TSTP Solution File: SWW213+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW213+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 00:13:09 EDT 2023
% Result : Theorem 21.27s 21.37s
% Output : CNFRefutation 21.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWW213+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.07 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.07/0.26 % Computer : n027.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Sun Aug 27 22:35:06 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.11/0.44 start to proof:theBenchmark
% 21.09/21.30 %-------------------------------------------
% 21.09/21.30 % File :CSE---1.6
% 21.09/21.30 % Problem :theBenchmark
% 21.09/21.30 % Transform :cnf
% 21.09/21.30 % Format :tptp:raw
% 21.09/21.30 % Command :java -jar mcs_scs.jar %d %s
% 21.09/21.30
% 21.09/21.30 % Result :Theorem 20.180000s
% 21.09/21.30 % Output :CNFRefutation 20.180000s
% 21.09/21.30 %-------------------------------------------
% 21.09/21.30 %------------------------------------------------------------------------------
% 21.09/21.30 % File : SWW213+1 : TPTP v8.1.2. Released v5.2.0.
% 21.09/21.30 % Domain : Software Verification
% 21.09/21.30 % Problem : Fundamental Theorem of Algebra 436927, 1000 axioms selected
% 21.09/21.30 % Version : Especial.
% 21.09/21.30 % English :
% 21.09/21.30
% 21.09/21.30 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 21.09/21.30 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 21.09/21.30 % Source : [Bla11]
% 21.09/21.30 % Names : fta_436927.1000.p [Bla11]
% 21.09/21.30
% 21.09/21.30 % Status : Theorem
% 21.09/21.30 % Rating : 0.61 v8.1.0, 0.64 v7.5.0, 0.59 v7.4.0, 0.73 v7.3.0, 0.69 v7.1.0, 0.65 v7.0.0, 0.67 v6.4.0, 0.65 v6.3.0, 0.67 v6.2.0, 0.72 v6.1.0, 0.77 v6.0.0, 0.74 v5.4.0, 0.79 v5.3.0, 0.81 v5.2.0
% 21.09/21.30 % Syntax : Number of formulae : 1264 ( 317 unt; 0 def)
% 21.09/21.30 % Number of atoms : 3111 ( 790 equ)
% 21.09/21.30 % Maximal formula atoms : 13 ( 2 avg)
% 21.09/21.30 % Number of connectives : 2046 ( 199 ~; 64 |; 117 &)
% 21.09/21.30 % ( 239 <=>;1427 =>; 0 <=; 0 <~>)
% 21.09/21.30 % Maximal formula depth : 14 ( 5 avg)
% 21.09/21.30 % Maximal term depth : 9 ( 2 avg)
% 21.09/21.30 % Number of predicates : 77 ( 76 usr; 1 prp; 0-5 aty)
% 21.09/21.30 % Number of functors : 42 ( 42 usr; 8 con; 0-5 aty)
% 21.09/21.30 % Number of variables : 2817 (2802 !; 15 ?)
% 21.09/21.30 % SPC : FOF_THM_RFO_SEQ
% 21.09/21.30
% 21.09/21.30 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 21.09/21.30 % 2011-03-01 11:33:01
% 21.09/21.30 %------------------------------------------------------------------------------
% 21.09/21.30 %----Relevant facts (995)
% 21.09/21.30 fof(fact_ext,axiom,
% 21.09/21.30 ! [V_g_2,V_f_2] :
% 21.09/21.30 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 21.09/21.30 => V_f_2 = V_g_2 ) ).
% 21.09/21.30
% 21.09/21.30 fof(fact_poly__add,axiom,
% 21.09/21.30 ! [V_x,V_q,V_p,T_a] :
% 21.09/21.30 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.30 => 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)) ) ).
% 21.09/21.30
% 21.09/21.30 fof(fact_poly__offset__poly,axiom,
% 21.09/21.30 ! [V_x,V_h,V_p,T_a] :
% 21.09/21.30 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.30 => hAPP(c_Polynomial_Opoly(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),V_x) = hAPP(c_Polynomial_Opoly(T_a,V_p),c_Groups_Oplus__class_Oplus(T_a,V_h,V_x)) ) ).
% 21.09/21.30
% 21.09/21.30 fof(fact_poly__eq__iff,axiom,
% 21.09/21.30 ! [V_q_2,V_pa_2,T_a] :
% 21.09/21.30 ( ( class_Int_Oring__char__0(T_a)
% 21.09/21.30 & class_Rings_Oidom(T_a) )
% 21.09/21.30 => ( c_Polynomial_Opoly(T_a,V_pa_2) = c_Polynomial_Opoly(T_a,V_q_2)
% 21.09/21.30 <=> V_pa_2 = V_q_2 ) ) ).
% 21.09/21.30
% 21.09/21.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 21.09/21.30 ! [V_c,V_a,T_a] :
% 21.09/21.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.30 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ).
% 21.09/21.30
% 21.09/21.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 21.09/21.30 ! [V_d,V_c,V_a,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.31 => 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)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 21.09/21.31 ! [V_d,V_c,V_a,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.31 => 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) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.31 => 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)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oab__semigroup__add(T_a)
% 21.09/21.31 => 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)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.31 => 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) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__left__cancel,axiom,
% 21.09/21.31 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 21.09/21.31 ( class_Groups_Ocancel__semigroup__add(T_a)
% 21.09/21.31 => ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2)
% 21.09/21.31 <=> V_b_2 = V_c_2 ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__right__cancel,axiom,
% 21.09/21.31 ! [V_c_2,V_a_2,V_b_2,T_a] :
% 21.09/21.31 ( class_Groups_Ocancel__semigroup__add(T_a)
% 21.09/21.31 => ( c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2) = c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2)
% 21.09/21.31 <=> V_b_2 = V_c_2 ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 21.09/21.31 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.31 => 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)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_degree__offset__poly,axiom,
% 21.09/21.31 ! [V_h,V_p,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.31 => c_Polynomial_Odegree(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)) = c_Polynomial_Odegree(T_a,V_p) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__right__imp__eq,axiom,
% 21.09/21.31 ! [V_c,V_a,V_b,T_a] :
% 21.09/21.31 ( class_Groups_Ocancel__semigroup__add(T_a)
% 21.09/21.31 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)
% 21.09/21.31 => V_b = V_c ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__imp__eq,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 21.09/21.31 => V_b = V_c ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__left__imp__eq,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Ocancel__semigroup__add(T_a)
% 21.09/21.31 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 21.09/21.31 => V_b = V_c ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_poly__pcompose,axiom,
% 21.09/21.31 ! [V_x,V_q,V_p,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.31 => 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)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__monom,axiom,
% 21.09/21.31 ! [V_b,V_n,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.31 => 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) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_poly__offset,axiom,
% 21.09/21.31 ! [V_a,V_p] :
% 21.09/21.31 ? [B_q] :
% 21.09/21.31 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,V_p)
% 21.09/21.31 & ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_a,B_x)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_degree__add__le,axiom,
% 21.09/21.31 ! [V_q,V_n,V_p,T_a] :
% 21.09/21.31 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_q),V_n)
% 21.09/21.31 => 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) ) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_degree__add__less,axiom,
% 21.09/21.31 ! [V_q,V_n,V_p,T_a] :
% 21.09/21.31 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_q),V_n)
% 21.09/21.31 => 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) ) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_degree__add__eq__right,axiom,
% 21.09/21.31 ! [V_q,V_p,T_a] :
% 21.09/21.31 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),c_Polynomial_Odegree(T_a,V_q))
% 21.09/21.31 => 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) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_degree__add__eq__left,axiom,
% 21.09/21.31 ! [V_p,V_q,T_a] :
% 21.09/21.31 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_q),c_Polynomial_Odegree(T_a,V_p))
% 21.09/21.31 => 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) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_pos__poly__add,axiom,
% 21.09/21.31 ! [V_q,V_p,T_a] :
% 21.09/21.31 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.31 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 21.09/21.31 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 21.09/21.31 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_smult__add__left,axiom,
% 21.09/21.31 ! [V_p,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.31 => c_Polynomial_Osmult(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_p) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_coeff__add,axiom,
% 21.09/21.31 ! [V_n,V_q,V_p,T_a] :
% 21.09/21.31 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.31 => 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)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__pCons,axiom,
% 21.09/21.31 ! [V_q,V_b,V_p,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.31 => 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)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_semigroup_Oassoc,axiom,
% 21.09/21.31 ! [V_c_2,V_b_2,V_a_2,V_f_2,T_a] :
% 21.09/21.31 ( c_Groups_Osemigroup(T_a,V_f_2)
% 21.09/21.31 => hAPP(hAPP(V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_b_2)),V_c_2) = hAPP(hAPP(V_f_2,V_a_2),hAPP(hAPP(V_f_2,V_b_2),V_c_2)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_expand__poly__eq,axiom,
% 21.09/21.31 ! [V_q_2,V_pa_2,T_a] :
% 21.09/21.31 ( class_Groups_Ozero(T_a)
% 21.09/21.31 => ( V_pa_2 = V_q_2
% 21.09/21.31 <=> ! [B_n] : hAPP(c_Polynomial_Ocoeff(T_a,V_pa_2),B_n) = hAPP(c_Polynomial_Ocoeff(T_a,V_q_2),B_n) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_coeff__inject,axiom,
% 21.09/21.31 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.31 ( class_Groups_Ozero(T_a)
% 21.09/21.31 => ( c_Polynomial_Ocoeff(T_a,V_x_2) = c_Polynomial_Ocoeff(T_a,V_y_2)
% 21.09/21.31 <=> V_x_2 = V_y_2 ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_monom__eq__iff,axiom,
% 21.09/21.31 ! [V_b_2,V_n_2,V_a_2,T_a] :
% 21.09/21.31 ( class_Groups_Ozero(T_a)
% 21.09/21.31 => ( c_Polynomial_Omonom(T_a,V_a_2,V_n_2) = c_Polynomial_Omonom(T_a,V_b_2,V_n_2)
% 21.09/21.31 <=> V_a_2 = V_b_2 ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_pCons__eq__iff,axiom,
% 21.09/21.31 ! [V_q_2,V_b_2,V_pa_2,V_a_2,T_a] :
% 21.09/21.31 ( class_Groups_Ozero(T_a)
% 21.09/21.31 => ( c_Polynomial_OpCons(T_a,V_a_2,V_pa_2) = c_Polynomial_OpCons(T_a,V_b_2,V_q_2)
% 21.09/21.31 <=> ( V_a_2 = V_b_2
% 21.09/21.31 & V_pa_2 = V_q_2 ) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__le__less__mono,axiom,
% 21.09/21.31 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 21.09/21.31 => 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)) ) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__less__le__mono,axiom,
% 21.09/21.31 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 21.09/21.31 => 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)) ) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_degree__smult__le,axiom,
% 21.09/21.31 ! [V_p,V_a,T_a] :
% 21.09/21.31 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.31 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),c_Polynomial_Odegree(T_a,V_p)) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_degree__monom__le,axiom,
% 21.09/21.31 ! [V_n,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Ozero(T_a)
% 21.09/21.31 => 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) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__less__cancel__right,axiom,
% 21.09/21.31 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_c_2))
% 21.09/21.31 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__less__cancel__left,axiom,
% 21.09/21.31 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_b_2))
% 21.09/21.31 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__strict__right__mono,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.31 => 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)) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__strict__left__mono,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.31 => 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)) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__strict__mono,axiom,
% 21.09/21.31 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 21.09/21.31 => 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)) ) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__less__imp__less__right,axiom,
% 21.09/21.31 ! [V_b,V_c,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 21.09/21.31 => ( 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))
% 21.09/21.31 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__less__imp__less__left,axiom,
% 21.09/21.31 ! [V_b,V_a,V_c,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 21.09/21.31 => ( 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))
% 21.09/21.31 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__le__cancel__right,axiom,
% 21.09/21.31 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_c_2))
% 21.09/21.31 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__le__cancel__left,axiom,
% 21.09/21.31 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_b_2))
% 21.09/21.31 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__right__mono,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.31 => 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)) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__left__mono,axiom,
% 21.09/21.31 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.31 => 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)) ) ) ).
% 21.09/21.31
% 21.09/21.31 fof(fact_add__mono,axiom,
% 21.09/21.31 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.31 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.31 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 21.09/21.32 => 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)) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_add__le__imp__le__right,axiom,
% 21.09/21.32 ! [V_b,V_c,V_a,T_a] :
% 21.09/21.32 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 21.09/21.32 => ( 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))
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_add__le__imp__le__left,axiom,
% 21.09/21.32 ! [V_b,V_a,V_c,T_a] :
% 21.09/21.32 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 21.09/21.32 => ( 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))
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_offset__poly__pCons,axiom,
% 21.09/21.32 ! [V_h,V_p,V_a,T_a] :
% 21.09/21.32 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.32 => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_smult__add__right,axiom,
% 21.09/21.32 ! [V_q,V_p,V_a,T_a] :
% 21.09/21.32 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.32 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__refl,axiom,
% 21.09/21.32 ! [V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_synthetic__div__unique,axiom,
% 21.09/21.32 ! [V_r,V_q,V_c,V_p,T_a] :
% 21.09/21.32 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.32 => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,V_q)) = c_Polynomial_OpCons(T_a,V_r,V_q)
% 21.09/21.32 => ( V_r = hAPP(c_Polynomial_Opoly(T_a,V_p),V_c)
% 21.09/21.32 & V_q = c_Polynomial_Osynthetic__div(T_a,V_p,V_c) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_synthetic__div__correct,axiom,
% 21.09/21.32 ! [V_c,V_p,T_a] :
% 21.09/21.32 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.32 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,c_Polynomial_Osynthetic__div(T_a,V_p,V_c))) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_less__or__eq__imp__le,axiom,
% 21.09/21.32 ! [V_n,V_m] :
% 21.09/21.32 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.09/21.32 | V_m = V_n )
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_le__neq__implies__less,axiom,
% 21.09/21.32 ! [V_n,V_m] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.09/21.32 => ( V_m != V_n
% 21.09/21.32 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_termination__basic__simps_I5_J,axiom,
% 21.09/21.32 ! [V_y,V_x] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_less__imp__le__nat,axiom,
% 21.09/21.32 ! [V_n,V_m] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_le__eq__less__or__eq,axiom,
% 21.09/21.32 ! [V_n_2,V_m_2] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.32 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.32 | V_m_2 = V_n_2 ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_nat__less__le,axiom,
% 21.09/21.32 ! [V_n_2,V_m_2] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.32 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.32 & V_m_2 != V_n_2 ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I8_J,axiom,
% 21.09/21.32 ! [V_z,V_x,V_y,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__le__less__trans,axiom,
% 21.09/21.32 ! [V_z,V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_le__fun__def,axiom,
% 21.09/21.32 ! [V_g_2,V_f_2,T_a,T_b] :
% 21.09/21.32 ( class_Orderings_Oord(T_b)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 21.09/21.32 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_linorder__linear,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Olinorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.09/21.32 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__eq__iff,axiom,
% 21.09/21.32 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( V_x_2 = V_y_2
% 21.09/21.32 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 21.09/21.32 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__eq__refl,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ( V_x = V_y
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_le__funD,axiom,
% 21.09/21.32 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 21.09/21.32 ( class_Orderings_Oord(T_b)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__antisym__conv,axiom,
% 21.09/21.32 ! [V_x_2,V_y_2,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 21.09/21.32 <=> V_x_2 = V_y_2 ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_ord__eq__le__trans,axiom,
% 21.09/21.32 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.32 ( class_Orderings_Oord(T_a)
% 21.09/21.32 => ( V_a = V_b
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I3_J,axiom,
% 21.09/21.32 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( V_a = V_b
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_ord__le__eq__trans,axiom,
% 21.09/21.32 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.32 ( class_Orderings_Oord(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.32 => ( V_b = V_c
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I4_J,axiom,
% 21.09/21.32 ! [V_c,V_a,V_b,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 21.09/21.32 => ( V_b = V_c
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__antisym,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 21.09/21.32 => V_x = V_y ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__trans,axiom,
% 21.09/21.32 ! [V_z,V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I5_J,axiom,
% 21.09/21.32 ! [V_x,V_y,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.09/21.32 => V_x = V_y ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I6_J,axiom,
% 21.09/21.32 ! [V_z,V_x,V_y,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_le__funE,axiom,
% 21.09/21.32 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 21.09/21.32 ( class_Orderings_Oord(T_b)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_linorder__le__cases,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Olinorder(T_a)
% 21.09/21.32 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.09/21.32 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__less__irrefl,axiom,
% 21.09/21.32 ! [V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_linorder__neq__iff,axiom,
% 21.09/21.32 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.32 ( class_Orderings_Olinorder(T_a)
% 21.09/21.32 => ( V_x_2 != V_y_2
% 21.09/21.32 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.32 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_not__less__iff__gr__or__eq,axiom,
% 21.09/21.32 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.32 ( class_Orderings_Olinorder(T_a)
% 21.09/21.32 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.32 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 21.09/21.32 | V_x_2 = V_y_2 ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_linorder__less__linear,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Olinorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 | V_x = V_y
% 21.09/21.32 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_linorder__antisym__conv3,axiom,
% 21.09/21.32 ! [V_x_2,V_y_2,T_a] :
% 21.09/21.32 ( class_Orderings_Olinorder(T_a)
% 21.09/21.32 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 21.09/21.32 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.32 <=> V_x_2 = V_y_2 ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_linorder__neqE,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Olinorder(T_a)
% 21.09/21.32 => ( V_x != V_y
% 21.09/21.32 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_less__imp__neq,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => V_x != V_y ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__less__not__sym,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__less__imp__not__less,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__less__imp__not__eq,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => V_x != V_y ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__less__imp__not__eq2,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => V_y != V_x ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__less__asym_H,axiom,
% 21.09/21.32 ! [V_b,V_a,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.32 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I9_J,axiom,
% 21.09/21.32 ! [V_a,V_b,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 21.09/21.32 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_ord__eq__less__trans,axiom,
% 21.09/21.32 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.32 ( class_Orderings_Oord(T_a)
% 21.09/21.32 => ( V_a = V_b
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I1_J,axiom,
% 21.09/21.32 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( V_a = V_b
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_ord__less__eq__trans,axiom,
% 21.09/21.32 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.32 ( class_Orderings_Oord(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.32 => ( V_b = V_c
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I2_J,axiom,
% 21.09/21.32 ! [V_c,V_a,V_b,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 21.09/21.32 => ( V_b = V_c
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__less__trans,axiom,
% 21.09/21.32 ! [V_z,V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_xt1_I10_J,axiom,
% 21.09/21.32 ! [V_z,V_x,V_y,T_a] :
% 21.09/21.32 ( class_Orderings_Oorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_order__less__asym,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Opreorder(T_a)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_linorder__cases,axiom,
% 21.09/21.32 ! [V_y,V_x,T_a] :
% 21.09/21.32 ( class_Orderings_Olinorder(T_a)
% 21.09/21.32 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.32 => ( V_x != V_y
% 21.09/21.32 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_less__not__refl,axiom,
% 21.09/21.32 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_nat__neq__iff,axiom,
% 21.09/21.32 ! [V_n_2,V_m_2] :
% 21.09/21.32 ( V_m_2 != V_n_2
% 21.09/21.32 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.32 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_linorder__neqE__nat,axiom,
% 21.09/21.32 ! [V_y,V_x] :
% 21.09/21.32 ( V_x != V_y
% 21.09/21.32 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_less__irrefl__nat,axiom,
% 21.09/21.32 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_less__not__refl2,axiom,
% 21.09/21.32 ! [V_m,V_n] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 21.09/21.32 => V_m != V_n ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_less__not__refl3,axiom,
% 21.09/21.32 ! [V_t,V_s] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)
% 21.09/21.32 => V_s != V_t ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_nat__less__cases,axiom,
% 21.09/21.32 ! [V_P_2,V_n_2,V_m_2] :
% 21.09/21.32 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.32 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 21.09/21.32 => ( ( V_m_2 = V_n_2
% 21.09/21.32 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 21.09/21.32 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 21.09/21.32 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 21.09/21.32 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_add__lessD1,axiom,
% 21.09/21.32 ! [V_k,V_j,V_i] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_less__add__eq__less,axiom,
% 21.09/21.32 ! [V_n,V_m,V_l,V_k] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 21.09/21.32 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_add__less__mono,axiom,
% 21.09/21.32 ! [V_l,V_k,V_j,V_i] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 21.09/21.32 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 21.09/21.32 => 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)) ) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_add__less__mono1,axiom,
% 21.09/21.32 ! [V_k,V_j,V_i] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 21.09/21.32 => 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)) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_termination__basic__simps_I2_J,axiom,
% 21.09/21.32 ! [V_y,V_z,V_x] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_termination__basic__simps_I1_J,axiom,
% 21.09/21.32 ! [V_z,V_y,V_x] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_trans__less__add2,axiom,
% 21.09/21.32 ! [V_m,V_j,V_i] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_trans__less__add1,axiom,
% 21.09/21.32 ! [V_m,V_j,V_i] :
% 21.09/21.32 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 21.09/21.32 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 21.09/21.32
% 21.09/21.32 fof(fact_nat__add__left__cancel__less,axiom,
% 21.09/21.32 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.32 ( 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_n_2))
% 21.09/21.33 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_not__add__less2,axiom,
% 21.09/21.33 ! [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) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_not__add__less1,axiom,
% 21.09/21.33 ! [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) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le__refl,axiom,
% 21.09/21.33 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__le__linear,axiom,
% 21.09/21.33 ! [V_n,V_m] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.09/21.33 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_eq__imp__le,axiom,
% 21.09/21.33 ! [V_n,V_m] :
% 21.09/21.33 ( V_m = V_n
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le__trans,axiom,
% 21.09/21.33 ! [V_k,V_j,V_i] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le__antisym,axiom,
% 21.09/21.33 ! [V_n,V_m] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 21.09/21.33 => V_m = V_n ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__leE,axiom,
% 21.09/21.33 ! [V_n,V_k,V_m] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 21.09/21.33 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.09/21.33 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__leD1,axiom,
% 21.09/21.33 ! [V_n,V_k,V_m] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__leD2,axiom,
% 21.09/21.33 ! [V_n,V_k,V_m] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__le__mono,axiom,
% 21.09/21.33 ! [V_l,V_k,V_j,V_i] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 21.09/21.33 => 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)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__le__mono1,axiom,
% 21.09/21.33 ! [V_k,V_j,V_i] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_termination__basic__simps_I4_J,axiom,
% 21.09/21.33 ! [V_y,V_z,V_x] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_termination__basic__simps_I3_J,axiom,
% 21.09/21.33 ! [V_z,V_y,V_x] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_trans__le__add2,axiom,
% 21.09/21.33 ! [V_m,V_j,V_i] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_trans__le__add1,axiom,
% 21.09/21.33 ! [V_m,V_j,V_i] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__add__left__cancel__le,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.33 ( 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_n_2))
% 21.09/21.33 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le__iff__add,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.33 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le__add1,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le__add2,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_synthetic__div__pCons,axiom,
% 21.09/21.33 ! [V_c,V_p,V_a,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_linorder__not__less,axiom,
% 21.09/21.33 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.33 ( class_Orderings_Olinorder(T_a)
% 21.09/21.33 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.33 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_linorder__not__le,axiom,
% 21.09/21.33 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.33 ( class_Orderings_Olinorder(T_a)
% 21.09/21.33 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 21.09/21.33 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_linorder__le__less__linear,axiom,
% 21.09/21.33 ! [V_y,V_x,T_a] :
% 21.09/21.33 ( class_Orderings_Olinorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.09/21.33 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_order__less__le,axiom,
% 21.09/21.33 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.33 ( class_Orderings_Oorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 21.09/21.33 & V_x_2 != V_y_2 ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_less__le__not__le,axiom,
% 21.09/21.33 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.33 ( class_Orderings_Opreorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 21.09/21.33 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_order__le__less,axiom,
% 21.09/21.33 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.33 ( class_Orderings_Oorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.33 | V_x_2 = V_y_2 ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_leI,axiom,
% 21.09/21.33 ! [V_y,V_x,T_a] :
% 21.09/21.33 ( class_Orderings_Olinorder(T_a)
% 21.09/21.33 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_not__leE,axiom,
% 21.09/21.33 ! [V_x,V_y,T_a] :
% 21.09/21.33 ( class_Orderings_Olinorder(T_a)
% 21.09/21.33 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 21.09/21.33 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_linorder__antisym__conv1,axiom,
% 21.09/21.33 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.33 ( class_Orderings_Olinorder(T_a)
% 21.09/21.33 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 21.09/21.33 <=> V_x_2 = V_y_2 ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_order__neq__le__trans,axiom,
% 21.09/21.33 ! [V_b,V_a,T_a] :
% 21.09/21.33 ( class_Orderings_Oorder(T_a)
% 21.09/21.33 => ( V_a != V_b
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.33 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_xt1_I12_J,axiom,
% 21.09/21.33 ! [V_b,V_a,T_a] :
% 21.09/21.33 ( class_Orderings_Oorder(T_a)
% 21.09/21.33 => ( V_a != V_b
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 21.09/21.33 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_leD,axiom,
% 21.09/21.33 ! [V_x,V_y,T_a] :
% 21.09/21.33 ( class_Orderings_Olinorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 21.09/21.33 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_order__less__imp__le,axiom,
% 21.09/21.33 ! [V_y,V_x,T_a] :
% 21.09/21.33 ( class_Orderings_Opreorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_linorder__antisym__conv2,axiom,
% 21.09/21.33 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.33 ( class_Orderings_Olinorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 21.09/21.33 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 21.09/21.33 <=> V_x_2 = V_y_2 ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_order__le__imp__less__or__eq,axiom,
% 21.09/21.33 ! [V_y,V_x,T_a] :
% 21.09/21.33 ( class_Orderings_Oorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.33 | V_x = V_y ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_order__le__neq__trans,axiom,
% 21.09/21.33 ! [V_b,V_a,T_a] :
% 21.09/21.33 ( class_Orderings_Oorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.33 => ( V_a != V_b
% 21.09/21.33 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_xt1_I11_J,axiom,
% 21.09/21.33 ! [V_a,V_b,T_a] :
% 21.09/21.33 ( class_Orderings_Oorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 21.09/21.33 => ( V_a != V_b
% 21.09/21.33 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_order__less__le__trans,axiom,
% 21.09/21.33 ! [V_z,V_y,V_x,T_a] :
% 21.09/21.33 ( class_Orderings_Opreorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 21.09/21.33 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_xt1_I7_J,axiom,
% 21.09/21.33 ! [V_z,V_x,V_y,T_a] :
% 21.09/21.33 ( class_Orderings_Oorder(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 21.09/21.33 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_assms,axiom,
% 21.09/21.33 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_pos__poly__def,axiom,
% 21.09/21.33 ! [V_pa_2,T_a] :
% 21.09/21.33 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.33 => ( c_Polynomial_Opos__poly(T_a,V_pa_2)
% 21.09/21.33 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Polynomial_Ocoeff(T_a,V_pa_2),c_Polynomial_Odegree(T_a,V_pa_2))) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_coeff__pCons,axiom,
% 21.09/21.33 ! [V_pa_2,V_a_2,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => c_Polynomial_Ocoeff(T_a,c_Polynomial_OpCons(T_a,V_a_2,V_pa_2)) = c_Nat_Onat_Onat__case(T_a,V_a_2,c_Polynomial_Ocoeff(T_a,V_pa_2)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_degree__pcompose__le,axiom,
% 21.09/21.33 ! [V_q,V_p,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => 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))) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_offset__poly__eq__0__lemma,axiom,
% 21.09/21.33 ! [V_a,V_p,V_c,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_c,V_p),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le__degree,axiom,
% 21.09/21.33 ! [V_n,V_p,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => ( hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n) != c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Polynomial_Odegree(T_a,V_p)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_coeff__eq__0,axiom,
% 21.09/21.33 ! [V_n,V_p,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 21.09/21.33 => hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le__Suc__ex__iff,axiom,
% 21.09/21.33 ! [V_l_2,V_k_2] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_l_2)
% 21.09/21.33 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,B_n) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_poly__pCons,axiom,
% 21.09/21.33 ! [V_x,V_p,V_a,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => 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))) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_degree__pCons__le,axiom,
% 21.09/21.33 ! [V_p,V_a,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => 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))) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_less__zeroE,axiom,
% 21.09/21.33 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_le0,axiom,
% 21.09/21.33 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_zero__less__Suc,axiom,
% 21.09/21.33 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Suc__mono,axiom,
% 21.09/21.33 ! [V_n,V_m] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.09/21.33 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_lessI,axiom,
% 21.09/21.33 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_one__less__mult,axiom,
% 21.09/21.33 ! [V_m,V_n] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 21.09/21.33 => 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)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_n__less__n__mult__m,axiom,
% 21.09/21.33 ! [V_m,V_n] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 21.09/21.33 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_n__less__m__mult__n,axiom,
% 21.09/21.33 ! [V_m,V_n] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)
% 21.09/21.33 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_one__le__mult__iff,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( 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_n_2))
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)
% 21.09/21.33 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_less__fun__def,axiom,
% 21.09/21.33 ! [V_g_2,V_f_2,T_a,T_b] :
% 21.09/21.33 ( class_Orderings_Oord(T_b)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 21.09/21.33 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Zero__not__Suc,axiom,
% 21.09/21.33 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat_Osimps_I2_J,axiom,
% 21.09/21.33 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_nat_H) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_n__not__Suc__n,axiom,
% 21.09/21.33 ! [V_n] : V_n != c_Nat_OSuc(V_n) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Suc__not__Zero,axiom,
% 21.09/21.33 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat_Osimps_I3_J,axiom,
% 21.09/21.33 ! [V_nat_H_1] : c_Nat_OSuc(V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Suc__n__not__n,axiom,
% 21.09/21.33 ! [V_n] : c_Nat_OSuc(V_n) != V_n ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__0,axiom,
% 21.09/21.33 ! [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) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__0__right,axiom,
% 21.09/21.33 ! [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) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__mult__commute,axiom,
% 21.09/21.33 ! [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) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat_Oinject,axiom,
% 21.09/21.33 ! [V_nat_H_2,V_nat_2] :
% 21.09/21.33 ( c_Nat_OSuc(V_nat_2) = c_Nat_OSuc(V_nat_H_2)
% 21.09/21.33 <=> V_nat_2 = V_nat_H_2 ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__is__0,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.33 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.33 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__mult__assoc,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__eq__1__iff,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 21.09/21.33 <=> ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 21.09/21.33 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__cancel1,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.33 ( 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_n_2)
% 21.09/21.33 <=> ( V_m_2 = V_n_2
% 21.09/21.33 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__cancel2,axiom,
% 21.09/21.33 ! [V_n_2,V_k_2,V_m_2] :
% 21.09/21.33 ( 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_n_2),V_k_2)
% 21.09/21.33 <=> ( V_m_2 = V_n_2
% 21.09/21.33 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Suc__mult__cancel1,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.33 ( 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_n_2)
% 21.09/21.33 <=> V_m_2 = V_n_2 ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__case__0,axiom,
% 21.09/21.33 ! [V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__case__Suc,axiom,
% 21.09/21.33 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2),c_Nat_OSuc(V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Zero__neq__Suc,axiom,
% 21.09/21.33 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Suc__neq__Zero,axiom,
% 21.09/21.33 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Suc__inject,axiom,
% 21.09/21.33 ! [V_y,V_x] :
% 21.09/21.33 ( c_Nat_OSuc(V_x) = c_Nat_OSuc(V_y)
% 21.09/21.33 => V_x = V_y ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__eq__self__zero,axiom,
% 21.09/21.33 ! [V_n,V_m] :
% 21.09/21.33 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m
% 21.09/21.33 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__add__right__cancel,axiom,
% 21.09/21.33 ! [V_n_2,V_k_2,V_m_2] :
% 21.09/21.33 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_k_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_k_2)
% 21.09/21.33 <=> V_m_2 = V_n_2 ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__add__left__cancel,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.33 ( 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_n_2)
% 21.09/21.33 <=> V_m_2 = V_n_2 ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__is__1,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 21.09/21.33 <=> ( ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 21.09/21.33 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 21.09/21.33 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.33 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__mult__distrib,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__add__assoc,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__is__0,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.33 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.33 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__Suc,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__Suc__shift,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__Suc,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_one__is__add,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.33 <=> ( ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 21.09/21.33 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 21.09/21.33 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.33 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__mult__distrib2,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__add__left__commute,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__Suc__right,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__Suc__right,axiom,
% 21.09/21.33 ! [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)) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__add__commute,axiom,
% 21.09/21.33 ! [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) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Nat_Oadd__0__right,axiom,
% 21.09/21.33 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 21.09/21.33
% 21.09/21.33 fof(fact_plus__nat_Oadd__0,axiom,
% 21.09/21.33 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 21.09/21.33 ! [V_a,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__poly__0__left,axiom,
% 21.09/21.33 ! [V_q,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_zero__reorient,axiom,
% 21.09/21.33 ! [V_x_2,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 21.09/21.33 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 21.09/21.33 ! [V_a,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__poly__0__right,axiom,
% 21.09/21.33 ! [V_p,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 21.09/21.33 ! [V_b,V_a,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 21.09/21.33 ! [V_ry,V_rx,V_lx,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 21.09/21.33 ! [V_ry,V_rx,V_lx,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 21.09/21.33 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.33 ( class_Groups_Oab__semigroup__mult(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 21.09/21.33 ! [V_rx,V_ly,V_lx,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 21.09/21.33 ! [V_rx,V_ly,V_lx,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 21.09/21.33 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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))) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 21.09/21.33 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 21.09/21.33 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Suc__mult__less__cancel1,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.33 ( 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_n_2))
% 21.09/21.33 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_add__scale__eq__noteq,axiom,
% 21.09/21.33 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 21.09/21.33 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 21.09/21.33 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.33 => ( ( V_a = V_b
% 21.09/21.33 & V_c != V_d )
% 21.09/21.33 => 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)) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_Suc__mult__le__cancel1,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.33 ( 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_n_2))
% 21.09/21.33 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_gr0__conv__Suc,axiom,
% 21.09/21.33 ! [V_n_2] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.33 <=> ? [B_m] : V_n_2 = c_Nat_OSuc(B_m) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_less__Suc0,axiom,
% 21.09/21.33 ! [V_n_2] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 21.09/21.33 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_less__Suc__eq__0__disj,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 21.09/21.33 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.33 | ? [B_j] :
% 21.09/21.33 ( V_m_2 = c_Nat_OSuc(B_j)
% 21.09/21.33 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_n_2) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_nat__0__less__mult__iff,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2] :
% 21.09/21.33 ( 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_n_2))
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 21.09/21.33 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__less__cancel1,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.33 ( 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_n_2))
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 21.09/21.33 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__less__cancel2,axiom,
% 21.09/21.33 ! [V_n_2,V_k_2,V_m_2] :
% 21.09/21.33 ( 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_n_2),V_k_2))
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 21.09/21.33 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__less__mono1,axiom,
% 21.09/21.33 ! [V_k,V_j,V_i] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 21.09/21.33 => 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)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__less__mono2,axiom,
% 21.09/21.33 ! [V_k,V_j,V_i] :
% 21.09/21.33 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 21.09/21.33 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 21.09/21.33 => 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)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_degree__mult__eq,axiom,
% 21.09/21.33 ! [V_q,V_p,T_a] :
% 21.09/21.33 ( class_Rings_Oidom(T_a)
% 21.09/21.33 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 => ( V_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 => 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)) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_poly__mult,axiom,
% 21.09/21.33 ! [V_x,V_q,V_p,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_pCons__0__0,axiom,
% 21.09/21.33 ! [T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_pCons__eq__0__iff,axiom,
% 21.09/21.33 ! [V_pa_2,V_a_2,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => ( c_Polynomial_OpCons(T_a,V_a_2,V_pa_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.33 & V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_degree__0,axiom,
% 21.09/21.33 ! [T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => c_Polynomial_Odegree(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_coeff__0,axiom,
% 21.09/21.33 ! [V_n,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => 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) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_smult__0__left,axiom,
% 21.09/21.33 ! [V_p,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_smult__eq__0__iff,axiom,
% 21.09/21.33 ! [V_pa_2,V_a_2,T_a] :
% 21.09/21.33 ( class_Rings_Oidom(T_a)
% 21.09/21.33 => ( c_Polynomial_Osmult(T_a,V_a_2,V_pa_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.33 | V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__monom,axiom,
% 21.09/21.33 ! [V_n,V_b,V_m,V_a,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => 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)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_poly__0,axiom,
% 21.09/21.33 ! [V_x,T_a] :
% 21.09/21.33 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.33 => 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) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_monom__eq__0,axiom,
% 21.09/21.33 ! [V_n,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_monom__eq__0__iff,axiom,
% 21.09/21.33 ! [V_n_2,V_a_2,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => ( c_Polynomial_Omonom(T_a,V_a_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_degree__pCons__eq__if,axiom,
% 21.09/21.33 ! [V_a,V_p,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => ( ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 => c_Polynomial_Odegree(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 21.09/21.33 & ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 => c_Polynomial_Odegree(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Nat_OSuc(c_Polynomial_Odegree(T_a,V_p)) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_psize__def,axiom,
% 21.09/21.33 ! [V_p,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => ( ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 => c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 21.09/21.33 & ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.33 => c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_p) = c_Nat_OSuc(c_Polynomial_Odegree(T_a,V_p)) ) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_psize__eq__0__iff,axiom,
% 21.09/21.33 ! [V_pa_2,T_a] :
% 21.09/21.33 ( class_Groups_Ozero(T_a)
% 21.09/21.33 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pa_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.33 <=> V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__le__cancel2,axiom,
% 21.09/21.33 ! [V_n_2,V_k_2,V_m_2] :
% 21.09/21.33 ( 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_n_2),V_k_2))
% 21.09/21.33 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 21.09/21.33 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 21.09/21.33
% 21.09/21.33 fof(fact_mult__le__cancel1,axiom,
% 21.09/21.33 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.33 ( 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_n_2))
% 21.09/21.34 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_coeff__mult__degree__sum,axiom,
% 21.09/21.34 ! [V_q,V_p,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => 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))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_degree__pCons__eq,axiom,
% 21.09/21.34 ! [V_a,V_p,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 => c_Polynomial_Odegree(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Nat_OSuc(c_Polynomial_Odegree(T_a,V_p)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 21.09/21.34 ! [V_z,V_y,V_x,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_crossproduct__noteq,axiom,
% 21.09/21.34 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 21.09/21.34 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 21.09/21.34 => ( ( V_a_2 != V_b_2
% 21.09/21.34 & V_c_2 != V_d_2 )
% 21.09/21.34 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_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_a_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 21.09/21.34 ! [V_b,V_m,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_crossproduct__eq,axiom,
% 21.09/21.34 ! [V_za_2,V_x_2,V_y_2,V_w_2,T_a] :
% 21.09/21.34 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 21.09/21.34 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_za_2)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_za_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))
% 21.09/21.34 <=> ( V_w_2 = V_x_2
% 21.09/21.34 | V_y_2 = V_za_2 ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_degree__pCons__0,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_leading__coeff__0__iff,axiom,
% 21.09/21.34 ! [V_pa_2,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => ( hAPP(c_Polynomial_Ocoeff(T_a,V_pa_2),c_Polynomial_Odegree(T_a,V_pa_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 <=> V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_leading__coeff__neq__0,axiom,
% 21.09/21.34 ! [V_p,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 => hAPP(c_Polynomial_Ocoeff(T_a,V_p),c_Polynomial_Odegree(T_a,V_p)) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__add__Suc1,axiom,
% 21.09/21.34 ! [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))) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__add__Suc2,axiom,
% 21.09/21.34 ! [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))) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__iff__Suc__add,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.34 <=> ? [B_k] : V_n_2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__less__SucD,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__lessD,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__SucE,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 21.09/21.34 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.09/21.34 => V_m = V_n ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__trans__Suc,axiom,
% 21.09/21.34 ! [V_k,V_j,V_i] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__lessI,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.09/21.34 => ( c_Nat_OSuc(V_m) != V_n
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__SucI,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__antisym,axiom,
% 21.09/21.34 ! [V_m,V_n] :
% 21.09/21.34 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m))
% 21.09/21.34 => V_m = V_n ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_not__less__less__Suc__eq,axiom,
% 21.09/21.34 ! [V_m_2,V_n_2] :
% 21.09/21.34 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2))
% 21.09/21.34 <=> V_n_2 = V_m_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__less__eq,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m_2),c_Nat_OSuc(V_n_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__Suc__eq,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 21.09/21.34 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.34 | V_m_2 = V_n_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_not__less__eq,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_monom__Suc,axiom,
% 21.09/21.34 ! [V_n,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_degree__smult__eq,axiom,
% 21.09/21.34 ! [V_p,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oidom(T_a)
% 21.09/21.34 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 => c_Polynomial_Odegree(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 21.09/21.34 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 => c_Polynomial_Odegree(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)) = c_Polynomial_Odegree(T_a,V_p) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__leD,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_le__SucE,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 21.09/21.34 => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.09/21.34 => V_m = c_Nat_OSuc(V_n) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_le__SucI,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__le__mono,axiom,
% 21.09/21.34 ! [V_m_2,V_n_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),c_Nat_OSuc(V_m_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_le__Suc__eq,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 21.09/21.34 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.34 | V_m_2 = c_Nat_OSuc(V_n_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_not__less__eq__eq,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_m_2) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__n__not__le__n,axiom,
% 21.09/21.34 ! [V_n] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n),V_n) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__le__mono,axiom,
% 21.09/21.34 ! [V_l,V_k,V_j,V_i] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 21.09/21.34 => 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)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__le__mono2,axiom,
% 21.09/21.34 ! [V_k,V_j,V_i] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__le__mono1,axiom,
% 21.09/21.34 ! [V_k,V_j,V_i] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_le__cube,axiom,
% 21.09/21.34 ! [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))) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_le__square,axiom,
% 21.09/21.34 ! [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)) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__0__left,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Groups_Omonoid__add(T_a)
% 21.09/21.34 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.34 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__0,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.34 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_double__zero__sym,axiom,
% 21.09/21.34 ! [V_a_2,T_a] :
% 21.09/21.34 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.09/21.34 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)
% 21.09/21.34 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__0__right,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Groups_Omonoid__add(T_a)
% 21.09/21.34 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.34 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add_Ocomm__neutral,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.34 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__0__iff,axiom,
% 21.09/21.34 ! [V_a_2,V_b_2,T_a] :
% 21.09/21.34 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 21.09/21.34 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2)
% 21.09/21.34 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_monom__0,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => 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))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__gr__0,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( 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_n_2))
% 21.09/21.34 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 21.09/21.34 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_gr0I,axiom,
% 21.09/21.34 ! [V_n] :
% 21.09/21.34 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_gr__implies__not0,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.09/21.34 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__nat__zero__code,axiom,
% 21.09/21.34 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_neq0__conv,axiom,
% 21.09/21.34 ! [V_n_2] :
% 21.09/21.34 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_not__less0,axiom,
% 21.09/21.34 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_le__0__eq,axiom,
% 21.09/21.34 ! [V_n_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 21.09/21.34 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 21.09/21.34 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_smult__smult,axiom,
% 21.09/21.34 ! [V_p,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_Osmult(T_a,V_b,V_p)) = c_Polynomial_Osmult(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_p) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__smult__right,axiom,
% 21.09/21.34 ! [V_q,V_a,V_p,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) = c_Polynomial_Osmult(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__smult__left,axiom,
% 21.09/21.34 ! [V_q,V_p,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Osmult(T_a,V_a,V_p)),V_q) = c_Polynomial_Osmult(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_synthetic__div__eq__0__iff,axiom,
% 21.09/21.34 ! [V_c_2,V_pa_2,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => ( c_Polynomial_Osynthetic__div(T_a,V_pa_2,V_c_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 <=> c_Polynomial_Odegree(T_a,V_pa_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__poly__add__left,axiom,
% 21.09/21.34 ! [V_r,V_q,V_p,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_smult__0__right,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_poly__zero,axiom,
% 21.09/21.34 ! [V_pa_2,T_a] :
% 21.09/21.34 ( ( class_Int_Oring__char__0(T_a)
% 21.09/21.34 & class_Rings_Oidom(T_a) )
% 21.09/21.34 => ( c_Polynomial_Opoly(T_a,V_pa_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 21.09/21.34 <=> V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__poly__code_I2_J,axiom,
% 21.09/21.34 ! [V_p,T_a] :
% 21.09/21.34 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.34 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__poly__code_I1_J,axiom,
% 21.09/21.34 ! [V_q,T_a] :
% 21.09/21.34 ( class_Groups_Ocomm__monoid__add(T_a)
% 21.09/21.34 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pos__poly__mult,axiom,
% 21.09/21.34 ! [V_q,V_p,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.34 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 21.09/21.34 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 21.09/21.34 => c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_not__pos__poly__0,axiom,
% 21.09/21.34 ! [T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.34 => ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_synthetic__div__0,axiom,
% 21.09/21.34 ! [V_c,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_offset__poly__eq__0__iff,axiom,
% 21.09/21.34 ! [V_h_2,V_pa_2,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_pa_2,V_h_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 <=> V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_offset__poly__0,axiom,
% 21.09/21.34 ! [V_h,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__pCons__right,axiom,
% 21.09/21.34 ! [V_q,V_a,V_p,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_OpCons(T_a,V_a,V_q)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__pCons__left,axiom,
% 21.09/21.34 ! [V_q,V_p,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,V_a,V_p)),V_q) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_q),c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pos__poly__pCons,axiom,
% 21.09/21.34 ! [V_pa_2,V_a_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.34 => ( c_Polynomial_Opos__poly(T_a,c_Polynomial_OpCons(T_a,V_a_2,V_pa_2))
% 21.09/21.34 <=> ( c_Polynomial_Opos__poly(T_a,V_pa_2)
% 21.09/21.34 | ( V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pcompose__0,axiom,
% 21.09/21.34 ! [V_q,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pcompose__pCons,axiom,
% 21.09/21.34 ! [V_q,V_p,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => 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))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__le__lessD,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_le__less__Suc__eq,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2))
% 21.09/21.34 <=> V_n_2 = V_m_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__leI,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_le__imp__less__Suc,axiom,
% 21.09/21.34 ! [V_n,V_m] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_Suc__le__eq,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m_2),V_n_2)
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__Suc__eq__le,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__eq__Suc__le,axiom,
% 21.09/21.34 ! [V_m_2,V_n_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_m_2) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__nonpos__nonpos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__increasing2,axiom,
% 21.09/21.34 ! [V_a,V_b,V_c,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__increasing,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__nonneg__eq__0__iff,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2)
% 21.09/21.34 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__nonneg__nonneg,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 21.09/21.34 ! [V_a_2,T_a] :
% 21.09/21.34 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 21.09/21.34 ! [V_a_2,T_a] :
% 21.09/21.34 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__neg__neg,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__pos__pos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 21.09/21.34 ! [V_a_2,T_a] :
% 21.09/21.34 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 21.09/21.34 ! [V_a_2,T_a] :
% 21.09/21.34 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_eq__zero__or__degree__less,axiom,
% 21.09/21.34 ! [V_n,V_p,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n)
% 21.09/21.34 => ( hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_degree__mult__le,axiom,
% 21.09/21.34 ! [V_q,V_p,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => 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))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_coeff__pCons__Suc,axiom,
% 21.09/21.34 ! [V_n,V_p,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_smult__pCons,axiom,
% 21.09/21.34 ! [V_p,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_OpCons(T_a,V_b,V_p)) = c_Polynomial_OpCons(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_coeff__smult,axiom,
% 21.09/21.34 ! [V_n,V_p,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_poly__smult,axiom,
% 21.09/21.34 ! [V_x,V_p,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_smult__monom,axiom,
% 21.09/21.34 ! [V_n,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_n) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_synthetic__div__unique__lemma,axiom,
% 21.09/21.34 ! [V_a,V_p,V_c,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => ( c_Polynomial_Osmult(T_a,V_c,V_p) = c_Polynomial_OpCons(T_a,V_a,V_p)
% 21.09/21.34 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_coeff__pCons__0,axiom,
% 21.09/21.34 ! [V_p,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => 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 ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_degree__monom__eq,axiom,
% 21.09/21.34 ! [V_n,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 => c_Polynomial_Odegree(T_a,c_Polynomial_Omonom(T_a,V_a,V_n)) = V_n ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_coeff__monom,axiom,
% 21.09/21.34 ! [V_a,V_n,V_m,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => ( ( V_m = V_n
% 21.09/21.34 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_Omonom(T_a,V_a,V_m)),V_n) = V_a )
% 21.09/21.34 & ( V_m != V_n
% 21.09/21.34 => hAPP(c_Polynomial_Ocoeff(T_a,c_Polynomial_Omonom(T_a,V_a,V_m)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_offset__poly__single,axiom,
% 21.09/21.34 ! [V_h,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring__0(T_a)
% 21.09/21.34 => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_h) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__pos__nonneg,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__nonneg__pos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__strict__increasing,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__strict__increasing2,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__neg__nonpos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_add__nonpos__neg,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_not__sum__squares__lt__zero,axiom,
% 21.09/21.34 ! [V_y,V_x,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring(T_a)
% 21.09/21.34 => ~ 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_sum__squares__gt__zero__iff,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))
% 21.09/21.34 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_sum__squares__ge__zero,axiom,
% 21.09/21.34 ! [V_y,V_x,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring(T_a)
% 21.09/21.34 => 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))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_sum__squares__le__zero__iff,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)),c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__left__le__imp__le,axiom,
% 21.09/21.34 ! [V_b,V_a,V_c,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( 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))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__right__le__imp__le,axiom,
% 21.09/21.34 ! [V_b,V_c,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( 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))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__less__imp__less__left,axiom,
% 21.09/21.34 ! [V_b,V_a,V_c,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( 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))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__left__less__imp__less,axiom,
% 21.09/21.34 ! [V_b,V_a,V_c,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring(T_a)
% 21.09/21.34 => ( 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))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_linorder__neqE__linordered__idom,axiom,
% 21.09/21.34 ! [V_y,V_x,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.34 => ( V_x != V_y
% 21.09/21.34 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__zero__left,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Rings_Omult__zero(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__zero__right,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Rings_Omult__zero(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__eq__0__iff,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.34 ( class_Rings_Oring__no__zero__divisors(T_a)
% 21.09/21.34 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_no__zero__divisors,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ono__zero__divisors(T_a)
% 21.09/21.34 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_divisors__zero,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ono__zero__divisors(T_a)
% 21.09/21.34 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_combine__common__factor,axiom,
% 21.09/21.34 ! [V_c,V_b,V_e,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Osemiring(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_comm__semiring__class_Odistrib,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Ocomm__semiring(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_zero__le__square,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_zero__le__mult__iff,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))
% 21.09/21.34 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 21.09/21.34 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 21.09/21.34 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__le__0__iff,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 21.09/21.34 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 21.09/21.34 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__nonneg__nonneg,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__cancel__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__nonneg__nonpos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__cancel__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__nonneg__nonpos2,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__cancel__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__nonpos__nonneg,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__cancel__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__nonpos__nonpos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__ring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__right__mono,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__left__mono,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_comm__mult__left__mono,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__comm__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__right__mono__neg,axiom,
% 21.09/21.34 ! [V_c,V_a,V_b,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__ring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__left__mono__neg,axiom,
% 21.09/21.34 ! [V_c,V_a,V_b,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__ring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__mono_H,axiom,
% 21.09/21.34 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__mono,axiom,
% 21.09/21.34 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__semiring(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_split__mult__pos__le,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__ring(T_a)
% 21.09/21.34 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) )
% 21.09/21.34 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 21.09/21.34 => 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)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_split__mult__neg__le,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Oordered__cancel__semiring(T_a)
% 21.09/21.34 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) )
% 21.09/21.34 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) )
% 21.09/21.34 => 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)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_not__square__less__zero,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring(T_a)
% 21.09/21.34 => ~ 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__less__cancel__right__disj,axiom,
% 21.09/21.34 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))
% 21.09/21.34 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 21.09/21.34 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) )
% 21.09/21.34 | ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__less__cancel__left__disj,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 21.09/21.34 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 21.09/21.34 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) )
% 21.09/21.34 | ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__less__cancel__left__pos,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__pos__pos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__pos__neg,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__pos__neg2,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_zero__less__mult__pos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( 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))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_zero__less__mult__pos2,axiom,
% 21.09/21.34 ! [V_a,V_b,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( 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))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__less__cancel__left__neg,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__neg__pos,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__neg__neg,axiom,
% 21.09/21.34 ! [V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__strict__right__mono,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__strict__left__mono,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_comm__mult__strict__left__mono,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__strict__right__mono__neg,axiom,
% 21.09/21.34 ! [V_c,V_a,V_b,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__strict__left__mono__neg,axiom,
% 21.09/21.34 ! [V_c,V_a,V_b,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pos__add__strict,axiom,
% 21.09/21.34 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semidom(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_sum__squares__eq__zero__iff,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__le__cancel__left__pos,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__le__cancel__left__neg,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__ring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_a_2) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__strict__mono,axiom,
% 21.09/21.34 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__strict__mono_H,axiom,
% 21.09/21.34 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__less__le__imp__less,axiom,
% 21.09/21.34 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__le__less__imp__less,axiom,
% 21.09/21.34 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => 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)) ) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__right__less__imp__less,axiom,
% 21.09/21.34 ! [V_b,V_c,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring(T_a)
% 21.09/21.34 => ( 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))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__less__imp__less__right,axiom,
% 21.09/21.34 ! [V_b,V_c,V_a,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__semiring__strict(T_a)
% 21.09/21.34 => ( 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))
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_nat__mult__le__cancel1,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 21.09/21.34 => ( 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_n_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_nat__mult__eq__cancel1,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 21.09/21.34 => ( 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_n_2)
% 21.09/21.34 <=> V_m_2 = V_n_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_nat__mult__less__cancel1,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 21.09/21.34 => ( 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_n_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_nat__lt__two__imp__zero__or__one,axiom,
% 21.09/21.34 ! [V_x] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 21.09/21.34 => ( V_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.34 | V_x = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_even__less__0__iff,axiom,
% 21.09/21.34 ! [V_a_2,T_a] :
% 21.09/21.34 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_double__eq__0__iff,axiom,
% 21.09/21.34 ! [V_a_2,T_a] :
% 21.09/21.34 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.09/21.34 => ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 21.09/21.34 ! [V_n_2,V_m_2,V_k_2] :
% 21.09/21.34 ( 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_n_2)
% 21.09/21.34 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.34 | V_m_2 = V_n_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_left__add__mult__distrib,axiom,
% 21.09/21.34 ! [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) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_order__root,axiom,
% 21.09/21.34 ! [V_a_2,V_pa_2,T_a] :
% 21.09/21.34 ( class_Rings_Oidom(T_a)
% 21.09/21.34 => ( hAPP(c_Polynomial_Opoly(T_a,V_pa_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.34 <=> ( V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 | c_Polynomial_Oorder(T_a,V_a_2,V_pa_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__def,axiom,
% 21.09/21.34 ! [V_r_2,V_q_2,V_y_2,V_x_2,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x_2,V_y_2,V_q_2,V_r_2)
% 21.09/21.34 <=> ( V_x_2 = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q_2),V_y_2),V_r_2)
% 21.09/21.34 & ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 => V_q_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 21.09/21.34 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 => ( V_r_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_r_2),c_Polynomial_Odegree(T_a,V_y_2)) ) ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__less__mono2,axiom,
% 21.09/21.34 ! [V_y,V_x,V_z] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__order,axiom,
% 21.09/21.34 ! [V_y,V_x] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 21.09/21.34 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__unique,axiom,
% 21.09/21.34 ! [V_r2,V_q2,V_r1,V_q1,V_y,V_x,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q1,V_r1)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q2,V_r2)
% 21.09/21.34 => ( V_q1 = V_q2
% 21.09/21.34 & V_r1 = V_r2 ) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__unique__mod,axiom,
% 21.09/21.34 ! [V_r2,V_q2,V_r1,V_q1,V_y,V_x,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q1,V_r1)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q2,V_r2)
% 21.09/21.34 => V_r1 = V_r2 ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__unique__div,axiom,
% 21.09/21.34 ! [V_r2,V_q2,V_r1,V_q1,V_y,V_x,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q1,V_r1)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q2,V_r2)
% 21.09/21.34 => V_q1 = V_q2 ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__commute,axiom,
% 21.09/21.34 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__assoc,axiom,
% 21.09/21.34 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3)) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__add__mult__distrib,axiom,
% 21.09/21.34 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w)) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__by__0,axiom,
% 21.09/21.34 ! [V_x,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__0,axiom,
% 21.09/21.34 ! [V_y,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => 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))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__by__0__iff,axiom,
% 21.09/21.34 ! [V_r_2,V_q_2,V_x_2,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x_2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q_2,V_r_2)
% 21.09/21.34 <=> ( V_q_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 & V_r_2 = V_x_2 ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__0__iff,axiom,
% 21.09/21.34 ! [V_r_2,V_q_2,V_y_2,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y_2,V_q_2,V_r_2)
% 21.09/21.34 <=> ( V_q_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 & V_r_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__smult__left,axiom,
% 21.09/21.34 ! [V_a,V_r,V_q,V_y,V_x,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q,V_r)
% 21.09/21.34 => c_Polynomial_Opdivmod__rel(T_a,c_Polynomial_Osmult(T_a,V_a,V_x),V_y,c_Polynomial_Osmult(T_a,V_a,V_q),c_Polynomial_Osmult(T_a,V_a,V_r)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pdivmod__rel__mult,axiom,
% 21.09/21.34 ! [V_r_H,V_q_H,V_z,V_r,V_q,V_y,V_x,T_a] :
% 21.09/21.34 ( class_Fields_Ofield(T_a)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q,V_r)
% 21.09/21.34 => ( c_Polynomial_Opdivmod__rel(T_a,V_q,V_z,V_q_H,V_r_H)
% 21.09/21.34 => 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)) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__right__cancel,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,V_c_2] :
% 21.09/21.34 ( V_c_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.09/21.34 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_c_2)
% 21.09/21.34 <=> V_a_2 = V_b_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__left__cancel,axiom,
% 21.09/21.34 ! [V_b_2,V_a_2,V_c_2] :
% 21.09/21.34 ( V_c_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.09/21.34 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_b_2)
% 21.09/21.34 <=> V_a_2 = V_b_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__two__squares__add__zero__iff,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2] :
% 21.09/21.34 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.09/21.34 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.09/21.34 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__less__def,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 21.09/21.34 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 21.09/21.34 & V_x_2 != V_y_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__eq__real__def,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 21.09/21.34 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 21.09/21.34 | V_x_2 = V_y_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_order__degree,axiom,
% 21.09/21.34 ! [V_a,V_p,T_a] :
% 21.09/21.34 ( class_Rings_Oidom(T_a)
% 21.09/21.34 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.34 => 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)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__less__iff1,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2,V_za_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_za_2)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_za_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_za_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__le__cancel__iff1,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2,V_za_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_za_2)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_za_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_za_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__mult__le__cancel__iff2,axiom,
% 21.09/21.34 ! [V_y_2,V_x_2,V_za_2] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_za_2)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_za_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_za_2),V_y_2))
% 21.09/21.34 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_not__real__square__gt__zero,axiom,
% 21.09/21.34 ! [V_x_2] :
% 21.09/21.34 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2))
% 21.09/21.34 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__left_Oadd,axiom,
% 21.09/21.34 ! [V_ya,V_y,V_x,T_a] :
% 21.09/21.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult_Oadd__left,axiom,
% 21.09/21.34 ! [V_b,V_a_H,V_a,T_a] :
% 21.09/21.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__right_Oadd,axiom,
% 21.09/21.34 ! [V_y,V_x,V_xa,T_a] :
% 21.09/21.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__add__left__mono,axiom,
% 21.09/21.34 ! [V_z,V_y,V_x] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_x),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_y)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__le__antisym,axiom,
% 21.09/21.34 ! [V_w,V_z] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
% 21.09/21.34 => V_z = V_w ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__le__trans,axiom,
% 21.09/21.34 ! [V_k,V_j,V_i] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__le__linear,axiom,
% 21.09/21.34 ! [V_w,V_z] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 21.09/21.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_real__le__refl,axiom,
% 21.09/21.34 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__right_Ozero,axiom,
% 21.09/21.34 ! [V_x,T_a] :
% 21.09/21.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult_Ozero__right,axiom,
% 21.09/21.34 ! [V_a,T_a] :
% 21.09/21.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult__left_Ozero,axiom,
% 21.09/21.34 ! [V_y,T_a] :
% 21.09/21.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult_Ozero__left,axiom,
% 21.09/21.34 ! [V_b,T_a] :
% 21.09/21.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.34 => 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) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_mult_Oadd__right,axiom,
% 21.09/21.34 ! [V_b_H,V_b,V_a,T_a] :
% 21.09/21.34 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.34 => 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)) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_degree__le,axiom,
% 21.09/21.34 ! [V_p,V_n,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => ( ! [B_i] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,B_i)
% 21.09/21.34 => hAPP(c_Polynomial_Ocoeff(T_a,V_p),B_i) = c_Groups_Ozero__class_Ozero(T_a) )
% 21.09/21.34 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),V_n) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_poly__rec__pCons,axiom,
% 21.09/21.34 ! [V_pa_2,V_a_2,T_a,V_za_2,V_f_2,T_b] :
% 21.09/21.34 ( class_Groups_Ozero(T_b)
% 21.09/21.34 => ( hAPP(hAPP(hAPP(V_f_2,c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_za_2) = V_za_2
% 21.09/21.34 => c_Polynomial_Opoly__rec(T_a,T_b,V_za_2,V_f_2,c_Polynomial_OpCons(T_b,V_a_2,V_pa_2)) = hAPP(hAPP(hAPP(V_f_2,V_a_2),V_pa_2),c_Polynomial_Opoly__rec(T_a,T_b,V_za_2,V_f_2,V_pa_2)) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_pCons__def,axiom,
% 21.09/21.34 ! [V_pa_2,V_a_2,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => c_Polynomial_OpCons(T_a,V_a_2,V_pa_2) = c_Polynomial_OAbs__poly(T_a,c_Nat_Onat_Onat__case(T_a,V_a_2,c_Polynomial_Ocoeff(T_a,V_pa_2))) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_less__degree__imp,axiom,
% 21.09/21.34 ! [V_p,V_n,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Polynomial_Odegree(T_a,V_p))
% 21.09/21.34 => ? [B_i] :
% 21.09/21.34 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,B_i)
% 21.09/21.34 & hAPP(c_Polynomial_Ocoeff(T_a,V_p),B_i) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_coeff__inverse,axiom,
% 21.09/21.34 ! [V_x_2,T_a] :
% 21.09/21.34 ( class_Groups_Ozero(T_a)
% 21.09/21.34 => c_Polynomial_OAbs__poly(T_a,c_Polynomial_Ocoeff(T_a,V_x_2)) = V_x_2 ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_poly__rec__0,axiom,
% 21.09/21.34 ! [T_a,V_za_2,V_f_2,T_b] :
% 21.09/21.34 ( class_Groups_Ozero(T_b)
% 21.09/21.34 => ( hAPP(hAPP(hAPP(V_f_2,c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_za_2) = V_za_2
% 21.09/21.34 => c_Polynomial_Opoly__rec(T_a,T_b,V_za_2,V_f_2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))) = V_za_2 ) ) ).
% 21.09/21.34
% 21.09/21.34 fof(fact_poly__rec_Osimps,axiom,
% 21.09/21.34 ! [V_pa_2,V_a_2,V_f_2,V_za_2,T_a,T_b] :
% 21.09/21.35 ( class_Groups_Ozero(T_b)
% 21.09/21.35 => c_Polynomial_Opoly__rec(T_a,T_b,V_za_2,V_f_2,c_Polynomial_OpCons(T_b,V_a_2,V_pa_2)) = hAPP(hAPP(hAPP(V_f_2,V_a_2),V_pa_2),c_If(T_a,c_fequal(V_pa_2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_za_2,c_Polynomial_Opoly__rec(T_a,T_b,V_za_2,V_f_2,V_pa_2))) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_convex__bound__lt,axiom,
% 21.09/21.35 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 21.09/21.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 21.09/21.35 => 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) ) ) ) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__pos__mult__exp,axiom,
% 21.09/21.35 ! [V_x,V_n,V_m] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => c_NthRoot_Oroot(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_x) = c_NthRoot_Oroot(V_m,c_NthRoot_Oroot(V_n,V_x)) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__mult__lemma,axiom,
% 21.09/21.35 ! [V_y,V_x,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 21.09/21.35 => c_NthRoot_Oroot(V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n,V_x)),c_NthRoot_Oroot(V_n,V_y)) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__pos__pos,axiom,
% 21.09/21.35 ! [V_x_1,V_n_1] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_1)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_1)
% 21.09/21.35 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n_1,V_x_1)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__ge__1__iff,axiom,
% 21.09/21.35 ! [V_y_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n_2,V_y_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_y_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__le__1__iff,axiom,
% 21.09/21.35 ! [V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n_2,V_x_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__decreasing,axiom,
% 21.09/21.35 ! [V_x,V_N,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Oroot(V_N,V_x),c_NthRoot_Oroot(V_n,V_x)) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__gt__1__iff,axiom,
% 21.09/21.35 ! [V_y_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n_2,V_y_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_y_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__lt__1__iff,axiom,
% 21.09/21.35 ! [V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n_2,V_x_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__strict__decreasing,axiom,
% 21.09/21.35 ! [V_x,V_N,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Oroot(V_N,V_x),c_NthRoot_Oroot(V_n,V_x)) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult__1__left,axiom,
% 21.09/21.35 ! [V_a,T_a] :
% 21.09/21.35 ( class_Groups_Omonoid__mult(T_a)
% 21.09/21.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 21.09/21.35 ! [V_a,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult__1,axiom,
% 21.09/21.35 ! [V_a,T_a] :
% 21.09/21.35 ( class_Groups_Ocomm__monoid__mult(T_a)
% 21.09/21.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult__1__right,axiom,
% 21.09/21.35 ! [V_a,T_a] :
% 21.09/21.35 ( class_Groups_Omonoid__mult(T_a)
% 21.09/21.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 21.09/21.35 ! [V_a,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult_Ocomm__neutral,axiom,
% 21.09/21.35 ! [V_a,T_a] :
% 21.09/21.35 ( class_Groups_Ocomm__monoid__mult(T_a)
% 21.09/21.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_nat__mult__1,axiom,
% 21.09/21.35 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 21.09/21.35
% 21.09/21.35 fof(fact_nat__1__eq__mult__iff,axiom,
% 21.09/21.35 ! [V_n_2,V_m_2] :
% 21.09/21.35 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 21.09/21.35 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 21.09/21.35 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_nat__mult__1__right,axiom,
% 21.09/21.35 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 21.09/21.35
% 21.09/21.35 fof(fact_nat__mult__eq__1__iff,axiom,
% 21.09/21.35 ! [V_n_2,V_m_2] :
% 21.09/21.35 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 21.09/21.35 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 21.09/21.35 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__zero__not__eq__one,axiom,
% 21.09/21.35 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__mult__1,axiom,
% 21.09/21.35 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ).
