TSTP Solution File: SWW221+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW221+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:13:12 EDT 2023
% Result : Theorem 14.69s 14.70s
% Output : CNFRefutation 14.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW221+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 21:05:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 14.52/14.63 %-------------------------------------------
% 14.52/14.63 % File :CSE---1.6
% 14.52/14.63 % Problem :theBenchmark
% 14.52/14.63 % Transform :cnf
% 14.52/14.63 % Format :tptp:raw
% 14.52/14.63 % Command :java -jar mcs_scs.jar %d %s
% 14.52/14.63
% 14.52/14.63 % Result :Theorem 13.480000s
% 14.52/14.63 % Output :CNFRefutation 13.480000s
% 14.52/14.63 %-------------------------------------------
% 14.52/14.63 %------------------------------------------------------------------------------
% 14.52/14.63 % File : SWW221+1 : TPTP v8.1.2. Released v5.2.0.
% 14.52/14.63 % Domain : Software Verification
% 14.52/14.63 % Problem : Fundamental Theorem of Algebra 437286, 1000 axioms selected
% 14.52/14.63 % Version : Especial.
% 14.52/14.63 % English :
% 14.52/14.63
% 14.52/14.63 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 14.52/14.63 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 14.52/14.63 % Source : [Bla11]
% 14.52/14.63 % Names : fta_437286.1000.p [Bla11]
% 14.52/14.63
% 14.52/14.63 % Status : Theorem
% 14.52/14.63 % Rating : 0.56 v8.1.0, 0.50 v7.5.0, 0.59 v7.4.0, 0.50 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.48 v7.0.0, 0.53 v6.4.0, 0.54 v6.3.0, 0.58 v6.2.0, 0.56 v6.1.0, 0.60 v6.0.0, 0.61 v5.5.0, 0.74 v5.4.0, 0.75 v5.3.0, 0.81 v5.2.0
% 14.52/14.63 % Syntax : Number of formulae : 1277 ( 398 unt; 0 def)
% 14.52/14.63 % Number of atoms : 2859 ( 719 equ)
% 14.52/14.63 % Maximal formula atoms : 7 ( 2 avg)
% 14.52/14.63 % Number of connectives : 1732 ( 150 ~; 53 |; 125 &)
% 14.52/14.63 % ( 273 <=>;1131 =>; 0 <=; 0 <~>)
% 14.52/14.63 % Maximal formula depth : 11 ( 4 avg)
% 14.52/14.63 % Maximal term depth : 9 ( 1 avg)
% 14.52/14.63 % Number of predicates : 79 ( 78 usr; 1 prp; 0-3 aty)
% 14.52/14.63 % Number of functors : 38 ( 38 usr; 12 con; 0-3 aty)
% 14.52/14.63 % Number of variables : 2486 (2456 !; 30 ?)
% 14.52/14.63 % SPC : FOF_THM_RFO_SEQ
% 14.52/14.63
% 14.52/14.63 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 14.52/14.63 % 2011-03-01 11:38:12
% 14.52/14.63 %------------------------------------------------------------------------------
% 14.52/14.63 %----Relevant facts (995)
% 14.52/14.63 fof(fact_ext,axiom,
% 14.52/14.63 ! [V_ga_2,V_fa_2] :
% 14.52/14.63 ( ! [B_x] : hAPP(V_fa_2,B_x) = hAPP(V_ga_2,B_x)
% 14.52/14.63 => V_fa_2 = V_ga_2 ) ).
% 14.52/14.63
% 14.52/14.63 fof(fact_fz_I1_J,axiom,
% 14.52/14.63 c_SEQ_Osubseq(v_f____) ).
% 14.52/14.63
% 14.52/14.63 fof(fact_e,axiom,
% 14.52/14.63 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)))) ).
% 14.52/14.63
% 14.52/14.63 fof(fact__096EX_Ad_0620_O_AALL_Aw_O_A0_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_A_N_N_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096,axiom,
% 14.52/14.63 ? [B_d] :
% 14.52/14.63 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d)
% 14.52/14.63 & ! [B_w] :
% 14.52/14.63 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,v_z____)))
% 14.52/14.63 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,v_z____)),B_d) )
% 14.52/14.63 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_w),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 14.52/14.63
% 14.52/14.63 fof(fact_e2,axiom,
% 14.52/14.63 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 14.52/14.63
% 14.52/14.63 fof(fact_half__gt__zero__iff,axiom,
% 14.52/14.63 ! [V_ra_2,T_a] :
% 14.52/14.63 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.63 & class_Int_Onumber__ring(T_a) )
% 14.52/14.63 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_ra_2,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 14.52/14.63 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ra_2) ) ) ).
% 14.52/14.63
% 14.52/14.63 fof(fact_half__gt__zero,axiom,
% 14.52/14.63 ! [V_r,T_a] :
% 14.52/14.63 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.63 & class_Int_Onumber__ring(T_a) )
% 14.52/14.63 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_r)
% 14.52/14.63 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_r,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 14.52/14.63
% 14.52/14.63 fof(fact_abs__number__of,axiom,
% 14.52/14.63 ! [V_x,T_a] :
% 14.52/14.63 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.63 & class_Rings_Olinordered__idom(T_a) )
% 14.52/14.63 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x),c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.63 => c_Groups_Oabs__class_Oabs(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x)) )
% 14.52/14.63 & ( ~ c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x),c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.63 => c_Groups_Oabs__class_Oabs(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x)) = c_Int_Onumber__class_Onumber__of(T_a,V_x) ) ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_abs__real__def,axiom,
% 14.52/14.64 ! [V_a] :
% 14.52/14.64 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 14.52/14.64 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a) )
% 14.52/14.64 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 14.52/14.64 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = V_a ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_real__abs__def,axiom,
% 14.52/14.64 ! [V_r] :
% 14.52/14.64 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 14.52/14.64 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) )
% 14.52/14.64 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 14.52/14.64 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = V_r ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_norm__number__of,axiom,
% 14.52/14.64 ! [V_w,T_a] :
% 14.52/14.64 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.64 & class_RealVector_Oreal__normed__algebra__1(T_a) )
% 14.52/14.64 => c_RealVector_Onorm__class_Onorm(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_nonzero__norm__divide,axiom,
% 14.52/14.64 ! [V_a,V_b,T_a] :
% 14.52/14.64 ( class_RealVector_Oreal__normed__field(T_a)
% 14.52/14.64 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 14.52/14.64 => c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)) ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_divide__numeral__1,axiom,
% 14.52/14.64 ! [V_a,T_a] :
% 14.52/14.64 ( ( class_Fields_Ofield(T_a)
% 14.52/14.64 & class_Int_Onumber__ring(T_a) )
% 14.52/14.64 => c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_divide__Numeral1,axiom,
% 14.52/14.64 ! [V_x,T_a] :
% 14.52/14.64 ( ( class_Fields_Ofield(T_a)
% 14.52/14.64 & class_Int_Onumber__ring(T_a) )
% 14.52/14.64 => c_Rings_Oinverse__class_Odivide(T_a,V_x,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit1(c_Int_OPls))) = V_x ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_zero__less__norm__iff,axiom,
% 14.52/14.64 ! [V_x_2,T_a] :
% 14.52/14.64 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.64 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))
% 14.52/14.64 <=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_abs__div__pos,axiom,
% 14.52/14.64 ! [V_x,V_y,T_a] :
% 14.52/14.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.64 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 14.52/14.64 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oabs__class_Oabs(T_a,V_x),V_y) = c_Groups_Oabs__class_Oabs(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)) ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_divide__Numeral0,axiom,
% 14.52/14.64 ! [V_x,T_a] :
% 14.52/14.64 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 14.52/14.64 & class_Int_Onumber__ring(T_a) )
% 14.52/14.64 => c_Rings_Oinverse__class_Odivide(T_a,V_x,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_zero__is__num__zero,axiom,
% 14.52/14.64 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_bin__less__0__simps_I1_J,axiom,
% 14.52/14.64 ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_bin__less__0__simps_I3_J,axiom,
% 14.52/14.64 ! [V_wa_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(V_wa_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_bin__less__0__simps_I4_J,axiom,
% 14.52/14.64 ! [V_wa_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_wa_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_minus__Pls,axiom,
% 14.52/14.64 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls) = c_Int_OPls ).
% 14.52/14.64
% 14.52/14.64 fof(fact_minus__Bit0,axiom,
% 14.52/14.64 ! [V_k] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit0(V_k)) = c_Int_OBit0(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_k)) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_less__int__code_I16_J,axiom,
% 14.52/14.64 ! [V_k2_2,V_k1_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit1(V_k2_2))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I17_J,axiom,
% 14.52/14.64 ! [V_l_2,V_k_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k_2),c_Int_OBit1(V_l_2))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I2_J,axiom,
% 14.52/14.64 ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OPls) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_less__int__code_I13_J,axiom,
% 14.52/14.64 ! [V_k2_2,V_k1_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(V_k1_2),c_Int_OBit0(V_k2_2))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I14_J,axiom,
% 14.52/14.64 ! [V_l_2,V_k_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(V_k_2),c_Int_OBit0(V_l_2))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_real__norm__def,axiom,
% 14.52/14.64 ! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_Pls__def,axiom,
% 14.52/14.64 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I12_J,axiom,
% 14.52/14.64 ! [V_k_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k_2),c_Int_OPls)
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Int_OPls) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_less__int__code_I15_J,axiom,
% 14.52/14.64 ! [V_k2_2,V_k1_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit0(V_k2_2))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I16_J,axiom,
% 14.52/14.64 ! [V_l_2,V_k_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(V_k_2),c_Int_OBit0(V_l_2))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I10_J,axiom,
% 14.52/14.64 ! [V_k_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(V_k_2),c_Int_OPls)
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Int_OPls) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I4_J,axiom,
% 14.52/14.64 ! [V_k_2] :
% 14.52/14.64 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_k_2) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_eq__number__of,axiom,
% 14.52/14.64 ! [V_y_2,V_x_2,T_a] :
% 14.52/14.64 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.64 & class_Int_Oring__char__0(T_a) )
% 14.52/14.64 => ( c_Int_Onumber__class_Onumber__of(T_a,V_x_2) = c_Int_Onumber__class_Onumber__of(T_a,V_y_2)
% 14.52/14.64 <=> V_x_2 = V_y_2 ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_number__of__reorient,axiom,
% 14.52/14.64 ! [V_x_2,V_wa_2,T_a] :
% 14.52/14.64 ( class_Int_Onumber(T_a)
% 14.52/14.64 => ( c_Int_Onumber__class_Onumber__of(T_a,V_wa_2) = V_x_2
% 14.52/14.64 <=> V_x_2 = c_Int_Onumber__class_Onumber__of(T_a,V_wa_2) ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I51_J,axiom,
% 14.52/14.64 ! [V_l_2,V_k_2] :
% 14.52/14.64 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 14.52/14.64 <=> V_k_2 = V_l_2 ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I48_J,axiom,
% 14.52/14.64 ! [V_l_2,V_k_2] :
% 14.52/14.64 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 14.52/14.64 <=> V_k_2 = V_l_2 ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_less__number__of,axiom,
% 14.52/14.64 ! [V_y_2,V_x_2,T_a] :
% 14.52/14.64 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.64 & class_Rings_Olinordered__idom(T_a) )
% 14.52/14.64 => ( c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))
% 14.52/14.64 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,V_y_2) ) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_number__of__diff,axiom,
% 14.52/14.64 ! [V_w,V_v,T_a] :
% 14.52/14.64 ( class_Int_Onumber__ring(T_a)
% 14.52/14.64 => c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_v,V_w)) = c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_divide_Ozero,axiom,
% 14.52/14.64 ! [V_y,T_a] :
% 14.52/14.64 ( class_RealVector_Oreal__normed__field(T_a)
% 14.52/14.64 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_number__of__minus,axiom,
% 14.52/14.64 ! [V_w,T_a] :
% 14.52/14.64 ( class_Int_Onumber__ring(T_a)
% 14.52/14.64 => c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_arith__simps_I30_J,axiom,
% 14.52/14.64 ! [V_w,T_a] :
% 14.52/14.64 ( class_Int_Onumber__ring(T_a)
% 14.52/14.64 => c_Groups_Ouminus__class_Ouminus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_divide_Odiff,axiom,
% 14.52/14.64 ! [V_ya,V_y,V_x,T_a] :
% 14.52/14.64 ( class_RealVector_Oreal__normed__field(T_a)
% 14.52/14.64 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,V_y),V_ya) = c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_ya),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_ya)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I46_J,axiom,
% 14.52/14.64 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I39_J,axiom,
% 14.52/14.64 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I50_J,axiom,
% 14.52/14.64 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I49_J,axiom,
% 14.52/14.64 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I44_J,axiom,
% 14.52/14.64 ! [V_k_2] :
% 14.52/14.64 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 14.52/14.64 <=> V_k_2 = c_Int_OPls ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_rel__simps_I38_J,axiom,
% 14.52/14.64 ! [V_l_2] :
% 14.52/14.64 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 14.52/14.64 <=> c_Int_OPls = V_l_2 ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_Bit0__Pls,axiom,
% 14.52/14.64 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 14.52/14.64
% 14.52/14.64 fof(fact_norm__minus__commute,axiom,
% 14.52/14.64 ! [V_b,V_a,T_a] :
% 14.52/14.64 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.64 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_minus__divide__divide,axiom,
% 14.52/14.64 ! [V_b,V_a,T_a] :
% 14.52/14.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.52/14.64 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_divide_Ominus,axiom,
% 14.52/14.64 ! [V_y,V_x,T_a] :
% 14.52/14.64 ( class_RealVector_Oreal__normed__field(T_a)
% 14.52/14.64 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x),V_y) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_minus__divide__right,axiom,
% 14.52/14.64 ! [V_b,V_a,T_a] :
% 14.52/14.64 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.52/14.64 => c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)) = c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_norm__minus__cancel,axiom,
% 14.52/14.64 ! [V_x,T_a] :
% 14.52/14.64 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.64 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_RealVector_Onorm__class_Onorm(T_a,V_x) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_abs__divide,axiom,
% 14.52/14.64 ! [V_b,V_a,T_a] :
% 14.52/14.64 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.64 => c_Groups_Oabs__class_Oabs(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)) = c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_abs__norm__cancel,axiom,
% 14.52/14.64 ! [V_a,T_a] :
% 14.52/14.64 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.64 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) = c_RealVector_Onorm__class_Onorm(T_a,V_a) ) ).
