~P27(x1851)+P27(x1852)+~E(x1851,x1852)
% 15.75/15.79 [186]~P53(x1861)+P53(x1862)+~E(x1861,x1862)
% 15.75/15.79 [187]P9(x1872,x1873)+~E(x1871,x1872)+~P9(x1871,x1873)
% 15.75/15.79 [188]P9(x1883,x1882)+~E(x1881,x1882)+~P9(x1883,x1881)
% 15.75/15.79 [189]~P35(x1891)+P35(x1892)+~E(x1891,x1892)
% 15.75/15.79 [190]~P69(x1901)+P69(x1902)+~E(x1901,x1902)
% 15.75/15.79 [191]~P20(x1911)+P20(x1912)+~E(x1911,x1912)
% 15.75/15.79 [192]~P72(x1921)+P72(x1922)+~E(x1921,x1922)
% 15.75/15.79 [193]~P67(x1931)+P67(x1932)+~E(x1931,x1932)
% 15.75/15.79 [194]~P30(x1941)+P30(x1942)+~E(x1941,x1942)
% 15.75/15.79 [195]~P33(x1951)+P33(x1952)+~E(x1951,x1952)
% 15.75/15.79 [196]~P43(x1961)+P43(x1962)+~E(x1961,x1962)
% 15.75/15.79 [197]~P16(x1971)+P16(x1972)+~E(x1971,x1972)
% 15.75/15.79 [198]~P70(x1981)+P70(x1982)+~E(x1981,x1982)
% 15.75/15.79 [199]~P42(x1991)+P42(x1992)+~E(x1991,x1992)
% 15.75/15.79 [200]~P5(x2001)+P5(x2002)+~E(x2001,x2002)
% 15.75/15.79 [201]~P12(x2011)+P12(x2012)+~E(x2011,x2012)
% 15.75/15.79 [202]~P13(x2021)+P13(x2022)+~E(x2021,x2022)
% 15.75/15.79 [203]~P37(x2031)+P37(x2032)+~E(x2031,x2032)
% 15.75/15.79 [204]~P64(x2041)+P64(x2042)+~E(x2041,x2042)
% 15.75/15.79 [205]~P56(x2051)+P56(x2052)+~E(x2051,x2052)
% 15.75/15.79 [206]~P15(x2061)+P15(x2062)+~E(x2061,x2062)
% 15.75/15.79 [207]~P34(x2071)+P34(x2072)+~E(x2071,x2072)
% 15.75/15.79 [208]~P22(x2081)+P22(x2082)+~E(x2081,x2082)
% 15.75/15.79 [209]~P59(x2091)+P59(x2092)+~E(x2091,x2092)
% 15.75/15.79 [210]~P40(x2101)+P40(x2102)+~E(x2101,x2102)
% 15.75/15.79 [211]~P58(x2111)+P58(x2112)+~E(x2111,x2112)
% 15.75/15.79 [212]~P29(x2121)+P29(x2122)+~E(x2121,x2122)
% 15.75/15.79 [213]~P19(x2131)+P19(x2132)+~E(x2131,x2132)
% 15.75/15.79 [214]~P28(x2141)+P28(x2142)+~E(x2141,x2142)
% 15.75/15.79 [215]~P38(x2151)+P38(x2152)+~E(x2151,x2152)
% 15.75/15.79 [216]~P57(x2161)+P57(x2162)+~E(x2161,x2162)
% 15.75/15.79 [217]~P17(x2171)+P17(x2172)+~E(x2171,x2172)
% 15.75/15.79 [218]~P71(x2181)+P71(x2182)+~E(x2181,x2182)
% 15.75/15.79 [219]~P55(x2191)+P55(x2192)+~E(x2191,x2192)
% 15.75/15.79 [220]~P18(x2201)+P18(x2202)+~E(x2201,x2202)
% 15.75/15.79 [221]~P66(x2211)+P66(x2212)+~E(x2211,x2212)
% 15.75/15.79 [222]~P65(x2221)+P65(x2222)+~E(x2221,x2222)
% 15.75/15.79 [223]~P23(x2231)+P23(x2232)+~E(x2231,x2232)
% 15.75/15.79 [224]~P75(x2241)+P75(x2242)+~E(x2241,x2242)
% 15.75/15.79 [225]~P47(x2251)+P47(x2252)+~E(x2251,x2252)
% 15.75/15.79 [226]~P61(x2261)+P61(x2262)+~E(x2261,x2262)
% 15.75/15.79 [227]~P44(x2271)+P44(x2272)+~E(x2271,x2272)
% 15.75/15.79 [228]~P62(x2281)+P62(x2282)+~E(x2281,x2282)
% 15.75/15.79 [229]~P14(x2291)+P14(x2292)+~E(x2291,x2292)
% 15.75/15.79 [230]~P6(x2301)+P6(x2302)+~E(x2301,x2302)
% 15.75/15.79 [231]~P26(x2311)+P26(x2312)+~E(x2311,x2312)
% 15.75/15.79 [232]~P45(x2321)+P45(x2322)+~E(x2321,x2322)
% 15.75/15.79 [233]~P25(x2331)+P25(x2332)+~E(x2331,x2332)
% 15.75/15.79 [234]P10(x2342,x2343,x2344,x2345)+~E(x2341,x2342)+~P10(x2341,x2343,x2344,x2345)
% 15.75/15.79 [235]P10(x2353,x2352,x2354,x2355)+~E(x2351,x2352)+~P10(x2353,x2351,x2354,x2355)
% 15.75/15.79 [236]P10(x2363,x2364,x2362,x2365)+~E(x2361,x2362)+~P10(x2363,x2364,x2361,x2365)
% 15.75/15.79 [237]P10(x2373,x2374,x2375,x2372)+~E(x2371,x2372)+~P10(x2373,x2374,x2375,x2371)
% 15.75/15.79
% 15.75/15.79 %-------------------------------------------
% 15.75/15.83 cnf(1858,plain,
% 15.75/15.83 (E(a65,a1)),
% 15.75/15.83 inference(scs_inference,[],[238,2])).
% 15.75/15.83 cnf(1859,plain,
% 15.75/15.83 (~P8(a61,x18591,x18591)),
% 15.75/15.83 inference(scs_inference,[],[238,319,2,730])).
% 15.75/15.83 cnf(1867,plain,
% 15.75/15.83 (~P7(a61,f7(a61),f4(a61))),
% 15.75/15.83 inference(scs_inference,[],[238,319,411,407,397,2,730,709,708,718,853])).
% 15.75/15.83 cnf(1870,plain,
% 15.75/15.83 (P7(a60,f9(a60,x18701,x18702),x18701)),
% 15.75/15.83 inference(rename_variables,[],[430])).
% 15.75/15.83 cnf(1873,plain,
% 15.75/15.83 (~P8(a60,f12(a60,x18731,x18732),x18732)),
% 15.75/15.83 inference(rename_variables,[],[507])).
% 15.75/15.83 cnf(1876,plain,
% 15.75/15.83 (E(f12(a60,x18761,x18762),f12(a60,x18762,x18761))),
% 15.75/15.83 inference(rename_variables,[],[417])).
% 15.75/15.83 cnf(1878,plain,
% 15.75/15.83 (~P7(a60,f12(a60,x18781,f12(a60,x18782,f7(a60))),x18782)),
% 15.75/15.83 inference(scs_inference,[],[238,319,411,407,427,430,507,417,397,2,730,709,708,718,853,729,894,855,1263])).
% 15.75/15.83 cnf(1879,plain,
% 15.75/15.83 (P7(a60,x18791,f12(a60,x18792,x18791))),
% 15.75/15.83 inference(rename_variables,[],[427])).
% 15.75/15.83 cnf(1883,plain,
% 15.75/15.83 (P8(a61,x18831,f12(a61,x18831,f7(a61)))),
% 15.75/15.83 inference(scs_inference,[],[393,238,319,411,407,427,430,507,417,397,441,2,730,709,708,718,853,729,894,855,1263,1262,1185])).
% 15.75/15.83 cnf(1884,plain,
% 15.75/15.83 (P7(a61,x18841,x18841)),
% 15.75/15.83 inference(rename_variables,[],[393])).
% 15.75/15.83 cnf(1886,plain,
% 15.75/15.83 (P8(a60,x18861,f12(a60,x18862,f12(a60,x18861,f7(a60))))),
% 15.75/15.83 inference(scs_inference,[],[393,238,319,411,407,427,1879,430,507,417,397,441,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184])).
% 15.75/15.83 cnf(1887,plain,
% 15.75/15.83 (P7(a60,x18871,f12(a60,x18872,x18871))),
% 15.75/15.83 inference(rename_variables,[],[427])).
% 15.75/15.83 cnf(1889,plain,
% 15.75/15.83 (P8(a61,f8(a61,x18891,f7(a61)),x18891)),
% 15.75/15.83 inference(scs_inference,[],[393,1884,238,319,411,407,427,1879,430,507,417,397,441,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178])).
% 15.75/15.83 cnf(1890,plain,
% 15.75/15.83 (P7(a61,x18901,x18901)),
% 15.75/15.83 inference(rename_variables,[],[393])).
% 15.75/15.83 cnf(1893,plain,
% 15.75/15.83 (E(f12(a60,x18931,x18932),f12(a60,x18932,x18931))),
% 15.75/15.83 inference(rename_variables,[],[417])).
% 15.75/15.83 cnf(1896,plain,
% 15.75/15.83 (P7(a60,x18961,f12(a60,x18962,x18961))),
% 15.75/15.83 inference(rename_variables,[],[427])).
% 15.75/15.83 cnf(1899,plain,
% 15.75/15.83 (P7(a60,x18991,f12(a60,x18992,x18991))),
% 15.75/15.83 inference(rename_variables,[],[427])).
% 15.75/15.83 cnf(1902,plain,
% 15.75/15.83 (P8(a60,x19021,f12(a60,f12(a60,x19022,x19021),f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[462])).
% 15.75/15.83 cnf(1905,plain,
% 15.75/15.83 (~P8(a60,f12(a60,x19051,x19052),x19051)),
% 15.75/15.83 inference(rename_variables,[],[508])).
% 15.75/15.83 cnf(1910,plain,
% 15.75/15.83 (~P7(a60,f12(a60,x19101,f7(a60)),x19101)),
% 15.75/15.83 inference(rename_variables,[],[509])).
% 15.75/15.83 cnf(1913,plain,
% 15.75/15.83 (~P7(a60,f12(a60,x19131,f7(a60)),x19131)),
% 15.75/15.83 inference(rename_variables,[],[509])).
% 15.75/15.83 cnf(1916,plain,
% 15.75/15.83 (~P8(a60,f12(a60,x19161,x19162),x19162)),
% 15.75/15.83 inference(rename_variables,[],[507])).
% 15.75/15.83 cnf(1919,plain,
% 15.75/15.83 (~P8(a60,f12(a60,x19191,x19192),x19192)),
% 15.75/15.83 inference(rename_variables,[],[507])).
% 15.75/15.83 cnf(1922,plain,
% 15.75/15.83 (~P8(a60,f12(a60,x19221,x19222),x19221)),
% 15.75/15.83 inference(rename_variables,[],[508])).
% 15.75/15.83 cnf(1924,plain,
% 15.75/15.83 (~E(f12(a60,x19241,f12(a60,x19242,f7(a60))),x19242)),
% 15.75/15.83 inference(scs_inference,[],[393,1884,238,319,411,407,427,1879,1887,1896,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,462,441,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889])).
% 15.75/15.83 cnf(1925,plain,
% 15.75/15.83 (~P8(a60,f12(a60,x19251,x19252),x19252)),
% 15.75/15.83 inference(rename_variables,[],[507])).
% 15.75/15.83 cnf(1928,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x19281,x19282),x19282),x19281)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(1930,plain,
% 15.75/15.83 (~E(f12(a60,x19301,f3(a2,a70)),x19301)),
% 15.75/15.83 inference(scs_inference,[],[393,1884,238,319,411,492,407,427,1879,1887,1896,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,431,462,441,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714])).
% 15.75/15.83 cnf(1935,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),f7(a60)),x19351))),
% 15.75/15.83 inference(rename_variables,[],[419])).
% 15.75/15.83 cnf(1937,plain,
% 15.75/15.83 (~E(f12(a60,f12(a60,x19371,x19372),f7(a60)),x19372)),
% 15.75/15.83 inference(scs_inference,[],[393,1884,238,319,411,492,407,427,1879,1887,1896,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,431,462,441,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13])).
% 15.75/15.83 cnf(1947,plain,
% 15.75/15.83 (~E(f12(a60,x19471,f7(a60)),f4(a60))),
% 15.75/15.83 inference(rename_variables,[],[506])).
% 15.75/15.83 cnf(1950,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x19501,x19502),x19502),x19501)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(1955,plain,
% 15.75/15.83 (P7(a61,x19551,x19551)),
% 15.75/15.83 inference(rename_variables,[],[393])).