% 21.09/21.35
% 21.09/21.35 fof(fact_zero__neq__one,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Ozero__neq__one(T_a)
% 21.09/21.35 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_one__neq__zero,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Ozero__neq__one(T_a)
% 21.09/21.35 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_one__poly__def,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => 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))) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_one__reorient,axiom,
% 21.09/21.35 ! [V_x_2,T_a] :
% 21.09/21.35 ( class_Groups_Oone(T_a)
% 21.09/21.35 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 21.09/21.35 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__1,axiom,
% 21.09/21.35 ! [V_x,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_smult__1__left,axiom,
% 21.09/21.35 ! [V_p,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => c_Polynomial_Osmult(T_a,c_Groups_Oone__class_Oone(T_a),V_p) = V_p ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__zero,axiom,
% 21.09/21.35 ! [V_n] : c_NthRoot_Oroot(V_n,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__one,axiom,
% 21.09/21.35 ! [V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => c_NthRoot_Oroot(V_n,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__eq__1__iff,axiom,
% 21.09/21.35 ! [V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_NthRoot_Oroot(V_n_2,V_x_2) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 21.09/21.35 <=> V_x_2 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_coeff__1,axiom,
% 21.09/21.35 ! [V_n,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.35 => 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) )
% 21.09/21.35 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.09/21.35 => 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) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__increasing,axiom,
% 21.09/21.35 ! [V_x,V_N,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 21.09/21.35 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n,V_x),c_NthRoot_Oroot(V_N,V_x)) ) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__strict__increasing,axiom,
% 21.09/21.35 ! [V_x,V_N,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 21.09/21.35 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n,V_x),c_NthRoot_Oroot(V_N,V_x)) ) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__Suc__0,axiom,
% 21.09/21.35 ! [V_x] : c_NthRoot_Oroot(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x) = V_x ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__commute,axiom,
% 21.09/21.35 ! [V_x,V_n,V_m] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => c_NthRoot_Oroot(V_m,c_NthRoot_Oroot(V_n,V_x)) = c_NthRoot_Oroot(V_n,c_NthRoot_Oroot(V_m,V_x)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__eq__iff,axiom,
% 21.09/21.35 ! [V_y_2,V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_NthRoot_Oroot(V_n_2,V_x_2) = c_NthRoot_Oroot(V_n_2,V_y_2)
% 21.09/21.35 <=> V_x_2 = V_y_2 ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_zero__le__one,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.09/21.35 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_not__one__le__zero,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.09/21.35 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_zero__less__one,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.09/21.35 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_not__one__less__zero,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.09/21.35 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_less__1__mult,axiom,
% 21.09/21.35 ! [V_n,V_m,T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)
% 21.09/21.35 => 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)) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_less__add__one,axiom,
% 21.09/21.35 ! [V_a,T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.09/21.35 => 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))) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 21.09/21.35 ! [V_m,V_a,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 21.09/21.35 ! [V_a,V_m,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 21.09/21.35 ! [V_m,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_One__nat__def,axiom,
% 21.09/21.35 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_Suc__eq__plus1__left,axiom,
% 21.09/21.35 ! [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) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_Suc__eq__plus1,axiom,
% 21.09/21.35 ! [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)) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult__eq__self__implies__10,axiom,
% 21.09/21.35 ! [V_n,V_m] :
% 21.09/21.35 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 21.09/21.35 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 21.09/21.35 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_degree__1,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => c_Polynomial_Odegree(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__le__mono,axiom,
% 21.09/21.35 ! [V_y,V_x,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 21.09/21.35 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n,V_x),c_NthRoot_Oroot(V_n,V_y)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__le__iff,axiom,
% 21.09/21.35 ! [V_y_2,V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n_2,V_x_2),c_NthRoot_Oroot(V_n_2,V_y_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__eq__0__iff,axiom,
% 21.09/21.35 ! [V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_NthRoot_Oroot(V_n_2,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.09/21.35 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__less__mono,axiom,
% 21.09/21.35 ! [V_y,V_x,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 21.09/21.35 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n,V_x),c_NthRoot_Oroot(V_n,V_y)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__less__iff,axiom,
% 21.09/21.35 ! [V_y_2,V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n_2,V_x_2),c_NthRoot_Oroot(V_n_2,V_y_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__mult,axiom,
% 21.09/21.35 ! [V_y,V_x,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => c_NthRoot_Oroot(V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n,V_x)),c_NthRoot_Oroot(V_n,V_y)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__mult__exp,axiom,
% 21.09/21.35 ! [V_x,V_n,V_m] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => c_NthRoot_Oroot(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_x) = c_NthRoot_Oroot(V_m,c_NthRoot_Oroot(V_n,V_x)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult__left__le__one__le,axiom,
% 21.09/21.35 ! [V_y,V_x,T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 21.09/21.35 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult__right__le__one__le,axiom,
% 21.09/21.35 ! [V_y,V_x,T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__idom(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 21.09/21.35 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_zero__less__two,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.09/21.35 => 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))) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__ge__zero,axiom,
% 21.09/21.35 ! [V_x,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n,V_x)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__le__0__iff,axiom,
% 21.09/21.35 ! [V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n_2,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__ge__0__iff,axiom,
% 21.09/21.35 ! [V_y_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n_2,V_y_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__gt__zero,axiom,
% 21.09/21.35 ! [V_x,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n,V_x)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__lt__0__iff,axiom,
% 21.09/21.35 ! [V_x_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n_2,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__gt__0__iff,axiom,
% 21.09/21.35 ! [V_y_2,V_n_2] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n_2,V_y_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_convex__bound__le,axiom,
% 21.09/21.35 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 21.09/21.35 ( class_Rings_Olinordered__semiring__1(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 21.09/21.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 21.09/21.35 => 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) ) ) ) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__less__mono__lemma,axiom,
% 21.09/21.35 ! [V_y,V_x,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 21.09/21.35 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n,V_x),c_NthRoot_Oroot(V_n,V_y)) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_synthetic__div__correct_H,axiom,
% 21.09/21.35 ! [V_p,V_c,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__ring__1(T_a)
% 21.09/21.35 => 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 ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd__monic,axiom,
% 21.09/21.35 ! [V_y,V_x,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => ( ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.35 & V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 21.09/21.35 => 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) )
% 21.09/21.35 & ( ~ ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.35 & V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 21.09/21.35 => 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) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__pow__pos,axiom,
% 21.09/21.35 ! [V_x,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.09/21.35 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n,V_x)),V_n) = V_x ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_real__root__pos__unique,axiom,
% 21.09/21.35 ! [V_x,V_y,V_n] :
% 21.09/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 21.09/21.35 => ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_y),V_n) = V_x
% 21.09/21.35 => c_NthRoot_Oroot(V_n,V_x) = V_y ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd__1__left,axiom,
% 21.09/21.35 ! [V_y,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd__1__right,axiom,
% 21.09/21.35 ! [V_x,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 21.09/21.35 ! [V_x,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult_Ominus__right,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult__right_Ominus,axiom,
% 21.09/21.35 ! [V_x,V_xa,T_a] :
% 21.09/21.35 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult_Ominus__left,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_mult__left_Ominus,axiom,
% 21.09/21.35 ! [V_y,V_x,T_a] :
% 21.09/21.35 ( class_RealVector_Oreal__normed__algebra(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_le__imp__neg__le,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.09/21.35 => 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)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_neg__le__iff__le,axiom,
% 21.09/21.35 ! [V_a_2,V_b_2,T_a] :
% 21.09/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__le__iff,axiom,
% 21.09/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2)
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_a_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_le__minus__iff,axiom,
% 21.09/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__add__cancel,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => 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 ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_add__minus__cancel,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => 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 ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__add,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__add__distrib,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Groups_Oab__group__add(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__poly__code_I1_J,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Groups_Oab__group__add(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_degree__minus,axiom,
% 21.09/21.35 ! [V_p,T_a] :
% 21.09/21.35 ( class_Groups_Oab__group__add(T_a)
% 21.09/21.35 => c_Polynomial_Odegree(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) = c_Polynomial_Odegree(T_a,V_p) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_smult__minus__right,axiom,
% 21.09/21.35 ! [V_p,V_a,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__ring(T_a)
% 21.09/21.35 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__pCons,axiom,
% 21.09/21.35 ! [V_p,V_a,T_a] :
% 21.09/21.35 ( class_Groups_Oab__group__add(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__poly__code_I2_J,axiom,
% 21.09/21.35 ! [V_p,V_a,T_b] :
% 21.09/21.35 ( class_Groups_Oab__group__add(T_b)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_coeff__minus,axiom,
% 21.09/21.35 ! [V_n,V_p,T_a] :
% 21.09/21.35 ( class_Groups_Oab__group__add(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_smult__minus__left,axiom,
% 21.09/21.35 ! [V_p,V_a,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__ring(T_a)
% 21.09/21.35 => c_Polynomial_Osmult(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_p) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__minus,axiom,
% 21.09/21.35 ! [V_x,V_p,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__ring(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__power,axiom,
% 21.09/21.35 ! [V_x,V_n,V_p,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__monom,axiom,
% 21.09/21.35 ! [V_n,V_a,T_a] :
% 21.09/21.35 ( class_Groups_Oab__group__add(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd_Oassoc,axiom,
% 21.09/21.35 ! [V_c,V_b,V_a,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_neg__equal__iff__equal,axiom,
% 21.09/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 21.09/21.35 <=> V_a_2 = V_b_2 ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__equation__iff,axiom,
% 21.09/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = V_b_2
% 21.09/21.35 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_a_2 ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd__minus__left,axiom,
% 21.09/21.35 ! [V_y,V_x,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd_Oleft__commute,axiom,
% 21.09/21.35 ! [V_c,V_a,V_b,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_equation__minus__iff,axiom,
% 21.09/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 21.09/21.35 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd__minus__right,axiom,
% 21.09/21.35 ! [V_y,V_x,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd_Ocommute,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => c_Polynomial_Opoly__gcd(T_a,V_a,V_b) = c_Polynomial_Opoly__gcd(T_a,V_b,V_a) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__minus,axiom,
% 21.09/21.35 ! [V_a,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_less__minus__iff,axiom,
% 21.09/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__less__iff,axiom,
% 21.09/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2)
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_a_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_neg__less__iff__less,axiom,
% 21.09/21.35 ! [V_a_2,V_b_2,T_a] :
% 21.09/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.09/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 21.09/21.35 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__zero,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_neg__0__equal__iff__equal,axiom,
% 21.09/21.35 ! [V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)
% 21.09/21.35 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_equal__neg__zero,axiom,
% 21.09/21.35 ! [V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.09/21.35 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)
% 21.09/21.35 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_neg__equal__0__iff__equal,axiom,
% 21.09/21.35 ! [V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.09/21.35 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.09/21.35 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_neg__equal__zero,axiom,
% 21.09/21.35 ! [V_a_2,T_a] :
% 21.09/21.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.09/21.35 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = V_a_2
% 21.09/21.35 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_realpow__two__disj,axiom,
% 21.09/21.35 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.35 ( class_Rings_Oidom(T_a)
% 21.09/21.35 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 21.09/21.35 <=> ( V_x_2 = V_y_2
% 21.09/21.35 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_square__eq__iff,axiom,
% 21.09/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.09/21.35 ( class_Rings_Oidom(T_a)
% 21.09/21.35 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2)
% 21.09/21.35 <=> ( V_a_2 = V_b_2
% 21.09/21.35 | V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__mult__minus,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Rings_Oring(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__mult__commute,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Rings_Oring(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__mult__left,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Rings_Oring(T_a)
% 21.09/21.35 => 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) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_minus__mult__right,axiom,
% 21.09/21.35 ! [V_b,V_a,T_a] :
% 21.09/21.35 ( class_Rings_Oring(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 21.09/21.35 ! [V_q,V_y,V_x,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 21.09/21.35 ! [V_q,V_p,V_x,T_a] :
% 21.09/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd__zero__iff,axiom,
% 21.09/21.35 ! [V_y_2,V_x_2,T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => ( c_Polynomial_Opoly__gcd(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.35 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.09/21.35 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_poly__gcd__0__0,axiom,
% 21.09/21.35 ! [T_a] :
% 21.09/21.35 ( class_Fields_Ofield(T_a)
% 21.09/21.35 => 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)) ) ).
% 21.09/21.35
% 21.09/21.35 fof(fact_neg__0__le__iff__le,axiom,
% 21.27/21.35 ! [V_a_2,T_a] :
% 21.27/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_le__minus__self__iff,axiom,
% 21.27/21.35 ! [V_a_2,T_a] :
% 21.27/21.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_neg__le__0__iff__le,axiom,
% 21.27/21.35 ! [V_a_2,T_a] :
% 21.27/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_minus__le__self__iff,axiom,
% 21.27/21.35 ! [V_a_2,T_a] :
% 21.27/21.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_a_2)
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_less__minus__self__iff,axiom,
% 21.27/21.35 ! [V_a_2,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__idom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_neg__less__nonneg,axiom,
% 21.27/21.35 ! [V_a_2,T_a] :
% 21.27/21.35 ( class_Groups_Olinordered__ab__group__add(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_a_2)
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_neg__less__0__iff__less,axiom,
% 21.27/21.35 ! [V_a_2,T_a] :
% 21.27/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_neg__0__less__iff__less,axiom,
% 21.27/21.35 ! [V_a_2,T_a] :
% 21.27/21.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_add__eq__0__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2,T_a] :
% 21.27/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.27/21.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.35 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_right__minus,axiom,
% 21.27/21.35 ! [V_a,T_a] :
% 21.27/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 21.27/21.35 ! [V_b_2,V_a_2,T_a] :
% 21.27/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.27/21.35 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 21.27/21.35 <=> c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_left__minus,axiom,
% 21.27/21.35 ! [V_a,T_a] :
% 21.27/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_ab__left__minus,axiom,
% 21.27/21.35 ! [V_a,T_a] :
% 21.27/21.35 ( class_Groups_Oab__group__add(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_minus__unique,axiom,
% 21.27/21.35 ! [V_b,V_a,T_a] :
% 21.27/21.35 ( class_Groups_Ogroup__add(T_a)
% 21.27/21.35 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.35 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 21.27/21.35 ! [V_x,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__ring__1(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_square__eq__1__iff,axiom,
% 21.27/21.35 ! [V_x_2,T_a] :
% 21.27/21.35 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 21.27/21.35 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 21.27/21.35 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 21.27/21.35 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 21.27/21.35 ! [V_q,V_x,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 21.27/21.35 ! [V_q,V_x,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 21.27/21.35 ! [V_q,V_x,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 21.27/21.35 ! [V_x,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 21.27/21.35 ! [V_q,V_p,V_x,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__minus__mult__self__le,axiom,
% 21.27/21.35 ! [V_x,V_u] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),V_u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_x)) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__add__eq__0__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2] :
% 21.27/21.35 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.27/21.35 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__add__minus__iff,axiom,
% 21.27/21.35 ! [V_a_2,V_x_2] :
% 21.27/21.35 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.27/21.35 <=> V_x_2 = V_a_2 ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_pos__poly__total,axiom,
% 21.27/21.35 ! [V_p,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__idom(T_a)
% 21.27/21.35 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.35 | c_Polynomial_Opos__poly(T_a,V_p)
% 21.27/21.35 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__0__le__add__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__add__le__0__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__add__less__0__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__0__less__add__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__root__minus,axiom,
% 21.27/21.35 ! [V_x,V_n] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.35 => c_NthRoot_Oroot(V_n,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n,V_x)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__root__power,axiom,
% 21.27/21.35 ! [V_k,V_x,V_n] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.35 => c_NthRoot_Oroot(V_n,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_k)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n,V_x)),V_k) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_poly__monom,axiom,
% 21.27/21.35 ! [V_x,V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_realpow__Suc__le__self,axiom,
% 21.27/21.35 ! [V_n,V_r,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_r)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_r,c_Groups_Oone__class_Oone(T_a))
% 21.27/21.35 => 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) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__root__pos,axiom,
% 21.27/21.35 ! [V_n,V_x] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.35 => c_NthRoot_Oroot(c_Nat_OSuc(V_n),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),c_Nat_OSuc(V_n))) = V_x ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__root__pos2,axiom,
% 21.27/21.35 ! [V_x,V_n] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.35 => c_NthRoot_Oroot(V_n,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = V_x ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_real__root__pow__pos2,axiom,
% 21.27/21.35 ! [V_x,V_n] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.35 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_NthRoot_Oroot(V_n,V_x)),V_n) = V_x ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__strict__mono,axiom,
% 21.27/21.35 ! [V_n,V_b,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.35 => 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)) ) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_one__less__power,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.35 => 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)) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__increasing__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_zpower__zadd__distrib,axiom,
% 21.27/21.35 ! [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)) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_nat__zero__less__power__iff,axiom,
% 21.27/21.35 ! [V_n_2,V_x_2] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2))
% 21.27/21.35 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)
% 21.27/21.35 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_nat__power__less__imp__less,axiom,
% 21.27/21.35 ! [V_n,V_m,V_i] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)
% 21.27/21.35 => ( 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))
% 21.27/21.35 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__Suc__0,axiom,
% 21.27/21.35 ! [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)) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 21.27/21.35 ! [V_m_2,V_x_2] :
% 21.27/21.35 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 21.27/21.35 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.35 | V_x_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_zpower__zpower,axiom,
% 21.27/21.35 ! [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)) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_nat__one__le__power,axiom,
% 21.27/21.35 ! [V_n,V_i] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_zero__less__power__nat__eq,axiom,
% 21.27/21.35 ! [V_n_2,V_x_2] :
% 21.27/21.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2))
% 21.27/21.35 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.35 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_degree__power__le,axiom,
% 21.27/21.35 ! [V_n,V_p,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_degree__linear__power,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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 ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_coeff__linear__power,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_field__power__not__zero,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 21.27/21.35 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__commutes,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Groups_Omonoid__mult(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__mult__distrib,axiom,
% 21.27/21.35 ! [V_n,V_b,V_a,T_a] :
% 21.27/21.35 ( class_Groups_Ocomm__monoid__mult(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__one,axiom,
% 21.27/21.35 ! [V_n,T_a] :
% 21.27/21.35 ( class_Groups_Omonoid__mult(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__mult,axiom,
% 21.27/21.35 ! [V_n,V_m,V_a,T_a] :
% 21.27/21.35 ( class_Groups_Omonoid__mult(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__one__right,axiom,
% 21.27/21.35 ! [V_a,T_a] :
% 21.27/21.35 ( class_Groups_Omonoid__mult(T_a)
% 21.27/21.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__mono,axiom,
% 21.27/21.35 ! [V_n,V_b,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => 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)) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_zero__le__power,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => 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)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_zero__less__power,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => 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)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_one__le__power,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => 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)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__eq__0__iff,axiom,
% 21.27/21.35 ! [V_n_2,V_a_2,T_a] :
% 21.27/21.35 ( ( class_Power_Opower(T_a)
% 21.27/21.35 & class_Rings_Omult__zero(T_a)
% 21.27/21.35 & class_Rings_Ono__zero__divisors(T_a)
% 21.27/21.35 & class_Rings_Ozero__neq__one(T_a) )
% 21.27/21.35 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.35 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.35 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__inject__exp,axiom,
% 21.27/21.35 ! [V_n_2,V_m_2,V_a_2,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)
% 21.27/21.35 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)
% 21.27/21.35 <=> V_m_2 = V_n_2 ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__0__Suc,axiom,
% 21.27/21.35 ! [V_n,T_a] :
% 21.27/21.35 ( ( class_Power_Opower(T_a)
% 21.27/21.35 & class_Rings_Osemiring__0(T_a) )
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__Suc2,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Groups_Omonoid__mult(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__Suc,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Power_Opower(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__0,axiom,
% 21.27/21.35 ! [V_a,T_a] :
% 21.27/21.35 ( class_Power_Opower(T_a)
% 21.27/21.35 => 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) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__add,axiom,
% 21.27/21.35 ! [V_n,V_m,V_a,T_a] :
% 21.27/21.35 ( class_Groups_Omonoid__mult(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__less__imp__less__base,axiom,
% 21.27/21.35 ! [V_b,V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( 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))
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.27/21.35 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__inject__base,axiom,
% 21.27/21.35 ! [V_b,V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( 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))
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.27/21.35 => V_a = V_b ) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__le__imp__le__base,axiom,
% 21.27/21.35 ! [V_b,V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( 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)))
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.27/21.35 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__gt1__lemma,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => 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))) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__less__power__Suc,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => 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))) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__0__left,axiom,
% 21.27/21.35 ! [V_n,T_a] :
% 21.27/21.35 ( ( class_Power_Opower(T_a)
% 21.27/21.35 & class_Rings_Osemiring__0(T_a) )
% 21.27/21.35 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.35 => 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) )
% 21.27/21.35 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.35 => 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) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__gt1,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => 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))) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__minus,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Oring__1(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__strict__increasing,axiom,
% 21.27/21.35 ! [V_a,V_N,V_n,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => 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)) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__less__imp__less__exp,axiom,
% 21.27/21.35 ! [V_n,V_m,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => ( 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))
% 21.27/21.35 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__strict__increasing__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))
% 21.27/21.35 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__increasing,axiom,
% 21.27/21.35 ! [V_a,V_N,V_n,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => 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)) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__Suc__less,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 21.27/21.35 => 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)) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__Suc__less__one,axiom,
% 21.27/21.35 ! [V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 21.27/21.35 => 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)) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__strict__decreasing,axiom,
% 21.27/21.35 ! [V_a,V_N,V_n,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 21.27/21.35 => 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)) ) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__eq__imp__eq__base,axiom,
% 21.27/21.35 ! [V_b,V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( 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)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.35 => V_a = V_b ) ) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__decreasing,axiom,
% 21.27/21.35 ! [V_a,V_N,V_n,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 21.27/21.35 => 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)) ) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__le__imp__le__exp,axiom,
% 21.27/21.35 ! [V_n,V_m,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Olinordered__semidom(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 21.27/21.35 => ( 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))
% 21.27/21.35 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__power__power,axiom,
% 21.27/21.35 ! [T_a] :
% 21.27/21.35 ( class_Power_Opower(T_a)
% 21.27/21.35 => 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)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_order__2,axiom,
% 21.27/21.35 ! [V_a,V_p,T_a] :
% 21.27/21.35 ( class_Rings_Oidom(T_a)
% 21.27/21.35 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.35 => ~ 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) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_order,axiom,
% 21.27/21.35 ! [V_a,V_p,T_a] :
% 21.27/21.35 ( class_Rings_Oidom(T_a)
% 21.27/21.35 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.35 => ( 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)
% 21.27/21.35 & ~ 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) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_dvd__0__right,axiom,
% 21.27/21.35 ! [V_a,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_poly__gcd__dvd1,axiom,
% 21.27/21.35 ! [V_y,V_x,T_a] :
% 21.27/21.35 ( class_Fields_Ofield(T_a)
% 21.27/21.35 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Opoly__gcd(T_a,V_x,V_y),V_x) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_poly__gcd__dvd2,axiom,
% 21.27/21.35 ! [V_y,V_x,T_a] :
% 21.27/21.35 ( class_Fields_Ofield(T_a)
% 21.27/21.35 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Opoly__gcd(T_a,V_x,V_y),V_y) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_le__imp__power__dvd,axiom,
% 21.27/21.35 ! [V_a,V_n,V_m,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.27/21.35 => 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)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_dvd__power__le,axiom,
% 21.27/21.35 ! [V_m,V_n,V_y,V_x,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 21.27/21.35 => 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)) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_power__le__dvd,axiom,
% 21.27/21.35 ! [V_m,V_b,V_n,V_a,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),V_b)
% 21.27/21.35 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 21.27/21.35 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),V_b) ) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_dvd__power__same,axiom,
% 21.27/21.35 ! [V_n,V_y,V_x,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.35 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 21.27/21.35 => 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)) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_minus__dvd__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__ring__1(T_a)
% 21.27/21.35 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),V_y_2)
% 21.27/21.35 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_dvd__minus__iff,axiom,
% 21.27/21.35 ! [V_y_2,V_x_2,T_a] :
% 21.27/21.35 ( class_Rings_Ocomm__ring__1(T_a)
% 21.27/21.35 => ( c_Rings_Odvd__class_Odvd(T_a,V_x_2,c_Groups_Ouminus__class_Ouminus(T_a,V_y_2))
% 21.27/21.35 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_zmult__zminus,axiom,
% 21.27/21.35 ! [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)) ).
% 21.27/21.35
% 21.27/21.35 fof(fact_dvd__mult__cancel__left,axiom,
% 21.27/21.35 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 21.27/21.35 ( class_Rings_Oidom(T_a)
% 21.27/21.35 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))
% 21.27/21.35 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.35 | c_Rings_Odvd__class_Odvd(T_a,V_a_2,V_b_2) ) ) ) ).
% 21.27/21.35
% 21.27/21.36 fof(fact_dvd__mult__cancel__right,axiom,
% 21.27/21.36 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 21.27/21.36 ( class_Rings_Oidom(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))
% 21.27/21.36 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 | c_Rings_Odvd__class_Odvd(T_a,V_a_2,V_b_2) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__zmult__distrib2,axiom,
% 21.27/21.36 ! [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)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__zmult__distrib,axiom,
% 21.27/21.36 ! [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)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__add,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__smult,axiom,
% 21.27/21.36 ! [V_a,V_q,V_p,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_smult__dvd__cancel,axiom,
% 21.27/21.36 ! [V_q,V_p,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__trans,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_b,V_c)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__refl,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__0__left,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.36 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mult__right,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_c) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mult__left,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvdI,axiom,
% 21.27/21.36 ! [V_k,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odvd(T_a)
% 21.27/21.36 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mult__dvd__mono,axiom,
% 21.27/21.36 ! [V_d,V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_c,V_d)
% 21.27/21.36 => 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)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mult,axiom,
% 21.27/21.36 ! [V_b,V_c,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mult2,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__triv__right,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__triv__left,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zmult__commute,axiom,
% 21.27/21.36 ! [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) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zmult__assoc,axiom,
% 21.27/21.36 ! [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)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zmult__zless__mono2,axiom,
% 21.27/21.36 ! [V_k,V_j,V_i] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 21.27/21.36 => 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)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__poly__gcd__iff,axiom,
% 21.27/21.36 ! [V_y_2,V_x_2,V_k_2,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_k_2,c_Polynomial_Opoly__gcd(T_a,V_x_2,V_y_2))
% 21.27/21.36 <=> ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_k_2,V_x_2)
% 21.27/21.36 & c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_k_2,V_y_2) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_poly__gcd__greatest,axiom,
% 21.27/21.36 ! [V_y,V_x,V_k,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_k,V_x)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_k,V_y)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_k,c_Polynomial_Opoly__gcd(T_a,V_x,V_y)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_one__dvd,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zmult__1,axiom,
% 21.27/21.36 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zmult__1__right,axiom,
% 21.27/21.36 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 21.27/21.36
% 21.27/21.36 fof(fact_pos__zmult__eq__1__iff,axiom,
% 21.27/21.36 ! [V_n_2,V_m_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)
% 21.27/21.36 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 21.27/21.36 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 21.27/21.36 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__smult__cancel,axiom,
% 21.27/21.36 ! [V_q,V_a,V_p,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q))
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_smult__dvd,axiom,
% 21.27/21.36 ! [V_a,V_q,V_p,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__smult__iff,axiom,
% 21.27/21.36 ! [V_q_2,V_pa_2,V_a_2,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pa_2,c_Polynomial_Osmult(T_a,V_a_2,V_q_2))
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pa_2,V_q_2) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_poly__dvd__antisym,axiom,
% 21.27/21.36 ! [V_q,V_p,T_a] :
% 21.27/21.36 ( class_Rings_Oidom(T_a)
% 21.27/21.36 => ( 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))
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_q,V_p)
% 21.27/21.36 => V_p = V_q ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_smult__dvd__iff,axiom,
% 21.27/21.36 ! [V_q_2,V_pa_2,V_a_2,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a_2,V_pa_2),V_q_2)
% 21.27/21.36 <=> ( ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => V_q_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 21.27/21.36 & ( V_a_2 != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pa_2,V_q_2) ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__imp__degree__le,axiom,
% 21.27/21.36 ! [V_q,V_p,T_a] :
% 21.27/21.36 ( class_Rings_Oidom(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 21.27/21.36 => ( V_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(T_a,V_p),c_Polynomial_Odegree(T_a,V_q)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_power_Opower_Opower__0,axiom,
% 21.27/21.36 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 21.27/21.36
% 21.27/21.36 fof(fact_power_Opower_Opower__Suc,axiom,
% 21.27/21.36 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Nat_OSuc(V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__power,axiom,
% 21.27/21.36 ! [V_x,V_n,T_a] :
% 21.27/21.36 ( class_Rings_Ocomm__semiring__1(T_a)
% 21.27/21.36 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.36 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_x,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__iff__poly__eq__0,axiom,
% 21.27/21.36 ! [V_pa_2,V_c_2,T_a] :
% 21.27/21.36 ( class_Rings_Oidom(T_a)
% 21.27/21.36 => ( 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_pa_2)
% 21.27/21.36 <=> hAPP(c_Polynomial_Opoly(T_a,V_pa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_c_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_poly__eq__0__iff__dvd,axiom,
% 21.27/21.36 ! [V_c_2,V_pa_2,T_a] :
% 21.27/21.36 ( class_Rings_Oidom(T_a)
% 21.27/21.36 => ( hAPP(c_Polynomial_Opoly(T_a,V_pa_2),V_c_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 <=> 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_pa_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_order__1,axiom,
% 21.27/21.36 ! [V_p,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Oidom(T_a)
% 21.27/21.36 => 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) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_unity__coeff__ex,axiom,
% 21.27/21.36 ! [V_l_2,V_P_2,T_a] :
% 21.27/21.36 ( ( class_Rings_Odvd(T_a)
% 21.27/21.36 & class_Rings_Osemiring__0(T_a) )
% 21.27/21.36 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_l_2),B_x)))
% 21.27/21.36 <=> ? [B_x] :
% 21.27/21.36 ( 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)))
% 21.27/21.36 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_poly__gcd__unique,axiom,
% 21.27/21.36 ! [V_y,V_x,V_d,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_d,V_x)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_d,V_y)
% 21.27/21.36 => ( ! [B_k] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),B_k,V_x)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),B_k,V_y)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),B_k,V_d) ) )
% 21.27/21.36 => ( ( ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.36 & V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 21.27/21.36 => hAPP(c_Polynomial_Ocoeff(T_a,V_d),c_Polynomial_Odegree(T_a,V_d)) = c_Groups_Ozero__class_Ozero(T_a) )
% 21.27/21.36 & ( ~ ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.36 & V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 21.27/21.36 => hAPP(c_Polynomial_Ocoeff(T_a,V_d),c_Polynomial_Odegree(T_a,V_d)) = c_Groups_Oone__class_Oone(T_a) ) )
% 21.27/21.36 => c_Polynomial_Opoly__gcd(T_a,V_x,V_y) = V_d ) ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_compl__le__compl__iff,axiom,
% 21.27/21.36 ! [V_y_2,V_x_2,T_a] :
% 21.27/21.36 ( class_Lattices_Oboolean__algebra(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__1__left,axiom,
% 21.27/21.36 ! [V_k] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_uminus__dvd__conv_I2_J,axiom,
% 21.27/21.36 ! [V_t_2,V_d_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,V_t_2)
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_t_2)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_uminus__dvd__conv_I1_J,axiom,
% 21.27/21.36 ! [V_t_2,V_d_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,V_t_2)
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_d_2),V_t_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdvd__reduce,axiom,
% 21.27/21.36 ! [V_m_2,V_n_2,V_k_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_k_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_n_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2)))
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_k_2,V_n_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdvd__period,axiom,
% 21.27/21.36 ! [V_c_2,V_t_2,V_x_2,V_d_2,V_a_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_a_2,V_d_2)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_a_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,V_t_2))
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_a_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_c_2),V_d_2)),V_t_2)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__reduce,axiom,
% 21.27/21.36 ! [V_n_2,V_k_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_k_2))
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k_2,V_n_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdvd__antisym__nonneg,axiom,
% 21.27/21.36 ! [V_n,V_m] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_n)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_m,V_n)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_n,V_m)
% 21.27/21.36 => V_m = V_n ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdvd__imp__le,axiom,
% 21.27/21.36 ! [V_n,V_z] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_z,V_n)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_n)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_n) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdvd__not__zless,axiom,
% 21.27/21.36 ! [V_n,V_m] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_m,V_n)
% 21.27/21.36 => ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_n,V_m) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdvd__mono,axiom,
% 21.27/21.36 ! [V_t_2,V_m_2,V_k_2] :
% 21.27/21.36 ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_m_2,V_t_2)
% 21.27/21.36 <=> 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)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdvd__mult__cancel,axiom,
% 21.27/21.36 ! [V_n,V_m,V_k] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_m,V_n) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nat__dvd__1__iff__1,axiom,
% 21.27/21.36 ! [V_m_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m_2,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 21.27/21.36 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__1__iff__1,axiom,
% 21.27/21.36 ! [V_m_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 21.27/21.36 <=> V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nat__dvd__not__less,axiom,
% 21.27/21.36 ! [V_n,V_m] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 21.27/21.36 => ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_n,V_m) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 21.27/21.36 ! [V_n_2,V_m_2,V_k_2] :
% 21.27/21.36 ( 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_n_2))
% 21.27/21.36 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.36 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_int__0__neq__1,axiom,
% 21.27/21.36 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_int__0__less__1,axiom,
% 21.27/21.36 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zle__add1__eq__le,axiom,
% 21.27/21.36 ! [V_za_2,V_w_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_za_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,V_za_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zless__add1__eq,axiom,
% 21.27/21.36 ! [V_za_2,V_w_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_za_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 21.27/21.36 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_za_2)
% 21.27/21.36 | V_w_2 = V_za_2 ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_add1__zle__eq,axiom,
% 21.27/21.36 ! [V_za_2,V_w_2] :
% 21.27/21.36 ( 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_za_2)
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_za_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_odd__less__0,axiom,
% 21.27/21.36 ! [V_za_2] :
% 21.27/21.36 ( 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_za_2),V_za_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_za_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_le__imp__0__less,axiom,
% 21.27/21.36 ! [V_z] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)
% 21.27/21.36 => 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)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zless__imp__add1__zle,axiom,
% 21.27/21.36 ! [V_z,V_w] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)
% 21.27/21.36 => 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) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_int__one__le__iff__zero__less,axiom,
% 21.27/21.36 ! [V_za_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_za_2)
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_za_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_odd__nonzero,axiom,
% 21.27/21.36 ! [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) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zless__linear,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)
% 21.27/21.36 | V_x = V_y
% 21.27/21.36 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__strict__right__mono,axiom,
% 21.27/21.36 ! [V_k,V_j,V_i] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 21.27/21.36 => 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)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__zless__mono,axiom,
% 21.27/21.36 ! [V_z,V_z_H,V_w,V_w_H] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z)
% 21.27/21.36 => 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)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zless__le,axiom,
% 21.27/21.36 ! [V_w_2,V_za_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_za_2,V_w_2)
% 21.27/21.36 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_za_2,V_w_2)
% 21.27/21.36 & V_za_2 != V_w_2 ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__0,axiom,
% 21.27/21.36 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__0__right,axiom,
% 21.27/21.36 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__assoc,axiom,
% 21.27/21.36 ! [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)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__left__commute,axiom,
% 21.27/21.36 ! [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)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__commute,axiom,
% 21.27/21.36 ! [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) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__left__mono,axiom,
% 21.27/21.36 ! [V_k,V_j,V_i] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 21.27/21.36 => 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)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zminus__zminus,axiom,
% 21.27/21.36 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zminus__0,axiom,
% 21.27/21.36 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zadd__zminus__inverse2,axiom,
% 21.27/21.36 ! [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) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zminus__zadd__distrib,axiom,
% 21.27/21.36 ! [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)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__imp__le,axiom,
% 21.27/21.36 ! [V_n,V_k] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nat__mult__dvd__cancel1,axiom,
% 21.27/21.36 ! [V_n_2,V_m_2,V_k_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)
% 21.27/21.36 => ( 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_n_2))
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m_2,V_n_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mult__cancel,axiom,
% 21.27/21.36 ! [V_n,V_m,V_k] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m,V_n) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mult__left__idem,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 21.27/21.36 => 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) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mult__idem,axiom,
% 21.27/21.36 ! [V_x,T_a] :
% 21.27/21.36 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 21.27/21.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_times_Oidem,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 21.27/21.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_compl__eq__compl__iff,axiom,
% 21.27/21.36 ! [V_y_2,V_x_2,T_a] :
% 21.27/21.36 ( class_Lattices_Oboolean__algebra(T_a)
% 21.27/21.36 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)
% 21.27/21.36 <=> V_x_2 = V_y_2 ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_uminus__apply,axiom,
% 21.27/21.36 ! [V_x_2,V_A_2,T_b,T_a] :
% 21.27/21.36 ( class_Groups_Ouminus(T_a)
% 21.27/21.36 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_double__compl,axiom,
% 21.27/21.36 ! [V_x,T_a] :
% 21.27/21.36 ( class_Lattices_Oboolean__algebra(T_a)
% 21.27/21.36 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mult__cancel2,axiom,
% 21.27/21.36 ! [V_n_2,V_m_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_m_2),V_m_2)
% 21.27/21.36 <=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mult__cancel1,axiom,
% 21.27/21.36 ! [V_n_2,V_m_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2),V_m_2)
% 21.27/21.36 <=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_power__dvd__imp__le,axiom,
% 21.27/21.36 ! [V_n,V_m,V_i] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_i)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_compl__mono,axiom,
% 21.27/21.36 ! [V_y,V_x,T_a] :
% 21.27/21.36 ( class_Lattices_Oboolean__algebra(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 21.27/21.36 => 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)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_self__quotient__aux2,axiom,
% 21.27/21.36 ! [V_q,V_r,V_a] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 21.27/21.36 => ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_self__quotient__aux1,axiom,
% 21.27/21.36 ! [V_q,V_r,V_a] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 21.27/21.36 => ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oorder__refl,axiom,
% 21.27/21.36 ! [V_x] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_x) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__asym,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__trans,axiom,
% 21.27/21.36 ! [V_z,V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_y) )
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__asym_H,axiom,
% 21.27/21.36 ! [V_b,V_a] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) )
% 21.27/21.36 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__le__trans,axiom,
% 21.27/21.36 ! [V_z,V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) )
% 21.27/21.36 => ( V_b = V_c
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => V_y != V_x ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => V_x != V_y ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__imp__not__less,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__imp__le,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__not__sym,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__imp__neq,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 => V_x != V_y ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Ole__less__trans,axiom,
% 21.27/21.36 ! [V_z,V_y,V_x] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_y) )
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a] :
% 21.27/21.36 ( V_a = V_b
% 21.27/21.36 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_c)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_b) )
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oorder__trans,axiom,
% 21.27/21.36 ! [V_z,V_y,V_x] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oantisym,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x)
% 21.27/21.36 => V_x = V_y ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__antisym,axiom,
% 21.27/21.36 ! [V_n,V_m] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m,V_n)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_n,V_m)
% 21.27/21.36 => V_m = V_n ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 21.27/21.36 => ( V_b = V_c
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a] :
% 21.27/21.36 ( V_a = V_b
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_c)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Ole__neq__trans,axiom,
% 21.27/21.36 ! [V_b,V_a] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 21.27/21.36 => ( V_a != V_b
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) )
% 21.27/21.36 | V_x = V_y ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oantisym__conv,axiom,
% 21.27/21.36 ! [V_x_2,V_y_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 21.27/21.36 <=> V_x_2 = V_y_2 ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oeq__refl,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( V_x = V_y
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oneq__le__trans,axiom,
% 21.27/21.36 ! [V_b,V_a] :
% 21.27/21.36 ( V_a != V_b
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oless__le,axiom,
% 21.27/21.36 ! [V_y_2,V_x_2] :
% 21.27/21.36 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) )
% 21.27/21.36 <=> ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 21.27/21.36 & V_x_2 != V_y_2 ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Ole__less,axiom,
% 21.27/21.36 ! [V_y_2,V_x_2] :
% 21.27/21.36 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 21.27/21.36 <=> ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 21.27/21.36 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) )
% 21.27/21.36 | V_x_2 = V_y_2 ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd_Oeq__iff,axiom,
% 21.27/21.36 ! [V_y_2,V_x_2] :
% 21.27/21.36 ( V_x_2 = V_y_2
% 21.27/21.36 <=> ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2)
% 21.27/21.36 & c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zle__antisym,axiom,
% 21.27/21.36 ! [V_w,V_z] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z)
% 21.27/21.36 => V_z = V_w ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zle__trans,axiom,
% 21.27/21.36 ! [V_k,V_j,V_i] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zle__linear,axiom,
% 21.27/21.36 ! [V_w,V_z] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 21.27/21.36 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zle__refl,axiom,
% 21.27/21.36 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 21.27/21.36 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 21.27/21.36 ( 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)
% 21.27/21.36 => ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_unique__quotient__lemma__neg,axiom,
% 21.27/21.36 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zdiv__mono2__lemma,axiom,
% 21.27/21.36 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 21.27/21.36 ( 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)
% 21.27/21.36 => ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_unique__quotient__lemma,axiom,
% 21.27/21.36 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_q__neg__lemma,axiom,
% 21.27/21.36 ! [V_r_H,V_q_H,V_b_H] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_q__pos__lemma,axiom,
% 21.27/21.36 ! [V_r_H,V_q_H,V_b_H] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_pow__divides__pow__int,axiom,
% 21.27/21.36 ! [V_b,V_n,V_a] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_a,V_b) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_pow__divides__eq__int,axiom,
% 21.27/21.36 ! [V_b_2,V_a_2,V_n_2] :
% 21.27/21.36 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_a_2),V_n_2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_b_2),V_n_2))
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_a_2,V_b_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_gcd__lcm__complete__lattice__nat_Otop__greatest,axiom,
% 21.27/21.36 ! [V_x] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_gcd__lcm__complete__lattice__nat_Obot__least,axiom,
% 21.27/21.36 ! [V_x] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_x) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__pos__nat,axiom,
% 21.27/21.36 ! [V_m,V_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m,V_n)
% 21.27/21.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_pow__divides__eq__nat,axiom,
% 21.27/21.36 ! [V_b_2,V_a_2,V_n_2] :
% 21.27/21.36 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_a_2),V_n_2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_b_2),V_n_2))
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a_2,V_b_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_pow__divides__pow__nat,axiom,
% 21.27/21.36 ! [V_b,V_n,V_a] :
% 21.27/21.36 ( 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))
% 21.27/21.36 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 21.27/21.36 ! [V_n,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 21.27/21.36 => 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)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 21.27/21.36 => 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)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 21.27/21.36 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)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 21.27/21.36 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)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 21.27/21.36 => 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)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_incr__mult__lemma,axiom,
% 21.27/21.36 ! [V_k_2,V_P_2,V_d_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d_2)
% 21.27/21.36 => ( ! [B_x] :
% 21.27/21.36 ( hBOOL(hAPP(V_P_2,B_x))
% 21.27/21.36 => hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B_x,V_d_2))) )
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)
% 21.27/21.36 => ! [B_x] :
% 21.27/21.36 ( hBOOL(hAPP(V_P_2,B_x))
% 21.27/21.36 => 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)))) ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_ex__least__nat__less,axiom,
% 21.27/21.36 ! [V_n_2,V_P_2] :
% 21.27/21.36 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 21.27/21.36 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 21.27/21.36 => ? [B_k] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_k,V_n_2)
% 21.27/21.36 & ! [B_i] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,B_k)
% 21.27/21.36 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 21.27/21.36 & hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_k,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_realpow__pos__nth__unique,axiom,
% 21.27/21.36 ! [V_a,V_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 21.27/21.36 => ? [B_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_x)
% 21.27/21.36 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_x),V_n) = V_a
% 21.27/21.36 & ! [B_y] :
% 21.27/21.36 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_y)
% 21.27/21.36 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_y),V_n) = V_a )
% 21.27/21.36 => B_y = B_x ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_realpow__pos__nth,axiom,
% 21.27/21.36 ! [V_a,V_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 21.27/21.36 => ? [B_r] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)
% 21.27/21.36 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_r),V_n) = V_a ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__add__one,axiom,
% 21.27/21.36 ! [V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_poly__gcd_Osimps_I1_J,axiom,
% 21.27/21.36 ! [V_x,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => c_Polynomial_Opoly__gcd(T_a,V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Polynomial_Osmult(T_a,c_Rings_Oinverse__class_Oinverse(T_a,hAPP(c_Polynomial_Ocoeff(T_a,V_x),c_Polynomial_Odegree(T_a,V_x))),V_x) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nonzero__inverse__minus__eq,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zero__le__natceiling,axiom,
% 21.27/21.36 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__minus__eq,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__mono,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_power__inverse,axiom,
% 21.27/21.36 ! [V_n,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_n) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__inverse__eq,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__eq__iff__eq,axiom,
% 21.27/21.36 ! [V_b_2,V_a_2,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 21.27/21.36 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a_2) = c_Rings_Oinverse__class_Oinverse(T_a,V_b_2)
% 21.27/21.36 <=> V_a_2 = V_b_2 ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__eq__imp__eq,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 21.27/21.36 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 21.27/21.36 => V_a = V_b ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__zero,axiom,
% 21.27/21.36 c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__one,axiom,
% 21.27/21.36 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__zero,axiom,
% 21.27/21.36 ! [T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__nonzero__iff__nonzero,axiom,
% 21.27/21.36 ! [V_a_2,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 21.27/21.36 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nonzero__imp__inverse__nonzero,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nonzero__inverse__inverse__eq,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__zero__imp__zero,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nonzero__inverse__eq__imp__eq,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => V_a = V_b ) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_INVERSE__ZERO,axiom,
% 21.27/21.36 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__1,axiom,
% 21.27/21.36 ! [T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__unique,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Oone__class_Oone(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) = V_b ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nonzero__inverse__mult__distrib,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nonzero__power__inverse,axiom,
% 21.27/21.36 ! [V_n,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_n) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_left__inverse,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_right__inverse,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_division__ring__inverse__add,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Rings_Odivision__ring(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__neg,axiom,
% 21.27/21.36 ! [V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 21.27/21.36 => c_RComplete_Onatceiling(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__mult__inverse__left,axiom,
% 21.27/21.36 ! [V_x] :
% 21.27/21.36 ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.27/21.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__root__inverse,axiom,
% 21.27/21.36 ! [V_x,V_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.36 => c_NthRoot_Oroot(V_n,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n,V_x)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_pdivmod__rel__smult__right,axiom,
% 21.27/21.36 ! [V_r,V_q,V_y,V_x,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => ( c_Polynomial_Opdivmod__rel(T_a,V_x,V_y,V_q,V_r)
% 21.27/21.36 => c_Polynomial_Opdivmod__rel(T_a,V_x,c_Polynomial_Osmult(T_a,V_a,V_y),c_Polynomial_Osmult(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),V_q),V_r) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__le__eq__one,axiom,
% 21.27/21.36 ! [V_x_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__root__inverse__lemma,axiom,
% 21.27/21.36 ! [V_x,V_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => c_NthRoot_Oroot(V_n,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_NthRoot_Oroot(V_n,V_x)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_one__le__inverse__iff,axiom,
% 21.27/21.36 ! [V_x_2,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2))
% 21.27/21.36 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 21.27/21.36 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__less__1__iff,axiom,
% 21.27/21.36 ! [V_x_2,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 21.27/21.36 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 | c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_field__inverse__zero,axiom,
% 21.27/21.36 ! [T_a] :
% 21.27/21.36 ( class_Fields_Ofield__inverse__zero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__mult__distrib,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Ofield__inverse__zero(T_a)
% 21.27/21.36 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__eq__1__iff,axiom,
% 21.27/21.36 ! [V_x_2,T_a] :
% 21.27/21.36 ( class_Fields_Ofield__inverse__zero(T_a)
% 21.27/21.36 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 21.27/21.36 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__nonnegative__iff__nonnegative,axiom,
% 21.27/21.36 ! [V_a_2,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a_2))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__nonpositive__iff__nonpositive,axiom,
% 21.27/21.36 ! [V_a_2,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__positive__iff__positive,axiom,
% 21.27/21.36 ! [V_a_2,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a_2))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__negative__iff__negative,axiom,
% 21.27/21.36 ! [V_a_2,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_positive__imp__inverse__positive,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__positive__imp__positive,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a))
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_negative__imp__inverse__negative,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_less__imp__inverse__less,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_less__imp__inverse__less__neg,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__negative__imp__negative,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__less__imp__less,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__less__imp__less__neg,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__le__imp__le__neg,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__le__imp__le,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b))
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_le__imp__inverse__le__neg,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_le__imp__inverse__le,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__le__1__iff,axiom,
% 21.27/21.36 ! [V_x_2,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 21.27/21.36 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 21.27/21.36 | c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_inverse__add,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Rings_Oinverse__class_Oinverse(T_a,V_a))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_one__less__inverse__iff,axiom,
% 21.27/21.36 ! [V_x_2,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2))
% 21.27/21.36 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 21.27/21.36 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_one__less__inverse,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_field__inverse,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 21.27/21.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_one__le__inverse,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Fields_Olinordered__field(T_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__mult__inverse__cancel,axiom,
% 21.27/21.36 ! [V_u,V_y,V_x1,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))
% 21.27/21.36 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1)),V_u)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__mult__inverse__cancel2,axiom,
% 21.27/21.36 ! [V_u,V_y,V_x1,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))
% 21.27/21.36 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1))) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__add__one,axiom,
% 21.27/21.36 ! [V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__eq,axiom,
% 21.27/21.36 ! [V_x,V_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 21.27/21.36 => c_RComplete_Onatceiling(V_x) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__ge__zero,axiom,
% 21.27/21.36 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__le,axiom,
% 21.27/21.36 ! [V_a,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_ge__natfloor__plus__one__imp__gt,axiom,
% 21.27/21.36 ! [V_n,V_z] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_z),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)
% 21.27/21.36 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__eq,axiom,
% 21.27/21.36 ! [V_x,V_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 21.27/21.36 => c_RComplete_Onatfloor(V_x) = V_n ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zero__le__natfloor,axiom,
% 21.27/21.36 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_less__natfloor,axiom,
% 21.27/21.36 ! [V_n,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n))
% 21.27/21.36 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__add,axiom,
% 21.27/21.36 ! [V_a,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_le__natfloor__eq,axiom,
% 21.27/21.36 ! [V_a_2,V_x_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_a_2,c_RComplete_Onatfloor(V_x_2))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2),V_x_2) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__natfloor__le,axiom,
% 21.27/21.36 ! [V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__natceiling__ge,axiom,
% 21.27/21.36 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_le__natfloor,axiom,
% 21.27/21.36 ! [V_a,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__mono,axiom,
% 21.27/21.36 ! [V_y,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__power,axiom,
% 21.27/21.36 ! [V_n,V_x] :
% 21.27/21.36 ( V_x = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))
% 21.27/21.36 => c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__real__of__nat,axiom,
% 21.27/21.36 ! [V_n] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__real__of__nat,axiom,
% 21.27/21.36 ! [V_n] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__zero,axiom,
% 21.27/21.36 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__natfloor__add__one__gt,axiom,
% 21.27/21.36 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__one,axiom,
% 21.27/21.36 c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__zero,axiom,
% 21.27/21.36 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__zero__iff,axiom,
% 21.27/21.36 ! [V_n_2] :
% 21.27/21.36 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 21.27/21.36 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_not__real__of__nat__less__zero,axiom,
% 21.27/21.36 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__less__iff,axiom,
% 21.27/21.36 ! [V_m_2,V_n_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__add,axiom,
% 21.27/21.36 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__1,axiom,
% 21.27/21.36 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__power,axiom,
% 21.27/21.36 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_power__real__of__nat,axiom,
% 21.27/21.36 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__inject,axiom,
% 21.27/21.36 ! [V_m_2,V_n_2] :
% 21.27/21.36 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_RealDef_Oreal(tc_Nat_Onat,V_m_2)
% 21.27/21.36 <=> V_n_2 = V_m_2 ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__mult,axiom,
% 21.27/21.36 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__le__iff,axiom,
% 21.27/21.36 ! [V_m_2,V_n_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__Suc,axiom,
% 21.27/21.36 ! [V_n] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__one,axiom,
% 21.27/21.36 c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__Suc__gt__zero,axiom,
% 21.27/21.36 ! [V_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__le__zero__cancel__iff,axiom,
% 21.27/21.36 ! [V_n_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 21.27/21.36 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natfloor__neg,axiom,
% 21.27/21.36 ! [V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 21.27/21.36 => c_RComplete_Onatfloor(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,
% 21.27/21.36 ! [V_n_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nat__less__real__le,axiom,
% 21.27/21.36 ! [V_m_2,V_n_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_m_2)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_nat__le__real__less,axiom,
% 21.27/21.36 ! [V_m_2,V_n_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2)
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__le__eq,axiom,
% 21.27/21.36 ! [V_a_2,V_x_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),V_a_2)
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_le__natfloor__eq__one,axiom,
% 21.27/21.36 ! [V_x_2] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_x_2))
% 21.27/21.36 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_natceiling__add,axiom,
% 21.27/21.36 ! [V_a,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_le__mult__natfloor,axiom,
% 21.27/21.36 ! [V_b,V_a] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b))) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom,
% 21.27/21.36 ! [V_n,V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),V_n)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_reals__Archimedean4,axiom,
% 21.27/21.36 ! [V_x,V_y] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 21.27/21.36 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => ? [B_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B_n)),V_y),V_x)
% 21.27/21.36 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))),V_y)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_decseq__def,axiom,
% 21.27/21.36 ! [V_X_2,T_a] :
% 21.27/21.36 ( class_Orderings_Oorder(T_a)
% 21.27/21.36 => ( c_SEQ_Odecseq(T_a,V_X_2)
% 21.27/21.36 <=> ! [B_m,B_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 21.27/21.36 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_reals__Archimedean,axiom,
% 21.27/21.36 ! [V_x] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 21.27/21.36 => ? [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))),V_x) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_reals__Archimedean6a,axiom,
% 21.27/21.36 ! [V_r] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)
% 21.27/21.36 => ? [B_n] :
% 21.27/21.36 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,B_n),V_r)
% 21.27/21.36 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_poly__gcd__code,axiom,
% 21.27/21.36 ! [V_x,V_y,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.36 => c_Polynomial_Opoly__gcd(T_a,V_x,V_y) = c_Polynomial_Osmult(T_a,c_Rings_Oinverse__class_Oinverse(T_a,hAPP(c_Polynomial_Ocoeff(T_a,V_x),c_Polynomial_Odegree(T_a,V_x))),V_x) )
% 21.27/21.36 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.36 => c_Polynomial_Opoly__gcd(T_a,V_x,V_y) = c_Polynomial_Opoly__gcd(T_a,V_y,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_degree__mod__less,axiom,
% 21.27/21.36 ! [V_x,V_y,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => ( V_y != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.36 => ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(T_a),V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 21.27/21.36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(T_a,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(T_a),V_x,V_y)),c_Polynomial_Odegree(T_a,V_y)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mult__self2,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mult__self1,axiom,
% 21.27/21.36 ! [V_b,V_c,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mod__iff,axiom,
% 21.27/21.36 ! [V_m_2,V_n_2,V_k_2,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_k_2,V_n_2)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_k_2,c_Divides_Odiv__class_Omod(T_a,V_m_2,V_n_2))
% 21.27/21.36 <=> c_Rings_Odvd__class_Odvd(T_a,V_k_2,V_m_2) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mod__cancel,axiom,
% 21.27/21.36 ! [V_a,V_b,V_c,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_c,V_b)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mod,axiom,
% 21.27/21.36 ! [V_n,V_m,V_k,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_k,V_m)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_k,V_n)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_k,c_Divides_Odiv__class_Omod(T_a,V_m,V_n)) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__mod__imp__dvd,axiom,
% 21.27/21.36 ! [V_n,V_m,V_k,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_k,c_Divides_Odiv__class_Omod(T_a,V_m,V_n))
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_k,V_n)
% 21.27/21.36 => c_Rings_Odvd__class_Odvd(T_a,V_k,V_m) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__eq__mod__eq__0,axiom,
% 21.27/21.36 ! [V_b_2,V_a_2,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_a_2,V_b_2)
% 21.27/21.36 <=> c_Divides_Odiv__class_Omod(T_a,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_dvd__imp__mod__0,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mult__self2__is__0,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mult__self1__is__0,axiom,
% 21.27/21.36 ! [V_a,V_b,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__by__1,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__self,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__by__0,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__0,axiom,
% 21.27/21.36 ! [V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__add__self2,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__add__self1,axiom,
% 21.27/21.36 ! [V_a,V_b,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__add__right__eq,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__add__left__eq,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_c),V_b),V_c) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__add__eq,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_c),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zmod__simps_I2_J,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_zmod__simps_I1_J,axiom,
% 21.27/21.36 ! [V_b,V_c,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_c),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__add__cong,axiom,
% 21.27/21.36 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 21.27/21.36 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_H,V_b_H),V_c) ) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_poly__mod__minus__right,axiom,
% 21.27/21.36 ! [V_y,V_x,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_y)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(T_a),V_x,V_y) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_poly__mod__minus__left,axiom,
% 21.27/21.36 ! [V_y,V_x,T_a] :
% 21.27/21.36 ( class_Fields_Ofield(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(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_Omod(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__minus__cong,axiom,
% 21.27/21.36 ! [V_a_H,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Oring__div(T_a)
% 21.27/21.36 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_H),V_b) ) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__minus__eq,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Oring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,c_Groups_Ouminus__class_Ouminus(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mod__trivial,axiom,
% 21.27/21.36 ! [V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mult__right__eq,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mult__left__eq,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 21.27/21.36
% 21.27/21.36 fof(fact_mod__mult__eq,axiom,
% 21.27/21.36 ! [V_c,V_b,V_a,T_a] :
% 21.27/21.36 ( class_Divides_Osemiring__div(T_a)
% 21.27/21.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 21.27/21.36
% 21.27/21.36 %----Arity declarations (265)
% 21.27/21.36 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
% 21.27/21.36 ! [T_1] :
% 21.27/21.36 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 21.27/21.36 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,
% 21.27/21.36 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom,
% 21.27/21.36 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,
% 21.27/21.36 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,
% 21.27/21.36 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 21.27/21.36 ! [T_2,T_1] :
% 21.27/21.36 ( class_Lattices_Oboolean__algebra(T_1)
% 21.27/21.36 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_fun__Orderings_Opreorder,axiom,
% 21.27/21.36 ! [T_2,T_1] :
% 21.27/21.36 ( class_Orderings_Opreorder(T_1)
% 21.27/21.36 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_fun__Orderings_Oorder,axiom,
% 21.27/21.36 ! [T_2,T_1] :
% 21.27/21.36 ( class_Orderings_Oorder(T_1)
% 21.27/21.36 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_fun__Orderings_Oord,axiom,
% 21.27/21.36 ! [T_2,T_1] :
% 21.27/21.36 ( class_Orderings_Oord(T_1)
% 21.27/21.36 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_fun__Groups_Ouminus,axiom,
% 21.27/21.36 ! [T_2,T_1] :
% 21.27/21.36 ( class_Groups_Ouminus(T_1)
% 21.27/21.36 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 21.27/21.36 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 21.27/21.36 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 21.27/21.36 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 21.27/21.36 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 21.27/21.36 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 21.27/21.36 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 21.27/21.36 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 21.27/21.36 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 21.27/21.36 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 21.27/21.36 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 21.27/21.36 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 21.27/21.36 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 21.27/21.36 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 21.27/21.36 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 21.27/21.36 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 21.27/21.36 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 21.27/21.36 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 21.27/21.36 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 21.27/21.36 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 21.27/21.36 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 21.27/21.36 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 21.27/21.36 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 21.27/21.36 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 21.27/21.36 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 21.27/21.36 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 21.27/21.36 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 21.27/21.36 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 21.27/21.36 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 21.27/21.36 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,
% 21.27/21.36 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 21.27/21.36 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 21.27/21.36 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 21.27/21.36 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 21.27/21.36
% 21.27/21.36 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 21.27/21.37 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 21.27/21.37 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 21.27/21.37 class_Orderings_Opreorder(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 21.27/21.37 class_Orderings_Olinorder(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 21.27/21.37 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 21.27/21.37 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 21.27/21.37 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 21.27/21.37 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 21.27/21.37 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 21.27/21.37 class_Divides_Oring__div(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 21.27/21.37 class_Rings_Omult__zero(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 21.27/21.37 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 21.27/21.37 class_Orderings_Oorder(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 21.27/21.37 class_Int_Oring__char__0(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 21.27/21.37 class_Rings_Osemiring(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 21.27/21.37 class_Orderings_Oord(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 21.27/21.37 class_Groups_Ouminus(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 21.27/21.37 class_Rings_Oring__1(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Power_Opower,axiom,
% 21.27/21.37 class_Power_Opower(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 21.27/21.37 class_Groups_Ozero(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Oring,axiom,
% 21.27/21.37 class_Rings_Oring(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 21.27/21.37 class_Rings_Oidom(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Groups_Oone,axiom,
% 21.27/21.37 class_Groups_Oone(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 21.27/21.37 class_Rings_Odvd(tc_Int_Oint) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 21.27/21.37 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 21.27/21.37 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 21.27/21.37 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 21.27/21.37 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 21.27/21.37 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 21.27/21.37 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 21.27/21.37 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 21.27/21.37 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 21.27/21.37 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 21.27/21.37 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 21.27/21.37 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 21.27/21.37 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 21.27/21.37 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 21.27/21.37 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 21.27/21.37 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 21.27/21.37 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 21.27/21.37 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 21.27/21.37 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 21.27/21.37 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 21.27/21.37 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 21.27/21.37 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 21.27/21.37 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 21.27/21.37 class_Orderings_Oorder(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 21.27/21.37 class_Rings_Osemiring(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 21.27/21.37 class_Orderings_Oord(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Power_Opower,axiom,
% 21.27/21.37 class_Power_Opower(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 21.27/21.37 class_Groups_Ozero(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 21.27/21.37 class_Groups_Oone(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 21.27/21.37 class_Rings_Odvd(tc_Nat_Onat) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 21.27/21.37 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 21.27/21.37 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 21.27/21.37 class_Orderings_Oorder(tc_HOL_Obool) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 21.27/21.37 class_Orderings_Oord(tc_HOL_Obool) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 21.27/21.37 class_Groups_Ouminus(tc_HOL_Obool) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 21.27/21.37 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 21.27/21.37 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,
% 21.27/21.37 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
% 21.27/21.37 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom,
% 21.27/21.37 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,
% 21.27/21.37 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
% 21.27/21.37 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 21.27/21.37 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
% 21.27/21.37 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
% 21.27/21.37 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,
% 21.27/21.37 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,
% 21.27/21.37 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
% 21.27/21.37 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,
% 21.27/21.37 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,
% 21.27/21.37 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom,
% 21.27/21.37 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
% 21.27/21.37 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom,
% 21.27/21.37 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
% 21.27/21.37 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
% 21.27/21.37 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,
% 21.27/21.37 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,
% 21.27/21.37 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
% 21.27/21.37 class_Fields_Olinordered__field(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,
% 21.27/21.37 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,
% 21.27/21.37 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,
% 21.27/21.37 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,
% 21.27/21.37 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
% 21.27/21.37 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
% 21.27/21.37 class_Rings_Odivision__ring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
% 21.27/21.37 class_Groups_Oab__group__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,
% 21.27/21.37 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,
% 21.27/21.37 class_Rings_Oordered__ring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 21.27/21.37 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 21.27/21.37 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,
% 21.27/21.37 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom,
% 21.27/21.37 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,
% 21.27/21.37 class_Groups_Omonoid__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,
% 21.27/21.37 class_Rings_Osemiring__0(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
% 21.27/21.37 class_Groups_Ogroup__add(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,
% 21.27/21.37 class_Rings_Omult__zero(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom,
% 21.27/21.37 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
% 21.27/21.37 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 21.27/21.37 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
% 21.27/21.37 class_Rings_Osemiring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
% 21.27/21.37 class_Orderings_Oord(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom,
% 21.27/21.37 class_Groups_Ouminus(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,
% 21.27/21.37 class_Rings_Oring__1(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Fields_Ofield,axiom,
% 21.27/21.37 class_Fields_Ofield(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Power_Opower,axiom,
% 21.27/21.37 class_Power_Opower(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
% 21.27/21.37 class_Groups_Ozero(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oring,axiom,
% 21.27/21.37 class_Rings_Oring(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Oidom,axiom,
% 21.27/21.37 class_Rings_Oidom(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Groups_Oone,axiom,
% 21.27/21.37 class_Groups_Oone(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_RealDef__Oreal__Rings_Odvd,axiom,
% 21.27/21.37 class_Rings_Odvd(tc_RealDef_Oreal) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 21.27/21.37 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom,
% 21.27/21.37 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 21.27/21.37 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
% 21.27/21.37 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
% 21.27/21.37 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
% 21.27/21.37 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,
% 21.27/21.37 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,
% 21.27/21.37 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,
% 21.27/21.37 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
% 21.27/21.37 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
% 21.27/21.37 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
% 21.27/21.37 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,
% 21.27/21.37 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
% 21.27/21.37 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
% 21.27/21.37 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
% 21.27/21.37 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
% 21.27/21.37 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,
% 21.27/21.37 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,
% 21.27/21.37 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
% 21.27/21.37 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
% 21.27/21.37 class_Rings_Omult__zero(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,
% 21.27/21.37 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 21.27/21.37 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
% 21.27/21.37 class_Rings_Osemiring(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,
% 21.27/21.37 class_Groups_Ouminus(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,
% 21.27/21.37 class_Rings_Oring__1(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
% 21.27/21.37 class_Fields_Ofield(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Power_Opower,axiom,
% 21.27/21.37 class_Power_Opower(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
% 21.27/21.37 class_Groups_Ozero(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
% 21.27/21.37 class_Rings_Oring(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
% 21.27/21.37 class_Rings_Oidom(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
% 21.27/21.37 class_Groups_Oone(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Complex__Ocomplex__Rings_Odvd,axiom,
% 21.27/21.37 class_Rings_Odvd(tc_Complex_Ocomplex) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Oidom(T_1)
% 21.27/21.37 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 21.27/21.37 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Oidom(T_1)
% 21.27/21.37 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Oidom(T_1)
% 21.27/21.37 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 21.27/21.37 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__0(T_1)
% 21.27/21.37 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__1(T_1)
% 21.27/21.37 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Ocomm__monoid__add(T_1)
% 21.27/21.37 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Oidom(T_1)
% 21.27/21.37 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Ocomm__monoid__add(T_1)
% 21.27/21.37 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__1(T_1)
% 21.27/21.37 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__0(T_1)
% 21.27/21.37 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Fields_Ofield(T_1)
% 21.27/21.37 => class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__0(T_1)
% 21.27/21.37 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Oab__group__add(T_1)
% 21.27/21.37 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__1(T_1)
% 21.27/21.37 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__1(T_1)
% 21.27/21.37 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__ring__1(T_1)
% 21.27/21.37 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Ocomm__monoid__add(T_1)
% 21.27/21.37 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__0(T_1)
% 21.27/21.37 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Oab__group__add(T_1)
% 21.27/21.37 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Divides_Oring__div,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Fields_Ofield(T_1)
% 21.27/21.37 => class_Divides_Oring__div(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__0(T_1)
% 21.27/21.37 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__ring(T_1)
% 21.27/21.37 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__0(T_1)
% 21.27/21.37 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Olinordered__idom(T_1)
% 21.27/21.37 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Oab__group__add(T_1)
% 21.27/21.37 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__ring__1(T_1)
% 21.27/21.37 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Power_Opower,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__1(T_1)
% 21.27/21.37 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Groups_Ozero(T_1)
% 21.27/21.37 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__ring(T_1)
% 21.27/21.37 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Oidom(T_1)
% 21.27/21.37 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__1(T_1)
% 21.27/21.37 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 fof(arity_Polynomial__Opoly__Rings_Odvd,axiom,
% 21.27/21.37 ! [T_1] :
% 21.27/21.37 ( class_Rings_Ocomm__semiring__1(T_1)
% 21.27/21.37 => class_Rings_Odvd(tc_Polynomial_Opoly(T_1)) ) ).
% 21.27/21.37
% 21.27/21.37 %----Helper facts (2)
% 21.27/21.37 fof(help_c__fequal__1,axiom,
% 21.27/21.37 ! [V_y_2,V_x_2] :
% 21.27/21.37 ( ~ hBOOL(c_fequal(V_x_2,V_y_2))
% 21.27/21.37 | V_x_2 = V_y_2 ) ).