% 14.52/14.64
% 14.52/14.64 fof(fact_divide__strict__right__mono__neg,axiom,
% 14.52/14.64 ! [V_c,V_a,V_b,T_a] :
% 14.52/14.64 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_divide__strict__right__mono,axiom,
% 14.52/14.65 ! [V_c,V_b,V_a,T_a] :
% 14.52/14.65 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.52/14.65 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_divide__neg__neg,axiom,
% 14.52/14.65 ! [V_y,V_x,T_a] :
% 14.52/14.65 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_divide__neg__pos,axiom,
% 14.52/14.65 ! [V_y,V_x,T_a] :
% 14.52/14.65 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 14.52/14.65 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_divide__pos__neg,axiom,
% 14.52/14.65 ! [V_y,V_x,T_a] :
% 14.52/14.65 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_divide__pos__pos,axiom,
% 14.52/14.65 ! [V_y,V_x,T_a] :
% 14.52/14.65 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 14.52/14.65 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_divide__less__0__iff,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 14.52/14.65 & c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 14.52/14.65 | ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_zero__less__divide__iff,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_b_2))
% 14.52/14.65 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 14.52/14.65 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 14.52/14.65 | ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 & c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_number__of__Pls,axiom,
% 14.52/14.65 ! [T_a] :
% 14.52/14.65 ( class_Int_Onumber__ring(T_a)
% 14.52/14.65 => c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_norm__zero,axiom,
% 14.52/14.65 ! [T_a] :
% 14.52/14.65 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.65 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_norm__eq__zero,axiom,
% 14.52/14.65 ! [V_x_2,T_a] :
% 14.52/14.65 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.65 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.52/14.65 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_nonzero__abs__divide,axiom,
% 14.52/14.65 ! [V_a,V_b,T_a] :
% 14.52/14.65 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.65 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)) = c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_norm__not__less__zero,axiom,
% 14.52/14.65 ! [V_x,T_a] :
% 14.52/14.65 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.65 => ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_norm__divide,axiom,
% 14.52/14.65 ! [V_b,V_a,T_a] :
% 14.52/14.65 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 14.52/14.65 & class_RealVector_Oreal__normed__field(T_a) )
% 14.52/14.65 => c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__special_I3_J,axiom,
% 14.52/14.65 ! [V_x_2,T_a] :
% 14.52/14.65 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.65 & class_Rings_Olinordered__idom(T_a) )
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,c_Int_OPls) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__special_I1_J,axiom,
% 14.52/14.65 ! [V_y_2,T_a] :
% 14.52/14.65 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.65 & class_Rings_Olinordered__idom(T_a) )
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_y_2) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__of__neg,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__if,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Oabs__if(T_a)
% 14.52/14.65 => ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) )
% 14.52/14.65 & ( ~ c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_pos2,axiom,
% 14.52/14.65 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__less__iff,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Rings_Olinordered__idom(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),V_b_2)
% 14.52/14.65 <=> ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)
% 14.52/14.65 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_nonzero__minus__divide__divide,axiom,
% 14.52/14.65 ! [V_a,V_b,T_a] :
% 14.52/14.65 ( class_Rings_Odivision__ring(T_a)
% 14.52/14.65 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 14.52/14.65 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_nonzero__minus__divide__right,axiom,
% 14.52/14.65 ! [V_a,V_b,T_a] :
% 14.52/14.65 ( class_Rings_Odivision__ring(T_a)
% 14.52/14.65 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 14.52/14.65 => c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)) = c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__of__pos,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_zero__less__abs__iff,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a_2))
% 14.52/14.65 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__not__less__zero,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_semiring__norm_I112_J,axiom,
% 14.52/14.65 ! [T_a] :
% 14.52/14.65 ( class_Int_Onumber__ring(T_a)
% 14.52/14.65 => c_Groups_Ozero__class_Ozero(T_a) = c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__0,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_neg__less__nonneg,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_a_2)
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_zminus__0,axiom,
% 14.52/14.65 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_number__of__is__id,axiom,
% 14.52/14.65 ! [V_k] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k) = V_k ).
% 14.52/14.65
% 14.52/14.65 fof(fact_zabs__def,axiom,
% 14.52/14.65 ! [V_i] :
% 14.52/14.65 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i) )
% 14.52/14.65 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = V_i ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_zminus__zminus,axiom,
% 14.52/14.65 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ).
% 14.52/14.65
% 14.52/14.65 fof(fact_minus__numeral__code_I5_J,axiom,
% 14.52/14.65 ! [V_w] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__bin__lemma,axiom,
% 14.52/14.65 ! [V_l_2,V_k_2] :
% 14.52/14.65 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_zless__linear,axiom,
% 14.52/14.65 ! [V_y,V_x] :
% 14.52/14.65 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)
% 14.52/14.65 | V_x = V_y
% 14.52/14.65 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__number__of__int__code,axiom,
% 14.52/14.65 ! [V_l_2,V_k_2] :
% 14.52/14.65 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k_2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2))
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__bin__simps_I1_J,axiom,
% 14.52/14.65 ! [V_k] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k,c_Int_OPls) = V_k ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__bin__simps_I7_J,axiom,
% 14.52/14.65 ! [V_l,V_k] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit0(V_k),c_Int_OBit0(V_l)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k,V_l)) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__bin__simps_I9_J,axiom,
% 14.52/14.65 ! [V_l,V_k] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(V_k),c_Int_OBit0(V_l)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k,V_l)) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__bin__simps_I10_J,axiom,
% 14.52/14.65 ! [V_l,V_k] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OBit1(V_k),c_Int_OBit1(V_l)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k,V_l)) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__bin__simps_I3_J,axiom,
% 14.52/14.65 ! [V_l] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_l)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,V_l)) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_zero__reorient,axiom,
% 14.52/14.65 ! [V_x_2,T_a] :
% 14.52/14.65 ( class_Groups_Ozero(T_a)
% 14.52/14.65 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 14.52/14.65 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_linorder__neqE__linordered__idom,axiom,
% 14.52/14.65 ! [V_y,V_x,T_a] :
% 14.52/14.65 ( class_Rings_Olinordered__idom(T_a)
% 14.52/14.65 => ( V_x != V_y
% 14.52/14.65 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.65 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__eq__diff__eq,axiom,
% 14.52/14.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oab__group__add(T_a)
% 14.52/14.65 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 14.52/14.65 => ( V_a_2 = V_b_2
% 14.52/14.65 <=> V_c_2 = V_d_2 ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_minus__minus,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_equation__minus__iff,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 14.52/14.65 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_minus__equation__iff,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = V_b_2
% 14.52/14.65 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_a_2 ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_neg__equal__iff__equal,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 14.52/14.65 <=> V_a_2 = V_b_2 ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__nat__number__of,axiom,
% 14.52/14.65 ! [V_v_H_2,V_v_2] :
% 14.52/14.65 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2))
% 14.52/14.65 <=> ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_v_2,V_v_H_2)
% 14.52/14.65 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_v_H_2) )
% 14.52/14.65 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_v_2,V_v_H_2) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__0__number__of,axiom,
% 14.52/14.65 ! [V_v_2] :
% 14.52/14.65 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2))
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,V_v_2) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_nat__number__of__Pls,axiom,
% 14.52/14.65 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_semiring__norm_I113_J,axiom,
% 14.52/14.65 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__idempotent,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__0__right,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__self,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_eq__iff__diff__eq__0,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oab__group__add(T_a)
% 14.52/14.65 => ( V_a_2 = V_b_2
% 14.52/14.65 <=> c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_right__minus__eq,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.52/14.65 <=> V_a_2 = V_b_2 ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__eq__diff__less,axiom,
% 14.52/14.65 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.65 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2) ) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_minus__zero,axiom,
% 14.52/14.65 ! [T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_neg__0__equal__iff__equal,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)
% 14.52/14.65 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_equal__neg__zero,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.52/14.65 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)
% 14.52/14.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_neg__equal__0__iff__equal,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Ogroup__add(T_a)
% 14.52/14.65 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.52/14.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_neg__equal__zero,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.52/14.65 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = V_a_2
% 14.52/14.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__minus__iff,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_minus__less__iff,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2)
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_a_2) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_neg__less__iff__less,axiom,
% 14.52/14.65 ! [V_a_2,V_b_2,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.65 => ( 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))
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_divide__zero__left,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Rings_Odivision__ring(T_a)
% 14.52/14.65 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_divide__zero,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 14.52/14.65 => c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_minus__diff__eq,axiom,
% 14.52/14.65 ! [V_b,V_a,T_a] :
% 14.52/14.65 ( class_Groups_Oab__group__add(T_a)
% 14.52/14.65 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_Groups_Ominus__class_Ominus(T_a,V_b,V_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__zero,axiom,
% 14.52/14.65 ! [T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__eq__0,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => ( c_Groups_Oabs__class_Oabs(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.52/14.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_diff__divide__distrib,axiom,
% 14.52/14.65 ! [V_c,V_b,V_a,T_a] :
% 14.52/14.65 ( class_Rings_Odivision__ring(T_a)
% 14.52/14.65 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_c) = c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_minus__divide__left,axiom,
% 14.52/14.65 ! [V_b,V_a,T_a] :
% 14.52/14.65 ( class_Rings_Odivision__ring(T_a)
% 14.52/14.65 => c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)) = c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__minus__commute,axiom,
% 14.52/14.65 ! [V_b,V_a,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_abs__minus__cancel,axiom,
% 14.52/14.65 ! [V_a,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.65 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__iff__diff__less__0,axiom,
% 14.52/14.65 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_neg__0__less__iff__less,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.65 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 14.52/14.65 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.52/14.65
% 14.52/14.65 fof(fact_less__minus__self__iff,axiom,
% 14.52/14.65 ! [V_a_2,T_a] :
% 14.52/14.65 ( class_Rings_Olinordered__idom(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_neg__less__0__iff__less,axiom,
% 14.52/14.66 ! [V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__zeroE,axiom,
% 14.52/14.66 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_subseq__def,axiom,
% 14.52/14.66 ! [V_fa_2] :
% 14.52/14.66 ( c_SEQ_Osubseq(V_fa_2)
% 14.52/14.66 <=> ! [B_m,B_n] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_fa_2,B_m),hAPP(V_fa_2,B_n)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_fz_I2_J,axiom,
% 14.52/14.66 ! [B_e] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)
% 14.52/14.66 => ? [B_N] :
% 14.52/14.66 ! [B_n] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N,B_n)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(v_f____,B_n)),v_z____)),B_e) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_poly__minus,axiom,
% 14.52/14.66 ! [V_x,V_p,T_a] :
% 14.52/14.66 ( class_Rings_Ocomm__ring(T_a)
% 14.52/14.66 => 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)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_poly__diff,axiom,
% 14.52/14.66 ! [V_x,V_q,V_p,T_a] :
% 14.52/14.66 ( class_Rings_Ocomm__ring(T_a)
% 14.52/14.66 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = c_Groups_Ominus__class_Ominus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_poly__0,axiom,
% 14.52/14.66 ! [V_x,T_a] :
% 14.52/14.66 ( class_Rings_Ocomm__semiring__0(T_a)
% 14.52/14.66 => 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) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_not__less0,axiom,
% 14.52/14.66 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_neq0__conv,axiom,
% 14.52/14.66 ! [V_n_2] :
% 14.52/14.66 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_zero__less__diff,axiom,
% 14.52/14.66 ! [V_m_2,V_n_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_m_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__nat__zero__code,axiom,
% 14.52/14.66 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le0,axiom,
% 14.52/14.66 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_minus__poly__code_I1_J,axiom,
% 14.52/14.66 ! [T_a] :
% 14.52/14.66 ( class_Groups_Oab__group__add(T_a)
% 14.52/14.66 => 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)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__poly__def,axiom,
% 14.52/14.66 ! [V_x,T_a] :
% 14.52/14.66 ( class_Rings_Olinordered__idom(T_a)
% 14.52/14.66 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 14.52/14.66 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x) )
% 14.52/14.66 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 14.52/14.66 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = V_x ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__poly__code_I1_J,axiom,
% 14.52/14.66 ! [V_q,T_a] :
% 14.52/14.66 ( class_Groups_Oab__group__add(T_a)
% 14.52/14.66 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_q) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__poly__code_I2_J,axiom,
% 14.52/14.66 ! [V_p,T_a] :
% 14.52/14.66 ( class_Groups_Oab__group__add(T_a)
% 14.52/14.66 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__diff__iff,axiom,
% 14.52/14.66 ! [V_n_2,V_m_2,V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_Nat_Odiff__diff__eq,axiom,
% 14.52/14.66 ! [V_n,V_m,V_k] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 14.52/14.66 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_eq__diff__iff,axiom,
% 14.52/14.66 ! [V_n_2,V_m_2,V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2)
% 14.52/14.66 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)
% 14.52/14.66 <=> V_m_2 = V_n_2 ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__diff__cancel,axiom,
% 14.52/14.66 ! [V_n,V_i] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n)
% 14.52/14.66 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__le__mono,axiom,
% 14.52/14.66 ! [V_l,V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_l),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_l)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__le__mono2,axiom,
% 14.52/14.66 ! [V_l,V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__commute,axiom,
% 14.52/14.66 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_k),V_j) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__le__self,axiom,
% 14.52/14.66 ! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__number__of,axiom,
% 14.52/14.66 ! [V_y_2,V_x_2,T_a] :
% 14.52/14.66 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.66 & class_Rings_Olinordered__idom(T_a) )
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_x_2,V_y_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__refl,axiom,
% 14.52/14.66 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_nat__le__linear,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_eq__imp__le,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( V_m = V_n