% 15.75/15.83 cnf(1957,plain,
% 15.75/15.83 (P74(f22(f23(a60),f9(a61,x19571,x19572)),x19572,x19571)),
% 15.75/15.83 inference(scs_inference,[],[393,1884,1890,238,319,411,492,407,427,1879,1887,1896,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,431,1928,462,441,506,415,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410])).
% 15.75/15.83 cnf(1958,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x19581),x19581))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(1961,plain,
% 15.75/15.83 (~E(f12(a60,x19611,f7(a60)),f4(a60))),
% 15.75/15.83 inference(rename_variables,[],[506])).
% 15.75/15.83 cnf(1964,plain,
% 15.75/15.83 (~E(f12(a60,x19641,f7(a60)),f4(a60))),
% 15.75/15.83 inference(rename_variables,[],[506])).
% 15.75/15.83 cnf(1967,plain,
% 15.75/15.83 (~P8(a60,x19671,x19671)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(1969,plain,
% 15.75/15.83 (~P7(a60,f8(a60,f12(a60,f12(a60,x19691,x19692),f7(a60)),x19692),x19691)),
% 15.75/15.83 inference(scs_inference,[],[393,1884,1890,495,238,319,411,492,407,427,1879,1887,1896,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,431,1928,462,441,506,1947,1961,415,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365])).
% 15.75/15.83 cnf(1970,plain,
% 15.75/15.83 (~P7(a60,f12(a60,x19701,f7(a60)),x19701)),
% 15.75/15.83 inference(rename_variables,[],[509])).
% 15.75/15.83 cnf(1972,plain,
% 15.75/15.83 (~P8(a60,f12(a60,f8(a60,x19721,x19722),x19722),x19721)),
% 15.75/15.83 inference(scs_inference,[],[393,1884,1890,495,1967,238,319,411,492,407,427,1879,1887,1896,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,431,1928,462,441,506,1947,1961,415,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364])).
% 15.75/15.83 cnf(1973,plain,
% 15.75/15.83 (~P8(a60,x19731,x19731)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(1978,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x19781,x19782),x19782),x19781)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(1980,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x19801,x19802),x19802),x19801)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(1981,plain,
% 15.75/15.83 (~P3(f8(a60,f12(a60,a60,x19811),x19811))),
% 15.75/15.83 inference(scs_inference,[],[485,393,1884,1890,495,1967,238,319,411,492,407,427,1879,1887,1896,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,431,1928,1950,1978,1980,462,441,506,1947,1961,415,1958,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168])).
% 15.75/15.83 cnf(1982,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x19821,x19822),x19822),x19821)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(1983,plain,
% 15.75/15.83 (~E(f12(a60,f12(a60,x19831,f7(a60)),x19832),x19831)),
% 15.75/15.83 inference(scs_inference,[],[485,393,1884,1890,495,1967,238,319,411,492,407,427,1879,1887,1896,428,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,1970,431,1928,1950,1978,1980,462,441,506,1947,1961,415,1958,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162])).
% 15.75/15.83 cnf(1984,plain,
% 15.75/15.83 (P7(a60,x19841,f12(a60,x19841,x19842))),
% 15.75/15.83 inference(rename_variables,[],[428])).
% 15.75/15.83 cnf(1986,plain,
% 15.75/15.83 (P7(a60,x19861,x19861)),
% 15.75/15.83 inference(rename_variables,[],[392])).
% 15.75/15.83 cnf(1990,plain,
% 15.75/15.83 (~P8(a60,x19901,x19901)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(1992,plain,
% 15.75/15.83 (~P8(a60,x19921,x19921)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(1994,plain,
% 15.75/15.83 (~P8(a60,x19941,f4(a60))),
% 15.75/15.83 inference(rename_variables,[],[498])).
% 15.75/15.83 cnf(1996,plain,
% 15.75/15.83 (E(f8(a60,x19961,f4(a60)),x19961)),
% 15.75/15.83 inference(rename_variables,[],[400])).
% 15.75/15.83 cnf(1998,plain,
% 15.75/15.83 (~E(f12(a60,x19981,f7(a60)),x19981)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(1999,plain,
% 15.75/15.83 (~P8(a60,a67,f3(a2,a70))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,238,319,326,498,411,492,407,511,427,1879,1887,1896,428,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,1970,431,1928,1950,1978,1980,400,500,462,1902,441,506,1947,1961,415,1958,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921])).
% 15.75/15.83 cnf(2001,plain,
% 15.75/15.83 (~P7(a60,a67,f3(a2,a70))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,238,319,321,326,498,411,492,407,511,427,1879,1887,1896,428,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,1970,431,1928,1950,1978,1980,400,500,462,1902,441,506,1947,1961,415,1958,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920])).
% 15.75/15.83 cnf(2003,plain,
% 15.75/15.83 (~P8(a61,f7(a61),f4(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,238,319,321,322,326,498,411,492,407,511,427,1879,1887,1896,428,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,1970,431,1928,1950,1978,1980,400,500,462,1902,441,506,1947,1961,415,1958,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917])).
% 15.75/15.83 cnf(2006,plain,
% 15.75/15.83 (P7(a60,f8(a60,x20061,x20062),x20061)),
% 15.75/15.83 inference(rename_variables,[],[429])).
% 15.75/15.83 cnf(2007,plain,
% 15.75/15.83 (P7(a60,f4(a60),x20071)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2014,plain,
% 15.75/15.83 (P7(a60,f4(a60),x20141)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2022,plain,
% 15.75/15.83 (~E(f12(a60,f12(a60,x20221,x20222),f7(a60)),x20221)),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,238,318,319,321,322,326,399,2007,498,411,383,492,407,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,1970,431,1928,1950,1978,1980,400,500,462,1902,441,506,1947,1961,415,1958,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642])).
% 15.75/15.83 cnf(2024,plain,
% 15.75/15.83 (~E(f7(a60),f4(a60))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,238,318,319,321,322,326,399,2007,498,411,383,492,407,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,1970,431,1928,1950,1978,1980,400,500,462,1902,441,506,1947,1961,415,1958,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640])).
% 15.75/15.83 cnf(2027,plain,
% 15.75/15.83 (~P8(a60,x20271,x20271)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(2029,plain,
% 15.75/15.83 (E(x20291,f12(a60,f4(a60),x20291))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,1992,238,318,319,321,322,326,399,2007,498,411,383,492,407,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,509,1910,1913,1970,431,1928,1950,1978,1980,400,500,462,1902,441,506,1947,1961,415,1958,419,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266])).
% 15.75/15.83 cnf(2030,plain,
% 15.75/15.83 (P8(a60,x20301,f12(a60,f12(a60,x20302,x20301),f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[462])).
% 15.75/15.83 cnf(2033,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x20331,x20332),x20332),x20331)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(2038,plain,
% 15.75/15.83 (P8(a60,x20381,f12(a60,x20381,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2039,plain,
% 15.75/15.83 (P8(a60,x20391,f12(a60,f12(a60,x20392,x20391),f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[462])).
% 15.75/15.83 cnf(2042,plain,
% 15.75/15.83 (P8(a60,x20421,f12(a60,x20421,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2044,plain,
% 15.75/15.83 (P8(a60,f4(a60),f7(a60))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,1992,238,318,319,321,322,326,399,2007,498,411,383,492,407,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,434,2038,2042,509,1910,1913,1970,431,1928,1950,1978,1980,1982,400,500,462,1902,2030,441,506,1947,1961,415,1958,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146])).
% 15.75/15.83 cnf(2045,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),f7(a60)),x20451))),
% 15.75/15.83 inference(rename_variables,[],[419])).
% 15.75/15.83 cnf(2046,plain,
% 15.75/15.83 (P8(a60,x20461,f12(a60,x20461,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2049,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x20491),x20491))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2050,plain,
% 15.75/15.83 (E(f8(a60,x20501,x20501),f4(a60))),
% 15.75/15.83 inference(rename_variables,[],[397])).
% 15.75/15.83 cnf(2055,plain,
% 15.75/15.83 (~E(f12(a60,x20551,f7(a60)),x20551)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2058,plain,
% 15.75/15.83 (~E(f12(a60,x20581,f7(a60)),x20581)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2061,plain,
% 15.75/15.83 (~E(f12(a60,x20611,f7(a60)),x20611)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2066,plain,
% 15.75/15.83 (E(f12(a60,f4(a60),x20661),x20661)),
% 15.75/15.83 inference(rename_variables,[],[403])).
% 15.75/15.83 cnf(2067,plain,
% 15.75/15.83 (P8(a60,x20671,f12(a60,x20671,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2070,plain,
% 15.75/15.83 (P8(a60,x20701,f12(a60,x20701,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2072,plain,
% 15.75/15.83 (~P8(a61,f5(a61,f4(a61)),f4(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,1992,238,309,318,319,321,322,326,372,399,2007,498,411,383,492,407,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,434,2038,2042,2046,2067,509,1910,1913,1970,431,1928,1950,1978,1980,1982,400,403,500,1998,2055,2058,462,1902,2030,441,506,1947,1961,415,1958,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959])).
% 15.75/15.83 cnf(2074,plain,
% 15.75/15.83 (~P7(a61,f7(a61),f5(a61,f7(a61)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,1992,238,309,318,319,321,322,326,372,399,2007,498,411,383,492,407,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,434,2038,2042,2046,2067,509,1910,1913,1970,431,1928,1950,1978,1980,1982,400,403,500,1998,2055,2058,462,1902,2030,441,506,1947,1961,415,1958,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958])).
% 15.75/15.83 cnf(2076,plain,
% 15.75/15.83 (~P8(a61,f4(a61),f5(a61,f4(a61)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,1992,238,290,309,318,319,321,322,326,372,399,2007,498,411,383,492,407,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,434,2038,2042,2046,2067,509,1910,1913,1970,431,1928,1950,1978,1980,1982,400,403,500,1998,2055,2058,462,1902,2030,441,506,1947,1961,415,1958,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957])).
% 15.75/15.83 cnf(2078,plain,
% 15.75/15.83 (~E(f12(a61,x20781,f7(a61)),x20781)),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,1992,238,290,309,318,319,321,322,326,361,372,399,2007,498,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,434,2038,2042,2046,2067,509,1910,1913,1970,431,1928,1950,1978,1980,1982,400,403,500,1998,2055,2058,462,1902,2030,441,506,1947,1961,415,1958,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758])).
% 15.75/15.83 cnf(2081,plain,
% 15.75/15.83 (~E(f12(a60,x20811,f7(a60)),x20811)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2084,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x20841,x20842),x20842),x20841)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(2090,plain,
% 15.75/15.83 (~P24(a60)),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,1992,238,242,290,309,318,319,321,322,326,341,361,372,399,2007,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,434,2038,2042,2046,2067,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,400,403,500,1998,2055,2058,2061,462,1902,2030,441,506,1947,1961,415,1958,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107])).
% 15.75/15.83 cnf(2091,plain,
% 15.75/15.83 (~P8(a60,x20911,f4(a60))),
% 15.75/15.83 inference(rename_variables,[],[498])).
% 15.75/15.83 cnf(2096,plain,
% 15.75/15.83 (~E(f12(a60,x20961,f7(a60)),x20961)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2098,plain,
% 15.75/15.83 (~E(x20981,f9(a60,f22(f22(f6(a60),f12(a60,f4(a60),f7(a60))),f12(a60,x20981,f7(a60))),f12(a60,f4(a60),f7(a60))))),
% 15.75/15.83 inference(scs_inference,[],[485,392,393,1884,1890,495,1967,1973,1990,1992,2027,238,242,290,309,316,318,319,321,322,326,341,361,372,399,2007,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,400,403,500,1998,2055,2058,2061,2081,462,1902,2030,441,506,1947,1961,415,1958,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540])).
% 15.75/15.83 cnf(2099,plain,
% 15.75/15.83 (~P8(a60,x20991,x20991)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(2100,plain,
% 15.75/15.83 (P8(a60,x21001,f12(a60,x21001,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2103,plain,
% 15.75/15.83 (~E(f12(a60,x21031,f7(a60)),x21031)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2106,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x21061),x21061))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2114,plain,
% 15.75/15.83 (~E(f8(a60,f12(a60,f12(a60,x21141,f4(a60)),f7(a60)),f4(a60)),x21141)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,242,290,309,316,318,319,321,322,326,341,361,372,399,2007,2014,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,400,403,500,1998,2055,2058,2061,2081,2096,2103,462,1902,2030,441,506,1947,1961,415,1958,2049,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015])).
% 15.75/15.83 cnf(2115,plain,
% 15.75/15.83 (~E(f12(a60,x21151,f7(a60)),x21151)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2116,plain,
% 15.75/15.83 (P7(a60,f4(a60),x21161)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2126,plain,
% 15.75/15.83 (~P7(a61,f4(a61),f5(a61,f7(a61)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,290,308,309,316,318,319,321,322,326,341,361,372,399,2007,2014,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,400,403,500,1998,2055,2058,2061,2081,2096,2103,462,1902,2030,441,506,1947,1961,415,1958,2049,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980])).