% 21.27/21.37
% 21.27/21.37 fof(help_c__fequal__2,axiom,
% 21.27/21.37 ! [V_y_2,V_x_2] :
% 21.27/21.37 ( V_x_2 != V_y_2
% 21.27/21.37 | hBOOL(c_fequal(V_x_2,V_y_2)) ) ).
% 21.27/21.37
% 21.27/21.37 %----Conjectures (2)
% 21.27/21.37 fof(conj_0,hypothesis,
% 21.27/21.37 ! [B_q] :
% 21.27/21.37 ( c_Polynomial_Odegree(tc_Complex_Ocomplex,B_q) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
% 21.27/21.37 => ( ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,B_x))
% 21.27/21.37 => v_thesis____ ) ) ).
% 21.27/21.37
% 21.27/21.37 fof(conj_1,conjecture,
% 21.27/21.37 v_thesis____ ).
% 21.27/21.37
% 21.27/21.37 %------------------------------------------------------------------------------
% 21.27/21.37 %-------------------------------------------
% 21.27/21.37 % Proof found
% 21.27/21.37 % SZS status Theorem for theBenchmark
% 21.27/21.37 % SZS output start Proof
% 21.27/21.37 %ClaNum:1812(EqnAxiom:222)
% 21.27/21.37 %VarNum:8896(SingletonVarNum:3078)
% 21.27/21.37 %MaxLitNum:8
% 21.27/21.37 %MaxfuncDepth:8
% 21.27/21.37 %SharedTerms:255
% 21.27/21.37 %goalClause: 520
% 21.27/21.37 %singleGoalClaCount:1
% 21.27/21.37 [223]P1(a1)
% 21.27/21.37 [224]P1(a57)
% 21.27/21.37 [225]P1(a60)
% 21.27/21.37 [226]P1(a58)
% 21.27/21.37 [227]P2(a1)
% 21.27/21.37 [228]P2(a60)
% 21.27/21.37 [229]P2(a58)
% 21.27/21.37 [230]P47(a1)
% 21.27/21.37 [231]P47(a60)
% 21.27/21.37 [232]P47(a58)
% 21.27/21.37 [233]P48(a1)
% 21.27/21.37 [234]P48(a57)
% 21.27/21.37 [235]P48(a60)
% 21.27/21.37 [236]P48(a58)
% 21.27/21.37 [237]P3(a1)
% 21.27/21.37 [238]P3(a57)
% 21.27/21.37 [239]P3(a60)
% 21.27/21.37 [240]P3(a58)
% 21.27/21.37 [241]P18(a1)
% 21.27/21.37 [242]P18(a57)
% 21.27/21.37 [243]P18(a60)
% 21.27/21.37 [244]P18(a58)
% 21.27/21.37 [245]P19(a1)
% 21.27/21.37 [246]P19(a57)
% 21.27/21.37 [247]P19(a60)
% 21.27/21.37 [248]P19(a58)
% 21.27/21.37 [249]P22(a1)
% 21.27/21.37 [250]P22(a57)
% 21.27/21.37 [251]P22(a60)
% 21.27/21.37 [252]P22(a58)
% 21.27/21.37 [253]P52(a60)
% 21.27/21.37 [254]P52(a58)
% 21.27/21.37 [255]P23(a1)
% 21.27/21.37 [256]P23(a57)
% 21.27/21.37 [257]P23(a60)
% 21.27/21.37 [258]P23(a58)
% 21.27/21.37 [259]P24(a57)
% 21.27/21.37 [260]P24(a60)
% 21.27/21.37 [261]P24(a58)
% 21.27/21.37 [262]P25(a57)
% 21.27/21.37 [263]P25(a60)
% 21.27/21.37 [264]P25(a58)
% 21.27/21.37 [265]P26(a57)
% 21.27/21.37 [266]P26(a60)
% 21.27/21.37 [267]P26(a58)
% 21.27/21.37 [268]P36(a57)
% 21.27/21.37 [269]P36(a60)
% 21.27/21.37 [270]P36(a58)
% 21.27/21.37 [271]P36(a59)
% 21.27/21.37 [272]P37(a57)
% 21.27/21.37 [273]P37(a60)
% 21.27/21.37 [274]P37(a58)
% 21.27/21.37 [275]P37(a59)
% 21.27/21.37 [276]P38(a57)
% 21.27/21.37 [277]P38(a60)
% 21.27/21.37 [278]P38(a58)
% 21.27/21.37 [279]P38(a59)
% 21.27/21.37 [280]P39(a57)
% 21.27/21.37 [281]P39(a60)
% 21.27/21.37 [282]P39(a58)
% 21.27/21.37 [283]P20(a1)
% 21.27/21.37 [284]P20(a57)
% 21.27/21.37 [285]P20(a60)
% 21.27/21.37 [286]P20(a58)
% 21.27/21.37 [287]P54(a1)
% 21.27/21.37 [288]P54(a57)
% 21.27/21.37 [289]P54(a60)
% 21.27/21.37 [290]P54(a58)
% 21.27/21.37 [291]P27(a1)
% 21.27/21.37 [292]P27(a57)
% 21.27/21.37 [293]P27(a60)
% 21.27/21.37 [294]P27(a58)
% 21.27/21.37 [295]P28(a60)
% 21.27/21.37 [296]P28(a58)
% 21.27/21.37 [297]P34(a57)
% 21.27/21.37 [298]P34(a60)
% 21.27/21.37 [299]P34(a58)
% 21.27/21.37 [300]P55(a60)
% 21.27/21.37 [301]P55(a58)
% 21.27/21.37 [302]P56(a60)
% 21.27/21.37 [303]P56(a58)
% 21.27/21.37 [304]P57(a57)
% 21.27/21.37 [305]P57(a60)
% 21.27/21.37 [306]P57(a58)
% 21.27/21.37 [307]P58(a57)
% 21.27/21.37 [308]P58(a60)
% 21.27/21.37 [309]P58(a58)
% 21.27/21.37 [310]P62(a1)
% 21.27/21.37 [311]P62(a57)
% 21.27/21.37 [312]P62(a60)
% 21.27/21.37 [313]P62(a58)
% 21.27/21.37 [314]P63(a1)
% 21.27/21.37 [315]P63(a60)
% 21.27/21.37 [316]P63(a58)
% 21.27/21.37 [317]P64(a1)
% 21.27/21.37 [318]P64(a57)
% 21.27/21.37 [319]P64(a60)
% 21.27/21.37 [320]P64(a58)
% 21.27/21.37 [321]P72(a1)
% 21.27/21.37 [322]P72(a57)
% 21.27/21.37 [323]P72(a60)
% 21.27/21.37 [324]P72(a58)
% 21.27/21.37 [325]P42(a1)
% 21.27/21.37 [326]P42(a57)
% 21.27/21.37 [327]P42(a60)
% 21.27/21.37 [328]P42(a58)
% 21.27/21.37 [329]P65(a57)
% 21.27/21.37 [330]P65(a60)
% 21.27/21.37 [331]P65(a58)
% 21.27/21.37 [332]P66(a60)
% 21.27/21.37 [333]P66(a58)
% 21.27/21.37 [334]P68(a57)
% 21.27/21.37 [335]P68(a60)
% 21.27/21.37 [336]P68(a58)
% 21.27/21.37 [337]P67(a57)
% 21.27/21.37 [338]P67(a60)
% 21.27/21.37 [339]P67(a58)
% 21.27/21.37 [340]P53(a57)
% 21.27/21.37 [341]P53(a60)
% 21.27/21.37 [342]P53(a58)
% 21.27/21.37 [343]P59(a57)
% 21.27/21.37 [344]P59(a60)
% 21.27/21.37 [345]P59(a58)
% 21.27/21.37 [346]P4(a1)
% 21.27/21.37 [347]P4(a60)
% 21.27/21.37 [348]P43(a1)
% 21.27/21.37 [349]P43(a60)
% 21.27/21.37 [350]P60(a60)
% 21.27/21.37 [351]P60(a58)
% 21.27/21.37 [352]P31(a1)
% 21.27/21.37 [353]P31(a57)
% 21.27/21.37 [354]P31(a60)
% 21.27/21.37 [355]P31(a58)
% 21.27/21.37 [356]P29(a1)
% 21.27/21.37 [357]P29(a57)
% 21.27/21.37 [358]P29(a60)
% 21.27/21.37 [359]P29(a58)
% 21.27/21.37 [360]P73(a1)
% 21.27/21.37 [361]P73(a57)
% 21.27/21.37 [362]P73(a60)
% 21.27/21.37 [363]P73(a58)
% 21.27/21.37 [364]P32(a1)
% 21.27/21.37 [365]P32(a57)
% 21.27/21.37 [366]P32(a60)
% 21.27/21.37 [367]P32(a58)
% 21.27/21.37 [368]P61(a60)
% 21.27/21.37 [369]P61(a58)
% 21.27/21.37 [370]P45(a1)
% 21.27/21.37 [371]P45(a60)
% 21.27/21.37 [372]P45(a58)
% 21.27/21.37 [373]P33(a60)
% 21.27/21.37 [374]P33(a58)
% 21.27/21.37 [375]P30(a1)
% 21.27/21.37 [376]P30(a60)
% 21.27/21.37 [377]P30(a58)
% 21.27/21.37 [378]P14(a1)
% 21.27/21.37 [379]P14(a60)
% 21.27/21.37 [380]P14(a58)
% 21.27/21.37 [381]P46(a1)
% 21.27/21.37 [382]P46(a60)
% 21.27/21.37 [383]P46(a58)
% 21.27/21.37 [384]P69(a1)
% 21.27/21.37 [385]P69(a60)
% 21.27/21.37 [386]P69(a58)
% 21.27/21.37 [387]P70(a1)
% 21.27/21.37 [388]P70(a60)
% 21.27/21.37 [389]P70(a58)
% 21.27/21.37 [390]P44(a1)
% 21.27/21.37 [391]P44(a57)
% 21.27/21.37 [392]P44(a60)
% 21.27/21.37 [393]P44(a58)
% 21.27/21.37 [394]P74(a1)
% 21.27/21.37 [395]P74(a57)
% 21.27/21.37 [396]P74(a60)
% 21.27/21.37 [397]P74(a58)
% 21.27/21.37 [398]P71(a1)
% 21.27/21.37 [399]P71(a60)
% 21.27/21.37 [400]P71(a58)
% 21.27/21.37 [401]P49(a1)
% 21.27/21.37 [402]P49(a57)
% 21.27/21.37 [403]P49(a60)
% 21.27/21.37 [404]P49(a58)
% 21.27/21.37 [405]P40(a59)
% 21.27/21.37 [406]P35(a1)
% 21.27/21.37 [407]P35(a60)
% 21.27/21.37 [408]P35(a58)
% 21.27/21.37 [409]P35(a59)
% 21.27/21.37 [410]P50(a1)
% 21.27/21.37 [411]P50(a60)
% 21.27/21.37 [412]P51(a1)
% 21.27/21.37 [413]P51(a60)
% 21.27/21.37 [414]P15(a60)
% 21.27/21.37 [415]P16(a1)
% 21.27/21.37 [416]P16(a60)
% 21.27/21.37 [417]P17(a60)
% 21.27/21.37 [418]P5(a57)
% 21.27/21.37 [419]P5(a58)
% 21.27/21.37 [420]P6(a58)
% 21.27/21.37 [421]P21(a1)
% 21.27/21.37 [422]P21(a57)
% 21.27/21.37 [423]P21(a60)
% 21.27/21.37 [424]P21(a58)
% 21.27/21.37 [520]~P75(a500)
% 21.27/21.37 [448]P8(a60,f2(a60),a62)
% 21.27/21.37 [459]P7(a58,f2(a58),f3(a58))
% 21.27/21.37 [460]P8(a58,f2(a58),f3(a58))
% 21.27/21.37 [521]~E(f3(a60),f2(a60))
% 21.27/21.37 [522]~E(f3(a58),f2(a58))
% 21.27/21.37 [425]E(f10(f2(a60)),f2(a57))
% 21.27/21.37 [426]E(f10(f3(a60)),f3(a57))
% 21.27/21.37 [427]E(f28(f2(a60)),f2(a57))
% 21.27/21.37 [428]E(f28(f3(a60)),f3(a57))
% 21.27/21.37 [429]E(f7(a58,f2(a58)),f2(a58))
% 21.27/21.37 [430]E(f29(a60,f2(a60)),f2(a60))
% 21.27/21.37 [431]E(f30(a57,f2(a57)),f2(a60))
% 21.27/21.37 [432]E(f30(a57,f3(a57)),f3(a60))
% 21.27/21.37 [475]E(f30(a57,f9(a57,f2(a57),f3(a57))),f3(a60))
% 21.27/21.37 [441]P7(a57,x4411,x4411)
% 21.27/21.37 [442]P7(a60,x4421,x4421)
% 21.27/21.37 [443]P7(a58,x4431,x4431)
% 21.27/21.37 [444]P10(a57,x4441,x4441)
% 21.27/21.37 [524]~P8(a57,x5241,x5241)
% 21.27/21.37 [450]P10(a57,x4501,f2(a57))
% 21.27/21.37 [452]P7(a57,f2(a57),x4521)
% 21.27/21.37 [453]P10(a57,f3(a57),x4531)
% 21.27/21.37 [465]P7(a60,f2(a60),f30(a57,x4651))
% 21.27/21.37 [527]~P8(a57,x5271,f2(a57))
% 21.27/21.37 [536]~P8(a60,f30(a57,x5361),f2(a60))
% 21.27/21.37 [433]E(f11(x4331,f2(a60)),f2(a60))
% 21.27/21.37 [434]E(f10(f30(a57,x4341)),x4341)
% 21.27/21.37 [435]E(f28(f30(a57,x4351)),x4351)
% 21.27/21.37 [436]E(f7(a58,f7(a58,x4361)),x4361)
% 21.27/21.37 [437]E(f31(f31(f8(a57),x4371),f3(a57)),x4371)
% 21.27/21.37 [438]E(f31(f31(f8(a58),x4381),f3(a58)),x4381)
% 21.27/21.37 [440]E(f31(f31(f8(a57),x4401),f2(a57)),f2(a57))
% 21.27/21.37 [454]E(f9(a57,x4541,f2(a57)),x4541)
% 21.27/21.37 [455]E(f9(a58,x4551,f2(a58)),x4551)
% 21.27/21.37 [456]E(f9(a57,f2(a57),x4561),x4561)
% 21.27/21.37 [457]E(f9(a58,f2(a58),x4571),x4571)
% 21.27/21.37 [464]E(f9(a58,f7(a58,x4641),x4641),f2(a58))
% 21.27/21.37 [466]P7(a60,x4661,f30(a57,f10(x4661)))
% 21.27/21.37 [479]P8(a57,x4791,f9(a57,x4791,f3(a57)))
% 21.27/21.37 [480]P8(a57,f2(a57),f9(a57,x4801,f3(a57)))
% 21.27/21.37 [481]P10(a57,f9(a57,f2(a57),f3(a57)),x4811)
% 21.27/21.37 [490]P8(a60,x4901,f9(a60,f30(a57,f28(x4901)),f3(a60)))
% 21.27/21.37 [529]~E(f9(a57,x5291,f3(a57)),x5291)
% 21.27/21.37 [535]~E(f9(a57,x5351,f3(a57)),f2(a57))
% 21.27/21.37 [539]~P7(a57,f9(a57,x5391,f3(a57)),x5391)
% 21.27/21.37 [445]E(f31(f31(f8(a57),f3(a57)),x4451),x4451)
% 21.27/21.37 [446]E(f31(f31(f8(a60),f3(a60)),x4461),x4461)
% 21.27/21.37 [447]E(f31(f31(f8(a58),f3(a58)),x4471),x4471)
% 21.27/21.37 [449]E(f31(f31(f8(a57),f2(a57)),x4491),f2(a57))
% 21.27/21.37 [474]E(f11(f9(a57,f2(a57),f3(a57)),x4741),x4741)
% 21.27/21.37 [476]P7(a57,x4761,f31(f31(f8(a57),x4761),x4761))
% 21.27/21.37 [485]E(f9(a60,f30(a57,x4851),f3(a60)),f30(a57,f9(a57,x4851,f3(a57))))
% 21.27/21.37 [493]P8(a60,f2(a60),f30(a57,f9(a57,x4931,f3(a57))))
% 21.27/21.37 [540]~E(f9(a58,f9(a58,f3(a58),x5401),x5401),f2(a58))
% 21.27/21.37 [501]P7(a57,x5011,f31(f31(f8(a57),x5011),f31(f31(f8(a57),x5011),x5011)))
% 21.27/21.37 [503]E(f31(f31(f14(a57),f9(a57,f2(a57),f3(a57))),x5031),f9(a57,f2(a57),f3(a57)))
% 21.27/21.37 [470]E(f9(a57,x4701,x4702),f9(a57,x4702,x4701))
% 21.27/21.37 [471]E(f9(a58,x4711,x4712),f9(a58,x4712,x4711))
% 21.27/21.37 [477]P7(a57,x4771,f9(a57,x4772,x4771))
% 21.27/21.37 [478]P7(a57,x4781,f9(a57,x4781,x4782))
% 21.27/21.37 [537]~P8(a57,f9(a57,x5371,x5372),x5372)
% 21.27/21.37 [538]~P8(a57,f9(a57,x5381,x5382),x5381)
% 21.27/21.37 [439]E(f4(a1,f32(x4391,x4392)),f4(a1,x4392))
% 21.27/21.37 [486]E(f9(a58,f7(a58,x4861),f7(a58,x4862)),f7(a58,f9(a58,x4861,x4862)))
% 21.27/21.37 [487]E(f9(a60,f30(a57,x4871),f30(a57,x4872)),f30(a57,f9(a57,x4871,x4872)))
% 21.27/21.37 [509]P8(a57,x5091,f9(a57,f9(a57,x5092,x5091),f3(a57)))
% 21.27/21.37 [510]P8(a57,x5101,f9(a57,f9(a57,x5101,x5102),f3(a57)))
% 21.27/21.37 [467]E(f31(f31(f8(a57),x4671),x4672),f31(f31(f8(a57),x4672),x4671))
% 21.27/21.37 [468]E(f31(f31(f8(a60),x4681),x4682),f31(f31(f8(a60),x4682),x4681))
% 21.27/21.37 [469]E(f31(f31(f8(a58),x4691),x4692),f31(f31(f8(a58),x4692),x4691))
% 21.27/21.37 [500]E(f9(a57,f9(a57,x5001,f3(a57)),x5002),f9(a57,f9(a57,x5001,x5002),f3(a57)))
% 21.27/21.37 [502]E(f9(a57,f9(a57,x5021,f3(a57)),x5022),f9(a57,x5021,f9(a57,x5022,f3(a57))))
% 21.27/21.37 [483]E(f31(f31(f8(a58),f7(a58,x4831)),x4832),f7(a58,f31(f31(f8(a58),x4831),x4832)))
% 21.27/21.37 [484]E(f31(f31(f14(a60),f30(a57,x4841)),x4842),f30(a57,f31(f31(f14(a57),x4841),x4842)))
% 21.27/21.37 [488]E(f31(f31(f8(a60),f30(a57,x4881)),f30(a57,x4882)),f30(a57,f31(f31(f8(a57),x4881),x4882)))
% 21.27/21.37 [494]E(f31(f31(f8(a57),x4941),f9(a57,x4942,f3(a57))),f9(a57,x4941,f31(f31(f8(a57),x4941),x4942)))
% 21.27/21.37 [504]P7(a60,f7(a60,f31(f31(f8(a60),x5041),x5041)),f31(f31(f8(a60),x5042),x5042))
% 21.27/21.37 [513]E(f31(f31(f8(a57),f9(a57,x5131,f3(a57))),x5132),f9(a57,x5132,f31(f31(f8(a57),x5131),x5132)))
% 21.27/21.37 [473]E(f31(f12(x4731,x4732,x4733),f2(a57)),x4732)
% 21.27/21.37 [495]E(f9(a57,x4951,f9(a57,x4952,x4953)),f9(a57,x4952,f9(a57,x4951,x4953)))
% 21.27/21.37 [496]E(f9(a58,x4961,f9(a58,x4962,x4963)),f9(a58,x4962,f9(a58,x4961,x4963)))
% 21.27/21.37 [497]E(f9(a57,f9(a57,x4971,x4972),x4973),f9(a57,x4971,f9(a57,x4972,x4973)))
% 21.27/21.37 [498]E(f9(a58,f9(a58,x4981,x4982),x4983),f9(a58,x4981,f9(a58,x4982,x4983)))
% 21.27/21.37 [489]E(f31(f15(a1,x4891),f9(a1,x4892,x4893)),f31(f15(a1,f32(x4892,x4891)),x4893))
% 21.27/21.37 [511]E(f9(a57,f31(f31(f8(a57),x5111),x5112),f31(f31(f8(a57),x5111),x5113)),f31(f31(f8(a57),x5111),f9(a57,x5112,x5113)))
% 21.27/21.37 [512]E(f9(a58,f31(f31(f8(a58),x5121),x5122),f31(f31(f8(a58),x5121),x5123)),f31(f31(f8(a58),x5121),f9(a58,x5122,x5123)))
% 21.27/21.37 [514]E(f31(f31(f8(a58),f31(f31(f14(a58),x5141),x5142)),f31(f31(f14(a58),x5141),x5143)),f31(f31(f14(a58),x5141),f9(a57,x5142,x5143)))
% 21.27/21.37 [515]E(f9(a57,f31(f31(f8(a57),x5151),x5152),f31(f31(f8(a57),x5153),x5152)),f31(f31(f8(a57),f9(a57,x5151,x5153)),x5152))
% 21.27/21.37 [516]E(f9(a60,f31(f31(f8(a60),x5161),x5162),f31(f31(f8(a60),x5163),x5162)),f31(f31(f8(a60),f9(a60,x5161,x5163)),x5162))
% 21.27/21.37 [517]E(f9(a58,f31(f31(f8(a58),x5171),x5172),f31(f31(f8(a58),x5173),x5172)),f31(f31(f8(a58),f9(a58,x5171,x5173)),x5172))
% 21.27/21.37 [505]E(f31(f31(f8(a57),f31(f31(f8(a57),x5051),x5052)),x5053),f31(f31(f8(a57),x5051),f31(f31(f8(a57),x5052),x5053)))
% 21.27/21.37 [506]E(f31(f31(f8(a60),f31(f31(f8(a60),x5061),x5062)),x5063),f31(f31(f8(a60),x5061),f31(f31(f8(a60),x5062),x5063)))
% 21.27/21.37 [507]E(f31(f31(f8(a58),f31(f31(f8(a58),x5071),x5072)),x5073),f31(f31(f8(a58),x5071),f31(f31(f8(a58),x5072),x5073)))
% 21.27/21.37 [508]E(f31(f31(f14(a58),f31(f31(f14(a58),x5081),x5082)),x5083),f31(f31(f14(a58),x5081),f31(f31(f8(a57),x5082),x5083)))
% 21.27/21.37 [492]E(f31(f31(f23(x4921,x4922,x4923),x4924),f2(a57)),x4922)
% 21.27/21.37 [491]E(f31(f12(x4911,x4912,x4913),f9(a57,x4914,f3(a57))),f31(x4913,x4914))
% 21.27/21.37 [519]E(f9(a57,f31(f31(f8(a57),x5191),x5192),f9(a57,f31(f31(f8(a57),x5193),x5192),x5194)),f9(a57,f31(f31(f8(a57),f9(a57,x5191,x5193)),x5192),x5194))
% 21.27/21.37 [518]E(f31(f31(f23(x5181,x5182,x5183),x5184),f9(a57,x5185,f3(a57))),f31(f31(x5183,x5184),f31(f31(f23(x5181,x5182,x5183),x5184),x5185)))
% 21.27/21.37 [541]~P1(x5411)+P1(f61(x5411))
% 21.27/21.37 [542]~P52(x5421)+P2(f61(x5421))
% 21.27/21.37 [543]~P47(x5431)+P47(f61(x5431))
% 21.27/21.37 [544]~P48(x5441)+P48(f61(x5441))
% 21.27/21.37 [545]~P22(x5451)+P3(f61(x5451))
% 21.27/21.37 [546]~P21(x5461)+P18(f61(x5461))
% 21.27/21.37 [547]~P21(x5471)+P19(f61(x5471))
% 21.27/21.37 [548]~P22(x5481)+P22(f61(x5481))
% 21.27/21.37 [549]~P52(x5491)+P52(f61(x5491))
% 21.27/21.37 [550]~P23(x5501)+P23(f61(x5501))
% 21.27/21.37 [551]~P52(x5511)+P24(f61(x5511))
% 21.27/21.37 [552]~P52(x5521)+P25(f61(x5521))
% 21.27/21.37 [553]~P52(x5531)+P26(f61(x5531))
% 21.27/21.37 [554]~P52(x5541)+P36(f61(x5541))
% 21.27/21.37 [555]~P52(x5551)+P37(f61(x5551))
% 21.27/21.37 [556]~P52(x5561)+P38(f61(x5561))
% 21.27/21.37 [557]~P52(x5571)+P39(f61(x5571))
% 21.27/21.37 [558]~P1(x5581)+P20(f61(x5581))
% 21.27/21.37 [559]~P47(x5591)+P54(f61(x5591))
% 21.27/21.37 [560]~P22(x5601)+P27(f61(x5601))
% 21.27/21.37 [561]~P52(x5611)+P28(f61(x5611))
% 21.27/21.37 [562]~P52(x5621)+P34(f61(x5621))
% 21.27/21.37 [563]~P52(x5631)+P55(f61(x5631))
% 21.27/21.37 [564]~P52(x5641)+P56(f61(x5641))
% 21.27/21.37 [565]~P52(x5651)+P57(f61(x5651))
% 21.27/21.37 [566]~P52(x5661)+P58(f61(x5661))
% 21.27/21.37 [567]~P1(x5671)+P62(f61(x5671))
% 21.27/21.37 [568]~P47(x5681)+P63(f61(x5681))
% 21.27/21.37 [569]~P47(x5691)+P64(f61(x5691))
% 21.27/21.37 [570]~P1(x5701)+P72(f61(x5701))
% 21.27/21.37 [571]~P1(x5711)+P42(f61(x5711))
% 21.27/21.37 [572]~P52(x5721)+P65(f61(x5721))
% 21.27/21.37 [573]~P52(x5731)+P66(f61(x5731))
% 21.27/21.37 [574]~P52(x5741)+P68(f61(x5741))
% 21.27/21.37 [575]~P52(x5751)+P67(f61(x5751))
% 21.27/21.37 [576]~P52(x5761)+P53(f61(x5761))
% 21.27/21.37 [577]~P52(x5771)+P59(f61(x5771))
% 21.27/21.37 [578]~P52(x5781)+P60(f61(x5781))
% 21.27/21.37 [579]~P48(x5791)+P31(f61(x5791))
% 21.27/21.37 [580]~P48(x5801)+P29(f61(x5801))
% 21.27/21.37 [581]~P48(x5811)+P73(f61(x5811))
% 21.27/21.37 [582]~P48(x5821)+P32(f61(x5821))
% 21.27/21.37 [583]~P52(x5831)+P61(f61(x5831))
% 21.27/21.37 [584]~P45(x5841)+P45(f61(x5841))
% 21.27/21.37 [585]~P52(x5851)+P33(f61(x5851))
% 21.27/21.37 [586]~P14(x5861)+P30(f61(x5861))
% 21.27/21.37 [587]~P14(x5871)+P14(f61(x5871))
% 21.27/21.37 [588]~P46(x5881)+P46(f61(x5881))
% 21.27/21.37 [589]~P46(x5891)+P69(f61(x5891))
% 21.27/21.37 [590]~P47(x5901)+P70(f61(x5901))
% 21.27/21.37 [591]~P48(x5911)+P44(f61(x5911))
% 21.27/21.37 [592]~P1(x5921)+P74(f61(x5921))
% 21.27/21.37 [593]~P45(x5931)+P71(f61(x5931))
% 21.27/21.37 [594]~P48(x5941)+P49(f61(x5941))
% 21.27/21.37 [595]~P14(x5951)+P35(f61(x5951))
% 21.27/21.37 [596]~P4(x5961)+P5(f61(x5961))
% 21.27/21.37 [597]~P4(x5971)+P6(f61(x5971))
% 21.27/21.37 [598]~P21(x5981)+P21(f61(x5981))
% 21.27/21.37 [600]~P73(x6001)+~E(f3(x6001),f2(x6001))
% 21.27/21.37 [601]~E(x6011,f2(a57))+E(f30(a57,x6011),f2(a60))
% 21.27/21.37 [602]E(x6021,f2(a57))+~E(f30(a57,x6021),f2(a60))
% 21.27/21.37 [661]E(x6611,f2(a57))+P8(a57,f2(a57),x6611)
% 21.27/21.37 [710]~P59(x7101)+P7(x7101,f2(x7101),f3(x7101))
% 21.27/21.37 [711]~P59(x7111)+P8(x7111,f2(x7111),f3(x7111))
% 21.27/21.37 [732]~E(x7321,f2(a57))+P7(a60,f30(a57,x7321),f2(a60))
% 21.27/21.37 [767]E(x7671,f2(a57))+~P7(a57,x7671,f2(a57))
% 21.27/21.37 [768]E(x7681,f3(a57))+~P10(a57,x7681,f3(a57))
% 21.27/21.37 [775]E(f10(x7751),f2(a57))+~P7(a60,x7751,f2(a60))
% 21.27/21.37 [776]E(f28(x7761),f2(a57))+~P7(a60,x7761,f2(a60))
% 21.27/21.37 [820]~P59(x8201)+~P7(x8201,f3(x8201),f2(x8201))
% 21.27/21.37 [821]~P59(x8211)+~P8(x8211,f3(x8211),f2(x8211))
% 21.27/21.37 [861]E(x8611,f2(a57))+~P7(a60,f30(a57,x8611),f2(a60))
% 21.27/21.37 [889]~P8(a58,f2(a58),x8891)+P7(a58,f3(a58),x8891)
% 21.27/21.37 [890]~P7(a58,f3(a58),x8901)+P8(a58,f2(a58),x8901)
% 21.27/21.37 [918]~P7(a60,x9181,f3(a60))+P7(a57,f10(x9181),f3(a57))
% 21.27/21.37 [919]~P7(a60,f3(a60),x9191)+P7(a57,f3(a57),f28(x9191))
% 21.27/21.37 [929]~P7(a57,f10(x9291),f3(a57))+P7(a60,x9291,f3(a60))
% 21.27/21.37 [930]~P7(a57,f3(a57),f28(x9301))+P7(a60,f3(a60),x9301)
% 21.27/21.37 [944]~P8(a57,f2(a57),x9441)+P8(a60,f2(a60),f30(a57,x9441))
% 21.27/21.37 [1000]P8(a57,f2(a57),x10001)+~P8(a60,f2(a60),f30(a57,x10001))
% 21.27/21.37 [605]~P30(x6051)+E(f7(x6051,f2(x6051)),f2(x6051))
% 21.27/21.37 [606]~P51(x6061)+E(f29(x6061,f2(x6061)),f2(x6061))
% 21.27/21.37 [607]~P16(x6071)+E(f29(x6071,f2(x6071)),f2(x6071))
% 21.27/21.37 [608]~P50(x6081)+E(f29(x6081,f3(x6081)),f3(x6081))
% 21.27/21.37 [659]~P52(x6591)+~P11(x6591,f2(f61(x6591)))
% 21.27/21.37 [720]~P44(x7201)+E(f23(x7201,f3(x7201),f8(x7201)),f14(x7201))
% 21.27/21.37 [808]~P8(a57,f2(a57),x8081)+E(f11(x8081,f3(a60)),f3(a60))
% 21.27/21.37 [921]~P8(a57,f2(a57),x9211)+E(f9(a57,f50(x9211),f3(a57)),x9211)
% 21.27/21.37 [974]~P7(a60,f2(a60),x9741)+P7(a60,f30(a57,f28(x9741)),x9741)
% 21.27/21.37 [975]~P7(a60,f2(a60),x9751)+P7(a60,f30(a57,f47(x9751)),x9751)
% 21.27/21.37 [1043]~P59(x10431)+P8(x10431,f2(x10431),f9(x10431,f3(x10431),f3(x10431)))
% 21.27/21.37 [1189]~P7(a58,f2(a58),x11891)+P8(a58,f2(a58),f9(a58,f3(a58),x11891))
% 21.27/21.37 [1228]E(x12281,f2(a57))+~P8(a57,x12281,f9(a57,f2(a57),f3(a57)))
% 21.27/21.37 [1358]~P10(a57,x13581,f9(a57,f2(a57),f3(a57)))+E(x13581,f9(a57,f2(a57),f3(a57)))
% 21.27/21.37 [630]~P23(x6301)+E(f16(x6301,f2(f61(x6301))),f2(a57))
% 21.27/21.37 [631]~P48(x6311)+E(f16(x6311,f3(f61(x6311))),f2(a57))
% 21.27/21.37 [650]~P14(x6501)+E(f7(f61(x6501),f2(f61(x6501))),f2(f61(x6501)))
% 21.27/21.37 [777]~P48(x7771)+E(f21(x7771,f3(x7771),f2(f61(x7771))),f3(f61(x7771)))
% 21.27/21.37 [778]~P23(x7781)+E(f21(x7781,f2(x7781),f2(f61(x7781))),f2(f61(x7781)))
% 21.27/21.37 [791]E(x7911,f2(a60))+E(f31(f31(f8(a60),f29(a60,x7911)),x7911),f3(a60))
% 21.27/21.37 [809]~P4(x8091)+E(f25(x8091,f2(f61(x8091)),f2(f61(x8091))),f2(f61(x8091)))
% 21.27/21.37 [903]E(x9031,f2(a60))+P8(a60,f2(a60),f31(f31(f8(a60),x9031),x9031))
% 21.27/21.37 [1140]~E(x11401,f2(a60))+~P8(a60,f2(a60),f31(f31(f8(a60),x11401),x11401))
% 21.27/21.37 [1213]~P7(a60,f2(a60),x12131)+E(f10(f9(a60,x12131,f3(a60))),f9(a57,f10(x12131),f3(a57)))
% 21.27/21.37 [1214]~P7(a60,f2(a60),x12141)+E(f28(f9(a60,x12141,f3(a60))),f9(a57,f28(x12141),f3(a57)))
% 21.27/21.37 [1503]~P7(a60,f2(a60),x15031)+P8(a60,x15031,f30(a57,f9(a57,f47(x15031),f3(a57))))
% 21.27/21.37 [1591]~P8(a58,x15911,f2(a58))+P8(a58,f9(a58,f9(a58,f3(a58),x15911),x15911),f2(a58))
% 21.27/21.37 [1706]P8(a58,x17061,f2(a58))+~P8(a58,f9(a58,f9(a58,f3(a58),x17061),x17061),f2(a58))
% 21.27/21.37 [1714]~P8(a60,f2(a60),x17141)+P8(a60,f29(a60,f30(a57,f9(a57,f48(x17141),f3(a57)))),x17141)
% 21.27/21.37 [653]~E(x6531,x6532)+P7(a57,x6531,x6532)
% 21.27/21.37 [654]~E(x6541,x6542)+P7(a60,x6541,x6542)
% 21.27/21.37 [658]~E(x6581,x6582)+P10(a57,x6581,x6582)
% 21.27/21.37 [667]~P36(x6671)+P7(x6671,x6672,x6672)
% 21.27/21.37 [668]~P48(x6681)+P10(x6681,x6682,x6682)
% 21.27/21.37 [742]~E(x7421,x7422)+~P8(a57,x7421,x7422)
% 21.27/21.37 [743]~E(x7431,x7432)+~P8(a60,x7431,x7432)
% 21.27/21.37 [744]~E(x7441,x7442)+~P8(a58,x7441,x7442)
% 21.27/21.37 [770]~P8(x7701,x7702,x7702)+~P36(x7701)
% 21.27/21.37 [803]P7(a57,x8032,x8031)+P7(a57,x8031,x8032)
% 21.27/21.37 [804]P7(a60,x8042,x8041)+P7(a60,x8041,x8042)
% 21.27/21.37 [805]P7(a58,x8052,x8051)+P7(a58,x8051,x8052)
% 21.27/21.37 [873]~P8(a57,x8731,x8732)+P7(a57,x8731,x8732)
% 21.27/21.37 [875]~P8(a60,x8751,x8752)+P7(a60,x8751,x8752)
% 21.27/21.37 [876]~P8(a58,x8761,x8762)+P7(a58,x8761,x8762)
% 21.27/21.37 [613]~E(x6131,x6132)+P76(f33(x6131,x6132))
% 21.27/21.37 [616]~P36(x6162)+P36(f63(x6161,x6162))
% 21.27/21.37 [617]~P37(x6172)+P37(f63(x6171,x6172))
% 21.27/21.37 [618]~P38(x6182)+P38(f63(x6181,x6182))
% 21.27/21.37 [619]~P40(x6192)+P40(f63(x6191,x6192))
% 21.27/21.37 [620]~P35(x6202)+P35(f63(x6201,x6202))
% 21.27/21.37 [627]E(x6271,x6272)+~E(f30(a57,x6271),f30(a57,x6272))
% 21.27/21.37 [641]E(x6411,x6412)+~P76(f33(x6411,x6412))
% 21.27/21.37 [678]~P5(x6781)+E(f5(x6781,x6782,x6782),f2(x6781))
% 21.27/21.37 [685]~P48(x6851)+P10(x6851,x6852,f2(x6851))
% 21.27/21.37 [686]~P48(x6861)+P10(x6861,f3(x6861),x6862)
% 21.27/21.37 [719]~E(x7192,f7(a60,x7191))+E(f9(a60,x7191,x7192),f2(a60))
% 21.27/21.37 [748]~E(f9(a57,x7482,x7481),x7482)+E(x7481,f2(a57))
% 21.27/21.37 [752]~P8(a57,x7522,x7521)+~E(x7521,f2(a57))
% 21.27/21.37 [761]E(x7611,f2(a57))+~E(f9(a57,x7612,x7611),f2(a57))
% 21.27/21.37 [762]E(x7621,f2(a57))+~E(f9(a57,x7621,x7622),f2(a57))
% 21.27/21.37 [796]E(x7961,f7(a60,x7962))+~E(f9(a60,x7962,x7961),f2(a60))
% 21.27/21.37 [899]~P7(a60,x8991,x8992)+P7(a57,f10(x8991),f10(x8992))
% 21.27/21.37 [900]~P7(a60,x9001,x9002)+P7(a57,f28(x9001),f28(x9002))
% 21.27/21.37 [931]~P10(a58,x9311,x9312)+P10(a58,x9311,f7(a58,x9312))
% 21.27/21.37 [932]~P10(a58,x9321,x9322)+P10(a58,f7(a58,x9321),x9322)
% 21.27/21.37 [966]P10(a58,x9661,x9662)+~P10(a58,x9661,f7(a58,x9662))
% 21.27/21.37 [967]P10(a58,x9671,x9672)+~P10(a58,f7(a58,x9671),x9672)
% 21.27/21.37 [979]P7(a57,x9791,f28(x9792))+~P7(a60,f30(a57,x9791),x9792)
% 21.27/21.37 [980]P7(a57,f10(x9801),x9802)+~P7(a60,x9801,f30(a57,x9802))
% 21.27/21.37 [1005]~P7(a57,x10051,x10052)+P7(a60,f30(a57,x10051),f30(a57,x10052))
% 21.27/21.37 [1006]~P8(a57,x10061,x10062)+P8(a60,f30(a57,x10061),f30(a57,x10062))
% 21.27/21.37 [1069]P7(a57,x10691,x10692)+~P7(a60,f30(a57,x10691),f30(a57,x10692))
% 21.27/21.37 [1070]P8(a57,x10701,x10702)+~P8(a60,f30(a57,x10701),f30(a57,x10702))
% 21.27/21.37 [1156]~P10(a57,x11561,x11562)+P10(a57,x11561,f9(a57,x11562,x11561))
% 21.27/21.37 [1261]~P7(a60,f7(a60,x12611),x12612)+P7(a60,f2(a60),f9(a60,x12611,x12612))
% 21.27/21.37 [1262]~P8(a60,f7(a60,x12621),x12622)+P8(a60,f2(a60),f9(a60,x12621,x12622))
% 21.27/21.37 [1263]~P7(a60,x12632,f7(a60,x12631))+P7(a60,f9(a60,x12631,x12632),f2(a60))
% 21.27/21.37 [1264]~P8(a60,x12642,f7(a60,x12641))+P8(a60,f9(a60,x12641,x12642),f2(a60))
% 21.27/21.37 [1295]P10(a57,x12951,x12952)+~P10(a57,x12951,f9(a57,x12952,x12951))
% 21.27/21.37 [1359]P7(a60,x13591,f7(a60,x13592))+~P7(a60,f9(a60,x13592,x13591),f2(a60))
% 21.27/21.37 [1360]P8(a60,x13601,f7(a60,x13602))+~P8(a60,f9(a60,x13602,x13601),f2(a60))
% 21.27/21.37 [1361]P7(a60,f7(a60,x13611),x13612)+~P7(a60,f2(a60),f9(a60,x13611,x13612))
% 21.27/21.37 [1362]P8(a60,f7(a60,x13621),x13622)+~P8(a60,f2(a60),f9(a60,x13621,x13622))
% 21.27/21.37 [637]~P23(x6371)+E(f18(x6371,f17(x6371,x6372)),x6372)
% 21.27/21.37 [638]~P30(x6381)+E(f7(x6381,f7(x6381,x6382)),x6382)
% 21.27/21.37 [639]~P40(x6391)+E(f7(x6391,f7(x6391,x6392)),x6392)
% 21.27/21.37 [640]~P51(x6401)+E(f29(x6401,f29(x6401,x6402)),x6402)
% 21.27/21.37 [671]~P48(x6711)+E(f31(f31(f14(x6711),x6712),f3(a57)),x6712)
% 21.27/21.37 [672]~P31(x6721)+E(f31(f31(f14(x6721),x6722),f3(a57)),x6722)
% 21.27/21.37 [679]~P48(x6791)+E(f31(f31(f8(x6791),x6792),f3(x6791)),x6792)
% 21.27/21.37 [680]~P31(x6801)+E(f31(f31(f8(x6801),x6802),f3(x6801)),x6802)
% 21.27/21.37 [681]~P29(x6811)+E(f31(f31(f8(x6811),x6812),f3(x6811)),x6812)
% 21.27/21.37 [682]~P48(x6821)+E(f31(f31(f14(x6821),x6822),f2(a57)),f3(x6821))
% 21.27/21.37 [683]~P44(x6831)+E(f31(f31(f14(x6831),x6832),f2(a57)),f3(x6831))
% 21.27/21.37 [687]~P48(x6871)+E(f9(x6871,x6872,f2(x6871)),x6872)
% 21.27/21.37 [688]~P22(x6881)+E(f9(x6881,x6882,f2(x6881)),x6882)
% 21.27/21.37 [689]~P27(x6891)+E(f9(x6891,x6892,f2(x6891)),x6892)
% 21.27/21.37 [690]~P5(x6901)+E(f5(x6901,x6902,f2(x6901)),x6902)
% 21.27/21.37 [691]~P48(x6911)+E(f9(x6911,f2(x6911),x6912),x6912)
% 21.27/21.37 [692]~P22(x6921)+E(f9(x6921,f2(x6921),x6922),x6922)
% 21.27/21.37 [693]~P27(x6931)+E(f9(x6931,f2(x6931),x6932),x6932)
% 21.27/21.37 [694]~P48(x6941)+E(f24(x6941,f3(x6941),x6942),x6942)
% 21.27/21.37 [696]~P48(x6961)+E(f31(f31(f8(x6961),x6962),f2(x6961)),f2(x6961))
% 21.27/21.37 [697]~P62(x6971)+E(f31(f31(f8(x6971),x6972),f2(x6971)),f2(x6971))
% 21.27/21.37 [699]~P43(x6991)+E(f31(f31(f8(x6991),x6992),f2(x6991)),f2(x6991))
% 21.27/21.37 [701]~P5(x7011)+E(f5(x7011,x7012,f3(x7011)),f2(x7011))
% 21.27/21.37 [702]~P5(x7021)+E(f5(x7021,f2(x7021),x7022),f2(x7021))
% 21.27/21.37 [721]~P23(x7211)+E(f19(x7211,f2(x7211),x7212),f2(f61(x7211)))
% 21.27/21.37 [722]~P1(x7221)+E(f24(x7221,f2(x7221),x7222),f2(f61(x7221)))
% 21.27/21.37 [730]~E(x7301,x7302)+E(f9(a60,x7301,f7(a60,x7302)),f2(a60))
% 21.27/21.37 [737]~P51(x7371)+E(f29(x7371,f7(x7371,x7372)),f7(x7371,f29(x7371,x7372)))
% 21.27/21.37 [763]~P30(x7631)+E(f9(x7631,x7632,f7(x7631,x7632)),f2(x7631))
% 21.27/21.37 [764]~P30(x7641)+E(f9(x7641,f7(x7641,x7642),x7642),f2(x7641))
% 21.27/21.37 [765]~P14(x7651)+E(f9(x7651,f7(x7651,x7652),x7652),f2(x7651))
% 21.27/21.37 [856]E(x8561,x8562)+~E(f9(a60,x8561,f7(a60,x8562)),f2(a60))
% 21.27/21.37 [860]E(x8601,x8602)+~E(f31(x8601,f35(x8602,x8601)),f31(x8602,f35(x8602,x8601)))
% 21.27/21.37 [892]P8(a57,f2(a57),x8921)+~E(x8921,f9(a57,x8922,f3(a57)))
% 21.27/21.37 [934]~P7(a57,x9341,x9342)+E(f9(a57,x9341,f51(x9342,x9341)),x9342)
% 21.27/21.37 [935]~P7(a57,x9351,x9352)+E(f9(a57,x9351,f54(x9352,x9351)),x9352)
% 21.27/21.37 [936]~P8(a57,f2(a57),x9361)+E(f11(x9361,f7(a60,x9362)),f7(a60,f11(x9361,x9362)))
% 21.27/21.37 [937]~P8(a57,f2(a57),x9371)+E(f29(a60,f11(x9371,x9372)),f11(x9371,f29(a60,x9372)))
% 21.27/21.37 [941]~E(x9411,x9412)+P8(a57,x9411,f9(a57,x9412,f3(a57)))
% 21.27/21.37 [942]~E(x9421,x9422)+P8(a58,x9421,f9(a58,x9422,f3(a58)))
% 21.27/21.37 [949]~E(x9491,f2(a57))+P8(a57,x9491,f9(a57,x9492,f3(a57)))
% 21.27/21.37 [999]~P59(x9991)+P8(x9991,x9992,f9(x9991,x9992,f3(x9991)))
% 21.27/21.37 [1091]P8(a57,x10911,x10912)+P8(a57,x10912,f9(a57,x10911,f3(a57)))
% 21.27/21.37 [1092]P7(a57,x10921,x10922)+P7(a57,f9(a57,x10922,f3(a57)),x10921)
% 21.27/21.37 [1167]~P7(a57,x11671,x11672)+P8(a57,x11671,f9(a57,x11672,f3(a57)))
% 21.27/21.37 [1170]~P7(a58,x11701,x11702)+P8(a58,x11701,f9(a58,x11702,f3(a58)))
% 21.27/21.37 [1171]~P8(a58,x11711,x11712)+P8(a58,x11711,f9(a58,x11712,f3(a58)))
% 21.27/21.37 [1174]~P8(a57,x11741,x11742)+P7(a57,f9(a57,x11741,f3(a57)),x11742)
% 21.27/21.37 [1176]~P8(a58,x11761,x11762)+P7(a58,f9(a58,x11761,f3(a58)),x11762)
% 21.27/21.37 [1290]~P8(a57,x12901,x12902)+E(f9(a57,f9(a57,x12901,f55(x12902,x12901)),f3(a57)),x12902)
% 21.27/21.37 [1313]P7(a57,x13131,x13132)+~P8(a57,x13131,f9(a57,x13132,f3(a57)))
% 21.27/21.37 [1314]P7(a58,x13141,x13142)+~P8(a58,x13141,f9(a58,x13142,f3(a58)))
% 21.27/21.37 [1318]P8(a57,x13181,x13182)+~P7(a57,f9(a57,x13181,f3(a57)),x13182)
% 21.27/21.37 [1320]P8(a58,x13201,x13202)+~P7(a58,f9(a58,x13201,f3(a58)),x13202)
% 21.27/21.37 [1326]~P7(a57,x13261,x13262)+P8(a60,f30(a57,x13261),f9(a60,f30(a57,x13262),f3(a60)))
% 21.27/21.37 [1327]~P8(a57,x13271,x13272)+P7(a60,f9(a60,f30(a57,x13271),f3(a60)),f30(a57,x13272))
% 21.27/21.37 [1390]~P8(a57,x13901,x13902)+~P8(a57,x13902,f9(a57,x13901,f3(a57)))
% 21.27/21.37 [1391]~P7(a57,x13911,x13912)+~P7(a57,f9(a57,x13912,f3(a57)),x13911)
% 21.27/21.37 [1411]P8(a60,x14111,f30(a57,x14112))+~P7(a57,f9(a57,f28(x14111),f3(a57)),x14112)
% 21.27/21.37 [1508]P7(a57,x15081,x15082)+~P8(a60,f30(a57,x15081),f9(a60,f30(a57,x15082),f3(a60)))
% 21.27/21.37 [1509]P8(a57,x15091,x15092)+~P7(a60,f9(a60,f30(a57,x15091),f3(a60)),f30(a57,x15092))
% 21.27/21.37 [1596]P7(a57,x15961,x15962)+~P7(a57,f9(a57,x15961,f3(a57)),f9(a57,x15962,f3(a57)))
% 21.27/21.37 [1598]P8(a57,x15981,x15982)+~P8(a57,f9(a57,x15981,f3(a57)),f9(a57,x15982,f3(a57)))
% 21.27/21.37 [1765]~P4(x17651)+P12(x17651,x17652,f2(f61(x17651)),f2(f61(x17651)),x17652)
% 21.27/21.37 [1770]~P4(x17701)+P12(x17701,f2(f61(x17701)),x17702,f2(f61(x17701)),f2(f61(x17701)))
% 21.27/21.37 [648]~E(x6482,f2(a57))+E(f31(f31(f8(a57),x6481),x6482),f2(a57))
% 21.27/21.37 [649]~E(x6491,f2(a57))+E(f31(f31(f8(a57),x6491),x6492),f2(a57))
% 21.27/21.37 [663]~P41(x6631)+E(f31(f31(f8(x6631),x6632),x6632),x6632)
% 21.27/21.37 [706]~P48(x7061)+E(f31(f31(f8(x7061),f3(x7061)),x7062),x7062)
% 21.27/21.37 [707]~P31(x7071)+E(f31(f31(f8(x7071),f3(x7071)),x7072),x7072)
% 21.27/21.37 [708]~P29(x7081)+E(f31(f31(f8(x7081),f3(x7081)),x7082),x7082)
% 21.27/21.37 [709]~P14(x7091)+E(f16(x7091,f7(f61(x7091),x7092)),f16(x7091,x7092))
% 21.27/21.37 [714]~P48(x7141)+E(f31(f31(f8(x7141),f2(x7141)),x7142),f2(x7141))
% 21.27/21.37 [715]~P62(x7151)+E(f31(f31(f8(x7151),f2(x7151)),x7152),f2(x7151))
% 21.27/21.37 [717]~P43(x7171)+E(f31(f31(f8(x7171),f2(x7171)),x7172),f2(x7171))
% 21.27/21.37 [718]~P31(x7181)+E(f31(f31(f14(x7181),f3(x7181)),x7182),f3(x7181))
% 21.27/21.37 [727]E(x7271,f3(a57))+~E(f31(f31(f8(a57),x7272),x7271),f3(a57))
% 21.27/21.37 [728]E(x7281,f3(a57))+~E(f31(f31(f8(a57),x7281),x7282),f3(a57))
% 21.27/21.37 [735]~P22(x7351)+E(f9(f61(x7351),x7352,f2(f61(x7351))),x7352)
% 21.27/21.37 [736]~P22(x7361)+E(f9(f61(x7361),f2(f61(x7361)),x7362),x7362)
% 21.27/21.37 [755]~P1(x7551)+E(f24(x7551,x7552,f2(f61(x7551))),f2(f61(x7551)))
% 21.27/21.37 [756]~P4(x7561)+E(f25(x7561,x7562,f3(f61(x7561))),f3(f61(x7561)))
% 21.27/21.37 [757]~P1(x7571)+E(f6(x7571,f2(f61(x7571)),x7572),f2(f61(x7571)))
% 21.27/21.37 [758]~P1(x7581)+E(f20(x7581,f2(f61(x7581)),x7582),f2(f61(x7581)))
% 21.27/21.37 [759]~P1(x7591)+E(f27(x7591,f2(f61(x7591)),x7592),f2(f61(x7591)))
% 21.27/21.37 [760]~P4(x7601)+E(f25(x7601,f3(f61(x7601)),x7602),f3(f61(x7601)))
% 21.27/21.37 [815]~E(x8152,f2(a57))+E(f31(f31(f14(a57),x8151),x8152),f9(a57,f2(a57),f3(a57)))
% 21.27/21.37 [819]~P1(x8191)+E(f31(f31(f8(f61(x8191)),x8192),f2(f61(x8191))),f2(f61(x8191)))
% 21.27/21.37 [877]~P23(x8771)+E(f21(x8771,x8772,f2(f61(x8771))),f19(x8771,x8772,f2(a57)))
% 21.27/21.37 [925]~E(x9252,f2(a57))+P8(a57,f2(a57),f31(f31(f14(a57),x9251),x9252))
% 21.27/21.37 [964]~P55(x9641)+P7(x9641,f2(x9641),f31(f31(f8(x9641),x9642),x9642))
% 21.27/21.37 [1044]~E(x10441,f9(a57,f2(a57),f3(a57)))+E(f31(f31(f14(a57),x10441),x10442),f9(a57,f2(a57),f3(a57)))
% 21.27/21.37 [1109]E(x11091,f9(a57,f2(a57),f3(a57)))+~E(f31(f31(f8(a57),x11092),x11091),f9(a57,f2(a57),f3(a57)))
% 21.27/21.37 [1110]E(x11101,f9(a57,f2(a57),f3(a57)))+~E(f31(f31(f8(a57),x11101),x11102),f9(a57,f2(a57),f3(a57)))
% 21.27/21.37 [1136]~P7(a58,f2(a58),x11361)+P7(a58,f2(a58),f31(f31(f14(a58),x11361),x11362))
% 21.27/21.37 [1138]~P8(a57,f2(a57),x11381)+P8(a57,f2(a57),f31(f31(f14(a57),x11381),x11382))
% 21.27/21.37 [1210]~P55(x12101)+~P8(x12101,f31(f31(f8(x12101),x12102),x12102),f2(x12101))
% 21.27/21.37 [1270]P8(a57,f2(a57),x12701)+~P8(a57,f2(a57),f31(f31(f8(a57),x12702),x12701))
% 21.27/21.37 [1271]P8(a57,f2(a57),x12711)+~P8(a57,f2(a57),f31(f31(f8(a57),x12711),x12712))
% 21.27/21.37 [1301]~P7(a60,f2(a60),x13011)+E(f10(f9(a60,x13011,f30(a57,x13012))),f9(a57,f10(x13011),x13012))
% 21.27/21.37 [1302]~P7(a60,f2(a60),x13021)+E(f28(f9(a60,x13021,f30(a57,x13022))),f9(a57,f28(x13021),x13022))
% 21.27/21.37 [1634]~P7(a57,f9(a57,f2(a57),f3(a57)),x16341)+P7(a57,f9(a57,f2(a57),f3(a57)),f31(f31(f14(a57),x16341),x16342))
% 21.27/21.37 [1682]P7(a57,f9(a57,f2(a57),f3(a57)),x16821)+~P7(a57,f9(a57,f2(a57),f3(a57)),f31(f31(f8(a57),x16822),x16821))
% 21.27/21.37 [1683]P7(a57,f9(a57,f2(a57),f3(a57)),x16831)+~P7(a57,f9(a57,f2(a57),f3(a57)),f31(f31(f8(a57),x16831),x16832))
% 21.27/21.37 [745]~P1(x7451)+E(f31(f15(x7451,f2(f61(x7451))),x7452),f2(x7451))
% 21.27/21.37 [746]~P48(x7461)+E(f31(f15(x7461,f3(f61(x7461))),x7462),f3(x7461))
% 21.27/21.37 [747]~P23(x7471)+E(f31(f17(x7471,f2(f61(x7471))),x7472),f2(x7471))
% 21.27/21.37 [864]~P1(x8641)+E(f31(f31(f8(f61(x8641)),f2(f61(x8641))),x8642),f2(f61(x8641)))
% 21.27/21.37 [902]~P45(x9021)+E(f31(f31(f8(x9021),f7(x9021,f3(x9021))),x9022),f7(x9021,x9022))
% 21.27/21.37 [943]~P23(x9431)+E(f16(x9431,f21(x9431,x9432,f2(f61(x9431)))),f2(a57))
% 21.27/21.37 [1008]~E(f30(a57,f28(x10081)),x10081)+E(f28(f31(f31(f14(a60),x10081),x10082)),f31(f31(f14(a57),f28(x10081)),x10082))
% 21.27/21.37 [1466]E(x14661,f2(a60))+~E(f9(a60,f31(f31(f8(a60),x14662),x14662),f31(f31(f8(a60),x14661),x14661)),f2(a60))
% 21.27/21.37 [1467]E(x14671,f2(a60))+~E(f9(a60,f31(f31(f8(a60),x14671),x14671),f31(f31(f8(a60),x14672),x14672)),f2(a60))
% 21.27/21.37 [1468]~P48(x14681)+E(f9(x14681,x14682,x14682),f31(f31(f8(x14681),f9(x14681,f3(x14681),f3(x14681))),x14682))
% 21.27/21.38 [1515]~P4(x15151)+E(f24(x15151,f29(x15151,f31(f17(x15151,x15152),f16(x15151,x15152))),x15152),f25(x15151,x15152,f2(f61(x15151))))
% 21.27/21.38 [1631]~P8(a60,f2(a60),x16312)+E(f11(f9(a57,x16311,f3(a57)),f31(f31(f14(a60),x16312),f9(a57,x16311,f3(a57)))),x16312)
% 21.27/21.38 [1760]~P7(a60,f2(a60),x17602)+P7(a60,f9(a60,f31(f31(f8(a60),f30(a57,x17601)),x17602),f3(a60)),f31(f31(f14(a60),f9(a60,x17602,f3(a60))),x17601))
% 21.27/21.38 [828]~P48(x8281)+E(f9(x8281,x8282,x8283),f9(x8281,x8283,x8282))
% 21.27/21.38 [829]~P4(x8291)+E(f25(x8291,x8292,x8293),f25(x8291,x8293,x8292))
% 21.27/21.38 [879]P7(a57,x8791,x8792)+~E(x8792,f9(a57,x8791,x8793))
% 21.27/21.38 [947]E(x9471,x9472)+~E(f9(a57,x9473,x9471),f9(a57,x9473,x9472))
% 21.27/21.38 [948]E(x9481,x9482)+~E(f9(a57,x9481,x9483),f9(a57,x9482,x9483))
% 21.27/21.38 [970]~P4(x9701)+P10(f61(x9701),f25(x9701,x9702,x9703),x9703)
% 21.27/21.38 [971]~P4(x9711)+P10(f61(x9711),f25(x9711,x9712,x9713),x9712)
% 21.27/21.38 [1149]~P7(a57,x11491,x11493)+P7(a57,x11491,f9(a57,x11492,x11493))
% 21.27/21.38 [1151]~P7(a57,x11511,x11512)+P7(a57,x11511,f9(a57,x11512,x11513))
% 21.27/21.38 [1153]~P8(a57,x11531,x11533)+P8(a57,x11531,f9(a57,x11532,x11533))
% 21.27/21.38 [1155]~P8(a57,x11551,x11552)+P8(a57,x11551,f9(a57,x11552,x11553))
% 21.27/21.38 [1298]P7(a57,x12981,x12982)+~P7(a57,f9(a57,x12983,x12981),x12982)
% 21.27/21.38 [1299]P7(a57,x12991,x12992)+~P7(a57,f9(a57,x12991,x12993),x12992)
% 21.27/21.38 [1300]P8(a57,x13001,x13002)+~P8(a57,f9(a57,x13001,x13003),x13002)
% 21.27/21.38 [1397]~P7(a57,x13972,x13973)+P7(a57,f9(a57,x13971,x13972),f9(a57,x13971,x13973))
% 21.27/21.38 [1398]~P7(a57,x13981,x13983)+P7(a57,f9(a57,x13981,x13982),f9(a57,x13983,x13982))
% 21.27/21.38 [1399]~P7(a60,x13992,x13993)+P7(a60,f9(a60,x13991,x13992),f9(a60,x13991,x13993))
% 21.27/21.38 [1400]~P7(a58,x14002,x14003)+P7(a58,f9(a58,x14001,x14002),f9(a58,x14001,x14003))
% 21.27/21.38 [1401]~P8(a57,x14012,x14013)+P8(a57,f9(a57,x14011,x14012),f9(a57,x14011,x14013))
% 21.27/21.38 [1402]~P8(a57,x14021,x14023)+P8(a57,f9(a57,x14021,x14022),f9(a57,x14023,x14022))
% 21.27/21.38 [1403]~P8(a58,x14031,x14033)+P8(a58,f9(a58,x14031,x14032),f9(a58,x14033,x14032))
% 21.27/21.38 [1588]P7(a57,x15881,x15882)+~P7(a57,f9(a57,x15883,x15881),f9(a57,x15883,x15882))
% 21.27/21.38 [1589]P8(a57,x15891,x15892)+~P8(a57,f9(a57,x15893,x15891),f9(a57,x15893,x15892))
% 21.27/21.38 [888]~P1(x8881)+E(f16(x8881,f6(x8881,x8882,x8883)),f16(x8881,x8882))
% 21.27/21.38 [1042]~P30(x10421)+E(f9(x10421,f7(x10421,x10422),f9(x10421,x10422,x10423)),x10423)
% 21.27/21.38 [1068]~P23(x10681)+E(f12(x10681,x10682,f17(x10681,x10683)),f17(x10681,f21(x10681,x10682,x10683)))
% 21.27/21.38 [1078]~P46(x10781)+E(f7(f61(x10781),f24(x10781,x10782,x10783)),f24(x10781,f7(x10781,x10782),x10783))
% 21.27/21.38 [1079]~P14(x10791)+E(f7(f61(x10791),f19(x10791,x10792,x10793)),f19(x10791,f7(x10791,x10792),x10793))
% 21.27/21.38 [1105]~P5(x11051)+E(f5(x11051,f9(x11051,x11052,x11053),x11053),f5(x11051,x11052,x11053))
% 21.27/21.38 [1106]~P5(x11061)+E(f5(x11061,f9(x11061,x11062,x11063),x11062),f5(x11061,x11063,x11062))
% 21.27/21.38 [1107]~P5(x11071)+E(f5(x11071,f5(x11071,x11072,x11073),x11073),f5(x11071,x11072,x11073))
% 21.27/21.38 [1125]~P30(x11251)+E(f9(x11251,f7(x11251,x11252),f7(x11251,x11253)),f7(x11251,f9(x11251,x11253,x11252)))
% 21.27/21.38 [1126]~P14(x11261)+E(f9(x11261,f7(x11261,x11262),f7(x11261,x11263)),f7(x11261,f9(x11261,x11262,x11263)))
% 21.27/21.38 [1215]~P23(x12151)+E(f31(f17(x12151,f21(x12151,x12152,x12153)),f2(a57)),x12152)
% 21.27/21.38 [1293]~P23(x12931)+P7(a57,f16(x12931,f19(x12931,x12932,x12933)),x12933)
% 21.27/21.38 [1307]P8(a57,x13071,x13072)+~E(x13072,f9(a57,f9(a57,x13071,x13073),f3(a57)))
% 21.27/21.38 [1357]~P1(x13571)+P7(a57,f16(x13571,f24(x13571,x13572,x13573)),f16(x13571,x13573))
% 21.27/21.38 [1587]~P23(x15871)+P7(a57,f16(x15871,f21(x15871,x15872,x15873)),f9(a57,f16(x15871,x15873),f3(a57)))
% 21.27/21.38 [1659]~P1(x16591)+P7(a57,f16(x16591,f20(x16591,x16592,x16593)),f31(f31(f8(a57),f16(x16591,x16592)),f16(x16591,x16593)))
% 21.27/21.38 [1797]~P47(x17971)+P10(f61(x17971),f31(f31(f14(f61(x17971)),f21(x17971,f7(x17971,x17972),f21(x17971,f3(x17971),f2(f61(x17971))))),f22(x17971,x17972,x17973)),x17973)
% 21.27/21.38 [788]~E(x7882,f2(a57))+E(f31(f31(f8(a57),x7881),x7882),f31(f31(f8(a57),x7883),x7882))
% 21.27/21.38 [790]~E(x7901,f2(a57))+E(f31(f31(f8(a57),x7901),x7902),f31(f31(f8(a57),x7901),x7903))
% 21.27/21.38 [818]~P48(x8181)+E(f31(f31(f8(x8181),x8182),x8183),f31(f31(f8(x8181),x8183),x8182))
% 21.27/21.38 [926]~P4(x9261)+E(f25(x9261,x9262,f7(f61(x9261),x9263)),f25(x9261,x9262,x9263))
% 21.27/21.38 [927]~P4(x9271)+E(f25(x9271,f7(f61(x9271),x9272),x9273),f25(x9271,x9272,x9273))
% 21.27/21.38 [938]~P48(x9381)+P10(x9381,x9382,f31(f31(f8(x9381),x9383),x9382))
% 21.27/21.38 [939]~P48(x9391)+P10(x9391,x9392,f31(f31(f8(x9391),x9392),x9393))
% 21.27/21.38 [940]~P4(x9401)+E(f5(f61(x9401),x9402,f7(f61(x9401),x9403)),f5(f61(x9401),x9402,x9403))
% 21.27/21.38 [1019]~P69(x10191)+E(f31(f31(f8(x10191),f7(x10191,x10192)),x10193),f31(f31(f8(x10191),x10192),f7(x10191,x10193)))
% 21.27/21.38 [1020]~P69(x10201)+E(f31(f31(f8(x10201),f7(x10201,x10202)),f7(x10201,x10203)),f31(f31(f8(x10201),x10202),x10203))
% 21.27/21.38 [1102]~P30(x11021)+E(f9(x11021,x11022,f9(x11021,f7(x11021,x11022),x11023)),x11023)
% 21.27/21.38 [1113]~P46(x11131)+E(f24(x11131,x11132,f7(f61(x11131),x11133)),f7(f61(x11131),f24(x11131,x11132,x11133)))
% 21.27/21.38 [1124]~P23(x11241)+E(f18(x11241,f12(x11241,x11242,f17(x11241,x11243))),f21(x11241,x11242,x11243))
% 21.27/21.38 [1143]~E(x11431,f2(a57))+P10(a57,f31(f31(f8(a57),x11431),x11432),f31(f31(f8(a57),x11431),x11433))
% 21.27/21.38 [1161]~P4(x11611)+E(f5(f61(x11611),f7(f61(x11611),x11612),x11613),f7(f61(x11611),f5(f61(x11611),x11612,x11613)))
% 21.27/21.38 [1184]~P14(x11841)+E(f21(x11841,f7(x11841,x11842),f7(f61(x11841),x11843)),f7(f61(x11841),f21(x11841,x11842,x11843)))
% 21.27/21.38 [1274]P8(a57,f2(a57),x12741)+P7(a57,f31(f31(f8(a57),x12742),x12741),f31(f31(f8(a57),x12743),x12741))
% 21.27/21.38 [1275]P8(a57,f2(a57),x12751)+P7(a57,f31(f31(f8(a57),x12751),x12752),f31(f31(f8(a57),x12751),x12753))
% 21.27/21.38 [1331]~P7(a57,x13312,x13313)+P7(a57,f31(f31(f8(a57),x13311),x13312),f31(f31(f8(a57),x13311),x13313))
% 21.27/21.38 [1333]~P7(a57,x13331,x13333)+P7(a57,f31(f31(f8(a57),x13331),x13332),f31(f31(f8(a57),x13333),x13332))
% 21.27/21.38 [1334]~P10(a57,x13342,x13343)+P10(a57,f31(f31(f8(a57),x13341),x13342),f31(f31(f8(a57),x13341),x13343))
% 21.27/21.38 [1387]~P23(x13871)+E(f21(x13871,f2(x13871),f19(x13871,x13872,x13873)),f19(x13871,x13872,f9(a57,x13873,f3(a57))))
% 21.27/21.38 [1470]~P6(x14701)+E(f5(x14701,f7(x14701,f5(x14701,x14702,x14703)),x14703),f5(x14701,f7(x14701,x14702),x14703))
% 21.27/21.38 [1516]P8(a57,x15161,x15162)+~P8(a57,f31(f31(f8(a57),x15163),x15161),f31(f31(f8(a57),x15163),x15162))
% 21.27/21.38 [1517]P8(a57,x15171,x15172)+~P8(a57,f31(f31(f8(a57),x15171),x15173),f31(f31(f8(a57),x15172),x15173))
% 21.27/21.38 [1521]P8(a57,f2(a57),x15211)+~P8(a57,f31(f31(f8(a57),x15212),x15211),f31(f31(f8(a57),x15213),x15211))
% 21.27/21.38 [1522]P8(a57,f2(a57),x15221)+~P8(a57,f31(f31(f8(a57),x15221),x15222),f31(f31(f8(a57),x15221),x15223))
% 21.27/21.38 [1697]~P1(x16971)+E(f21(x16971,f31(f15(x16971,x16972),x16973),f27(x16971,x16972,x16973)),f9(f61(x16971),x16972,f24(x16971,x16973,f27(x16971,x16972,x16973))))
% 21.27/21.38 [1751]~P1(x17511)+E(f31(f17(x17511,f31(f31(f8(f61(x17511)),x17512),x17513)),f9(a57,f16(x17511,x17512),f16(x17511,x17513))),f31(f31(f8(x17511),f31(f17(x17511,x17512),f16(x17511,x17512))),f31(f17(x17511,x17513),f16(x17511,x17513))))
% 21.27/21.38 [945]~P5(x9451)+E(f5(x9451,f31(f31(f8(x9451),x9452),x9453),x9453),f2(x9451))
% 21.27/21.38 [946]~P5(x9461)+E(f5(x9461,f31(f31(f8(x9461),x9462),x9463),x9462),f2(x9461))
% 21.27/21.38 [1051]~P69(x10511)+E(f31(f31(f8(x10511),x10512),f7(x10511,x10513)),f7(x10511,f31(f31(f8(x10511),x10512),x10513)))
% 21.27/21.38 [1053]~P43(x10531)+E(f31(f31(f8(x10531),x10532),f7(x10531,x10533)),f7(x10531,f31(f31(f8(x10531),x10532),x10533)))
% 21.27/21.38 [1077]~P41(x10771)+E(f31(f31(f8(x10771),x10772),f31(f31(f8(x10771),x10772),x10773)),f31(f31(f8(x10771),x10772),x10773))
% 21.27/21.38 [1089]~P46(x10891)+E(f31(f15(x10891,f7(f61(x10891),x10892)),x10893),f7(x10891,f31(f15(x10891,x10892),x10893)))
% 21.27/21.38 [1090]~P14(x10901)+E(f31(f17(x10901,f7(f61(x10901),x10902)),x10903),f7(x10901,f31(f17(x10901,x10902),x10903)))
% 21.27/21.38 [1114]~P69(x11141)+E(f31(f31(f8(x11141),f7(x11141,x11142)),x11143),f7(x11141,f31(f31(f8(x11141),x11142),x11143)))
% 21.27/21.38 [1115]~P51(x11151)+E(f31(f31(f14(x11151),f29(x11151,x11152)),x11153),f29(x11151,f31(f31(f14(x11151),x11152),x11153)))
% 21.27/21.38 [1117]~P43(x11171)+E(f31(f31(f8(x11171),f7(x11171,x11172)),x11173),f7(x11171,f31(f31(f8(x11171),x11172),x11173)))
% 21.27/21.38 [1188]~P16(x11881)+E(f31(f31(f8(x11881),f29(x11881,x11882)),f29(x11881,x11883)),f29(x11881,f31(f31(f8(x11881),x11882),x11883)))
% 21.27/21.38 [1260]~P1(x12601)+E(f6(x12601,f21(x12601,x12602,f2(f61(x12601))),x12603),f21(x12601,x12602,f2(f61(x12601))))
% 21.27/21.38 [1279]~P8(a57,f2(a57),x12791)+E(f31(f31(f14(a60),f11(x12791,x12792)),x12793),f11(x12791,f31(f31(f14(a60),x12792),x12793)))
% 21.27/21.38 [1329]~P8(a57,f2(a57),x13291)+E(f31(f31(f8(a60),f11(x13291,x13292)),f11(x13291,x13293)),f11(x13291,f31(f31(f8(a60),x13292),x13293)))