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__trans,axiom,
% 14.52/14.66 ! [V_k,V_j,V_i] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__antisym,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 14.52/14.66 => V_m = V_n ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__is__0__eq_H,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__is__0__eq,axiom,
% 14.52/14.66 ! [V_n_2,V_m_2] :
% 14.52/14.66 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__0__eq,axiom,
% 14.52/14.66 ! [V_n_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 14.52/14.66 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 14.52/14.66 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__or__eq__imp__le,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 | V_m = V_n )
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__diff__iff,axiom,
% 14.52/14.66 ! [V_n_2,V_m_2,V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_m_2)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__less__mono,axiom,
% 14.52/14.66 ! [V_c,V_b,V_a] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a,V_c),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_b,V_c)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__neq__implies__less,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 => ( V_m != V_n
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__imp__le__nat,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__eq__less__or__eq,axiom,
% 14.52/14.66 ! [V_n_2,V_m_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 14.52/14.66 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 14.52/14.66 | V_m_2 = V_n_2 ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_nat__less__le,axiom,
% 14.52/14.66 ! [V_n_2,V_m_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 14.52/14.66 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 14.52/14.66 & V_m_2 != V_n_2 ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_seq__suble,axiom,
% 14.52/14.66 ! [V_n_2,V_fa_2] :
% 14.52/14.66 ( c_SEQ_Osubseq(V_fa_2)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,hAPP(V_fa_2,V_n_2)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__eq__diff__less__eq,axiom,
% 14.52/14.66 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_c_2,V_d_2) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__imp__neg__le,axiom,
% 14.52/14.66 ! [V_b,V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.52/14.66 => 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)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_neg__le__iff__le,axiom,
% 14.52/14.66 ! [V_a_2,V_b_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( 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))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_minus__le__iff,axiom,
% 14.52/14.66 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_a_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__minus__iff,axiom,
% 14.52/14.66 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__le__D1,axiom,
% 14.52/14.66 ! [V_b,V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__ge__self,axiom,
% 14.52/14.66 ! [V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__special_I3_J,axiom,
% 14.52/14.66 ! [V_x_2,T_a] :
% 14.52/14.66 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.66 & class_Rings_Olinordered__idom(T_a) )
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_x_2,c_Int_OPls) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__special_I1_J,axiom,
% 14.52/14.66 ! [V_y_2,T_a] :
% 14.52/14.66 ( ( class_Int_Onumber__ring(T_a)
% 14.52/14.66 & class_Rings_Olinordered__idom(T_a) )
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_y_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__iff__diff__le__0,axiom,
% 14.52/14.66 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__number__of__eq__not__less,axiom,
% 14.52/14.66 ! [V_wa_2,V_v_2,T_a] :
% 14.52/14.66 ( ( class_Int_Onumber(T_a)
% 14.52/14.66 & class_Orderings_Olinorder(T_a) )
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v_2),c_Int_Onumber__class_Onumber__of(T_a,V_wa_2))
% 14.52/14.66 <=> ~ c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_wa_2),c_Int_Onumber__class_Onumber__of(T_a,V_v_2)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_minus__le__self__iff,axiom,
% 14.52/14.66 ! [V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_a_2)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_neg__le__0__iff__le,axiom,
% 14.52/14.66 ! [V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( 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))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_le__minus__self__iff,axiom,
% 14.52/14.66 ! [V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_neg__0__le__iff__le,axiom,
% 14.52/14.66 ! [V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add(T_a)
% 14.52/14.66 => ( 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))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_divide__right__mono__neg,axiom,
% 14.52/14.66 ! [V_c,V_b,V_a,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_divide__right__mono,axiom,
% 14.52/14.66 ! [V_c,V_b,V_a,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_divide__le__0__iff,axiom,
% 14.52/14.66 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 14.52/14.66 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 14.52/14.66 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_zero__le__divide__iff,axiom,
% 14.52/14.66 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_b_2))
% 14.52/14.66 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 14.52/14.66 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 14.52/14.66 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__of__nonneg,axiom,
% 14.52/14.66 ! [V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.52/14.66 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__le__zero__iff,axiom,
% 14.52/14.66 ! [V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__ge__zero,axiom,
% 14.52/14.66 ! [V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__triangle__ineq2__sym,axiom,
% 14.52/14.66 ! [V_b,V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a))) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__triangle__ineq2,axiom,
% 14.52/14.66 ! [V_b,V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__triangle__ineq3,axiom,
% 14.52/14.66 ! [V_b,V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__le__D2,axiom,
% 14.52/14.66 ! [V_b,V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__leI,axiom,
% 14.52/14.66 ! [V_b,V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__le__iff,axiom,
% 14.52/14.66 ! [V_b_2,V_a_2,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),V_b_2)
% 14.52/14.66 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2)
% 14.52/14.66 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__ge__minus__self,axiom,
% 14.52/14.66 ! [V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_divide__nonpos__neg,axiom,
% 14.52/14.66 ! [V_y,V_x,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_divide__nonpos__pos,axiom,
% 14.52/14.66 ! [V_y,V_x,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_frac__le,axiom,
% 14.52/14.66 ! [V_z,V_w,V_y,V_x,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_w,V_z)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w)) ) ) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_frac__less,axiom,
% 14.52/14.66 ! [V_z,V_w,V_y,V_x,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_w,V_z)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w)) ) ) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_frac__less2,axiom,
% 14.52/14.66 ! [V_z,V_w,V_y,V_x,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,V_w,V_z)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w)) ) ) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_divide__nonneg__neg,axiom,
% 14.52/14.66 ! [V_y,V_x,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_divide__nonneg__pos,axiom,
% 14.52/14.66 ! [V_y,V_x,T_a] :
% 14.52/14.66 ( class_Fields_Olinordered__field(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__of__nonpos,axiom,
% 14.52/14.66 ! [V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.52/14.66 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__minus__le__zero,axiom,
% 14.52/14.66 ! [V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diffs0__imp__equal,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.52/14.66 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.52/14.66 => V_m = V_n ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__self__eq__0,axiom,
% 14.52/14.66 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_minus__nat_Odiff__0,axiom,
% 14.52/14.66 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__0__eq__0,axiom,
% 14.52/14.66 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_nat__less__cases,axiom,
% 14.52/14.66 ! [V_P_2,V_n_2,V_m_2] :
% 14.52/14.66 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 14.52/14.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 14.52/14.66 => ( ( V_m_2 = V_n_2
% 14.52/14.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 14.52/14.66 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 14.52/14.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 14.52/14.66 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__less__mono2,axiom,
% 14.52/14.66 ! [V_l,V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__imp__diff__less,axiom,
% 14.52/14.66 ! [V_n,V_k,V_j] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__not__refl3,axiom,
% 14.52/14.66 ! [V_t,V_s] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)
% 14.52/14.66 => V_s != V_t ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__not__refl2,axiom,
% 14.52/14.66 ! [V_m,V_n] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 14.52/14.66 => V_m != V_n ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__irrefl__nat,axiom,
% 14.52/14.66 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_linorder__neqE__nat,axiom,
% 14.52/14.66 ! [V_y,V_x] :
% 14.52/14.66 ( V_x != V_y
% 14.52/14.66 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_nat__neq__iff,axiom,
% 14.52/14.66 ! [V_n_2,V_m_2] :
% 14.52/14.66 ( V_m_2 != V_n_2
% 14.52/14.66 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 14.52/14.66 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__not__refl,axiom,
% 14.52/14.66 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_poly__zero,axiom,
% 14.52/14.66 ! [V_pa_2,T_a] :
% 14.52/14.66 ( ( class_Int_Oring__char__0(T_a)
% 14.52/14.66 & class_Rings_Oidom(T_a) )
% 14.52/14.66 => ( c_Polynomial_Opoly(T_a,V_pa_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 14.52/14.66 <=> V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_poly__eq__iff,axiom,
% 14.52/14.66 ! [V_q_2,V_pa_2,T_a] :
% 14.52/14.66 ( ( class_Int_Oring__char__0(T_a)
% 14.52/14.66 & class_Rings_Oidom(T_a) )
% 14.52/14.66 => ( c_Polynomial_Opoly(T_a,V_pa_2) = c_Polynomial_Opoly(T_a,V_q_2)
% 14.52/14.66 <=> V_pa_2 = V_q_2 ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_gr0I,axiom,
% 14.52/14.66 ! [V_n] :
% 14.52/14.66 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_gr__implies__not0,axiom,
% 14.52/14.66 ! [V_n,V_m] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.52/14.66 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_diff__less,axiom,
% 14.52/14.66 ! [V_m,V_n] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_psize__eq__0__iff,axiom,
% 14.52/14.66 ! [V_pa_2,T_a] :
% 14.52/14.66 ( class_Groups_Ozero(T_a)
% 14.52/14.66 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pa_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.52/14.66 <=> V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_order__root,axiom,
% 14.52/14.66 ! [V_a_2,V_pa_2,T_a] :
% 14.52/14.66 ( class_Rings_Oidom(T_a)
% 14.52/14.66 => ( hAPP(c_Polynomial_Opoly(T_a,V_pa_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.52/14.66 <=> ( V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 14.52/14.66 | c_Polynomial_Oorder(T_a,V_a_2,V_pa_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_order__refl,axiom,
% 14.52/14.66 ! [V_x,T_a] :
% 14.52/14.66 ( class_Orderings_Opreorder(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_termination__basic__simps_I5_J,axiom,
% 14.52/14.66 ! [V_y,V_x] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_poly__cont,axiom,
% 14.52/14.66 ! [V_p,V_z,V_e] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_e)
% 14.52/14.66 => ? [B_d] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d)
% 14.52/14.66 & ! [B_w] :
% 14.52/14.66 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,V_z)))
% 14.52/14.66 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,V_z)),B_d) )
% 14.52/14.66 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),B_w),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),V_z))),V_e) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_Limits_Ominus__diff__minus,axiom,
% 14.52/14.66 ! [V_b,V_a,T_a] :
% 14.52/14.66 ( class_Groups_Oab__group__add(T_a)
% 14.52/14.66 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_decseq__def,axiom,
% 14.52/14.66 ! [V_X_2,T_a] :
% 14.52/14.66 ( class_Orderings_Oorder(T_a)
% 14.52/14.66 => ( c_SEQ_Odecseq(T_a,V_X_2)
% 14.52/14.66 <=> ! [B_m,B_n] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_compl__mono,axiom,
% 14.52/14.66 ! [V_y,V_x,T_a] :
% 14.52/14.66 ( class_Lattices_Oboolean__algebra(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.52/14.66 => 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)) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rp,axiom,
% 14.52/14.66 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_g_I1_J,axiom,
% 14.52/14.66 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_g____(B_n)),v_r) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_zle__antisym,axiom,
% 14.52/14.66 ! [V_w,V_z] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z)
% 14.52/14.66 => V_z = V_w ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_zle__trans,axiom,
% 14.52/14.66 ! [V_k,V_j,V_i] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_zle__linear,axiom,
% 14.52/14.66 ! [V_w,V_z] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 14.52/14.66 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_zle__refl,axiom,
% 14.52/14.66 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rel__simps_I34_J,axiom,
% 14.52/14.66 ! [V_l_2,V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(V_k_2),c_Int_OBit1(V_l_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__eq__int__code_I16_J,axiom,
% 14.52/14.66 ! [V_k2_2,V_k1_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit1(V_k2_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k1_2,V_k2_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rel__simps_I19_J,axiom,
% 14.52/14.66 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rel__simps_I31_J,axiom,
% 14.52/14.66 ! [V_l_2,V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(V_k_2),c_Int_OBit0(V_l_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__eq__int__code_I13_J,axiom,
% 14.52/14.66 ! [V_k2_2,V_k1_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(V_k1_2),c_Int_OBit0(V_k2_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k1_2,V_k2_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_real__less__def,axiom,
% 14.52/14.66 ! [V_y_2,V_x_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 14.52/14.66 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 14.52/14.66 & V_x_2 != V_y_2 ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__eq__real__def,axiom,
% 14.52/14.66 ! [V_y_2,V_x_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 14.52/14.66 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 14.52/14.66 | V_x_2 = V_y_2 ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_zless__le,axiom,
% 14.52/14.66 ! [V_wa_2,V_za_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_za_2,V_wa_2)
% 14.52/14.66 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_za_2,V_wa_2)
% 14.52/14.66 & V_za_2 != V_wa_2 ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__eq__number__of__int__code,axiom,
% 14.52/14.66 ! [V_l_2,V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k_2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rel__simps_I22_J,axiom,
% 14.52/14.66 ! [V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rel__simps_I32_J,axiom,
% 14.52/14.66 ! [V_l_2,V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(V_k_2),c_Int_OBit1(V_l_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_less__eq__int__code_I14_J,axiom,
% 14.52/14.66 ! [V_k2_2,V_k1_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(V_k1_2),c_Int_OBit1(V_k2_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k1_2,V_k2_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rel__simps_I21_J,axiom,
% 14.52/14.66 ! [V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OBit0(V_k_2))
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rel__simps_I27_J,axiom,
% 14.52/14.66 ! [V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(V_k_2),c_Int_OPls)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,c_Int_OPls) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_norm__ge__zero,axiom,
% 14.52/14.66 ! [V_x,T_a] :
% 14.52/14.66 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.66 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_real__0__le__divide__iff,axiom,
% 14.52/14.66 ! [V_y_2,V_x_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2))
% 14.52/14.66 <=> ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 14.52/14.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) )
% 14.52/14.66 & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)
% 14.52/14.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_real__le__eq__diff,axiom,
% 14.52/14.66 ! [V_y_2,V_x_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_abs__le__interval__iff,axiom,
% 14.52/14.66 ! [V_ra_2,V_x_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x_2),V_ra_2)
% 14.52/14.66 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_ra_2),V_x_2)
% 14.52/14.66 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_ra_2) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_norm__le__zero__iff,axiom,
% 14.52/14.66 ! [V_x_2,T_a] :
% 14.52/14.66 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.52/14.66 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 14.52/14.66 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_eq__number__of__0,axiom,
% 14.52/14.66 ! [V_v_2] :
% 14.52/14.66 ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_v_2,c_Int_OPls) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_eq__0__number__of,axiom,
% 14.52/14.66 ! [V_v_2] :
% 14.52/14.66 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)
% 14.52/14.66 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_v_2,c_Int_OPls) ) ).