% 15.75/15.83 cnf(2128,plain,
% 15.75/15.83 (~P8(a61,f4(a61),f5(a61,f7(a61)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,290,308,309,316,318,319,321,322,326,341,361,372,399,2007,2014,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,400,403,500,1998,2055,2058,2061,2081,2096,2103,462,1902,2030,441,506,1947,1961,415,1958,2049,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979])).
% 15.75/15.83 cnf(2131,plain,
% 15.75/15.83 (~E(f12(a60,x21311,f7(a60)),x21311)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2134,plain,
% 15.75/15.83 (~E(f12(a60,x21341,f7(a60)),x21341)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2137,plain,
% 15.75/15.83 (~E(f12(a60,x21371,f7(a60)),x21371)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2139,plain,
% 15.75/15.83 (~E(f5(a61,f7(a61)),f4(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,290,308,309,316,317,318,319,321,322,326,341,361,372,399,2007,2014,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,462,1902,2030,441,506,1947,1961,415,1958,2049,419,1935,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598])).
% 15.75/15.83 cnf(2142,plain,
% 15.75/15.83 (~E(f12(a60,x21421,f7(a60)),x21421)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2147,plain,
% 15.75/15.83 (~E(f12(a60,x21471,f7(a60)),x21471)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2164,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),f7(a60)),x21641))),
% 15.75/15.83 inference(rename_variables,[],[419])).
% 15.75/15.83 cnf(2167,plain,
% 15.75/15.83 (~E(f12(a60,x21671,f7(a60)),x21671)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2170,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x21701,x21702),x21701),x21702)),
% 15.75/15.83 inference(rename_variables,[],[432])).
% 15.75/15.83 cnf(2173,plain,
% 15.75/15.83 (~E(f12(a61,f7(a61),f7(a61)),f4(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,399,2007,2014,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,462,1902,2030,441,433,506,1947,1961,415,1958,2049,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763])).
% 15.75/15.83 cnf(2180,plain,
% 15.75/15.83 (~E(f12(a60,x21801,f7(a60)),x21801)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2182,plain,
% 15.75/15.83 (~E(f12(a2,x21821,f12(a60,f5(a2,x21821),f7(a60))),f4(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,377,399,2007,2014,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,462,1902,2030,441,433,506,1947,1961,415,1958,2049,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788])).
% 15.75/15.83 cnf(2183,plain,
% 15.75/15.83 (~E(f12(a60,x21831,f7(a60)),x21831)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2187,plain,
% 15.75/15.83 (~E(x21871,f5(a61,f12(a61,f7(a61),x21871)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,377,399,2007,2014,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,462,1902,2030,441,433,506,1947,1961,415,1958,2049,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716])).
% 15.75/15.83 cnf(2190,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x21901),x21901))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2192,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x21921),f22(f22(f6(a60),x21921),x21922)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,377,399,2007,2014,498,1994,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716])).
% 15.75/15.83 cnf(2193,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x21931),x21931))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2196,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x21961),x21961))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2205,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x22051),x22051))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2206,plain,
% 15.75/15.83 (~P8(a60,x22061,f4(a60))),
% 15.75/15.83 inference(rename_variables,[],[498])).
% 15.75/15.83 cnf(2209,plain,
% 15.75/15.83 (~E(f12(a60,x22091,f7(a60)),x22091)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2211,plain,
% 15.75/15.83 (P8(a60,x22111,f22(f22(f6(a60),f3(a2,a70)),f12(a60,f44(f3(a2,a70),x22111,f22(f23(a60),f9(a60,x22111,f3(a2,a70)))),f7(a60))))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,377,399,2007,2014,498,1994,2091,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752])).
% 15.75/15.83 cnf(2212,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x22121),x22121))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2214,plain,
% 15.75/15.83 (P7(a60,f22(f22(f6(a60),f3(a2,a70)),f44(f3(a2,a70),x22141,f22(f23(a60),f9(a60,x22141,f3(a2,a70))))),x22141)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,377,399,2007,2014,498,1994,2091,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669])).
% 15.75/15.83 cnf(2215,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x22151),x22151))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2218,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x22181),x22181))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2226,plain,
% 15.75/15.83 (~P8(a60,x22261,f12(a60,f22(f22(f6(a60),f8(a60,x22262,x22262)),x22263),x22261))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,2099,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,377,399,2007,2014,498,1994,2091,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818])).
% 15.75/15.83 cnf(2227,plain,
% 15.75/15.83 (~P8(a60,x22271,x22271)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(2229,plain,
% 15.75/15.83 (P7(a60,f12(a60,f22(f22(f6(a60),f8(a60,f4(a60),f4(a60))),x22291),x22292),x22292)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,393,1884,1890,495,1967,1973,1990,1992,2027,2099,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,377,399,2007,2014,2116,498,1994,2091,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811])).
% 15.75/15.83 cnf(2230,plain,
% 15.75/15.83 (P7(a60,x22301,x22301)),
% 15.75/15.83 inference(rename_variables,[],[392])).
% 15.75/15.83 cnf(2231,plain,
% 15.75/15.83 (P7(a60,f4(a60),x22311)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2239,plain,
% 15.75/15.83 (~E(f12(a60,f22(f22(f6(a60),f8(a60,x22391,x22391)),x22392),f12(a60,f12(a60,f22(f22(f6(a60),x22391),x22392),x22393),f7(a60))),x22393)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,393,1884,1890,495,1967,1973,1990,1992,2027,2099,238,240,242,259,290,308,309,316,317,318,319,321,322,326,341,361,372,373,377,399,2007,2014,2116,498,1994,2091,411,383,492,407,488,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762])).
% 15.75/15.83 cnf(2244,plain,
% 15.75/15.83 (E(f12(a60,x22441,f12(a60,x22442,x22443)),f12(a60,x22442,f12(a60,x22441,x22443)))),
% 15.75/15.83 inference(rename_variables,[],[444])).
% 15.75/15.83 cnf(2250,plain,
% 15.75/15.83 (P7(a60,x22501,x22501)),
% 15.75/15.83 inference(rename_variables,[],[392])).
% 15.75/15.83 cnf(2262,plain,
% 15.75/15.83 (~E(f12(a61,f22(f22(f6(a61),x22621),x22622),f7(a61)),f12(a61,f22(f22(f6(a61),x22623),x22622),f22(f22(f6(a61),f8(a61,x22621,x22623)),x22622)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,393,1884,1890,495,1967,1973,1990,1992,2027,2099,238,240,242,255,259,290,308,309,316,317,318,319,321,322,323,326,341,361,372,373,377,399,2007,2014,2116,498,1994,2091,411,383,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,444,2244,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737])).
% 15.75/15.83 cnf(2265,plain,
% 15.75/15.83 (~E(f12(a60,x22651,f7(a60)),x22651)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2270,plain,
% 15.75/15.83 (P8(a60,x22701,f12(a60,x22701,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2272,plain,
% 15.75/15.83 (~P7(a60,a67,f4(a60))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,393,1884,1890,495,1967,1973,1990,1992,2027,2099,238,240,242,254,255,259,290,308,309,316,317,318,319,321,322,323,326,341,361,372,373,377,399,2007,2014,2116,2231,498,1994,2091,411,383,486,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,2100,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,432,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,444,2244,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934])).
% 15.75/15.83 cnf(2273,plain,
% 15.75/15.83 (P7(a60,f4(a60),x22731)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2276,plain,
% 15.75/15.83 (P7(a60,f4(a60),x22761)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2279,plain,
% 15.75/15.83 (P7(a60,f4(a60),x22791)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2282,plain,
% 15.75/15.83 (~P8(a60,x22821,f4(a60))),
% 15.75/15.83 inference(rename_variables,[],[498])).
% 15.75/15.83 cnf(2287,plain,
% 15.75/15.83 (P73(f22(f22(f23(a60),x22871),x22871))),
% 15.75/15.83 inference(rename_variables,[],[415])).
% 15.75/15.83 cnf(2290,plain,
% 15.75/15.83 (~E(f12(a60,x22901,f7(a60)),x22901)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2291,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x22911,x22912),x22912),x22911)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(2294,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x22941,x22942),x22941),x22942)),
% 15.75/15.83 inference(rename_variables,[],[432])).
% 15.75/15.83 cnf(2295,plain,
% 15.75/15.83 (P7(a60,f4(a60),x22951)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2296,plain,
% 15.75/15.83 (P7(a60,x22961,x22961)),
% 15.75/15.83 inference(rename_variables,[],[392])).
% 15.75/15.83 cnf(2299,plain,
% 15.75/15.83 (P7(a60,f4(a60),x22991)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2302,plain,
% 15.75/15.83 (P7(a60,x23021,x23021)),
% 15.75/15.83 inference(rename_variables,[],[392])).
% 15.75/15.83 cnf(2304,plain,
% 15.75/15.83 (~P7(a60,f12(a60,f12(a60,f4(a60),f7(a60)),x23041),x23041)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,393,1884,1890,495,1967,1973,1990,1992,2027,2099,2227,238,240,242,254,255,259,290,308,309,316,317,318,319,321,322,323,326,341,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,498,1994,2091,2206,411,383,486,487,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,2100,2270,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,432,2170,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,444,2244,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279])).
% 15.75/15.83 cnf(2305,plain,
% 15.75/15.83 (~P8(a60,x23051,x23051)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(2306,plain,
% 15.75/15.83 (P8(a60,x23061,f12(a60,x23061,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2309,plain,
% 15.75/15.83 (P7(a60,x23091,x23091)),
% 15.75/15.83 inference(rename_variables,[],[392])).
% 15.75/15.83 cnf(2312,plain,
% 15.75/15.83 (P8(a60,x23121,f12(a60,x23121,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2314,plain,
% 15.75/15.83 (P11(a2,f4(f63(a2)),x23141,f8(a60,f12(a60,f4(f63(a2)),x23142),x23142),f8(a60,f12(a60,f4(f63(a2)),x23142),x23142))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,495,1967,1973,1990,1992,2027,2099,2227,238,240,242,254,255,259,290,291,308,309,316,317,318,319,321,322,323,326,341,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,498,1994,2091,2206,411,383,486,487,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,508,1905,417,1876,1893,397,434,2038,2042,2046,2067,2070,2100,2270,2306,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,432,2170,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,444,2244,510,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770])).
% 15.75/15.83 cnf(2315,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x23151,x23152),x23152),x23151)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(2316,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x23161,x23162),x23162),x23161)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(2319,plain,
% 15.75/15.83 (~P8(a60,f12(a60,x23191,x23192),x23192)),
% 15.75/15.83 inference(rename_variables,[],[507])).
% 15.75/15.83 cnf(2322,plain,
% 15.75/15.83 (~P8(a60,f12(a60,x23221,x23222),x23221)),
% 15.75/15.83 inference(rename_variables,[],[508])).
% 15.75/15.83 cnf(2325,plain,
% 15.75/15.83 (P8(a60,x23251,f12(a60,x23251,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2330,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x23301,x23302),x23302),x23301)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(2333,plain,
% 15.75/15.83 (P7(a60,f4(a60),x23331)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2351,plain,
% 15.75/15.83 (~E(f22(f22(f6(a61),f7(a61)),a67),f22(f22(f6(a61),f7(a61)),f4(a60)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,495,1967,1973,1990,1992,2027,2099,2227,238,240,242,245,254,255,256,259,277,290,291,295,308,309,316,317,318,319,321,322,323,326,341,343,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,498,1994,2091,2206,411,383,486,487,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,397,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,432,2170,400,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511])).
% 15.75/15.83 cnf(2352,plain,
% 15.75/15.83 (E(f12(a61,x23521,x23522),f12(a61,x23522,x23521))),
% 15.75/15.83 inference(rename_variables,[],[418])).
% 15.75/15.83 cnf(2355,plain,
% 15.75/15.83 (~E(f12(a60,x23551,f7(a60)),x23551)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2356,plain,
% 15.75/15.83 (~E(f12(a60,x23561,f7(a60)),x23561)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2357,plain,
% 15.75/15.83 (~P8(a60,x23571,x23571)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(2360,plain,
% 15.75/15.83 (E(f8(a60,x23601,f4(a60)),x23601)),
% 15.75/15.83 inference(rename_variables,[],[400])).
% 15.75/15.83 cnf(2361,plain,
% 15.75/15.83 (~E(f12(a60,x23611,f7(a60)),x23611)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2362,plain,
% 15.75/15.83 (E(f8(a60,f12(a60,x23621,x23622),x23622),x23621)),
% 15.75/15.83 inference(rename_variables,[],[431])).
% 15.75/15.83 cnf(2370,plain,
% 15.75/15.83 (~P74(f22(f23(f63(a2)),f22(f22(f28(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),f12(a60,f18(a2,a1,a66),f7(a60)))),f7(a61),f12(a61,f4(a61),f22(f22(f6(a61),f7(a61)),a66)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,495,1967,1973,1990,1992,2027,2099,2227,2305,238,240,242,245,254,255,256,259,277,290,291,295,308,309,316,317,318,319,321,322,323,326,341,343,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,498,1994,2091,2206,411,383,486,487,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,397,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607])).