% 21.27/21.38 [1345]~P48(x13451)+E(f31(f31(f8(x13451),x13452),f31(f31(f14(x13451),x13452),x13453)),f31(f31(f14(x13451),x13452),f9(a57,x13453,f3(a57))))
% 21.27/21.38 [1346]~P44(x13461)+E(f31(f31(f8(x13461),x13462),f31(f31(f14(x13461),x13462),x13463)),f31(f31(f14(x13461),x13462),f9(a57,x13463,f3(a57))))
% 21.27/21.38 [1520]~P10(a58,x15201,x15202)+P10(a58,x15201,f9(a58,x15202,f31(f31(f8(a58),x15201),x15203)))
% 21.27/21.38 [1579]~P48(x15791)+E(f9(x15791,x15792,f31(f31(f8(x15791),x15793),x15792)),f31(f31(f8(x15791),f9(x15791,x15793,f3(x15791))),x15792))
% 21.27/21.38 [1580]~P48(x15801)+E(f9(x15801,f31(f31(f8(x15801),x15802),x15803),x15803),f31(f31(f8(x15801),f9(x15801,x15802,f3(x15801))),x15803))
% 21.27/21.38 [1686]P10(a58,x16861,x16862)+~P10(a58,x16861,f9(a58,x16862,f31(f31(f8(a58),x16861),x16863)))
% 21.27/21.38 [1687]~P55(x16871)+P7(x16871,f2(x16871),f9(x16871,f31(f31(f8(x16871),x16872),x16872),f31(f31(f8(x16871),x16873),x16873)))
% 21.27/21.38 [1724]~P71(x17241)+E(f31(f31(f8(x17241),f31(f31(f14(x17241),f7(x17241,f3(x17241))),x17242)),f31(f31(f14(x17241),x17243),x17242)),f31(f31(f14(x17241),f7(x17241,x17243)),x17242))
% 21.27/21.38 [1732]E(x17321,x17322)+~E(f31(f31(f8(a57),f9(a57,x17323,f3(a57))),x17321),f31(f31(f8(a57),f9(a57,x17323,f3(a57))),x17322))
% 21.27/21.38 [1737]~P55(x17371)+~P8(x17371,f9(x17371,f31(f31(f8(x17371),x17372),x17372),f31(f31(f8(x17371),x17373),x17373)),f2(x17371))
% 21.27/21.38 [1762]~P8(a57,x17622,x17623)+P8(a57,f31(f31(f8(a57),f9(a57,x17621,f3(a57))),x17622),f31(f31(f8(a57),f9(a57,x17621,f3(a57))),x17623))
% 21.27/21.38 [1786]P7(a57,x17861,x17862)+~P7(a57,f31(f31(f8(a57),f9(a57,x17863,f3(a57))),x17861),f31(f31(f8(a57),f9(a57,x17863,f3(a57))),x17862))
% 21.27/21.38 [1799]~P45(x17991)+E(f9(f61(x17991),f31(f31(f8(f61(x17991)),f21(x17991,f7(x17991,x17992),f21(x17991,f3(x17991),f2(f61(x17991))))),f27(x17991,x17993,x17992)),f21(x17991,f31(f15(x17991,x17993),x17992),f2(f61(x17991)))),x17993)
% 21.27/21.38 [1513]~P31(x15131)+E(f31(f31(f8(x15131),f31(f31(f14(x15131),x15132),x15133)),x15132),f31(f31(f8(x15131),x15132),f31(f31(f14(x15131),x15132),x15133)))
% 21.27/21.38 [1533]~P31(x15331)+E(f31(f31(f8(x15331),f31(f31(f14(x15331),x15332),x15333)),x15332),f31(f31(f14(x15331),x15332),f9(a57,x15333,f3(a57))))
% 21.27/21.38 [1534]~P48(x15341)+E(f31(f31(f8(x15341),f31(f31(f14(x15341),x15342),x15343)),x15342),f31(f31(f14(x15341),x15342),f9(a57,x15343,f3(a57))))
% 21.27/21.38 [1685]~P48(x16851)+P7(a57,f16(x16851,f31(f31(f14(f61(x16851)),x16852),x16853)),f31(f31(f8(a57),f16(x16851,x16852)),x16853))
% 21.27/21.38 [1690]~P1(x16901)+P7(a57,f16(x16901,f31(f31(f8(f61(x16901)),x16902),x16903)),f9(a57,f16(x16901,x16902),f16(x16901,x16903)))
% 21.27/21.38 [1788]~P48(x17881)+E(f16(x17881,f31(f31(f14(f61(x17881)),f21(x17881,x17882,f21(x17881,f3(x17881),f2(f61(x17881))))),x17883)),x17883)
% 21.27/21.38 [1803]~P48(x18031)+E(f31(f17(x18031,f31(f31(f14(f61(x18031)),f21(x18031,x18032,f21(x18031,f3(x18031),f2(f61(x18031))))),x18033)),x18033),f3(x18031))
% 21.27/21.38 [1364]~P48(x13641)+E(f9(x13641,x13642,f9(x13641,x13643,x13644)),f9(x13641,x13643,f9(x13641,x13642,x13644)))
% 21.27/21.38 [1365]~P4(x13651)+E(f25(x13651,x13652,f25(x13651,x13653,x13654)),f25(x13651,x13653,f25(x13651,x13652,x13654)))
% 21.27/21.38 [1367]~P48(x13671)+E(f9(x13671,f9(x13671,x13672,x13673),x13674),f9(x13671,x13672,f9(x13671,x13673,x13674)))
% 21.27/21.38 [1368]~P3(x13681)+E(f9(x13681,f9(x13681,x13682,x13683),x13684),f9(x13681,x13682,f9(x13681,x13683,x13684)))
% 21.27/21.38 [1369]~P4(x13691)+E(f25(x13691,f25(x13691,x13692,x13693),x13694),f25(x13691,x13692,f25(x13691,x13693,x13694)))
% 21.27/21.38 [1370]~P48(x13701)+E(f9(x13701,f9(x13701,x13702,x13703),x13704),f9(x13701,f9(x13701,x13702,x13704),x13703))
% 21.27/21.38 [1501]~P1(x15011)+E(f27(x15011,f21(x15011,x15012,x15013),x15014),f21(x15011,f31(f15(x15011,x15013),x15014),f27(x15011,x15013,x15014)))
% 21.27/21.38 [1542]~P1(x15421)+E(f21(x15421,f31(f31(f8(x15421),x15422),x15423),f24(x15421,x15422,x15424)),f24(x15421,x15422,f21(x15421,x15423,x15424)))
% 21.27/21.38 [1547]~P1(x15471)+E(f9(f61(x15471),f24(x15471,x15472,x15473),f24(x15471,x15474,x15473)),f24(x15471,f9(x15471,x15472,x15474),x15473))
% 21.27/21.38 [1548]~P22(x15481)+E(f9(f61(x15481),f19(x15481,x15482,x15483),f19(x15481,x15484,x15483)),f19(x15481,f9(x15481,x15482,x15484),x15483))
% 21.27/21.38 [880]~P35(x8802)+E(f31(f7(f63(x8801,x8802),x8803),x8804),f7(x8802,f31(x8803,x8804)))
% 21.27/21.38 [1469]~P1(x14691)+E(f31(f15(x14691,x14692),f31(f15(x14691,x14693),x14694)),f31(f15(x14691,f20(x14691,x14692,x14693)),x14694))
% 21.27/21.38 [1479]~P1(x14791)+E(f31(f31(f8(x14791),x14792),f31(f15(x14791,x14793),x14794)),f31(f15(x14791,f24(x14791,x14792,x14793)),x14794))
% 21.27/21.38 [1480]~P1(x14801)+E(f31(f31(f8(x14801),x14802),f31(f17(x14801,x14803),x14804)),f31(f17(x14801,f24(x14801,x14802,x14803)),x14804))
% 21.27/21.38 [1500]~P1(x15001)+E(f31(f15(x15001,f6(x15001,x15002,x15003)),x15004),f31(f15(x15001,x15002),f9(x15001,x15003,x15004)))
% 21.27/21.38 [1505]~P23(x15051)+E(f31(f17(x15051,f21(x15051,x15052,x15053)),f9(a57,x15054,f3(a57))),f31(f17(x15051,x15053),x15054))
% 21.27/21.38 [1582]~P1(x15821)+E(f9(f61(x15821),f24(x15821,x15822,x15823),f24(x15821,x15822,x15824)),f24(x15821,x15822,f9(f61(x15821),x15823,x15824)))
% 21.27/21.38 [1655]~P5(x16551)+E(f5(x16551,f9(x16551,x16552,f5(x16551,x16553,x16554)),x16554),f5(x16551,f9(x16551,x16552,x16553),x16554))
% 21.27/21.38 [1656]~P5(x16561)+E(f5(x16561,f9(x16561,f5(x16561,x16562,x16563),x16564),x16563),f5(x16561,f9(x16561,x16562,x16564),x16563))
% 21.27/21.38 [1718]~P1(x17181)+E(f9(f61(x17181),f21(x17181,x17182,f2(f61(x17181))),f31(f31(f8(f61(x17181)),x17183),f20(x17181,x17184,x17183))),f20(x17181,f21(x17181,x17182,x17184),x17183))
% 21.27/21.38 [1720]~P5(x17201)+E(f5(x17201,f9(x17201,f5(x17201,x17202,x17203),f5(x17201,x17204,x17203)),x17203),f5(x17201,f9(x17201,x17202,x17204),x17203))
% 21.27/21.38 [1734]~P1(x17341)+E(f9(f61(x17341),f24(x17341,x17342,f6(x17341,x17343,x17342)),f21(x17341,x17344,f6(x17341,x17343,x17342))),f6(x17341,f21(x17341,x17344,x17343),x17342))
% 21.27/21.38 [1328]~P48(x13281)+E(f31(f31(f8(x13281),x13282),f31(f31(f8(x13281),x13283),x13284)),f31(f31(f8(x13281),x13283),f31(f31(f8(x13281),x13282),x13284)))
% 21.27/21.38 [1351]~P1(x13511)+E(f19(x13511,f31(f31(f8(x13511),x13512),x13513),x13514),f24(x13511,x13512,f19(x13511,x13513,x13514)))
% 21.27/21.38 [1352]~P1(x13521)+E(f24(x13521,f31(f31(f8(x13521),x13522),x13523),x13524),f24(x13521,x13522,f24(x13521,x13523,x13524)))
% 21.27/21.38 [1507]~P48(x15071)+E(f31(f31(f8(x15071),x15072),f31(f31(f14(x15071),x15073),x15074)),f31(f15(x15071,f19(x15071,x15072,x15074)),x15073))
% 21.27/21.38 [1530]~P48(x15301)+E(f9(x15301,f31(f31(f8(x15301),x15302),x15303),f31(f31(f8(x15301),x15302),x15304)),f31(f31(f8(x15301),x15302),f9(x15301,x15303,x15304)))
% 21.27/21.38 [1532]~P43(x15321)+E(f9(x15321,f31(f31(f8(x15321),x15322),x15323),f31(f31(f8(x15321),x15322),x15324)),f31(f31(f8(x15321),x15322),f9(x15321,x15323,x15324)))
% 21.27/21.38 [1610]~P1(x16101)+E(f9(x16101,f31(f15(x16101,x16102),x16103),f31(f15(x16101,x16104),x16103)),f31(f15(x16101,f9(f61(x16101),x16102,x16104)),x16103))
% 21.27/21.38 [1611]~P22(x16111)+E(f9(x16111,f31(f17(x16111,x16112),x16113),f31(f17(x16111,x16114),x16113)),f31(f17(x16111,f9(f61(x16111),x16112,x16114)),x16113))
% 21.27/21.38 [1629]~P31(x16291)+E(f31(f31(f8(x16291),f31(f31(f14(x16291),x16292),x16293)),f31(f31(f14(x16291),x16292),x16294)),f31(f31(f14(x16291),x16292),f9(a57,x16293,x16294)))
% 21.27/21.38 [1630]~P48(x16301)+E(f31(f31(f8(x16301),f31(f31(f14(x16301),x16302),x16303)),f31(f31(f14(x16301),x16302),x16304)),f31(f31(f14(x16301),x16302),f9(a57,x16303,x16304)))
% 21.27/21.38 [1642]~P42(x16421)+E(f9(x16421,f31(f31(f8(x16421),x16422),x16423),f31(f31(f8(x16421),x16424),x16423)),f31(f31(f8(x16421),f9(x16421,x16422,x16424)),x16423))
% 21.27/21.38 [1644]~P43(x16441)+E(f9(x16441,f31(f31(f8(x16441),x16442),x16443),f31(f31(f8(x16441),x16444),x16443)),f31(f31(f8(x16441),f9(x16441,x16442,x16444)),x16443))
% 21.27/21.38 [1645]~P48(x16451)+E(f9(x16451,f31(f31(f8(x16451),x16452),x16453),f31(f31(f8(x16451),x16454),x16453)),f31(f31(f8(x16451),f9(x16451,x16452,x16454)),x16453))
% 21.27/21.38 [1646]~P5(x16461)+E(f5(x16461,f31(f31(f8(x16461),x16462),f5(x16461,x16463,x16464)),x16464),f5(x16461,f31(f31(f8(x16461),x16462),x16463),x16464))
% 21.27/21.38 [1678]~P1(x16781)+E(f9(x16781,x16782,f31(f31(f8(x16781),x16783),f31(f15(x16781,x16784),x16783))),f31(f15(x16781,f21(x16781,x16782,x16784)),x16783))
% 21.27/21.38 [1719]~P5(x17191)+E(f5(x17191,f31(f31(f8(x17191),f5(x17191,x17192,x17193)),x17194),x17193),f5(x17191,f31(f31(f8(x17191),x17192),x17194),x17193))
% 21.27/21.38 [1749]~P5(x17491)+E(f5(x17491,f31(f31(f8(x17491),f5(x17491,x17492,x17493)),f5(x17491,x17494,x17493)),x17493),f5(x17491,f31(f31(f8(x17491),x17492),x17494),x17493))
% 21.27/21.38 [1481]~P1(x14811)+E(f24(x14811,x14812,f31(f31(f8(f61(x14811)),x14813),x14814)),f31(f31(f8(f61(x14811)),x14813),f24(x14811,x14812,x14814)))
% 21.27/21.38 [1498]~P48(x14981)+E(f31(f31(f14(x14981),f31(f31(f14(x14981),x14982),x14983)),x14984),f31(f31(f14(x14981),x14982),f31(f31(f8(a57),x14983),x14984)))
% 21.27/21.38 [1499]~P31(x14991)+E(f31(f31(f14(x14991),f31(f31(f14(x14991),x14992),x14993)),x14994),f31(f31(f14(x14991),x14992),f31(f31(f8(a57),x14993),x14994)))
% 21.27/21.38 [1511]~P48(x15111)+E(f31(f31(f8(x15111),f31(f31(f8(x15111),x15112),x15113)),x15114),f31(f31(f8(x15111),x15112),f31(f31(f8(x15111),x15113),x15114)))
% 21.27/21.38 [1512]~P20(x15121)+E(f31(f31(f8(x15121),f31(f31(f8(x15121),x15122),x15123)),x15124),f31(f31(f8(x15121),x15122),f31(f31(f8(x15121),x15123),x15124)))
% 21.27/21.38 [1537]~P5(x15371)+E(f5(x15371,f9(x15371,x15372,f31(f31(f8(x15371),x15373),x15374)),x15374),f5(x15371,x15372,x15374))
% 21.27/21.38 [1538]~P5(x15381)+E(f5(x15381,f9(x15381,x15382,f31(f31(f8(x15381),x15383),x15384)),x15383),f5(x15381,x15382,x15383))
% 21.27/21.38 [1612]~P1(x16121)+E(f24(x16121,x16122,f31(f31(f8(f61(x16121)),x16123),x16124)),f31(f31(f8(f61(x16121)),f24(x16121,x16122,x16123)),x16124))
% 21.27/21.38 [1628]~P48(x16281)+E(f31(f31(f8(x16281),f31(f31(f8(x16281),x16282),x16283)),x16284),f31(f31(f8(x16281),f31(f31(f8(x16281),x16282),x16284)),x16283))
% 21.27/21.38 [1695]~P48(x16951)+E(f31(f31(f8(x16951),f31(f31(f14(x16951),x16952),x16953)),f31(f31(f14(x16951),x16954),x16953)),f31(f31(f14(x16951),f31(f31(f8(x16951),x16952),x16954)),x16953))
% 21.27/21.38 [1696]~P29(x16961)+E(f31(f31(f8(x16961),f31(f31(f14(x16961),x16962),x16963)),f31(f31(f14(x16961),x16964),x16963)),f31(f31(f14(x16961),f31(f31(f8(x16961),x16962),x16964)),x16963))
% 21.27/21.38 [1712]~P1(x17121)+E(f9(f61(x17121),f31(f31(f8(f61(x17121)),x17122),x17123),f31(f31(f8(f61(x17121)),x17124),x17123)),f31(f31(f8(f61(x17121)),f9(f61(x17121),x17122,x17124)),x17123))
% 21.27/21.38 [1660]~P48(x16601)+E(f31(f15(x16601,f31(f31(f14(f61(x16601)),x16602),x16603)),x16604),f31(f31(f14(x16601),f31(f15(x16601,x16602),x16604)),x16603))
% 21.27/21.38 [1705]~P1(x17051)+E(f31(f31(f8(x17051),f31(f15(x17051,x17052),x17053)),f31(f15(x17051,x17054),x17053)),f31(f15(x17051,f31(f31(f8(f61(x17051)),x17052),x17054)),x17053))
% 21.27/21.38 [1725]~P1(x17251)+E(f9(f61(x17251),f24(x17251,x17252,x17253),f21(x17251,f2(x17251),f31(f31(f8(f61(x17251)),x17253),x17254))),f31(f31(f8(f61(x17251)),x17253),f21(x17251,x17252,x17254)))
% 21.27/21.38 [1736]~P1(x17361)+E(f9(f61(x17361),f24(x17361,x17362,x17363),f21(x17361,f2(x17361),f31(f31(f8(f61(x17361)),x17364),x17363))),f31(f31(f8(f61(x17361)),f21(x17361,x17362,x17364)),x17363))
% 21.27/21.38 [1657]~P48(x16571)+E(f9(x16571,f9(x16571,x16572,x16573),f9(x16571,x16574,x16575)),f9(x16571,f9(x16571,x16572,x16574),f9(x16571,x16573,x16575)))
% 21.27/21.38 [1708]~P1(x17081)+E(f31(f31(f8(f61(x17081)),f19(x17081,x17082,x17083)),f19(x17081,x17084,x17085)),f19(x17081,f31(f31(f8(x17081),x17082),x17084),f9(a57,x17083,x17085)))
% 21.27/21.38 [1661]~P22(x16611)+E(f21(x16611,f9(x16611,x16612,x16613),f9(f61(x16611),x16614,x16615)),f9(f61(x16611),f21(x16611,x16612,x16614),f21(x16611,x16613,x16615)))
% 21.27/21.38 [1380]~P9(x13805,x13801)+E(f31(f31(x13801,f31(f31(x13801,x13802),x13803)),x13804),f31(f31(x13801,x13802),f31(f31(x13801,x13803),x13804)))
% 21.27/21.38 [1717]~P48(x17171)+E(f31(f31(f8(x17171),f31(f31(f8(x17171),x17172),x17173)),f31(f31(f8(x17171),x17174),x17175)),f31(f31(f8(x17171),f31(f31(f8(x17171),x17172),x17174)),f31(f31(f8(x17171),x17173),x17175)))
% 21.27/21.38 [1758]~P72(x17581)+E(f9(x17581,f31(f31(f8(x17581),x17582),x17583),f9(x17581,f31(f31(f8(x17581),x17584),x17583),x17585)),f9(x17581,f31(f31(f8(x17581),f9(x17581,x17582,x17584)),x17583),x17585))
% 21.27/21.38 [1812]~P23(x18125)+E(f31(f31(f31(x18121,x18122),x18123),f13(x18124,f33(x18123,f2(f61(x18125))),x18126,f26(x18124,x18125,x18126,x18121,x18123))),f26(x18124,x18125,x18126,x18121,f21(x18125,x18122,x18123)))
% 21.27/21.38 [1713]E(x17131,f2(a57))+E(x17131,f9(a57,f2(a57),f3(a57)))+~P8(a57,x17131,f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57)))
% 21.27/21.38 [1381]~E(f16(a1,x13811),f16(a1,a64))+P75(a500)+~E(f31(f15(a1,x13811),f49(x13811)),f31(f15(a1,a64),f9(a1,a65,f49(x13811))))
% 21.27/21.38 [812]E(x8121,x8122)+P8(a57,x8122,x8121)+P8(a57,x8121,x8122)
% 21.27/21.38 [813]E(x8131,x8132)+P8(a58,x8132,x8131)+P8(a58,x8131,x8132)
% 21.27/21.38 [884]E(x8841,x8842)+P8(a57,x8841,x8842)+~P7(a57,x8841,x8842)
% 21.27/21.38 [886]E(x8861,x8862)+P8(a60,x8861,x8862)+~P7(a60,x8861,x8862)
% 21.27/21.38 [887]E(x8871,x8872)+P8(a58,x8871,x8872)+~P7(a58,x8871,x8872)
% 21.27/21.38 [952]E(x9521,x9522)+~P7(a57,x9522,x9521)+~P7(a57,x9521,x9522)
% 21.27/21.38 [953]E(x9531,x9532)+~P7(a60,x9532,x9531)+~P7(a60,x9531,x9532)
% 21.27/21.38 [954]E(x9541,x9542)+~P7(a58,x9542,x9541)+~P7(a58,x9541,x9542)
% 21.27/21.38 [963]E(x9631,x9632)+~P10(a57,x9632,x9631)+~P10(a57,x9631,x9632)
% 21.27/21.38 [604]~P28(x6041)+~E(x6042,f2(x6041))+E(f7(x6041,x6042),x6042)
% 21.27/21.38 [609]~P30(x6091)+~E(f2(x6091),x6092)+E(f7(x6091,x6092),f2(x6091))
% 21.27/21.38 [610]~P30(x6101)+~E(x6102,f2(x6101))+E(f7(x6101,x6102),f2(x6101))
% 21.27/21.38 [611]~P51(x6111)+~E(x6112,f2(x6111))+E(f29(x6111,x6112),f2(x6111))
% 21.27/21.38 [612]~P16(x6121)+~E(x6122,f3(x6121))+E(f29(x6121,x6122),f3(x6121))
% 21.27/21.38 [615]~P28(x6152)+~E(f7(x6152,x6151),x6151)+E(x6151,f2(x6152))
% 21.27/21.38 [621]~P30(x6212)+~E(f7(x6212,x6211),f2(x6212))+E(x6211,f2(x6212))
% 21.27/21.38 [623]~P50(x6232)+~E(f29(x6232,x6231),f2(x6232))+E(x6231,f2(x6232))
% 21.27/21.38 [624]~P51(x6242)+~E(f29(x6242,x6241),f2(x6242))+E(x6241,f2(x6242))
% 21.27/21.38 [625]~P16(x6252)+~E(f29(x6252,x6251),f3(x6252))+E(x6251,f3(x6252))
% 21.27/21.38 [626]~P30(x6261)+~E(f7(x6261,x6262),f2(x6261))+E(f2(x6261),x6262)
% 21.27/21.38 [684]~E(x6842,f2(a57))+~E(x6841,f2(a57))+E(f9(a57,x6841,x6842),f2(a57))
% 21.27/21.38 [713]~P28(x7131)+~E(x7132,f2(x7131))+E(f9(x7131,x7132,x7132),f2(x7131))
% 21.27/21.38 [799]~P28(x7992)+~E(f9(x7992,x7991,x7991),f2(x7992))+E(x7991,f2(x7992))
% 21.27/21.38 [807]~P48(x8072)+~P10(x8072,f2(x8072),x8071)+E(x8071,f2(x8072))
% 21.27/21.38 [816]~E(x8162,f2(a60))+E(f11(x8161,x8162),f2(a60))+~P8(a57,f2(a57),x8161)
% 21.27/21.38 [817]~E(x8172,f3(a60))+E(f11(x8171,x8172),f3(a60))+~P8(a57,f2(a57),x8171)
% 21.27/21.38 [837]E(x8371,f2(a60))+~E(f11(x8372,x8371),f2(a60))+~P8(a57,f2(a57),x8372)
% 21.27/21.38 [838]E(x8381,f3(a60))+~E(f11(x8382,x8381),f3(a60))+~P8(a57,f2(a57),x8382)
% 21.27/21.38 [859]~P37(x8591)+P13(x8591,x8592)+P7(a57,f34(x8592,x8591),f46(x8592,x8591))
% 21.27/21.38 [1011]~P28(x10111)+~P7(x10111,x10112,f2(x10111))+P7(x10111,x10112,f7(x10111,x10112))
% 21.27/21.38 [1012]~P52(x10121)+~P8(x10121,x10122,f2(x10121))+P8(x10121,x10122,f7(x10121,x10122))
% 21.27/21.38 [1013]~P28(x10131)+~P7(x10131,f2(x10131),x10132)+P7(x10131,f7(x10131,x10132),x10132)
% 21.27/21.38 [1014]~P28(x10141)+~P8(x10141,f2(x10141),x10142)+P8(x10141,f7(x10141,x10142),x10142)
% 21.27/21.38 [1022]~P33(x10221)+~P7(x10221,x10222,f2(x10221))+P7(x10221,f2(x10221),f7(x10221,x10222))
% 21.27/21.38 [1023]~P33(x10231)+~P8(x10231,x10232,f2(x10231))+P8(x10231,f2(x10231),f7(x10231,x10232))
% 21.27/21.38 [1024]~P15(x10241)+~P7(x10241,f2(x10241),x10242)+P7(x10241,f2(x10241),f29(x10241,x10242))
% 21.27/21.38 [1025]~P15(x10251)+~P8(x10251,f2(x10251),x10252)+P8(x10251,f2(x10251),f29(x10251,x10252))
% 21.27/21.38 [1026]~P17(x10261)+~P8(x10261,f2(x10261),x10262)+P8(x10261,f2(x10261),f29(x10261,x10262))
% 21.27/21.38 [1027]~P15(x10271)+~P7(x10271,x10272,f2(x10271))+P7(x10271,f29(x10271,x10272),f2(x10271))
% 21.27/21.38 [1028]~P15(x10281)+~P7(x10281,x10282,f2(x10281))+P7(x10281,f29(x10281,x10282),f3(x10281))
% 21.27/21.38 [1029]~P15(x10291)+~P8(x10291,x10292,f2(x10291))+P8(x10291,f29(x10291,x10292),f2(x10291))
% 21.27/21.38 [1030]~P17(x10301)+~P8(x10301,x10302,f2(x10301))+P8(x10301,f29(x10301,x10302),f2(x10301))
% 21.27/21.38 [1031]~P15(x10311)+~P7(x10311,x10312,f2(x10311))+P8(x10311,f29(x10311,x10312),f3(x10311))
% 21.27/21.38 [1032]~P33(x10321)+~P7(x10321,f2(x10321),x10322)+P7(x10321,f7(x10321,x10322),f2(x10321))
% 21.27/21.38 [1033]~P15(x10331)+~P7(x10331,f3(x10331),x10332)+P7(x10331,f29(x10331,x10332),f3(x10331))
% 21.27/21.38 [1034]~P33(x10341)+~P8(x10341,f2(x10341),x10342)+P8(x10341,f7(x10341,x10342),f2(x10341))
% 21.27/21.38 [1035]~P15(x10351)+~P8(x10351,f3(x10351),x10352)+P8(x10351,f29(x10351,x10352),f3(x10351))
% 21.27/21.38 [1038]~P28(x10381)+~P7(x10381,x10382,f7(x10381,x10382))+P7(x10381,x10382,f2(x10381))
% 21.27/21.38 [1039]~P52(x10391)+~P8(x10391,x10392,f7(x10391,x10392))+P8(x10391,x10392,f2(x10391))
% 21.27/21.38 [1040]~P28(x10401)+~P7(x10401,f7(x10401,x10402),x10402)+P7(x10401,f2(x10401),x10402)
% 21.27/21.38 [1041]~P28(x10411)+~P8(x10411,f7(x10411,x10412),x10412)+P8(x10411,f2(x10411),x10412)
% 21.27/21.38 [1056]~P33(x10561)+~P7(x10561,f2(x10561),f7(x10561,x10562))+P7(x10561,x10562,f2(x10561))
% 21.27/21.38 [1057]~P15(x10571)+~P7(x10571,f3(x10571),f29(x10571,x10572))+P7(x10571,x10572,f3(x10571))
% 21.27/21.38 [1058]~P33(x10581)+~P8(x10581,f2(x10581),f7(x10581,x10582))+P8(x10581,x10582,f2(x10581))
% 21.27/21.38 [1059]~P15(x10591)+~P8(x10591,f3(x10591),f29(x10591,x10592))+P8(x10591,x10592,f3(x10591))
% 21.27/21.38 [1060]~P15(x10601)+~P7(x10601,f29(x10601,x10602),f2(x10601))+P7(x10601,x10602,f2(x10601))
% 21.27/21.38 [1061]~P15(x10611)+~P8(x10611,f29(x10611,x10612),f2(x10611))+P8(x10611,x10612,f2(x10611))
% 21.27/21.38 [1062]~P15(x10621)+~P7(x10621,f2(x10621),f29(x10621,x10622))+P7(x10621,f2(x10621),x10622)
% 21.27/21.38 [1063]~P15(x10631)+~P7(x10631,f3(x10631),f29(x10631,x10632))+P8(x10631,f2(x10631),x10632)
% 21.27/21.38 [1064]~P15(x10641)+~P8(x10641,f2(x10641),f29(x10641,x10642))+P8(x10641,f2(x10641),x10642)
% 21.27/21.38 [1065]~P15(x10651)+~P8(x10651,f3(x10651),f29(x10651,x10652))+P8(x10651,f2(x10651),x10652)
% 21.27/21.38 [1066]~P33(x10661)+~P7(x10661,f7(x10661,x10662),f2(x10661))+P7(x10661,f2(x10661),x10662)
% 21.27/21.38 [1067]~P33(x10671)+~P8(x10671,f7(x10671,x10672),f2(x10671))+P8(x10671,f2(x10671),x10672)
% 21.27/21.38 [1111]~P10(a57,x11111,x11112)+P7(a57,x11111,x11112)+~P8(a57,f2(a57),x11112)
% 21.27/21.38 [1112]~P10(a58,x11121,x11122)+P7(a58,x11121,x11122)+~P8(a58,f2(a58),x11122)
% 21.27/21.38 [1118]~P10(a57,x11181,x11182)+~P8(a57,f2(a57),x11182)+P8(a57,f2(a57),x11181)
% 21.27/21.38 [1190]~P10(a57,x11902,x11901)+~P8(a57,x11901,x11902)+~P8(a57,f2(a57),x11901)
% 21.27/21.38 [1191]~P10(a58,x11912,x11911)+~P8(a58,x11911,x11912)+~P8(a58,f2(a58),x11911)
% 21.27/21.38 [1194]~P7(a57,f10(x11941),x11942)+P7(a60,x11941,f30(a57,x11942))+~P7(a60,f2(a60),x11941)
% 21.27/21.38 [1195]~P7(a57,x11951,f28(x11952))+P7(a60,f30(a57,x11951),x11952)+~P7(a60,f2(a60),x11952)
% 21.27/21.38 [1197]~P7(a60,f2(a60),x11972)+~P8(a57,f2(a57),x11971)+P7(a60,f2(a60),f11(x11971,x11972))
% 21.27/21.38 [1198]~P8(a57,f2(a57),x11981)+~P8(a60,f2(a60),x11982)+P7(a60,f2(a60),f11(x11981,x11982))
% 21.27/21.38 [1199]~P7(a60,f3(a60),x11992)+~P8(a57,f2(a57),x11991)+P7(a60,f3(a60),f11(x11991,x11992))
% 21.27/21.38 [1201]~P8(a57,f2(a57),x12011)+~P8(a60,f2(a60),x12012)+P8(a60,f2(a60),f11(x12011,x12012))
% 21.27/21.38 [1202]~P8(a57,f2(a57),x12022)+~P8(a60,f2(a60),x12021)+P8(a60,f2(a60),f43(x12021,x12022))
% 21.27/21.38 [1203]~P8(a57,f2(a57),x12032)+~P8(a60,f2(a60),x12031)+P8(a60,f2(a60),f44(x12031,x12032))
% 21.27/21.38 [1204]~P8(a57,f2(a57),x12041)+~P8(a60,f3(a60),x12042)+P8(a60,f3(a60),f11(x12041,x12042))
% 21.27/21.38 [1205]~P7(a60,x12052,f2(a60))+~P8(a57,f2(a57),x12051)+P7(a60,f11(x12051,x12052),f2(a60))
% 21.27/21.38 [1206]~P7(a60,x12062,f3(a60))+~P8(a57,f2(a57),x12061)+P7(a60,f11(x12061,x12062),f3(a60))
% 21.27/21.38 [1207]~P8(a60,x12072,f2(a60))+~P8(a57,f2(a57),x12071)+P8(a60,f11(x12071,x12072),f2(a60))
% 21.27/21.38 [1208]~P8(a60,x12082,f3(a60))+~P8(a57,f2(a57),x12081)+P8(a60,f11(x12081,x12082),f3(a60))
% 21.27/21.38 [1226]P8(a57,f28(x12261),x12262)+~P8(a60,x12261,f30(a57,x12262))+~P7(a60,f2(a60),x12261)
% 21.27/21.38 [1229]~P28(x12291)+~P7(x12291,f2(x12291),x12292)+P7(x12291,f2(x12291),f9(x12291,x12292,x12292))
% 21.27/21.38 [1230]~P28(x12301)+~P8(x12301,f2(x12301),x12302)+P8(x12301,f2(x12301),f9(x12301,x12302,x12302))
% 21.27/21.38 [1231]~P28(x12311)+~P7(x12311,x12312,f2(x12311))+P7(x12311,f9(x12311,x12312,x12312),f2(x12311))
% 21.27/21.38 [1232]~P52(x12321)+~P8(x12321,x12322,f2(x12321))+P8(x12321,f9(x12321,x12322,x12322),f2(x12321))
% 21.27/21.38 [1233]~P28(x12331)+~P8(x12331,x12332,f2(x12331))+P8(x12331,f9(x12331,x12332,x12332),f2(x12331))
% 21.27/21.38 [1237]~P7(a60,f11(x12372,x12371),f2(a60))+P7(a60,x12371,f2(a60))+~P8(a57,f2(a57),x12372)
% 21.27/21.38 [1238]~P7(a60,f11(x12382,x12381),f3(a60))+P7(a60,x12381,f3(a60))+~P8(a57,f2(a57),x12382)
% 21.27/21.38 [1239]~P8(a60,f11(x12392,x12391),f2(a60))+P8(a60,x12391,f2(a60))+~P8(a57,f2(a57),x12392)
% 21.27/21.38 [1240]~P8(a60,f11(x12402,x12401),f3(a60))+P8(a60,x12401,f3(a60))+~P8(a57,f2(a57),x12402)
% 21.27/21.38 [1241]~P7(a60,f2(a60),f11(x12412,x12411))+P7(a60,f2(a60),x12411)+~P8(a57,f2(a57),x12412)
% 21.27/21.38 [1242]~P7(a60,f3(a60),f11(x12422,x12421))+P7(a60,f3(a60),x12421)+~P8(a57,f2(a57),x12422)
% 21.27/21.38 [1243]~P8(a60,f2(a60),f11(x12432,x12431))+P8(a60,f2(a60),x12431)+~P8(a57,f2(a57),x12432)
% 21.27/21.38 [1244]~P8(a60,f3(a60),f11(x12442,x12441))+P8(a60,f3(a60),x12441)+~P8(a57,f2(a57),x12442)
% 21.27/21.38 [1372]~P28(x13721)+~P7(x13721,f9(x13721,x13722,x13722),f2(x13721))+P7(x13721,x13722,f2(x13721))
% 21.27/21.38 [1373]~P52(x13731)+~P8(x13731,f9(x13731,x13732,x13732),f2(x13731))+P8(x13731,x13732,f2(x13731))
% 21.27/21.38 [1374]~P28(x13741)+~P8(x13741,f9(x13741,x13742,x13742),f2(x13741))+P8(x13741,x13742,f2(x13741))
% 21.27/21.38 [1375]~P28(x13751)+~P7(x13751,f2(x13751),f9(x13751,x13752,x13752))+P7(x13751,f2(x13751),x13752)
% 21.27/21.38 [1376]~P28(x13761)+~P8(x13761,f2(x13761),f9(x13761,x13762,x13762))+P8(x13761,f2(x13761),x13762)
% 21.27/21.38 [1386]~P7(a58,f2(a58),x13862)+~P7(a58,f2(a58),x13861)+P7(a58,f2(a58),f9(a58,x13861,x13862))
% 21.27/21.38 [1449]P8(a57,f2(a57),x14491)+P8(a57,f2(a57),x14492)+~P8(a57,f2(a57),f9(a57,x14492,x14491))
% 21.27/21.38 [629]~P23(x6291)+E(f4(x6291,x6292),f2(a57))+~E(x6292,f2(f61(x6291)))
% 21.27/21.38 [632]~P23(x6322)+~E(f4(x6322,x6321),f2(a57))+E(x6321,f2(f61(x6322)))
% 21.27/21.38 [642]~P50(x6422)+E(x6421,f2(x6422))+E(f29(x6422,f29(x6422,x6421)),x6421)
% 21.27/21.38 [769]~P50(x7692)+E(x7691,f2(x7692))+E(f29(x7692,f7(x7692,x7691)),f7(x7692,f29(x7692,x7691)))
% 21.27/21.38 [773]~P50(x7732)+E(x7731,f2(x7732))+E(f31(f31(f8(x7732),x7731),f29(x7732,x7731)),f3(x7732))
% 21.27/21.38 [774]~P23(x7741)+~E(x7742,f2(f61(x7741)))+E(f31(f17(x7741,x7742),f16(x7741,x7742)),f2(x7741))
% 21.27/21.38 [824]~P23(x8242)+E(x8241,f2(f61(x8242)))+E(f9(a57,f16(x8242,x8241),f3(a57)),f4(x8242,x8241))
% 21.27/21.38 [863]~P23(x8632)+~E(f31(f17(x8632,x8631),f16(x8632,x8631)),f2(x8632))+E(x8631,f2(f61(x8632)))
% 21.27/21.38 [933]P8(a57,f36(x9332,x9331),x9332)+~P76(f31(x9331,x9332))+P76(f31(x9331,f2(a57)))
% 21.27/21.38 [1009]E(x10091,f2(a57))+E(x10092,f2(a57))+~E(f9(a57,x10092,x10091),f9(a57,f2(a57),f3(a57)))
% 21.27/21.38 [1010]E(x10101,f2(a57))+E(x10102,f2(a57))+~E(f9(a57,f2(a57),f3(a57)),f9(a57,x10102,x10101))
% 21.27/21.38 [1073]~E(x10732,f2(a57))+~E(x10731,f9(a57,f2(a57),f3(a57)))+E(f9(a57,x10731,x10732),f9(a57,f2(a57),f3(a57)))
% 21.27/21.38 [1074]~E(x10741,f2(a57))+~E(x10742,f9(a57,f2(a57),f3(a57)))+E(f9(a57,x10741,x10742),f9(a57,f2(a57),f3(a57)))
% 21.27/21.38 [1075]~E(x10752,f2(a57))+~E(x10751,f9(a57,f2(a57),f3(a57)))+E(f9(a57,f2(a57),f3(a57)),f9(a57,x10751,x10752))
% 21.27/21.38 [1076]~E(x10761,f2(a57))+~E(x10762,f9(a57,f2(a57),f3(a57)))+E(f9(a57,f2(a57),f3(a57)),f9(a57,x10761,x10762))
% 21.27/21.38 [1096]~P52(x10961)+~P11(x10961,x10962)+P8(x10961,f2(x10961),f31(f17(x10961,x10962),f16(x10961,x10962)))
% 21.27/21.38 [1144]E(x11441,f2(a57))+E(x11441,f9(a57,f2(a57),f3(a57)))+~E(f9(a57,x11442,x11441),f9(a57,f2(a57),f3(a57)))
% 21.27/21.38 [1145]E(x11451,f2(a57))+E(x11451,f9(a57,f2(a57),f3(a57)))+~E(f9(a57,x11451,x11452),f9(a57,f2(a57),f3(a57)))
% 21.27/21.38 [1146]E(x11461,f2(a57))+E(x11461,f9(a57,f2(a57),f3(a57)))+~E(f9(a57,f2(a57),f3(a57)),f9(a57,x11462,x11461))
% 21.27/21.38 [1147]E(x11471,f2(a57))+E(x11471,f9(a57,f2(a57),f3(a57)))+~E(f9(a57,f2(a57),f3(a57)),f9(a57,x11471,x11472))
% 21.27/21.38 [1291]E(x12911,f9(a57,f2(a57),f3(a57)))+E(x12912,f9(a57,f2(a57),f3(a57)))+~E(f9(a57,x12911,x12912),f9(a57,f2(a57),f3(a57)))
% 21.27/21.38 [1292]E(x12921,f9(a57,f2(a57),f3(a57)))+E(x12922,f9(a57,f2(a57),f3(a57)))+~E(f9(a57,f2(a57),f3(a57)),f9(a57,x12921,x12922))
% 21.27/21.38 [1304]~P8(a57,x13041,x13042)+P8(a57,f9(a57,x13041,f3(a57)),x13042)+E(f9(a57,x13041,f3(a57)),x13042)
% 21.27/21.38 [1324]E(x13241,x13242)+P8(a57,x13241,x13242)+~P8(a57,x13241,f9(a57,x13242,f3(a57)))
% 21.27/21.38 [1325]E(x13251,x13252)+P8(a58,x13251,x13252)+~P8(a58,x13251,f9(a58,x13252,f3(a58)))
% 21.27/21.38 [1342]~P52(x13421)+P11(x13421,x13422)+~P8(x13421,f2(x13421),f31(f17(x13421,x13422),f16(x13421,x13422)))
% 21.27/21.38 [1389]P8(a57,f56(x13892,x13891),x13892)+E(x13891,f2(a57))+~P8(a57,x13891,f9(a57,x13892,f3(a57)))
% 21.27/21.38 [1395]E(x13951,x13952)+~P7(a57,x13952,x13951)+~P8(a57,x13951,f9(a57,x13952,f3(a57)))
% 21.27/21.38 [1396]E(x13961,f2(a57))+~P8(a57,x13961,f9(a57,x13962,f3(a57)))+E(f9(a57,f56(x13962,x13961),f3(a57)),x13961)
% 21.27/21.38 [1412]~P37(x14121)+P13(x14121,x14122)+~P7(x14121,f31(x14122,f46(x14122,x14121)),f31(x14122,f34(x14122,x14121)))
% 21.27/21.38 [1464]P7(a57,x14641,x14642)+~P7(a57,x14641,f9(a57,x14642,f3(a57)))+E(x14641,f9(a57,x14642,f3(a57)))
% 21.27/21.38 [1578]E(f28(x15781),x15782)+~P7(a60,f30(a57,x15782),x15781)+~P8(a60,x15781,f9(a60,f30(a57,x15782),f3(a60)))
% 21.27/21.38 [1613]~P8(a60,f30(a57,x16132),x16131)+~P7(a60,x16131,f9(a60,f30(a57,x16132),f3(a60)))+E(f10(x16131),f9(a57,x16132,f3(a57)))
% 21.27/21.38 [665]~E(x6652,f3(a57))+~E(x6651,f3(a57))+E(f31(f31(f8(a57),x6651),x6652),f3(a57))
% 21.27/21.38 [705]~P70(x7051)+~E(x7052,f3(x7051))+E(f31(f31(f8(x7051),x7052),x7052),f3(x7051))
% 21.27/21.38 [729]E(x7291,f3(a57))+E(x7292,f2(a57))+~E(f31(f31(f8(a57),x7292),x7291),x7292)
% 21.27/21.38 [731]E(x7311,f2(a57))+E(x7312,f2(a57))+~E(f31(f31(f8(a57),x7312),x7311),f2(a57))
% 21.27/21.38 [786]~P70(x7861)+~E(x7862,f7(x7861,f3(x7861)))+E(f31(f31(f8(x7861),x7862),x7862),f3(x7861))
% 21.27/21.38 [851]~P4(x8512)+E(x8511,f2(x8512))+E(f31(f31(f8(x8512),f29(x8512,x8511)),x8511),f3(x8512))
% 21.27/21.38 [852]~P50(x8522)+E(x8521,f2(x8522))+E(f31(f31(f8(x8522),f29(x8522,x8521)),x8521),f3(x8522))
% 21.27/21.38 [950]E(x9501,f3(a58))+~P8(a58,f2(a58),x9502)+~E(f31(f31(f8(a58),x9502),x9501),f3(a58))
% 21.27/21.38 [951]E(x9511,f3(a58))+~P8(a58,f2(a58),x9511)+~E(f31(f31(f8(a58),x9511),x9512),f3(a58))
% 21.27/21.38 [1037]~P44(x10371)+~P74(x10371)+E(f31(f31(f14(x10371),f2(x10371)),f9(a57,x10372,f3(a57))),f2(x10371))
% 21.27/21.38 [1119]E(x11191,f2(a57))+E(x11192,f9(a57,f2(a57),f3(a57)))+~E(f31(f31(f14(a57),x11192),x11191),f9(a57,f2(a57),f3(a57)))
% 21.27/21.38 [1141]~E(x11412,f3(a57))+~P8(a57,f2(a57),x11411)+P10(a57,f31(f31(f8(a57),x11411),x11412),x11411)
% 21.27/21.38 [1142]~E(x11421,f3(a57))+~P8(a57,f2(a57),x11422)+P10(a57,f31(f31(f8(a57),x11421),x11422),x11422)
% 21.27/21.38 [1252]~P7(a60,f2(a60),x12522)+~P8(a57,f2(a57),x12521)+E(f31(f31(f14(a60),f11(x12521,x12522)),x12521),x12522)
% 21.27/21.38 [1253]~P8(a57,f2(a57),x12531)+~P8(a60,f2(a60),x12532)+E(f31(f31(f14(a60),f11(x12531,x12532)),x12531),x12532)
% 21.27/21.38 [1254]~P8(a57,f2(a57),x12542)+~P8(a60,f2(a60),x12541)+E(f31(f31(f14(a60),f43(x12541,x12542)),x12542),x12541)
% 21.27/21.38 [1255]~P8(a57,f2(a57),x12552)+~P8(a60,f2(a60),x12551)+E(f31(f31(f14(a60),f44(x12551,x12552)),x12552),x12551)
% 21.27/21.38 [1277]E(x12771,f2(a57))+P8(a57,f2(a57),x12772)+~P8(a57,f2(a57),f31(f31(f14(a57),x12772),x12771))
% 21.27/21.38 [1282]~E(x12822,f9(a57,f2(a57),f3(a57)))+~E(x12821,f9(a57,f2(a57),f3(a57)))+E(f31(f31(f8(a57),x12821),x12822),f9(a57,f2(a57),f3(a57)))
% 21.27/21.38 [1335]E(x13351,f3(a57))+~P8(a57,f2(a57),x13352)+~P10(a57,f31(f31(f8(a57),x13352),x13351),x13352)
% 21.27/21.38 [1336]E(x13361,f3(a57))+~P8(a57,f2(a57),x13362)+~P10(a57,f31(f31(f8(a57),x13361),x13362),x13362)
% 21.27/21.38 [1348]~P7(a58,f2(a58),x13482)+~P7(a58,f2(a58),x13481)+P7(a58,f2(a58),f31(f31(f8(a58),x13481),x13482))
% 21.27/21.38 [1349]~P8(a57,f2(a57),x13492)+~P8(a57,f2(a57),x13491)+P8(a57,f2(a57),f31(f31(f8(a57),x13491),x13492))
% 21.27/21.38 [1350]~P8(a60,f2(a60),x13502)+~P8(a60,f2(a60),x13501)+P8(a60,f2(a60),f31(f31(f8(a60),x13501),x13502))
% 21.27/21.38 [1545]~P76(f31(x15451,x15452))+P76(f31(x15451,f2(a57)))+P76(f31(x15451,f9(a57,f36(x15452,x15451),f3(a57))))
% 21.27/21.38 [1710]~P8(a57,f9(a57,f2(a57),f3(a57)),x17102)+~P8(a57,f9(a57,f2(a57),f3(a57)),x17101)+P8(a57,x17101,f31(f31(f8(a57),x17102),x17101))
% 21.27/21.38 [1711]~P8(a57,f9(a57,f2(a57),f3(a57)),x17112)+~P8(a57,f9(a57,f2(a57),f3(a57)),x17111)+P8(a57,x17111,f31(f31(f8(a57),x17111),x17112))
% 21.27/21.38 [1726]~P7(a57,f9(a57,f2(a57),f3(a57)),x17262)+~P7(a57,f9(a57,f2(a57),f3(a57)),x17261)+P7(a57,f9(a57,f2(a57),f3(a57)),f31(f31(f8(a57),x17261),x17262))
% 21.27/21.38 [1727]~P8(a57,f9(a57,f2(a57),f3(a57)),x17271)+~P8(a57,f9(a57,f2(a57),f3(a57)),x17272)+P8(a57,f9(a57,f2(a57),f3(a57)),f31(f31(f8(a57),x17271),x17272))
% 21.27/21.38 [766]~P48(x7662)+E(x7661,f2(a57))+E(f31(f17(x7662,f3(f61(x7662))),x7661),f2(x7662))
% 21.27/21.38 [771]~P48(x7711)+~E(x7712,f2(a57))+E(f31(f17(x7711,f3(f61(x7711))),x7712),f3(x7711))
% 21.27/21.38 [1177]~E(x11772,f2(a60))+~E(x11771,f2(a60))+E(f9(a60,f31(f31(f8(a60),x11771),x11771),f31(f31(f8(a60),x11772),x11772)),f2(a60))
% 21.27/21.38 [1265]~P7(a60,f2(a60),x12652)+~P8(a57,f2(a57),x12651)+E(f11(x12651,f31(f31(f14(a60),x12652),x12651)),x12652)
% 21.27/21.38 [1658]~P7(a60,f2(a60),x16582)+~P7(a60,f2(a60),x16581)+P7(a57,f31(f31(f8(a57),f28(x16581)),f28(x16582)),f28(f31(f31(f8(a60),x16581),x16582)))
% 21.27/21.38 [1694]~P7(a60,f2(a60),x16941)+~P8(a60,f2(a60),x16942)+P7(a60,f31(f31(f8(a60),f30(a57,f45(x16941,x16942))),x16942),x16941)
% 21.27/21.38 [1783]~P7(a60,f2(a60),x17831)+~P8(a60,f2(a60),x17832)+P8(a60,x17831,f31(f31(f8(a60),f30(a57,f9(a57,f45(x17831,x17832),f3(a57)))),x17832))
% 21.27/21.38 [675]~E(x6752,x6753)+~P36(x6751)+P7(x6751,x6752,x6753)
% 21.27/21.38 [677]~E(x6772,x6773)+~P37(x6771)+P7(x6771,x6772,x6773)
% 21.27/21.38 [784]~P8(x7843,x7841,x7842)+~E(x7841,x7842)+~P37(x7843)
% 21.27/21.38 [785]~P8(x7853,x7851,x7852)+~E(x7851,x7852)+~P39(x7853)
% 21.27/21.38 [831]P7(x8311,x8313,x8312)+~P39(x8311)+P7(x8311,x8312,x8313)
% 21.27/21.38 [836]P8(x8361,x8363,x8362)+~P39(x8361)+P7(x8361,x8362,x8363)
% 21.27/21.38 [895]~P36(x8951)+~P8(x8951,x8952,x8953)+P7(x8951,x8952,x8953)
% 21.27/21.38 [897]~P37(x8971)+~P8(x8971,x8972,x8973)+P7(x8971,x8972,x8973)
% 21.27/21.38 [981]~P8(x9811,x9813,x9812)+~P36(x9811)+~P7(x9811,x9812,x9813)
% 21.27/21.38 [985]~P8(x9851,x9853,x9852)+~P36(x9851)+~P8(x9851,x9852,x9853)
% 21.27/21.38 [986]~P8(x9861,x9863,x9862)+~P37(x9861)+~P8(x9861,x9862,x9863)
% 21.27/21.38 [989]~P8(x9891,x9893,x9892)+~P39(x9891)+~P7(x9891,x9892,x9893)
% 21.27/21.38 [990]~P8(x9901,x9903,x9902)+~P39(x9901)+~P8(x9901,x9902,x9903)
% 21.27/21.38 [1098]~P7(a57,x10981,x10983)+P7(a57,x10981,x10982)+~P7(a57,x10983,x10982)
% 21.27/21.38 [1099]~P7(a60,x10991,x10993)+P7(a60,x10991,x10992)+~P7(a60,x10993,x10992)
% 21.27/21.38 [1100]~P7(a58,x11001,x11003)+P7(a58,x11001,x11002)+~P7(a58,x11003,x11002)
% 21.27/21.38 [1101]~P10(a57,x11011,x11013)+P10(a57,x11011,x11012)+~P10(a57,x11013,x11012)
% 21.27/21.38 [634]~P30(x6342)+~E(x6343,f7(x6342,x6341))+E(x6341,f7(x6342,x6343))
% 21.27/21.38 [636]~P30(x6361)+~E(f7(x6361,x6363),x6362)+E(f7(x6361,x6362),x6363)
% 21.27/21.38 [643]~P23(x6433)+E(x6431,x6432)+~E(f17(x6433,x6431),f17(x6433,x6432))
% 21.27/21.38 [644]~P30(x6443)+E(x6441,x6442)+~E(f7(x6443,x6441),f7(x6443,x6442))
% 21.27/21.38 [645]~P40(x6453)+E(x6451,x6452)+~E(f7(x6453,x6451),f7(x6453,x6452))
% 21.27/21.38 [647]~P51(x6473)+E(x6471,x6472)+~E(f29(x6473,x6471),f29(x6473,x6472))
% 21.27/21.38 [700]~P54(x7001)+~E(x7003,f2(x7001))+E(f9(x7001,x7002,x7003),x7002)
% 21.27/21.38 [750]~P30(x7501)+~E(x7503,f7(x7501,x7502))+E(f9(x7501,x7502,x7503),f2(x7501))
% 21.27/21.38 [751]~P30(x7511)+~E(x7512,f7(x7511,x7513))+E(f9(x7511,x7512,x7513),f2(x7511))
% 21.27/21.38 [795]~P54(x7952)+~E(f9(x7952,x7953,x7951),x7953)+E(x7951,f2(x7952))
% 21.27/21.38 [825]~P30(x8252)+~E(f9(x8252,x8253,x8251),f2(x8252))+E(x8251,f7(x8252,x8253))
% 21.27/21.38 [826]~P30(x8262)+~E(f9(x8262,x8261,x8263),f2(x8262))+E(x8261,f7(x8262,x8263))
% 21.27/21.38 [827]~P30(x8271)+~E(f9(x8271,x8272,x8273),f2(x8271))+E(f7(x8271,x8272),x8273)
% 21.27/21.38 [867]E(x8671,x8672)+~E(f11(x8673,x8671),f11(x8673,x8672))+~P8(a57,f2(a57),x8673)
% 21.27/21.38 [920]~P52(x9201)+~P11(x9201,x9203)+P11(x9201,f21(x9201,x9202,x9203))
% 21.27/21.38 [923]~P5(x9231)+~P10(x9231,x9233,x9232)+E(f5(x9231,x9232,x9233),f2(x9231))
% 21.27/21.38 [928]~P5(x9281)+P10(x9281,x9282,x9283)+~E(f5(x9281,x9283,x9282),f2(x9281))
% 21.27/21.38 [968]~P45(x9681)+~P10(x9681,x9682,x9683)+P10(x9681,x9682,f7(x9681,x9683))
% 21.27/21.38 [969]~P45(x9691)+~P10(x9691,x9692,x9693)+P10(x9691,f7(x9691,x9692),x9693)
% 21.27/21.38 [1017]~P45(x10171)+P10(x10171,x10172,x10173)+~P10(x10171,x10172,f7(x10171,x10173))
% 21.27/21.38 [1018]~P45(x10181)+P10(x10181,x10182,x10183)+~P10(x10181,f7(x10181,x10182),x10183)
% 21.27/21.38 [1046]~P33(x10461)+~P7(x10461,x10463,x10462)+P7(x10461,f7(x10461,x10462),f7(x10461,x10463))
% 21.27/21.38 [1048]~P40(x10481)+~P7(x10481,x10483,x10482)+P7(x10481,f7(x10481,x10482),f7(x10481,x10483))
% 21.27/21.38 [1049]~P33(x10491)+~P8(x10491,x10493,x10492)+P8(x10491,f7(x10491,x10492),f7(x10491,x10493))
% 21.27/21.38 [1081]~P33(x10811)+~P7(x10811,x10813,f7(x10811,x10812))+P7(x10811,x10812,f7(x10811,x10813))
% 21.27/21.38 [1083]~P33(x10831)+~P8(x10831,x10833,f7(x10831,x10832))+P8(x10831,x10832,f7(x10831,x10833))
% 21.27/21.38 [1085]~P33(x10851)+~P7(x10851,f7(x10851,x10853),x10852)+P7(x10851,f7(x10851,x10852),x10853)
% 21.27/21.38 [1087]~P33(x10871)+~P8(x10871,f7(x10871,x10873),x10872)+P8(x10871,f7(x10871,x10872),x10873)
% 21.27/21.38 [1120]~P33(x11201)+P7(x11201,x11202,x11203)+~P7(x11201,f7(x11201,x11203),f7(x11201,x11202))
% 21.27/21.38 [1121]~P40(x11211)+P7(x11211,x11212,x11213)+~P7(x11211,f7(x11211,x11213),f7(x11211,x11212))
% 21.27/21.38 [1122]~P33(x11221)+P8(x11221,x11222,x11223)+~P8(x11221,f7(x11221,x11223),f7(x11221,x11222))
% 21.27/21.38 [1163]~P23(x11631)+P8(a57,x11633,f37(x11632,x11633,x11631))+P7(a57,f16(x11631,x11632),x11633)
% 21.27/21.38 [1257]~P7(a60,x12572,x12573)+P7(a60,f11(x12571,x12572),f11(x12571,x12573))+~P8(a57,f2(a57),x12571)
% 21.27/21.38 [1259]~P8(a60,x12592,x12593)+P8(a60,f11(x12591,x12592),f11(x12591,x12593))+~P8(a57,f2(a57),x12591)
% 21.27/21.38 [1280]~P23(x12803)+~P8(a57,x12801,f16(x12803,x12802))+P8(a57,x12801,f38(x12802,x12801,x12803))
% 21.27/21.38 [1308]P7(a60,x13081,x13082)+~P7(a60,f11(x13083,x13081),f11(x13083,x13082))+~P8(a57,f2(a57),x13083)
% 21.27/21.38 [1309]P8(a60,x13091,x13092)+~P8(a60,f11(x13093,x13091),f11(x13093,x13092))+~P8(a57,f2(a57),x13093)
% 21.27/21.38 [695]~P47(x6951)+~E(x6952,f2(f61(x6951)))+E(f31(f15(x6951,x6952),x6953),f2(x6951))
% 21.27/21.38 [723]~P23(x7231)+~E(x7232,f2(x7231))+E(f19(x7231,x7232,x7233),f2(f61(x7231)))
% 21.27/21.38 [724]~P47(x7241)+~E(x7242,f2(x7241))+E(f24(x7241,x7242,x7243),f2(f61(x7241)))
% 21.27/21.38 [753]~P1(x7531)+~E(x7532,f2(f61(x7531)))+E(f6(x7531,x7532,x7533),f2(f61(x7531)))
% 21.27/21.38 [754]~P47(x7541)+~E(x7543,f2(f61(x7541)))+E(f24(x7541,x7542,x7543),f2(f61(x7541)))
% 21.27/21.38 [792]~P1(x7921)+~E(f16(x7921,x7922),f2(a57))+E(f27(x7921,x7922,x7923),f2(f61(x7921)))
% 21.27/21.38 [810]~P47(x8101)+E(f22(x8101,x8102,x8103),f2(a57))+E(f31(f15(x8101,x8103),x8102),f2(x8101))
% 21.27/21.38 [822]~P23(x8222)+E(x8221,f2(x8222))+~E(f19(x8222,x8221,x8223),f2(f61(x8222)))
% 21.27/21.38 [823]~P23(x8232)+E(x8231,f2(x8232))+~E(f21(x8232,x8231,x8233),f2(f61(x8232)))
% 21.27/21.38 [846]~P1(x8462)+~E(f6(x8462,x8461,x8463),f2(f61(x8462)))+E(x8461,f2(f61(x8462)))
% 21.27/21.38 [847]~P23(x8472)+~E(f21(x8472,x8473,x8471),f2(f61(x8472)))+E(x8471,f2(f61(x8472)))
% 21.27/21.38 [848]~P4(x8482)+~E(f25(x8482,x8483,x8481),f2(f61(x8482)))+E(x8481,f2(f61(x8482)))
% 21.27/21.38 [849]~P4(x8492)+~E(f25(x8492,x8491,x8493),f2(f61(x8492)))+E(x8491,f2(f61(x8492)))
% 21.27/21.38 [857]~P1(x8571)+E(f16(x8571,x8572),f2(a57))+~E(f27(x8571,x8572,x8573),f2(f61(x8571)))
% 21.27/21.38 [865]~P23(x8651)+P7(a57,x8653,f16(x8651,x8652))+E(f31(f17(x8651,x8652),x8653),f2(x8651))
% 21.27/21.38 [866]~P23(x8662)+E(x8661,f2(x8662))+E(f16(x8662,f19(x8662,x8661,x8663)),x8663)
% 21.27/21.38 [881]~P47(x8811)+~E(x8812,f2(x8811))+E(f16(x8811,f24(x8811,x8812,x8813)),f2(a57))
% 21.27/21.38 [893]~P47(x8932)+E(x8931,f2(x8932))+E(f16(x8932,f24(x8932,x8931,x8933)),f16(x8932,x8933))
% 21.27/21.38 [898]~P23(x8981)+~E(x8983,f2(f61(x8981)))+E(f16(x8981,f21(x8981,x8982,x8983)),f2(a57))
% 21.27/21.38 [973]~P23(x9731)+~P8(a57,f16(x9731,x9732),x9733)+E(f31(f17(x9731,x9732),x9733),f2(x9731))
% 21.27/21.38 [1055]~P47(x10552)+P7(a57,f22(x10552,x10553,x10551),f16(x10552,x10551))+E(x10551,f2(f61(x10552)))
% 21.27/21.38 [1104]~P23(x11042)+E(x11041,f2(f61(x11042)))+E(f16(x11042,f21(x11042,x11043,x11041)),f9(a57,f16(x11042,x11041),f3(a57)))
% 21.27/21.38 [1193]~P8(a57,f2(a57),x11932)+~P8(a57,f2(a57),x11931)+E(f11(x11931,f11(x11932,x11933)),f11(x11932,f11(x11931,x11933)))
% 21.27/21.38 [1347]~P23(x13471)+P7(a57,f16(x13471,x13472),x13473)+~E(f31(f17(x13471,x13472),f37(x13472,x13473,x13471)),f2(x13471))
% 21.27/21.38 [1371]~P8(a57,x13711,x13713)+~P8(a57,x13713,x13712)+P8(a57,f9(a57,x13711,f3(a57)),x13712)
% 21.27/21.38 [1382]~P8(a57,x13823,x13822)+P8(a57,x13821,f9(a57,x13822,f3(a57)))+~E(x13821,f9(a57,x13823,f3(a57)))
% 21.27/21.38 [1465]~P23(x14651)+~P8(a57,x14653,f16(x14651,x14652))+~E(f31(f17(x14651,x14652),f38(x14652,x14653,x14651)),f2(x14651))
% 21.27/21.38 [1593]~P23(x15933)+E(x15931,x15932)+~E(f31(f17(x15933,x15931),f52(x15932,x15931,x15933)),f31(f17(x15933,x15932),f52(x15932,x15931,x15933)))
% 21.27/21.38 [703]~P63(x7031)+~E(x7033,f2(x7031))+E(f31(f31(f8(x7031),x7032),x7033),f2(x7031))
% 21.27/21.38 [704]~P63(x7041)+~E(x7042,f2(x7041))+E(f31(f31(f8(x7041),x7042),x7043),f2(x7041))
% 21.27/21.38 [797]~P70(x7972)+E(x7971,f2(x7972))+~E(f31(f31(f14(x7972),x7971),x7973),f2(x7972))
% 21.27/21.38 [814]~P50(x8141)+E(f29(x8141,x8142),x8143)+~E(f31(f31(f8(x8141),x8142),x8143),f3(x8141))
% 21.27/21.38 [868]~P47(x8681)+~E(x8682,f7(x8681,x8683))+E(f31(f31(f8(x8681),x8682),x8682),f31(f31(f8(x8681),x8683),x8683))
% 21.27/21.38 [914]E(x9141,x9142)+E(x9143,f2(a57))+~E(f31(f31(f8(a57),x9143),x9141),f31(f31(f8(a57),x9143),x9142))
% 21.27/21.38 [915]E(x9151,x9152)+E(x9153,f2(a60))+~E(f31(f31(f8(a60),x9153),x9151),f31(f31(f8(a60),x9153),x9152))
% 21.27/21.38 [916]E(x9161,x9162)+E(x9163,f2(a57))+~E(f31(f31(f8(a57),x9161),x9163),f31(f31(f8(a57),x9162),x9163))
% 21.27/21.38 [917]E(x9171,x9172)+E(x9173,f2(a60))+~E(f31(f31(f8(a60),x9171),x9173),f31(f31(f8(a60),x9172),x9173))
% 21.27/21.38 [965]~P48(x9651)+~E(x9652,f3(x9651))+P10(x9651,x9652,f31(f31(f14(x9651),x9652),x9653))
% 21.27/21.38 [1139]E(x11391,x11392)+~P8(a57,f2(a57),x11393)+~E(f31(f31(f8(a57),x11393),x11391),f31(f31(f8(a57),x11393),x11392))
% 21.27/21.38 [1162]~P4(x11622)+E(x11621,f2(f61(x11622)))+E(f25(x11622,x11621,f5(f61(x11622),x11623,x11621)),f25(x11622,x11623,x11621))
% 21.27/21.38 [1186]~P48(x11861)+~P8(a57,f2(a57),x11863)+P10(x11861,x11862,f31(f31(f14(x11861),x11862),x11863))
% 21.27/21.38 [1219]~P59(x12191)+~P7(x12191,f2(x12191),x12192)+P7(x12191,f2(x12191),f31(f31(f14(x12191),x12192),x12193))
% 21.27/21.38 [1220]~P59(x12201)+~P7(x12201,f3(x12201),x12202)+P7(x12201,f3(x12201),f31(f31(f14(x12201),x12202),x12203))
% 21.27/21.38 [1221]~P59(x12211)+~P8(x12211,f2(x12211),x12212)+P8(x12211,f2(x12211),f31(f31(f14(x12211),x12212),x12213))
% 21.27/21.38 [1337]~P22(x13371)+~P8(a57,f16(x13371,x13373),f16(x13371,x13372))+E(f16(x13371,f9(f61(x13371),x13372,x13373)),f16(x13371,x13372))
% 21.27/21.38 [1338]~P22(x13381)+~P8(a57,f16(x13381,x13382),f16(x13381,x13383))+E(f16(x13381,f9(f61(x13381),x13382,x13383)),f16(x13381,x13383))
% 21.27/21.38 [1339]~P10(a57,x13392,x13393)+E(x13391,f2(a57))+P10(a57,f31(f31(f14(a57),x13392),x13391),f31(f31(f14(a57),x13393),x13391))
% 21.27/21.38 [1340]~P10(a58,x13402,x13403)+E(x13401,f2(a57))+P10(a58,f31(f31(f14(a58),x13402),x13401),f31(f31(f14(a58),x13403),x13401))
% 21.27/21.38 [1341]~P10(a58,x13412,x13413)+E(x13411,f2(a58))+P10(a58,f31(f31(f8(a58),x13411),x13412),f31(f31(f8(a58),x13411),x13413))
% 21.27/21.38 [1487]~P7(a60,x14872,x14873)+~P8(a60,f2(a60),x14871)+P7(a60,f31(f31(f8(a60),x14871),x14872),f31(f31(f8(a60),x14871),x14873))
% 21.27/21.38 [1488]~P7(a60,x14881,x14883)+~P8(a60,f2(a60),x14882)+P7(a60,f31(f31(f8(a60),x14881),x14882),f31(f31(f8(a60),x14883),x14882))
% 21.27/21.38 [1492]~P8(a57,x14921,x14923)+~P8(a57,f2(a57),x14922)+P8(a57,f31(f31(f8(a57),x14921),x14922),f31(f31(f8(a57),x14923),x14922))
% 21.27/21.38 [1493]~P8(a57,x14932,x14933)+~P8(a57,f2(a57),x14931)+P8(a57,f31(f31(f8(a57),x14931),x14932),f31(f31(f8(a57),x14931),x14933))
% 21.27/21.38 [1494]~P8(a60,x14941,x14943)+~P8(a60,f2(a60),x14942)+P8(a60,f31(f31(f8(a60),x14941),x14942),f31(f31(f8(a60),x14943),x14942))
% 21.27/21.38 [1495]~P8(a60,x14952,x14953)+~P8(a60,f2(a60),x14951)+P8(a60,f31(f31(f8(a60),x14951),x14952),f31(f31(f8(a60),x14951),x14953))
% 21.27/21.38 [1496]~P8(a58,x14962,x14963)+~P8(a58,f2(a58),x14961)+P8(a58,f31(f31(f8(a58),x14961),x14962),f31(f31(f8(a58),x14961),x14963))
% 21.27/21.38 [1524]P10(a57,x15242,x15243)+E(x15241,f2(a57))+~P10(a57,f31(f31(f14(a57),x15242),x15241),f31(f31(f14(a57),x15243),x15241))
% 21.27/21.38 [1526]P10(a58,x15262,x15263)+E(x15261,f2(a57))+~P10(a58,f31(f31(f14(a58),x15262),x15261),f31(f31(f14(a58),x15263),x15261))
% 21.27/21.38 [1527]P10(a57,x15272,x15273)+E(x15271,f2(a57))+~P10(a57,f31(f31(f8(a57),x15271),x15272),f31(f31(f8(a57),x15271),x15273))
% 21.27/21.38 [1529]P10(a58,x15292,x15293)+E(x15291,f2(a58))+~P10(a58,f31(f31(f8(a58),x15291),x15292),f31(f31(f8(a58),x15291),x15293))