% 14.52/14.66
% 14.52/14.66 fof(fact_rel__simps_I5_J,axiom,
% 14.52/14.66 ! [V_k_2] :
% 14.52/14.66 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,c_Int_OBit1(V_k_2))
% 14.52/14.67 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,V_k_2) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_rel__simps_I29_J,axiom,
% 14.52/14.67 ! [V_k_2] :
% 14.52/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(V_k_2),c_Int_OPls)
% 14.52/14.67 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Int_OPls) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_rel__simps_I15_J,axiom,
% 14.52/14.67 ! [V_l_2,V_k_2] :
% 14.52/14.67 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(V_k_2),c_Int_OBit1(V_l_2))
% 14.52/14.67 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_less__int__code_I14_J,axiom,
% 14.52/14.67 ! [V_k2_2,V_k1_2] :
% 14.52/14.67 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(V_k1_2),c_Int_OBit1(V_k2_2))
% 14.52/14.67 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k1_2,V_k2_2) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_rel__simps_I33_J,axiom,
% 14.52/14.67 ! [V_l_2,V_k_2] :
% 14.52/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(V_k_2),c_Int_OBit0(V_l_2))
% 14.52/14.67 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_less__eq__int__code_I15_J,axiom,
% 14.52/14.67 ! [V_k2_2,V_k1_2] :
% 14.52/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(V_k1_2),c_Int_OBit0(V_k2_2))
% 14.52/14.67 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k1_2,V_k2_2) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_linorder__le__cases,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Olinorder(T_a)
% 14.52/14.67 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_le__funE,axiom,
% 14.52/14.67 ! [V_x_2,V_ga_2,V_fa_2,T_a,T_b] :
% 14.52/14.67 ( class_Orderings_Oord(T_b)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_fa_2,V_ga_2)
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_fa_2,V_x_2),hAPP(V_ga_2,V_x_2)) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_xt1_I6_J,axiom,
% 14.52/14.67 ! [V_z,V_x,V_y,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_xt1_I5_J,axiom,
% 14.52/14.67 ! [V_x,V_y,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.52/14.67 => V_x = V_y ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__trans,axiom,
% 14.52/14.67 ! [V_z,V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Opreorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__antisym,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 14.52/14.67 => V_x = V_y ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_xt1_I4_J,axiom,
% 14.52/14.67 ! [V_c,V_a,V_b,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 14.52/14.67 => ( V_b = V_c
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_ord__le__eq__trans,axiom,
% 14.52/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.52/14.67 ( class_Orderings_Oord(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.52/14.67 => ( V_b = V_c
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_xt1_I3_J,axiom,
% 14.52/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( V_a = V_b
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_ord__eq__le__trans,axiom,
% 14.52/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.52/14.67 ( class_Orderings_Oord(T_a)
% 14.52/14.67 => ( V_a = V_b
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__antisym__conv,axiom,
% 14.52/14.67 ! [V_x_2,V_y_2,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 14.52/14.67 <=> V_x_2 = V_y_2 ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_le__funD,axiom,
% 14.52/14.67 ! [V_x_2,V_ga_2,V_fa_2,T_a,T_b] :
% 14.52/14.67 ( class_Orderings_Oord(T_b)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_fa_2,V_ga_2)
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_fa_2,V_x_2),hAPP(V_ga_2,V_x_2)) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__eq__refl,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Opreorder(T_a)
% 14.52/14.67 => ( V_x = V_y
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__eq__iff,axiom,
% 14.52/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( V_x_2 = V_y_2
% 14.52/14.67 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 14.52/14.67 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_linorder__linear,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Olinorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.52/14.67 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_le__fun__def,axiom,
% 14.52/14.67 ! [V_ga_2,V_fa_2,T_a,T_b] :
% 14.52/14.67 ( class_Orderings_Oord(T_b)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_fa_2,V_ga_2)
% 14.52/14.67 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_fa_2,B_x),hAPP(V_ga_2,B_x)) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_le__nat__number__of,axiom,
% 14.52/14.67 ! [V_v_H_2,V_v_2] :
% 14.52/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2))
% 14.52/14.67 <=> ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_v_2,V_v_H_2)
% 14.52/14.67 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_v_2,c_Int_OPls) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__less__irrefl,axiom,
% 14.52/14.67 ! [V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Opreorder(T_a)
% 14.52/14.67 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_linorder__neq__iff,axiom,
% 14.52/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.52/14.67 ( class_Orderings_Olinorder(T_a)
% 14.52/14.67 => ( V_x_2 != V_y_2
% 14.52/14.67 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.52/14.67 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_not__less__iff__gr__or__eq,axiom,
% 14.52/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.52/14.67 ( class_Orderings_Olinorder(T_a)
% 14.52/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.52/14.67 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 14.52/14.67 | V_x_2 = V_y_2 ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_linorder__less__linear,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Olinorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.67 | V_x = V_y
% 14.52/14.67 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_linorder__antisym__conv3,axiom,
% 14.52/14.67 ! [V_x_2,V_y_2,T_a] :
% 14.52/14.67 ( class_Orderings_Olinorder(T_a)
% 14.52/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 14.52/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.52/14.67 <=> V_x_2 = V_y_2 ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_linorder__neqE,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Olinorder(T_a)
% 14.52/14.67 => ( V_x != V_y
% 14.52/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.67 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_less__imp__neq,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.67 => V_x != V_y ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__less__not__sym,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Opreorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.67 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__less__imp__not__less,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Opreorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.67 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__less__imp__not__eq,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.67 => V_x != V_y ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__less__imp__not__eq2,axiom,
% 14.52/14.67 ! [V_y,V_x,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.52/14.67 => V_y != V_x ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_order__less__asym_H,axiom,
% 14.52/14.67 ! [V_b,V_a,T_a] :
% 14.52/14.67 ( class_Orderings_Opreorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.52/14.67 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_xt1_I9_J,axiom,
% 14.52/14.67 ! [V_a,V_b,T_a] :
% 14.52/14.67 ( class_Orderings_Oorder(T_a)
% 14.52/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 14.52/14.67 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 14.52/14.67
% 14.52/14.67 fof(fact_ord__eq__less__trans,axiom,
% 14.52/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.52/14.67 ( class_Orderings_Oord(T_a)
% 14.52/14.67 => ( V_a = V_b
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_xt1_I1_J,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( V_a = V_b
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_ord__less__eq__trans,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Orderings_Oord(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.67 => ( V_b = V_c
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_xt1_I2_J,axiom,
% 14.69/14.67 ! [V_c,V_a,V_b,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 14.69/14.67 => ( V_b = V_c
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__less__trans,axiom,
% 14.69/14.67 ! [V_z,V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Opreorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_xt1_I10_J,axiom,
% 14.69/14.67 ! [V_z,V_x,V_y,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__less__asym,axiom,
% 14.69/14.67 ! [V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Opreorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.69/14.67 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_linorder__cases,axiom,
% 14.69/14.67 ! [V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.69/14.67 => ( V_x != V_y
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_norm__triangle__ineq2,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_minus__apply,axiom,
% 14.69/14.67 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 14.69/14.67 ( class_Groups_Ominus(T_a)
% 14.69/14.67 => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2) = c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_double__compl,axiom,
% 14.69/14.67 ! [V_x,T_a] :
% 14.69/14.67 ( class_Lattices_Oboolean__algebra(T_a)
% 14.69/14.67 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_uminus__apply,axiom,
% 14.69/14.67 ! [V_x_2,V_A_2,T_b,T_a] :
% 14.69/14.67 ( class_Groups_Ouminus(T_a)
% 14.69/14.67 => 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)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_compl__eq__compl__iff,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Lattices_Oboolean__algebra(T_a)
% 14.69/14.67 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)
% 14.69/14.67 <=> V_x_2 = V_y_2 ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_norm__triangle__ineq3,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_linorder__not__less,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_linorder__not__le,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_linorder__le__less__linear,axiom,
% 14.69/14.67 ! [V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.69/14.67 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__less__le,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.69/14.67 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 14.69/14.67 & V_x_2 != V_y_2 ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_less__le__not__le,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Orderings_Opreorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.69/14.67 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 14.69/14.67 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__le__less,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 14.69/14.67 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.69/14.67 | V_x_2 = V_y_2 ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_leI,axiom,
% 14.69/14.67 ! [V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_not__leE,axiom,
% 14.69/14.67 ! [V_x,V_y,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_linorder__antisym__conv1,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 14.69/14.67 <=> V_x_2 = V_y_2 ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__neq__le__trans,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( V_a != V_b
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_xt1_I12_J,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( V_a != V_b
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_leD,axiom,
% 14.69/14.67 ! [V_x,V_y,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 14.69/14.67 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__less__imp__le,axiom,
% 14.69/14.67 ! [V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Opreorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_linorder__antisym__conv2,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Orderings_Olinorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 14.69/14.67 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 14.69/14.67 <=> V_x_2 = V_y_2 ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__le__imp__less__or__eq,axiom,
% 14.69/14.67 ! [V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.69/14.67 | V_x = V_y ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__le__neq__trans,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.67 => ( V_a != V_b
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_xt1_I11_J,axiom,
% 14.69/14.67 ! [V_a,V_b,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 14.69/14.67 => ( V_a != V_b
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__less__le__trans,axiom,
% 14.69/14.67 ! [V_z,V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Opreorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_xt1_I7_J,axiom,
% 14.69/14.67 ! [V_z,V_x,V_y,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_order__le__less__trans,axiom,
% 14.69/14.67 ! [V_z,V_y,V_x,T_a] :
% 14.69/14.67 ( class_Orderings_Opreorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_xt1_I8_J,axiom,
% 14.69/14.67 ! [V_z,V_x,V_y,T_a] :
% 14.69/14.67 ( class_Orderings_Oorder(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_compl__le__compl__iff,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Lattices_Oboolean__algebra(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 14.69/14.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_number__of1,axiom,
% 14.69/14.67 ! [V_n] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_n))
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(V_n)))
% 14.69/14.67 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(V_n))) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 14.69/14.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_s1m,axiom,
% 14.69/14.67 ! [V_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z),v_r)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),V_z))) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_number__of2,axiom,
% 14.69/14.67 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OPls)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096,axiom,
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r)
% 14.69/14.67 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_wr,axiom,
% 14.69/14.67 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),v_r) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_s,axiom,
% 14.69/14.67 ! [B_y] :
% 14.69/14.67 ( ? [B_x] :
% 14.69/14.67 ( ? [B_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
% 14.69/14.67 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) )
% 14.69/14.67 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x) )
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,v_s____) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_less__fun__def,axiom,
% 14.69/14.67 ! [V_ga_2,V_fa_2,T_a,T_b] :
% 14.69/14.67 ( class_Orderings_Oord(T_b)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_fa_2,V_ga_2)
% 14.69/14.67 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_fa_2,V_ga_2)
% 14.69/14.67 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_ga_2,V_fa_2) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__le__antisym,axiom,
% 14.69/14.67 ! [V_w,V_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
% 14.69/14.67 => V_z = V_w ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__le__trans,axiom,
% 14.69/14.67 ! [V_k,V_j,V_i] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__le__linear,axiom,
% 14.69/14.67 ! [V_w,V_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 14.69/14.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__le__refl,axiom,
% 14.69/14.67 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 14.69/14.67 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)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096,axiom,
% 14.69/14.67 ( ? [B_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
% 14.69/14.67 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) )
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_s1,axiom,
% 14.69/14.67 ! [V_y_2] :
% 14.69/14.67 ( ? [B_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
% 14.69/14.67 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)),V_y_2) )
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),V_y_2) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096,axiom,
% 14.69/14.67 ! [V_y_2] :
% 14.69/14.67 ( ? [B_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
% 14.69/14.67 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)))),V_y_2) )
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),V_y_2) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_mth2,axiom,
% 14.69/14.67 ? [B_z] :
% 14.69/14.67 ! [B_x] :
% 14.69/14.67 ( ? [B_za] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_za),v_r)
% 14.69/14.67 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_za)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) )
% 14.69/14.67 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,B_z) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_calculation,axiom,
% 14.69/14.67 ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r)
% 14.69/14.67 => ? [B_z] :
% 14.69/14.67 ! [B_w] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_w),v_r)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_w))) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096,axiom,
% 14.69/14.67 ! [V_x_2,V_z_2] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z_2),v_r)
% 14.69/14.67 => ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),V_z_2)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_complex__mod__minus__le__complex__mod,axiom,
% 14.69/14.67 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096,axiom,
% 14.69/14.67 ? [B_s] :
% 14.69/14.67 ! [B_y] :
% 14.69/14.67 ( ? [B_x] :
% 14.69/14.67 ( ? [B_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
% 14.69/14.67 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) )
% 14.69/14.67 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_x) )
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,B_s) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_mth1,axiom,
% 14.69/14.67 ? [B_x,B_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
% 14.69/14.67 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,B_x) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_tsub__def,axiom,
% 14.69/14.67 ! [V_x,V_y] :
% 14.69/14.67 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 14.69/14.67 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) )
% 14.69/14.67 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 14.69/14.67 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_one__reorient,axiom,
% 14.69/14.67 ! [V_x_2,T_a] :
% 14.69/14.67 ( class_Groups_Oone(T_a)
% 14.69/14.67 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 14.69/14.67 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_norm__one,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 14.69/14.67 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_poly__1,axiom,
% 14.69/14.67 ! [V_x,T_a] :
% 14.69/14.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.67 => 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) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_zero__neq__one,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Rings_Ozero__neq__one(T_a)
% 14.69/14.67 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_one__neq__zero,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Rings_Ozero__neq__one(T_a)
% 14.69/14.67 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_divide__1,axiom,
% 14.69/14.67 ! [V_a,T_a] :
% 14.69/14.67 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.67 => c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_abs__one,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.67 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__zero__not__eq__one,axiom,
% 14.69/14.67 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_not__one__le__zero,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.67 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_zero__le__one,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_zero__less__one,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_not__one__less__zero,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.67 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_right__inverse__eq,axiom,
% 14.69/14.67 ! [V_a_2,V_b_2,T_a] :
% 14.69/14.67 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.67 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.67 => ( c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_b_2) = c_Groups_Oone__class_Oone(T_a)
% 14.69/14.67 <=> V_a_2 = V_b_2 ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_divide__self,axiom,
% 14.69/14.67 ! [V_a,T_a] :
% 14.69/14.67 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.67 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.67 => c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_divide__self__if,axiom,
% 14.69/14.67 ! [V_a,T_a] :
% 14.69/14.67 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 14.69/14.67 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.67 => c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 14.69/14.67 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.67 => c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_numeral__1__eq__1,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 => c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_semiring__norm_I110_J,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 => c_Groups_Oone__class_Oone(T_a) = c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit1(c_Int_OPls)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 14.69/14.67 ! [V_y,V_x] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_tsub__eq,axiom,
% 14.69/14.67 ! [V_x,V_y] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 14.69/14.67 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_le__special_I4_J,axiom,
% 14.69/14.67 ! [V_x_2,T_a] :
% 14.69/14.67 ( ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 & class_Rings_Olinordered__idom(T_a) )
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_x_2,c_Int_OBit1(c_Int_OPls)) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_le__special_I2_J,axiom,
% 14.69/14.67 ! [V_y_2,T_a] :
% 14.69/14.67 ( ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 & class_Rings_Olinordered__idom(T_a) )
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),V_y_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_less__special_I4_J,axiom,
% 14.69/14.67 ! [V_x_2,T_a] :
% 14.69/14.67 ( ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 & class_Rings_Olinordered__idom(T_a) )
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,c_Int_OBit1(c_Int_OPls)) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_less__special_I2_J,axiom,
% 14.69/14.67 ! [V_y_2,T_a] :
% 14.69/14.67 ( ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 & class_Rings_Olinordered__idom(T_a) )
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),V_y_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_half,axiom,
% 14.69/14.67 ! [T_a] :
% 14.69/14.67 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 14.69/14.67 & class_Int_Onumber__ring(T_a) )
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_power2__less__imp__less,axiom,
% 14.69/14.67 ! [V_y,V_x,T_a] :
% 14.69/14.67 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(T_a,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_g_I2_J,axiom,
% 14.69/14.67 ! [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(B_n))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))))) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_poly__bound__exists,axiom,
% 14.69/14.67 ! [V_p,V_r] :
% 14.69/14.67 ? [B_m] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)
% 14.69/14.67 & ! [B_z] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),V_r)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),B_z)),B_m) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_lemma__real__divide__sqrt__less,axiom,
% 14.69/14.67 ! [V_u] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_u)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_u,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),V_u) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_lessI,axiom,
% 14.69/14.67 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Suc__mono,axiom,
% 14.69/14.67 ! [V_n,V_m] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_zero__less__Suc,axiom,
% 14.69/14.67 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__of__nat__ge__zero,axiom,
% 14.69/14.67 ! [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)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__eq__1__iff,axiom,
% 14.69/14.67 ! [V_x_2] :
% 14.69/14.67 ( c_NthRoot_Osqrt(V_x_2) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 14.69/14.67 <=> V_x_2 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__one,axiom,
% 14.69/14.67 c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__of__nat__Suc,axiom,
% 14.69/14.67 ! [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)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__of__nat__1,axiom,
% 14.69/14.67 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_One__nat__def,axiom,
% 14.69/14.67 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__of__nat__one,axiom,
% 14.69/14.67 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) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_diff__Suc__1,axiom,
% 14.69/14.67 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 14.69/14.67
% 14.69/14.67 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 14.69/14.67 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_norm__power__ineq,axiom,
% 14.69/14.67 ! [V_n,V_x,T_a] :
% 14.69/14.67 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Power_Opower__class_Opower(T_a,V_x,V_n)),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_n)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_norm__triangle__ineq,axiom,
% 14.69/14.67 ! [V_y,V_x,T_a] :
% 14.69/14.67 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_RealVector_Onorm__class_Onorm(T_a,V_y))) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__le__mono,axiom,
% 14.69/14.67 ! [V_y,V_x] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__le__iff,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x_2),c_NthRoot_Osqrt(V_y_2))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_realpow__two__disj,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.67 ( class_Rings_Oidom(T_a)
% 14.69/14.67 => ( c_Power_Opower__class_Opower(T_a,V_x_2,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Power_Opower__class_Opower(T_a,V_y_2,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 14.69/14.67 <=> ( V_x_2 = V_y_2
% 14.69/14.67 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__number__of__diff1,axiom,
% 14.69/14.67 ! [V_c,V_w,V_v,T_a] :
% 14.69/14.67 ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_c)) = c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)),V_c) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__eq__0__iff,axiom,
% 14.69/14.67 ! [V_x_2] :
% 14.69/14.67 ( c_NthRoot_Osqrt(V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.67 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__zero,axiom,
% 14.69/14.67 c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_n__not__Suc__n,axiom,
% 14.69/14.67 ! [V_n] : V_n != c_Nat_OSuc(V_n) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Suc__n__not__n,axiom,
% 14.69/14.67 ! [V_n] : c_Nat_OSuc(V_n) != V_n ).