% 15.75/15.83 cnf(2371,plain,
% 15.75/15.83 (E(f12(a61,x23711,x23712),f12(a61,x23712,x23711))),
% 15.75/15.83 inference(rename_variables,[],[418])).
% 15.75/15.83 cnf(2372,plain,
% 15.75/15.83 (P7(a61,x23721,x23721)),
% 15.75/15.83 inference(rename_variables,[],[393])).
% 15.75/15.83 cnf(2375,plain,
% 15.75/15.83 (E(f12(a61,x23751,x23752),f12(a61,x23752,x23751))),
% 15.75/15.83 inference(rename_variables,[],[418])).
% 15.75/15.83 cnf(2376,plain,
% 15.75/15.83 (P7(a61,x23761,x23761)),
% 15.75/15.83 inference(rename_variables,[],[393])).
% 15.75/15.83 cnf(2379,plain,
% 15.75/15.83 (P7(a60,f4(a60),x23791)),
% 15.75/15.83 inference(rename_variables,[],[399])).
% 15.75/15.83 cnf(2393,plain,
% 15.75/15.83 (P8(a60,f4(a60),f3(a2,a70))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,240,242,245,254,255,256,259,277,290,291,295,308,309,316,317,318,319,320,321,322,323,326,341,343,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627])).
% 15.75/15.83 cnf(2397,plain,
% 15.75/15.83 (~E(f22(f22(f6(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),x23971),a70)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,240,242,245,254,255,256,259,277,290,291,295,308,309,316,317,318,319,320,321,322,323,326,341,343,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777])).
% 15.75/15.83 cnf(2402,plain,
% 15.75/15.83 (P7(a61,f12(a61,f4(a61),f7(a61)),f7(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,240,242,245,254,255,256,259,277,290,291,295,308,309,316,317,318,319,320,321,322,323,326,341,343,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093])).
% 15.75/15.83 cnf(2408,plain,
% 15.75/15.83 (P8(a61,f4(a61),f12(a61,f7(a61),f7(a61)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,240,242,245,254,255,256,259,277,290,291,295,308,309,316,317,318,319,320,321,322,323,326,341,343,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085])).
% 15.75/15.83 cnf(2416,plain,
% 15.75/15.83 (P73(f22(f22(f23(a2),x24161),x24161))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,254,255,256,259,277,290,291,295,308,309,316,317,318,319,320,321,322,323,326,341,343,361,368,372,373,377,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784])).
% 15.75/15.83 cnf(2440,plain,
% 15.75/15.83 (P5(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569])).
% 15.75/15.83 cnf(2442,plain,
% 15.75/15.83 (P31(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568])).
% 15.75/15.83 cnf(2448,plain,
% 15.75/15.83 (P30(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565])).
% 15.75/15.83 cnf(2476,plain,
% 15.75/15.83 (P40(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551])).
% 15.75/15.83 cnf(2480,plain,
% 15.75/15.83 (P36(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549])).
% 15.75/15.83 cnf(2484,plain,
% 15.75/15.83 (P21(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547])).
% 15.75/15.83 cnf(2490,plain,
% 15.75/15.83 (P20(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544])).
% 15.75/15.83 cnf(2492,plain,
% 15.75/15.83 (P24(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543])).
% 15.75/15.83 cnf(2506,plain,
% 15.75/15.83 (P57(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536])).
% 15.75/15.83 cnf(2510,plain,
% 15.75/15.83 (P59(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534])).
% 15.75/15.83 cnf(2512,plain,
% 15.75/15.83 (P56(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533])).
% 15.75/15.83 cnf(2514,plain,
% 15.75/15.83 (P54(f63(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532])).
% 15.75/15.83 cnf(2516,plain,
% 15.75/15.83 (P41(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531])).
% 15.75/15.83 cnf(2526,plain,
% 15.75/15.83 (P33(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526])).
% 15.75/15.83 cnf(2530,plain,
% 15.75/15.83 (P69(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524])).
% 15.75/15.83 cnf(2532,plain,
% 15.75/15.83 (P53(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523])).
% 15.75/15.83 cnf(2536,plain,
% 15.75/15.83 (P52(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521])).
% 15.75/15.83 cnf(2538,plain,
% 15.75/15.83 (P51(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520])).
% 15.75/15.83 cnf(2540,plain,
% 15.75/15.83 (P50(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519])).
% 15.75/15.83 cnf(2544,plain,
% 15.75/15.83 (P3(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517])).
% 15.75/15.83 cnf(2550,plain,
% 15.75/15.83 (P32(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514])).
% 15.75/15.83 cnf(2554,plain,
% 15.75/15.83 (P1(f63(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512])).
% 15.75/15.83 cnf(2557,plain,
% 15.75/15.83 (P8(a60,x25571,f12(a60,x25571,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2559,plain,
% 15.75/15.83 (P8(a60,f8(a60,f12(a60,f4(a60),f7(a60)),f12(a60,x25591,f7(a60))),f12(a60,f4(a60),f7(a60)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470])).
% 15.75/15.83 cnf(2560,plain,
% 15.75/15.83 (P8(a60,x25601,f12(a60,x25601,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2563,plain,
% 15.75/15.83 (P8(a60,x25631,f12(a60,x25631,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2566,plain,
% 15.75/15.83 (~E(f12(a60,x25661,f7(a60)),x25661)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2568,plain,
% 15.75/15.83 (E(f12(a60,f54(f12(a60,f4(a60),f7(a60))),f7(a60)),f12(a60,f4(a60),f7(a60)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878])).
% 15.75/15.83 cnf(2569,plain,
% 15.75/15.83 (P8(a60,x25691,f12(a60,x25691,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2573,plain,
% 15.75/15.83 (~E(f12(a60,f3(a2,a70),x25731),f4(a60))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,495,1967,1973,1990,1992,2027,2099,2227,2305,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724])).
% 15.75/15.83 cnf(2578,plain,
% 15.75/15.83 (~E(f12(a60,x25781,f7(a60)),x25781)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2581,plain,
% 15.75/15.83 (~E(f12(a60,x25811,f7(a60)),x25811)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2594,plain,
% 15.75/15.83 (~P8(a60,x25941,x25941)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(2597,plain,
% 15.75/15.83 (~P8(a60,x25971,x25971)),
% 15.75/15.83 inference(rename_variables,[],[495])).
% 15.75/15.83 cnf(2599,plain,
% 15.75/15.83 (P8(a61,f4(a61),f12(a61,f7(a61),f4(a61)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,2376,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102])).
% 15.75/15.83 cnf(2600,plain,
% 15.75/15.83 (P7(a61,x26001,x26001)),
% 15.75/15.83 inference(rename_variables,[],[393])).
% 15.75/15.83 cnf(2602,plain,
% 15.75/15.83 (P7(a61,f4(a61),f22(f22(f28(a61),f4(a61)),x26021))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049])).
% 15.75/15.83 cnf(2603,plain,
% 15.75/15.83 (P7(a61,x26031,x26031)),
% 15.75/15.83 inference(rename_variables,[],[393])).
% 15.75/15.83 cnf(2606,plain,
% 15.75/15.83 (P8(a60,x26061,f12(a60,x26061,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2610,plain,
% 15.75/15.83 (~E(f22(f22(f6(a60),f12(a60,f12(a60,f4(a60),f7(a60)),f7(a60))),x26101),f12(a60,f4(a60),f7(a60)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020])).
% 15.75/15.83 cnf(2611,plain,
% 15.75/15.83 (~E(f12(a60,x26111,f7(a60)),x26111)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2614,plain,
% 15.75/15.83 (~E(f12(a60,x26141,f7(a60)),x26141)),
% 15.75/15.83 inference(rename_variables,[],[500])).
% 15.75/15.83 cnf(2617,plain,
% 15.75/15.83 (E(f12(a60,x26171,x26172),f12(a60,x26172,x26171))),
% 15.75/15.83 inference(rename_variables,[],[417])).
% 15.75/15.83 cnf(2763,plain,
% 15.75/15.83 (~P7(a60,f22(f22(f6(a60),f12(a60,x27631,f7(a60))),f12(a60,f12(a60,f12(a60,x27632,f12(a60,f7(a60),f7(a60))),x27633),f7(a60))),f22(f22(f6(a60),f12(a60,x27631,f7(a60))),f12(a60,x27632,f12(a60,f7(a60),f7(a60)))))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789])).
% 15.75/15.83 cnf(2765,plain,
% 15.75/15.83 (P11(a2,x27651,f4(f63(a2)),f4(f63(a2)),x27651)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760])).
% 15.75/15.83 cnf(2771,plain,
% 15.75/15.83 (P73(f22(f22(f23(f63(a2)),f25(a2,x27711,x27712)),x27711))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,498,1994,2091,2206,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598])).
% 15.75/15.83 cnf(2803,plain,
% 15.75/15.83 (P7(a60,f22(f22(f6(a60),f4(a60)),x28031),f22(f22(f6(a60),x28032),x28031))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198])).
% 15.75/15.83 cnf(2807,plain,
% 15.75/15.83 (~P8(a61,f8(a61,f4(a61),f4(a61)),f4(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176])).
% 15.75/15.83 cnf(2819,plain,
% 15.75/15.83 (P8(f63(a61),x28191,f12(f63(a61),x28191,f7(f63(a61))))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,300,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930])).
% 15.75/15.83 cnf(2821,plain,
% 15.75/15.83 (P7(a61,f4(a61),f22(f22(f6(a61),x28211),x28211))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,300,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901])).
% 15.75/15.83 cnf(2843,plain,
% 15.75/15.83 (~P7(f63(a61),f7(f63(a61)),f4(f63(a61)))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,300,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783])).
% 15.75/15.83 cnf(2853,plain,
% 15.75/15.83 (E(f12(f63(a2),f4(f63(a2)),x28531),x28531)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,277,280,288,290,291,295,300,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702])).
% 15.75/15.83 cnf(2901,plain,
% 15.75/15.83 (~P8(a61,f12(a61,f12(a61,f7(a61),f4(a61)),f4(a61)),f4(a61))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,238,239,240,242,245,249,252,254,255,256,259,269,274,277,280,283,288,290,291,295,300,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,356,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633])).
% 15.75/15.83 cnf(2920,plain,
% 15.75/15.83 (P8(a60,x29201,f12(a60,x29201,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2933,plain,
% 15.75/15.83 (P8(a60,x29331,f12(a60,x29331,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(2936,plain,
% 15.75/15.83 (P8(a60,x29361,f12(a60,x29361,f7(a60)))),
% 15.75/15.83 inference(rename_variables,[],[434])).
% 15.75/15.83 cnf(3022,plain,
% 15.75/15.83 (E(f22(f14(a2,f4(f63(a2))),x30221),f4(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,269,274,277,280,281,283,288,290,291,295,300,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,356,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712])).
% 15.75/15.83 cnf(3026,plain,
% 15.75/15.83 (E(f22(f17(a2,f4(f63(a2))),x30261),f4(a2))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,269,274,277,280,281,283,288,290,291,295,300,308,309,316,317,318,319,320,321,322,323,326,330,331,334,338,341,343,356,361,368,372,373,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710])).
% 15.75/15.83 cnf(3218,plain,
% 15.75/15.83 (E(f3(a2,f22(f22(f28(f63(a2)),f20(a2,x32181,f20(a2,f7(a2),f4(f63(a2))))),x32182)),x32182)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,268,269,274,277,280,281,283,288,290,291,295,300,308,309,310,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,351,356,361,368,372,373,374,375,376,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790])).
% 15.75/15.83 cnf(3242,plain,
% 15.75/15.83 (P73(f22(f22(f23(f63(a2)),f22(f22(f28(f63(a2)),f20(a2,f5(a2,x32421),f20(a2,f7(a2),f4(f63(a2))))),f18(a2,x32421,x32422))),x32422))),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,268,269,272,274,277,280,281,283,288,290,291,295,300,308,309,310,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,351,356,361,362,368,372,373,374,375,376,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854])).
% 15.75/15.83 cnf(3250,plain,
% 15.75/15.83 (E(f12(f63(a2),f22(f22(f6(f63(a2)),f20(a2,f5(a2,x32501),f20(a2,f7(a2),f4(f63(a2))))),f26(a2,x32502,x32501)),f20(a2,f22(f17(a2,x32502),x32501),f4(f63(a2)))),x32502)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,268,269,272,274,277,280,281,283,288,290,291,295,300,308,309,310,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,351,356,361,362,368,372,373,374,375,376,377,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826])).
% 15.75/15.83 cnf(3257,plain,
% 15.75/15.83 (~E(a61,x32571)+P6(x32571)),
% 15.75/15.83 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,268,269,272,274,277,280,281,283,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,351,356,361,362,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230])).
% 15.75/15.84 cnf(3273,plain,
% 15.75/15.84 (P16(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197])).