% 21.27/21.38 [1607]~P59(x16071)+~P8(x16071,f3(x16071),x16072)+P8(x16071,f3(x16071),f31(f31(f14(x16071),x16072),f9(a57,x16073,f3(a57))))
% 21.27/21.38 [1615]P7(a57,x16151,x16152)+~P8(a57,f2(a57),x16153)+~P7(a57,f31(f31(f8(a57),x16153),x16151),f31(f31(f8(a57),x16153),x16152))
% 21.27/21.38 [1616]P7(a57,x16161,x16162)+~P8(a57,f3(a57),x16163)+~P10(a57,f31(f31(f14(a57),x16163),x16161),f31(f31(f14(a57),x16163),x16162))
% 21.27/21.38 [1617]P7(a57,x16171,x16172)+~P8(a57,f2(a57),x16173)+~P7(a57,f31(f31(f8(a57),x16171),x16173),f31(f31(f8(a57),x16172),x16173))
% 21.27/21.38 [1618]P7(a60,x16181,x16182)+~P8(a60,f2(a60),x16183)+~P7(a60,f31(f31(f8(a60),x16183),x16181),f31(f31(f8(a60),x16183),x16182))
% 21.27/21.38 [1619]P7(a60,x16191,x16192)+~P8(a60,f2(a60),x16193)+~P7(a60,f31(f31(f8(a60),x16191),x16193),f31(f31(f8(a60),x16192),x16193))
% 21.27/21.38 [1621]P8(a57,x16211,x16212)+~P8(a57,f2(a57),x16213)+~P8(a57,f31(f31(f14(a57),x16213),x16211),f31(f31(f14(a57),x16213),x16212))
% 21.27/21.38 [1622]P8(a60,x16221,x16222)+~P8(a60,f2(a60),x16223)+~P8(a60,f31(f31(f8(a60),x16221),x16223),f31(f31(f8(a60),x16222),x16223))
% 21.27/21.38 [1624]P10(a57,x16241,x16242)+~P8(a57,f2(a57),x16243)+~P10(a57,f31(f31(f8(a57),x16243),x16241),f31(f31(f8(a57),x16243),x16242))
% 21.27/21.38 [1626]~P4(x16262)+E(x16261,f2(f61(x16262)))+E(f31(f17(x16262,f25(x16262,x16263,x16261)),f16(x16262,f25(x16262,x16263,x16261))),f3(x16262))
% 21.27/21.38 [1627]~P4(x16272)+E(x16271,f2(f61(x16272)))+E(f31(f17(x16272,f25(x16272,x16271,x16273)),f16(x16272,f25(x16272,x16271,x16273))),f3(x16272))
% 21.27/21.38 [1728]~P47(x17281)+~E(x17282,f7(x17281,x17283))+E(f31(f31(f14(x17281),x17282),f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57))),f31(f31(f14(x17281),x17283),f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57))))
% 21.27/21.38 [1810]~P47(x18102)+E(x18101,f2(f61(x18102)))+~P10(f61(x18102),f31(f31(f14(f61(x18102)),f21(x18102,f7(x18102,x18103),f21(x18102,f3(x18102),f2(f61(x18102))))),f9(a57,f22(x18102,x18103,x18101),f3(a57))),x18101)
% 21.27/21.38 [1123]~P50(x11232)+E(x11231,f2(x11232))+E(f31(f31(f14(x11232),f29(x11232,x11231)),x11233),f29(x11232,f31(f31(f14(x11232),x11231),x11233)))
% 21.27/21.38 [1343]~P8(a57,f2(a57),x13432)+~P8(a57,f2(a57),x13431)+E(f11(f31(f31(f8(a57),x13431),x13432),x13433),f11(x13431,f11(x13432,x13433)))
% 21.27/21.38 [1514]~P4(x15141)+~E(x15143,f2(f61(x15141)))+E(f25(x15141,x15142,x15143),f24(x15141,f29(x15141,f31(f17(x15141,x15142),f16(x15141,x15142))),x15142))
% 21.27/21.38 [1535]~P56(x15352)+E(x15351,f2(x15352))+~E(f9(x15352,f31(f31(f8(x15352),x15353),x15353),f31(f31(f8(x15352),x15351),x15351)),f2(x15352))
% 21.27/21.38 [1536]~P56(x15362)+E(x15361,f2(x15362))+~E(f9(x15362,f31(f31(f8(x15362),x15361),x15361),f31(f31(f8(x15362),x15363),x15363)),f2(x15362))
% 21.27/21.38 [1592]~P59(x15921)+~P8(x15921,f3(x15921),x15922)+P8(x15921,f3(x15921),f31(f31(f8(x15921),x15922),f31(f31(f14(x15921),x15922),x15923)))
% 21.27/21.38 [1677]~P59(x16771)+~P8(x16771,f3(x16771),x16772)+P8(x16771,f31(f31(f14(x16771),x16772),x16773),f31(f31(f8(x16771),x16772),f31(f31(f14(x16771),x16772),x16773)))
% 21.27/21.38 [1688]~P56(x16882)+E(x16881,f2(x16882))+P8(x16882,f2(x16882),f9(x16882,f31(f31(f8(x16882),x16883),x16883),f31(f31(f8(x16882),x16881),x16881)))
% 21.27/21.38 [1689]~P56(x16892)+E(x16891,f2(x16892))+P8(x16892,f2(x16892),f9(x16892,f31(f31(f8(x16892),x16891),x16891),f31(f31(f8(x16892),x16893),x16893)))
% 21.27/21.38 [1691]~P47(x16911)+~E(f31(f15(x16911,x16913),f7(x16911,x16912)),f2(x16911))+P10(f61(x16911),f21(x16911,x16912,f21(x16911,f3(x16911),f2(f61(x16911)))),x16913)
% 21.27/21.38 [1693]~P47(x16931)+~E(f31(f15(x16931,x16933),x16932),f2(x16931))+P10(f61(x16931),f21(x16931,f7(x16931,x16932),f21(x16931,f3(x16931),f2(f61(x16931)))),x16933)
% 21.27/21.38 [1731]~P47(x17311)+E(f31(f15(x17311,x17312),f7(x17311,x17313)),f2(x17311))+~P10(f61(x17311),f21(x17311,x17313,f21(x17311,f3(x17311),f2(f61(x17311)))),x17312)
% 21.27/21.38 [1735]~P47(x17351)+E(f31(f15(x17351,x17352),x17353),f2(x17351))+~P10(f61(x17351),f21(x17351,f7(x17351,x17353),f21(x17351,f3(x17351),f2(f61(x17351)))),x17352)
% 21.27/21.38 [1738]~P56(x17382)+E(x17381,f2(x17382))+~P7(x17382,f9(x17382,f31(f31(f8(x17382),x17383),x17383),f31(f31(f8(x17382),x17381),x17381)),f2(x17382))
% 21.27/21.38 [1739]~P56(x17392)+E(x17391,f2(x17392))+~P7(x17392,f9(x17392,f31(f31(f8(x17392),x17391),x17391),f31(f31(f8(x17392),x17393),x17393)),f2(x17392))
% 21.27/21.38 [992]~P18(x9923)+E(x9921,x9922)+~E(f9(x9923,x9924,x9921),f9(x9923,x9924,x9922))
% 21.27/21.38 [993]~P19(x9933)+E(x9931,x9932)+~E(f9(x9933,x9934,x9931),f9(x9933,x9934,x9932))
% 21.27/21.38 [995]~P18(x9953)+E(x9951,x9952)+~E(f9(x9953,x9951,x9954),f9(x9953,x9952,x9954))
% 21.27/21.38 [996]~P23(x9963)+E(x9961,x9962)+~E(f19(x9963,x9961,x9964),f19(x9963,x9962,x9964))
% 21.27/21.38 [1088]~P38(x10882)+~P8(f63(x10881,x10882),x10883,x10884)+P7(f63(x10881,x10882),x10883,x10884)
% 21.27/21.38 [1209]~P38(x12091)+~P8(f63(x12092,x12091),x12094,x12093)+~P7(f63(x12092,x12091),x12093,x12094)
% 21.27/21.38 [1234]~P48(x12341)+~P10(f61(x12341),x12342,x12344)+P10(f61(x12341),x12342,f24(x12341,x12343,x12344))
% 21.27/21.38 [1303]~P8(a57,x13033,x13034)+P8(a57,x13031,x13032)+~E(f9(a57,x13033,x13032),f9(a57,x13031,x13034))
% 21.27/21.38 [1377]~P4(x13771)+~P10(f61(x13771),x13772,f25(x13771,x13774,x13773))+P10(f61(x13771),x13772,x13773)
% 21.27/21.38 [1378]~P4(x13781)+~P10(f61(x13781),x13782,f25(x13781,x13783,x13784))+P10(f61(x13781),x13782,x13783)
% 21.27/21.38 [1379]~P48(x13791)+~P10(f61(x13791),f24(x13791,x13794,x13792),x13793)+P10(f61(x13791),x13792,x13793)
% 21.27/21.38 [1422]~P25(x14221)+~P7(x14221,x14223,x14224)+P7(x14221,f9(x14221,x14222,x14223),f9(x14221,x14222,x14224))
% 21.27/21.38 [1423]~P26(x14231)+~P7(x14231,x14233,x14234)+P7(x14231,f9(x14231,x14232,x14233),f9(x14231,x14232,x14234))
% 21.27/21.38 [1424]~P25(x14241)+~P7(x14241,x14242,x14244)+P7(x14241,f9(x14241,x14242,x14243),f9(x14241,x14244,x14243))
% 21.27/21.38 [1425]~P26(x14251)+~P7(x14251,x14252,x14254)+P7(x14251,f9(x14251,x14252,x14253),f9(x14251,x14254,x14253))
% 21.27/21.38 [1426]~P24(x14261)+~P8(x14261,x14263,x14264)+P8(x14261,f9(x14261,x14262,x14263),f9(x14261,x14262,x14264))
% 21.27/21.38 [1427]~P25(x14271)+~P8(x14271,x14273,x14274)+P8(x14271,f9(x14271,x14272,x14273),f9(x14271,x14272,x14274))
% 21.27/21.38 [1428]~P24(x14281)+~P8(x14281,x14282,x14284)+P8(x14281,f9(x14281,x14282,x14283),f9(x14281,x14284,x14283))
% 21.27/21.38 [1429]~P25(x14291)+~P8(x14291,x14292,x14294)+P8(x14291,f9(x14291,x14292,x14293),f9(x14291,x14294,x14293))
% 21.27/21.38 [1539]~P7(a57,x15392,x15394)+~P7(a57,x15391,x15393)+P7(a57,f9(a57,x15391,x15392),f9(a57,x15393,x15394))
% 21.27/21.38 [1540]~P8(a57,x15402,x15404)+~P8(a57,x15401,x15403)+P8(a57,f9(a57,x15401,x15402),f9(a57,x15403,x15404))
% 21.27/21.38 [1541]~P7(a58,x15412,x15414)+~P8(a58,x15411,x15413)+P8(a58,f9(a58,x15411,x15412),f9(a58,x15413,x15414))
% 21.27/21.38 [1600]~P25(x16001)+P7(x16001,x16002,x16003)+~P7(x16001,f9(x16001,x16004,x16002),f9(x16001,x16004,x16003))
% 21.27/21.38 [1602]~P25(x16021)+P7(x16021,x16022,x16023)+~P7(x16021,f9(x16021,x16022,x16024),f9(x16021,x16023,x16024))
% 21.27/21.38 [1604]~P25(x16041)+P8(x16041,x16042,x16043)+~P8(x16041,f9(x16041,x16044,x16042),f9(x16041,x16044,x16043))
% 21.27/21.38 [1606]~P25(x16061)+P8(x16061,x16062,x16063)+~P8(x16061,f9(x16061,x16062,x16064),f9(x16061,x16063,x16064))
% 21.27/21.38 [1021]~P1(x10212)+~E(f21(x10212,x10213,x10211),f24(x10212,x10214,x10211))+E(x10211,f2(f61(x10212)))
% 21.27/21.38 [1312]~P5(x13121)+~P10(x13121,x13124,x13123)+E(f5(x13121,f5(x13121,x13122,x13123),x13124),f5(x13121,x13122,x13124))
% 21.27/21.38 [1388]~P6(x13881)+~E(f5(x13881,x13882,x13883),f5(x13881,x13884,x13883))+E(f5(x13881,f7(x13881,x13882),x13883),f5(x13881,f7(x13881,x13884),x13883))
% 21.27/21.38 [1590]~P1(x15902)+~E(f9(f61(x15902),f24(x15902,x15903,x15901),f21(x15902,x15904,x15901)),f2(f61(x15902)))+E(x15901,f2(f61(x15902)))
% 21.27/21.38 [1791]E(x17911,x17912)+~P4(x17913)+~P12(x17913,x17912,f2(f61(x17913)),x17914,x17911)
% 21.27/21.38 [1792]~P4(x17922)+~P12(x17922,x17923,f2(f61(x17922)),x17921,x17924)+E(x17921,f2(f61(x17922)))
% 21.27/21.38 [1793]~P4(x17932)+~P12(x17932,f2(f61(x17932)),x17933,x17934,x17931)+E(x17931,f2(f61(x17932)))
% 21.27/21.38 [1794]~P4(x17942)+~P12(x17942,f2(f61(x17942)),x17943,x17941,x17944)+E(x17941,f2(f61(x17942)))
% 21.27/21.38 [1800]~P38(x18002)+P7(f63(x18001,x18002),x18003,x18004)+~P7(x18002,f31(x18003,f53(x18004,x18003,x18001,x18002)),f31(x18004,f53(x18004,x18003,x18001,x18002)))
% 21.27/21.38 [891]~P49(x8911)+P10(x8911,x8912,x8913)+~E(x8913,f31(f31(f8(x8911),x8912),x8914))
% 21.27/21.38 [1180]~P48(x11801)+~P10(x11801,x11802,x11804)+P10(x11801,x11802,f31(f31(f8(x11801),x11803),x11804))
% 21.27/21.38 [1181]~P48(x11811)+~P10(x11811,x11812,x11813)+P10(x11811,x11812,f31(f31(f8(x11811),x11813),x11814))
% 21.27/21.38 [1216]~E(x12163,x12164)+~P23(x12161)+E(f31(f17(x12161,f19(x12161,x12162,x12163)),x12164),x12162)
% 21.27/21.38 [1223]~P23(x12233)+E(x12231,x12232)+E(f31(f17(x12233,f19(x12233,x12234,x12231)),x12232),f2(x12233))
% 21.27/21.38 [1247]~P47(x12471)+~E(x12473,f2(x12471))+P10(x12471,f31(f31(f8(x12471),x12472),x12473),f31(f31(f8(x12471),x12474),x12473))
% 21.27/21.38 [1248]~P47(x12481)+~E(x12482,f2(x12481))+P10(x12481,f31(f31(f8(x12481),x12482),x12483),f31(f31(f8(x12481),x12482),x12484))
% 21.27/21.38 [1310]~P48(x13101)+P10(x13101,x13102,x13103)+~P10(x13101,f31(f31(f8(x13101),x13104),x13102),x13103)
% 21.27/21.38 [1311]~P48(x13111)+P10(x13111,x13112,x13113)+~P10(x13111,f31(f31(f8(x13111),x13112),x13114),x13113)
% 21.27/21.38 [1405]~P48(x14051)+~P7(a57,x14053,x14054)+P10(x14051,f31(f31(f14(x14051),x14052),x14053),f31(f31(f14(x14051),x14052),x14054))
% 21.27/21.38 [1413]~P47(x14131)+~P10(x14131,x14133,x14134)+P10(x14131,f31(f31(f8(x14131),x14132),x14133),f31(f31(f8(x14131),x14132),x14134))
% 21.27/21.38 [1414]~P47(x14141)+~P10(x14141,x14142,x14144)+P10(x14141,f31(f31(f8(x14141),x14142),x14143),f31(f31(f8(x14141),x14144),x14143))
% 21.27/21.38 [1415]~P48(x14151)+~P10(x14151,x14152,x14154)+P10(x14151,f31(f31(f14(x14151),x14152),x14153),f31(f31(f14(x14151),x14154),x14153))
% 21.27/21.38 [1483]~P7(a57,x14832,x14834)+~P7(a57,x14831,x14833)+P7(a57,f31(f31(f8(a57),x14831),x14832),f31(f31(f8(a57),x14833),x14834))
% 21.27/21.38 [1779]~P23(x17792)+E(f26(x17791,x17792,x17793,x17794,f2(f61(x17792))),x17793)+~E(f31(f31(f31(x17794,f2(x17792)),f2(f61(x17792))),x17793),x17793)
% 21.27/21.38 [997]~P23(x9973)+E(x9971,x9972)+~E(f21(x9973,x9974,x9971),f21(x9973,x9975,x9972))
% 21.27/21.38 [998]~P23(x9983)+E(x9981,x9982)+~E(f21(x9983,x9981,x9984),f21(x9983,x9982,x9985))
% 21.27/21.38 [1159]~P38(x11591)+P7(x11591,f31(x11592,x11593),f31(x11594,x11593))+~P7(f63(x11595,x11591),x11592,x11594)
% 21.27/21.38 [1482]~P1(x14822)+~E(f9(f61(x14822),x14823,f24(x14822,x14824,x14825)),f21(x14822,x14821,x14825))+E(x14821,f31(f15(x14822,x14823),x14824))
% 21.27/21.38 [1506]~P1(x15062)+E(x15061,f27(x15062,x15063,x15064))+~E(f9(f61(x15062),x15063,f24(x15062,x15064,x15061)),f21(x15062,x15065,x15061))
% 21.27/21.38 [1636]~E(x16362,x16364)+~P54(x16361)+E(f9(x16361,f31(f31(f8(x16361),x16362),x16363),f31(f31(f8(x16361),x16364),x16365)),f9(x16361,f31(f31(f8(x16361),x16362),x16365),f31(f31(f8(x16361),x16364),x16363)))
% 21.27/21.38 [1757]~P10(a58,x17571,x17574)+~P10(a58,x17571,f9(a58,x17572,x17575))+P10(a58,x17571,f9(a58,f9(a58,x17572,f31(f31(f8(a58),x17573),x17574)),x17575))
% 21.27/21.38 [1776]~P10(a58,x17761,x17764)+P10(a58,x17761,f9(a58,x17762,x17763))+~P10(a58,x17761,f9(a58,f9(a58,x17762,f31(f31(f8(a58),x17765),x17764)),x17763))
% 21.27/21.38 [1796]~P4(x17962)+~P12(x17962,x17961,x17964,x17963,x17965)+E(x17961,f9(f61(x17962),f31(f31(f8(f61(x17962)),x17963),x17964),x17965))
% 21.27/21.38 [1802]~P4(x18021)+~P12(x18021,x18023,x18024,x18025,x18026)+P12(x18021,f24(x18021,x18022,x18023),x18024,f24(x18021,x18022,x18025),f24(x18021,x18022,x18026))
% 21.27/21.38 [1808]~P23(x18082)+E(f26(x18081,x18082,x18083,x18084,f21(x18082,x18085,x18086)),f31(f31(f31(x18084,x18085),x18086),f26(x18081,x18082,x18083,x18084,x18086)))+~E(f31(f31(f31(x18084,f2(x18082)),f2(f61(x18082))),x18083),x18083)
% 21.27/21.38 [1071]~P17(x10712)+~P8(x10712,f29(x10712,x10711),f2(x10712))+P8(x10712,x10711,f2(x10712))+E(x10711,f2(x10712))
% 21.27/21.38 [1072]~P17(x10722)+~P8(x10722,f2(x10722),f29(x10722,x10721))+P8(x10722,f2(x10722),x10721)+E(x10721,f2(x10722))
% 21.27/21.38 [1217]~P15(x12171)+P7(x12171,f3(x12171),x12172)+~P7(x12171,f29(x12171,x12172),f3(x12171))+P7(x12171,x12172,f2(x12171))
% 21.27/21.38 [1218]~P15(x12181)+P8(x12181,f3(x12181),x12182)+~P8(x12181,f29(x12181,x12182),f3(x12181))+P7(x12181,x12182,f2(x12181))
% 21.27/21.38 [1266]~P15(x12661)+~P7(x12661,x12662,f3(x12661))+~P8(x12661,f2(x12661),x12662)+P7(x12661,f3(x12661),f29(x12661,x12662))
% 21.27/21.38 [1267]~P17(x12671)+~P7(x12671,x12672,f3(x12671))+~P8(x12671,f2(x12671),x12672)+P7(x12671,f3(x12671),f29(x12671,x12672))
% 21.27/21.38 [1268]~P15(x12681)+~P8(x12681,x12682,f3(x12681))+~P8(x12681,f2(x12681),x12682)+P8(x12681,f3(x12681),f29(x12681,x12682))
% 21.27/21.38 [1269]~P17(x12691)+~P8(x12691,x12692,f3(x12691))+~P8(x12691,f2(x12691),x12692)+P8(x12691,f3(x12691),f29(x12691,x12692))
% 21.27/21.38 [733]P11(x7332,x7331)+~P52(x7332)+P11(x7332,f7(f61(x7332),x7331))+E(x7331,f2(f61(x7332)))
% 21.27/21.38 [734]~P44(x7342)+~P74(x7342)+E(x7341,f2(a57))+E(f31(f31(f14(x7342),f2(x7342)),x7341),f2(x7342))
% 21.27/21.38 [749]~P44(x7491)+~P74(x7491)+~E(x7492,f2(a57))+E(f31(f31(f14(x7491),f2(x7491)),x7492),f3(x7491))
% 21.27/21.38 [853]~P70(x8532)+E(x8531,f3(x8532))+E(x8531,f7(x8532,f3(x8532)))+~E(f31(f31(f8(x8532),x8531),x8531),f3(x8532))
% 21.27/21.38 [901]~E(x9012,f3(a58))+~E(x9011,f3(a58))+~P8(a58,f2(a58),x9011)+E(f31(f31(f8(a58),x9011),x9012),f3(a58))
% 21.27/21.38 [839]P8(x8393,x8391,x8392)+~P52(x8393)+E(x8391,x8392)+P8(x8393,x8392,x8391)
% 21.27/21.38 [845]P8(x8453,x8451,x8452)+~P39(x8453)+E(x8451,x8452)+P8(x8453,x8452,x8451)
% 21.27/21.38 [850]P8(x8501,x8502,x8503)+~E(x8502,x8503)+~P39(x8501)+P7(x8501,x8502,x8503)
% 21.27/21.38 [904]~P37(x9043)+~P7(x9043,x9042,x9041)+E(x9041,x9042)+P8(x9043,x9042,x9041)
% 21.27/21.38 [910]~P37(x9103)+~P7(x9103,x9101,x9102)+E(x9101,x9102)+P8(x9103,x9101,x9102)
% 21.27/21.38 [912]~P39(x9123)+~P7(x9123,x9121,x9122)+E(x9121,x9122)+P8(x9123,x9121,x9122)
% 21.27/21.38 [1004]~P7(x10043,x10042,x10041)+~P7(x10043,x10041,x10042)+E(x10041,x10042)+~P37(x10043)
% 21.27/21.38 [1054]P8(x10541,x10543,x10542)+~P36(x10541)+~P7(x10541,x10543,x10542)+P7(x10541,x10542,x10543)
% 21.27/21.38 [666]~P2(x6663)+~P47(x6663)+E(x6661,x6662)+~E(f15(x6663,x6661),f15(x6663,x6662))
% 21.27/21.38 [1235]~P52(x12351)+P11(x12351,x12352)+P8(x12351,f2(x12351),x12353)+~P11(x12351,f21(x12351,x12353,x12352))
% 21.27/21.38 [1284]~P17(x12841)+~P7(x12841,x12843,x12842)+~P8(x12841,x12842,f2(x12841))+P7(x12841,f29(x12841,x12842),f29(x12841,x12843))
% 21.27/21.38 [1285]~P17(x12851)+~P8(x12851,x12853,x12852)+~P8(x12851,x12852,f2(x12851))+P8(x12851,f29(x12851,x12852),f29(x12851,x12853))
% 21.27/21.38 [1286]~P17(x12861)+~P7(x12861,x12863,x12862)+~P8(x12861,f2(x12861),x12863)+P7(x12861,f29(x12861,x12862),f29(x12861,x12863))
% 21.27/21.38 [1287]~P17(x12871)+~P8(x12871,x12873,x12872)+~P8(x12871,f2(x12871),x12873)+P8(x12871,f29(x12871,x12872),f29(x12871,x12873))
% 21.27/21.38 [1353]~P17(x13531)+P7(x13531,x13532,x13533)+~P8(x13531,x13532,f2(x13531))+~P7(x13531,f29(x13531,x13533),f29(x13531,x13532))
% 21.27/21.38 [1354]~P17(x13541)+P8(x13541,x13542,x13543)+~P8(x13541,x13542,f2(x13541))+~P8(x13541,f29(x13541,x13543),f29(x13541,x13542))
% 21.27/21.38 [1355]~P17(x13551)+P7(x13551,x13552,x13553)+~P8(x13551,f2(x13551),x13553)+~P7(x13551,f29(x13551,x13553),f29(x13551,x13552))
% 21.27/21.38 [1356]~P17(x13561)+P8(x13561,x13562,x13563)+~P8(x13561,f2(x13561),x13563)+~P8(x13561,f29(x13561,x13563),f29(x13561,x13562))
% 21.27/21.38 [1450]~P8(a57,x14503,x14501)+P7(a60,f11(x14501,x14502),f11(x14503,x14502))+~P7(a60,f3(a60),x14502)+~P8(a57,f2(a57),x14503)
% 21.27/21.38 [1451]~P8(a57,x14513,x14511)+P8(a60,f11(x14511,x14512),f11(x14513,x14512))+~P8(a57,f2(a57),x14513)+~P8(a60,f3(a60),x14512)
% 21.27/21.38 [1456]~P34(x14561)+~P8(x14561,f2(x14561),x14563)+~P8(x14561,f2(x14561),x14562)+P8(x14561,f2(x14561),f9(x14561,x14562,x14563))
% 21.27/21.38 [1457]~P34(x14571)+~P7(x14571,x14573,f2(x14571))+~P7(x14571,x14572,f2(x14571))+P7(x14571,f9(x14571,x14572,x14573),f2(x14571))
% 21.27/21.38 [1458]~P34(x14581)+~P7(x14581,x14583,f2(x14581))+~P8(x14581,x14582,f2(x14581))+P8(x14581,f9(x14581,x14582,x14583),f2(x14581))
% 21.27/21.38 [1459]~P34(x14591)+~P7(x14591,x14592,f2(x14591))+~P8(x14591,x14593,f2(x14591))+P8(x14591,f9(x14591,x14592,x14593),f2(x14591))
% 21.27/21.38 [1460]~P34(x14601)+~P8(x14601,x14603,f2(x14601))+~P8(x14601,x14602,f2(x14601))+P8(x14601,f9(x14601,x14602,x14603),f2(x14601))
% 21.27/21.38 [793]~P23(x7931)+~E(x7932,f2(x7931))+~E(x7933,f2(f61(x7931)))+E(f21(x7931,x7932,x7933),f2(f61(x7931)))
% 21.27/21.38 [806]~P4(x8061)+~E(x8063,f2(f61(x8061)))+~E(x8062,f2(f61(x8061)))+E(f25(x8061,x8062,x8063),f2(f61(x8061)))
% 21.27/21.38 [858]~P47(x8582)+E(x8581,f2(x8582))+~E(f24(x8582,x8581,x8583),f2(f61(x8582)))+E(x8583,f2(f61(x8582)))
% 21.27/21.38 [976]~P47(x9762)+~E(f22(x9762,x9763,x9761),f2(a57))+~E(f31(f15(x9762,x9761),x9763),f2(x9762))+E(x9761,f2(f61(x9762)))
% 21.27/21.38 [1015]~P52(x10151)+~P11(x10151,x10153)+~P11(x10151,x10152)+P11(x10151,f9(f61(x10151),x10152,x10153))
% 21.27/21.38 [1094]~P47(x10942)+~P10(f61(x10942),x10943,x10941)+P7(a57,f16(x10942,x10943),f16(x10942,x10941))+E(x10941,f2(f61(x10942)))
% 21.27/21.38 [1108]P11(x11082,x11081)+~P52(x11082)+~P11(x11082,f21(x11082,x11083,x11081))+E(x11081,f2(f61(x11082)))
% 21.27/21.38 [1160]~P52(x11601)+~P8(x11601,f2(x11601),x11602)+P11(x11601,f21(x11601,x11602,x11603))+~E(x11603,f2(f61(x11601)))
% 21.27/21.38 [1192]~P7(a57,x11923,f36(x11922,x11921))+~P76(f31(x11921,x11922))+~P76(f31(x11921,x11923))+P76(f31(x11921,f2(a57)))
% 21.27/21.38 [1756]~P50(x17562)+E(x17561,f2(x17562))+E(x17563,f2(x17562))+E(f31(f31(f8(x17562),f31(f31(f8(x17562),f29(x17562,x17563)),f9(x17562,x17563,x17561))),f29(x17562,x17561)),f9(x17562,f29(x17562,x17563),f29(x17562,x17561)))
% 21.27/21.38 [1775]~P4(x17752)+E(x17751,f2(x17752))+E(x17753,f2(x17752))+E(f31(f31(f8(x17752),f31(f31(f8(x17752),f9(x17752,x17753,x17751)),f29(x17752,x17753))),f29(x17752,x17751)),f9(x17752,f29(x17752,x17753),f29(x17752,x17751)))
% 21.27/21.38 [800]~P63(x8002)+E(x8001,f2(x8002))+E(x8003,f2(x8002))+~E(f31(f31(f8(x8002),x8003),x8001),f2(x8002))
% 21.27/21.38 [802]~P64(x8022)+E(x8021,f2(x8022))+E(x8023,f2(x8022))+~E(f31(f31(f8(x8022),x8023),x8021),f2(x8022))
% 21.27/21.38 [1016]~P47(x10163)+E(x10161,x10162)+E(x10161,f7(x10163,x10162))+~E(f31(f31(f8(x10163),x10161),x10161),f31(f31(f8(x10163),x10162),x10162))
% 21.27/21.38 [1222]E(f11(x12221,x12222),x12223)+~P7(a60,f2(a60),x12223)+~P8(a57,f2(a57),x12221)+~E(f31(f31(f14(a60),x12223),x12221),x12222)
% 21.27/21.38 [1416]~P59(x14161)+~P8(x14161,f3(x14161),x14162)+~P8(a57,f2(a57),x14163)+P8(x14161,f3(x14161),f31(f31(f14(x14161),x14162),x14163))
% 21.27/21.38 [1430]~P56(x14301)+~P7(x14301,x14303,f2(x14301))+~P7(x14301,x14302,f2(x14301))+P7(x14301,f2(x14301),f31(f31(f8(x14301),x14302),x14303))
% 21.27/21.38 [1432]~P66(x14321)+~P7(x14321,x14323,f2(x14321))+~P7(x14321,x14322,f2(x14321))+P7(x14321,f2(x14321),f31(f31(f8(x14321),x14322),x14323))
% 21.27/21.38 [1433]~P56(x14331)+~P8(x14331,x14333,f2(x14331))+~P8(x14331,x14332,f2(x14331))+P8(x14331,f2(x14331),f31(f31(f8(x14331),x14332),x14333))
% 21.27/21.38 [1434]~P56(x14341)+~P7(x14341,f2(x14341),x14343)+~P7(x14341,f2(x14341),x14342)+P7(x14341,f2(x14341),f31(f31(f8(x14341),x14342),x14343))
% 21.27/21.38 [1435]~P65(x14351)+~P7(x14351,f2(x14351),x14353)+~P7(x14351,f2(x14351),x14352)+P7(x14351,f2(x14351),f31(f31(f8(x14351),x14352),x14353))
% 21.27/21.38 [1436]~P66(x14361)+~P7(x14361,f2(x14361),x14363)+~P7(x14361,f2(x14361),x14362)+P7(x14361,f2(x14361),f31(f31(f8(x14361),x14362),x14363))
% 21.27/21.38 [1437]~P57(x14371)+~P8(x14371,f2(x14371),x14373)+~P8(x14371,f2(x14371),x14372)+P8(x14371,f2(x14371),f31(f31(f8(x14371),x14372),x14373))
% 21.27/21.38 [1438]~P59(x14381)+~P8(x14381,f3(x14381),x14383)+~P8(x14381,f3(x14381),x14382)+P8(x14381,f3(x14381),f31(f31(f8(x14381),x14382),x14383))
% 21.27/21.38 [1440]~P56(x14401)+~P7(x14401,x14403,f2(x14401))+~P7(x14401,f2(x14401),x14402)+P7(x14401,f31(f31(f8(x14401),x14402),x14403),f2(x14401))
% 21.27/21.38 [1441]~P56(x14411)+~P7(x14411,x14412,f2(x14411))+~P7(x14411,f2(x14411),x14413)+P7(x14411,f31(f31(f8(x14411),x14412),x14413),f2(x14411))
% 21.27/21.38 [1443]~P65(x14431)+~P7(x14431,x14433,f2(x14431))+~P7(x14431,f2(x14431),x14432)+P7(x14431,f31(f31(f8(x14431),x14432),x14433),f2(x14431))
% 21.27/21.38 [1445]~P65(x14451)+~P7(x14451,x14452,f2(x14451))+~P7(x14451,f2(x14451),x14453)+P7(x14451,f31(f31(f8(x14451),x14452),x14453),f2(x14451))
% 21.27/21.38 [1447]~P57(x14471)+~P8(x14471,x14473,f2(x14471))+~P8(x14471,f2(x14471),x14472)+P8(x14471,f31(f31(f8(x14471),x14472),x14473),f2(x14471))
% 21.27/21.38 [1448]~P57(x14481)+~P8(x14481,x14482,f2(x14481))+~P8(x14481,f2(x14481),x14483)+P8(x14481,f31(f31(f8(x14481),x14482),x14483),f2(x14481))
% 21.27/21.38 [1471]~P56(x14711)+P7(x14711,x14712,f2(x14711))+P7(x14711,x14713,f2(x14711))+~P7(x14711,f31(f31(f8(x14711),x14713),x14712),f2(x14711))
% 21.27/21.38 [1472]~P56(x14721)+P7(x14721,x14722,f2(x14721))+P7(x14721,f2(x14721),x14723)+~P7(x14721,f2(x14721),f31(f31(f8(x14721),x14723),x14722))
% 21.27/21.38 [1473]~P56(x14731)+P7(x14731,x14732,f2(x14731))+P7(x14731,f2(x14731),x14733)+~P7(x14731,f2(x14731),f31(f31(f8(x14731),x14732),x14733))
% 21.27/21.38 [1474]~P56(x14741)+P7(x14741,f2(x14741),x14742)+P7(x14741,x14742,f2(x14741))+~P7(x14741,f2(x14741),f31(f31(f8(x14741),x14743),x14742))
% 21.27/21.38 [1475]~P56(x14751)+P7(x14751,f2(x14751),x14752)+P7(x14751,x14752,f2(x14751))+~P7(x14751,f2(x14751),f31(f31(f8(x14751),x14752),x14753))
% 21.27/21.38 [1476]~P56(x14761)+P7(x14761,f2(x14761),x14762)+P7(x14761,x14762,f2(x14761))+~P7(x14761,f31(f31(f8(x14761),x14763),x14762),f2(x14761))
% 21.27/21.38 [1477]~P56(x14771)+P7(x14771,f2(x14771),x14772)+P7(x14771,x14772,f2(x14771))+~P7(x14771,f31(f31(f8(x14771),x14772),x14773),f2(x14771))
% 21.27/21.38 [1478]~P56(x14781)+P7(x14781,f2(x14781),x14782)+P7(x14781,f2(x14781),x14783)+~P7(x14781,f31(f31(f8(x14781),x14782),x14783),f2(x14781))
% 21.27/21.38 [1518]~P57(x15181)+P8(x15181,f2(x15181),x15182)+~P8(x15181,f2(x15181),x15183)+~P8(x15181,f2(x15181),f31(f31(f8(x15181),x15183),x15182))
% 21.27/21.38 [1519]~P57(x15191)+P8(x15191,f2(x15191),x15192)+~P8(x15191,f2(x15191),x15193)+~P8(x15191,f2(x15191),f31(f31(f8(x15191),x15192),x15193))
% 21.27/21.38 [1543]~P4(x15432)+E(f5(f61(x15432),x15433,x15431),f2(f61(x15432)))+E(x15431,f2(f61(x15432)))+P8(a57,f16(x15432,f5(f61(x15432),x15433,x15431)),f16(x15432,x15431))
% 21.27/21.38 [1650]~P4(x16501)+~E(x16503,f2(f61(x16501)))+~E(x16502,f2(f61(x16501)))+E(f31(f17(x16501,f25(x16501,x16502,x16503)),f16(x16501,f25(x16501,x16502,x16503))),f2(x16501))
% 21.27/21.38 [1681]~P59(x16811)+~P7(x16811,x16812,f3(x16811))+~P7(x16811,f2(x16811),x16812)+P7(x16811,f31(f31(f14(x16811),x16812),f9(a57,x16813,f3(a57))),x16812)
% 21.27/21.38 [1684]~P59(x16841)+~P8(x16841,x16842,f3(x16841))+~P8(x16841,f2(x16841),x16842)+P8(x16841,f31(f31(f14(x16841),x16842),f9(a57,x16843,f3(a57))),f3(x16841))
% 21.27/21.38 [1768]~P47(x17683)+E(x17681,x17682)+E(x17681,f7(x17683,x17682))+~E(f31(f31(f14(x17683),x17681),f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57))),f31(f31(f14(x17683),x17682),f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57))))
% 21.27/21.38 [1093]~P52(x10931)+~P11(x10931,x10933)+~P11(x10931,x10932)+P11(x10931,f31(f31(f8(f61(x10931)),x10932),x10933))
% 21.27/21.38 [1212]~P50(x12122)+E(x12121,f2(x12122))+E(x12123,f2(x12122))+E(f31(f31(f8(x12122),f29(x12122,x12121)),f29(x12122,x12123)),f29(x12122,f31(f31(f8(x12122),x12123),x12121)))
% 21.27/21.38 [1272]~P56(x12721)+~E(x12723,f2(x12721))+~E(x12722,f2(x12721))+E(f9(x12721,f31(f31(f8(x12721),x12722),x12722),f31(f31(f8(x12721),x12723),x12723)),f2(x12721))
% 21.27/21.38 [1585]~P8(a58,x15852,x15853)+~P8(a58,f2(a58),x15853)+P7(a58,f3(a58),x15851)+~E(f9(a58,x15852,f31(f31(f8(a58),x15853),x15851)),x15853)
% 21.27/21.38 [1586]~P7(a58,f2(a58),x15862)+~P8(a58,f2(a58),x15863)+P7(a58,x15861,f3(a58))+~E(f9(a58,x15862,f31(f31(f8(a58),x15863),x15861)),x15863)
% 21.27/21.38 [1692]~P56(x16921)+~E(x16923,f2(x16921))+~E(x16922,f2(x16921))+P7(x16921,f9(x16921,f31(f31(f8(x16921),x16922),x16922),f31(f31(f8(x16921),x16923),x16923)),f2(x16921))
% 21.27/21.38 [1707]~P59(x17071)+~P8(x17071,x17072,f3(x17071))+~P8(x17071,f2(x17071),x17072)+P8(x17071,f31(f31(f8(x17071),x17072),f31(f31(f14(x17071),x17072),x17073)),f31(f31(f14(x17071),x17072),x17073))
% 21.27/21.38 [1721]~P8(a58,x17212,x17213)+~P8(a58,f2(a58),x17213)+P7(a58,f2(a58),x17211)+~P7(a58,f2(a58),f9(a58,f31(f31(f8(a58),x17213),x17211),x17212))
% 21.27/21.38 [1722]P7(a58,x17221,f2(a58))+~P7(a58,f2(a58),x17222)+~P8(a58,f2(a58),x17223)+~P8(a58,f9(a58,f31(f31(f8(a58),x17223),x17221),x17222),f2(a58))
% 21.27/21.38 [1745]~P56(x17452)+~E(x17451,f2(x17452))+~E(x17453,f2(x17452))+~P8(x17452,f2(x17452),f9(x17452,f31(f31(f8(x17452),x17453),x17453),f31(f31(f8(x17452),x17451),x17451)))
% 21.27/21.38 [1294]~P47(x12942)+E(x12941,f2(f61(x12942)))+E(x12943,f2(f61(x12942)))+E(f16(x12942,f31(f31(f8(f61(x12942)),x12943),x12941)),f9(a57,f16(x12942,x12943),f16(x12942,x12941)))
% 21.27/21.38 [1127]~P37(x11271)+~P7(x11271,x11274,x11273)+P7(x11271,x11272,x11273)+~P7(x11271,x11272,x11274)
% 21.27/21.38 [1128]~P36(x11281)+~P7(x11281,x11282,x11284)+P7(x11281,x11282,x11283)+~P7(x11281,x11284,x11283)
% 21.27/21.38 [1129]~P37(x11291)+~P8(x11291,x11294,x11293)+P8(x11291,x11292,x11293)+~P7(x11291,x11292,x11294)
% 21.27/21.38 [1130]~P37(x11301)+~P8(x11301,x11302,x11304)+P8(x11301,x11302,x11303)+~P7(x11301,x11304,x11303)
% 21.27/21.38 [1131]~P37(x11311)+~P8(x11311,x11314,x11313)+P8(x11311,x11312,x11313)+~P8(x11311,x11312,x11314)
% 21.27/21.38 [1132]~P36(x11321)+~P8(x11321,x11322,x11324)+P8(x11321,x11322,x11323)+~P7(x11321,x11324,x11323)
% 21.27/21.38 [1133]~P36(x11331)+~P8(x11331,x11334,x11333)+P8(x11331,x11332,x11333)+~P7(x11331,x11332,x11334)
% 21.27/21.38 [1134]~P36(x11341)+~P8(x11341,x11342,x11344)+P8(x11341,x11342,x11343)+~P8(x11341,x11344,x11343)
% 21.27/21.38 [1135]~P48(x11351)+~P10(x11351,x11352,x11354)+P10(x11351,x11352,x11353)+~P10(x11351,x11354,x11353)
% 21.27/21.38 [1097]~P37(x10971)+~P13(x10971,x10972)+~P7(a57,x10974,x10973)+P7(x10971,f31(x10972,x10973),f31(x10972,x10974))
% 21.27/21.38 [1249]~P4(x12492)+~P10(f61(x12492),x12493,x12494)+P10(f61(x12492),x12493,f24(x12492,x12491,x12494))+E(x12491,f2(x12492))
% 21.27/21.38 [1251]~P4(x12512)+~P10(f61(x12512),x12513,x12514)+P10(f61(x12512),f24(x12512,x12511,x12513),x12514)+E(x12511,f2(x12512))
% 21.27/21.38 [1283]~P38(x12832)+P8(f63(x12831,x12832),x12834,x12833)+~P7(f63(x12831,x12832),x12834,x12833)+P7(f63(x12831,x12832),x12833,x12834)
% 21.27/21.38 [1384]~P4(x13842)+~P10(f61(x13842),x13843,f24(x13842,x13841,x13844))+P10(f61(x13842),x13843,x13844)+E(x13841,f2(x13842))
% 21.27/21.38 [1385]~P4(x13852)+~P10(f61(x13852),f24(x13852,x13851,x13853),x13854)+P10(f61(x13852),x13853,x13854)+E(x13851,f2(x13852))
% 21.27/21.38 [1392]~P48(x13921)+~P10(x13921,x13922,x13924)+~P10(x13921,x13922,x13923)+P10(x13921,x13922,f9(x13921,x13923,x13924))
% 21.27/21.38 [1394]~P5(x13941)+~P10(x13941,x13942,x13944)+~P10(x13941,x13942,x13943)+P10(x13941,x13942,f5(x13941,x13943,x13944))
% 21.27/21.38 [1406]~P34(x14061)+~P7(x14061,x14062,x14063)+~P7(x14061,f2(x14061),x14064)+P7(x14061,x14062,f9(x14061,x14063,x14064))
% 21.27/21.38 [1407]~P34(x14071)+~P7(x14071,x14072,x14074)+~P7(x14071,f2(x14071),x14073)+P7(x14071,x14072,f9(x14071,x14073,x14074))
% 21.27/21.38 [1408]~P34(x14081)+~P7(x14081,x14082,x14084)+~P8(x14081,f2(x14081),x14083)+P8(x14081,x14082,f9(x14081,x14083,x14084))
% 21.27/21.38 [1409]~P34(x14091)+~P8(x14091,x14092,x14094)+~P7(x14091,f2(x14091),x14093)+P8(x14091,x14092,f9(x14091,x14093,x14094))
% 21.27/21.38 [1410]~P59(x14101)+~P8(x14101,x14102,x14104)+~P8(x14101,f2(x14101),x14103)+P8(x14101,x14102,f9(x14101,x14103,x14104))
% 21.27/21.38 [1462]~P4(x14621)+~P10(f61(x14621),x14622,x14624)+~P10(f61(x14621),x14622,x14623)+P10(f61(x14621),x14622,f25(x14621,x14623,x14624))
% 21.27/21.38 [1485]~P5(x14851)+P10(x14851,x14852,x14853)+~P10(x14851,x14852,x14854)+~P10(x14851,x14852,f5(x14851,x14853,x14854))
% 21.27/21.38 [1050]~P4(x10501)+P10(f61(x10501),f24(x10501,x10502,x10503),x10504)+~E(x10502,f2(x10501))+~E(x10504,f2(f61(x10501)))
% 21.27/21.38 [1273]~P4(x12731)+~P10(f61(x12731),x12733,x12734)+P10(f61(x12731),f24(x12731,x12732,x12733),x12734)+~E(x12734,f2(f61(x12731)))
% 21.27/21.38 [1278]~P4(x12782)+~P10(f61(x12782),f24(x12782,x12783,x12784),x12781)+~E(x12783,f2(x12782))+E(x12781,f2(f61(x12782)))
% 21.27/21.38 [1766]~E(x17664,x17662)+~P4(x17661)+P12(x17661,x17662,f2(f61(x17661)),x17663,x17664)+~E(x17663,f2(f61(x17661)))
% 21.27/21.38 [1769]~P4(x17691)+P12(x17691,f2(f61(x17691)),x17692,x17693,x17694)+~E(x17694,f2(f61(x17691)))+~E(x17693,f2(f61(x17691)))
% 21.27/21.38 [1227]~P59(x12273)+E(x12271,x12272)+~P8(x12273,f3(x12273),x12274)+~E(f31(f31(f14(x12273),x12274),x12271),f31(f31(f14(x12273),x12274),x12272))
% 21.27/21.38 [1549]~P59(x15491)+~P7(a57,x15493,x15494)+~P8(x15491,f3(x15491),x15492)+P7(x15491,f31(f31(f14(x15491),x15492),x15493),f31(f31(f14(x15491),x15492),x15494))
% 21.27/21.38 [1550]~P59(x15501)+~P7(a57,x15503,x15504)+~P7(x15501,f3(x15501),x15502)+P7(x15501,f31(f31(f14(x15501),x15502),x15503),f31(f31(f14(x15501),x15502),x15504))
% 21.27/21.38 [1552]~P59(x15521)+~P8(a57,x15523,x15524)+~P8(x15521,f3(x15521),x15522)+P8(x15521,f31(f31(f14(x15521),x15522),x15523),f31(f31(f14(x15521),x15522),x15524))
% 21.27/21.38 [1557]~P56(x15571)+~P7(x15571,x15574,x15573)+~P8(x15571,x15572,f2(x15571))+P7(x15571,f31(f31(f8(x15571),x15572),x15573),f31(f31(f8(x15571),x15572),x15574))
% 21.27/21.38 [1558]~P66(x15581)+~P7(x15581,x15584,x15583)+~P7(x15581,x15582,f2(x15581))+P7(x15581,f31(f31(f8(x15581),x15582),x15583),f31(f31(f8(x15581),x15582),x15584))
% 21.27/21.38 [1559]~P66(x15591)+~P7(x15591,x15594,x15592)+~P7(x15591,x15593,f2(x15591))+P7(x15591,f31(f31(f8(x15591),x15592),x15593),f31(f31(f8(x15591),x15594),x15593))
% 21.27/21.38 [1563]~P56(x15631)+~P8(x15631,x15634,x15632)+~P8(x15631,x15633,f2(x15631))+P8(x15631,f31(f31(f8(x15631),x15632),x15633),f31(f31(f8(x15631),x15634),x15633))
% 21.27/21.38 [1564]~P56(x15641)+~P8(x15641,x15644,x15643)+~P8(x15641,x15642,f2(x15641))+P8(x15641,f31(f31(f8(x15641),x15642),x15643),f31(f31(f8(x15641),x15642),x15644))
% 21.27/21.38 [1565]~P56(x15651)+~P7(x15651,x15653,x15654)+~P8(x15651,f2(x15651),x15652)+P7(x15651,f31(f31(f8(x15651),x15652),x15653),f31(f31(f8(x15651),x15652),x15654))
% 21.27/21.38 [1566]~P68(x15661)+~P7(x15661,x15663,x15664)+~P7(x15661,f2(x15661),x15662)+P7(x15661,f31(f31(f8(x15661),x15662),x15663),f31(f31(f8(x15661),x15662),x15664))
% 21.27/21.38 [1567]~P67(x15671)+~P7(x15671,x15673,x15674)+~P7(x15671,f2(x15671),x15672)+P7(x15671,f31(f31(f8(x15671),x15672),x15673),f31(f31(f8(x15671),x15672),x15674))
% 21.27/21.38 [1568]~P68(x15681)+~P7(x15681,x15682,x15684)+~P7(x15681,f2(x15681),x15683)+P7(x15681,f31(f31(f8(x15681),x15682),x15683),f31(f31(f8(x15681),x15684),x15683))
% 21.27/21.38 [1569]~P59(x15691)+~P7(x15691,x15692,x15694)+~P7(x15691,f2(x15691),x15692)+P7(x15691,f31(f31(f14(x15691),x15692),x15693),f31(f31(f14(x15691),x15694),x15693))
% 21.27/21.38 [1571]~P57(x15711)+~P8(x15711,x15713,x15714)+~P8(x15711,f2(x15711),x15712)+P8(x15711,f31(f31(f8(x15711),x15712),x15713),f31(f31(f8(x15711),x15712),x15714))
% 21.27/21.38 [1572]~P53(x15721)+~P8(x15721,x15723,x15724)+~P8(x15721,f2(x15721),x15722)+P8(x15721,f31(f31(f8(x15721),x15722),x15723),f31(f31(f8(x15721),x15722),x15724))
% 21.27/21.38 [1573]~P56(x15731)+~P8(x15731,x15732,x15734)+~P8(x15731,f2(x15731),x15733)+P8(x15731,f31(f31(f8(x15731),x15732),x15733),f31(f31(f8(x15731),x15734),x15733))
% 21.27/21.38 [1574]~P57(x15741)+~P8(x15741,x15742,x15744)+~P8(x15741,f2(x15741),x15743)+P8(x15741,f31(f31(f8(x15741),x15742),x15743),f31(f31(f8(x15741),x15744),x15743))
% 21.27/21.38 [1575]~P56(x15751)+~P8(x15751,x15753,x15754)+~P8(x15751,f2(x15751),x15752)+P8(x15751,f31(f31(f8(x15751),x15752),x15753),f31(f31(f8(x15751),x15752),x15754))
% 21.27/21.38 [1594]~P47(x15942)+P10(x15942,x15943,x15944)+E(x15941,f2(x15942))+~P10(x15942,f31(f31(f8(x15942),x15943),x15941),f31(f31(f8(x15942),x15944),x15941))
% 21.27/21.38 [1595]~P47(x15952)+P10(x15952,x15953,x15954)+E(x15951,f2(x15952))+~P10(x15952,f31(f31(f8(x15952),x15951),x15953),f31(f31(f8(x15952),x15951),x15954))
% 21.27/21.38 [1632]P8(x16321,x16323,x16322)+~P56(x16321)+P8(x16321,x16322,x16323)+~P8(x16321,f31(f31(f8(x16321),x16324),x16322),f31(f31(f8(x16321),x16324),x16323))
% 21.27/21.38 [1633]P8(x16331,x16333,x16332)+~P56(x16331)+P8(x16331,x16332,x16333)+~P8(x16331,f31(f31(f8(x16331),x16332),x16334),f31(f31(f8(x16331),x16333),x16334))
% 21.27/21.38 [1637]~P56(x16371)+P8(x16371,x16372,x16373)+P8(x16371,x16374,f2(x16371))+~P8(x16371,f31(f31(f8(x16371),x16372),x16374),f31(f31(f8(x16371),x16373),x16374))
% 21.27/21.38 [1638]~P56(x16381)+P8(x16381,x16382,x16383)+P8(x16381,x16384,f2(x16381))+~P8(x16381,f31(f31(f8(x16381),x16384),x16382),f31(f31(f8(x16381),x16384),x16383))
% 21.27/21.38 [1639]~P56(x16391)+P8(x16391,x16392,x16393)+P8(x16391,f2(x16391),x16394)+~P8(x16391,f31(f31(f8(x16391),x16394),x16393),f31(f31(f8(x16391),x16394),x16392))
% 21.27/21.38 [1640]~P56(x16401)+P8(x16401,x16402,x16403)+P8(x16401,f2(x16401),x16404)+~P8(x16401,f31(f31(f8(x16401),x16403),x16404),f31(f31(f8(x16401),x16402),x16404))
% 21.27/21.38 [1647]~P56(x16471)+P8(x16471,f2(x16471),x16472)+P8(x16471,x16472,f2(x16471))+~P8(x16471,f31(f31(f8(x16471),x16473),x16472),f31(f31(f8(x16471),x16474),x16472))
% 21.27/21.38 [1648]~P56(x16481)+P8(x16481,f2(x16481),x16482)+P8(x16481,x16482,f2(x16481))+~P8(x16481,f31(f31(f8(x16481),x16482),x16483),f31(f31(f8(x16481),x16482),x16484))
% 21.27/21.38 [1663]~P59(x16633)+P7(a57,x16631,x16632)+~P8(x16633,f3(x16633),x16634)+~P7(x16633,f31(f31(f14(x16633),x16634),x16631),f31(f31(f14(x16633),x16634),x16632))
% 21.27/21.38 [1665]~P59(x16653)+P8(a57,x16651,x16652)+~P8(x16653,f3(x16653),x16654)+~P8(x16653,f31(f31(f14(x16653),x16654),x16651),f31(f31(f14(x16653),x16654),x16652))
% 21.27/21.38 [1666]~P56(x16661)+P7(x16661,x16662,x16663)+~P8(x16661,x16664,f2(x16661))+~P7(x16661,f31(f31(f8(x16661),x16664),x16663),f31(f31(f8(x16661),x16664),x16662))
% 21.27/21.38 [1667]~P56(x16671)+P8(x16671,x16672,x16673)+~P8(x16671,x16674,f2(x16671))+~P8(x16671,f31(f31(f8(x16671),x16674),x16673),f31(f31(f8(x16671),x16674),x16672))
% 21.27/21.38 [1668]~P56(x16681)+P7(x16681,x16682,x16683)+~P8(x16681,f2(x16681),x16684)+~P7(x16681,f31(f31(f8(x16681),x16684),x16682),f31(f31(f8(x16681),x16684),x16683))
% 21.27/21.38 [1669]~P57(x16691)+P7(x16691,x16692,x16693)+~P8(x16691,f2(x16691),x16694)+~P7(x16691,f31(f31(f8(x16691),x16694),x16692),f31(f31(f8(x16691),x16694),x16693))
% 21.27/21.38 [1670]~P57(x16701)+P7(x16701,x16702,x16703)+~P8(x16701,f2(x16701),x16704)+~P7(x16701,f31(f31(f8(x16701),x16702),x16704),f31(f31(f8(x16701),x16703),x16704))
% 21.27/21.38 [1671]~P56(x16711)+P8(x16711,x16712,x16713)+~P8(x16711,f2(x16711),x16714)+~P8(x16711,f31(f31(f8(x16711),x16714),x16712),f31(f31(f8(x16711),x16714),x16713))
% 21.27/21.38 [1672]~P57(x16721)+P8(x16721,x16722,x16723)+~P7(x16721,f2(x16721),x16724)+~P8(x16721,f31(f31(f8(x16721),x16724),x16722),f31(f31(f8(x16721),x16724),x16723))
% 21.27/21.38 [1673]~P58(x16731)+P8(x16731,x16732,x16733)+~P7(x16731,f2(x16731),x16734)+~P8(x16731,f31(f31(f8(x16731),x16734),x16732),f31(f31(f8(x16731),x16734),x16733))
% 21.27/21.38 [1674]~P57(x16741)+P8(x16741,x16742,x16743)+~P7(x16741,f2(x16741),x16744)+~P8(x16741,f31(f31(f8(x16741),x16742),x16744),f31(f31(f8(x16741),x16743),x16744))
% 21.27/21.38 [1675]~P58(x16751)+P8(x16751,x16752,x16753)+~P7(x16751,f2(x16751),x16754)+~P8(x16751,f31(f31(f8(x16751),x16752),x16754),f31(f31(f8(x16751),x16753),x16754))
% 21.27/21.38 [1676]~P59(x16761)+P8(x16761,x16762,x16763)+~P7(x16761,f2(x16761),x16763)+~P8(x16761,f31(f31(f14(x16761),x16762),x16764),f31(f31(f14(x16761),x16763),x16764))
% 21.27/21.38 [1679]~P22(x16791)+~P7(a57,f16(x16791,x16793),x16794)+~P7(a57,f16(x16791,x16792),x16794)+P7(a57,f16(x16791,f9(f61(x16791),x16792,x16793)),x16794)
% 21.27/21.38 [1680]~P22(x16801)+~P8(a57,f16(x16801,x16803),x16804)+~P8(a57,f16(x16801,x16802),x16804)+P8(a57,f16(x16801,f9(f61(x16801),x16802,x16803)),x16804)
% 21.27/21.38 [1733]~P8(a60,f2(a60),x17334)+~P8(a60,f2(a60),x17332)+P8(a60,f31(f31(f8(a60),x17331),f29(a60,x17332)),f31(f31(f8(a60),x17333),f29(a60,x17334)))+~P8(a60,f31(f31(f8(a60),x17334),x17331),f31(f31(f8(a60),x17332),x17333))
% 21.27/21.38 [1748]~P8(a60,f2(a60),x17483)+~P8(a60,f2(a60),x17481)+~P8(a60,f31(f31(f8(a60),x17483),x17482),f31(f31(f8(a60),x17481),x17484))+P8(a60,f31(f31(f8(a60),f29(a60,x17481)),x17482),f31(f31(f8(a60),f29(a60,x17483)),x17484))
% 21.27/21.38 [1767]~P59(x17671)+P7(x17671,x17672,x17673)+~P7(x17671,f2(x17671),x17673)+~P7(x17671,f31(f31(f14(x17671),x17672),f9(a57,x17674,f3(a57))),f31(f31(f14(x17671),x17673),f9(a57,x17674,f3(a57))))
% 21.27/21.38 [1698]~P74(x16983)+~P49(x16983)+P76(f31(x16981,f39(x16982,x16981,x16983)))+~P76(f31(x16981,f31(f31(f8(x16983),x16982),x16984)))
% 21.27/21.38 [1723]~P74(x17231)+~P49(x17231)+P10(x17231,x17232,f9(x17231,f39(x17232,x17233,x17231),f2(x17231)))+~P76(f31(x17233,f31(f31(f8(x17231),x17232),x17234)))
% 21.27/21.38 [1553]~P26(x15531)+~P7(x15531,x15533,x15535)+~P7(x15531,x15532,x15534)+P7(x15531,f9(x15531,x15532,x15533),f9(x15531,x15534,x15535))
% 21.27/21.38 [1554]~P24(x15541)+~P7(x15541,x15543,x15545)+~P8(x15541,x15542,x15544)+P8(x15541,f9(x15541,x15542,x15543),f9(x15541,x15544,x15545))
% 21.27/21.38 [1555]~P24(x15551)+~P7(x15551,x15552,x15554)+~P8(x15551,x15553,x15555)+P8(x15551,f9(x15551,x15552,x15553),f9(x15551,x15554,x15555))
% 21.27/21.38 [1556]~P24(x15561)+~P8(x15561,x15563,x15565)+~P8(x15561,x15562,x15564)+P8(x15561,f9(x15561,x15562,x15563),f9(x15561,x15564,x15565))
% 21.27/21.38 [1790]~P4(x17902)+~P12(x17902,x17904,x17903,x17901,x17905)+E(x17901,f2(f61(x17902)))+~E(x17903,f2(f61(x17902)))
% 21.27/21.38 [1544]~P48(x15441)+~P10(x15441,x15442,x15444)+~P7(a57,x15443,x15445)+P10(x15441,f31(f31(f14(x15441),x15442),x15443),f31(f31(f14(x15441),x15444),x15445))
% 21.27/21.38 [1546]~P48(x15461)+~P10(x15461,x15463,x15465)+~P10(x15461,x15462,x15464)+P10(x15461,f31(f31(f8(x15461),x15462),x15463),f31(f31(f8(x15461),x15464),x15465))
% 21.27/21.38 [1609]~P48(x16091)+~P7(a57,x16093,x16095)+~P10(x16091,f31(f31(f14(x16091),x16092),x16095),x16094)+P10(x16091,f31(f31(f14(x16091),x16092),x16093),x16094)
% 21.27/21.38 [1730]~P54(x17305)+E(x17301,x17302)+E(x17303,x17304)+~E(f9(x17305,f31(f31(f8(x17305),x17303),x17301),f31(f31(f8(x17305),x17304),x17302)),f9(x17305,f31(f31(f8(x17305),x17303),x17302),f31(f31(f8(x17305),x17304),x17301)))
% 21.27/21.38 [1709]~P5(x17091)+~E(f5(x17091,x17093,x17094),f5(x17091,x17096,x17094))+~E(f5(x17091,x17092,x17094),f5(x17091,x17095,x17094))+E(f5(x17091,f9(x17091,x17092,x17093),x17094),f5(x17091,f9(x17091,x17095,x17096),x17094))
% 21.27/21.38 [1801]~P4(x18012)+~P12(x18012,x18013,x18014,x18015,x18016)+P12(x18012,x18013,f24(x18012,x18011,x18014),f24(x18012,f29(x18012,x18011),x18015),x18016)+E(x18011,f2(x18012))
% 21.27/21.38 [1806]E(x18061,x18062)+~P12(x18063,x18064,x18065,x18066,x18061)+~P12(x18063,x18064,x18065,x18067,x18062)+~P4(x18063)
% 21.27/21.38 [1807]E(x18071,x18072)+~P12(x18073,x18074,x18075,x18072,x18076)+~P12(x18073,x18074,x18075,x18071,x18077)+~P4(x18073)
% 21.27/21.38 [1811]~P4(x18111)+~P12(x18111,x18112,x18113,x18118,x18117)+~P12(x18111,x18118,x18114,x18115,x18116)+P12(x18111,x18112,f31(f31(f8(f61(x18111)),x18113),x18114),x18115,f9(f61(x18111),f31(f31(f8(f61(x18111)),x18113),x18116),x18117))
% 21.27/21.38 [1404]E(x14041,x14042)+~P10(a58,x14042,x14041)+~P10(a58,x14041,x14042)+~P7(a58,f2(a58),x14042)+~P7(a58,f2(a58),x14041)
% 21.27/21.38 [673]~P50(x6733)+E(x6731,x6732)+~E(f29(x6733,x6731),f29(x6733,x6732))+E(x6732,f2(x6733))+E(x6731,f2(x6733))
% 21.27/21.38 [1288]~P34(x12882)+~P7(x12882,f2(x12882),x12883)+~P7(x12882,f2(x12882),x12881)+~E(f9(x12882,x12883,x12881),f2(x12882))+E(x12881,f2(x12882))
% 21.27/21.38 [1289]~P34(x12892)+~P7(x12892,f2(x12892),x12893)+~P7(x12892,f2(x12892),x12891)+~E(f9(x12892,x12891,x12893),f2(x12892))+E(x12891,f2(x12892))
% 21.27/21.38 [1583]~P8(a57,x15831,x15833)+P7(a60,f11(x15831,x15832),f11(x15833,x15832))+~P7(a60,x15832,f3(a60))+~P7(a60,f2(a60),x15832)+~P8(a57,f2(a57),x15831)
% 21.27/21.38 [1584]~P8(a57,x15841,x15843)+P8(a60,f11(x15841,x15842),f11(x15843,x15842))+~P8(a60,x15842,f3(a60))+~P8(a57,f2(a57),x15841)+~P8(a60,f2(a60),x15842)
% 21.27/21.38 [1281]~P23(x12812)+~P7(a57,f16(x12812,x12811),x12813)+P8(a57,f16(x12812,x12811),x12813)+~E(f31(f17(x12812,x12811),x12813),f2(x12812))+E(x12811,f2(f61(x12812)))
% 21.27/21.38 [1502]~P47(x15023)+E(x15021,x15022)+~P10(f61(x15023),x15022,x15021)+~P10(f61(x15023),x15021,x15022)+~E(f31(f17(x15023,x15021),f16(x15023,x15021)),f31(f17(x15023,x15022),f16(x15023,x15022)))
% 21.27/21.38 [1417]E(x14171,f43(x14172,x14173))+~P8(a57,f2(a57),x14173)+~P8(a60,f2(a60),x14172)+~P8(a60,f2(a60),x14171)+~E(f31(f31(f14(a60),x14171),x14173),x14172)
% 21.27/21.38 [1576]~P52(x15761)+~P7(x15761,x15762,f3(x15761))+~P7(x15761,f2(x15761),x15762)+~P7(x15761,f2(x15761),x15763)+P7(x15761,f31(f31(f8(x15761),x15762),x15763),x15763)
% 21.27/21.38 [1577]~P52(x15771)+~P7(x15771,x15773,f3(x15771))+~P7(x15771,f2(x15771),x15773)+~P7(x15771,f2(x15771),x15772)+P7(x15771,f31(f31(f8(x15771),x15772),x15773),x15772)
% 21.27/21.38 [1649]~P59(x16491)+~P8(x16491,x16492,x16494)+~P7(x16491,f2(x16491),x16492)+~P8(a57,f2(a57),x16493)+P8(x16491,f31(f31(f14(x16491),x16492),x16493),f31(f31(f14(x16491),x16494),x16493))
% 21.27/21.38 [1651]~P59(x16511)+~P7(a57,x16514,x16513)+~P7(x16511,x16512,f3(x16511))+~P7(x16511,f2(x16511),x16512)+P7(x16511,f31(f31(f14(x16511),x16512),x16513),f31(f31(f14(x16511),x16512),x16514))
% 21.27/21.38 [1652]~P59(x16521)+~P8(a57,x16524,x16523)+~P8(x16521,x16522,f3(x16521))+~P8(x16521,f2(x16521),x16522)+P8(x16521,f31(f31(f14(x16521),x16522),x16523),f31(f31(f14(x16521),x16522),x16524))
% 21.27/21.38 [1715]~P59(x17153)+E(x17151,x17152)+~P7(x17153,f2(x17153),x17152)+~P7(x17153,f2(x17153),x17151)+~E(f31(f31(f14(x17153),x17151),f9(a57,x17154,f3(a57))),f31(f31(f14(x17153),x17152),f9(a57,x17154,f3(a57))))
% 21.27/21.38 [1750]~P74(x17502)+~P49(x17502)+~P10(x17502,x17503,f9(x17502,x17504,f2(x17502)))+~P76(f31(x17501,x17504))+P76(f31(x17501,f31(f31(f8(x17502),x17503),f41(x17503,x17501,x17502))))
% 21.27/21.38 [1759]~P7(a58,f2(a58),x17592)+~P8(a58,f2(a58),x17593)+~P76(f31(x17591,x17594))+P76(f31(x17591,f42(x17592,x17591,x17593)))+P76(f31(x17591,f9(a58,x17594,f31(f31(f8(a58),x17592),x17593))))
% 21.27/21.38 [1789]~P7(a58,f2(a58),x17893)+~P8(a58,f2(a58),x17894)+~P76(f31(x17891,x17892))+~P76(f31(x17891,f9(a58,f42(x17893,x17891,x17894),x17894)))+P76(f31(x17891,f9(a58,x17892,f31(f31(f8(a58),x17893),x17894))))