% 14.69/14.67
% 14.69/14.67 fof(fact_nat_Oinject,axiom,
% 14.69/14.67 ! [V_nat_H_2,V_nat_2] :
% 14.69/14.67 ( c_Nat_OSuc(V_nat_2) = c_Nat_OSuc(V_nat_H_2)
% 14.69/14.67 <=> V_nat_2 = V_nat_H_2 ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_poly__power,axiom,
% 14.69/14.67 ! [V_x,V_n,V_p,T_a] :
% 14.69/14.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.67 => hAPP(c_Polynomial_Opoly(T_a,c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a),V_p,V_n)),V_x) = c_Power_Opower__class_Opower(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),V_n) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_poly__add,axiom,
% 14.69/14.67 ! [V_x,V_q,V_p,T_a] :
% 14.69/14.67 ( class_Rings_Ocomm__semiring__0(T_a)
% 14.69/14.67 => 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)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Suc__inject,axiom,
% 14.69/14.67 ! [V_y,V_x] :
% 14.69/14.67 ( c_Nat_OSuc(V_x) = c_Nat_OSuc(V_y)
% 14.69/14.67 => V_x = V_y ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__of__nat__power,axiom,
% 14.69/14.67 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,V_m,V_n)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),V_n) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_power__real__of__nat,axiom,
% 14.69/14.67 ! [V_n,V_m] : c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),V_n) = c_RealDef_Oreal(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,V_m,V_n)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__of__nat__inject,axiom,
% 14.69/14.67 ! [V_m_2,V_n_2] :
% 14.69/14.67 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_RealDef_Oreal(tc_Nat_Onat,V_m_2)
% 14.69/14.67 <=> V_n_2 = V_m_2 ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_norm__power,axiom,
% 14.69/14.67 ! [V_n,V_x,T_a] :
% 14.69/14.67 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 14.69/14.67 => c_RealVector_Onorm__class_Onorm(T_a,c_Power_Opower__class_Opower(T_a,V_x,V_n)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_n) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_number__of__add,axiom,
% 14.69/14.67 ! [V_w,V_v,T_a] :
% 14.69/14.67 ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 => c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)) = c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__number__of__eq,axiom,
% 14.69/14.67 ! [V_w,V_v,T_a] :
% 14.69/14.67 ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__number__of__left,axiom,
% 14.69/14.67 ! [V_z,V_w,V_v,T_a] :
% 14.69/14.67 ( class_Int_Onumber__ring(T_a)
% 14.69/14.67 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_z)) = c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)),V_z) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__power,axiom,
% 14.69/14.67 ! [V_k,V_x] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,V_k)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x),V_k) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__eq__iff,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2] :
% 14.69/14.67 ( c_NthRoot_Osqrt(V_x_2) = c_NthRoot_Osqrt(V_y_2)
% 14.69/14.67 <=> V_x_2 = V_y_2 ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oab__semigroup__add(T_a)
% 14.69/14.67 => 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)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__left__cancel,axiom,
% 14.69/14.67 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 14.69/14.67 ( class_Groups_Ocancel__semigroup__add(T_a)
% 14.69/14.67 => ( 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)
% 14.69/14.67 <=> V_b_2 = V_c_2 ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__right__cancel,axiom,
% 14.69/14.67 ! [V_c_2,V_a_2,V_b_2,T_a] :
% 14.69/14.67 ( class_Groups_Ocancel__semigroup__add(T_a)
% 14.69/14.67 => ( 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)
% 14.69/14.67 <=> V_b_2 = V_c_2 ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__left__imp__eq,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ocancel__semigroup__add(T_a)
% 14.69/14.67 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 14.69/14.67 => V_b = V_c ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__imp__eq,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 14.69/14.67 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 14.69/14.67 => V_b = V_c ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__right__imp__eq,axiom,
% 14.69/14.67 ! [V_c,V_a,V_b,T_a] :
% 14.69/14.67 ( class_Groups_Ocancel__semigroup__add(T_a)
% 14.69/14.67 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)
% 14.69/14.67 => V_b = V_c ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__less__imp__less__left,axiom,
% 14.69/14.67 ! [V_b,V_a,V_c,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__less__imp__less__right,axiom,
% 14.69/14.67 ! [V_b,V_c,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__strict__mono,axiom,
% 14.69/14.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 14.69/14.67 => 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)) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__strict__left__mono,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.67 => 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)) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__strict__right__mono,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.67 => 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)) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__less__cancel__left,axiom,
% 14.69/14.67 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__less__cancel__right,axiom,
% 14.69/14.67 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__minus,axiom,
% 14.69/14.67 ! [V_x] : c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__le__imp__le__left,axiom,
% 14.69/14.67 ! [V_b,V_a,V_c,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__le__imp__le__right,axiom,
% 14.69/14.67 ! [V_b,V_c,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__mono,axiom,
% 14.69/14.67 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 14.69/14.67 => 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)) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__left__mono,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.67 => 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)) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__right__mono,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.67 => 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)) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__le__cancel__left,axiom,
% 14.69/14.67 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__le__cancel__right,axiom,
% 14.69/14.67 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 14.69/14.67 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 14.69/14.67 => ( 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))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_double__eq__0__iff,axiom,
% 14.69/14.67 ! [V_a_2,T_a] :
% 14.69/14.67 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.69/14.67 => ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.67 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add_Ocomm__neutral,axiom,
% 14.69/14.67 ! [V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 14.69/14.67 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__0__right,axiom,
% 14.69/14.67 ! [V_a,T_a] :
% 14.69/14.67 ( class_Groups_Omonoid__add(T_a)
% 14.69/14.67 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_double__zero__sym,axiom,
% 14.69/14.67 ! [V_a_2,T_a] :
% 14.69/14.67 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.69/14.67 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)
% 14.69/14.67 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__0,axiom,
% 14.69/14.67 ! [V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 14.69/14.67 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__0__left,axiom,
% 14.69/14.67 ! [V_a,T_a] :
% 14.69/14.67 ( class_Groups_Omonoid__add(T_a)
% 14.69/14.67 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__divide,axiom,
% 14.69/14.67 ! [V_y,V_x] : c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,V_y)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y)) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__less__iff,axiom,
% 14.69/14.67 ! [V_y_2,V_x_2] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x_2),c_NthRoot_Osqrt(V_y_2))
% 14.69/14.67 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__sqrt__less__mono,axiom,
% 14.69/14.67 ! [V_y,V_x] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_norm__add__less,axiom,
% 14.69/14.67 ! [V_s,V_y,V_r,V_x,T_a] :
% 14.69/14.67 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 14.69/14.67 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 14.69/14.67 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,V_s)) ) ) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__of__nat__Suc__gt__zero,axiom,
% 14.69/14.67 ! [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))) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_diff__add__cancel,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.67 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__diff__cancel,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.67 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_minus__add__distrib,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Oab__group__add(T_a)
% 14.69/14.67 => 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)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_minus__add,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.67 => 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)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__minus__cancel,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.67 => 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 ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_minus__add__cancel,axiom,
% 14.69/14.67 ! [V_b,V_a,T_a] :
% 14.69/14.67 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.67 => 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 ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Zero__not__Suc,axiom,
% 14.69/14.67 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_nat_Osimps_I2_J,axiom,
% 14.69/14.67 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_nat_H) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Suc__not__Zero,axiom,
% 14.69/14.67 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_nat_Osimps_I3_J,axiom,
% 14.69/14.67 ! [V_nat_H_1] : c_Nat_OSuc(V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Zero__neq__Suc,axiom,
% 14.69/14.67 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_Suc__neq__Zero,axiom,
% 14.69/14.67 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_add__divide__distrib,axiom,
% 14.69/14.67 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.67 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.67 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_divide_Oadd,axiom,
% 14.69/14.67 ! [V_ya,V_y,V_x,T_a] :
% 14.69/14.67 ( class_RealVector_Oreal__normed__field(T_a)
% 14.69/14.67 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y),V_ya) = c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_ya),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_ya)) ) ).
% 14.69/14.67
% 14.69/14.67 fof(fact_real__add__left__mono,axiom,
% 14.69/14.67 ! [V_z,V_y,V_x] :
% 14.69/14.67 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 14.69/14.68 => 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)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_not__less__eq,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__Suc__eq,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 14.69/14.68 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 14.69/14.68 | V_m_2 = V_n_2 ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__less__eq,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m_2),c_Nat_OSuc(V_n_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_not__less__less__Suc__eq,axiom,
% 14.69/14.68 ! [V_m_2,V_n_2] :
% 14.69/14.68 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2))
% 14.69/14.68 <=> V_n_2 = V_m_2 ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__antisym,axiom,
% 14.69/14.68 ! [V_m,V_n] :
% 14.69/14.68 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m))
% 14.69/14.68 => V_m = V_n ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__SucI,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__lessI,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => ( c_Nat_OSuc(V_m) != V_n
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__trans__Suc,axiom,
% 14.69/14.68 ! [V_k,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__SucE,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 14.69/14.68 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => V_m = V_n ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__lessD,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__less__SucD,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__add__abs,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.69/14.68 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__real__of__nat__cancel,axiom,
% 14.69/14.68 ! [V_x] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x)) = c_RealDef_Oreal(tc_Nat_Onat,V_x) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__leD,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__SucE,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))
% 14.69/14.68 => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => V_m = c_Nat_OSuc(V_n) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__SucI,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__le__mono,axiom,
% 14.69/14.68 ! [V_m_2,V_n_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),c_Nat_OSuc(V_m_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__Suc__eq,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 14.69/14.68 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 14.69/14.68 | V_m_2 = c_Nat_OSuc(V_n_2) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_not__less__eq__eq,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_m_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__n__not__le__n,axiom,
% 14.69/14.68 ! [V_n] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n),V_n) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__Suc__Suc,axiom,
% 14.69/14.68 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__diff__diff,axiom,
% 14.69/14.68 ! [V_k,V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n),c_Nat_OSuc(V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_k) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_int__0__neq__1,axiom,
% 14.69/14.68 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_realpow__Suc__le__self,axiom,
% 14.69/14.68 ! [V_n,V_r,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_r)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_r,c_Groups_Oone__class_Oone(T_a))
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,c_Power_Opower__class_Opower(T_a,V_r,c_Nat_OSuc(V_n)),V_r) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__less__real__le,axiom,
% 14.69/14.68 ! [V_m_2,V_n_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 14.69/14.68 <=> 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)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__le__real__less,axiom,
% 14.69/14.68 ! [V_m_2,V_n_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2)
% 14.69/14.68 <=> 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))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_norm__diff__triangle__ineq,axiom,
% 14.69/14.68 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.68 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__number__of__diff2,axiom,
% 14.69/14.68 ! [V_w,V_c,V_v,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Ominus__class_Ominus(T_a,V_c,c_Int_Onumber__class_Onumber__of(T_a,V_w))) = c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w))),V_c) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__pred_H,axiom,
% 14.69/14.68 ! [V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 14.69/14.68 => V_n = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__diff__1,axiom,
% 14.69/14.68 ! [V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 14.69/14.68 => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__sum__squares__triangle__ineq,axiom,
% 14.69/14.68 ! [V_d,V_b,V_c,V_a] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a,V_c),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_b,V_d),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_a,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_b,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_c,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_d,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__sum__squares__ge2,axiom,
% 14.69/14.68 ! [V_x,V_y] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__sum__squares__ge1,axiom,
% 14.69/14.68 ! [V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__sum__squares__eq__cancel,axiom,
% 14.69/14.68 ! [V_y,V_x] :
% 14.69/14.68 ( c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) = V_x
% 14.69/14.68 => V_y = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__sum__squares__eq__cancel2,axiom,
% 14.69/14.68 ! [V_y,V_x] :
% 14.69/14.68 ( c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) = V_y
% 14.69/14.68 => V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__sum__squares__ge__zero,axiom,
% 14.69/14.68 ! [V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__ge__abs1,axiom,
% 14.69/14.68 ! [V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__ge__abs2,axiom,
% 14.69/14.68 ! [V_x,V_y] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_y),c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_lemma__NBseq__def2,axiom,
% 14.69/14.68 ! [V_X_2,T_b] :
% 14.69/14.68 ( class_RealVector_Oreal__normed__vector(T_b)
% 14.69/14.68 => ( ? [B_K] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 14.69/14.68 & ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),B_K) )
% 14.69/14.68 <=> ? [B_N] :
% 14.69/14.68 ! [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_lemma__NBseq__def,axiom,
% 14.69/14.68 ! [V_X_2,T_b] :
% 14.69/14.68 ( class_RealVector_Oreal__normed__vector(T_b)
% 14.69/14.68 => ( ? [B_K] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 14.69/14.68 & ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),B_K) )
% 14.69/14.68 <=> ? [B_N] :
% 14.69/14.68 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__special_I3_J,axiom,
% 14.69/14.68 ! [V_v,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Oone__class_Oone(T_a)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,c_Int_OBit1(c_Int_OPls))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__special_I2_J,axiom,
% 14.69/14.68 ! [V_w,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),V_w)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__ge__0__iff,axiom,
% 14.69/14.68 ! [V_y_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__le__0__iff,axiom,
% 14.69/14.68 ! [V_x_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__ge__zero,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__eq__zero__cancel,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 14.69/14.68 => ( c_NthRoot_Osqrt(V_x) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.68 => V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__gt__0__iff,axiom,
% 14.69/14.68 ! [V_y_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__lt__0__iff,axiom,
% 14.69/14.68 ! [V_x_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__not__eq__zero,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 14.69/14.68 => c_NthRoot_Osqrt(V_x) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__gt__zero,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__ge__one,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__le__1__iff,axiom,
% 14.69/14.68 ! [V_x_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__ge__1__iff,axiom,
% 14.69/14.68 ! [V_y_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_y_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__lt__1__iff,axiom,
% 14.69/14.68 ! [V_x_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__gt__1__iff,axiom,
% 14.69/14.68 ! [V_y_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_y_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__of__nat__zero__iff,axiom,
% 14.69/14.68 ! [V_n_2] :
% 14.69/14.68 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.68 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__of__nat__zero,axiom,
% 14.69/14.68 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_not__real__of__nat__less__zero,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_expand__Suc,axiom,
% 14.69/14.68 ! [V_v] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))
% 14.69/14.68 => c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__of__nat__less__iff,axiom,
% 14.69/14.68 ! [V_m_2,V_n_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__nonpos__nonpos,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__increasing2,axiom,
% 14.69/14.68 ! [V_a,V_b,V_c,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__increasing,axiom,
% 14.69/14.68 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__nonneg__eq__0__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2)
% 14.69/14.68 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__nonneg__nonneg,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 14.69/14.68 ! [V_a_2,T_a] :