% 15.75/15.84 cnf(3275,plain,
% 15.75/15.84 (P33(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195])).
% 15.75/15.84 cnf(3278,plain,
% 15.75/15.84 (P69(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190])).
% 15.75/15.84 cnf(3279,plain,
% 15.75/15.84 (~P9(a61,f8(a60,f12(a60,f4(f63(a61)),x32791),x32791))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188])).
% 15.75/15.84 cnf(3281,plain,
% 15.75/15.84 (P53(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,400,1996,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186])).
% 15.75/15.84 cnf(3287,plain,
% 15.75/15.84 (~P11(f8(a60,a2,f4(a60)),f4(f63(a2)),x32871,f12(a60,f4(f63(a2)),f7(a60)),x32872)),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179])).
% 15.75/15.84 cnf(3288,plain,
% 15.75/15.84 (P52(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177])).
% 15.75/15.84 cnf(3289,plain,
% 15.75/15.84 (P4(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176])).
% 15.75/15.84 cnf(3295,plain,
% 15.75/15.84 (P48(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163])).
% 15.75/15.84 cnf(3296,plain,
% 15.75/15.84 (~P7(f12(a60,a60,f4(a60)),f12(a60,f9(f63(a2),f4(f63(a2)),f22(f22(f6(f63(a2)),x32961),x32962)),f7(a60)),f9(f63(a2),f4(f63(a2)),f22(f22(f6(f63(a2)),x32961),x32962)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160])).
% 15.75/15.84 cnf(3297,plain,
% 15.75/15.84 (P32(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159])).
% 15.75/15.84 cnf(3298,plain,
% 15.75/15.84 (~P74(f12(a61,f22(f23(f63(a2)),f22(f22(f28(f63(a2)),f20(a2,f5(a2,a1),f20(a2,f7(a2),f4(f63(a2))))),f12(a60,f18(a2,a1,a66),f7(a60)))),f4(a61)),f7(a61),f12(a61,f4(a61),f22(f22(f6(a61),f7(a61)),a66)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156])).
% 15.75/15.84 cnf(3299,plain,
% 15.75/15.84 (P2(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152])).
% 15.75/15.84 cnf(3301,plain,
% 15.75/15.84 (P1(f12(a60,a2,f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,462,1902,2030,441,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149])).
% 15.75/15.84 cnf(3353,plain,
% 15.75/15.84 (E(f12(a60,f4(a60),x33531),x33531)),
% 15.75/15.84 inference(rename_variables,[],[403])).
% 15.75/15.84 cnf(3356,plain,
% 15.75/15.84 (E(f12(a60,f4(a60),x33561),x33561)),
% 15.75/15.84 inference(rename_variables,[],[403])).
% 15.75/15.84 cnf(3362,plain,
% 15.75/15.84 (~P7(a61,f4(a61),f9(a61,f7(a61),f8(a61,f7(a61),f12(a61,f7(a61),f7(a61)))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,441,435,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351])).
% 15.75/15.84 cnf(3380,plain,
% 15.75/15.84 (~E(f12(a60,f12(a60,f12(a60,f4(a60),f7(a60)),f3(a2,a70)),x33801),f12(a60,f4(a60),f7(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,441,435,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054])).
% 15.75/15.84 cnf(3408,plain,
% 15.75/15.84 (~P73(f22(f22(f23(a60),f22(f22(f6(a60),f12(a60,f12(a60,f22(f22(f6(a60),f22(x34081,f58(x34081,x34081,x34082,a60))),x34083),f7(a60)),f7(a60))),f12(a60,f4(a60),f7(a60)))),f12(a60,f4(a60),f7(a60))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694])).
% 15.75/15.84 cnf(3432,plain,
% 15.75/15.84 (~E(f12(a60,f4(a60),f7(a60)),f12(a60,x34321,f12(a60,f12(a60,f4(a60),f7(a60)),f3(a2,a70))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055])).
% 15.75/15.84 cnf(3442,plain,
% 15.75/15.84 (P8(a61,f12(a61,f7(a61),f4(a61)),f12(a61,f12(a61,f7(a61),f7(a61)),f4(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408])).
% 15.75/15.84 cnf(3490,plain,
% 15.75/15.84 (~E(f22(f22(f6(a60),f12(a60,f7(a60),x34901)),f4(a60)),f22(f22(f6(a60),f12(a60,f7(a60),x34901)),a67))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050])).
% 15.75/15.84 cnf(3492,plain,
% 15.75/15.84 (~E(f22(f22(f6(a60),f3(a2,a70)),f3(a2,a70)),f22(f22(f6(a60),f4(a60)),f3(a2,a70)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876])).
% 15.75/15.84 cnf(3494,plain,
% 15.75/15.84 (~E(f22(f22(f6(a60),f3(a2,a70)),f3(a2,a70)),f22(f22(f6(a60),f3(a2,a70)),f4(a60)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875])).
% 15.75/15.84 cnf(3502,plain,
% 15.75/15.84 (P8(a60,f8(a60,f3(a2,a70),f8(a60,f3(a2,a70),x35021)),f8(a60,a67,f8(a60,f3(a2,a70),x35021)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406])).
% 15.75/15.84 cnf(3512,plain,
% 15.75/15.84 (P7(a61,f4(a61),f5(a61,f4(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940])).
% 15.75/15.84 cnf(3532,plain,
% 15.75/15.84 (P73(f22(f22(f23(a60),f4(a60)),f22(f22(f6(a60),f12(a60,f4(a60),f4(a60))),x35321)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348])).
% 15.75/15.84 cnf(3546,plain,
% 15.75/15.84 (~P8(f63(a61),f8(f63(a61),f7(f63(a61)),f4(f63(a61))),f4(f63(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219])).
% 15.75/15.84 cnf(3548,plain,
% 15.75/15.84 (~P9(a61,f8(f63(a61),f4(f63(a61)),f7(f63(a61))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129])).
% 15.75/15.84 cnf(3554,plain,
% 15.75/15.84 (P7(a61,f8(a61,f4(a61),f4(a61)),f4(a61))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108])).
% 15.75/15.84 cnf(3556,plain,
% 15.75/15.84 (P9(a61,f8(f63(a61),f12(f63(a61),x35561,f7(f63(a61))),x35561))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051])).
% 15.75/15.84 cnf(3558,plain,
% 15.75/15.84 (~P7(a61,f5(a61,f4(a61)),f5(a61,f7(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031])).
% 15.75/15.84 cnf(3562,plain,
% 15.75/15.84 (P8(f63(a61),f5(f63(a61),f12(f63(a61),f5(f63(a61),x35621),f7(f63(a61)))),x35621)),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998])).
% 15.75/15.84 cnf(3584,plain,
% 15.75/15.84 (P7(a60,f22(f22(f6(a60),f12(a60,f4(a60),f7(a60))),f5(a61,f5(a61,f9(a60,x35841,f12(a60,f4(a60),f7(a60)))))),x35841)),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194])).
% 15.75/15.84 cnf(3594,plain,
% 15.75/15.84 (P8(a61,f4(a61),f22(f22(f28(a61),f7(a61)),x35941))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,245,247,249,252,253,254,255,256,259,261,264,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113])).
% 15.75/15.84 cnf(3646,plain,
% 15.75/15.84 (P7(a61,f12(a61,f4(a61),f4(a61)),f4(a61))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,386,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123])).
% 15.75/15.84 cnf(3648,plain,
% 15.75/15.84 (P8(a61,f12(a61,f8(a61,f7(a61),f12(a61,f7(a61),f7(a61))),f8(a61,f7(a61),f12(a61,f7(a61),f7(a61)))),f4(a61))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,386,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122])).
% 15.75/15.84 cnf(3652,plain,
% 15.75/15.84 (P7(a61,f4(a61),f12(a61,f7(a61),f7(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,386,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120])).
% 15.75/15.84 cnf(3684,plain,
% 15.75/15.84 (P73(f22(f22(f23(a61),f22(f22(f6(a61),f5(a61,f4(a61))),x36841)),f22(f22(f6(a61),f5(a61,f4(a61))),x36842)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,386,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671])).
% 15.75/15.84 cnf(3686,plain,
% 15.75/15.84 (P73(f22(f22(f23(a61),f22(f22(f6(a61),x36861),f5(a61,f4(a61)))),f22(f22(f6(a61),x36862),f5(a61,f4(a61)))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,300,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,386,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670])).
% 15.75/15.84 cnf(3784,plain,
% 15.75/15.84 (P8(f63(a61),f4(f63(a61)),f5(f63(a61),f5(f63(a61),f12(f63(a61),f5(f63(a61),f5(f63(a61),f7(f63(a61)))),f7(f63(a61))))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,297,300,303,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,385,386,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043])).
% 15.75/15.84 cnf(3789,plain,
% 15.75/15.84 (~P8(a60,x37891,f4(a60))),
% 15.75/15.84 inference(rename_variables,[],[498])).
% 15.75/15.84 cnf(3791,plain,
% 15.75/15.84 (P8(a61,f4(a61),f12(a61,f12(a61,f7(a61),f4(a61)),f4(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,297,300,303,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,511,427,1879,1887,1896,1899,428,1984,429,2006,430,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,510,416,419,1935,2045,2164,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800])).
% 15.75/15.84 cnf(3792,plain,
% 15.75/15.84 (~E(f12(a61,f12(a61,f7(a61),x37921),x37921),f4(a61))),
% 15.75/15.84 inference(rename_variables,[],[510])).
% 15.75/15.84 cnf(3846,plain,
% 15.75/15.84 (~P7(a61,f22(f22(f28(a61),f7(a61)),f12(a60,x38461,f7(a60))),f22(f22(f28(a61),f4(a61)),f12(a60,x38461,f7(a60))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,295,297,300,303,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,416,419,1935,2045,2164,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766])).
% 15.75/15.84 cnf(3910,plain,
% 15.75/15.84 (~P7(a61,f4(a61),f22(f22(f6(a61),f7(a61)),f5(a61,f7(a61))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,416,419,1935,2045,2164,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340])).
% 15.75/15.84 cnf(3912,plain,
% 15.75/15.84 (~P7(a61,f4(a61),f22(f22(f6(a61),f5(a61,f7(a61))),f7(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,416,419,1935,2045,2164,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339])).
% 15.75/15.84 cnf(3926,plain,
% 15.75/15.84 (P7(a61,f22(f22(f6(a61),f4(a61)),f4(a61)),f4(a61))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,416,419,1935,2045,2164,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312])).
% 15.75/15.84 cnf(3938,plain,
% 15.75/15.84 (P7(f63(a61),f4(f63(a61)),f22(f22(f6(f63(a61)),f7(f63(a61))),f7(f63(a61))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,416,419,1935,2045,2164,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302])).
% 15.75/15.84 cnf(3942,plain,
% 15.75/15.84 (P8(a61,f7(a61),f22(f22(f6(a61),f12(a61,f7(a61),f7(a61))),f12(a61,f7(a61),f7(a61))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,416,419,1935,2045,2164,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299])).
% 15.75/15.84 cnf(3977,plain,
% 15.75/15.84 (~P73(f22(f22(f23(a61),f22(f22(f6(a61),f7(a61)),f22(f22(f6(a61),f7(a61)),f12(a61,f7(a61),f7(a61))))),f22(f22(f6(a61),f7(a61)),f22(f22(f6(a61),f7(a61)),f7(a61)))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,262,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765])).
% 15.75/15.84 cnf(3985,plain,
% 15.75/15.84 (P7(a61,f12(a61,f22(f22(f6(a61),f5(a61,f4(a61))),f5(a61,f4(a61))),f22(f22(f6(a61),f5(a61,f4(a61))),f5(a61,f4(a61)))),f4(a61))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,262,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765,1764,1732,1718,1603])).
% 15.75/15.84 cnf(3991,plain,
% 15.75/15.84 (E(f22(f14(a2,f25(a2,f19(a2,f4(a2),x39911),f19(a2,f4(a2),x39911))),f3(a2,f25(a2,f19(a2,f4(a2),x39911),f19(a2,f4(a2),x39911)))),f4(a2))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,262,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765,1764,1732,1718,1603,1165,1136,1544])).
% 15.75/15.84 cnf(3995,plain,
% 15.75/15.84 (~P7(a61,f12(a61,f22(f22(f6(a61),f8(a61,f7(a61),f12(a61,f7(a61),f7(a61)))),f4(a61)),f4(a61)),f12(a61,f22(f22(f6(a61),f8(a61,f7(a61),f12(a61,f7(a61),f7(a61)))),f7(a61)),f4(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,259,260,261,262,264,265,266,268,269,272,274,277,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765,1764,1732,1718,1603,1165,1136,1544,1774,1773])).