% 21.27/21.38 [1795]~P4(x17952)+~P12(x17952,x17954,x17953,x17955,x17951)+P8(a57,f16(x17952,x17951),f16(x17952,x17953))+E(x17951,f2(f61(x17952)))+E(x17953,f2(f61(x17952)))
% 21.27/21.38 [1772]P7(a58,x17721,x17722)+~P8(a58,x17723,x17724)+~P8(a58,x17723,x17725)+~P7(a58,x17724,f2(a58))+~P7(a58,f9(a58,f31(f31(f8(a58),x17723),x17722),x17725),f9(a58,f31(f31(f8(a58),x17723),x17721),x17724))
% 21.27/21.38 [1773]P7(a58,x17731,x17732)+~P8(a58,x17733,x17734)+~P8(a58,x17735,x17734)+~P7(a58,f2(a58),x17735)+~P7(a58,f9(a58,f31(f31(f8(a58),x17734),x17731),x17735),f9(a58,f31(f31(f8(a58),x17734),x17732),x17733))
% 21.27/21.38 [1780]~P4(x17802)+P12(x17802,x17803,x17801,x17804,x17805)+E(x17801,f2(f61(x17802)))+~E(x17805,f2(f61(x17802)))+~E(x17803,f9(f61(x17802),f31(f31(f8(f61(x17802)),x17804),x17801),x17805))
% 21.27/21.38 [1781]~P4(x17811)+P12(x17811,x17812,x17813,x17814,x17815)+~E(x17814,f2(f61(x17811)))+~E(x17815,f2(f61(x17811)))+~E(x17812,f9(f61(x17811),f31(f31(f8(f61(x17811)),x17814),x17813),x17815))
% 21.27/21.38 [1782]~P4(x17821)+P12(x17821,x17822,x17823,x17824,x17825)+~E(x17824,f2(f61(x17821)))+~E(x17823,f2(f61(x17821)))+~E(x17822,f9(f61(x17821),f31(f31(f8(f61(x17821)),x17824),x17823),x17825))
% 21.27/21.38 [1784]~P4(x17842)+P12(x17842,x17843,x17841,x17844,x17845)+~P8(a57,f16(x17842,x17845),f16(x17842,x17841))+E(x17841,f2(f61(x17842)))+~E(x17843,f9(f61(x17842),f31(f31(f8(f61(x17842)),x17844),x17841),x17845))
% 21.27/21.38 [1785]~P4(x17851)+P12(x17851,x17852,x17853,x17854,x17855)+~P8(a57,f16(x17851,x17855),f16(x17851,x17853))+~E(x17854,f2(f61(x17851)))+~E(x17852,f9(f61(x17851),f31(f31(f8(f61(x17851)),x17854),x17853),x17855))
% 21.27/21.38 [1625]~P54(x16254)+E(x16251,x16252)+~E(x16255,x16256)+E(x16253,f2(x16254))+~E(f9(x16254,x16255,f31(f31(f8(x16254),x16253),x16251)),f9(x16254,x16256,f31(f31(f8(x16254),x16253),x16252)))
% 21.27/21.38 [1236]~P34(x12361)+~P7(x12361,f2(x12361),x12363)+~P7(x12361,f2(x12361),x12362)+~E(x12363,f2(x12361))+~E(x12362,f2(x12361))+E(f9(x12361,x12362,x12363),f2(x12361))
% 21.27/21.38 [854]~P62(x8542)+~P64(x8542)+~P73(x8542)+~P44(x8542)+E(x8541,f2(x8542))+~E(f31(f31(f14(x8542),x8541),x8543),f2(x8542))
% 21.27/21.38 [855]~P62(x8552)+~P64(x8552)+~P73(x8552)+~P44(x8552)+~E(x8551,f2(a57))+~E(f31(f31(f14(x8552),x8553),x8551),f2(x8552))
% 21.27/21.38 [1581]~P59(x15813)+E(x15811,x15812)+~P7(x15813,f2(x15813),x15812)+~P7(x15813,f2(x15813),x15811)+~P8(a57,f2(a57),x15814)+~E(f31(f31(f14(x15813),x15811),x15814),f31(f31(f14(x15813),x15812),x15814))
% 21.27/21.38 [1699]~P68(x16991)+~P7(x16991,x16993,x16995)+~P7(x16991,x16992,x16994)+~P7(x16991,f2(x16991),x16993)+~P7(x16991,f2(x16991),x16994)+P7(x16991,f31(f31(f8(x16991),x16992),x16993),f31(f31(f8(x16991),x16994),x16995))
% 21.27/21.38 [1700]~P68(x17001)+~P7(x17001,x17003,x17005)+~P7(x17001,x17002,x17004)+~P7(x17001,f2(x17001),x17003)+~P7(x17001,f2(x17001),x17002)+P7(x17001,f31(f31(f8(x17001),x17002),x17003),f31(f31(f8(x17001),x17004),x17005))
% 21.27/21.38 [1701]~P57(x17011)+~P7(x17011,x17013,x17015)+~P8(x17011,x17012,x17014)+~P7(x17011,f2(x17011),x17012)+~P8(x17011,f2(x17011),x17013)+P8(x17011,f31(f31(f8(x17011),x17012),x17013),f31(f31(f8(x17011),x17014),x17015))
% 21.27/21.38 [1702]~P57(x17021)+~P7(x17021,x17022,x17024)+~P8(x17021,x17023,x17025)+~P7(x17021,f2(x17021),x17023)+~P8(x17021,f2(x17021),x17022)+P8(x17021,f31(f31(f8(x17021),x17022),x17023),f31(f31(f8(x17021),x17024),x17025))
% 21.27/21.38 [1703]~P57(x17031)+~P8(x17031,x17033,x17035)+~P8(x17031,x17032,x17034)+~P7(x17031,f2(x17031),x17033)+~P7(x17031,f2(x17031),x17032)+P8(x17031,f31(f31(f8(x17031),x17032),x17033),f31(f31(f8(x17031),x17034),x17035))
% 21.27/21.38 [1704]~P57(x17041)+~P8(x17041,x17043,x17045)+~P8(x17041,x17042,x17044)+~P7(x17041,f2(x17041),x17043)+~P8(x17041,f2(x17041),x17044)+P8(x17041,f31(f31(f8(x17041),x17042),x17043),f31(f31(f8(x17041),x17044),x17045))
% 21.27/21.38 [787]~P62(x7872)+~P64(x7872)+~P73(x7872)+~P44(x7872)+~E(x7873,f2(x7872))+E(x7871,f2(a57))+E(f31(f31(f14(x7872),x7873),x7871),f2(x7872))
% 21.27/21.38 [1741]~P4(x17412)+P10(f61(x17412),f40(x17411,x17413,x17414,x17412),x17413)+~P10(f61(x17412),x17414,x17413)+~P10(f61(x17412),x17414,x17411)+E(f25(x17412,x17413,x17411),x17414)+~E(f31(f17(x17412,x17414),f16(x17412,x17414)),f3(x17412))+E(x17411,f2(f61(x17412)))
% 21.27/21.38 [1742]~P4(x17422)+P10(f61(x17422),f40(x17421,x17423,x17424,x17422),x17421)+~P10(f61(x17422),x17424,x17423)+~P10(f61(x17422),x17424,x17421)+E(f25(x17422,x17423,x17421),x17424)+~E(f31(f17(x17422,x17424),f16(x17422,x17424)),f3(x17422))+E(x17421,f2(f61(x17422)))
% 21.27/21.38 [1743]~P4(x17432)+P10(f61(x17432),f40(x17433,x17431,x17434,x17432),x17433)+~P10(f61(x17432),x17434,x17433)+~P10(f61(x17432),x17434,x17431)+E(f25(x17432,x17431,x17433),x17434)+~E(f31(f17(x17432,x17434),f16(x17432,x17434)),f3(x17432))+E(x17431,f2(f61(x17432)))
% 21.27/21.38 [1744]~P4(x17442)+P10(f61(x17442),f40(x17443,x17441,x17444,x17442),x17441)+~P10(f61(x17442),x17444,x17443)+~P10(f61(x17442),x17444,x17441)+E(f25(x17442,x17441,x17443),x17444)+~E(f31(f17(x17442,x17444),f16(x17442,x17444)),f3(x17442))+E(x17441,f2(f61(x17442)))
% 21.27/21.38 [1752]~P4(x17521)+P10(f61(x17521),f40(x17523,x17522,x17524,x17521),x17523)+~P10(f61(x17521),x17524,x17523)+~P10(f61(x17521),x17524,x17522)+E(f25(x17521,x17522,x17523),x17524)+~E(f31(f17(x17521,x17524),f16(x17521,x17524)),f2(x17521))+~E(f31(f17(x17521,x17524),f16(x17521,x17524)),f3(x17521))
% 21.27/21.38 [1753]~P4(x17531)+P10(f61(x17531),f40(x17533,x17532,x17534,x17531),x17532)+~P10(f61(x17531),x17534,x17533)+~P10(f61(x17531),x17534,x17532)+E(f25(x17531,x17532,x17533),x17534)+~E(f31(f17(x17531,x17534),f16(x17531,x17534)),f2(x17531))+~E(f31(f17(x17531,x17534),f16(x17531,x17534)),f3(x17531))
% 21.27/21.38 [1763]~P4(x17632)+~P10(f61(x17632),f40(x17631,x17633,x17634,x17632),x17634)+~P10(f61(x17632),x17634,x17633)+~P10(f61(x17632),x17634,x17631)+E(f25(x17632,x17633,x17631),x17634)+~E(f31(f17(x17632,x17634),f16(x17632,x17634)),f3(x17632))+E(x17631,f2(f61(x17632)))
% 21.27/21.38 [1764]~P4(x17642)+~P10(f61(x17642),f40(x17643,x17641,x17644,x17642),x17644)+~P10(f61(x17642),x17644,x17643)+~P10(f61(x17642),x17644,x17641)+E(f25(x17642,x17641,x17643),x17644)+~E(f31(f17(x17642,x17644),f16(x17642,x17644)),f3(x17642))+E(x17641,f2(f61(x17642)))
% 21.27/21.38 [1774]~P4(x17741)+~P10(f61(x17741),x17744,x17743)+~P10(f61(x17741),x17744,x17742)+~P10(f61(x17741),f40(x17743,x17742,x17744,x17741),x17744)+E(f25(x17741,x17742,x17743),x17744)+~E(f31(f17(x17741,x17744),f16(x17741,x17744)),f2(x17741))+~E(f31(f17(x17741,x17744),f16(x17741,x17744)),f3(x17741))
% 21.27/21.38 [1754]~P61(x17541)+~P7(x17541,x17545,x17546)+~P7(x17541,x17543,x17546)+~P7(x17541,f2(x17541),x17544)+~P7(x17541,f2(x17541),x17542)+~E(f9(x17541,x17542,x17544),f3(x17541))+P7(x17541,f9(x17541,f31(f31(f8(x17541),x17542),x17543),f31(f31(f8(x17541),x17544),x17545)),x17546)
% 21.27/21.38 [1755]~P60(x17551)+~P8(x17551,x17555,x17556)+~P8(x17551,x17553,x17556)+~P7(x17551,f2(x17551),x17554)+~P7(x17551,f2(x17551),x17552)+~E(f9(x17551,x17552,x17554),f3(x17551))+P8(x17551,f9(x17551,f31(f31(f8(x17551),x17552),x17553),f31(f31(f8(x17551),x17554),x17555)),x17556)
% 21.27/21.38 [1777]~P7(a58,x17775,x17773)+~P8(a58,x17776,x17775)+P7(a58,x17771,x17772)+~P7(a58,f2(a58),x17774)+~P8(a58,f2(a58),x17775)+~P7(a58,f2(a58),f9(a58,f31(f31(f8(a58),x17775),x17772),x17776))+~E(f9(a58,f31(f31(f8(a58),x17773),x17771),x17774),f9(a58,f31(f31(f8(a58),x17775),x17772),x17776))
% 21.27/21.38 [1778]~P7(a58,x17785,x17783)+~P8(a58,x17784,x17783)+P7(a58,x17781,x17782)+~P7(a58,f2(a58),x17786)+~P8(a58,f2(a58),x17785)+~P8(a58,f9(a58,f31(f31(f8(a58),x17785),x17781),x17786),f2(a58))+~E(f9(a58,f31(f31(f8(a58),x17783),x17782),x17784),f9(a58,f31(f31(f8(a58),x17785),x17781),x17786))
% 21.27/21.38 [1746]~P4(x17461)+P10(f61(x17461),f40(x17463,x17462,x17464,x17461),x17463)+~P10(f61(x17461),x17464,x17463)+~P10(f61(x17461),x17464,x17462)+E(f25(x17461,x17462,x17463),x17464)+~E(x17463,f2(f61(x17461)))+~E(x17462,f2(f61(x17461)))+~E(f31(f17(x17461,x17464),f16(x17461,x17464)),f2(x17461))
% 21.27/21.38 [1747]~P4(x17471)+P10(f61(x17471),f40(x17473,x17472,x17474,x17471),x17472)+~P10(f61(x17471),x17474,x17473)+~P10(f61(x17471),x17474,x17472)+E(f25(x17471,x17472,x17473),x17474)+~E(x17473,f2(f61(x17471)))+~E(x17472,f2(f61(x17471)))+~E(f31(f17(x17471,x17474),f16(x17471,x17474)),f2(x17471))
% 21.27/21.38 [1771]~P4(x17711)+~P10(f61(x17711),x17714,x17713)+~P10(f61(x17711),x17714,x17712)+~P10(f61(x17711),f40(x17713,x17712,x17714,x17711),x17714)+E(f25(x17711,x17712,x17713),x17714)+~E(x17713,f2(f61(x17711)))+~E(x17712,f2(f61(x17711)))+~E(f31(f17(x17711,x17714),f16(x17711,x17714)),f2(x17711))
% 21.27/21.38 %EqnAxiom
% 21.27/21.38 [1]E(x11,x11)
% 21.27/21.38 [2]E(x22,x21)+~E(x21,x22)
% 21.27/21.38 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 21.27/21.38 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 21.27/21.38 [5]~E(x51,x52)+E(f10(x51),f10(x52))
% 21.27/21.38 [6]~E(x61,x62)+E(f26(x61,x63,x64,x65,x66),f26(x62,x63,x64,x65,x66))
% 21.27/21.38 [7]~E(x71,x72)+E(f26(x73,x71,x74,x75,x76),f26(x73,x72,x74,x75,x76))
% 21.27/21.38 [8]~E(x81,x82)+E(f26(x83,x84,x81,x85,x86),f26(x83,x84,x82,x85,x86))
% 21.27/21.38 [9]~E(x91,x92)+E(f26(x93,x94,x95,x91,x96),f26(x93,x94,x95,x92,x96))
% 21.27/21.38 [10]~E(x101,x102)+E(f26(x103,x104,x105,x106,x101),f26(x103,x104,x105,x106,x102))
% 21.27/21.38 [11]~E(x111,x112)+E(f3(x111),f3(x112))
% 21.27/21.38 [12]~E(x121,x122)+E(f9(x121,x123,x124),f9(x122,x123,x124))
% 21.27/21.38 [13]~E(x131,x132)+E(f9(x133,x131,x134),f9(x133,x132,x134))
% 21.27/21.38 [14]~E(x141,x142)+E(f9(x143,x144,x141),f9(x143,x144,x142))
% 21.27/21.38 [15]~E(x151,x152)+E(f14(x151),f14(x152))
% 21.27/21.38 [16]~E(x161,x162)+E(f21(x161,x163,x164),f21(x162,x163,x164))
% 21.27/21.38 [17]~E(x171,x172)+E(f21(x173,x171,x174),f21(x173,x172,x174))
% 21.27/21.38 [18]~E(x181,x182)+E(f21(x183,x184,x181),f21(x183,x184,x182))
% 21.27/21.38 [19]~E(x191,x192)+E(f28(x191),f28(x192))
% 21.27/21.38 [20]~E(x201,x202)+E(f31(x201,x203),f31(x202,x203))
% 21.27/21.38 [21]~E(x211,x212)+E(f31(x213,x211),f31(x213,x212))
% 21.27/21.38 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 21.27/21.38 [23]~E(x231,x232)+E(f16(x231,x233),f16(x232,x233))
% 21.27/21.38 [24]~E(x241,x242)+E(f16(x243,x241),f16(x243,x242))
% 21.27/21.38 [25]~E(x251,x252)+E(f47(x251),f47(x252))
% 21.27/21.38 [26]~E(x261,x262)+E(f13(x261,x263,x264,x265),f13(x262,x263,x264,x265))
% 21.27/21.38 [27]~E(x271,x272)+E(f13(x273,x271,x274,x275),f13(x273,x272,x274,x275))
% 21.27/21.38 [28]~E(x281,x282)+E(f13(x283,x284,x281,x285),f13(x283,x284,x282,x285))
% 21.27/21.38 [29]~E(x291,x292)+E(f13(x293,x294,x295,x291),f13(x293,x294,x295,x292))
% 21.27/21.38 [30]~E(x301,x302)+E(f7(x301,x303),f7(x302,x303))
% 21.27/21.38 [31]~E(x311,x312)+E(f7(x313,x311),f7(x313,x312))
% 21.27/21.38 [32]~E(x321,x322)+E(f61(x321),f61(x322))
% 21.27/21.38 [33]~E(x331,x332)+E(f33(x331,x333),f33(x332,x333))
% 21.27/21.38 [34]~E(x341,x342)+E(f33(x343,x341),f33(x343,x342))
% 21.27/21.38 [35]~E(x351,x352)+E(f29(x351,x353),f29(x352,x353))
% 21.27/21.38 [36]~E(x361,x362)+E(f29(x363,x361),f29(x363,x362))
% 21.27/21.38 [37]~E(x371,x372)+E(f24(x371,x373,x374),f24(x372,x373,x374))
% 21.27/21.38 [38]~E(x381,x382)+E(f24(x383,x381,x384),f24(x383,x382,x384))
% 21.27/21.38 [39]~E(x391,x392)+E(f24(x393,x394,x391),f24(x393,x394,x392))
% 21.27/21.38 [40]~E(x401,x402)+E(f25(x401,x403,x404),f25(x402,x403,x404))
% 21.27/21.38 [41]~E(x411,x412)+E(f25(x413,x411,x414),f25(x413,x412,x414))
% 21.27/21.38 [42]~E(x421,x422)+E(f25(x423,x424,x421),f25(x423,x424,x422))
% 21.27/21.38 [43]~E(x431,x432)+E(f30(x431,x433),f30(x432,x433))
% 21.27/21.38 [44]~E(x441,x442)+E(f30(x443,x441),f30(x443,x442))
% 21.27/21.38 [45]~E(x451,x452)+E(f11(x451,x453),f11(x452,x453))
% 21.27/21.38 [46]~E(x461,x462)+E(f11(x463,x461),f11(x463,x462))
% 21.27/21.38 [47]~E(x471,x472)+E(f17(x471,x473),f17(x472,x473))
% 21.27/21.38 [48]~E(x481,x482)+E(f17(x483,x481),f17(x483,x482))
% 21.27/21.38 [49]~E(x491,x492)+E(f6(x491,x493,x494),f6(x492,x493,x494))
% 21.27/21.38 [50]~E(x501,x502)+E(f6(x503,x501,x504),f6(x503,x502,x504))
% 21.27/21.38 [51]~E(x511,x512)+E(f6(x513,x514,x511),f6(x513,x514,x512))
% 21.27/21.38 [52]~E(x521,x522)+E(f19(x521,x523,x524),f19(x522,x523,x524))
% 21.27/21.38 [53]~E(x531,x532)+E(f19(x533,x531,x534),f19(x533,x532,x534))
% 21.27/21.38 [54]~E(x541,x542)+E(f19(x543,x544,x541),f19(x543,x544,x542))
% 21.27/21.38 [55]~E(x551,x552)+E(f23(x551,x553,x554),f23(x552,x553,x554))
% 21.27/21.38 [56]~E(x561,x562)+E(f23(x563,x561,x564),f23(x563,x562,x564))
% 21.27/21.38 [57]~E(x571,x572)+E(f23(x573,x574,x571),f23(x573,x574,x572))
% 21.27/21.38 [58]~E(x581,x582)+E(f5(x581,x583,x584),f5(x582,x583,x584))
% 21.27/21.38 [59]~E(x591,x592)+E(f5(x593,x591,x594),f5(x593,x592,x594))
% 21.27/21.38 [60]~E(x601,x602)+E(f5(x603,x604,x601),f5(x603,x604,x602))
% 21.27/21.38 [61]~E(x611,x612)+E(f27(x611,x613,x614),f27(x612,x613,x614))
% 21.27/21.38 [62]~E(x621,x622)+E(f27(x623,x621,x624),f27(x623,x622,x624))
% 21.27/21.38 [63]~E(x631,x632)+E(f27(x633,x634,x631),f27(x633,x634,x632))
% 21.27/21.38 [64]~E(x641,x642)+E(f52(x641,x643,x644),f52(x642,x643,x644))
% 21.27/21.38 [65]~E(x651,x652)+E(f52(x653,x651,x654),f52(x653,x652,x654))
% 21.27/21.38 [66]~E(x661,x662)+E(f52(x663,x664,x661),f52(x663,x664,x662))
% 21.27/21.38 [67]~E(x671,x672)+E(f36(x671,x673),f36(x672,x673))
% 21.27/21.38 [68]~E(x681,x682)+E(f36(x683,x681),f36(x683,x682))
% 21.27/21.38 [69]~E(x691,x692)+E(f18(x691,x693),f18(x692,x693))
% 21.27/21.38 [70]~E(x701,x702)+E(f18(x703,x701),f18(x703,x702))
% 21.27/21.38 [71]~E(x711,x712)+E(f63(x711,x713),f63(x712,x713))
% 21.27/21.38 [72]~E(x721,x722)+E(f63(x723,x721),f63(x723,x722))
% 21.27/21.38 [73]~E(x731,x732)+E(f35(x731,x733),f35(x732,x733))
% 21.27/21.38 [74]~E(x741,x742)+E(f35(x743,x741),f35(x743,x742))
% 21.27/21.38 [75]~E(x751,x752)+E(f40(x751,x753,x754,x755),f40(x752,x753,x754,x755))
% 21.27/21.38 [76]~E(x761,x762)+E(f40(x763,x761,x764,x765),f40(x763,x762,x764,x765))
% 21.27/21.38 [77]~E(x771,x772)+E(f40(x773,x774,x771,x775),f40(x773,x774,x772,x775))
% 21.27/21.38 [78]~E(x781,x782)+E(f40(x783,x784,x785,x781),f40(x783,x784,x785,x782))
% 21.27/21.38 [79]~E(x791,x792)+E(f53(x791,x793,x794,x795),f53(x792,x793,x794,x795))
% 21.27/21.38 [80]~E(x801,x802)+E(f53(x803,x801,x804,x805),f53(x803,x802,x804,x805))
% 21.27/21.38 [81]~E(x811,x812)+E(f53(x813,x814,x811,x815),f53(x813,x814,x812,x815))
% 21.27/21.38 [82]~E(x821,x822)+E(f53(x823,x824,x825,x821),f53(x823,x824,x825,x822))
% 21.27/21.38 [83]~E(x831,x832)+E(f15(x831,x833),f15(x832,x833))
% 21.27/21.38 [84]~E(x841,x842)+E(f15(x843,x841),f15(x843,x842))
% 21.27/21.38 [85]~E(x851,x852)+E(f12(x851,x853,x854),f12(x852,x853,x854))
% 21.27/21.38 [86]~E(x861,x862)+E(f12(x863,x861,x864),f12(x863,x862,x864))
% 21.27/21.38 [87]~E(x871,x872)+E(f12(x873,x874,x871),f12(x873,x874,x872))
% 21.27/21.38 [88]~E(x881,x882)+E(f37(x881,x883,x884),f37(x882,x883,x884))
% 21.27/21.38 [89]~E(x891,x892)+E(f37(x893,x891,x894),f37(x893,x892,x894))
% 21.27/21.38 [90]~E(x901,x902)+E(f37(x903,x904,x901),f37(x903,x904,x902))
% 21.27/21.38 [91]~E(x911,x912)+E(f43(x911,x913),f43(x912,x913))
% 21.27/21.38 [92]~E(x921,x922)+E(f43(x923,x921),f43(x923,x922))
% 21.27/21.38 [93]~E(x931,x932)+E(f39(x931,x933,x934),f39(x932,x933,x934))
% 21.27/21.38 [94]~E(x941,x942)+E(f39(x943,x941,x944),f39(x943,x942,x944))
% 21.27/21.38 [95]~E(x951,x952)+E(f39(x953,x954,x951),f39(x953,x954,x952))
% 21.27/21.38 [96]~E(x961,x962)+E(f4(x961,x963),f4(x962,x963))
% 21.27/21.38 [97]~E(x971,x972)+E(f4(x973,x971),f4(x973,x972))
% 21.27/21.38 [98]~E(x981,x982)+E(f48(x981),f48(x982))
% 21.27/21.38 [99]~E(x991,x992)+E(f32(x991,x993),f32(x992,x993))
% 21.27/21.38 [100]~E(x1001,x1002)+E(f32(x1003,x1001),f32(x1003,x1002))
% 21.27/21.38 [101]~E(x1011,x1012)+E(f41(x1011,x1013,x1014),f41(x1012,x1013,x1014))
% 21.27/21.38 [102]~E(x1021,x1022)+E(f41(x1023,x1021,x1024),f41(x1023,x1022,x1024))
% 21.27/21.38 [103]~E(x1031,x1032)+E(f41(x1033,x1034,x1031),f41(x1033,x1034,x1032))
% 21.27/21.38 [104]~E(x1041,x1042)+E(f49(x1041),f49(x1042))
% 21.27/21.38 [105]~E(x1051,x1052)+E(f54(x1051,x1053),f54(x1052,x1053))
% 21.27/21.38 [106]~E(x1061,x1062)+E(f54(x1063,x1061),f54(x1063,x1062))
% 21.27/21.38 [107]~E(x1071,x1072)+E(f56(x1071,x1073),f56(x1072,x1073))
% 21.27/21.38 [108]~E(x1081,x1082)+E(f56(x1083,x1081),f56(x1083,x1082))
% 21.27/21.38 [109]~E(x1091,x1092)+E(f22(x1091,x1093,x1094),f22(x1092,x1093,x1094))
% 21.27/21.38 [110]~E(x1101,x1102)+E(f22(x1103,x1101,x1104),f22(x1103,x1102,x1104))
% 21.27/21.38 [111]~E(x1111,x1112)+E(f22(x1113,x1114,x1111),f22(x1113,x1114,x1112))
% 21.27/21.38 [112]~E(x1121,x1122)+E(f20(x1121,x1123,x1124),f20(x1122,x1123,x1124))
% 21.27/21.38 [113]~E(x1131,x1132)+E(f20(x1133,x1131,x1134),f20(x1133,x1132,x1134))
% 21.27/21.38 [114]~E(x1141,x1142)+E(f20(x1143,x1144,x1141),f20(x1143,x1144,x1142))
% 21.27/21.38 [115]~E(x1151,x1152)+E(f44(x1151,x1153),f44(x1152,x1153))
% 21.27/21.38 [116]~E(x1161,x1162)+E(f44(x1163,x1161),f44(x1163,x1162))
% 21.27/21.38 [117]~E(x1171,x1172)+E(f46(x1171,x1173),f46(x1172,x1173))
% 21.27/21.38 [118]~E(x1181,x1182)+E(f46(x1183,x1181),f46(x1183,x1182))
% 21.27/21.38 [119]~E(x1191,x1192)+E(f45(x1191,x1193),f45(x1192,x1193))
% 21.27/21.38 [120]~E(x1201,x1202)+E(f45(x1203,x1201),f45(x1203,x1202))
% 21.27/21.38 [121]~E(x1211,x1212)+E(f42(x1211,x1213,x1214),f42(x1212,x1213,x1214))
% 21.27/21.38 [122]~E(x1221,x1222)+E(f42(x1223,x1221,x1224),f42(x1223,x1222,x1224))
% 21.27/21.38 [123]~E(x1231,x1232)+E(f42(x1233,x1234,x1231),f42(x1233,x1234,x1232))
% 21.27/21.38 [124]~E(x1241,x1242)+E(f38(x1241,x1243,x1244),f38(x1242,x1243,x1244))
% 21.27/21.38 [125]~E(x1251,x1252)+E(f38(x1253,x1251,x1254),f38(x1253,x1252,x1254))
% 21.27/21.38 [126]~E(x1261,x1262)+E(f38(x1263,x1264,x1261),f38(x1263,x1264,x1262))
% 21.27/21.38 [127]~E(x1271,x1272)+E(f51(x1271,x1273),f51(x1272,x1273))
% 21.27/21.38 [128]~E(x1281,x1282)+E(f51(x1283,x1281),f51(x1283,x1282))
% 21.27/21.38 [129]~E(x1291,x1292)+E(f34(x1291,x1293),f34(x1292,x1293))
% 21.27/21.38 [130]~E(x1301,x1302)+E(f34(x1303,x1301),f34(x1303,x1302))
% 21.27/21.38 [131]~E(x1311,x1312)+E(f50(x1311),f50(x1312))
% 21.27/21.38 [132]~E(x1321,x1322)+E(f55(x1321,x1323),f55(x1322,x1323))
% 21.27/21.38 [133]~E(x1331,x1332)+E(f55(x1333,x1331),f55(x1333,x1332))
% 21.27/21.38 [134]~P1(x1341)+P1(x1342)+~E(x1341,x1342)
% 21.27/21.38 [135]~P23(x1351)+P23(x1352)+~E(x1351,x1352)
% 21.27/21.38 [136]P12(x1362,x1363,x1364,x1365,x1366)+~E(x1361,x1362)+~P12(x1361,x1363,x1364,x1365,x1366)
% 21.27/21.38 [137]P12(x1373,x1372,x1374,x1375,x1376)+~E(x1371,x1372)+~P12(x1373,x1371,x1374,x1375,x1376)
% 21.27/21.38 [138]P12(x1383,x1384,x1382,x1385,x1386)+~E(x1381,x1382)+~P12(x1383,x1384,x1381,x1385,x1386)
% 21.27/21.38 [139]P12(x1393,x1394,x1395,x1392,x1396)+~E(x1391,x1392)+~P12(x1393,x1394,x1395,x1391,x1396)
% 21.27/21.38 [140]P12(x1403,x1404,x1405,x1406,x1402)+~E(x1401,x1402)+~P12(x1403,x1404,x1405,x1406,x1401)
% 21.27/21.38 [141]P8(x1412,x1413,x1414)+~E(x1411,x1412)+~P8(x1411,x1413,x1414)
% 21.27/21.38 [142]P8(x1423,x1422,x1424)+~E(x1421,x1422)+~P8(x1423,x1421,x1424)
% 21.27/21.38 [143]P8(x1433,x1434,x1432)+~E(x1431,x1432)+~P8(x1433,x1434,x1431)
% 21.27/21.38 [144]~P2(x1441)+P2(x1442)+~E(x1441,x1442)
% 21.27/21.38 [145]P7(x1452,x1453,x1454)+~E(x1451,x1452)+~P7(x1451,x1453,x1454)
% 21.27/21.38 [146]P7(x1463,x1462,x1464)+~E(x1461,x1462)+~P7(x1463,x1461,x1464)
% 21.27/21.38 [147]P7(x1473,x1474,x1472)+~E(x1471,x1472)+~P7(x1473,x1474,x1471)
% 21.27/21.38 [148]~P34(x1481)+P34(x1482)+~E(x1481,x1482)
% 21.27/21.38 [149]~P47(x1491)+P47(x1492)+~E(x1491,x1492)
% 21.27/21.38 [150]P10(x1502,x1503,x1504)+~E(x1501,x1502)+~P10(x1501,x1503,x1504)
% 21.27/21.38 [151]P10(x1513,x1512,x1514)+~E(x1511,x1512)+~P10(x1513,x1511,x1514)
% 21.27/21.38 [152]P10(x1523,x1524,x1522)+~E(x1521,x1522)+~P10(x1523,x1524,x1521)
% 21.27/21.38 [153]~P59(x1531)+P59(x1532)+~E(x1531,x1532)
% 21.27/21.38 [154]~P48(x1541)+P48(x1542)+~E(x1541,x1542)
% 21.27/21.38 [155]~P69(x1551)+P69(x1552)+~E(x1551,x1552)
% 21.27/21.38 [156]~P28(x1561)+P28(x1562)+~E(x1561,x1562)
% 21.27/21.38 [157]~P45(x1571)+P45(x1572)+~E(x1571,x1572)
% 21.27/21.38 [158]~P3(x1581)+P3(x1582)+~E(x1581,x1582)
% 21.27/21.38 [159]~P56(x1591)+P56(x1592)+~E(x1591,x1592)
% 21.27/21.38 [160]~P15(x1601)+P15(x1602)+~E(x1601,x1602)
% 21.27/21.38 [161]~P43(x1611)+P43(x1612)+~E(x1611,x1612)
% 21.27/21.38 [162]~P18(x1621)+P18(x1622)+~E(x1621,x1622)
% 21.27/21.38 [163]~P37(x1631)+P37(x1632)+~E(x1631,x1632)
% 21.27/21.38 [164]~P33(x1641)+P33(x1642)+~E(x1641,x1642)
% 21.27/21.38 [165]~P24(x1651)+P24(x1652)+~E(x1651,x1652)
% 21.27/21.38 [166]~P19(x1661)+P19(x1662)+~E(x1661,x1662)
% 21.27/21.38 [167]~P14(x1671)+P14(x1672)+~E(x1671,x1672)
% 21.27/21.38 [168]~P41(x1681)+P41(x1682)+~E(x1681,x1682)
% 21.27/21.38 [169]~P76(x1691)+P76(x1692)+~E(x1691,x1692)
% 21.27/21.38 [170]~P22(x1701)+P22(x1702)+~E(x1701,x1702)
% 21.27/21.38 [171]~P39(x1711)+P39(x1712)+~E(x1711,x1712)
% 21.27/21.38 [172]~P55(x1721)+P55(x1722)+~E(x1721,x1722)
% 21.27/21.38 [173]~P30(x1731)+P30(x1732)+~E(x1731,x1732)
% 21.27/21.38 [174]~P52(x1741)+P52(x1742)+~E(x1741,x1742)
% 21.27/21.38 [175]~P54(x1751)+P54(x1752)+~E(x1751,x1752)
% 21.27/21.38 [176]~P58(x1761)+P58(x1762)+~E(x1761,x1762)
% 21.27/21.38 [177]~P62(x1771)+P62(x1772)+~E(x1771,x1772)
% 21.27/21.38 [178]~P70(x1781)+P70(x1782)+~E(x1781,x1782)
% 21.27/21.38 [179]~P38(x1791)+P38(x1792)+~E(x1791,x1792)
% 21.27/21.38 [180]~P49(x1801)+P49(x1802)+~E(x1801,x1802)
% 21.27/21.38 [181]~P4(x1811)+P4(x1812)+~E(x1811,x1812)
% 21.27/21.38 [182]~P50(x1821)+P50(x1822)+~E(x1821,x1822)
% 21.27/21.38 [183]~P25(x1831)+P25(x1832)+~E(x1831,x1832)
% 21.27/21.38 [184]~P40(x1841)+P40(x1842)+~E(x1841,x1842)
% 21.27/21.38 [185]~P35(x1851)+P35(x1852)+~E(x1851,x1852)
% 21.27/21.38 [186]~P26(x1861)+P26(x1862)+~E(x1861,x1862)
% 21.27/21.38 [187]~P44(x1871)+P44(x1872)+~E(x1871,x1872)
% 21.27/21.38 [188]~P5(x1881)+P5(x1882)+~E(x1881,x1882)
% 21.27/21.38 [189]~P36(x1891)+P36(x1892)+~E(x1891,x1892)
% 21.27/21.38 [190]~P42(x1901)+P42(x1902)+~E(x1901,x1902)
% 21.27/21.38 [191]~P68(x1911)+P68(x1912)+~E(x1911,x1912)
% 21.27/21.38 [192]~P72(x1921)+P72(x1922)+~E(x1921,x1922)
% 21.27/21.38 [193]P11(x1932,x1933)+~E(x1931,x1932)+~P11(x1931,x1933)
% 21.27/21.38 [194]P11(x1943,x1942)+~E(x1941,x1942)+~P11(x1943,x1941)
% 21.27/21.38 [195]~P17(x1951)+P17(x1952)+~E(x1951,x1952)
% 21.27/21.38 [196]~P57(x1961)+P57(x1962)+~E(x1961,x1962)
% 21.27/21.38 [197]~P31(x1971)+P31(x1972)+~E(x1971,x1972)
% 21.27/21.38 [198]~P51(x1981)+P51(x1982)+~E(x1981,x1982)
% 21.27/21.38 [199]~P66(x1991)+P66(x1992)+~E(x1991,x1992)
% 21.27/21.38 [200]~P16(x2001)+P16(x2002)+~E(x2001,x2002)
% 21.27/21.38 [201]~P53(x2011)+P53(x2012)+~E(x2011,x2012)
% 21.27/21.38 [202]~P21(x2021)+P21(x2022)+~E(x2021,x2022)
% 21.27/21.38 [203]~P74(x2031)+P74(x2032)+~E(x2031,x2032)
% 21.27/21.38 [204]~P65(x2041)+P65(x2042)+~E(x2041,x2042)
% 21.27/21.38 [205]~P20(x2051)+P20(x2052)+~E(x2051,x2052)
% 21.27/21.38 [206]~P63(x2061)+P63(x2062)+~E(x2061,x2062)
% 21.27/21.38 [207]~P73(x2071)+P73(x2072)+~E(x2071,x2072)
% 21.27/21.38 [208]~P27(x2081)+P27(x2082)+~E(x2081,x2082)
% 21.27/21.38 [209]~P29(x2091)+P29(x2092)+~E(x2091,x2092)
% 21.27/21.38 [210]~P61(x2101)+P61(x2102)+~E(x2101,x2102)
% 21.27/21.38 [211]~P64(x2111)+P64(x2112)+~E(x2111,x2112)
% 21.27/21.38 [212]~P71(x2121)+P71(x2122)+~E(x2121,x2122)
% 21.27/21.38 [213]~P46(x2131)+P46(x2132)+~E(x2131,x2132)
% 21.27/21.38 [214]~P60(x2141)+P60(x2142)+~E(x2141,x2142)
% 21.27/21.38 [215]~P32(x2151)+P32(x2152)+~E(x2151,x2152)
% 21.27/21.38 [216]P13(x2162,x2163)+~E(x2161,x2162)+~P13(x2161,x2163)
% 21.27/21.38 [217]P13(x2173,x2172)+~E(x2171,x2172)+~P13(x2173,x2171)
% 21.27/21.38 [218]~P6(x2181)+P6(x2182)+~E(x2181,x2182)
% 21.27/21.38 [219]P9(x2192,x2193)+~E(x2191,x2192)+~P9(x2191,x2193)
% 21.27/21.38 [220]P9(x2203,x2202)+~E(x2201,x2202)+~P9(x2203,x2201)
% 21.27/21.38 [221]~P67(x2211)+P67(x2212)+~E(x2211,x2212)
% 21.27/21.38 [222]~P75(x2221)+P75(x2222)+~E(x2221,x2222)
% 21.27/21.38
% 21.27/21.38 %-------------------------------------------
% 21.60/21.43 cnf(1814,plain,
% 21.60/21.43 (~P8(a60,x18141,x18141)),
% 21.60/21.43 inference(scs_inference,[],[269,425,2,770])).
% 21.60/21.43 cnf(1820,plain,
% 21.60/21.43 (~E(x18201,f9(a57,x18201,f3(a57)))),
% 21.60/21.43 inference(scs_inference,[],[269,448,460,425,479,2,770,744,743,742])).
% 21.60/21.43 cnf(1822,plain,
% 21.60/21.43 (~P8(a57,x18221,f10(f2(a60)))),
% 21.60/21.43 inference(scs_inference,[],[269,448,460,425,479,2,770,744,743,742,752])).
% 21.60/21.43 cnf(1824,plain,
% 21.60/21.43 (E(f3(a57),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.43 inference(scs_inference,[],[269,453,448,460,425,479,2,770,744,743,742,752,1358])).
% 21.60/21.43 cnf(1825,plain,
% 21.60/21.43 (P10(a57,f3(a57),x18251)),
% 21.60/21.43 inference(rename_variables,[],[453])).
% 21.60/21.43 cnf(1828,plain,
% 21.60/21.43 (~P8(a57,f9(a57,x18281,x18282),x18282)),
% 21.60/21.43 inference(rename_variables,[],[537])).
% 21.60/21.43 cnf(1831,plain,
% 21.60/21.43 (E(f9(a57,x18311,x18312),f9(a57,x18312,x18311))),
% 21.60/21.43 inference(rename_variables,[],[470])).
% 21.60/21.43 cnf(1834,plain,
% 21.60/21.43 (P7(a57,x18341,f9(a57,x18342,x18341))),
% 21.60/21.43 inference(rename_variables,[],[477])).
% 21.60/21.43 cnf(1837,plain,
% 21.60/21.43 (P7(a58,x18371,x18371)),
% 21.60/21.43 inference(rename_variables,[],[443])).
% 21.60/21.43 cnf(1840,plain,
% 21.60/21.43 (P7(a57,x18401,f9(a57,x18402,x18401))),
% 21.60/21.43 inference(rename_variables,[],[477])).
% 21.60/21.43 cnf(1843,plain,
% 21.60/21.43 (E(f9(a57,x18431,x18432),f9(a57,x18432,x18431))),
% 21.60/21.43 inference(rename_variables,[],[470])).
% 21.60/21.43 cnf(1846,plain,
% 21.60/21.43 (P8(a57,x18461,f9(a57,f9(a57,x18462,x18461),f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[509])).
% 21.60/21.43 cnf(1849,plain,
% 21.60/21.43 (P7(a57,x18491,f9(a57,x18492,x18491))),
% 21.60/21.43 inference(rename_variables,[],[477])).
% 21.60/21.43 cnf(1852,plain,
% 21.60/21.43 (P7(a57,x18521,f9(a57,x18522,x18521))),
% 21.60/21.43 inference(rename_variables,[],[477])).
% 21.60/21.43 cnf(1855,plain,
% 21.60/21.43 (~P8(a57,f9(a57,x18551,x18552),x18551)),
% 21.60/21.43 inference(rename_variables,[],[538])).
% 21.60/21.43 cnf(1857,plain,
% 21.60/21.43 (~P8(a57,f9(a57,x18571,f9(a57,x18572,x18573)),x18572)),
% 21.60/21.43 inference(scs_inference,[],[443,269,453,448,460,425,477,1834,1840,1849,537,1828,538,470,1831,479,509,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155])).
% 21.60/21.43 cnf(1858,plain,
% 21.60/21.43 (~P8(a57,f9(a57,x18581,x18582),x18582)),
% 21.60/21.43 inference(rename_variables,[],[537])).
% 21.60/21.43 cnf(1861,plain,
% 21.60/21.43 (~P8(a57,f9(a57,x18611,x18612),x18612)),
% 21.60/21.43 inference(rename_variables,[],[537])).
% 21.60/21.43 cnf(1864,plain,
% 21.60/21.43 (~P7(a57,f9(a57,x18641,f3(a57)),x18641)),
% 21.60/21.43 inference(rename_variables,[],[539])).
% 21.60/21.43 cnf(1867,plain,
% 21.60/21.43 (~P7(a57,f9(a57,x18671,f3(a57)),x18671)),
% 21.60/21.43 inference(rename_variables,[],[539])).
% 21.60/21.43 cnf(1870,plain,
% 21.60/21.43 (~P8(a57,f9(a57,x18701,x18702),x18701)),
% 21.60/21.43 inference(rename_variables,[],[538])).
% 21.60/21.43 cnf(1872,plain,
% 21.60/21.43 (~E(f9(a57,x18721,f9(a57,x18722,f3(a57))),x18722)),
% 21.60/21.43 inference(scs_inference,[],[443,269,453,448,460,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,479,539,1864,509,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941])).
% 21.60/21.43 cnf(1873,plain,
% 21.60/21.43 (~P8(a57,f9(a57,x18731,x18732),x18732)),
% 21.60/21.43 inference(rename_variables,[],[537])).
% 21.60/21.43 cnf(1876,plain,
% 21.60/21.43 (E(f10(f30(a57,x18761)),x18761)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(1878,plain,
% 21.60/21.43 (~E(f9(a57,x18781,f9(a57,f2(a57),f3(a57))),x18781)),
% 21.60/21.43 inference(scs_inference,[],[443,269,453,448,460,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,434,479,539,1864,529,509,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748])).
% 21.60/21.43 cnf(1879,plain,
% 21.60/21.43 (~E(f9(a57,x18791,f3(a57)),x18791)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(1881,plain,
% 21.60/21.43 (~E(f9(a57,f9(a57,x18811,x18812),f3(a57)),x18812)),
% 21.60/21.43 inference(scs_inference,[],[443,269,453,448,460,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,434,479,539,1864,529,509,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14])).
% 21.60/21.43 cnf(1889,plain,
% 21.60/21.43 (P7(a60,x18891,f30(a57,f10(x18891)))),
% 21.60/21.43 inference(rename_variables,[],[466])).
% 21.60/21.43 cnf(1892,plain,
% 21.60/21.43 (P8(a60,x18921,f9(a60,f30(a57,f28(x18921)),f3(a60)))),
% 21.60/21.43 inference(rename_variables,[],[490])).
% 21.60/21.43 cnf(1895,plain,
% 21.60/21.43 (P7(a57,x18951,x18951)),
% 21.60/21.43 inference(rename_variables,[],[441])).
% 21.60/21.43 cnf(1901,plain,
% 21.60/21.43 (P7(a57,x19011,f10(f30(a57,x19011)))),
% 21.60/21.43 inference(scs_inference,[],[441,443,269,453,448,460,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,434,466,1889,479,539,1864,529,509,490,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069])).
% 21.60/21.43 cnf(1902,plain,
% 21.60/21.43 (P7(a60,x19021,f30(a57,f10(x19021)))),
% 21.60/21.43 inference(rename_variables,[],[466])).
% 21.60/21.43 cnf(1904,plain,
% 21.60/21.43 (P7(a57,f10(f30(a57,x19041)),x19041)),
% 21.60/21.43 inference(scs_inference,[],[441,442,443,269,453,448,460,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,434,466,1889,479,539,1864,529,509,490,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980])).
% 21.60/21.43 cnf(1905,plain,
% 21.60/21.43 (P7(a60,x19051,x19051)),
% 21.60/21.43 inference(rename_variables,[],[442])).
% 21.60/21.43 cnf(1908,plain,
% 21.60/21.43 (P7(a60,x19081,f30(a57,f10(x19081)))),
% 21.60/21.43 inference(rename_variables,[],[466])).
% 21.60/21.43 cnf(1911,plain,
% 21.60/21.43 (~E(f9(a57,x19111,f3(a57)),f2(a57))),
% 21.60/21.43 inference(rename_variables,[],[535])).
% 21.60/21.43 cnf(1914,plain,
% 21.60/21.43 (~E(f9(a57,x19141,f3(a57)),f2(a57))),
% 21.60/21.43 inference(rename_variables,[],[535])).
% 21.60/21.43 cnf(1917,plain,
% 21.60/21.43 (P8(a60,x19171,f9(a60,f30(a57,f28(x19171)),f3(a60)))),
% 21.60/21.43 inference(rename_variables,[],[490])).
% 21.60/21.43 cnf(1920,plain,
% 21.60/21.43 (E(f10(f30(a57,x19201)),x19201)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(1921,plain,
% 21.60/21.43 (~P30(f10(f30(a57,a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,443,269,453,448,460,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,434,1876,1920,466,1889,1902,479,539,1864,529,509,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173])).
% 21.60/21.43 cnf(1922,plain,
% 21.60/21.43 (E(f10(f30(a57,x19221)),x19221)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(1923,plain,
% 21.60/21.43 (~P14(f10(f30(a57,a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,443,269,453,448,460,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,434,1876,1920,1922,466,1889,1902,479,539,1864,529,509,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167])).
% 21.60/21.43 cnf(1924,plain,
% 21.60/21.43 (E(f10(f30(a57,x19241)),x19241)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(1927,plain,
% 21.60/21.43 (E(f9(a57,x19271,x19272),f9(a57,x19272,x19271))),
% 21.60/21.43 inference(rename_variables,[],[470])).
% 21.60/21.43 cnf(1929,plain,
% 21.60/21.43 (P7(a60,x19291,x19291)),
% 21.60/21.43 inference(rename_variables,[],[442])).
% 21.60/21.43 cnf(1931,plain,
% 21.60/21.43 (P7(a60,x19311,x19311)),
% 21.60/21.43 inference(rename_variables,[],[442])).
% 21.60/21.43 cnf(1934,plain,
% 21.60/21.43 (~P8(a57,x19341,x19341)),
% 21.60/21.43 inference(rename_variables,[],[524])).
% 21.60/21.43 cnf(1936,plain,
% 21.60/21.43 (~E(f9(a57,x19361,f3(a57)),x19361)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(1939,plain,
% 21.60/21.43 (~P8(a58,x19391,x19391)),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,269,281,282,450,453,448,460,481,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,539,1864,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989])).
% 21.60/21.43 cnf(1941,plain,
% 21.60/21.43 (~P8(a58,f3(a58),f2(a58))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,269,274,281,282,450,453,448,460,481,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,539,1864,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986])).
% 21.60/21.43 cnf(1943,plain,
% 21.60/21.43 (~P7(a58,f3(a58),f2(a58))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,269,274,281,282,450,453,448,459,460,522,481,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,539,1864,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954])).
% 21.60/21.43 cnf(1951,plain,
% 21.60/21.43 (~P7(a60,a62,f2(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,268,269,272,274,281,282,450,453,448,459,460,522,481,425,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,539,1864,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886])).
% 21.60/21.43 cnf(1955,plain,
% 21.60/21.43 (~P8(a57,f10(f3(a60)),f3(a57))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,268,269,272,274,280,281,282,450,453,448,459,460,522,481,425,426,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,539,1864,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785])).
% 21.60/21.43 cnf(1959,plain,
% 21.60/21.43 (~E(f9(a57,f9(a57,x19591,f3(a57)),x19592),x19591)),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,268,269,272,274,280,281,282,450,453,448,459,460,522,481,425,426,428,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,539,1864,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677])).
% 21.60/21.43 cnf(1961,plain,
% 21.60/21.43 (~E(f9(a57,f9(a57,x19611,x19612),f3(a57)),x19611)),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,268,269,272,274,280,281,282,450,453,448,459,460,522,481,425,426,428,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,539,1864,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675])).
% 21.60/21.43 cnf(1963,plain,
% 21.60/21.43 (~P10(a58,f9(a58,f3(a58),f3(a58)),f3(a58))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,268,269,272,274,280,281,282,450,453,448,459,460,522,481,425,426,428,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,539,1864,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191])).
% 21.60/21.43 cnf(1966,plain,
% 21.60/21.43 (P8(a57,x19661,f9(a57,x19661,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(1967,plain,
% 21.60/21.43 (P8(a57,x19671,f9(a57,f9(a57,x19672,x19671),f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[509])).
% 21.60/21.43 cnf(1969,plain,
% 21.60/21.43 (~P10(a57,f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57)),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,268,269,272,274,280,281,282,450,453,448,459,460,522,481,425,426,428,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,434,1876,1920,1922,466,1889,1902,479,1966,539,1864,1867,529,1879,509,1846,535,1911,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111])).
% 21.60/21.43 cnf(1970,plain,
% 21.60/21.43 (P8(a57,x19701,f9(a57,x19701,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(1971,plain,
% 21.60/21.43 (~P7(a57,f9(a57,x19711,f3(a57)),x19711)),
% 21.60/21.43 inference(rename_variables,[],[539])).
% 21.60/21.43 cnf(1974,plain,
% 21.60/21.43 (P8(a57,x19741,f9(a57,x19741,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(1975,plain,
% 21.60/21.43 (~P8(a57,x19751,x19751)),
% 21.60/21.43 inference(rename_variables,[],[524])).
% 21.60/21.43 cnf(1978,plain,
% 21.60/21.43 (E(f10(f30(a57,x19781)),x19781)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(1981,plain,
% 21.60/21.43 (P8(a57,x19811,f9(a57,x19811,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(1984,plain,
% 21.60/21.43 (P8(a57,x19841,f9(a57,x19841,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(1987,plain,
% 21.60/21.43 (P8(a57,x19871,f9(a57,x19871,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(1988,plain,
% 21.60/21.43 (~E(f9(a57,x19881,f3(a57)),x19881)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(1991,plain,
% 21.60/21.43 (P8(a57,x19911,f9(a57,x19911,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(1994,plain,
% 21.60/21.43 (P8(a57,x19941,f9(a57,x19941,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(1997,plain,
% 21.60/21.43 (P8(a57,x19971,f9(a57,x19971,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2000,plain,
% 21.60/21.43 (~E(f9(a57,x20001,f3(a57)),f2(a57))),
% 21.60/21.43 inference(rename_variables,[],[535])).
% 21.60/21.43 cnf(2002,plain,
% 21.60/21.43 (P8(a57,f2(a57),f3(a57))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,524,1934,1975,268,269,272,274,280,281,282,450,453,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,539,1864,1867,529,1879,1936,509,1846,535,1911,1914,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449])).
% 21.60/21.43 cnf(2003,plain,
% 21.60/21.43 (P8(a57,x20031,f9(a57,x20031,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2004,plain,
% 21.60/21.43 (~P8(a57,x20041,x20041)),
% 21.60/21.43 inference(rename_variables,[],[524])).
% 21.60/21.43 cnf(2007,plain,
% 21.60/21.43 (P8(a57,x20071,f9(a57,x20071,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2009,plain,
% 21.60/21.43 (P10(a57,x20091,f31(f31(f8(a57),x20091),x20092))),
% 21.60/21.43 inference(scs_inference,[],[520,441,442,1905,1929,443,1837,444,524,1934,1975,234,268,269,272,274,280,281,282,450,453,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,539,1864,1867,529,1879,1936,509,1846,535,1911,1914,490,1892,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311])).
% 21.60/21.43 cnf(2010,plain,
% 21.60/21.43 (P10(a57,x20101,x20101)),
% 21.60/21.43 inference(rename_variables,[],[444])).
% 21.60/21.43 cnf(2013,plain,
% 21.60/21.43 (P10(a57,x20131,x20131)),
% 21.60/21.43 inference(rename_variables,[],[444])).
% 21.60/21.43 cnf(2016,plain,
% 21.60/21.43 (E(f10(f30(a57,x20161)),x20161)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(2019,plain,
% 21.60/21.43 (P7(a60,x20191,x20191)),
% 21.60/21.43 inference(rename_variables,[],[442])).
% 21.60/21.43 cnf(2022,plain,
% 21.60/21.43 (P7(a60,x20221,x20221)),
% 21.60/21.43 inference(rename_variables,[],[442])).
% 21.60/21.43 cnf(2023,plain,
% 21.60/21.43 (P7(a57,x20231,x20231)),
% 21.60/21.43 inference(rename_variables,[],[441])).
% 21.60/21.43 cnf(2026,plain,
% 21.60/21.43 (~E(f9(a57,x20261,f3(a57)),x20261)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2029,plain,
% 21.60/21.43 (~E(f9(a57,x20291,f3(a57)),x20291)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2032,plain,
% 21.60/21.43 (~E(f9(a57,x20321,f3(a57)),x20321)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2035,plain,
% 21.60/21.43 (P8(a57,x20351,f9(a57,x20351,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2038,plain,
% 21.60/21.43 (P7(a57,x20381,f9(a57,x20382,x20381))),
% 21.60/21.43 inference(rename_variables,[],[477])).
% 21.60/21.43 cnf(2041,plain,
% 21.60/21.43 (E(f9(a57,f2(a57),x20411),x20411)),
% 21.60/21.43 inference(rename_variables,[],[456])).
% 21.60/21.43 cnf(2042,plain,
% 21.60/21.43 (P8(a57,x20421,f9(a57,x20421,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2046,plain,
% 21.60/21.43 (P8(a57,f56(f9(a57,f2(a57),f3(a57)),f9(a57,f2(a57),f3(a57))),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,268,269,272,274,280,281,282,346,401,450,453,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,509,1846,535,1911,1914,490,1892,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389])).
% 21.60/21.43 cnf(2047,plain,
% 21.60/21.43 (P8(a57,x20471,f9(a57,x20471,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2048,plain,
% 21.60/21.43 (~E(f9(a57,x20481,f3(a57)),x20481)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2051,plain,
% 21.60/21.43 (P8(a57,x20511,f9(a57,x20511,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2054,plain,
% 21.60/21.43 (P8(a57,x20541,f9(a57,f9(a57,x20542,x20541),f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[509])).
% 21.60/21.43 cnf(2057,plain,
% 21.60/21.43 (P8(a57,x20571,f9(a57,f9(a57,x20572,x20571),f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[509])).
% 21.60/21.43 cnf(2059,plain,
% 21.60/21.43 (~P8(a60,f7(a60,f2(a60)),f2(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,268,269,272,274,280,281,282,295,346,401,450,453,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,509,1846,1967,2054,535,1911,1914,490,1892,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041])).
% 21.60/21.43 cnf(2063,plain,
% 21.60/21.43 (~P7(a58,f3(a58),f7(a58,f3(a58)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,253,268,269,272,274,280,281,282,295,296,346,401,450,453,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,509,1846,1967,2054,535,1911,1914,490,1892,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038])).
% 21.60/21.43 cnf(2065,plain,
% 21.60/21.43 (~E(f9(a60,x20651,f3(a60)),x20651)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,253,268,269,272,274,280,281,282,289,295,296,346,401,450,453,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,509,1846,1967,2054,535,1911,1914,490,1892,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795])).
% 21.60/21.43 cnf(2068,plain,
% 21.60/21.43 (~E(f9(a57,x20681,f3(a57)),x20681)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2071,plain,
% 21.60/21.43 (E(f10(f30(a57,x20711)),x20711)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(2073,plain,
% 21.60/21.43 (~E(f7(a60,f3(a60)),f3(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,253,255,268,269,272,274,280,281,282,289,295,296,346,401,450,453,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,509,1846,1967,2054,535,1911,1914,490,1892,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615])).
% 21.60/21.43 cnf(2076,plain,
% 21.60/21.43 (P8(a60,x20761,f9(a60,f30(a57,f28(x20761)),f3(a60)))),
% 21.60/21.43 inference(rename_variables,[],[490])).
% 21.60/21.43 cnf(2082,plain,
% 21.60/21.43 (~P7(a57,f9(a57,f9(a57,x20821,x20822),f9(a57,f3(a57),f3(a57))),x20821)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,401,450,453,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,509,1846,1967,2054,535,1911,1914,490,1892,1917,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425])).
% 21.60/21.43 cnf(2084,plain,
% 21.60/21.43 (~P33(a57)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,401,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,509,1846,1967,2054,535,1911,1914,490,1892,1917,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087])).
% 21.60/21.43 cnf(2085,plain,
% 21.60/21.43 (~P8(a57,x20851,f2(a57))),
% 21.60/21.43 inference(rename_variables,[],[527])).
% 21.60/21.43 cnf(2086,plain,
% 21.60/21.43 (P8(a57,x20861,f9(a57,x20861,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2088,plain,
% 21.60/21.43 (~P8(a58,x20881,f7(a58,f7(a58,x20881)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,374,401,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,509,1846,1967,2054,535,1911,1914,490,1892,1917,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083])).