% 14.69/14.68 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.69/14.68 => ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 14.69/14.68 ! [V_a_2,T_a] :
% 14.69/14.68 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.69/14.68 => ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 14.69/14.68 ! [V_a_2,T_a] :
% 14.69/14.68 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.69/14.68 => ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 14.69/14.68 ! [V_a_2,T_a] :
% 14.69/14.68 ( class_Groups_Olinordered__ab__group__add(T_a)
% 14.69/14.68 => ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__pos__pos,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_pos__add__strict,axiom,
% 14.69/14.68 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__neg__neg,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_even__less__0__iff,axiom,
% 14.69/14.68 ! [V_a_2,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__of__nat__le__iff,axiom,
% 14.69/14.68 ! [V_m_2,V_n_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_m_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__le__less__mono,axiom,
% 14.69/14.68 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__less__le__mono,axiom,
% 14.69/14.68 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__add__one,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.68 => 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))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_right__minus,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.68 => 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) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 14.69/14.68 ! [V_b_2,V_a_2,T_a] :
% 14.69/14.68 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.68 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 14.69/14.68 <=> c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_left__minus,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.68 => 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) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_ab__left__minus,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oab__group__add(T_a)
% 14.69/14.68 => 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) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_minus__unique,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.68 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__eq__0__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.68 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.68 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__def,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_ab__diff__minus,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oab__group__add(T_a)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__minus__eq__add,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Ogroup__add(T_a)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__numeral__0__right,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls)) = V_a ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__numeral__0,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls),V_a) = V_a ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 14.69/14.68 ! [V_n,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,V_x,V_n)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__triangle__ineq,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_gr0__conv__Suc,axiom,
% 14.69/14.68 ! [V_n_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)
% 14.69/14.68 <=> ? [B_m] : V_n_2 = c_Nat_OSuc(B_m) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__Suc0,axiom,
% 14.69/14.68 ! [V_n_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 14.69/14.68 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__Suc__eq__0__disj,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 14.69/14.68 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.68 | ? [B_j] :
% 14.69/14.68 ( V_m_2 = c_Nat_OSuc(B_j)
% 14.69/14.68 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_n_2) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__le__lessD,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__less__Suc__eq,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_m_2))
% 14.69/14.68 <=> V_n_2 = V_m_2 ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__leI,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__imp__less__Suc,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__le__eq,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m_2),V_n_2)
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__Suc__eq__le,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,c_Nat_OSuc(V_n_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__eq__Suc__le,axiom,
% 14.69/14.68 ! [V_m_2,V_n_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_m_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__less__Suc,axiom,
% 14.69/14.68 ! [V_n,V_m] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),c_Nat_OSuc(V_m)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__diff__le,axiom,
% 14.69/14.68 ! [V_m,V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__add__eq__0__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2] :
% 14.69/14.68 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.68 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__add__minus__iff,axiom,
% 14.69/14.68 ! [V_a_2,V_x_2] :
% 14.69/14.68 ( 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)
% 14.69/14.68 <=> V_x_2 = V_a_2 ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 14.69/14.68 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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_int__0__less__1,axiom,
% 14.69/14.68 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__diff__def,axiom,
% 14.69/14.68 ! [V_s,V_r] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_r,V_s) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_s)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_minus__real__def,axiom,
% 14.69/14.68 ! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__minus__add__cancel,axiom,
% 14.69/14.68 ! [V_y,V_x] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__abs,axiom,
% 14.69/14.68 ! [V_x] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_sum__power2__eq__zero__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => ( c_Groups_Oplus__class_Oplus(T_a,c_Power_Opower__class_Opower(T_a,V_x_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(T_a,V_y_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_two__realpow__gt,axiom,
% 14.69/14.68 ! [V_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),V_n)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_realpow__two__sum__zero__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2] :
% 14.69/14.68 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.68 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.68 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__sum__squares__less,axiom,
% 14.69/14.68 ! [V_y,V_u,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_u,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_y),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_u,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),V_u) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_subseq__Suc__iff,axiom,
% 14.69/14.68 ! [V_fa_2] :
% 14.69/14.68 ( c_SEQ_Osubseq(V_fa_2)
% 14.69/14.68 <=> ! [B_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_fa_2,B_n),hAPP(V_fa_2,c_Nat_OSuc(B_n))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__pow2__iff,axiom,
% 14.69/14.68 ! [V_x_2] :
% 14.69/14.68 ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_x_2
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__pow2,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 14.69/14.68 => c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_x ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__unique,axiom,
% 14.69/14.68 ! [V_x,V_y] :
% 14.69/14.68 ( c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_x
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 14.69/14.68 => c_NthRoot_Osqrt(V_x) = V_y ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__pow2__gt__zero,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_lemma__sqrt__hcomplex__capprox,axiom,
% 14.69/14.68 ! [V_y,V_x,V_u] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_u)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_u,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_u,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),V_u) ) ) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_sum__power2__ge__zero,axiom,
% 14.69/14.68 ! [V_y,V_x,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Power_Opower__class_Opower(T_a,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(T_a,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_sum__power2__le__zero__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Power_Opower__class_Opower(T_a,V_x_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(T_a,V_y_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_not__sum__power2__lt__zero,axiom,
% 14.69/14.68 ! [V_y,V_x,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Power_Opower__class_Opower(T_a,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(T_a,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_sum__power2__gt__zero__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Power_Opower__class_Opower(T_a,V_x_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(T_a,V_y_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 14.69/14.68 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__of__nat__le__zero__cancel__iff,axiom,
% 14.69/14.68 ! [V_n_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__pos__nonneg,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__nonneg__pos,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__strict__increasing,axiom,
% 14.69/14.68 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__strict__increasing2,axiom,
% 14.69/14.68 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__neg__nonpos,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__nonpos__neg,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.68 => 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)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__less__two,axiom,
% 14.69/14.68 ! [T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.68 => 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))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_number__of__Bit0,axiom,
% 14.69/14.68 ! [V_w,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit0(V_w)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w)),c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__half__sum,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Fields_Olinordered__field(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a)))) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_gt__half__sum,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Fields_Olinordered__field(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_b) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_number__of__Bit1,axiom,
% 14.69/14.68 ! [V_w,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit1(V_w)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w)),c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__triangle__ineq4,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__diff__triangle__ineq,axiom,
% 14.69/14.68 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__of__nat__diff,axiom,
% 14.69/14.68 ! [V_m,V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 14.69/14.68 => c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_norm__triangle__ineq4,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__pred,axiom,
% 14.69/14.68 ! [V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 14.69/14.68 => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__Suc__less,axiom,
% 14.69/14.68 ! [V_i,V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(V_i)),V_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__le__zpower__abs,axiom,
% 14.69/14.68 ! [V_n,V_x] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_x),V_n)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_norm__diff__ineq,axiom,
% 14.69/14.68 ! [V_b,V_a,T_a] :
% 14.69/14.68 ( class_RealVector_Oreal__normed__vector(T_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__0__le__add__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__add__le__0__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__0__less__add__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__add__less__0__iff,axiom,
% 14.69/14.68 ! [V_y_2,V_x_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__add__one__not__less__self,axiom,
% 14.69/14.68 ! [V_x] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Numeral1__eq1__nat,axiom,
% 14.69/14.68 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__numeral__1__eq__1,axiom,
% 14.69/14.68 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__sum__triangle__ineq,axiom,
% 14.69/14.68 ! [V_m,V_l,V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_l),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_m)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_l))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_m))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_one__is__num__one,axiom,
% 14.69/14.68 c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_int__one__le__iff__zero__less,axiom,
% 14.69/14.68 ! [V_za_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_za_2)
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_za_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zle__diff1__eq,axiom,
% 14.69/14.68 ! [V_za_2,V_wa_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_za_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_za_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zabs__less__one__iff,axiom,
% 14.69/14.68 ! [V_za_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_za_2),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 14.69/14.68 <=> V_za_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,
% 14.69/14.68 ! [V_n_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_numeral__1__eq__Suc__0,axiom,
% 14.69/14.68 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_numeral__3__eq__3,axiom,
% 14.69/14.68 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__less__zpower__abs__iff,axiom,
% 14.69/14.68 ! [V_n_2,V_x_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Power_Opower__class_Opower(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_x_2),V_n_2))
% 14.69/14.68 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 14.69/14.68 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__add__one__gt__zero,axiom,
% 14.69/14.68 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__power2,axiom,
% 14.69/14.68 ! [T_a] :
% 14.69/14.68 ( class_Rings_Osemiring__1(T_a)
% 14.69/14.68 => c_Power_Opower__class_Opower(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__eq__power2,axiom,
% 14.69/14.68 ! [V_a_2,T_a] :
% 14.69/14.68 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 14.69/14.68 => ( c_Power_Opower__class_Opower(T_a,V_a_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.68 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_one__power2,axiom,
% 14.69/14.68 ! [T_a] :
% 14.69/14.68 ( class_Rings_Osemiring__1(T_a)
% 14.69/14.68 => c_Power_Opower__class_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_power2__minus,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Rings_Oring__1(T_a)
% 14.69/14.68 => c_Power_Opower__class_Opower(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(T_a,V_a,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_abs__power2,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => c_Groups_Oabs__class_Oabs(T_a,c_Power_Opower__class_Opower(T_a,V_a,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(T_a,V_a,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_power2__abs,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => c_Power_Opower__class_Opower(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(T_a,V_a,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_one__add__one__is__two,axiom,
% 14.69/14.68 ! [T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_semiring__norm_I115_J,axiom,
% 14.69/14.68 c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_numeral__2__eq__2,axiom,
% 14.69/14.68 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 14.69/14.68 ! [V_m,V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),V_n)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OPls)))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__two__ge__zero,axiom,
% 14.69/14.68 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__two__gt__zero,axiom,
% 14.69/14.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sqrt__two__gt__one,axiom,
% 14.69/14.68 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__le__power2,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(T_a,V_a,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_power2__le__imp__le,axiom,
% 14.69/14.68 ! [V_y,V_x,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Power_Opower__class_Opower(T_a,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(T_a,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_power2__eq__imp__eq,axiom,
% 14.69/14.68 ! [V_y,V_x,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.68 => ( c_Power_Opower__class_Opower(T_a,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(T_a,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 14.69/14.68 => V_x = V_y ) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_power2__less__0,axiom,
% 14.69/14.68 ! [V_a,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => ~ c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_a,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zero__less__power2,axiom,
% 14.69/14.68 ! [V_a_2,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(T_a,V_a_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 14.69/14.68 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_power2__eq__1__iff,axiom,
% 14.69/14.68 ! [V_a_2,T_a] :
% 14.69/14.68 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 14.69/14.68 => ( c_Power_Opower__class_Opower(T_a,V_a_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a)
% 14.69/14.68 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_a)
% 14.69/14.68 | V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__2__cases,axiom,
% 14.69/14.68 ! [V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 14.69/14.68 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.68 | V_n = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_two__realpow__ge__one,axiom,
% 14.69/14.68 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),V_n)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_realpow__square__minus__le,axiom,
% 14.69/14.68 ! [V_x,V_u] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_u,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__less__half__sum,axiom,
% 14.69/14.68 ! [V_y,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__gt__half__sum,axiom,
% 14.69/14.68 ! [V_y,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_y) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_th,axiom,
% 14.69/14.68 ! [B_n] :
% 14.69/14.68 ? [B_z] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
% 14.69/14.68 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096,axiom,
% 14.69/14.68 ? [B_f] :
% 14.69/14.68 ! [B_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(B_f,B_x)),v_r)
% 14.69/14.68 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(B_f,B_x))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_x))))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096,axiom,
% 14.69/14.68 ! [V_n_2] :
% 14.69/14.68 ? [B_z] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r)
% 14.69/14.68 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_z)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n_2))))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_cos__x__y__le__one,axiom,
% 14.69/14.68 ! [V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__average__minus__first,axiom,
% 14.69/14.68 ! [V_b,V_a] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a,V_b),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_b,V_a),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zless__add1__eq,axiom,
% 14.69/14.68 ! [V_za_2,V_wa_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_za_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 14.69/14.68 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_za_2)
% 14.69/14.68 | V_wa_2 = V_za_2 ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__eq__plus1,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc__eq__plus1__left,axiom,
% 14.69/14.68 ! [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) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Bit1__def,axiom,
% 14.69/14.68 ! [V_k] : c_Int_OBit1(V_k) = 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_k),V_k) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_odd__nonzero,axiom,
% 14.69/14.68 ! [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) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__Suc__ex__iff,axiom,
% 14.69/14.68 ! [V_l_2,V_k_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_l_2)