% 15.75/15.84 cnf(4003,plain,
% 15.75/15.84 (P11(a2,f22(f22(f6(a61),f7(a61)),f12(f63(a2),f22(f22(f6(f63(a2)),f26(a2,f4(f63(a2)),x40031)),x40032),f26(a2,f4(f63(a2)),x40031))),x40032,f26(a2,f4(f63(a2)),x40031),f26(a2,f4(f63(a2)),x40031))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,257,259,260,261,262,264,265,266,268,269,272,274,277,278,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,395,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765,1764,1732,1718,1603,1165,1136,1544,1774,1773,1541,1772,1782,1781])).
% 15.75/15.84 cnf(4006,plain,
% 15.75/15.84 (P7(a61,x40061,x40061)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4009,plain,
% 15.75/15.84 (P7(a60,f4(a60),x40091)),
% 15.75/15.84 inference(rename_variables,[],[399])).
% 15.75/15.84 cnf(4011,plain,
% 15.75/15.84 (~P7(a60,f3(a2,f20(a2,f4(a2),f12(a60,f4(f63(a2)),f7(a60)))),f4(a60))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,257,259,260,261,262,264,265,266,268,269,272,274,277,278,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,3789,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,395,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765,1764,1732,1718,1603,1165,1136,1544,1774,1773,1541,1772,1782,1781,1150,1149,1145])).
% 15.75/15.84 cnf(4016,plain,
% 15.75/15.84 (~P74(f22(f23(a60),f12(a60,f7(a60),f7(a60))),f8(a61,f7(a61),f12(a61,f7(a61),f7(a61))),f9(a60,f12(a61,f22(f22(f6(a61),f8(a61,f7(a61),f12(a61,f7(a61),f7(a61)))),f7(a60)),f4(a61)),f12(a60,f4(a60),f7(a60))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,4006,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,257,259,260,261,262,264,265,266,268,269,272,274,277,278,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,3789,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,395,437,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765,1764,1732,1718,1603,1165,1136,1544,1774,1773,1541,1772,1782,1781,1150,1149,1145,1813,1606])).
% 15.75/15.84 cnf(4032,plain,
% 15.75/15.84 (P8(a61,f22(f22(f6(a61),f4(a61)),f4(a61)),f22(f22(f6(a61),f7(a61)),f7(a61)))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,4006,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,257,259,260,261,262,264,265,266,267,268,269,270,272,274,275,277,278,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,498,1994,2091,2206,2282,3789,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,395,437,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765,1764,1732,1718,1603,1165,1136,1544,1774,1773,1541,1772,1782,1781,1150,1149,1145,1813,1606,816,1514,815,1623,1622,1621,1620,1619])).
% 15.75/15.84 cnf(4042,plain,
% 15.75/15.84 (~P73(f22(f22(f23(a61),f12(a61,f7(a61),f7(a61))),f5(a61,f7(a61))))),
% 15.75/15.84 inference(scs_inference,[],[485,392,1986,2230,2250,2296,2302,2309,393,1884,1890,1955,2372,2376,2600,2603,4006,495,1967,1973,1990,1992,2027,2099,2227,2305,2357,2594,2597,238,239,240,242,243,244,245,247,248,249,252,253,254,255,256,257,259,260,261,262,263,264,265,266,267,268,269,270,271,272,274,275,276,277,278,280,281,283,286,288,290,291,292,293,294,295,297,298,300,301,302,303,305,307,308,309,310,313,316,317,318,319,320,321,322,323,326,329,330,331,334,338,341,342,343,345,347,348,351,356,359,361,362,365,368,369,370,371,372,373,374,375,376,377,378,379,380,399,2007,2014,2116,2231,2273,2276,2279,2295,2299,2333,2379,4009,498,1994,2091,2206,2282,3789,411,383,486,487,492,407,409,488,493,385,386,387,481,484,511,427,1879,1887,1896,1899,428,1984,429,2006,430,1870,507,1873,1916,1919,1925,2319,508,1905,1922,2322,426,417,1876,1893,2617,418,2352,2371,2375,397,2050,434,2038,2042,2046,2067,2070,2100,2270,2306,2312,2325,2557,2560,2563,2569,2606,2920,2933,2936,509,1910,1913,1970,431,1928,1950,1978,1980,1982,2033,2084,2291,2316,2330,2362,2315,432,2170,2294,400,1996,2360,401,402,403,2066,3353,3356,404,500,1998,2055,2058,2061,2081,2096,2103,2115,2131,2134,2137,2142,2147,2167,2180,2183,2209,2265,2290,2356,2361,2355,2566,2578,2581,2611,2614,388,462,1902,2030,2039,463,441,435,423,433,412,406,506,1947,1961,1964,415,1958,2049,2106,2190,2193,2196,2205,2212,2215,2218,2287,440,389,390,444,2244,445,394,395,437,510,3792,416,419,1935,2045,2164,454,474,2,730,709,708,718,853,729,894,855,1263,1262,1185,1184,1178,1177,1170,1169,1166,1083,1065,1064,1062,1060,1058,1004,889,839,714,625,1580,13,1478,1469,1468,1268,898,848,1075,883,1410,1072,726,1366,1365,1364,1454,224,174,168,162,161,158,157,155,154,153,150,3,921,920,917,899,859,857,846,777,745,744,642,640,1234,1266,1250,1246,1245,1244,1146,1172,1802,1800,1799,1798,1407,1173,1261,959,958,957,758,603,600,588,1481,1107,607,605,1540,1806,1496,1494,1493,1016,1015,1007,983,982,981,980,979,809,808,807,598,597,596,595,582,581,1239,1238,1237,1236,1235,1162,978,908,763,667,790,789,788,717,716,1610,1716,1715,1678,1677,1602,1463,823,1752,1669,1465,1421,1248,1820,1818,1811,1810,1809,1808,1762,1761,1739,1738,1841,1601,1497,1657,1839,1836,1737,1736,1042,1039,934,871,865,863,810,1018,1795,1249,1281,1280,1279,1278,1277,1770,1431,1430,1429,1615,1073,1569,1852,1453,1750,1704,1642,1641,1724,1683,1511,1804,1780,1208,1207,1768,1607,1552,1125,833,832,770,769,635,622,627,1118,1777,1180,1179,1093,1091,1088,1085,1084,1005,890,784,638,637,623,594,593,592,591,590,589,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,1476,1470,1104,885,878,779,724,723,694,693,634,617,616,614,574,1135,1134,1102,1049,1048,880,1020,1019,965,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,1789,1760,1755,1701,1598,1597,1479,1433,1389,1388,1276,1275,1274,1273,1272,1271,1270,1269,1200,1199,1198,1196,1176,1164,1133,1111,1110,1076,930,901,897,893,892,843,842,840,837,818,792,791,783,782,780,751,732,702,701,700,680,679,677,676,666,657,654,653,650,648,647,646,645,643,610,609,608,602,601,586,573,1633,1632,1626,1471,1417,1395,1394,1368,1347,1327,1175,1140,1139,1138,1069,1035,1034,1033,754,752,624,1524,1771,1593,1467,1402,1401,1381,1377,1376,1218,1214,1213,1151,1071,1070,1012,986,985,961,935,891,888,887,882,881,852,851,850,836,824,781,764,727,725,722,721,720,719,712,711,710,695,689,687,686,684,678,671,670,665,663,633,619,580,579,578,577,1853,1794,1793,1712,1685,1665,1664,1600,1594,1557,1551,1519,1518,1517,1387,1386,1385,1382,1367,1361,1360,1358,1356,1331,1260,1233,1232,1231,1230,1228,1227,1193,1078,1077,1023,1021,1003,1002,992,975,973,964,948,947,873,862,774,737,736,703,688,1653,1643,1629,1612,1611,1579,1537,1532,1503,1502,1501,1500,1460,1459,1423,1422,1400,1398,1397,1380,1328,1101,1100,1098,1038,1037,1036,1803,1790,1668,1559,1558,1550,1549,820,1842,1784,1731,1684,1672,1854,1751,1588,1727,1826,1840,233,232,231,230,229,227,225,223,220,218,217,213,208,207,206,202,201,199,198,197,196,195,193,192,190,188,187,186,184,183,182,181,180,179,177,176,172,170,167,165,164,163,160,159,156,152,151,149,1011,1010,916,915,847,799,797,778,1654,1796,669,1191,1190,1353,1352,1259,1258,1257,1255,937,895,771,713,697,696,649,631,1355,1354,1351,1314,1254,1253,1252,1251,1216,1142,1106,1054,1053,1029,988,987,877,1383,1379,1210,1209,1143,1028,938,661,1694,1693,1647,1646,1554,1553,1350,1349,1242,1152,1147,1056,1055,990,989,1499,1409,1408,1362,1324,1112,929,928,927,925,924,923,761,760,660,659,613,612,611,1690,1689,1374,1373,1372,1267,1153,1050,876,875,731,728,1696,1406,1405,1116,942,941,940,939,668,576,1702,1418,1658,1487,1485,1483,1348,1293,1291,1289,1287,1286,1220,1219,1129,1128,1109,1108,1051,1031,1030,998,994,968,966,956,1754,1746,1744,1743,1741,1686,1194,1748,1488,1115,1114,1113,962,954,953,952,951,950,949,860,826,812,786,785,759,738,690,673,672,658,618,585,584,583,1475,1224,1211,1123,1122,1121,1120,1119,903,902,817,787,755,682,674,1599,1561,1697,907,835,825,813,1671,1670,1526,1490,1489,1473,1472,1424,1337,1313,1014,746,735,1757,1577,827,1714,1713,1709,1708,1707,1596,1595,1404,1403,1223,1221,1132,1819,1516,1515,1543,1542,1265,1264,1857,1807,1801,1825,1824,1823,1822,1817,1816,1815,1814,1759,1758,1846,1845,1043,976,806,800,1682,861,1763,1462,1680,1520,945,944,632,1126,699,1505,1504,1282,1428,1426,1124,1117,1769,1432,1206,1204,1778,1725,1699,1585,1766,1571,1452,1735,1576,1575,1574,1573,1570,1567,1530,1529,1528,1527,1451,1450,1449,1448,1447,1446,1445,1444,1442,1441,1440,1438,1437,946,1391,1390,1345,1342,1340,1339,1338,1322,1321,1320,1319,1315,1312,1310,1308,1307,1305,1304,1302,1301,1299,1298,1294,819,773,767,766,756,1719,1584,1583,1582,1581,1539,1538,1325,814,1765,1764,1732,1718,1603,1165,1136,1544,1774,1773,1541,1772,1782,1781,1150,1149,1145,1813,1606,816,1514,815,1623,1622,1621,1620,1619,1618,747,1729,1728,1192])).
% 15.75/15.84 cnf(4095,plain,
% 15.75/15.84 (E(x40951,f12(a60,f4(a60),x40951))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4097,plain,
% 15.75/15.84 (~P7(a60,f12(a60,x40971,f7(a60)),x40971)),
% 15.75/15.84 inference(rename_variables,[],[509])).
% 15.75/15.84 cnf(4100,plain,
% 15.75/15.84 (~P7(a60,f12(a60,x41001,f7(a60)),x41001)),
% 15.75/15.84 inference(rename_variables,[],[509])).
% 15.75/15.84 cnf(4109,plain,
% 15.75/15.84 (E(x41091,f12(a60,f4(a60),x41091))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4111,plain,
% 15.75/15.84 (E(x41111,f12(a60,f4(a60),x41111))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4113,plain,
% 15.75/15.84 (E(x41131,f12(a60,f4(a60),x41131))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4115,plain,
% 15.75/15.84 (E(x41151,f12(a60,f4(a60),x41151))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4117,plain,
% 15.75/15.84 (E(x41171,f12(a60,f4(a60),x41171))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4119,plain,
% 15.75/15.84 (E(x41191,f12(a60,f4(a60),x41191))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4121,plain,
% 15.75/15.84 (E(x41211,f12(a60,f4(a60),x41211))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4123,plain,
% 15.75/15.84 (E(x41231,f12(a60,f4(a60),x41231))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4125,plain,
% 15.75/15.84 (E(x41251,f12(a60,f4(a60),x41251))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4127,plain,
% 15.75/15.84 (E(x41271,f12(a60,f4(a60),x41271))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4129,plain,
% 15.75/15.84 (E(x41291,f12(a60,f4(a60),x41291))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4131,plain,
% 15.75/15.84 (E(x41311,f12(a60,f4(a60),x41311))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4133,plain,
% 15.75/15.84 (E(x41331,f12(a60,f4(a60),x41331))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4135,plain,
% 15.75/15.84 (E(x41351,f12(a60,f4(a60),x41351))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4137,plain,
% 15.75/15.84 (E(x41371,f12(a60,f4(a60),x41371))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4139,plain,
% 15.75/15.84 (E(x41391,f12(a60,f4(a60),x41391))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4141,plain,
% 15.75/15.84 (E(x41411,f12(a60,f4(a60),x41411))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4143,plain,
% 15.75/15.84 (E(x41431,f12(a60,f4(a60),x41431))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4145,plain,
% 15.75/15.84 (E(x41451,f12(a60,f4(a60),x41451))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4147,plain,
% 15.75/15.84 (E(x41471,f12(a60,f4(a60),x41471))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4149,plain,
% 15.75/15.84 (E(x41491,f12(a60,f4(a60),x41491))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4151,plain,
% 15.75/15.84 (E(x41511,f12(a60,f4(a60),x41511))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4153,plain,
% 15.75/15.84 (E(x41531,f12(a60,f4(a60),x41531))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4155,plain,
% 15.75/15.84 (E(x41551,f12(a60,f4(a60),x41551))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4157,plain,
% 15.75/15.84 (E(x41571,f12(a60,f4(a60),x41571))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4169,plain,
% 15.75/15.84 (~E(f12(a60,f12(a60,f12(a60,f4(a60),f7(a60)),f3(a2,a70)),x41691),f12(a60,f4(a60),f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[3380])).