% 21.60/21.43 cnf(2093,plain,
% 21.60/21.43 (~E(f9(a57,x20931,f3(a57)),x20931)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2096,plain,
% 21.60/21.43 (~E(f9(a57,x20961,f3(a57)),x20961)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2104,plain,
% 21.60/21.43 (~P7(a60,f3(a60),f29(a60,f2(a60)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,373,374,375,401,414,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,509,1846,1967,2054,535,1911,1914,490,1892,1917,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063])).
% 21.60/21.43 cnf(2112,plain,
% 21.60/21.43 (~P7(a58,f2(a58),f7(a58,f3(a58)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,373,374,375,401,414,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,509,1846,1967,2054,535,1911,1914,490,1892,1917,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056])).
% 21.60/21.43 cnf(2117,plain,
% 21.60/21.43 (~E(f9(a57,x21171,f3(a57)),x21171)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2120,plain,
% 21.60/21.43 (~E(f9(a57,x21201,f3(a57)),x21201)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2123,plain,
% 21.60/21.43 (~E(f9(a57,x21231,f3(a57)),x21231)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2125,plain,
% 21.60/21.43 (~E(f6(a1,f9(a57,f2(f61(a1)),f3(a57)),x21251),f2(f61(a1)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,373,374,375,401,414,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,509,1846,1967,2054,535,1911,1914,490,1892,1917,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846])).
% 21.60/21.43 cnf(2126,plain,
% 21.60/21.43 (~E(f9(a57,x21261,f3(a57)),x21261)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2128,plain,
% 21.60/21.43 (~E(f7(a58,f3(a58)),f2(a58))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,373,374,375,377,401,414,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,509,1846,1967,2054,535,1911,1914,490,1892,1917,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626])).
% 21.60/21.43 cnf(2131,plain,
% 21.60/21.43 (~E(f9(a57,x21311,f3(a57)),x21311)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2136,plain,
% 21.60/21.43 (~E(f9(a57,x21361,f3(a57)),x21361)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2138,plain,
% 21.60/21.43 (~E(f7(a60,f3(a60)),f2(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,373,374,375,376,377,401,410,413,414,415,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,509,1846,1967,2054,535,1911,1914,490,1892,1917,493,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621])).
% 21.60/21.43 cnf(2153,plain,
% 21.60/21.43 (~E(f9(a57,x21531,f3(a57)),x21531)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2156,plain,
% 21.60/21.43 (~E(f9(a57,x21561,f3(a57)),x21561)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2163,plain,
% 21.60/21.43 (~E(f9(a57,x21631,f3(a57)),x21631)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2166,plain,
% 21.60/21.43 (~E(f9(a57,x21661,f3(a57)),x21661)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2173,plain,
% 21.60/21.43 (~E(x21731,f7(a58,f9(a58,f3(a58),x21731)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,230,234,235,253,255,262,263,265,268,269,272,274,280,281,282,289,295,296,346,373,374,375,376,377,401,410,411,413,414,415,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,509,1846,1967,2054,535,1911,1914,490,1892,1917,446,493,540,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750])).
% 21.60/21.43 cnf(2176,plain,
% 21.60/21.43 (~E(f9(a57,x21761,f3(a57)),x21761)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2179,plain,
% 21.60/21.43 (~E(f9(a57,x21791,f3(a57)),x21791)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2182,plain,
% 21.60/21.43 (~E(f9(a57,x21821,f3(a57)),x21821)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2184,plain,
% 21.60/21.43 (P7(f63(x21841,a57),x21842,x21842)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,230,234,235,253,255,262,263,265,268,269,272,274,276,280,281,282,289,295,296,346,373,374,375,376,377,401,410,411,413,414,415,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,509,1846,1967,2054,535,1911,1914,490,1892,1917,446,493,540,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800])).
% 21.60/21.43 cnf(2185,plain,
% 21.60/21.43 (P7(a57,x21851,x21851)),
% 21.60/21.43 inference(rename_variables,[],[441])).
% 21.60/21.43 cnf(2188,plain,
% 21.60/21.43 (P8(a57,x21881,f9(a57,f9(a57,x21881,x21882),f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[510])).
% 21.60/21.43 cnf(2190,plain,
% 21.60/21.43 (P8(a58,f2(a58),f9(a58,f3(a58),f3(a58)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,230,234,235,253,255,262,263,265,268,269,270,272,274,276,280,281,282,289,295,296,346,373,374,375,376,377,401,410,411,413,414,415,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,509,1846,1967,2054,510,535,1911,1914,490,1892,1917,446,493,540,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133])).
% 21.60/21.43 cnf(2192,plain,
% 21.60/21.43 (P8(a60,f2(a60),f30(a57,f10(a62)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,230,234,235,253,255,262,263,265,268,269,270,272,274,276,280,281,282,289,295,296,346,373,374,375,376,377,401,410,411,413,414,415,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,509,1846,1967,2054,510,535,1911,1914,490,1892,1917,446,493,540,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132])).
% 21.60/21.43 cnf(2193,plain,
% 21.60/21.43 (P7(a60,x21931,f30(a57,f10(x21931)))),
% 21.60/21.43 inference(rename_variables,[],[466])).
% 21.60/21.43 cnf(2196,plain,
% 21.60/21.43 (P8(a60,x21961,f9(a60,f30(a57,f28(x21961)),f3(a60)))),
% 21.60/21.43 inference(rename_variables,[],[490])).
% 21.60/21.43 cnf(2198,plain,
% 21.60/21.43 (P8(a57,x21981,f31(f31(f8(a57),f9(a57,x21981,f3(a57))),f9(a57,x21981,f3(a57))))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,230,234,235,253,255,262,263,265,268,269,270,272,273,274,276,280,281,282,289,295,296,346,373,374,375,376,377,401,410,411,413,414,415,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,509,1846,1967,2054,510,476,535,1911,1914,490,1892,1917,2076,446,493,540,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130])).
% 21.60/21.43 cnf(2199,plain,
% 21.60/21.43 (P7(a57,x21991,f31(f31(f8(a57),x21991),x21991))),
% 21.60/21.43 inference(rename_variables,[],[476])).
% 21.60/21.43 cnf(2202,plain,
% 21.60/21.43 (P8(a60,x22021,f9(a60,f30(a57,f28(x22021)),f3(a60)))),
% 21.60/21.43 inference(rename_variables,[],[490])).
% 21.60/21.43 cnf(2204,plain,
% 21.60/21.43 (E(f2(a60),f30(a57,f28(f2(a60))))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,442,1905,1929,1931,2019,443,1837,444,2010,524,1934,1975,223,230,234,235,253,255,262,263,265,268,269,270,272,273,274,276,280,281,282,289,295,296,346,373,374,375,376,377,401,410,411,413,414,415,450,453,527,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,465,536,434,1876,1920,1922,1924,1978,2016,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,509,1846,1967,2054,510,476,535,1911,1914,490,1892,1917,2076,2196,446,493,540,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004])).
% 21.60/21.43 cnf(2205,plain,
% 21.60/21.43 (P7(a60,f2(a60),f30(a57,x22051))),
% 21.60/21.43 inference(rename_variables,[],[465])).
% 21.60/21.43 cnf(2208,plain,
% 21.60/21.43 (~P8(a57,x22081,f2(a57))),
% 21.60/21.43 inference(rename_variables,[],[527])).
% 21.60/21.43 cnf(2211,plain,
% 21.60/21.43 (~P8(a57,x22111,f2(a57))),
% 21.60/21.43 inference(rename_variables,[],[527])).
% 21.60/21.43 cnf(2214,plain,
% 21.60/21.43 (P7(a57,f2(a57),x22141)),
% 21.60/21.43 inference(rename_variables,[],[452])).
% 21.60/21.43 cnf(2217,plain,
% 21.60/21.43 (~P8(a57,x22171,f2(a57))),
% 21.60/21.43 inference(rename_variables,[],[527])).
% 21.60/21.43 cnf(2220,plain,
% 21.60/21.43 (P8(a57,x22201,f9(a57,x22201,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2221,plain,
% 21.60/21.43 (P8(a60,x22211,f9(a60,f30(a57,f28(x22211)),f3(a60)))),
% 21.60/21.43 inference(rename_variables,[],[490])).
% 21.60/21.43 cnf(2222,plain,
% 21.60/21.43 (P8(a57,x22221,f9(a57,f9(a57,x22222,x22221),f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[509])).
% 21.60/21.43 cnf(2225,plain,
% 21.60/21.43 (P7(a60,x22251,x22251)),
% 21.60/21.43 inference(rename_variables,[],[442])).
% 21.60/21.43 cnf(2226,plain,
% 21.60/21.43 (P8(a57,x22261,f9(a57,x22261,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2227,plain,
% 21.60/21.43 (P8(a57,x22271,f9(a57,f9(a57,x22272,x22271),f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[509])).
% 21.60/21.43 cnf(2233,plain,
% 21.60/21.43 (P8(a57,x22331,f9(a57,x22331,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2236,plain,
% 21.60/21.43 (~E(f9(a57,x22361,f3(a57)),x22361)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2237,plain,
% 21.60/21.43 (E(f10(f30(a57,x22371)),x22371)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(2240,plain,
% 21.60/21.43 (P8(a57,x22401,f9(a57,x22401,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2243,plain,
% 21.60/21.43 (P7(a57,x22431,x22431)),
% 21.60/21.43 inference(rename_variables,[],[441])).
% 21.60/21.43 cnf(2246,plain,
% 21.60/21.43 (~P8(a57,x22461,x22461)),
% 21.60/21.43 inference(rename_variables,[],[524])).
% 21.60/21.43 cnf(2247,plain,
% 21.60/21.43 (P8(a57,x22471,f9(a57,x22471,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2249,plain,
% 21.60/21.43 (~P7(a57,f9(a57,x22491,f9(a57,f9(a57,f2(a57),x22492),f3(a57))),x22492)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,223,230,234,235,253,255,262,263,265,268,269,270,272,273,274,276,280,281,282,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,418,450,452,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,509,1846,1967,2054,2057,2222,510,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407])).
% 21.60/21.43 cnf(2250,plain,
% 21.60/21.43 (P7(a57,x22501,x22501)),
% 21.60/21.43 inference(rename_variables,[],[441])).
% 21.60/21.43 cnf(2253,plain,
% 21.60/21.43 (P7(a57,x22531,x22531)),
% 21.60/21.43 inference(rename_variables,[],[441])).
% 21.60/21.43 cnf(2255,plain,
% 21.60/21.43 (P12(a1,f2(f61(a1)),x22551,f10(f30(a57,f2(f61(a1)))),f10(f30(a57,f2(f61(a1)))))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,223,230,234,235,253,255,262,263,265,268,269,270,272,273,274,276,280,281,282,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,418,450,452,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,509,1846,1967,2054,2057,2222,510,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769])).
% 21.60/21.43 cnf(2256,plain,
% 21.60/21.43 (E(f10(f30(a57,x22561)),x22561)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(2257,plain,
% 21.60/21.43 (E(f10(f30(a57,x22571)),x22571)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(2259,plain,
% 21.60/21.43 (~P8(a57,f9(a57,f9(a57,x22591,f9(a57,f9(a57,f3(a57),f3(a57)),f3(a57))),x22592),x22591)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,223,230,234,235,253,255,259,262,263,265,268,269,270,272,273,274,276,280,281,282,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,418,450,452,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,537,1828,1858,1861,538,1855,470,1831,1843,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,509,1846,1967,2054,2057,2222,510,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556])).
% 21.60/21.43 cnf(2260,plain,
% 21.60/21.43 (P8(a57,x22601,f9(a57,x22601,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2268,plain,
% 21.60/21.43 (~P7(a57,f9(a57,f9(a57,x22681,f9(a57,f9(a57,f3(a57),f3(a57)),f3(a57))),x22682),x22681)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,223,230,234,235,253,255,259,262,263,265,268,269,270,272,273,274,276,280,281,282,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,418,450,452,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,509,1846,1967,2054,2057,2222,510,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553])).
% 21.60/21.43 cnf(2269,plain,
% 21.60/21.43 (P7(a57,x22691,f9(a57,x22691,x22692))),
% 21.60/21.43 inference(rename_variables,[],[478])).
% 21.60/21.43 cnf(2272,plain,
% 21.60/21.43 (E(f10(f30(a57,x22721)),x22721)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(2275,plain,
% 21.60/21.43 (P8(a60,x22751,f9(a60,f30(a57,f28(x22751)),f3(a60)))),
% 21.60/21.43 inference(rename_variables,[],[490])).
% 21.60/21.43 cnf(2277,plain,
% 21.60/21.43 (~P12(a1,f10(f30(a57,f2(f61(a1)))),x22771,f9(a57,f2(f61(a1)),f3(a57)),x22772)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,223,230,234,235,253,255,259,262,263,265,268,269,270,272,273,274,276,280,281,282,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,417,418,450,452,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,509,1846,1967,2054,2057,2222,510,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811])).
% 21.60/21.43 cnf(2280,plain,
% 21.60/21.43 (E(f10(f30(a57,x22801)),x22801)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(2282,plain,
% 21.60/21.43 (~P7(a57,f3(a57),f2(a57))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,223,230,234,235,253,255,259,262,263,265,268,269,270,272,273,274,276,280,281,282,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,417,418,450,452,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,509,1846,1967,2054,2057,2222,510,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457])).
% 21.60/21.43 cnf(2283,plain,
% 21.60/21.43 (~P7(a57,f9(a57,x22831,f3(a57)),x22831)),
% 21.60/21.43 inference(rename_variables,[],[539])).
% 21.60/21.43 cnf(2284,plain,
% 21.60/21.43 (P7(a57,x22841,x22841)),
% 21.60/21.43 inference(rename_variables,[],[441])).
% 21.60/21.43 cnf(2287,plain,
% 21.60/21.43 (~E(f9(a57,x22871,f3(a57)),x22871)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2290,plain,
% 21.60/21.43 (~E(f9(a57,x22901,f3(a57)),x22901)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2295,plain,
% 21.60/21.43 (~E(f9(a57,x22951,f3(a57)),x22951)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2298,plain,
% 21.60/21.43 (E(f9(a57,x22981,x22982),f9(a57,x22982,x22981))),
% 21.60/21.43 inference(rename_variables,[],[470])).
% 21.60/21.43 cnf(2299,plain,
% 21.60/21.43 (~E(f9(a57,x22991,f3(a57)),x22991)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2302,plain,
% 21.60/21.43 (~E(f9(a57,x23021,f3(a57)),x23021)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2303,plain,
% 21.60/21.43 (~E(f9(a57,x23031,f3(a57)),x23031)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2304,plain,
% 21.60/21.43 (~P8(a57,x23041,x23041)),
% 21.60/21.43 inference(rename_variables,[],[524])).
% 21.60/21.43 cnf(2306,plain,
% 21.60/21.43 (P12(a1,f9(a57,f9(f61(a1),f31(f31(f8(f61(a1)),x23061),f9(a57,f2(f61(a1)),f3(a57))),f10(f30(a57,f2(f61(a1))))),f2(a57)),f9(a57,f2(f61(a1)),f3(a57)),x23061,f10(f30(a57,f2(f61(a1)))))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,234,235,253,255,259,262,263,265,268,269,270,272,273,274,276,280,281,282,288,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,417,418,450,452,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,509,1846,1967,2054,2057,2222,510,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780])).
% 21.60/21.43 cnf(2307,plain,
% 21.60/21.43 (E(f9(a57,x23071,f2(a57)),x23071)),
% 21.60/21.43 inference(rename_variables,[],[454])).
% 21.60/21.43 cnf(2308,plain,
% 21.60/21.43 (~E(f9(a57,x23081,f3(a57)),x23081)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2309,plain,
% 21.60/21.43 (E(f10(f30(a57,x23091)),x23091)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(2312,plain,
% 21.60/21.43 (P7(a57,f2(a57),x23121)),
% 21.60/21.43 inference(rename_variables,[],[452])).
% 21.60/21.43 cnf(2316,plain,
% 21.60/21.43 (P7(a60,x23161,f9(a60,f30(a57,f28(x23161)),f3(a60)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,234,235,253,255,259,262,263,265,268,269,270,272,273,274,276,280,281,282,288,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,417,418,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,509,1846,1967,2054,2057,2222,510,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875])).
% 21.60/21.43 cnf(2320,plain,
% 21.60/21.43 (P7(a58,f7(a58,f3(a58)),f3(a58))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,234,235,253,255,259,262,263,265,268,269,270,272,273,274,276,280,281,282,288,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,417,418,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,509,1846,1967,2054,2057,2222,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805])).
% 21.60/21.43 cnf(2337,plain,
% 21.60/21.43 (~E(f9(a57,x23371,f3(a57)),x23371)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2347,plain,
% 21.60/21.43 (~P8(a58,f3(a58),f9(a58,f2(a58),f3(a58)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,417,418,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314])).
% 21.60/21.43 cnf(2355,plain,
% 21.60/21.43 (P8(a58,f3(a58),f9(a58,f9(a58,f3(a58),f3(a58)),f3(a58)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,417,418,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171])).
% 21.60/21.43 cnf(2363,plain,
% 21.60/21.43 (~P10(a58,f9(a58,f3(a58),f3(a58)),f7(a58,f3(a58)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,373,374,375,376,377,401,410,411,413,414,415,417,418,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966])).
% 21.60/21.43 cnf(2393,plain,
% 21.60/21.43 (P6(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,373,374,375,376,377,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597])).
% 21.60/21.43 cnf(2395,plain,
% 21.60/21.43 (P5(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,373,374,375,376,377,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596])).
% 21.60/21.43 cnf(2405,plain,
% 21.60/21.43 (P44(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591])).
% 21.60/21.43 cnf(2415,plain,
% 21.60/21.43 (P30(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586])).
% 21.60/21.43 cnf(2419,plain,
% 21.60/21.43 (P45(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584])).
% 21.60/21.43 cnf(2425,plain,
% 21.60/21.43 (P73(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581])).
% 21.60/21.43 cnf(2449,plain,
% 21.60/21.43 (P64(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569])).
% 21.60/21.43 cnf(2453,plain,
% 21.60/21.43 (P62(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567])).
% 21.60/21.43 cnf(2459,plain,
% 21.60/21.43 (P56(f61(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564])).
% 21.60/21.43 cnf(2465,plain,
% 21.60/21.43 (P28(f61(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561])).
% 21.60/21.43 cnf(2477,plain,
% 21.60/21.43 (P37(f61(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555])).
% 21.60/21.43 cnf(2499,plain,
% 21.60/21.43 (P48(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544])).
% 21.60/21.43 cnf(2501,plain,
% 21.60/21.43 (P47(f61(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543])).
% 21.60/21.43 cnf(2513,plain,
% 21.60/21.43 (P7(a60,f30(a57,f47(f2(a60))),f2(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975])).
% 21.60/21.43 cnf(2514,plain,
% 21.60/21.43 (P7(a60,x25141,x25141)),
% 21.60/21.43 inference(rename_variables,[],[442])).
% 21.60/21.43 cnf(2518,plain,
% 21.60/21.43 (P7(a60,f30(a57,f3(a57)),f3(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929])).
% 21.60/21.43 cnf(2520,plain,
% 21.60/21.43 (E(f9(a57,f50(f9(a57,f2(a57),f3(a57))),f3(a57)),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921])).
% 21.60/21.43 cnf(2521,plain,
% 21.60/21.43 (P8(a57,x25211,f9(a57,x25211,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2523,plain,
% 21.60/21.43 (~P7(a60,f30(a57,f9(a57,f2(a57),f3(a57))),f2(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861])).
% 21.60/21.43 cnf(2524,plain,
% 21.60/21.43 (~E(f9(a57,x25241,f3(a57)),x25241)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2529,plain,
% 21.60/21.43 (P8(a57,x25291,f9(a57,f9(a57,x25292,x25291),f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[509])).
% 21.60/21.43 cnf(2531,plain,
% 21.60/21.43 (~E(f9(a57,f9(a57,x25311,f3(a57)),x25312),f2(a57))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,443,1837,444,2010,2013,524,1934,1975,2004,2246,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762])).
% 21.60/21.43 cnf(2538,plain,
% 21.60/21.43 (~E(f9(a57,x25381,f3(a57)),x25381)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2541,plain,
% 21.60/21.43 (~E(f9(a57,x25411,f3(a57)),x25411)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2548,plain,
% 21.60/21.43 (~E(f9(a57,x25481,f3(a57)),x25481)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2553,plain,
% 21.60/21.43 (~P8(a57,x25531,x25531)),
% 21.60/21.43 inference(rename_variables,[],[524])).
% 21.60/21.43 cnf(2556,plain,
% 21.60/21.43 (~P8(a57,x25561,x25561)),
% 21.60/21.43 inference(rename_variables,[],[524])).
% 21.60/21.43 cnf(2559,plain,
% 21.60/21.43 (P8(a57,x25591,f9(a57,x25591,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2563,plain,
% 21.60/21.43 (~P8(a60,f2(a60),f30(a57,f2(a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000])).
% 21.60/21.43 cnf(2564,plain,
% 21.60/21.43 (~P8(a57,x25641,x25641)),
% 21.60/21.43 inference(rename_variables,[],[524])).
% 21.60/21.43 cnf(2573,plain,
% 21.60/21.43 (P7(a60,x25731,x25731)),
% 21.60/21.43 inference(rename_variables,[],[442])).
% 21.60/21.43 cnf(2576,plain,
% 21.60/21.43 (~E(f9(a57,x25761,f3(a57)),x25761)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2578,plain,
% 21.60/21.43 (~E(f31(f31(f8(a57),x25781),f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57))),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109])).
% 21.60/21.43 cnf(2579,plain,
% 21.60/21.43 (~E(f9(a57,x25791,f3(a57)),x25791)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2582,plain,
% 21.60/21.43 (E(f9(a57,x25821,x25822),f9(a57,x25822,x25821))),
% 21.60/21.43 inference(rename_variables,[],[470])).
% 21.60/21.43 cnf(2658,plain,
% 21.60/21.43 (E(f5(x26581,f10(f2(a60)),x26582),f5(x26581,f2(a57),x26582))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,539,1864,1867,1971,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59])).
% 21.60/21.43 cnf(2713,plain,
% 21.60/21.43 (~P7(a57,f31(f31(f8(a57),f9(a57,x27131,f3(a57))),f9(a57,x27132,f3(a57))),f31(f31(f8(a57),f9(a57,x27131,f3(a57))),x27132))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786])).
% 21.60/21.43 cnf(2715,plain,
% 21.60/21.43 (P12(a1,x27151,f2(f61(a1)),f2(f61(a1)),x27151)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,453,527,2085,2208,2211,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765])).
% 21.60/21.43 cnf(2737,plain,
% 21.60/21.43 (P7(a57,f9(a57,f2(a57),x27371),f9(a57,x27372,x27371))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398])).
% 21.60/21.43 cnf(2739,plain,
% 21.60/21.43 (P7(a57,f9(a57,x27391,f2(a57)),f9(a57,x27391,x27392))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397])).
% 21.60/21.43 cnf(2753,plain,
% 21.60/21.43 (P7(a57,f16(a1,f19(a1,x27531,x27532)),x27532)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293])).
% 21.60/21.43 cnf(2757,plain,
% 21.60/21.43 (~P8(a60,f31(f31(f8(a60),x27571),x27571),f2(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,300,343,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210])).
% 21.60/21.43 cnf(2765,plain,
% 21.60/21.43 (P8(a60,x27651,f9(a60,x27651,f3(a60)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,300,343,344,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999])).
% 21.60/21.43 cnf(2771,plain,
% 21.60/21.43 (P7(a60,f2(a60),f31(f31(f8(a60),x27711),x27711))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,300,343,344,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964])).
% 21.60/21.43 cnf(2791,plain,
% 21.60/21.43 (~P7(a60,f3(a60),f2(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,300,343,344,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820])).
% 21.60/21.43 cnf(2795,plain,
% 21.60/21.43 (E(f9(f61(a1),f2(f61(a1)),x27951),x27951)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,300,343,344,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736])).
% 21.60/21.43 cnf(2801,plain,
% 21.60/21.43 (P8(a60,f2(a60),f3(a60))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,295,296,297,300,343,344,346,352,370,373,374,375,376,377,378,381,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711])).
% 21.60/21.43 cnf(2833,plain,
% 21.60/21.43 (~P76(f33(f3(a60),f2(a60)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,343,344,346,352,354,356,370,373,374,375,376,377,378,381,390,401,405,406,410,411,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641])).
% 21.60/21.43 cnf(2851,plain,
% 21.60/21.43 (~E(f3(a1),f2(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,223,230,231,233,234,235,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,343,344,346,352,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600])).
% 21.60/21.43 cnf(2870,plain,
% 21.60/21.43 (P8(a57,x28701,f9(a57,x28701,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2883,plain,
% 21.60/21.43 (P8(a57,x28831,f9(a57,x28831,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2886,plain,
% 21.60/21.43 (P8(a57,x28861,f9(a57,x28861,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(2894,plain,
% 21.60/21.43 (~P7(a57,f9(a57,f2(a57),f3(a57)),f31(f31(f8(a57),f2(a57)),x28941))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,343,344,346,352,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683])).
% 21.60/21.43 cnf(2948,plain,
% 21.60/21.43 (E(f9(a57,f9(a57,f2(a57),f3(a57)),f54(f9(a57,f2(a57),f3(a57)),f9(a57,f2(a57),f3(a57)))),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,343,344,346,352,353,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935])).
% 21.60/21.43 cnf(2950,plain,
% 21.60/21.43 (E(f9(a57,f9(a57,f2(a57),f3(a57)),f51(f9(a57,f2(a57),f3(a57)),f9(a57,f2(a57),f3(a57)))),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,343,344,346,352,353,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934])).
% 21.60/21.43 cnf(2956,plain,
% 21.60/21.43 (E(f16(a1,f6(a1,x29561,x29562)),f16(a1,x29561))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,343,344,346,352,353,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888])).
% 21.60/21.43 cnf(2960,plain,
% 21.60/21.43 (E(f31(f31(f8(f61(a1)),f2(f61(a1))),x29601),f2(f61(a1)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,343,344,346,352,353,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864])).
% 21.60/21.43 cnf(2965,plain,
% 21.60/21.43 (~E(f9(a57,x29651,f3(a57)),x29651)),
% 21.60/21.43 inference(rename_variables,[],[529])).
% 21.60/21.43 cnf(2981,plain,
% 21.60/21.43 (E(f31(f17(a1,f2(f61(a1))),x29811),f2(a1))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,343,344,346,352,353,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747])).
% 21.60/21.43 cnf(2992,plain,
% 21.60/21.43 (E(f10(f30(a57,x29921)),x29921)),
% 21.60/21.43 inference(rename_variables,[],[434])).
% 21.60/21.43 cnf(3002,plain,
% 21.60/21.43 (E(f16(a1,f7(f61(a1),x30021)),f16(a1,x30021))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,288,289,291,295,296,297,300,312,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,466,1889,1902,1908,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709])).
% 21.60/21.43 cnf(3023,plain,
% 21.60/21.43 (P8(a57,x30231,f9(a57,x30231,f3(a57)))),
% 21.60/21.43 inference(rename_variables,[],[479])).
% 21.60/21.43 cnf(3026,plain,
% 21.60/21.43 (P8(a60,x30261,f9(a60,f30(a57,f28(x30261)),f3(a60)))),
% 21.60/21.43 inference(rename_variables,[],[490])).
% 21.60/21.43 cnf(3062,plain,
% 21.60/21.43 (E(f31(f15(a1,f6(a1,x30621,x30622)),x30623),f31(f15(a1,x30621),f9(a1,x30622,x30623)))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,390,401,405,406,410,411,412,413,414,415,417,418,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500])).
% 21.60/21.43 cnf(3226,plain,
% 21.60/21.43 (P10(f61(a1),f31(f31(f14(f61(a1)),f21(a1,f7(a1,x32261),f21(a1,f3(a1),f2(f61(a1))))),f22(a1,x32261,x32262)),x32262)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797])).
% 21.60/21.43 cnf(3230,plain,
% 21.60/21.43 (E(f9(f61(a1),f31(f31(f8(f61(a1)),f21(a1,f7(a1,x32301),f21(a1,f3(a1),f2(f61(a1))))),f27(a1,x32302,x32301)),f21(a1,f31(f15(a1,x32302),x32301),f2(f61(a1)))),x32302)),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799])).
% 21.60/21.43 cnf(3233,plain,
% 21.60/21.43 (~P11(a60,f10(f30(a57,f2(f61(a60)))))),
% 21.60/21.43 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194])).
% 21.60/21.43 cnf(3234,plain,
% 21.60/21.43 (~P11(f10(f30(a57,a60)),f2(f61(a60)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193])).
% 21.60/21.44 cnf(3238,plain,
% 21.60/21.44 (~P7(f9(a57,a57,f2(a57)),f9(a57,f2(a57),f3(a57)),f2(a57))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,2307,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145])).
% 21.60/21.44 cnf(3239,plain,
% 21.60/21.44 (~P8(f9(a57,a57,f2(a57)),f2(a57),f2(a57))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,2307,456,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141])).
% 21.60/21.44 cnf(3244,plain,
% 21.60/21.44 (~P12(f9(a57,f2(a57),a1),f2(f61(a1)),f31(f31(f8(f61(a1)),x32441),x32442),f9(a57,f2(f61(a1)),f3(a57)),f9(f61(a1),f31(f31(f8(f61(a1)),x32441),x32443),f10(f30(a57,f2(f61(a1))))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136])).
% 21.60/21.44 cnf(3253,plain,
% 21.60/21.44 (~P8(a60,f9(a60,f30(a57,f28(x32531)),f3(a60)),x32531)),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985])).
% 21.60/21.44 cnf(3259,plain,
% 21.60/21.44 (E(f30(a57,f28(f2(a60))),f2(a60))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953])).
% 21.60/21.44 cnf(3265,plain,
% 21.60/21.44 (P8(a58,f2(a58),f9(a58,f9(a58,f3(a58),f3(a58)),f3(a58)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813])).
% 21.60/21.44 cnf(3271,plain,
% 21.60/21.44 (P8(a57,f9(a57,x32711,f3(a57)),f9(a57,f9(a57,f9(a57,x32712,x32711),f3(a57)),f3(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371])).
% 21.60/21.44 cnf(3299,plain,
% 21.60/21.44 (~E(f31(f31(f8(a57),f9(a57,x32991,f3(a57))),f9(a57,x32991,f3(a57))),f2(a57))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731])).
% 21.60/21.44 cnf(3301,plain,
% 21.60/21.44 (~E(f31(f31(f8(a57),f9(a57,x33011,f3(a57))),f9(a57,f3(a57),f3(a57))),f9(a57,x33011,f3(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729])).
% 21.60/21.44 cnf(3302,plain,
% 21.60/21.44 (~E(f9(a57,x33021,f3(a57)),x33021)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3312,plain,
% 21.60/21.44 (P7(a58,f2(a58),f31(f31(f8(a58),f3(a58)),f3(a58)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348])).
% 21.60/21.44 cnf(3316,plain,
% 21.60/21.44 (~P8(a60,f3(a60),f11(f9(a57,f9(a57,x33161,f2(a57)),f3(a57)),f29(a60,f2(a60))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244])).
% 21.60/21.44 cnf(3318,plain,
% 21.60/21.44 (~P7(a60,f3(a60),f11(f9(a57,f9(a57,x33181,f2(a57)),f3(a57)),f29(a60,f2(a60))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242])).
% 21.60/21.44 cnf(3334,plain,
% 21.60/21.44 (P10(a1,x33341,f31(f31(f8(a1),f10(f30(a57,f31(f31(f8(a1),x33341),x33342)))),x33343))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181])).
% 21.60/21.44 cnf(3338,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,f2(a57),f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57))),x33381),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145])).
% 21.60/21.44 cnf(3343,plain,
% 21.60/21.44 (~E(f9(a57,x33431,f3(a57)),x33431)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3357,plain,
% 21.60/21.44 (P11(a60,f21(a60,x33571,f21(a60,a62,f10(f30(a57,f2(f61(a60)))))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920])).
% 21.60/21.44 cnf(3360,plain,
% 21.60/21.44 (~E(f9(a57,x33601,f3(a57)),x33601)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3370,plain,
% 21.60/21.44 (~E(f9(a57,f2(a57),f2(a57)),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291])).
% 21.60/21.44 cnf(3385,plain,
% 21.60/21.44 (~E(f9(a57,x33851,f3(a57)),x33851)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3386,plain,
% 21.60/21.44 (~E(f9(a57,x33861,f3(a57)),f2(a57))),
% 21.60/21.44 inference(rename_variables,[],[535])).
% 21.60/21.44 cnf(3389,plain,
% 21.60/21.44 (~E(f9(a57,x33891,f3(a57)),x33891)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3390,plain,
% 21.60/21.44 (~E(f9(a57,x33901,f3(a57)),f2(a57))),
% 21.60/21.44 inference(rename_variables,[],[535])).
% 21.60/21.44 cnf(3396,plain,
% 21.60/21.44 (P8(a58,f9(a58,f2(a58),f2(a58)),f9(a58,f3(a58),f3(a58)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541])).
% 21.60/21.44 cnf(3426,plain,
% 21.60/21.44 (P8(a57,f9(a57,f2(a57),f3(a57)),f31(f31(f8(a57),f9(a57,f9(a57,f9(a57,f2(a57),f3(a57)),x34261),f3(a57))),f9(a57,f9(a57,f9(a57,f2(a57),f3(a57)),x34261),f3(a57))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727])).
% 21.60/21.44 cnf(3434,plain,
% 21.60/21.44 (~P7(a60,f31(f31(f8(a60),a62),a62),f31(f31(f8(a60),f2(a60)),a62))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619])).
% 21.60/21.44 cnf(3436,plain,
% 21.60/21.44 (~P7(a60,f31(f31(f8(a60),a62),a62),f31(f31(f8(a60),a62),f2(a60)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618])).
% 21.60/21.44 cnf(3447,plain,
% 21.60/21.44 (~E(f9(a57,x34471,f3(a57)),x34471)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3450,plain,
% 21.60/21.44 (~E(f9(a57,x34501,f3(a57)),x34501)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3452,plain,
% 21.60/21.44 (~P10(a57,f31(f31(f14(a57),f9(a57,f9(a57,x34521,f9(a57,f2(a57),f3(a57))),f3(a57))),f9(a57,f2(a57),f3(a57))),f31(f31(f14(a57),f9(a57,f2(a57),f3(a57))),f9(a57,f2(a57),f3(a57))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524])).
% 21.60/21.44 cnf(3453,plain,
% 21.60/21.44 (~E(f9(a57,x34531,f3(a57)),x34531)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3467,plain,
% 21.60/21.44 (~E(f9(a57,f2(a57),f3(a57)),f9(a57,f2(a57),f2(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292])).
% 21.60/21.44 cnf(3469,plain,
% 21.60/21.44 (~E(f31(f31(f8(a57),f9(a57,f3(a57),x34691)),f3(a60)),f31(f31(f8(a57),f9(a57,f3(a57),x34691)),f2(a60)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139])).
% 21.60/21.44 cnf(3473,plain,
% 21.60/21.44 (~E(f31(f31(f8(a57),f9(a57,f2(a57),f3(a57))),f9(a57,f2(a57),f3(a57))),f31(f31(f8(a57),f2(a57)),f9(a57,f2(a57),f3(a57))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916])).
% 21.60/21.44 cnf(3474,plain,
% 21.60/21.44 (~E(f9(a57,x34741,f3(a57)),x34741)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3479,plain,
% 21.60/21.44 (~E(f9(a57,x34791,f3(a57)),x34791)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3484,plain,
% 21.60/21.44 (~E(f9(a57,x34841,f3(a57)),x34841)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3490,plain,
% 21.60/21.44 (E(f9(a60,f31(f31(f8(a60),f29(a60,f2(a60))),f29(a60,f2(a60))),f31(f31(f8(a60),f29(a60,f2(a60))),f29(a60,f2(a60)))),f2(a60))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177])).
% 21.60/21.44 cnf(3496,plain,
% 21.60/21.44 (P7(a60,f7(a60,f2(a60)),f2(a60))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013])).
% 21.60/21.44 cnf(3526,plain,
% 21.60/21.44 (~P7(a60,f7(a60,f2(a60)),f7(a60,a62))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120])).
% 21.60/21.44 cnf(3562,plain,
% 21.60/21.44 (P7(a60,f29(a60,f2(a60)),f3(a60))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,394,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028])).
% 21.60/21.44 cnf(3572,plain,
% 21.60/21.44 (P7(a60,f2(a60),f7(a60,f30(a57,f28(f2(a60)))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,233,234,235,236,237,241,243,245,249,251,253,255,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,394,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022])).
% 21.60/21.44 cnf(3576,plain,
% 21.60/21.44 (E(f16(a58,f24(a58,f7(a58,f2(a58)),x35761)),f2(a57))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,390,394,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881])).
% 21.60/21.44 cnf(3586,plain,
% 21.60/21.44 (E(f24(a60,x35861,f10(f30(a57,f2(f61(a60))))),f2(f61(a60)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,388,390,394,398,401,405,406,410,411,412,413,414,415,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754])).
% 21.60/21.44 cnf(3608,plain,
% 21.60/21.44 (P13(a57,f31(f8(a57),f2(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,316,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412])).
% 21.60/21.44 cnf(3612,plain,
% 21.60/21.44 (P10(a58,f31(f31(f8(a58),f7(a58,f2(a58))),x36121),f31(f31(f8(a58),f7(a58,f2(a58))),x36122))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,316,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248])).
% 21.60/21.44 cnf(3614,plain,
% 21.60/21.44 (P10(a58,f31(f31(f8(a58),x36141),f7(a58,f2(a58))),f31(f31(f8(a58),x36142),f7(a58,f2(a58))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,316,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247])).
% 21.60/21.44 cnf(3618,plain,
% 21.60/21.44 (P8(a60,f2(a60),f9(a60,a62,a62))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,316,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230])).
% 21.60/21.44 cnf(3623,plain,
% 21.60/21.44 (~E(f9(a57,x36231,f3(a57)),x36231)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3631,plain,
% 21.60/21.44 (P12(a1,f24(a1,x36311,f2(f61(a1))),x36312,f24(a1,x36311,f10(f30(a57,f2(f61(a1))))),f24(a1,x36311,f10(f30(a57,f2(f61(a1))))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,288,289,291,295,296,297,300,312,316,321,337,343,344,346,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,2302,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802])).
% 21.60/21.44 cnf(3650,plain,
% 21.60/21.44 (~E(f9(a57,x36501,f3(a57)),x36501)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3653,plain,
% 21.60/21.44 (~E(f9(a57,x36531,f3(a57)),x36531)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3666,plain,
% 21.60/21.44 (~E(f9(a57,x36661,f3(a57)),x36661)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3672,plain,
% 21.60/21.44 (~P7(a60,f9(a60,f31(f31(f8(a60),x36721),x36721),f31(f31(f8(a60),f3(a60)),f3(a60))),f2(a60))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,312,316,321,337,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738])).
% 21.60/21.44 cnf(3689,plain,
% 21.60/21.44 (~E(f9(a57,x36891,f3(a57)),x36891)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3692,plain,
% 21.60/21.44 (~E(f9(a57,x36921,f3(a57)),x36921)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3695,plain,
% 21.60/21.44 (~E(f9(a57,x36951,f3(a57)),x36951)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3697,plain,
% 21.60/21.44 (~P10(f61(a1),f31(f31(f14(f61(a1)),f21(a1,f7(a1,x36971),f21(a1,f3(a1),f2(f61(a1))))),f9(a57,f22(a1,x36971,f9(a57,f2(f61(a1)),f3(a57))),f3(a57))),f9(a57,f2(f61(a1)),f3(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,312,316,321,337,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810])).
% 21.60/21.44 cnf(3698,plain,
% 21.60/21.44 (~E(f9(a57,x36981,f3(a57)),x36981)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3716,plain,
% 21.60/21.44 (~E(x37161,f9(a57,f9(f61(a1),f31(f31(f8(f61(a1)),f9(a58,f2(f61(a1)),f2(a58))),f2(f61(a1))),x37161),f3(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,312,316,321,337,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766])).
% 21.60/21.44 cnf(3734,plain,
% 21.60/21.44 (P10(f61(a1),f31(f31(f14(f61(a1)),f21(a1,f7(a1,x37341),f21(a1,f3(a1),f2(f61(a1))))),f2(a57)),x37342)),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,312,316,321,337,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609])).
% 21.60/21.44 cnf(3740,plain,
% 21.60/21.44 (~P7(a60,f31(f31(f14(a60),f9(a60,f30(a57,f28(f3(a60))),f3(a60))),f9(a57,f2(a57),f3(a57))),f31(f31(f14(a60),f9(a60,f30(a57,f28(f3(a60))),f3(a60))),f2(a57)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,312,316,321,337,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663])).
% 21.60/21.44 cnf(3754,plain,
% 21.60/21.44 (P10(f61(a1),f31(f31(f8(f61(a1)),f25(a1,f25(a1,x37541,x37542),x37543)),f25(a1,f25(a1,x37541,x37542),x37543)),f31(f31(f8(f61(a1)),f25(a1,x37541,x37542)),f25(a1,x37541,x37542)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,312,316,321,337,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546])).
% 21.60/21.44 cnf(3782,plain,
% 21.60/21.44 (~P10(a60,f31(f31(f8(a60),f3(a60)),f2(a60)),f31(f31(f8(a60),f3(a60)),f3(a60)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,306,312,316,321,337,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595])).
% 21.60/21.44 cnf(3786,plain,
% 21.60/21.44 (P8(a60,f31(f31(f8(a60),f30(a57,f9(a57,x37861,f3(a57)))),f2(a60)),f31(f31(f8(a60),f30(a57,f9(a57,x37861,f3(a57)))),f30(a57,f9(a57,x37861,f3(a57)))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,306,312,316,321,337,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575])).
% 21.60/21.44 cnf(3808,plain,
% 21.60/21.44 (P10(f61(a60),f24(a60,f29(a60,f2(a60)),x38081),f10(f30(a57,f2(f61(a60)))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,304,306,312,316,321,332,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050])).
% 21.60/21.44 cnf(3818,plain,
% 21.60/21.44 (~P7(a58,f2(a58),f31(f31(f8(a58),f3(a58)),f7(a58,f3(a58))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,300,302,303,304,305,306,312,316,321,332,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473])).
% 21.60/21.44 cnf(3828,plain,
% 21.60/21.44 (P7(a60,f31(f31(f8(a60),f2(a60)),f2(a60)),f2(a60))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,321,330,332,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445])).
% 21.60/21.44 cnf(3838,plain,
% 21.60/21.44 (P8(a58,f2(a58),f31(f31(f8(a58),f3(a58)),f3(a58)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,321,330,332,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437])).
% 21.60/21.44 cnf(3842,plain,
% 21.60/21.44 (P7(a58,f2(a58),f31(f31(f8(a58),f9(a58,f3(a58),f3(a58))),f9(a58,f3(a58),f3(a58))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435])).
% 21.60/21.44 cnf(3844,plain,
% 21.60/21.44 (P7(a58,f2(a58),f31(f31(f8(a58),f31(f31(f8(a58),f3(a58)),f3(a58))),f31(f31(f8(a58),f3(a58)),f3(a58))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434])).
% 21.60/21.44 cnf(3846,plain,
% 21.60/21.44 (P7(a58,f2(a58),f31(f31(f8(a58),f7(a58,f3(a58))),f7(a58,f3(a58))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432])).
% 21.60/21.44 cnf(3850,plain,
% 21.60/21.44 (~E(f31(f31(f8(a60),f3(a60)),f3(a60)),f2(a60))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,319,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802])).
% 21.60/21.44 cnf(3864,plain,
% 21.60/21.44 (~P8(a58,f2(a58),f9(a58,f31(f31(f8(a58),f7(a58,f2(a58))),f7(a58,f2(a58))),f31(f31(f8(a58),f7(a58,f2(a58))),f7(a58,f2(a58)))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,319,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745])).
% 21.60/21.44 cnf(3866,plain,
% 21.60/21.44 (P7(a58,f9(a58,f31(f31(f8(a58),f7(a58,f2(a58))),f7(a58,f2(a58))),f31(f31(f8(a58),f7(a58,f2(a58))),f7(a58,f2(a58)))),f2(a58))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,319,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692])).
% 21.60/21.44 cnf(3870,plain,
% 21.60/21.44 (~E(f9(a57,x38701,f3(a57)),x38701)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3874,plain,
% 21.60/21.44 (E(f31(f17(a1,f25(a1,f9(a58,f2(f61(a1)),f2(a58)),f9(a58,f2(f61(a1)),f2(a58)))),f16(a1,f25(a1,f9(a58,f2(f61(a1)),f2(a58)),f9(a58,f2(f61(a1)),f2(a58))))),f2(a1))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,319,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,3698,2302,436,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692,1294,1272,1650])).
% 21.60/21.44 cnf(3892,plain,
% 21.60/21.44 (P12(a1,f31(f12(x38921,f9(f61(a1),f31(f31(f8(f61(a1)),f27(a1,f2(f61(a1)),x38922)),x38923),f27(a1,f2(f61(a1)),x38922)),x38924),f2(a57)),x38923,f27(a1,f2(f61(a1)),x38922),f27(a1,f2(f61(a1)),x38922))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,300,302,303,304,305,306,312,316,319,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,370,373,374,375,376,377,378,381,384,385,387,388,390,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,3698,2302,436,473,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692,1294,1272,1650,1212,1775,1756,1709,1583,1649,1577,1782,1781])).
% 21.60/21.44 cnf(3895,plain,
% 21.60/21.44 (P7(a60,x38951,x38951)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(3903,plain,
% 21.60/21.44 (P8(a60,f31(f31(f8(a60),f2(a60)),f2(a60)),f31(f31(f8(a60),a62),a62))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,3895,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,299,300,302,303,304,305,306,310,312,313,316,317,319,320,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,363,370,373,374,375,376,377,378,381,384,385,387,388,390,393,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,3698,2302,436,473,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692,1294,1272,1650,1212,1775,1756,1709,1583,1649,1577,1782,1781,1289,1288,855,854,1704])).
% 21.60/21.44 cnf(3905,plain,
% 21.60/21.44 (P8(a57,f31(f31(f8(a57),f22(a1,x39051,x39052)),f22(a1,x39051,x39052)),f31(f31(f8(a57),f10(f9(a60,f30(a57,f22(a1,x39051,x39052)),f3(a60)))),f10(f9(a60,f30(a57,f22(a1,x39051,x39052)),f3(a60)))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,3895,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,299,300,302,303,304,305,306,310,312,313,316,317,319,320,321,330,331,332,333,335,336,337,339,340,343,344,346,347,348,352,353,354,356,360,363,370,373,374,375,376,377,378,381,384,385,387,388,390,393,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,3698,2302,436,473,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692,1294,1272,1650,1212,1775,1756,1709,1583,1649,1577,1782,1781,1289,1288,855,854,1704,1703])).
% 21.60/21.44 cnf(3922,plain,
% 21.60/21.44 (~P7(a58,f3(a58),f7(a58,f2(a58)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,3895,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,299,300,302,303,304,305,306,310,311,312,313,316,317,318,319,320,321,330,331,332,333,334,335,336,337,339,340,343,344,346,347,348,350,352,353,354,356,360,361,363,368,370,373,374,375,376,377,378,381,384,385,387,388,390,391,393,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,3698,3870,2302,436,473,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692,1294,1272,1650,1212,1775,1756,1709,1583,1649,1577,1782,1781,1289,1288,855,854,1704,1703,1702,1701,1700,1699,787,1755,1754,890])).
% 21.60/21.44 cnf(3924,plain,
% 21.60/21.44 (~P8(a58,f2(a58),f7(a58,f3(a58)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,3895,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,299,300,302,303,304,305,306,310,311,312,313,316,317,318,319,320,321,330,331,332,333,334,335,336,337,339,340,343,344,346,347,348,350,352,353,354,356,360,361,363,368,370,373,374,375,376,377,378,381,384,385,387,388,390,391,393,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,3698,3870,2302,436,473,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692,1294,1272,1650,1212,1775,1756,1709,1583,1649,1577,1782,1781,1289,1288,855,854,1704,1703,1702,1701,1700,1699,787,1755,1754,890,889])).
% 21.60/21.44 cnf(3930,plain,
% 21.60/21.44 (P7(a60,f31(f31(f8(a60),f3(a60)),f2(a60)),f7(a60,f31(f31(f8(a60),f2(a60)),f2(a60))))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,3895,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,299,300,302,303,304,305,306,310,311,312,313,316,317,318,319,320,321,330,331,332,333,334,335,336,337,339,340,343,344,346,347,348,350,352,353,354,356,360,361,363,368,370,373,374,375,376,377,378,381,384,385,387,388,390,391,393,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,3698,3870,2302,436,473,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692,1294,1272,1650,1212,1775,1756,1709,1583,1649,1577,1782,1781,1289,1288,855,854,1704,1703,1702,1701,1700,1699,787,1755,1754,890,889,776,775,1359])).
% 21.60/21.44 cnf(3932,plain,
% 21.60/21.44 (~P8(a60,f2(a60),f7(a60,f2(a60)))),
% 21.60/21.44 inference(scs_inference,[],[520,441,1895,2023,2185,2243,2250,2253,2284,442,1905,1929,1931,2019,2022,2225,2514,2573,3895,443,1837,444,2010,2013,524,1934,1975,2004,2246,2304,2553,2556,2564,223,225,227,230,231,232,233,234,235,236,237,241,243,245,249,251,253,255,256,257,259,260,262,263,265,268,269,270,271,272,273,274,276,280,281,282,283,287,288,289,291,295,296,297,298,299,300,302,303,304,305,306,310,311,312,313,316,317,318,319,320,321,330,331,332,333,334,335,336,337,339,340,343,344,346,347,348,350,352,353,354,356,360,361,363,368,370,373,374,375,376,377,378,381,384,385,387,388,390,391,393,394,398,401,405,406,410,411,412,413,414,415,416,417,418,419,420,421,450,452,2214,2312,453,1825,527,2085,2208,2211,2217,448,459,460,521,522,481,425,426,428,429,430,432,477,1834,1840,1849,1852,2038,478,2269,537,1828,1858,1861,1873,538,1855,1870,470,1831,1843,1927,2298,2582,465,2205,536,434,1876,1920,1922,1924,1978,2016,2071,2237,2257,2272,2280,2309,2992,2256,435,466,1889,1902,1908,2193,479,1966,1970,1974,1981,1984,1987,1991,1994,1997,2003,2007,2035,2042,2047,2051,2086,2220,2226,2233,2240,2247,2260,2521,2559,2870,2883,2886,3023,539,1864,1867,1971,2283,454,2307,455,456,2041,457,529,1879,1936,1988,2026,2029,2032,2048,2068,2093,2096,2117,2120,2123,2126,2131,2136,2153,2156,2163,2166,2176,2179,2182,2236,2287,2290,2295,2299,2303,2308,2337,2524,2538,2541,2548,2576,2579,2965,3302,3343,3360,3385,3389,3447,3450,3453,3474,3479,3484,3623,3650,3653,3666,3689,3692,3695,3698,3870,2302,436,473,509,1846,1967,2054,2057,2222,2227,2529,510,2188,480,476,2199,535,1911,1914,2000,3386,3390,490,1892,1917,2076,2196,2202,2221,2275,3026,446,493,540,501,484,2,770,744,743,742,752,1358,949,892,1391,1320,1318,1307,1300,1299,1298,1167,1155,1153,1151,1149,1091,941,879,748,14,1598,1589,1588,1509,1508,1411,1401,1070,1069,980,979,765,764,1362,222,173,167,152,151,147,146,143,142,3,990,989,986,954,952,897,895,886,831,785,784,677,675,1191,1190,1111,1118,1382,1239,1237,838,837,817,816,684,1449,1243,1311,1310,891,1226,1195,1794,1793,1792,1540,1539,1303,807,1389,1309,1259,867,1041,1039,1038,795,632,629,615,1606,1604,1429,1425,1087,1083,1049,634,1796,1067,1065,1064,1063,1061,1060,1058,1056,1034,849,848,847,846,626,625,624,623,621,609,1376,1375,1374,1373,1372,1055,1021,799,827,826,825,814,751,750,863,1590,1482,1800,1134,1133,1132,1131,1130,1129,1004,912,910,904,850,1451,1450,1485,1222,1790,1410,1409,1408,1407,1406,1769,1556,1555,1554,1553,1160,1287,1811,1278,1457,1385,1384,1071,858,1625,1795,1780,1236,876,875,873,805,804,803,668,667,658,654,653,768,767,661,1228,1390,1314,1313,1176,1174,1171,1170,1092,967,966,942,939,938,686,685,672,671,659,620,619,618,617,616,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,1714,1631,1503,975,974,929,921,861,815,808,762,761,732,728,727,649,648,602,601,1271,1270,1138,1136,1000,944,930,925,919,1110,1109,1044,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,13,12,11,10,9,8,7,6,5,4,1786,1765,1762,1732,1686,1596,1517,1516,1403,1402,1400,1399,1398,1397,1334,1333,1331,1327,1326,1295,1293,1215,1210,1156,1006,1005,999,971,970,964,948,947,900,899,880,856,829,828,821,820,818,736,735,730,711,710,708,707,694,693,692,690,689,688,683,682,681,680,679,678,641,640,639,638,637,631,630,627,613,600,1760,1706,1522,1521,1467,1466,1302,1301,1279,1275,1274,1214,1213,1143,937,936,791,790,788,1683,1682,1634,1140,903,1770,1685,1587,1534,1533,1505,1499,1498,1360,1357,1346,1345,1290,1107,1106,1105,1102,1042,946,945,943,940,935,934,927,926,888,877,864,819,796,763,760,759,758,757,756,755,747,746,745,722,721,719,718,717,715,714,709,702,701,699,697,696,650,608,607,605,1329,1262,1261,1812,1737,1690,1687,1660,1659,1630,1629,1628,1612,1538,1537,1513,1512,1511,1507,1500,1481,1480,1479,1469,1387,1370,1369,1368,1367,1365,1364,1352,1351,1328,1161,1124,1117,1115,1114,1113,1090,1089,1079,1078,1068,1053,1051,1043,1020,1019,902,809,778,777,737,720,1719,1712,1708,1705,1696,1695,1678,1656,1655,1646,1645,1611,1610,1582,1580,1579,1548,1547,1542,1532,1530,1501,1470,1468,1260,1188,1184,1126,1125,1788,1749,1720,1717,1697,1661,1657,1515,860,1803,1758,1736,1734,1725,1724,1718,1797,1751,1799,221,194,193,169,164,150,145,141,140,139,138,137,136,1101,1100,1099,1098,985,981,963,953,884,836,813,812,1791,1371,1395,1325,1186,1336,1335,1240,1208,1206,1205,1142,1141,1009,950,731,729,665,1386,1350,1349,1348,1277,1244,1242,1204,1203,1202,1201,1199,1198,1197,1181,1180,1145,1144,1119,1074,1073,1018,1017,969,968,920,1010,1783,1711,1710,1694,1291,1282,1265,1255,1254,1253,1252,1147,1146,1076,1075,1541,1483,1464,1405,1381,1216,998,997,996,995,993,992,647,645,644,643,1727,1726,1624,1622,1619,1618,1617,1616,1615,1529,1527,1526,1524,1496,1495,1494,1493,1492,1396,1292,1139,917,916,915,914,771,766,1658,1343,1177,1223,1014,1013,1011,965,700,604,1602,1600,1578,1428,1427,1426,1415,1414,1413,1122,1120,1085,1081,1037,928,923,636,1607,1378,1377,1234,1221,1220,1219,1035,1033,1032,1031,1028,1027,1026,1025,1024,1022,898,881,866,823,822,797,754,753,724,723,704,703,695,642,612,611,610,1412,1342,1248,1247,1231,1230,1229,824,792,713,705,1802,1728,1312,973,893,865,1636,1593,1592,1104,852,851,786,774,773,1677,1162,868,1739,1738,1689,1688,1536,1535,1123,769,1514,1627,1626,1506,1810,1693,1691,1388,1807,1806,1054,845,1722,1766,1585,1721,1394,1392,1015,666,749,734,1609,1544,1416,1663,1552,1550,1235,1227,1633,1632,1546,1748,1730,1681,1767,1676,1569,1670,1669,1668,1640,1639,1638,1637,1595,1594,1575,1574,1573,1572,1571,1568,1567,1566,1559,1558,1273,1050,1519,1518,1478,1475,1473,1472,1471,1462,1456,1445,1443,1441,1440,1438,1437,1436,1435,1434,1432,806,802,800,793,1680,1679,1648,1647,1745,1692,1294,1272,1650,1212,1775,1756,1709,1583,1649,1577,1782,1781,1289,1288,855,854,1704,1703,1702,1701,1700,1699,787,1755,1754,890,889,776,775,1359,1264])).
% 21.60/21.44 cnf(3957,plain,
% 21.60/21.44 (~E(f16(a1,x39571),f16(a1,a64))+~E(f31(f15(a1,x39571),f49(x39571)),f31(f15(a1,a64),f9(a1,a65,f49(x39571))))),
% 21.60/21.44 inference(scs_inference,[],[520,1381])).
% 21.60/21.44 cnf(3972,plain,
% 21.60/21.44 (P8(a57,x39721,f9(a57,f9(a57,x39722,x39721),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(3977,plain,
% 21.60/21.44 (P8(a57,x39771,f9(a57,f9(a57,x39772,x39771),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(3980,plain,
% 21.60/21.44 (P8(a60,x39801,f9(a60,f30(a57,f28(x39801)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(3983,plain,
% 21.60/21.44 (P8(a60,x39831,f9(a60,f30(a57,f28(x39831)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(3986,plain,
% 21.60/21.44 (~E(f9(a57,x39861,f3(a57)),x39861)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3989,plain,
% 21.60/21.44 (~E(f9(a57,x39891,f3(a57)),x39891)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(3992,plain,
% 21.60/21.44 (~E(f9(a57,x39921,f3(a57)),x39921)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4011,plain,
% 21.60/21.44 (P8(a60,x40111,f9(a60,x40111,f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[2765])).
% 21.60/21.44 cnf(4012,plain,
% 21.60/21.44 (P7(a60,x40121,x40121)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4015,plain,
% 21.60/21.44 (E(f31(f17(a1,f2(f61(a1))),x40151),f2(a1))),
% 21.60/21.44 inference(rename_variables,[],[2981])).
% 21.60/21.44 cnf(4021,plain,
% 21.60/21.44 (P10(f61(a1),f31(f31(f14(f61(a1)),f21(a1,f7(a1,x40211),f21(a1,f3(a1),f2(f61(a1))))),f22(a1,x40211,x40212)),x40212)),
% 21.60/21.44 inference(rename_variables,[],[3226])).
% 21.60/21.44 cnf(4024,plain,
% 21.60/21.44 (P7(a60,x40241,f30(a57,f10(x40241)))),
% 21.60/21.44 inference(rename_variables,[],[466])).
% 21.60/21.44 cnf(4027,plain,
% 21.60/21.44 (~P8(a60,f30(a57,x40271),f2(a60))),
% 21.60/21.44 inference(rename_variables,[],[536])).
% 21.60/21.44 cnf(4030,plain,
% 21.60/21.44 (E(f31(f31(f8(a58),x40301),f3(a58)),x40301)),
% 21.60/21.44 inference(rename_variables,[],[438])).
% 21.60/21.44 cnf(4037,plain,
% 21.60/21.44 (P8(a60,f2(a60),f30(a57,f9(a57,x40371,f3(a57))))),
% 21.60/21.44 inference(rename_variables,[],[493])).
% 21.60/21.44 cnf(4050,plain,
% 21.60/21.44 (P7(a60,f2(a60),f31(f31(f8(a60),x40501),x40501))),
% 21.60/21.44 inference(rename_variables,[],[2771])).
% 21.60/21.44 cnf(4053,plain,
% 21.60/21.44 (P7(a58,x40531,x40531)),
% 21.60/21.44 inference(rename_variables,[],[443])).
% 21.60/21.44 cnf(4056,plain,
% 21.60/21.44 (~P8(a60,x40561,x40561)),
% 21.60/21.44 inference(rename_variables,[],[1814])).
% 21.60/21.44 cnf(4060,plain,
% 21.60/21.44 (~E(f9(a57,x40601,f3(a57)),x40601)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4063,plain,
% 21.60/21.44 (~E(f9(a57,x40631,f9(a57,x40632,f3(a57))),x40632)),
% 21.60/21.44 inference(rename_variables,[],[1872])).
% 21.60/21.44 cnf(4064,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x40641,f3(a57)),x40642),x40641)),
% 21.60/21.44 inference(rename_variables,[],[1959])).
% 21.60/21.44 cnf(4067,plain,
% 21.60/21.44 (P7(a58,x40671,x40671)),
% 21.60/21.44 inference(rename_variables,[],[443])).
% 21.60/21.44 cnf(4070,plain,
% 21.60/21.44 (P7(a57,x40701,x40701)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4071,plain,
% 21.60/21.44 (~E(x40711,f9(a57,x40711,f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[1820])).
% 21.60/21.44 cnf(4072,plain,
% 21.60/21.44 (P7(a57,f2(a57),x40721)),
% 21.60/21.44 inference(rename_variables,[],[452])).
% 21.60/21.44 cnf(4075,plain,
% 21.60/21.44 (P7(a57,f2(a57),x40751)),
% 21.60/21.44 inference(rename_variables,[],[452])).
% 21.60/21.44 cnf(4076,plain,
% 21.60/21.44 (P7(a57,x40761,x40761)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4079,plain,
% 21.60/21.44 (P7(a58,x40791,x40791)),
% 21.60/21.44 inference(rename_variables,[],[443])).
% 21.60/21.44 cnf(4082,plain,
% 21.60/21.44 (~P8(a57,x40821,x40821)),
% 21.60/21.44 inference(rename_variables,[],[524])).
% 21.60/21.44 cnf(4083,plain,
% 21.60/21.44 (P7(a57,x40831,x40831)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4084,plain,
% 21.60/21.44 (~E(f9(a57,x40841,f3(a57)),x40841)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4087,plain,
% 21.60/21.44 (P7(a58,x40871,x40871)),
% 21.60/21.44 inference(rename_variables,[],[443])).
% 21.60/21.44 cnf(4094,plain,
% 21.60/21.44 (P7(a60,f7(a60,f31(f31(f8(a60),x40941),x40941)),f31(f31(f8(a60),x40942),x40942))),
% 21.60/21.44 inference(rename_variables,[],[504])).
% 21.60/21.44 cnf(4097,plain,
% 21.60/21.44 (~P8(a60,f31(f31(f8(a60),x40971),x40971),f2(a60))),
% 21.60/21.44 inference(rename_variables,[],[2757])).
% 21.60/21.44 cnf(4100,plain,
% 21.60/21.44 (P8(a60,x41001,f9(a60,x41001,f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[2765])).
% 21.60/21.44 cnf(4104,plain,
% 21.60/21.44 (~E(f9(a57,x41041,f3(a57)),x41041)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4107,plain,
% 21.60/21.44 (~E(f9(a57,x41071,f3(a57)),x41071)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4116,plain,
% 21.60/21.44 (P8(a57,x41161,f9(a57,f9(a57,x41162,x41161),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4119,plain,
% 21.60/21.44 (P8(a57,x41191,f9(a57,f9(a57,x41192,x41191),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4134,plain,
% 21.60/21.44 (~P8(a60,x41341,x41341)),
% 21.60/21.44 inference(rename_variables,[],[1814])).
% 21.60/21.44 cnf(4138,plain,
% 21.60/21.44 (P8(a57,x41381,f31(f31(f8(a57),f9(a57,x41381,f3(a57))),f9(a57,x41381,f3(a57))))),
% 21.60/21.44 inference(rename_variables,[],[2198])).
% 21.60/21.44 cnf(4141,plain,
% 21.60/21.44 (~P8(a57,x41411,x41411)),
% 21.60/21.44 inference(rename_variables,[],[524])).
% 21.60/21.44 cnf(4144,plain,
% 21.60/21.44 (P8(a57,x41441,f9(a57,f9(a57,x41442,x41441),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4147,plain,
% 21.60/21.44 (P8(a57,x41471,f9(a57,x41471,f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[479])).
% 21.60/21.44 cnf(4150,plain,
% 21.60/21.44 (~E(f9(a57,x41501,f9(a57,f2(a57),f3(a57))),x41501)),
% 21.60/21.44 inference(rename_variables,[],[1878])).
% 21.60/21.44 cnf(4153,plain,
% 21.60/21.44 (~E(f9(a57,x41531,f3(a57)),x41531)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4154,plain,
% 21.60/21.44 (P8(a57,x41541,f9(a57,f9(a57,x41542,x41541),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4157,plain,
% 21.60/21.44 (~E(f9(a57,x41571,f3(a57)),x41571)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4158,plain,
% 21.60/21.44 (P8(a57,x41581,f9(a57,f9(a57,x41582,x41581),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4169,plain,
% 21.60/21.44 (P7(a60,x41691,x41691)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4172,plain,
% 21.60/21.44 (P8(a60,x41721,f9(a60,f30(a57,f28(x41721)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4173,plain,
% 21.60/21.44 (P7(a60,x41731,x41731)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4176,plain,
% 21.60/21.44 (P8(a57,x41761,f9(a57,f9(a57,x41762,x41761),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4179,plain,
% 21.60/21.44 (P8(a57,x41791,f9(a57,f9(a57,x41791,x41792),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[510])).
% 21.60/21.44 cnf(4180,plain,
% 21.60/21.44 (P7(a60,x41801,x41801)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4183,plain,
% 21.60/21.44 (P8(a60,x41831,f9(a60,f30(a57,f28(x41831)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4184,plain,
% 21.60/21.44 (P8(a57,x41841,f9(a57,f9(a57,x41842,x41841),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4187,plain,
% 21.60/21.44 (P8(a60,x41871,f9(a60,f30(a57,f28(x41871)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4188,plain,
% 21.60/21.44 (P8(a57,x41881,f9(a57,f9(a57,x41882,x41881),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4200,plain,
% 21.60/21.44 (P8(a57,x42001,f9(a57,f9(a57,x42002,x42001),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4203,plain,
% 21.60/21.44 (~E(f9(a57,x42031,f3(a57)),x42031)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4204,plain,
% 21.60/21.44 (P8(a57,x42041,f9(a57,f9(a57,x42042,x42041),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4207,plain,
% 21.60/21.44 (P8(a57,x42071,f9(a57,f9(a57,x42071,x42072),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[510])).
% 21.60/21.44 cnf(4213,plain,
% 21.60/21.44 (P8(a60,f7(a60,f9(a60,f30(a57,f28(f7(a60,x42131))),f3(a60))),x42131)),
% 21.60/21.44 inference(scs_inference,[],[254,258,277,308,345,379,389,431,266,438,504,4094,441,4070,4076,4083,442,4012,4169,4173,443,4053,4067,4079,4087,524,4082,452,4072,453,527,477,466,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,510,4179,490,3980,3983,4172,4183,4187,263,276,479,236,235,305,273,306,343,450,269,296,262,373,493,374,234,303,375,414,536,4027,459,460,230,302,255,253,233,346,1943,2190,1951,1941,2112,2801,1878,2184,1872,1959,1820,3434,3469,3754,2192,3226,4021,2355,3697,2513,3618,3259,3002,3808,2981,4015,1814,4056,3612,3334,3614,2198,2713,3786,2765,4011,3930,3526,2088,2419,2499,2501,3838,3562,2563,2757,4097,2771,3572,2791,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087])).
% 21.60/21.44 cnf(4214,plain,
% 21.60/21.44 (P8(a60,x42141,f9(a60,f30(a57,f28(x42141)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4267,plain,
% 21.60/21.44 (~E(f9(a57,x42671,f3(a57)),x42671)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4302,plain,
% 21.60/21.44 (P7(a60,x43021,x43021)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4303,plain,
% 21.60/21.44 (P8(a57,x43031,f9(a57,f9(a57,x43032,x43031),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4306,plain,
% 21.60/21.44 (P7(a57,f2(a57),x43061)),
% 21.60/21.44 inference(rename_variables,[],[452])).