% 14.69/14.68 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,B_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__Suc__right,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__Suc,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__Suc__shift,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__commute,axiom,
% 14.69/14.68 ! [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) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__left__commute,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__assoc,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_plus__nat_Oadd__0,axiom,
% 14.69/14.68 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Nat_Oadd__0__right,axiom,
% 14.69/14.68 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__is__0,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.68 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.68 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__eq__self__zero,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m
% 14.69/14.68 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__0,axiom,
% 14.69/14.68 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__0__right,axiom,
% 14.69/14.68 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__Pls,axiom,
% 14.69/14.68 ! [V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,V_k) = V_k ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__Pls__right,axiom,
% 14.69/14.68 ! [V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,c_Int_OPls) = V_k ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Bit0__def,axiom,
% 14.69/14.68 ! [V_k] : c_Int_OBit0(V_k) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_k) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__Bit0__Bit0,axiom,
% 14.69/14.68 ! [V_l,V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(V_k),c_Int_OBit0(V_l)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_l)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_termination__basic__simps_I2_J,axiom,
% 14.69/14.68 ! [V_y,V_z,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_termination__basic__simps_I1_J,axiom,
% 14.69/14.68 ! [V_z,V_y,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_not__add__less1,axiom,
% 14.69/14.68 ! [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) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_not__add__less2,axiom,
% 14.69/14.68 ! [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) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__add__left__cancel__less,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2,V_k_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_trans__less__add1,axiom,
% 14.69/14.68 ! [V_m,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_trans__less__add2,axiom,
% 14.69/14.68 ! [V_m,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__less__mono1,axiom,
% 14.69/14.68 ! [V_k,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => 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)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__less__mono,axiom,
% 14.69/14.68 ! [V_l,V_k,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 14.69/14.68 => 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)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__add__eq__less,axiom,
% 14.69/14.68 ! [V_n,V_m,V_l,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 14.69/14.68 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__lessD1,axiom,
% 14.69/14.68 ! [V_k,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__left__mono,axiom,
% 14.69/14.68 ! [V_k,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 14.69/14.68 => 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)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__strict__right__mono,axiom,
% 14.69/14.68 ! [V_k,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 14.69/14.68 => 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)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_termination__basic__simps_I3_J,axiom,
% 14.69/14.68 ! [V_z,V_y,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_termination__basic__simps_I4_J,axiom,
% 14.69/14.68 ! [V_y,V_z,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__leE,axiom,
% 14.69/14.68 ! [V_n,V_k,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 14.69/14.68 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__leD1,axiom,
% 14.69/14.68 ! [V_n,V_k,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__leD2,axiom,
% 14.69/14.68 ! [V_n,V_k,V_m] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__le__mono,axiom,
% 14.69/14.68 ! [V_l,V_k,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 14.69/14.68 => 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)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__le__mono1,axiom,
% 14.69/14.68 ! [V_k,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => 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)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_trans__le__add2,axiom,
% 14.69/14.68 ! [V_m,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_trans__le__add1,axiom,
% 14.69/14.68 ! [V_m,V_j,V_i] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__add__left__cancel__le,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2,V_k_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__iff__add,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m_2,V_n_2)
% 14.69/14.68 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__add1,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__add2,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_plus__numeral__code_I9_J,axiom,
% 14.69/14.68 ! [V_w,V_v] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__cancel2,axiom,
% 14.69/14.68 ! [V_n,V_k,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__cancel,axiom,
% 14.69/14.68 ! [V_n,V_m,V_k] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__diff__left,axiom,
% 14.69/14.68 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__add__inverse,axiom,
% 14.69/14.68 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n) = V_m ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__add__inverse2,axiom,
% 14.69/14.68 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__poly__code_I1_J,axiom,
% 14.69/14.68 ! [V_q,T_a] :
% 14.69/14.68 ( class_Groups_Ocomm__monoid__add(T_a)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__poly__code_I2_J,axiom,
% 14.69/14.68 ! [V_p,T_a] :
% 14.69/14.68 ( class_Groups_Ocomm__monoid__add(T_a)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zminus__zadd__distrib,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_complex__diff__def,axiom,
% 14.69/14.68 ! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_x,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_y)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__nat__number__of,axiom,
% 14.69/14.68 ! [V_v_H,V_v] :
% 14.69/14.68 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_v,c_Int_OPls)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H) )
% 14.69/14.68 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_v,c_Int_OPls)
% 14.69/14.68 => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_v_H,c_Int_OPls)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v) )
% 14.69/14.68 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_v_H,c_Int_OPls)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_v_H)) ) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__Bit1__Bit0,axiom,
% 14.69/14.68 ! [V_l,V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(V_k),c_Int_OBit0(V_l)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_l)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__Bit0__Bit1,axiom,
% 14.69/14.68 ! [V_l,V_k] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(V_k),c_Int_OBit1(V_l)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_l)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_one__is__add,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( 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)
% 14.69/14.68 <=> ( ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 14.69/14.68 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 14.69/14.68 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.68 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__is__1,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> ( ( V_m_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 14.69/14.68 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 14.69/14.68 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.68 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__gr__0,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)
% 14.69/14.68 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 14.69/14.68 ! [V_y,V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 14.69/14.68 => 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)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__iff__Suc__add,axiom,
% 14.69/14.68 ! [V_n_2,V_m_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)
% 14.69/14.68 <=> ? [B_k] : V_n_2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_2,B_k)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__add__Suc2,axiom,
% 14.69/14.68 ! [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))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__add__Suc1,axiom,
% 14.69/14.68 ! [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))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_odd__less__0,axiom,
% 14.69/14.68 ! [V_za_2] :
% 14.69/14.68 ( 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))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_za_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__zless__mono,axiom,
% 14.69/14.68 ! [V_z,V_z_H,V_w,V_w_H] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z)
% 14.69/14.68 => 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)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zle__add1__eq__le,axiom,
% 14.69/14.68 ! [V_za_2,V_wa_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_za_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_za_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add1__zle__eq,axiom,
% 14.69/14.68 ! [V_za_2,V_wa_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_wa_2,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_za_2)
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_za_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zless__imp__add1__zle,axiom,
% 14.69/14.68 ! [V_z,V_w] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)
% 14.69/14.68 => 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) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__add__0,axiom,
% 14.69/14.68 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__diff__inverse,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__diff__conv,axiom,
% 14.69/14.68 ! [V_k_2,V_j_2,V_i_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__add__assoc2,axiom,
% 14.69/14.68 ! [V_i,V_j,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__diff__assoc2,axiom,
% 14.69/14.68 ! [V_i,V_j,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__add__assoc,axiom,
% 14.69/14.68 ! [V_i,V_j,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__imp__diff__is__add,axiom,
% 14.69/14.68 ! [V_k_2,V_j_2,V_i_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 14.69/14.68 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_k_2
% 14.69/14.68 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_i_2) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__add__diff__inverse2,axiom,
% 14.69/14.68 ! [V_m,V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__diff__conv2,axiom,
% 14.69/14.68 ! [V_i_2,V_j_2,V_k_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_j_2)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2))
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__diff__assoc,axiom,
% 14.69/14.68 ! [V_i,V_j,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__add__diff__inverse,axiom,
% 14.69/14.68 ! [V_m,V_n] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__add__diff,axiom,
% 14.69/14.68 ! [V_m,V_n,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_k)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__diff__conv,axiom,
% 14.69/14.68 ! [V_i_2,V_k_2,V_j_2] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2),V_i_2)
% 14.69/14.68 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__diff__right,axiom,
% 14.69/14.68 ! [V_i,V_j,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_zadd__zminus__inverse2,axiom,
% 14.69/14.68 ! [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) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__of__nat__add,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__int__def__symmetric,axiom,
% 14.69/14.68 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__int__def,axiom,
% 14.69/14.68 ! [V_w,V_z] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__number__of__eq,axiom,
% 14.69/14.68 ! [V_w,V_v,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_le__imp__0__less,axiom,
% 14.69/14.68 ! [V_z] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)
% 14.69/14.68 => 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)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__eq__if,axiom,
% 14.69/14.68 ! [V_n,V_m] :
% 14.69/14.68 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_n )
% 14.69/14.68 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.68 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__diff__split,axiom,
% 14.69/14.68 ! [V_b_2,V_a_2,V_P_2] :
% 14.69/14.68 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_b_2)))
% 14.69/14.68 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)
% 14.69/14.68 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 14.69/14.68 & ! [B_d] :
% 14.69/14.68 ( V_a_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 14.69/14.68 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__diff__split__asm,axiom,
% 14.69/14.68 ! [V_b_2,V_a_2,V_P_2] :
% 14.69/14.68 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_b_2)))
% 14.69/14.68 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)
% 14.69/14.68 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 14.69/14.68 | ? [B_d] :
% 14.69/14.68 ( V_a_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 14.69/14.68 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__Suc__diff__eq1,axiom,
% 14.69/14.68 ! [V_m,V_j,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Nat_OSuc(V_j)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__Suc__diff__eq2,axiom,
% 14.69/14.68 ! [V_m,V_j,V_k] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)),V_m) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_j),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_complex__mod__triangle__sub,axiom,
% 14.69/14.68 ! [V_z,V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_w,V_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_complex__mod__triangle__ineq2,axiom,
% 14.69/14.68 ! [V_a,V_b] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_b,V_a)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_b)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_a)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_minus__numeral__code_I6_J,axiom,
% 14.69/14.68 ! [V_w,V_v] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Suc3__eq__add__3,axiom,
% 14.69/14.68 ! [V_n] : c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(V_n))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),V_n) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__1__add__1,axiom,
% 14.69/14.68 c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__2__eq__Suc,axiom,
% 14.69/14.68 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),V_n) = c_Nat_OSuc(c_Nat_OSuc(V_n)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_add__2__eq__Suc_H,axiom,
% 14.69/14.68 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Nat_OSuc(c_Nat_OSuc(V_n)) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__special_I2_J,axiom,
% 14.69/14.68 ! [V_v,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Oone__class_Oone(T_a)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_diff__special_I1_J,axiom,
% 14.69/14.68 ! [V_w,T_a] :
% 14.69/14.68 ( class_Int_Onumber__ring(T_a)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w))) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_Deriv_Oadd__diff__add,axiom,
% 14.69/14.68 ! [V_d,V_b,V_c,V_a,T_a] :
% 14.69/14.68 ( class_Groups_Oab__group__add(T_a)
% 14.69/14.68 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(T_a,V_c,V_d)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_less__one__imp__sqr__less__one,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 14.69/14.68 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__average__minus__second,axiom,
% 14.69/14.68 ! [V_a,V_b] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_b,V_a),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_b,V_a),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_int__pos__lt__two__imp__zero__or__one,axiom,
% 14.69/14.68 ! [V_x] :
% 14.69/14.68 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 14.69/14.68 => ( V_x = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 14.69/14.68 | V_x = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_real__sum__of__halves,axiom,
% 14.69/14.68 ! [V_x] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = V_x ).
% 14.69/14.68
% 14.69/14.68 fof(fact_power__strict__mono,axiom,
% 14.69/14.68 ! [V_n,V_b,V_a,T_a] :
% 14.69/14.68 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.68 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 14.69/14.68 => c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n),c_Power_Opower__class_Opower(T_a,V_b,V_n)) ) ) ) ) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__add__commute,axiom,
% 14.69/14.68 ! [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) ).
% 14.69/14.68
% 14.69/14.68 fof(fact_nat__add__left__commute,axiom,
% 14.69/14.68 ! [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)) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nat__add__assoc,axiom,
% 14.69/14.69 ! [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)) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nat__add__left__cancel,axiom,
% 14.69/14.69 ! [V_n_2,V_m_2,V_k_2] :
% 14.69/14.69 ( 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)
% 14.69/14.69 <=> V_m_2 = V_n_2 ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nat__add__right__cancel,axiom,
% 14.69/14.69 ! [V_n_2,V_k_2,V_m_2] :
% 14.69/14.69 ( 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)
% 14.69/14.69 <=> V_m_2 = V_n_2 ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_field__power__not__zero,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 14.69/14.69 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_a,V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__one,axiom,
% 14.69/14.69 ! [V_n,T_a] :
% 14.69/14.69 ( class_Groups_Omonoid__mult(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,c_Groups_Oone__class_Oone(T_a),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__divide,axiom,
% 14.69/14.69 ! [V_n,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b),V_n) = c_Rings_Oinverse__class_Odivide(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n),c_Power_Opower__class_Opower(T_a,V_b,V_n)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__abs,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.69 => c_Groups_Oabs__class_Oabs(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n)) = c_Power_Opower__class_Opower(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_n) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__one__right,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Groups_Omonoid__mult(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_a,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__mono,axiom,
% 14.69/14.69 ! [V_n,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n),c_Power_Opower__class_Opower(T_a,V_b,V_n)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__le__power,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__less__power,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_one__le__power,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__eq__0__iff,axiom,
% 14.69/14.69 ! [V_n_2,V_a_2,T_a] :
% 14.69/14.69 ( ( class_Power_Opower(T_a)
% 14.69/14.69 & class_Rings_Omult__zero(T_a)
% 14.69/14.69 & class_Rings_Ono__zero__divisors(T_a)
% 14.69/14.69 & class_Rings_Ozero__neq__one(T_a) )
% 14.69/14.69 => ( c_Power_Opower__class_Opower(T_a,V_a_2,V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__inject__exp,axiom,
% 14.69/14.69 ! [V_n_2,V_m_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)
% 14.69/14.69 => ( c_Power_Opower__class_Opower(T_a,V_a_2,V_m_2) = c_Power_Opower__class_Opower(T_a,V_a_2,V_n_2)
% 14.69/14.69 <=> V_m_2 = V_n_2 ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__0__Suc,axiom,
% 14.69/14.69 ! [V_n,T_a] :
% 14.69/14.69 ( ( class_Power_Opower(T_a)
% 14.69/14.69 & class_Rings_Osemiring__0(T_a) )
% 14.69/14.69 => 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) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nonzero__power__divide,axiom,
% 14.69/14.69 ! [V_n,V_a,V_b,T_a] :
% 14.69/14.69 ( class_Fields_Ofield(T_a)