% 15.75/15.84 cnf(4170,plain,
% 15.75/15.84 (P73(f22(f22(f23(a60),x41701),x41701))),
% 15.75/15.84 inference(rename_variables,[],[415])).
% 15.75/15.84 cnf(4176,plain,
% 15.75/15.84 (~P7(a60,f12(a60,x41761,f12(a60,x41762,f7(a60))),x41762)),
% 15.75/15.84 inference(rename_variables,[],[1878])).
% 15.75/15.84 cnf(4179,plain,
% 15.75/15.84 (P7(a60,x41791,f22(f22(f6(a60),x41791),x41791))),
% 15.75/15.84 inference(rename_variables,[],[423])).
% 15.75/15.84 cnf(4182,plain,
% 15.75/15.84 (P7(a60,f4(a60),x41821)),
% 15.75/15.84 inference(rename_variables,[],[399])).
% 15.75/15.84 cnf(4185,plain,
% 15.75/15.84 (P7(a60,f9(a60,x41851,x41852),x41851)),
% 15.75/15.84 inference(rename_variables,[],[430])).
% 15.75/15.84 cnf(4188,plain,
% 15.75/15.84 (~P8(a60,x41881,x41881)),
% 15.75/15.84 inference(rename_variables,[],[495])).
% 15.75/15.84 cnf(4191,plain,
% 15.75/15.84 (~P8(a60,x41911,x41911)),
% 15.75/15.84 inference(rename_variables,[],[495])).
% 15.75/15.84 cnf(4194,plain,
% 15.75/15.84 (~P8(a61,x41941,x41941)),
% 15.75/15.84 inference(rename_variables,[],[1859])).
% 15.75/15.84 cnf(4201,plain,
% 15.75/15.84 (P8(a60,x42011,f12(a60,x42011,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4204,plain,
% 15.75/15.84 (P8(a60,x42041,f12(a60,x42041,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4211,plain,
% 15.75/15.84 (P7(a61,f4(a61),f22(f22(f6(a61),x42111),x42111))),
% 15.75/15.84 inference(rename_variables,[],[2821])).
% 15.75/15.84 cnf(4214,plain,
% 15.75/15.84 (P7(a60,x42141,x42141)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4215,plain,
% 15.75/15.84 (P7(a60,f4(a60),x42151)),
% 15.75/15.84 inference(rename_variables,[],[399])).
% 15.75/15.84 cnf(4218,plain,
% 15.75/15.84 (P7(a60,f4(a60),x42181)),
% 15.75/15.84 inference(rename_variables,[],[399])).
% 15.75/15.84 cnf(4219,plain,
% 15.75/15.84 (P7(a60,x42191,x42191)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4226,plain,
% 15.75/15.84 (P7(a61,x42261,x42261)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4229,plain,
% 15.75/15.84 (P7(a61,x42291,x42291)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4232,plain,
% 15.75/15.84 (P73(f22(f22(f23(a60),x42321),x42321))),
% 15.75/15.84 inference(rename_variables,[],[415])).
% 15.75/15.84 cnf(4233,plain,
% 15.75/15.84 (P73(f22(f22(f23(a60),x42331),f4(a60)))),
% 15.75/15.84 inference(rename_variables,[],[416])).
% 15.75/15.84 cnf(4237,plain,
% 15.75/15.84 (~E(f12(a60,x42371,f7(a60)),x42371)),
% 15.75/15.84 inference(rename_variables,[],[500])).
% 15.75/15.84 cnf(4238,plain,
% 15.75/15.84 (P73(f22(f22(f23(a60),x42381),x42381))),
% 15.75/15.84 inference(rename_variables,[],[415])).
% 15.75/15.84 cnf(4239,plain,
% 15.75/15.84 (P73(f22(f22(f23(a60),f12(a60,f4(a60),f7(a60))),x42391))),
% 15.75/15.84 inference(rename_variables,[],[474])).
% 15.75/15.84 cnf(4244,plain,
% 15.75/15.84 (P7(a60,f22(f22(f6(a60),f3(a2,a70)),f44(f3(a2,a70),x42441,f22(f23(a60),f9(a60,x42441,f3(a2,a70))))),x42441)),
% 15.75/15.84 inference(rename_variables,[],[2214])).
% 15.75/15.84 cnf(4247,plain,
% 15.75/15.84 (~P8(a61,x42471,x42471)),
% 15.75/15.84 inference(rename_variables,[],[1859])).
% 15.75/15.84 cnf(4250,plain,
% 15.75/15.84 (P7(a60,f4(a60),x42501)),
% 15.75/15.84 inference(rename_variables,[],[399])).
% 15.75/15.84 cnf(4251,plain,
% 15.75/15.84 (~P7(a60,f12(a60,x42511,f7(a60)),x42511)),
% 15.75/15.84 inference(rename_variables,[],[509])).
% 15.75/15.84 cnf(4252,plain,
% 15.75/15.84 (P7(a60,x42521,x42521)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4255,plain,
% 15.75/15.84 (P8(a60,x42551,f12(a60,x42551,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4274,plain,
% 15.75/15.84 (~E(f12(a60,x42741,f7(a60)),x42741)),
% 15.75/15.84 inference(rename_variables,[],[500])).
% 15.75/15.84 cnf(4275,plain,
% 15.75/15.84 (P8(a60,x42751,f12(a60,x42751,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4276,plain,
% 15.75/15.84 (E(f12(a60,f22(f22(f6(a60),x42761),x42762),f12(a60,f22(f22(f6(a60),x42763),x42762),x42764)),f12(a60,f22(f22(f6(a60),f12(a60,x42761,x42763)),x42762),x42764))),
% 15.75/15.84 inference(rename_variables,[],[479])).
% 15.75/15.84 cnf(4281,plain,
% 15.75/15.84 (~E(f12(a60,x42811,f7(a60)),x42811)),
% 15.75/15.84 inference(rename_variables,[],[500])).
% 15.75/15.84 cnf(4290,plain,
% 15.75/15.84 (~E(f12(a60,f12(a60,f12(a60,f4(a60),f7(a60)),f3(a2,a70)),x42901),f12(a60,f4(a60),f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[3380])).
% 15.75/15.84 cnf(4295,plain,
% 15.75/15.84 (P8(a60,x42951,f12(a60,x42951,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4306,plain,
% 15.75/15.84 (P8(a60,x43061,f12(a60,x43061,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4311,plain,
% 15.75/15.84 (~E(f12(a61,f12(a61,f7(a61),x43111),x43111),f4(a61))),
% 15.75/15.84 inference(rename_variables,[],[510])).
% 15.75/15.84 cnf(4320,plain,
% 15.75/15.84 (~E(f12(a60,x43201,f3(a2,a70)),x43201)),
% 15.75/15.84 inference(rename_variables,[],[1930])).
% 15.75/15.84 cnf(4324,plain,
% 15.75/15.84 (P8(a61,x43241,f12(a61,x43241,f7(a61)))),
% 15.75/15.84 inference(rename_variables,[],[1883])).
% 15.75/15.84 cnf(4333,plain,
% 15.75/15.84 (E(f8(a60,f12(a60,x43331,x43332),x43332),x43331)),
% 15.75/15.84 inference(rename_variables,[],[431])).
% 15.75/15.84 cnf(4334,plain,
% 15.75/15.84 (P8(a60,x43341,f12(a60,x43341,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4357,plain,
% 15.75/15.84 (~P8(a60,x43571,f4(a60))),
% 15.75/15.84 inference(rename_variables,[],[498])).
% 15.75/15.84 cnf(4378,plain,
% 15.75/15.84 (E(x43781,f12(a60,f4(a60),x43781))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4383,plain,
% 15.75/15.84 (~E(f12(a60,x43831,f7(a60)),x43831)),
% 15.75/15.84 inference(rename_variables,[],[500])).
% 15.75/15.84 cnf(4386,plain,
% 15.75/15.84 (P8(a60,x43861,f12(a60,x43861,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4387,plain,
% 15.75/15.84 (E(f9(a60,x43871,f22(f22(f6(a60),x43872),x43873)),f9(a60,f9(a60,x43871,x43872),x43873))),
% 15.75/15.84 inference(rename_variables,[],[443])).
% 15.75/15.84 cnf(4391,plain,
% 15.75/15.84 (P8(a60,x43911,f12(a60,x43911,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4424,plain,
% 15.75/15.84 (P8(a60,x44241,f12(a60,x44241,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4433,plain,
% 15.75/15.84 (P73(f22(f22(f23(f63(a2)),f22(f22(f28(f63(a2)),f20(a2,f5(a2,x44331),f20(a2,f7(a2),f4(f63(a2))))),f18(a2,x44331,x44332))),x44332))),
% 15.75/15.84 inference(rename_variables,[],[3242])).
% 15.75/15.84 cnf(4467,plain,
% 15.75/15.84 (P8(a60,f4(a60),f12(a60,x44671,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[435])).
% 15.75/15.84 cnf(4495,plain,
% 15.75/15.84 (E(f12(a61,x44951,x44952),f12(a61,x44952,x44951))),
% 15.75/15.84 inference(rename_variables,[],[418])).
% 15.75/15.84 cnf(4498,plain,
% 15.75/15.84 (E(f12(a61,x44981,x44982),f12(a61,x44982,x44981))),
% 15.75/15.84 inference(rename_variables,[],[418])).
% 15.75/15.84 cnf(4513,plain,
% 15.75/15.84 (P73(f22(f22(f23(a60),f7(a60)),x45131))),
% 15.75/15.84 inference(rename_variables,[],[419])).
% 15.75/15.84 cnf(4516,plain,
% 15.75/15.84 (P7(a60,f4(a60),x45161)),
% 15.75/15.84 inference(rename_variables,[],[399])).
% 15.75/15.84 cnf(4517,plain,
% 15.75/15.84 (P7(a60,x45171,x45171)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4524,plain,
% 15.75/15.84 (P8(a60,x45241,f12(a60,f12(a60,x45242,x45241),f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[462])).
% 15.75/15.84 cnf(4529,plain,
% 15.75/15.84 (P7(a61,x45291,x45291)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4535,plain,
% 15.75/15.84 (P73(f22(f22(f23(a60),x45351),x45351))),
% 15.75/15.84 inference(rename_variables,[],[415])).
% 15.75/15.84 cnf(4544,plain,
% 15.75/15.84 (P7(a61,f4(a61),f22(f22(f6(a61),x45441),x45441))),
% 15.75/15.84 inference(rename_variables,[],[2821])).
% 15.75/15.84 cnf(4547,plain,
% 15.75/15.84 (P7(a61,f4(a61),f22(f22(f6(a61),x45471),x45471))),
% 15.75/15.84 inference(rename_variables,[],[2821])).
% 15.75/15.84 cnf(4550,plain,
% 15.75/15.84 (P7(a60,x45501,x45501)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4553,plain,
% 15.75/15.84 (P8(a60,x45531,f12(a60,x45531,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4573,plain,
% 15.75/15.84 (~E(f12(a60,f22(f22(f6(a60),f8(a60,x45731,x45731)),x45732),f12(a60,f12(a60,f22(f22(f6(a60),x45731),x45732),x45733),f7(a60))),x45733)),
% 15.75/15.84 inference(rename_variables,[],[2239])).
% 15.75/15.84 cnf(4574,plain,
% 15.75/15.84 (~P8(a60,x45741,x45741)),
% 15.75/15.84 inference(rename_variables,[],[495])).
% 15.75/15.84 cnf(4581,plain,
% 15.75/15.84 (~E(f12(a60,x45811,f7(a60)),f4(a60))),
% 15.75/15.84 inference(rename_variables,[],[506])).
% 15.75/15.84 cnf(4589,plain,
% 15.75/15.84 (P8(a61,f8(a61,x45891,f7(a61)),x45891)),
% 15.75/15.84 inference(rename_variables,[],[1889])).
% 15.75/15.84 cnf(4590,plain,
% 15.75/15.84 (P7(a61,x45901,x45901)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4592,plain,
% 15.75/15.84 (E(f12(a61,x45921,x45922),f12(a61,x45922,x45921))),
% 15.75/15.84 inference(rename_variables,[],[418])).