% 21.60/21.44 cnf(4311,plain,
% 21.60/21.44 (P7(a58,x43111,x43111)),
% 21.60/21.44 inference(rename_variables,[],[443])).
% 21.60/21.44 cnf(4314,plain,
% 21.60/21.44 (P8(a57,x43141,f9(a57,f9(a57,x43142,x43141),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4337,plain,
% 21.60/21.44 (P7(a57,x43371,x43371)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4340,plain,
% 21.60/21.44 (P8(a57,x43401,f9(a57,f9(a57,x43402,x43401),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4343,plain,
% 21.60/21.44 (P8(a60,x43431,f9(a60,f30(a57,f28(x43431)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4350,plain,
% 21.60/21.44 (P8(a57,x43501,f9(a57,f9(a57,x43502,x43501),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4351,plain,
% 21.60/21.44 (P8(a57,x43511,f9(a57,f9(a57,x43512,x43511),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4354,plain,
% 21.60/21.44 (P7(a57,x43541,x43541)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4355,plain,
% 21.60/21.44 (P7(a57,x43551,x43551)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4358,plain,
% 21.60/21.44 (~E(f9(a57,x43581,f3(a57)),x43581)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4361,plain,
% 21.60/21.44 (E(f9(a57,x43611,f2(a57)),x43611)),
% 21.60/21.44 inference(rename_variables,[],[454])).
% 21.60/21.44 cnf(4372,plain,
% 21.60/21.44 (~E(f9(a57,x43721,f3(a57)),x43721)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4375,plain,
% 21.60/21.44 (P8(a60,x43751,f9(a60,f30(a57,f28(x43751)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4376,plain,
% 21.60/21.44 (P7(a60,x43761,f30(a57,f10(x43761)))),
% 21.60/21.44 inference(rename_variables,[],[466])).
% 21.60/21.44 cnf(4377,plain,
% 21.60/21.44 (P7(a60,x43771,x43771)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4380,plain,
% 21.60/21.44 (P7(a57,x43801,f9(a57,x43802,x43801))),
% 21.60/21.44 inference(rename_variables,[],[477])).
% 21.60/21.44 cnf(4381,plain,
% 21.60/21.44 (P7(a57,x43811,x43811)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4392,plain,
% 21.60/21.44 (~P7(a57,f9(a57,x43921,f3(a57)),x43921)),
% 21.60/21.44 inference(rename_variables,[],[539])).
% 21.60/21.44 cnf(4397,plain,
% 21.60/21.44 (P8(a57,x43971,f9(a57,f9(a57,x43972,x43971),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4398,plain,
% 21.60/21.44 (P7(a60,x43981,x43981)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4416,plain,
% 21.60/21.44 (~E(f9(a57,x44161,f3(a57)),x44161)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4437,plain,
% 21.60/21.44 (P7(a58,x44371,x44371)),
% 21.60/21.44 inference(rename_variables,[],[443])).
% 21.60/21.44 cnf(4442,plain,
% 21.60/21.44 (P7(a57,x44421,x44421)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4443,plain,
% 21.60/21.44 (P7(a57,f2(a57),x44431)),
% 21.60/21.44 inference(rename_variables,[],[452])).
% 21.60/21.44 cnf(4448,plain,
% 21.60/21.44 (P8(a60,x44481,f9(a60,f30(a57,f28(x44481)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4451,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),f3(a57)),x44511),x44511)),
% 21.60/21.44 inference(rename_variables,[],[445])).
% 21.60/21.44 cnf(4454,plain,
% 21.60/21.44 (P7(a57,x44541,x44541)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4455,plain,
% 21.60/21.44 (P8(a57,x44551,f9(a57,f9(a57,x44552,x44551),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4456,plain,
% 21.60/21.44 (P8(a57,x44561,f9(a57,f9(a57,x44562,x44561),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4459,plain,
% 21.60/21.44 (P7(a57,x44591,f9(a57,x44592,x44591))),
% 21.60/21.44 inference(rename_variables,[],[477])).
% 21.60/21.44 cnf(4460,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x44601,f3(a57)),x44602),x44601)),
% 21.60/21.44 inference(rename_variables,[],[1959])).
% 21.60/21.44 cnf(4486,plain,
% 21.60/21.44 (P8(a57,x44861,f9(a57,f9(a57,x44862,x44861),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4489,plain,
% 21.60/21.44 (~E(f9(a57,x44891,f3(a57)),f2(a57))),
% 21.60/21.44 inference(rename_variables,[],[535])).
% 21.60/21.44 cnf(4490,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,f2(a57),f9(a57,f9(a57,f2(a57),f3(a57)),f3(a57))),x44901),f9(a57,f2(a57),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[3338])).
% 21.60/21.44 cnf(4493,plain,
% 21.60/21.44 (~E(f9(a57,x44931,f3(a57)),x44931)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4498,plain,
% 21.60/21.44 (P8(a60,x44981,f9(a60,f30(a57,f28(x44981)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4507,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x45071),f3(a57)),x45071)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(4508,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x45081,f3(a57)),x45082),x45081)),
% 21.60/21.44 inference(rename_variables,[],[1959])).
% 21.60/21.44 cnf(4513,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x45131),f3(a57)),x45131)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(4518,plain,
% 21.60/21.44 (~P8(a58,x45181,x45181)),
% 21.60/21.44 inference(rename_variables,[],[1939])).
% 21.60/21.44 cnf(4520,plain,
% 21.60/21.44 (~P7(a58,f9(a58,x45201,f3(a58)),x45201)),
% 21.60/21.44 inference(scs_inference,[],[224,228,246,250,254,258,277,290,308,314,338,345,379,389,392,395,396,427,431,464,486,266,275,492,437,4507,438,4030,474,445,504,4094,441,4070,4076,4083,4337,4355,4381,4442,442,4012,4169,4173,4180,4302,4377,443,4053,4067,4079,4087,4311,444,524,4082,256,299,387,391,452,4072,4075,4306,453,527,481,477,4380,466,4024,539,4392,454,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,4267,4358,4372,4416,4493,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,4204,4303,4314,4340,4351,4397,4456,510,4179,476,535,490,3980,3983,4172,4183,4187,4214,4343,4375,4448,4498,263,276,298,332,333,334,419,479,236,235,281,305,376,377,436,273,232,306,343,450,269,296,347,262,231,297,373,493,411,374,234,303,375,414,536,4027,459,460,230,302,418,255,253,233,346,521,3467,1943,2190,1963,1951,1941,2112,2801,3436,3265,3496,2658,2795,2063,2282,1878,4150,2184,3338,1872,4063,1959,4064,4460,4508,1820,3850,2204,3434,3469,3842,3846,3754,2192,3226,4021,2355,3697,2513,2059,3586,3618,3259,3002,3808,2981,4015,2715,2255,3874,1814,4056,1939,4518,2894,1969,3612,3334,3452,3614,2198,3905,2713,2259,3786,2765,4011,4100,3930,3526,2088,2737,2739,2393,2395,2415,2419,2459,2465,2499,2501,2851,3838,3922,3932,3818,3562,2563,2757,4097,2771,3572,2791,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087,1085,1083,1037,928,1377,1234,1058,823,822,754,703,695,626,1248,1247,705,1802,1312,893,865,826,825,750,1636,1593,1104,863,868,1739,1626,1506,1810,1388,1807,845,1585,1721,1485,1392,666,734,1222,1609,1544,1550,1408,1227,1769,1632,1546,1730,1638,1567,1558,1478,1473,1457,1438,1437,1436,1434,1680,1679,1294,1650,1212,1775,1709,1625,1702,1699,658,654,1149,1000,1508,784,1206,684,1010,1464,1216,644,1524,1496,915,923,1067,1032,866,713,774,1800,912,1552,1407,1633,1681,1668,1456,793,1649,1288,805,744,752,889,1298,879,1589,1402,989,1395,1204,1147,993,1221,1034,609,1688,1670,1278,1384,806,1299,1171,1170])).
% 21.60/21.44 cnf(4521,plain,
% 21.60/21.44 (~P8(a58,x45211,x45211)),
% 21.60/21.44 inference(rename_variables,[],[1939])).
% 21.60/21.44 cnf(4529,plain,
% 21.60/21.44 (P8(a58,f7(a58,f3(a58)),f2(a58))),
% 21.60/21.44 inference(scs_inference,[],[224,228,246,250,254,258,277,290,308,314,338,345,379,389,392,395,396,427,431,464,486,266,275,492,437,4507,438,4030,474,445,504,4094,441,4070,4076,4083,4337,4355,4381,4442,442,4012,4169,4173,4180,4302,4377,443,4053,4067,4079,4087,4311,444,524,4082,256,299,387,391,452,4072,4075,4306,453,527,481,477,4380,538,466,4024,539,4392,454,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,4267,4358,4372,4416,4493,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,4204,4303,4314,4340,4351,4397,4456,510,4179,4207,476,535,490,3980,3983,4172,4183,4187,4214,4343,4375,4448,4498,263,276,298,332,333,334,419,479,236,235,281,305,376,377,436,273,232,306,343,450,269,296,347,262,231,297,373,493,411,374,234,303,375,414,536,4027,459,460,230,302,418,255,253,233,346,521,3467,1943,2190,1963,1951,1941,2112,2801,3436,3265,3496,2658,2795,2063,2282,1878,4150,2184,3338,1872,4063,1959,4064,4460,4508,1820,3850,2204,3434,3469,3842,3846,3754,2192,3226,4021,2355,3697,2513,2059,3586,3618,3259,3002,3808,2981,4015,2128,2715,2255,3874,1814,4056,1939,4518,2894,1969,3612,3334,3452,3614,2198,3905,2713,2259,3786,2765,4011,4100,3930,3526,2088,2737,2739,2393,2395,2415,2419,2459,2465,2499,2501,2851,3838,3922,3924,3932,3818,3562,2563,2757,4097,2771,3572,2791,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087,1085,1083,1037,928,1377,1234,1058,823,822,754,703,695,626,1248,1247,705,1802,1312,893,865,826,825,750,1636,1593,1104,863,868,1739,1626,1506,1810,1388,1807,845,1585,1721,1485,1392,666,734,1222,1609,1544,1550,1408,1227,1769,1632,1546,1730,1638,1567,1558,1478,1473,1457,1438,1437,1436,1434,1680,1679,1294,1650,1212,1775,1709,1625,1702,1699,658,654,1149,1000,1508,784,1206,684,1010,1464,1216,644,1524,1496,915,923,1067,1032,866,713,774,1800,912,1552,1407,1633,1681,1668,1456,793,1649,1288,805,744,752,889,1298,879,1589,1402,989,1395,1204,1147,993,1221,1034,609,1688,1670,1278,1384,806,1299,1171,1170,1155,1598,1070,813])).
% 21.60/21.44 cnf(4552,plain,
% 21.60/21.44 (P8(a60,x45521,f9(a60,f30(a57,f28(x45521)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4553,plain,
% 21.60/21.44 (P8(a57,x45531,f9(a57,f9(a57,x45532,x45531),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4566,plain,
% 21.60/21.44 (P8(a57,x45661,f9(a57,x45661,f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[479])).
% 21.60/21.44 cnf(4567,plain,
% 21.60/21.44 (P7(a60,x45671,x45671)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4570,plain,
% 21.60/21.44 (P7(a60,x45701,x45701)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4585,plain,
% 21.60/21.44 (~P8(a57,f9(a57,x45851,x45852),x45852)),
% 21.60/21.44 inference(rename_variables,[],[537])).
% 21.60/21.44 cnf(4588,plain,
% 21.60/21.44 (P8(a60,x45881,f9(a60,f30(a57,f28(x45881)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(4619,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x46191),f3(a57)),x46191)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(4626,plain,
% 21.60/21.44 (~P8(a58,x46261,x46261)),
% 21.60/21.44 inference(rename_variables,[],[1939])).
% 21.60/21.44 cnf(4635,plain,
% 21.60/21.44 (~P8(a60,f9(a60,f30(a57,f28(x46351)),f3(a60)),x46351)),
% 21.60/21.44 inference(rename_variables,[],[3253])).
% 21.60/21.44 cnf(4646,plain,
% 21.60/21.44 (~E(f9(a60,x46461,f3(a60)),x46461)),
% 21.60/21.44 inference(rename_variables,[],[2065])).
% 21.60/21.44 cnf(4650,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x46501),f3(a57)),x46501)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(4652,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x46521),f3(a57)),x46521)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(4654,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x46541),f3(a57)),x46541)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(4656,plain,
% 21.60/21.44 (P12(a1,f9(a57,f9(f61(a1),f31(f31(f8(f61(a1)),x46561),f9(a57,f2(f61(a1)),f3(a57))),f10(f30(a57,f2(f61(a1))))),f2(a57)),f9(a57,f2(f61(a1)),f3(a57)),x46561,f10(f30(a57,f2(f61(a1)))))),
% 21.60/21.44 inference(rename_variables,[],[2306])).
% 21.60/21.44 cnf(4658,plain,
% 21.60/21.44 (~E(f9(a57,x46581,f3(a57)),x46581)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4659,plain,
% 21.60/21.44 (E(f9(a57,x46591,x46592),f9(a57,x46592,x46591))),
% 21.60/21.44 inference(rename_variables,[],[470])).
% 21.60/21.44 cnf(4667,plain,
% 21.60/21.44 (P8(a57,f2(a57),f9(a57,x46671,f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[480])).
% 21.60/21.44 cnf(4670,plain,
% 21.60/21.44 (~P8(a57,x46701,f10(f2(a60)))),
% 21.60/21.44 inference(rename_variables,[],[1822])).
% 21.60/21.44 cnf(4676,plain,
% 21.60/21.44 (~P8(a57,f9(a57,x46761,x46762),x46761)),
% 21.60/21.44 inference(rename_variables,[],[538])).
% 21.60/21.44 cnf(4681,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x46811),f3(a57)),x46811)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(4682,plain,
% 21.60/21.44 (P8(a57,x46821,f9(a57,f9(a57,x46822,x46821),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4685,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x46851),f3(a57)),x46851)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(4686,plain,
% 21.60/21.44 (P8(a57,x46861,f9(a57,f9(a57,x46862,x46861),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4689,plain,
% 21.60/21.44 (~E(f9(a60,x46891,f3(a60)),x46891)),
% 21.60/21.44 inference(rename_variables,[],[2065])).
% 21.60/21.44 cnf(4692,plain,
% 21.60/21.44 (P8(a57,x46921,f9(a57,f9(a57,x46922,x46921),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4695,plain,
% 21.60/21.44 (P8(a57,x46951,f9(a57,f9(a57,x46952,x46951),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4700,plain,
% 21.60/21.44 (P8(a57,x47001,f9(a57,x47001,f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[479])).
% 21.60/21.44 cnf(4701,plain,
% 21.60/21.44 (P7(a60,x47011,x47011)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4708,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x47081,x47082),f3(a57)),x47082)),
% 21.60/21.44 inference(rename_variables,[],[1881])).
% 21.60/21.44 cnf(4709,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x47091,x47092),f3(a57)),x47091)),
% 21.60/21.44 inference(rename_variables,[],[1961])).
% 21.60/21.44 cnf(4723,plain,
% 21.60/21.44 (P8(a57,x47231,f9(a57,f9(a57,x47232,x47231),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4726,plain,
% 21.60/21.44 (P8(a57,x47261,f9(a57,f9(a57,x47261,x47262),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[510])).
% 21.60/21.44 cnf(4727,plain,
% 21.60/21.44 (P7(a60,x47271,x47271)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4744,plain,
% 21.60/21.44 (~E(f9(a57,x47441,f3(a57)),x47441)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4748,plain,
% 21.60/21.44 (~E(f9(a57,x47481,f3(a57)),x47481)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4749,plain,
% 21.60/21.44 (~E(f9(a57,x47491,f3(a57)),x47491)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4802,plain,
% 21.60/21.44 (~E(x48021,f9(a57,f9(f61(a1),f31(f31(f8(f61(a1)),f9(a58,f2(f61(a1)),f2(a58))),f2(f61(a1))),x48021),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[3716])).
% 21.60/21.44 cnf(4830,plain,
% 21.60/21.44 (~P8(a58,f9(a58,f31(f31(f8(a58),f3(a58)),f3(a58)),f2(a58)),f2(a58))),
% 21.60/21.44 inference(scs_inference,[],[224,228,246,250,254,258,277,290,308,314,338,345,379,389,392,395,396,402,427,431,475,464,486,266,275,492,437,4507,4513,4619,4650,4652,4654,4681,4685,438,4030,474,445,4451,447,504,4094,264,441,4070,4076,4083,4337,4355,4381,4442,4454,442,4012,4169,4173,4180,4302,4377,4398,4567,4570,4701,4727,443,4053,4067,4079,4087,4311,4437,444,524,4082,4141,256,299,387,391,452,4072,4075,4306,453,527,481,477,4380,478,537,538,470,466,4024,539,4392,454,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,4267,4358,4372,4416,4493,4658,4744,4749,4748,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,4204,4303,4314,4340,4351,4397,4456,4486,4553,4682,4686,4692,4695,4723,510,4179,4207,476,535,490,3980,3983,4172,4183,4187,4214,4343,4375,4448,4498,4552,4588,270,274,263,480,260,276,298,332,333,334,413,419,479,4147,4566,4700,236,235,281,305,376,377,410,436,273,405,232,280,306,343,450,269,296,347,262,231,297,373,493,4037,411,374,272,234,303,295,375,414,536,4027,459,460,230,302,344,418,255,253,233,346,521,3467,3473,3370,1943,2190,3828,1963,1951,1941,3312,2112,2801,3436,3265,3496,2658,2795,2063,2002,2282,1878,4150,2184,3338,4490,1872,4063,1959,4064,4460,4508,1820,4071,2065,4646,4689,3850,3716,1881,1961,2204,3434,2173,3469,3842,3846,3754,2192,3226,4021,1955,2355,3697,2513,2059,3586,3618,3892,3234,3259,3002,3808,2306,2981,4015,2128,2715,2255,3874,1814,4056,4134,1939,4518,4521,2046,2363,2894,1969,3490,3612,2009,3334,3452,3614,2198,4138,3426,3905,2713,1857,2259,3786,2765,4011,4100,1822,4670,3930,3526,3253,2088,2737,2739,2393,2395,2415,2419,2459,2465,2477,2499,2501,2851,3838,3922,3924,3932,3608,3818,2320,3562,2563,2757,4097,2771,2104,3866,3572,2523,3864,3672,3233,3357,2791,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087,1085,1083,1037,928,1377,1234,1058,823,822,754,703,695,626,1248,1247,705,1802,1312,893,865,826,825,750,1636,1593,1104,863,868,1739,1626,1506,1810,1388,1807,845,1585,1721,1485,1392,666,734,1222,1609,1544,1550,1408,1227,1769,1632,1546,1730,1638,1567,1558,1478,1473,1457,1438,1437,1436,1434,1680,1679,1294,1650,1212,1775,1709,1625,1702,1699,658,654,1149,1000,1508,784,1206,684,1010,1464,1216,644,1524,1496,915,923,1067,1032,866,713,774,1800,912,1552,1407,1633,1681,1668,1456,793,1649,1288,805,744,752,889,1298,879,1589,1402,989,1395,1204,1147,993,1221,1034,609,1688,1670,1278,1384,806,1299,1171,1170,1155,1598,1070,813,1539,1231,1230,910,803,653,986,897,1350,1201,1219,1390,1091,812,1386,1197,1195,1540,1303,1604,1602,1600,1427,904,1410,700,1133,1054,1556,1092,884,836,661,1588,1130,804,1313,831,1606,1766,1358,1307,942,649,930,31,1411,1140,1359,1264,796,719,217,194,193,150,139,3,963,785,1191,1190,1118,1791,1371,1186,1142,1141,950,817,816,1243,1199,1311,1310,1144,969,968,920,891,1711,1254,1252,998,997,647,645,643,1622,1526,1389,917,771,766,1038,965,1415,1414,1122,636,634,1378,1033,1028,898,881,797,724,723,704,1376,1372,1342,824,799,1728,973,814,1592,852,786,773,1677,1162,1738,1536,1535,1514,1627,1693,1691,1722])).
% 21.60/21.44 cnf(4831,plain,
% 21.60/21.44 (P7(a58,x48311,x48311)),
% 21.60/21.44 inference(rename_variables,[],[443])).
% 21.60/21.44 cnf(4834,plain,
% 21.60/21.44 (P8(a57,x48341,f9(a57,f9(a57,x48342,x48341),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4835,plain,
% 21.60/21.44 (P8(a57,x48351,f9(a57,f9(a57,x48352,x48351),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4836,plain,
% 21.60/21.44 (P7(a60,x48361,x48361)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(4873,plain,
% 21.60/21.44 (~P8(a60,f9(a60,f30(a57,f28(x48731)),f3(a60)),x48731)),
% 21.60/21.44 inference(rename_variables,[],[3253])).
% 21.60/21.44 cnf(4876,plain,
% 21.60/21.44 (~P8(a58,x48761,x48761)),
% 21.60/21.44 inference(rename_variables,[],[1939])).
% 21.60/21.44 cnf(4879,plain,
% 21.60/21.44 (~P8(a58,x48791,x48791)),
% 21.60/21.44 inference(rename_variables,[],[1939])).
% 21.60/21.44 cnf(4882,plain,
% 21.60/21.44 (E(f28(f30(a57,x48821)),x48821)),
% 21.60/21.44 inference(rename_variables,[],[435])).
% 21.60/21.44 cnf(4889,plain,
% 21.60/21.44 (P8(a57,x48891,f9(a57,f9(a57,x48892,x48891),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4891,plain,
% 21.60/21.44 (P7(a60,f2(a60),f30(a57,x48911))),
% 21.60/21.44 inference(rename_variables,[],[465])).
% 21.60/21.44 cnf(4894,plain,
% 21.60/21.44 (P7(a58,x48941,x48941)),
% 21.60/21.44 inference(rename_variables,[],[443])).
% 21.60/21.44 cnf(4897,plain,
% 21.60/21.44 (~E(f9(a57,x48971,f9(a57,f2(a57),f3(a57))),x48971)),
% 21.60/21.44 inference(rename_variables,[],[1878])).
% 21.60/21.44 cnf(4898,plain,
% 21.60/21.44 (~P8(a57,x48981,x48981)),
% 21.60/21.44 inference(rename_variables,[],[524])).
% 21.60/21.44 cnf(4901,plain,
% 21.60/21.44 (E(f9(a57,x49011,f2(a57)),x49011)),
% 21.60/21.44 inference(rename_variables,[],[454])).
% 21.60/21.44 cnf(4902,plain,
% 21.60/21.44 (E(f28(f30(a57,x49021)),x49021)),
% 21.60/21.44 inference(rename_variables,[],[435])).
% 21.60/21.44 cnf(4905,plain,
% 21.60/21.44 (E(f9(a57,x49051,f2(a57)),x49051)),
% 21.60/21.44 inference(rename_variables,[],[454])).
% 21.60/21.44 cnf(4906,plain,
% 21.60/21.44 (E(f28(f30(a57,x49061)),x49061)),
% 21.60/21.44 inference(rename_variables,[],[435])).
% 21.60/21.44 cnf(4909,plain,
% 21.60/21.44 (E(f10(f30(a57,x49091)),x49091)),
% 21.60/21.44 inference(rename_variables,[],[434])).
% 21.60/21.44 cnf(4917,plain,
% 21.60/21.44 (P8(a57,x49171,f9(a57,f9(a57,x49172,x49171),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(4918,plain,
% 21.60/21.44 (P7(a57,x49181,x49181)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4921,plain,
% 21.60/21.44 (P8(a57,x49211,f9(a57,f9(a57,x49211,x49212),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[510])).
% 21.60/21.44 cnf(4922,plain,
% 21.60/21.44 (P7(a57,x49221,x49221)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(4926,plain,
% 21.60/21.44 (~E(f9(a57,x49261,f3(a57)),x49261)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(4931,plain,
% 21.60/21.44 (~P8(a57,x49311,x49311)),
% 21.60/21.44 inference(rename_variables,[],[524])).
% 21.60/21.44 cnf(4956,plain,
% 21.60/21.44 (~P8(a57,x49561,x49561)),
% 21.60/21.44 inference(rename_variables,[],[524])).
% 21.60/21.44 cnf(4959,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x49591,x49592),f3(a57)),x49592)),
% 21.60/21.44 inference(rename_variables,[],[1881])).
% 21.60/21.44 cnf(4960,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x49601,x49602),f3(a57)),x49601)),
% 21.60/21.44 inference(rename_variables,[],[1961])).
% 21.60/21.44 cnf(4965,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x49651,x49652),f3(a57)),x49652)),
% 21.60/21.44 inference(rename_variables,[],[1881])).
% 21.60/21.44 cnf(4966,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x49661,x49662),f3(a57)),x49661)),
% 21.60/21.44 inference(rename_variables,[],[1961])).
% 21.60/21.44 cnf(4975,plain,
% 21.60/21.44 (P8(a57,x49751,f9(a57,f9(a57,x49752,x49751),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5003,plain,
% 21.60/21.44 (~P8(a58,x50031,x50031)),
% 21.60/21.44 inference(rename_variables,[],[1939])).
% 21.60/21.44 cnf(5009,plain,
% 21.60/21.44 (P7(a60,x50091,f30(a57,f10(x50091)))),
% 21.60/21.44 inference(rename_variables,[],[466])).
% 21.60/21.44 cnf(5010,plain,
% 21.60/21.44 (P7(a60,x50101,x50101)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(5013,plain,
% 21.60/21.44 (P7(a57,x50131,f9(a57,x50132,x50131))),
% 21.60/21.44 inference(rename_variables,[],[477])).
% 21.60/21.44 cnf(5014,plain,
% 21.60/21.44 (P7(a57,x50141,x50141)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(5017,plain,
% 21.60/21.44 (P7(a60,x50171,x50171)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(5020,plain,
% 21.60/21.44 (P7(a60,x50201,f30(a57,f10(x50201)))),
% 21.60/21.44 inference(rename_variables,[],[466])).
% 21.60/21.44 cnf(5021,plain,
% 21.60/21.44 (P7(a60,x50211,x50211)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(5030,plain,
% 21.60/21.44 (P7(a57,x50301,x50301)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(5031,plain,
% 21.60/21.44 (P8(a57,x50311,f9(a57,f9(a57,x50312,x50311),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5032,plain,
% 21.60/21.44 (P8(a57,x50321,f9(a57,f9(a57,x50322,x50321),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5033,plain,
% 21.60/21.44 (P7(a57,f2(a57),x50331)),
% 21.60/21.44 inference(rename_variables,[],[452])).
% 21.60/21.44 cnf(5046,plain,
% 21.60/21.44 (~P8(a57,x50461,x50461)),
% 21.60/21.44 inference(rename_variables,[],[524])).
% 21.60/21.44 cnf(5051,plain,
% 21.60/21.44 (P7(a60,x50511,x50511)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(5054,plain,
% 21.60/21.44 (~E(f9(a57,x50541,f3(a57)),x50541)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(5067,plain,
% 21.60/21.44 (P8(a57,x50671,f9(a57,f9(a57,x50672,x50671),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5073,plain,
% 21.60/21.44 (P7(a60,x50731,f30(a57,f10(x50731)))),
% 21.60/21.44 inference(rename_variables,[],[466])).
% 21.60/21.44 cnf(5098,plain,
% 21.60/21.44 (~P8(a60,f30(a57,x50981),f2(a60))),
% 21.60/21.44 inference(rename_variables,[],[536])).
% 21.60/21.44 cnf(5103,plain,
% 21.60/21.44 (P8(a57,x51031,f9(a57,f9(a57,x51031,x51032),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[510])).
% 21.60/21.44 cnf(5104,plain,
% 21.60/21.44 (P7(a60,x51041,x51041)),
% 21.60/21.44 inference(rename_variables,[],[442])).
% 21.60/21.44 cnf(5118,plain,
% 21.60/21.44 (E(x51181,f10(f30(a57,x51181)))),
% 21.60/21.44 inference(scs_inference,[],[224,226,228,244,246,250,254,258,261,277,290,308,314,329,338,345,379,389,392,395,396,402,427,431,475,464,495,486,440,491,266,275,492,437,4507,4513,4619,4650,4652,4654,4681,4685,438,4030,474,445,4451,447,504,4094,264,441,4070,4076,4083,4337,4355,4381,4442,4454,4918,4922,5014,5030,4354,442,4012,4169,4173,4180,4302,4377,4398,4567,4570,4701,4727,4836,5010,5017,5021,5051,443,4053,4067,4079,4087,4311,4437,4831,4894,444,524,4082,4141,4898,4931,4956,5046,256,299,311,313,318,320,331,335,361,363,387,391,393,416,452,4072,4075,4306,4443,453,527,481,477,4380,4459,5013,478,537,4585,538,4676,470,434,4909,435,4882,4902,466,4024,4376,5009,5020,539,4392,454,4361,4901,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,4267,4358,4372,4416,4493,4658,4744,4749,4926,5054,4748,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,4204,4303,4314,4340,4351,4397,4456,4486,4553,4682,4686,4692,4695,4723,5031,5067,4455,4834,4889,4917,4975,5032,4350,4835,510,4179,4207,4726,4921,5103,476,535,490,3980,3983,4172,4183,4187,4214,4343,4375,4448,4498,4552,4588,270,274,263,480,4667,260,276,288,298,330,332,333,334,413,419,465,4891,479,4147,4566,4700,236,235,281,305,376,377,410,417,436,273,405,232,280,304,306,343,450,269,296,347,262,231,297,373,493,4037,411,374,272,234,303,295,375,414,536,4027,459,460,230,302,344,418,255,253,233,346,521,3467,3473,3370,1943,2190,3828,1963,1951,1941,3312,2112,2801,3436,3265,3496,2658,2795,3230,2063,2002,2282,1878,4150,4897,2184,2948,2950,3338,4490,1872,4063,1959,4064,4460,4508,3903,1820,4071,2065,4646,4689,2520,3850,3716,1881,4708,4959,1961,4709,4960,2960,2204,3434,2173,3469,3842,3846,3754,2192,2518,3226,4021,1955,2355,3697,2513,2347,2059,2125,3734,3586,3618,2277,3892,3234,3259,3002,3808,2306,2981,4015,3631,2128,2715,2255,3874,1814,4056,4134,1939,4518,4521,4626,4876,4879,5003,2046,2363,2894,1969,3782,3490,3612,2009,3740,3334,3452,2531,3614,2198,4138,3426,1901,1904,3905,2713,3576,1857,2082,2259,2249,3786,2765,4011,4100,1822,4670,3930,3526,3253,4635,2088,3396,2737,2739,2393,2395,2405,2415,2419,2425,2449,2453,2459,2465,2477,2499,2501,2851,3838,3922,3924,3932,3608,3818,2320,3562,3844,2563,2757,4097,2771,4050,3271,2104,3866,3572,2523,3864,3672,3233,3357,2791,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087,1085,1083,1037,928,1377,1234,1058,823,822,754,703,695,626,1248,1247,705,1802,1312,893,865,826,825,750,1636,1593,1104,863,868,1739,1626,1506,1810,1388,1807,845,1585,1721,1485,1392,666,734,1222,1609,1544,1550,1408,1227,1769,1632,1546,1730,1638,1567,1558,1478,1473,1457,1438,1437,1436,1434,1680,1679,1294,1650,1212,1775,1709,1625,1702,1699,658,654,1149,1000,1508,784,1206,684,1010,1464,1216,644,1524,1496,915,923,1067,1032,866,713,774,1800,912,1552,1407,1633,1681,1668,1456,793,1649,1288,805,744,752,889,1298,879,1589,1402,989,1395,1204,1147,993,1221,1034,609,1688,1670,1278,1384,806,1299,1171,1170,1155,1598,1070,813,1539,1231,1230,910,803,653,986,897,1350,1201,1219,1390,1091,812,1386,1197,1195,1540,1303,1604,1602,1600,1427,904,1410,700,1133,1054,1556,1092,884,836,661,1588,1130,804,1313,831,1606,1766,1358,1307,942,649,930,31,1411,1140,1359,1264,796,719,217,194,193,150,139,3,963,785,1191,1190,1118,1791,1371,1186,1142,1141,950,817,816,1243,1199,1311,1310,1144,969,968,920,891,1711,1254,1252,998,997,647,645,643,1622,1526,1389,917,771,766,1038,965,1415,1414,1122,636,634,1378,1033,1028,898,881,797,724,723,704,1376,1372,1342,824,799,1728,973,814,1592,852,786,773,1677,1162,1738,1536,1535,1514,1627,1693,1691,1722,1450,1394,749,1790,1676,1637,1595,1594,1568,1559,1273,1475,1472,1471,1462,1435,1432,1071,1648,1647,1745,1692,1756,1583,1577,1795,1782,1781,1780,855,854,1704,1701,787,875,892,1318,1314,1300,1151,967,748,948,152,140,990,887,1237,1449,1145,1291,1146,1483,1619,1618,1616,1292,1658,795,604,1049,1220,753,612,792,827,751,1554,1519,1518,1445,1443,1441,1440,1385,1289,1703,876,743,1391,1320,732,143,1324,1694,995,992,1120,1607,610,1689,1416,1663,1406,1555,1767,949,1167,1153,941,1509,1397,151,985,981,886,677,1205,1304,873,1401,979,142,952])).
% 21.60/21.44 cnf(5126,plain,
% 21.60/21.44 (P8(a57,x51261,f9(a57,f9(a57,x51262,x51261),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5129,plain,
% 21.60/21.44 (P8(a57,x51291,f9(a57,f9(a57,x51292,x51291),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5132,plain,
% 21.60/21.44 (P8(a57,x51321,f9(a57,f9(a57,x51322,x51321),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5137,plain,
% 21.60/21.44 (P8(a60,x51371,f9(a60,f30(a57,f28(x51371)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(5153,plain,
% 21.60/21.44 (~P7(a57,f9(a57,x51531,f3(a57)),x51531)),
% 21.60/21.44 inference(rename_variables,[],[539])).
% 21.60/21.44 cnf(5165,plain,
% 21.60/21.44 (E(f9(a57,x51651,x51652),f9(a57,x51652,x51651))),
% 21.60/21.44 inference(rename_variables,[],[470])).
% 21.60/21.44 cnf(5167,plain,
% 21.60/21.44 (E(f9(a57,x51671,x51672),f9(a57,x51672,x51671))),
% 21.60/21.44 inference(rename_variables,[],[470])).
% 21.60/21.44 cnf(5169,plain,
% 21.60/21.44 (E(f9(a57,x51691,x51692),f9(a57,x51692,x51691))),
% 21.60/21.44 inference(rename_variables,[],[470])).
% 21.60/21.44 cnf(5171,plain,
% 21.60/21.44 (E(f9(a57,x51711,x51712),f9(a57,x51712,x51711))),
% 21.60/21.44 inference(rename_variables,[],[470])).
% 21.60/21.44 cnf(5178,plain,
% 21.60/21.44 (E(f31(f31(f8(a57),x51781),f3(a57)),x51781)),
% 21.60/21.44 inference(rename_variables,[],[437])).
% 21.60/21.44 cnf(5180,plain,
% 21.60/21.44 (~E(x51801,f9(a57,f9(f61(a1),f31(f31(f8(f61(a1)),f9(a58,f2(f61(a1)),f2(a58))),f2(f61(a1))),x51801),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[3716])).
% 21.60/21.44 cnf(5184,plain,
% 21.60/21.44 (~E(a58,x51841)+P6(x51841)),
% 21.60/21.44 inference(scs_inference,[],[224,226,228,244,246,250,254,258,261,277,290,308,314,329,338,345,379,380,389,392,395,396,402,427,431,475,464,495,486,440,491,266,275,492,437,4507,4513,4619,4650,4652,4654,4681,4685,438,4030,474,445,4451,447,504,4094,264,441,4070,4076,4083,4337,4355,4381,4442,4454,4918,4922,5014,5030,4354,442,4012,4169,4173,4180,4302,4377,4398,4567,4570,4701,4727,4836,5010,5017,5021,5051,5104,443,4053,4067,4079,4087,4311,4437,4831,4894,444,524,4082,4141,4898,4931,4956,5046,256,299,311,313,318,320,331,335,361,363,387,391,393,416,452,4072,4075,4306,4443,453,527,481,477,4380,4459,5013,478,537,4585,538,4676,470,4659,5165,5167,5169,5171,434,4909,435,4882,4902,4906,466,4024,4376,5009,5020,539,4392,454,4361,4901,4905,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,4267,4358,4372,4416,4493,4658,4744,4749,4926,5054,4748,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,4204,4303,4314,4340,4351,4397,4456,4486,4553,4682,4686,4692,4695,4723,5031,5067,5126,5129,5132,4455,4834,4889,4917,4975,5032,4350,4835,510,4179,4207,4726,4921,5103,476,535,490,3980,3983,4172,4183,4187,4214,4343,4375,4448,4498,4552,4588,5137,270,274,263,480,4667,260,276,288,298,330,332,333,334,413,419,420,465,4891,479,4147,4566,4700,236,235,281,305,376,377,410,417,436,273,259,405,232,280,304,306,343,450,269,540,296,347,262,231,297,373,493,4037,411,374,272,234,303,295,375,414,536,4027,459,460,230,302,344,418,255,253,233,346,521,3467,3473,3370,1943,2190,3828,1963,1951,1941,3312,2112,2801,3436,3265,3496,2658,2795,3301,3230,2063,2002,2282,1878,4150,4897,2184,2948,2950,3338,4490,1872,4063,1959,4064,4460,4508,3903,1820,4071,2065,4646,4689,2520,3850,3716,4802,1881,4708,4959,1961,4709,4960,2960,2204,3434,2173,3244,3469,3842,3846,3754,2192,2518,3226,4021,1955,2355,3697,2513,2347,2059,2125,3734,3586,3618,2277,3892,1921,1923,2833,3234,3259,3002,3808,2306,4656,2981,4015,3631,2128,2715,3238,2255,3874,1814,4056,4134,1939,4518,4521,4626,4876,4879,5003,2046,2363,2894,1969,3782,3490,3612,2009,3740,3334,3452,2531,3614,2198,4138,3426,1901,1904,3905,2713,3239,3576,1857,2082,2268,2259,2249,3786,2765,4011,4100,1822,4670,3930,3526,3253,4635,2753,2088,3396,2737,2739,2393,2395,2405,2415,2419,2425,2449,2453,2459,2465,2477,2499,2501,2851,3838,3922,3924,3932,3608,3818,2320,3562,3844,2563,2757,4097,2771,4050,3271,2104,3866,3572,2523,3864,3672,3233,3357,2791,2084,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087,1085,1083,1037,928,1377,1234,1058,823,822,754,703,695,626,1248,1247,705,1802,1312,893,865,826,825,750,1636,1593,1104,863,868,1739,1626,1506,1810,1388,1807,845,1585,1721,1485,1392,666,734,1222,1609,1544,1550,1408,1227,1769,1632,1546,1730,1638,1567,1558,1478,1473,1457,1438,1437,1436,1434,1680,1679,1294,1650,1212,1775,1709,1625,1702,1699,658,654,1149,1000,1508,784,1206,684,1010,1464,1216,644,1524,1496,915,923,1067,1032,866,713,774,1800,912,1552,1407,1633,1681,1668,1456,793,1649,1288,805,744,752,889,1298,879,1589,1402,989,1395,1204,1147,993,1221,1034,609,1688,1670,1278,1384,806,1299,1171,1170,1155,1598,1070,813,1539,1231,1230,910,803,653,986,897,1350,1201,1219,1390,1091,812,1386,1197,1195,1540,1303,1604,1602,1600,1427,904,1410,700,1133,1054,1556,1092,884,836,661,1588,1130,804,1313,831,1606,1766,1358,1307,942,649,930,31,1411,1140,1359,1264,796,719,217,194,193,150,139,3,963,785,1191,1190,1118,1791,1371,1186,1142,1141,950,817,816,1243,1199,1311,1310,1144,969,968,920,891,1711,1254,1252,998,997,647,645,643,1622,1526,1389,917,771,766,1038,965,1415,1414,1122,636,634,1378,1033,1028,898,881,797,724,723,704,1376,1372,1342,824,799,1728,973,814,1592,852,786,773,1677,1162,1738,1536,1535,1514,1627,1693,1691,1722,1450,1394,749,1790,1676,1637,1595,1594,1568,1559,1273,1475,1472,1471,1462,1435,1432,1071,1648,1647,1745,1692,1756,1583,1577,1795,1782,1781,1780,855,854,1704,1701,787,875,892,1318,1314,1300,1151,967,748,948,152,140,990,887,1237,1449,1145,1291,1146,1483,1619,1618,1616,1292,1658,795,604,1049,1220,753,612,792,827,751,1554,1519,1518,1445,1443,1441,1440,1385,1289,1703,876,743,1391,1320,732,143,1324,1694,995,992,1120,1607,610,1689,1416,1663,1406,1555,1767,949,1167,1153,941,1509,1397,151,985,981,886,677,1205,1304,873,1401,979,142,952,675,1348,1203,1202,1198,1429,1426,1081,767,1398,1409,1553,1069,1428,2,20,216,173,169,167,164,145,141,138,137,136,14,147,146,13,663,218])).
% 21.60/21.44 cnf(5217,plain,
% 21.60/21.44 (P48(f10(f30(a57,a57)))),
% 21.60/21.44 inference(scs_inference,[],[224,226,228,238,244,246,250,254,258,261,277,284,290,292,307,308,314,322,326,329,338,345,357,365,379,380,389,392,395,396,402,422,427,431,475,464,495,486,440,491,242,266,275,492,437,4507,4513,4619,4650,4652,4654,4681,4685,438,4030,474,445,4451,447,504,4094,264,441,4070,4076,4083,4337,4355,4381,4442,4454,4918,4922,5014,5030,4354,442,4012,4169,4173,4180,4302,4377,4398,4567,4570,4701,4727,4836,5010,5017,5021,5051,5104,443,4053,4067,4079,4087,4311,4437,4831,4894,444,524,4082,4141,4898,4931,4956,5046,256,299,311,313,318,320,331,335,340,361,363,387,391,393,416,452,4072,4075,4306,4443,453,527,481,477,4380,4459,5013,478,537,4585,538,4676,470,4659,5165,5167,5169,5171,434,4909,435,4882,4902,4906,466,4024,4376,5009,5020,539,4392,454,4361,4901,4905,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,4267,4358,4372,4416,4493,4658,4744,4749,4926,5054,4748,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,4204,4303,4314,4340,4351,4397,4456,4486,4553,4682,4686,4692,4695,4723,5031,5067,5126,5129,5132,4455,4834,4889,4917,4975,5032,4350,4835,510,4179,4207,4726,4921,5103,476,535,490,3980,3983,4172,4183,4187,4214,4343,4375,4448,4498,4552,4588,5137,270,274,263,480,4667,260,276,288,298,330,332,333,334,353,413,419,420,465,4891,479,4147,4566,4700,236,265,235,281,305,376,377,410,417,436,273,259,405,232,280,304,306,343,450,269,540,296,347,268,262,231,297,373,493,4037,411,374,272,234,303,295,375,414,536,4027,459,460,230,302,344,418,255,253,233,346,521,3467,3473,3370,1943,2190,3828,1963,1951,1941,3312,2112,2801,3436,3265,3496,2658,2795,3301,3230,2063,2002,2282,1878,4150,4897,2184,2948,2950,3338,4490,1872,4063,1959,4064,4460,4508,3903,1820,4071,2065,4646,4689,2520,3850,3716,4802,1881,4708,4959,1961,4709,4960,2960,2204,3434,2173,3244,3469,3842,3846,3754,2192,2518,3226,4021,1955,2355,3697,2513,2347,2059,2125,3734,3586,3618,2277,3892,1921,1923,2833,3234,3259,3002,3808,2306,4656,2981,4015,3631,2128,2715,3238,2255,3874,1814,4056,4134,1939,4518,4521,4626,4876,4879,5003,2046,2363,2894,1969,3782,3490,3612,2009,3740,3334,3452,2531,3614,2198,4138,3426,1901,1904,3905,2713,3239,3576,1857,2082,2268,2259,2249,3786,2765,4011,4100,1822,4670,3930,3526,3253,4635,2753,2088,3396,2737,2739,2393,2395,2405,2415,2419,2425,2449,2453,2459,2465,2477,2499,2501,2851,3838,3922,3924,3932,3608,3818,2320,3562,3844,2563,2757,4097,2771,4050,3271,2104,3866,3572,2523,3864,3672,3233,3357,2791,2084,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087,1085,1083,1037,928,1377,1234,1058,823,822,754,703,695,626,1248,1247,705,1802,1312,893,865,826,825,750,1636,1593,1104,863,868,1739,1626,1506,1810,1388,1807,845,1585,1721,1485,1392,666,734,1222,1609,1544,1550,1408,1227,1769,1632,1546,1730,1638,1567,1558,1478,1473,1457,1438,1437,1436,1434,1680,1679,1294,1650,1212,1775,1709,1625,1702,1699,658,654,1149,1000,1508,784,1206,684,1010,1464,1216,644,1524,1496,915,923,1067,1032,866,713,774,1800,912,1552,1407,1633,1681,1668,1456,793,1649,1288,805,744,752,889,1298,879,1589,1402,989,1395,1204,1147,993,1221,1034,609,1688,1670,1278,1384,806,1299,1171,1170,1155,1598,1070,813,1539,1231,1230,910,803,653,986,897,1350,1201,1219,1390,1091,812,1386,1197,1195,1540,1303,1604,1602,1600,1427,904,1410,700,1133,1054,1556,1092,884,836,661,1588,1130,804,1313,831,1606,1766,1358,1307,942,649,930,31,1411,1140,1359,1264,796,719,217,194,193,150,139,3,963,785,1191,1190,1118,1791,1371,1186,1142,1141,950,817,816,1243,1199,1311,1310,1144,969,968,920,891,1711,1254,1252,998,997,647,645,643,1622,1526,1389,917,771,766,1038,965,1415,1414,1122,636,634,1378,1033,1028,898,881,797,724,723,704,1376,1372,1342,824,799,1728,973,814,1592,852,786,773,1677,1162,1738,1536,1535,1514,1627,1693,1691,1722,1450,1394,749,1790,1676,1637,1595,1594,1568,1559,1273,1475,1472,1471,1462,1435,1432,1071,1648,1647,1745,1692,1756,1583,1577,1795,1782,1781,1780,855,854,1704,1701,787,875,892,1318,1314,1300,1151,967,748,948,152,140,990,887,1237,1449,1145,1291,1146,1483,1619,1618,1616,1292,1658,795,604,1049,1220,753,612,792,827,751,1554,1519,1518,1445,1443,1441,1440,1385,1289,1703,876,743,1391,1320,732,143,1324,1694,995,992,1120,1607,610,1689,1416,1663,1406,1555,1767,949,1167,1153,941,1509,1397,151,985,981,886,677,1205,1304,873,1401,979,142,952,675,1348,1203,1202,1198,1429,1426,1081,767,1398,1409,1553,1069,1428,2,20,216,173,169,167,164,145,141,138,137,136,14,147,146,13,663,218,215,211,209,208,207,205,204,203,202,201,197,196,192,191,190,189,188,187,186,183,180,179,177,176,175,171,170,166,165,163,162,158,154])).
% 21.60/21.44 cnf(5223,plain,
% 21.60/21.44 (P8(a57,x52231,f9(a57,f9(a57,x52232,x52231),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5230,plain,
% 21.60/21.44 (~E(f9(a57,x52301,f3(a57)),f2(a57))),
% 21.60/21.44 inference(rename_variables,[],[535])).
% 21.60/21.44 cnf(5231,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x52311,x52312),f3(a57)),x52312)),
% 21.60/21.44 inference(rename_variables,[],[1881])).
% 21.60/21.44 cnf(5235,plain,
% 21.60/21.44 (P8(a60,x52351,f9(a60,f30(a57,f28(x52351)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(5242,plain,
% 21.60/21.44 (P8(a60,x52421,f9(a60,f30(a57,f28(x52421)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(5248,plain,
% 21.60/21.44 (~E(f9(a57,f9(a57,x52481,x52482),f3(a57)),x52482)),
% 21.60/21.44 inference(rename_variables,[],[1881])).
% 21.60/21.44 cnf(5251,plain,
% 21.60/21.44 (P7(a57,x52511,x52511)),
% 21.60/21.44 inference(rename_variables,[],[441])).
% 21.60/21.44 cnf(5252,plain,
% 21.60/21.44 (~E(x52521,f9(a57,f9(f61(a1),f31(f31(f8(f61(a1)),f9(a58,f2(f61(a1)),f2(a58))),f2(f61(a1))),x52521),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[3716])).
% 21.60/21.44 cnf(5253,plain,
% 21.60/21.44 (P8(a57,x52531,f9(a57,f9(a57,x52532,x52531),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5254,plain,
% 21.60/21.44 (P7(a57,f2(a57),x52541)),
% 21.60/21.44 inference(rename_variables,[],[452])).
% 21.60/21.44 cnf(5265,plain,
% 21.60/21.44 (P8(a60,x52651,f9(a60,f30(a57,f28(x52651)),f3(a60)))),
% 21.60/21.44 inference(rename_variables,[],[490])).
% 21.60/21.44 cnf(5289,plain,
% 21.60/21.44 (P8(a57,x52891,f9(a57,f9(a57,x52892,x52891),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5307,plain,
% 21.60/21.44 (~E(f9(a57,x53071,f9(a57,f2(a57),f3(a57))),x53071)),
% 21.60/21.44 inference(rename_variables,[],[1878])).
% 21.60/21.44 cnf(5313,plain,
% 21.60/21.44 (P8(a60,f11(f9(a57,f9(a57,x53131,f2(a57)),f3(a57)),f7(a60,f9(a60,f30(a57,f28(f7(a60,f7(a60,f2(a60))))),f3(a60)))),f2(a60))),
% 21.60/21.44 inference(scs_inference,[],[224,226,228,238,244,246,250,254,258,261,277,284,290,292,307,308,314,322,326,329,338,345,357,365,379,380,389,392,395,396,402,422,427,431,475,464,495,486,440,491,242,266,275,492,437,4507,4513,4619,4650,4652,4654,4681,4685,5178,438,4030,474,445,4451,447,504,4094,264,441,4070,4076,4083,4337,4355,4381,4442,4454,4918,4922,5014,5030,5251,4354,442,4012,4169,4173,4180,4302,4377,4398,4567,4570,4701,4727,4836,5010,5017,5021,5051,5104,443,4053,4067,4079,4087,4311,4437,4831,4894,444,524,4082,4141,4898,4931,4956,5046,256,299,311,313,318,320,331,335,340,361,363,387,391,393,416,452,4072,4075,4306,4443,5033,5254,453,527,481,477,4380,4459,5013,478,537,4585,538,4676,470,4659,5165,5167,5169,5171,434,4909,435,4882,4902,4906,466,4024,4376,5009,5020,5073,539,4392,5153,454,4361,4901,4905,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,4267,4358,4372,4416,4493,4658,4744,4749,4926,5054,4748,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,4204,4303,4314,4340,4351,4397,4456,4486,4553,4682,4686,4692,4695,4723,5031,5067,5126,5129,5132,5223,5253,5289,4455,4834,4889,4917,4975,5032,4350,4835,510,4179,4207,4726,4921,5103,476,535,4489,5230,490,3980,3983,4172,4183,4187,4214,4343,4375,4448,4498,4552,4588,5137,5235,5242,270,274,263,480,4667,260,276,288,298,330,332,333,334,353,413,419,420,465,4891,479,4147,4566,4700,236,265,501,235,281,305,376,377,410,417,436,273,259,405,232,280,304,306,343,450,269,540,296,347,268,262,231,297,373,493,4037,411,374,272,234,303,295,375,414,536,4027,5098,459,460,230,302,344,418,255,253,233,346,521,3467,3473,3370,1943,2190,3828,1963,1951,1941,2578,3312,2112,2801,3436,3265,3496,2658,2795,3301,3230,2063,2002,2282,1878,4150,4897,5307,2184,2948,2950,3338,4490,1872,4063,1959,4064,4460,4508,3903,1820,4071,2065,4646,4689,2520,3850,3716,4802,5180,1881,4708,4959,4965,5231,5248,1961,4709,4960,4966,2960,2204,3434,2173,3244,3469,3842,3846,3754,2192,2518,3226,4021,1955,2355,3697,2513,2347,2059,2125,3734,3586,3618,2277,3892,1921,1923,2833,3234,3259,3002,3808,3299,2306,4656,2981,4015,3631,2128,2715,3238,2255,3874,1814,4056,4134,1939,4518,4521,4626,4876,4879,5003,2046,2363,2894,1969,3782,3490,3612,2009,3740,3334,3452,2531,3614,2198,4138,3426,1901,1904,3905,2713,3239,3576,1857,2082,2268,2259,2249,3786,2765,4011,4100,1822,4670,3930,3526,2316,3253,4635,4873,2753,2088,3396,2737,2739,2393,2395,2405,2415,2419,2425,2449,2453,2459,2465,2477,2499,2501,2851,3838,3922,3924,3932,3608,3818,2320,3562,3844,2563,2757,4097,2771,4050,3271,2104,3866,3318,3316,3572,2523,3864,3672,3233,3357,2791,2084,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087,1085,1083,1037,928,1377,1234,1058,823,822,754,703,695,626,1248,1247,705,1802,1312,893,865,826,825,750,1636,1593,1104,863,868,1739,1626,1506,1810,1388,1807,845,1585,1721,1485,1392,666,734,1222,1609,1544,1550,1408,1227,1769,1632,1546,1730,1638,1567,1558,1478,1473,1457,1438,1437,1436,1434,1680,1679,1294,1650,1212,1775,1709,1625,1702,1699,658,654,1149,1000,1508,784,1206,684,1010,1464,1216,644,1524,1496,915,923,1067,1032,866,713,774,1800,912,1552,1407,1633,1681,1668,1456,793,1649,1288,805,744,752,889,1298,879,1589,1402,989,1395,1204,1147,993,1221,1034,609,1688,1670,1278,1384,806,1299,1171,1170,1155,1598,1070,813,1539,1231,1230,910,803,653,986,897,1350,1201,1219,1390,1091,812,1386,1197,1195,1540,1303,1604,1602,1600,1427,904,1410,700,1133,1054,1556,1092,884,836,661,1588,1130,804,1313,831,1606,1766,1358,1307,942,649,930,31,1411,1140,1359,1264,796,719,217,194,193,150,139,3,963,785,1191,1190,1118,1791,1371,1186,1142,1141,950,817,816,1243,1199,1311,1310,1144,969,968,920,891,1711,1254,1252,998,997,647,645,643,1622,1526,1389,917,771,766,1038,965,1415,1414,1122,636,634,1378,1033,1028,898,881,797,724,723,704,1376,1372,1342,824,799,1728,973,814,1592,852,786,773,1677,1162,1738,1536,1535,1514,1627,1693,1691,1722,1450,1394,749,1790,1676,1637,1595,1594,1568,1559,1273,1475,1472,1471,1462,1435,1432,1071,1648,1647,1745,1692,1756,1583,1577,1795,1782,1781,1780,855,854,1704,1701,787,875,892,1318,1314,1300,1151,967,748,948,152,140,990,887,1237,1449,1145,1291,1146,1483,1619,1618,1616,1292,1658,795,604,1049,1220,753,612,792,827,751,1554,1519,1518,1445,1443,1441,1440,1385,1289,1703,876,743,1391,1320,732,143,1324,1694,995,992,1120,1607,610,1689,1416,1663,1406,1555,1767,949,1167,1153,941,1509,1397,151,985,981,886,677,1205,1304,873,1401,979,142,952,675,1348,1203,1202,1198,1429,1426,1081,767,1398,1409,1553,1069,1428,2,20,216,173,169,167,164,145,141,138,137,136,14,147,146,13,663,218,215,211,209,208,207,205,204,203,202,201,197,196,192,191,190,189,188,187,186,183,180,179,177,176,175,171,170,166,165,163,162,158,154,153,148,135,134,1238,1057,1097,1768,1356,1667,1666,1565,1557,1016,1581,1233,1194,1355,1286,1801,1327,856,1101,1100,1098,1112,1713,1244,1242,1309,629,1590,1482,1569,1640,1050,858,802,775,1207])).
% 21.60/21.44 cnf(5314,plain,
% 21.60/21.44 (P8(a57,x53141,f9(a57,f9(a57,x53142,x53141),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5320,plain,
% 21.60/21.44 (P8(a57,x53201,f9(a57,f9(a57,x53202,x53201),f3(a57)))),
% 21.60/21.44 inference(rename_variables,[],[509])).
% 21.60/21.44 cnf(5323,plain,
% 21.60/21.44 (~E(f9(a57,x53231,f3(a57)),x53231)),
% 21.60/21.44 inference(rename_variables,[],[529])).
% 21.60/21.44 cnf(5328,plain,
% 21.60/21.44 (P11(a60,f21(a60,f9(a60,f30(a57,f28(f2(a60))),f3(a60)),f31(f31(f8(a57),f2(f61(a60))),f3(a57))))),
% 21.60/21.45 inference(scs_inference,[],[224,226,228,238,244,246,250,254,258,261,277,284,290,292,307,308,314,322,326,329,338,345,357,365,379,380,389,392,395,396,402,422,427,431,475,464,495,486,440,491,242,266,275,492,437,4507,4513,4619,4650,4652,4654,4681,4685,5178,438,4030,474,445,4451,447,504,4094,264,441,4070,4076,4083,4337,4355,4381,4442,4454,4918,4922,5014,5030,5251,4354,442,4012,4169,4173,4180,4302,4377,4398,4567,4570,4701,4727,4836,5010,5017,5021,5051,5104,443,4053,4067,4079,4087,4311,4437,4831,4894,444,524,4082,4141,4898,4931,4956,5046,256,299,311,313,318,320,331,335,340,361,363,387,391,393,416,452,4072,4075,4306,4443,5033,5254,453,527,481,477,4380,4459,5013,478,537,4585,538,4676,470,4659,5165,5167,5169,5171,434,4909,435,4882,4902,4906,466,4024,4376,5009,5020,5073,539,4392,5153,454,4361,4901,4905,529,3986,3989,3992,4060,4084,4104,4107,4153,4157,4203,4267,4358,4372,4416,4493,4658,4744,4749,4926,5054,5323,4748,509,3972,3977,4116,4119,4144,4154,4158,4176,4184,4188,4200,4204,4303,4314,4340,4351,4397,4456,4486,4553,4682,4686,4692,4695,4723,5031,5067,5126,5129,5132,5223,5253,5289,5314,5320,4455,4834,4889,4917,4975,5032,4350,4835,510,4179,4207,4726,4921,5103,476,535,4489,5230,490,3980,3983,4172,4183,4187,4214,4343,4375,4448,4498,4552,4588,5137,5235,5242,5265,270,274,263,480,4667,260,276,288,298,330,332,333,334,353,413,419,420,465,4891,479,4147,4566,4700,236,265,501,235,281,305,376,377,410,417,436,273,259,405,232,280,304,306,343,450,269,540,296,347,268,262,231,297,373,493,4037,411,374,272,234,303,295,375,414,536,4027,5098,459,460,230,302,344,418,255,253,233,346,521,3467,3473,3370,1943,2190,3828,1963,1951,1824,1941,2578,3312,2112,2801,3436,3265,3496,2658,2795,3301,3230,2063,2002,2282,1878,4150,4897,5307,2184,2948,2950,3338,4490,1872,4063,1959,4064,4460,4508,3903,1820,4071,2065,4646,4689,2520,3850,3716,4802,5180,5252,1881,4708,4959,4965,5231,5248,1961,4709,4960,4966,2960,2204,3434,2173,3244,3469,3842,3846,3754,2192,2518,3226,4021,1955,2355,3697,2513,2347,2059,2125,3734,3586,3618,2277,3892,1921,1923,2833,3234,3259,3002,3808,3299,2306,4656,2981,4015,3631,2128,2715,3238,2255,3874,1814,4056,4134,1939,4518,4521,4626,4876,4879,5003,2046,2363,2894,1969,3782,3490,3612,2009,3740,3334,3452,2531,3614,2198,4138,3426,1901,1904,3905,2713,3239,3576,1857,2082,2268,2259,2249,3786,2765,4011,4100,1822,4670,3930,3526,2316,3253,4635,4873,2753,2088,3396,2737,2739,2393,2395,2405,2415,2419,2425,2449,2453,2459,2465,2477,2499,2501,2851,3838,3922,3924,3932,3608,3818,2320,3562,3844,2563,2757,4097,2771,4050,3271,2104,3866,3318,3316,3572,2523,3864,3672,3233,3357,2791,2084,3957,932,931,1520,1008,1361,1241,1159,1621,1488,1487,1341,1340,1339,1040,1209,1088,1046,1379,1066,1062,1059,1613,1465,1347,1135,1128,839,901,1665,1549,1733,1675,1674,1673,1672,1671,1474,1430,1218,1094,853,1773,1715,1651,1576,1281,1189,1423,1422,1127,1448,1447,1251,1249,918,1023,1424,1308,1257,742,861,790,1263,765,764,1362,1111,1382,1239,1208,1009,838,837,1181,1180,1018,1017,1226,1783,1710,1265,1255,1253,1541,1405,996,807,1727,1396,1343,1223,1413,1087,1085,1083,1037,928,1377,1234,1058,823,822,754,703,695,626,1248,1247,705,1802,1312,893,865,826,825,750,1636,1593,1104,863,868,1739,1626,1506,1810,1388,1807,845,1585,1721,1485,1392,666,734,1222,1609,1544,1550,1408,1227,1769,1632,1546,1730,1638,1567,1558,1478,1473,1457,1438,1437,1436,1434,1680,1679,1294,1650,1212,1775,1709,1625,1702,1699,658,654,1149,1000,1508,784,1206,684,1010,1464,1216,644,1524,1496,915,923,1067,1032,866,713,774,1800,912,1552,1407,1633,1681,1668,1456,793,1649,1288,805,744,752,889,1298,879,1589,1402,989,1395,1204,1147,993,1221,1034,609,1688,1670,1278,1384,806,1299,1171,1170,1155,1598,1070,813,1539,1231,1230,910,803,653,986,897,1350,1201,1219,1390,1091,812,1386,1197,1195,1540,1303,1604,1602,1600,1427,904,1410,700,1133,1054,1556,1092,884,836,661,1588,1130,804,1313,831,1606,1766,1358,1307,942,649,930,31,1411,1140,1359,1264,796,719,217,194,193,150,139,3,963,785,1191,1190,1118,1791,1371,1186,1142,1141,950,817,816,1243,1199,1311,1310,1144,969,968,920,891,1711,1254,1252,998,997,647,645,643,1622,1526,1389,917,771,766,1038,965,1415,1414,1122,636,634,1378,1033,1028,898,881,797,724,723,704,1376,1372,1342,824,799,1728,973,814,1592,852,786,773,1677,1162,1738,1536,1535,1514,1627,1693,1691,1722,1450,1394,749,1790,1676,1637,1595,1594,1568,1559,1273,1475,1472,1471,1462,1435,1432,1071,1648,1647,1745,1692,1756,1583,1577,1795,1782,1781,1780,855,854,1704,1701,787,875,892,1318,1314,1300,1151,967,748,948,152,140,990,887,1237,1449,1145,1291,1146,1483,1619,1618,1616,1292,1658,795,604,1049,1220,753,612,792,827,751,1554,1519,1518,1445,1443,1441,1440,1385,1289,1703,876,743,1391,1320,732,143,1324,1694,995,992,1120,1607,610,1689,1416,1663,1406,1555,1767,949,1167,1153,941,1509,1397,151,985,981,886,677,1205,1304,873,1401,979,142,952,675,1348,1203,1202,1198,1429,1426,1081,767,1398,1409,1553,1069,1428,2,20,216,173,169,167,164,145,141,138,137,136,14,147,146,13,663,218,215,211,209,208,207,205,204,203,202,201,197,196,192,191,190,189,188,187,186,183,180,179,177,176,175,171,170,166,165,163,162,158,154,153,148,135,134,1238,1057,1097,1768,1356,1667,1666,1565,1557,1016,1581,1233,1194,1355,1286,1801,1327,856,1101,1100,1098,1112,1713,1244,1242,1309,629,1590,1482,1569,1640,1050,858,802,775,1207,1076,1259,867,846,1160])).
% 21.60/21.45 cnf(5438,plain,
% 21.60/21.45 (E(x54381,f10(f30(a57,x54381)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5440,plain,
% 21.60/21.45 (E(x54401,f10(f30(a57,x54401)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5442,plain,
% 21.60/21.45 (E(x54421,f10(f30(a57,x54421)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5444,plain,
% 21.60/21.45 (E(x54441,f10(f30(a57,x54441)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5446,plain,
% 21.60/21.45 (E(x54461,f10(f30(a57,x54461)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5448,plain,
% 21.60/21.45 (E(x54481,f10(f30(a57,x54481)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5450,plain,
% 21.60/21.45 (E(x54501,f10(f30(a57,x54501)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5452,plain,
% 21.60/21.45 (E(x54521,f10(f30(a57,x54521)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5454,plain,
% 21.60/21.45 (E(x54541,f10(f30(a57,x54541)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5456,plain,
% 21.60/21.45 (E(x54561,f10(f30(a57,x54561)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5458,plain,
% 21.60/21.45 (E(x54581,f10(f30(a57,x54581)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5460,plain,
% 21.60/21.45 (E(x54601,f10(f30(a57,x54601)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5462,plain,
% 21.60/21.45 (E(x54621,f10(f30(a57,x54621)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5464,plain,
% 21.60/21.45 (E(x54641,f10(f30(a57,x54641)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5466,plain,
% 21.60/21.45 (E(x54661,f10(f30(a57,x54661)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5468,plain,
% 21.60/21.45 (E(x54681,f10(f30(a57,x54681)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5470,plain,
% 21.60/21.45 (E(x54701,f10(f30(a57,x54701)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5472,plain,
% 21.60/21.45 (E(x54721,f10(f30(a57,x54721)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5474,plain,
% 21.60/21.45 (E(x54741,f10(f30(a57,x54741)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5476,plain,
% 21.60/21.45 (E(x54761,f10(f30(a57,x54761)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5478,plain,
% 21.60/21.45 (E(x54781,f10(f30(a57,x54781)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5480,plain,
% 21.60/21.45 (E(x54801,f10(f30(a57,x54801)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5482,plain,
% 21.60/21.45 (E(x54821,f10(f30(a57,x54821)))),
% 21.60/21.45 inference(rename_variables,[],[5118])).
% 21.60/21.45 cnf(5486,plain,
% 21.60/21.45 (P7(a58,x54861,x54861)),
% 21.60/21.45 inference(rename_variables,[],[443])).
% 21.60/21.45 cnf(5520,plain,
% 21.60/21.45 ($false),
% 21.60/21.45 inference(scs_inference,[],[229,301,315,349,351,369,371,382,386,399,407,442,299,388,416,413,443,5486,332,254,405,410,411,231,417,296,414,303,460,253,521,4529,5118,5438,5440,5442,5444,5446,5448,5450,5452,5454,5456,5458,5460,5462,5464,5466,5468,5470,5472,5474,5476,5478,5480,5482,3062,5217,2956,2138,4520,2073,4213,5313,4830,5328,2801,5184,214,213,212,210,206,200,199,198,195,185,184,182,178,174,172,161,160,159,157,156,155,149,144,1586,1093,673,1267,1030,1029,1564,1563,1012,1232,606,1458,706,691,687,3957]),
% 21.60/21.45 ['proof']).
% 21.60/21.45 % SZS output end Proof
% 21.60/21.45 % Total time :20.180000s
%------------------------------------------------------------------------------