% 15.75/15.84 cnf(4599,plain,
% 15.75/15.84 (P7(a60,x45991,f12(a60,x45992,x45991))),
% 15.75/15.84 inference(rename_variables,[],[427])).
% 15.75/15.84 cnf(4601,plain,
% 15.75/15.84 (P8(a60,x46011,f12(a60,x46011,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4602,plain,
% 15.75/15.84 (P8(a60,x46021,f12(a60,f12(a60,x46022,x46021),f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[462])).
% 15.75/15.84 cnf(4626,plain,
% 15.75/15.84 (~E(f12(a61,f12(a61,f7(a61),x46261),x46261),f4(a61))),
% 15.75/15.84 inference(rename_variables,[],[510])).
% 15.75/15.84 cnf(4631,plain,
% 15.75/15.84 (~E(f12(a60,f12(a60,x46311,x46312),f7(a60)),x46312)),
% 15.75/15.84 inference(rename_variables,[],[1937])).
% 15.75/15.84 cnf(4632,plain,
% 15.75/15.84 (~E(f12(a60,f12(a60,x46321,x46322),f7(a60)),x46321)),
% 15.75/15.84 inference(rename_variables,[],[2022])).
% 15.75/15.84 cnf(4637,plain,
% 15.75/15.84 (~E(f12(a60,f12(a60,x46371,x46372),f7(a60)),x46372)),
% 15.75/15.84 inference(rename_variables,[],[1937])).
% 15.75/15.84 cnf(4638,plain,
% 15.75/15.84 (~E(f12(a60,f12(a60,x46381,x46382),f7(a60)),x46381)),
% 15.75/15.84 inference(rename_variables,[],[2022])).
% 15.75/15.84 cnf(4651,plain,
% 15.75/15.84 (P7(a60,x46511,x46511)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4672,plain,
% 15.75/15.84 (~P7(a60,f12(a60,x46721,f7(a60)),x46721)),
% 15.75/15.84 inference(rename_variables,[],[509])).
% 15.75/15.84 cnf(4675,plain,
% 15.75/15.84 (~P8(a60,x46751,x46751)),
% 15.75/15.84 inference(rename_variables,[],[495])).
% 15.75/15.84 cnf(4680,plain,
% 15.75/15.84 (~P8(a60,f12(a60,x46801,x46802),x46802)),
% 15.75/15.84 inference(rename_variables,[],[507])).
% 15.75/15.84 cnf(4687,plain,
% 15.75/15.84 (P8(a60,x46871,f12(a60,x46871,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4694,plain,
% 15.75/15.84 (P8(f63(a61),x46941,f12(f63(a61),x46941,f7(f63(a61))))),
% 15.75/15.84 inference(rename_variables,[],[2819])).
% 15.75/15.84 cnf(4695,plain,
% 15.75/15.84 (P8(f63(a61),f5(f63(a61),f12(f63(a61),f5(f63(a61),x46951),f7(f63(a61)))),x46951)),
% 15.75/15.84 inference(rename_variables,[],[3562])).
% 15.75/15.84 cnf(4699,plain,
% 15.75/15.84 (P8(f63(a61),f5(f63(a61),f12(f63(a61),f5(f63(a61),x46991),f7(f63(a61)))),x46991)),
% 15.75/15.84 inference(rename_variables,[],[3562])).
% 15.75/15.84 cnf(4702,plain,
% 15.75/15.84 (E(f12(a60,x47021,f4(a60)),x47021)),
% 15.75/15.84 inference(rename_variables,[],[401])).
% 15.75/15.84 cnf(4705,plain,
% 15.75/15.84 (P7(a61,x47051,x47051)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4708,plain,
% 15.75/15.84 (P7(a61,x47081,x47081)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4709,plain,
% 15.75/15.84 (~E(x47091,f9(a60,f22(f22(f6(a60),f12(a60,f4(a60),f7(a60))),f12(a60,x47091,f7(a60))),f12(a60,f4(a60),f7(a60))))),
% 15.75/15.84 inference(rename_variables,[],[2098])).
% 15.75/15.84 cnf(4713,plain,
% 15.75/15.84 (P8(a60,x47131,f12(a60,x47131,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4714,plain,
% 15.75/15.84 (P8(a60,x47141,f12(a60,x47141,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4727,plain,
% 15.75/15.84 (P7(a61,x47271,x47271)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4740,plain,
% 15.75/15.84 (P8(a60,x47401,f12(a60,x47401,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4741,plain,
% 15.75/15.84 (P7(a60,x47411,x47411)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4747,plain,
% 15.75/15.84 (P8(a60,x47471,f12(a60,f12(a60,x47472,x47471),f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[462])).
% 15.75/15.84 cnf(4748,plain,
% 15.75/15.84 (P8(a60,x47481,f12(a60,x47481,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4751,plain,
% 15.75/15.84 (P7(a61,x47511,x47511)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4771,plain,
% 15.75/15.84 (~P8(a60,x47711,f12(a60,f22(f22(f6(a60),f8(a60,x47712,x47712)),x47713),x47711))),
% 15.75/15.84 inference(rename_variables,[],[2226])).
% 15.75/15.84 cnf(4795,plain,
% 15.75/15.84 (P8(a60,x47951,f12(a60,x47951,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4811,plain,
% 15.75/15.84 (~P7(a60,f12(a60,x48111,f7(a60)),x48111)),
% 15.75/15.84 inference(rename_variables,[],[509])).
% 15.75/15.84 cnf(4818,plain,
% 15.75/15.84 (P7(a61,x48181,x48181)),
% 15.75/15.84 inference(rename_variables,[],[393])).
% 15.75/15.84 cnf(4829,plain,
% 15.75/15.84 (E(f8(a60,f12(a60,x48291,x48292),x48292),x48291)),
% 15.75/15.84 inference(rename_variables,[],[431])).
% 15.75/15.84 cnf(4856,plain,
% 15.75/15.84 (P7(a60,x48561,x48561)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4861,plain,
% 15.75/15.84 (E(f8(a60,f8(a60,x48611,x48612),x48613),f8(a60,x48611,f12(a60,x48612,x48613)))),
% 15.75/15.84 inference(rename_variables,[],[446])).
% 15.75/15.84 cnf(4884,plain,
% 15.75/15.84 (E(x48841,f12(a60,f4(a60),x48841))),
% 15.75/15.84 inference(rename_variables,[],[2029])).
% 15.75/15.84 cnf(4907,plain,
% 15.75/15.84 (P8(a60,x49071,f12(a60,x49071,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4913,plain,
% 15.75/15.84 (E(f12(a60,x49131,f4(a60)),x49131)),
% 15.75/15.84 inference(rename_variables,[],[401])).
% 15.75/15.84 cnf(4914,plain,
% 15.75/15.84 (P8(a60,x49141,f12(a60,x49141,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4927,plain,
% 15.75/15.84 (P8(a60,x49271,f12(a60,x49271,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4930,plain,
% 15.75/15.84 (P8(a60,x49301,f12(a60,x49301,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4939,plain,
% 15.75/15.84 (P8(a60,x49391,f12(a60,x49391,f7(a60)))),
% 15.75/15.84 inference(rename_variables,[],[434])).
% 15.75/15.84 cnf(4952,plain,
% 15.75/15.84 (P7(a60,x49521,x49521)),
% 15.75/15.84 inference(rename_variables,[],[392])).
% 15.75/15.84 cnf(4953,plain,
% 15.75/15.84 (P7(a60,f4(a60),x49531)),
% 15.75/15.84 inference(rename_variables,[],[399])).
% 15.75/15.84 cnf(5020,plain,
% 15.75/15.84 ($false),
% 15.75/15.84 inference(scs_inference,[],[241,246,258,279,282,287,296,299,304,306,325,360,1858,489,480,422,405,446,4861,447,450,439,414,443,4387,468,470,471,479,4276,328,344,346,354,392,4214,4219,4252,4517,4550,4651,4741,4856,4952,393,4226,4229,4529,4590,4705,4708,4727,4751,4818,495,4188,4191,4574,4675,253,264,275,276,278,301,322,324,370,371,399,4182,4215,4218,4250,4516,4953,498,4357,387,427,4599,428,430,4185,507,4680,508,426,417,418,4495,4498,4592,434,4201,4204,4255,4275,4295,4306,4334,4386,4391,4424,4553,4601,4687,4714,4795,4914,4927,4930,4939,4713,4740,4748,4907,509,4097,4100,4251,4672,4811,431,4333,4829,432,400,401,4702,4913,402,403,500,4237,4274,4281,4383,388,462,4524,4602,4747,506,4581,415,4170,4232,4238,4535,440,389,419,4513,320,412,319,474,4239,293,378,423,4179,487,493,435,4467,342,243,247,317,359,375,441,510,4311,4626,330,463,244,255,291,300,369,511,343,454,341,260,321,318,368,481,245,416,4233,326,303,294,240,292,308,309,409,259,377,488,316,411,297,242,492,372,407,290,3301,3299,3297,3295,3289,3288,3281,3278,3275,3273,1867,2003,2024,3926,2408,2126,3494,3532,2044,4042,2610,2128,3242,4433,2771,1999,3938,2272,2416,3977,3684,3408,2192,3686,3492,1957,2076,3648,2074,2853,3250,3287,2001,3432,3380,4169,4290,2098,4709,4016,3784,1930,4320,1924,1983,2239,4573,4032,2029,4095,4109,4111,4113,4115,4117,4119,4121,4123,4125,4127,4129,4131,4133,4135,4137,4139,4141,4143,4145,4147,4149,4151,4153,4155,4157,4378,4884,2078,2568,2139,3218,1937,4631,4637,2022,4632,4638,2114,2187,3652,3646,3512,3791,2402,2072,2393,2807,2819,4694,2351,4003,2262,3562,4695,4699,1981,3490,3296,2173,2370,3298,3022,3026,3548,2765,2314,3546,3991,1859,4194,4247,2843,3558,2803,2214,4244,2573,2182,3584,3846,2211,2763,2304,2229,2226,4771,1972,1878,4176,1886,2559,1969,1883,4324,1889,4589,3442,2440,2442,2448,2476,2480,2484,2490,2492,2506,2510,2512,2514,2516,2526,2530,2532,2536,2538,2540,2544,2550,2554,3910,3942,3594,2397,3995,2821,4211,4544,4547,3554,3985,2602,3362,3502,3912,3556,2901,3279,4011,2599,2090,3257,1587,1586,1346,1247,1747,228,226,222,221,219,216,214,212,211,210,209,205,204,203,200,194,191,189,185,178,175,173,171,169,166,1000,1687,1079,1009,1243,1464,1215,1821,1046,1045,1044,1041,1040,971,1006,1130,1563,1427,1523,1522,1341,1661,1548,1666,1456,1455,1616,1614,854,1509,972,1625,1565,849,675,656,652,644,683,662,996,1663,708,1580,751,754,1410,887,1366,1364,1137,921,920,745,1234,669,1191,1352,1246,937,895,771,1351,877,661,1553,1350,1349,1242,1152,1802,1362,1068,929,659,1261,731,728,1116,1702,1418,1129,1107,1030,994,607,605,1743,1540,1194,1806,1748,1496,1113,812,785,759,673,672,658,582,1475,1211,787,1561,813,788,716,1678,1671,1670,1526,1489,1473,823,1577,827,1714,1713,1707,1596,1595,1221,1819,1818,1762,1761,1738,1542,1264,1825,1824,1823,1817,1814,1758,1737,1736,1846,1462,1680,945,632,699,1505,1249,1281,1280,1279,1124,1206,1571,1735,1391,1390,1345,1340,1339,1310,1299,1298,1294,1538,1764,1704,1641,1732,1511,1804,1208,1207,1813,1606,816,815,1618,832,894,1184,1180,1169,889,1789,1272,893,847,744,1654,1210,1056,1112,939,1290,1220,1031,1494,1007,951,826,585,1237,1162,902,1602,1811,1808,976,871,863,1426,1766,1453,1305,1304,756,1774,1552,1619,1263,1273,1075,916,799,1259,927,761,1108,1488,949,1820,1809,1282,1308,1150,1262,1185,1084,1083,917,859,1143,1174,1293,1292,1123,1278,1277,1432,1569,1768,1468,642,1289,1288,1114,953,1815,1322,1320,1469,1253,1252,1251,668,1481,1483,1179,1763,709,1178,1177,885,57,24,10,7,898,1072,1071,726,1365,1192,188,183,180,179,168,164,160,157,156,150,1796,1266,1250,1353,1355,1354,1053,1379,1144,1028,938,1647,1646,1554,1408,928,925,613,612,1689,1267,1153,1696,960,1658,1219,1001,968,966,956,1493,1115,1016,1015,962,860,786,690,618,581,1224,908,674,1599,1697,907,825,790,789,1716,1715,1677,1490,1472,1424,1337,1313,1014,746,1248]),
% 15.75/15.84 ['proof']).
% 15.75/15.85 % SZS output end Proof
% 15.75/15.85 % Total time :14.370000s
%------------------------------------------------------------------------------