% 14.69/14.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b),V_n) = c_Rings_Oinverse__class_Odivide(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n),c_Power_Opower__class_Opower(T_a,V_b,V_n)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__0,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Power_Opower(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__one__over,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.69/14.69 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(T_a,V_a,V_n)) = c_Power_Opower__class_Opower(T_a,c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oone__class_Oone(T_a),V_a),V_n) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nat__lt__two__imp__zero__or__one,axiom,
% 14.69/14.69 ! [V_x] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 14.69/14.69 => ( V_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.69 | V_x = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_abs__power__minus,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.69 => c_Groups_Oabs__class_Oabs(T_a,c_Power_Opower__class_Opower(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_n)) = c_Groups_Oabs__class_Oabs(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 14.69/14.69 ! [V_m_2,V_x_2] :
% 14.69/14.69 ( 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))
% 14.69/14.69 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.69 | V_x_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__Suc__0,axiom,
% 14.69/14.69 ! [V_n] : 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)) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nat__zero__less__power__iff,axiom,
% 14.69/14.69 ! [V_n_2,V_x_2] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,V_x_2,V_n_2))
% 14.69/14.69 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)
% 14.69/14.69 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__less__power__nat__eq,axiom,
% 14.69/14.69 ! [V_n_2,V_x_2] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,V_x_2,V_n_2))
% 14.69/14.69 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.69 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nat__power__less__imp__less,axiom,
% 14.69/14.69 ! [V_n,V_m,V_i] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Power_Opower__class_Opower(tc_Nat_Onat,V_i,V_m),c_Power_Opower__class_Opower(tc_Nat_Onat,V_i,V_n))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__less__imp__less__base,axiom,
% 14.69/14.69 ! [V_b,V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n),c_Power_Opower__class_Opower(T_a,V_b,V_n))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__le__imp__le__base,axiom,
% 14.69/14.69 ! [V_b,V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Power_Opower__class_Opower(T_a,V_a,c_Nat_OSuc(V_n)),c_Power_Opower__class_Opower(T_a,V_b,c_Nat_OSuc(V_n)))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__inject__base,axiom,
% 14.69/14.69 ! [V_b,V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Power_Opower__class_Opower(T_a,V_a,c_Nat_OSuc(V_n)) = c_Power_Opower__class_Opower(T_a,V_b,c_Nat_OSuc(V_n))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => V_a = V_b ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__0__left,axiom,
% 14.69/14.69 ! [V_n,T_a] :
% 14.69/14.69 ( ( class_Power_Opower(T_a)
% 14.69/14.69 & class_Rings_Osemiring__0(T_a) )
% 14.69/14.69 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 14.69/14.69 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__le__power__abs,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_n)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__gt1,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(T_a,V_a,c_Nat_OSuc(V_n))) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_abs__diff__less__iff,axiom,
% 14.69/14.69 ! [V_ra_2,V_a_2,V_x_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x_2,V_a_2)),V_ra_2)
% 14.69/14.69 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ra_2),V_x_2)
% 14.69/14.69 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ra_2)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__strict__increasing__iff,axiom,
% 14.69/14.69 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_b_2,V_x_2),c_Power_Opower__class_Opower(T_a,V_b_2,V_y_2))
% 14.69/14.69 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__less__imp__less__exp,axiom,
% 14.69/14.69 ! [V_n,V_m,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_m),c_Power_Opower__class_Opower(T_a,V_a,V_n))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__strict__increasing,axiom,
% 14.69/14.69 ! [V_a,V_N,V_n,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n),c_Power_Opower__class_Opower(T_a,V_a,V_N)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__increasing,axiom,
% 14.69/14.69 ! [V_a,V_N,V_n,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n),c_Power_Opower__class_Opower(T_a,V_a,V_N)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__eq__0__iff__number__of,axiom,
% 14.69/14.69 ! [V_wa_2,V_a_2,T_a] :
% 14.69/14.69 ( ( class_Power_Opower(T_a)
% 14.69/14.69 & class_Rings_Omult__zero(T_a)
% 14.69/14.69 & class_Rings_Ono__zero__divisors(T_a)
% 14.69/14.69 & class_Rings_Ozero__neq__one(T_a) )
% 14.69/14.69 => ( c_Power_Opower__class_Opower(T_a,V_a_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_wa_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_wa_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nat__one__le__power,axiom,
% 14.69/14.69 ! [V_n,V_i] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Power_Opower__class_Opower(tc_Nat_Onat,V_i,V_n)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__less__power__nat__eq__number__of,axiom,
% 14.69/14.69 ! [V_wa_2,V_x_2] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,V_x_2,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_wa_2)))
% 14.69/14.69 <=> ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_wa_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.69 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__Suc__less__one,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_a,c_Nat_OSuc(V_n)),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__strict__decreasing,axiom,
% 14.69/14.69 ! [V_a,V_N,V_n,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_N),c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__eq__imp__eq__base,axiom,
% 14.69/14.69 ! [V_b,V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Power_Opower__class_Opower(T_a,V_a,V_n) = c_Power_Opower__class_Opower(T_a,V_b,V_n)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 14.69/14.69 => V_a = V_b ) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__decreasing,axiom,
% 14.69/14.69 ! [V_a,V_N,V_n,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_N),c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__le__imp__le__exp,axiom,
% 14.69/14.69 ! [V_n,V_m,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_m),c_Power_Opower__class_Opower(T_a,V_a,V_n))
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__increasing__iff,axiom,
% 14.69/14.69 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Power_Opower__class_Opower(T_a,V_b_2,V_x_2),c_Power_Opower__class_Opower(T_a,V_b_2,V_y_2))
% 14.69/14.69 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_one__less__power,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__0__left__number__of,axiom,
% 14.69/14.69 ! [V_w,T_a] :
% 14.69/14.69 ( ( class_Power_Opower(T_a)
% 14.69/14.69 & class_Rings_Osemiring__0(T_a) )
% 14.69/14.69 => ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)) = c_Groups_Oone__class_Oone(T_a) )
% 14.69/14.69 & ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__diff,axiom,
% 14.69/14.69 ! [V_m,V_n,V_a,T_a] :
% 14.69/14.69 ( class_Fields_Ofield(T_a)
% 14.69/14.69 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_a,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Rings_Oinverse__class_Odivide(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_m),c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_csqrt,axiom,
% 14.69/14.69 ! [V_z] : c_Power_Opower__class_Opower(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(V_z),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_z ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 14.69/14.69 ! [V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 14.69/14.69 ! [V_c,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 14.69/14.69 ! [V_d,V_c,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => 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)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 14.69/14.69 ! [V_d,V_c,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => 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) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => 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)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => 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) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 14.69/14.69 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => 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)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_add__0__iff,axiom,
% 14.69/14.69 ! [V_a_2,V_b_2,T_a] :
% 14.69/14.69 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 14.69/14.69 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2)
% 14.69/14.69 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 14.69/14.69 ! [V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_x,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 14.69/14.69 ! [V_y,V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__ring__1(T_a)
% 14.69/14.69 => c_Groups_Ominus__class_Ominus(T_a,V_x,V_y) = c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Ouminus__class_Ouminus(T_a,V_y)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__special_I4_J,axiom,
% 14.69/14.69 ! [V_x_2,T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => ( c_Int_Onumber__class_Onumber__of(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 14.69/14.69 <=> c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__special_I2_J,axiom,
% 14.69/14.69 ! [V_y_2,T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => ( c_Groups_Oone__class_Oone(T_a) = c_Int_Onumber__class_Onumber__of(T_a,V_y_2)
% 14.69/14.69 <=> c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_y_2)))) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_iszero__def,axiom,
% 14.69/14.69 ! [V_za_2,T_a] :
% 14.69/14.69 ( class_Rings_Osemiring__1(T_a)
% 14.69/14.69 => ( c_Int_Oiszero(T_a,V_za_2)
% 14.69/14.69 <=> V_za_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_iszero__0,axiom,
% 14.69/14.69 ! [T_a] :
% 14.69/14.69 ( class_Rings_Osemiring__1(T_a)
% 14.69/14.69 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_not__iszero__1,axiom,
% 14.69/14.69 ! [T_a] :
% 14.69/14.69 ( class_Rings_Osemiring__1(T_a)
% 14.69/14.69 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_iszero__number__of__Bit1,axiom,
% 14.69/14.69 ! [V_w,T_a] :
% 14.69/14.69 ( ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 & class_Int_Oring__char__0(T_a) )
% 14.69/14.69 => ~ c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit1(V_w))) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_iszero__Numeral0,axiom,
% 14.69/14.69 ! [T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OPls)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_iszero__number__of__Bit0,axiom,
% 14.69/14.69 ! [V_wa_2,T_a] :
% 14.69/14.69 ( ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 & class_Int_Oring__char__0(T_a) )
% 14.69/14.69 => ( c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit0(V_wa_2)))
% 14.69/14.69 <=> c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_wa_2)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_not__iszero__Numeral1,axiom,
% 14.69/14.69 ! [T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => ~ c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Int_OBit1(c_Int_OPls))) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__number__of__eq,axiom,
% 14.69/14.69 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => ( c_Int_Onumber__class_Onumber__of(T_a,V_x_2) = c_Int_Onumber__class_Onumber__of(T_a,V_y_2)
% 14.69/14.69 <=> c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_y_2)))) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__special_I1_J,axiom,
% 14.69/14.69 ! [V_y_2,T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Int_Onumber__class_Onumber__of(T_a,V_y_2)
% 14.69/14.69 <=> c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_y_2)))) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__special_I3_J,axiom,
% 14.69/14.69 ! [V_x_2,T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => ( c_Int_Onumber__class_Onumber__of(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 <=> c_Int_Oiszero(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OPls)))) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_natceiling__eq,axiom,
% 14.69/14.69 ! [V_x,V_n] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 14.69/14.69 => ( 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)))
% 14.69/14.69 => c_RComplete_Onatceiling(V_x) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__sqrt__sum__squares__mult__ge__zero,axiom,
% 14.69/14.69 ! [V_ya,V_xa,V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_y,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_xa,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,V_ya,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Oadd__right,axiom,
% 14.69/14.69 ! [V_b_H,V_b,V_a,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b_H)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__right_Oadd,axiom,
% 14.69/14.69 ! [V_y,V_x,V_xa,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_xa,V_x),c_Groups_Otimes__class_Otimes(T_a,V_xa,V_y)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Oadd__left,axiom,
% 14.69/14.69 ! [V_b,V_a_H,V_a,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Otimes__class_Otimes(T_a,V_a_H,V_b)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__left_Oadd,axiom,
% 14.69/14.69 ! [V_ya,V_y,V_x,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_x,V_ya),c_Groups_Otimes__class_Otimes(T_a,V_y,V_ya)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__class_Odistrib,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_combine__common__factor,axiom,
% 14.69/14.69 ! [V_c,V_b,V_e,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Osemiring(T_a)
% 14.69/14.69 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_e),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_b,V_e),V_c)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_e),V_c) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__add__mult__distrib,axiom,
% 14.69/14.69 ! [V_w,V_z2,V_z1] : 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,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z1,V_w),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z2,V_w)) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_sum__squares__eq__zero__iff,axiom,
% 14.69/14.69 ! [V_y_2,V_x_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x_2,V_x_2),c_Groups_Otimes__class_Otimes(T_a,V_y_2,V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__left_Ominus,axiom,
% 14.69/14.69 ! [V_y,V_x,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_x,V_y)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Ominus__left,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__right_Ominus,axiom,
% 14.69/14.69 ! [V_x,V_xa,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_xa,V_x)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Ominus__right,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_square__eq__iff,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Rings_Oidom(T_a)
% 14.69/14.69 => ( c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_a_2) = c_Groups_Otimes__class_Otimes(T_a,V_b_2,V_b_2)
% 14.69/14.69 <=> ( V_a_2 = V_b_2
% 14.69/14.69 | V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_minus__mult__minus,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oring(T_a)
% 14.69/14.69 => 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)) = c_Groups_Otimes__class_Otimes(T_a,V_a,V_b) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_minus__mult__commute,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oring(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) = c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_minus__mult__left,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oring(T_a)
% 14.69/14.69 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) = c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_minus__mult__right,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oring(T_a)
% 14.69/14.69 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) = c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_natceiling__real__of__nat,axiom,
% 14.69/14.69 ! [V_n] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 14.69/14.69
% 14.69/14.69 fof(fact_less__1__mult,axiom,
% 14.69/14.69 ! [V_n,V_m,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semidom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a,V_m,V_n)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_right__distrib__number__of,axiom,
% 14.69/14.69 ! [V_c,V_b,V_v,T_b] :
% 14.69/14.69 ( ( class_Int_Onumber(T_b)
% 14.69/14.69 & class_Rings_Osemiring(T_b) )
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_b,c_Int_Onumber__class_Onumber__of(T_b,V_v),c_Groups_Oplus__class_Oplus(T_b,V_b,V_c)) = c_Groups_Oplus__class_Oplus(T_b,c_Groups_Otimes__class_Otimes(T_b,c_Int_Onumber__class_Onumber__of(T_b,V_v),V_b),c_Groups_Otimes__class_Otimes(T_b,c_Int_Onumber__class_Onumber__of(T_b,V_v),V_c)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_left__distrib__number__of,axiom,
% 14.69/14.69 ! [V_v,V_b,V_a,T_b] :
% 14.69/14.69 ( ( class_Int_Onumber(T_b)
% 14.69/14.69 & class_Rings_Osemiring(T_b) )
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_b,c_Groups_Oplus__class_Oplus(T_b,V_a,V_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)) = c_Groups_Oplus__class_Oplus(T_b,c_Groups_Otimes__class_Otimes(T_b,V_a,c_Int_Onumber__class_Onumber__of(T_b,V_v)),c_Groups_Otimes__class_Otimes(T_b,V_b,c_Int_Onumber__class_Onumber__of(T_b,V_v))) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__diff__mult,axiom,
% 14.69/14.69 ! [V_b,V_a,V_y,V_x,T_a] :
% 14.69/14.69 ( class_Rings_Oring(T_a)
% 14.69/14.69 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,V_y),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,V_a),V_b)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Oprod__diff__prod,axiom,
% 14.69/14.69 ! [V_b,V_a,V_y,V_x,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,V_y),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,V_a),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,V_a),V_b)),c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ominus__class_Ominus(T_a,V_y,V_b))) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__add__iff2,axiom,
% 14.69/14.69 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Rings_Oring(T_a)
% 14.69/14.69 => ( c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_e_2),V_c_2) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_b_2,V_e_2),V_d_2)
% 14.69/14.69 <=> V_c_2 = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_a_2),V_e_2),V_d_2) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__add__iff1,axiom,
% 14.69/14.69 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Rings_Oring(T_a)
% 14.69/14.69 => ( c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_e_2),V_c_2) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_b_2,V_e_2),V_d_2)
% 14.69/14.69 <=> c_Groups_Oplus__class_Oplus(T_a,c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),V_e_2),V_c_2) = V_d_2 ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_right__diff__distrib__number__of,axiom,
% 14.69/14.69 ! [V_c,V_b,V_v,T_b] :
% 14.69/14.69 ( ( class_Int_Onumber(T_b)
% 14.69/14.69 & class_Rings_Oring(T_b) )
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_b,c_Int_Onumber__class_Onumber__of(T_b,V_v),c_Groups_Ominus__class_Ominus(T_b,V_b,V_c)) = c_Groups_Ominus__class_Ominus(T_b,c_Groups_Otimes__class_Otimes(T_b,c_Int_Onumber__class_Onumber__of(T_b,V_v),V_b),c_Groups_Otimes__class_Otimes(T_b,c_Int_Onumber__class_Onumber__of(T_b,V_v),V_c)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_left__diff__distrib__number__of,axiom,
% 14.69/14.69 ! [V_v,V_b,V_a,T_b] :
% 14.69/14.69 ( ( class_Int_Onumber(T_b)
% 14.69/14.69 & class_Rings_Oring(T_b) )
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_b,c_Groups_Ominus__class_Ominus(T_b,V_a,V_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)) = c_Groups_Ominus__class_Ominus(T_b,c_Groups_Otimes__class_Otimes(T_b,V_a,c_Int_Onumber__class_Onumber__of(T_b,V_v)),c_Groups_Otimes__class_Otimes(T_b,V_b,c_Int_Onumber__class_Onumber__of(T_b,V_v))) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nonzero__eq__divide__eq,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 14.69/14.69 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.69 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( V_a_2 = c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_c_2)
% 14.69/14.69 <=> c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_c_2) = V_b_2 ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_nonzero__divide__eq__eq,axiom,
% 14.69/14.69 ! [V_a_2,V_b_2,V_c_2,T_a] :
% 14.69/14.69 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.69 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_c_2) = V_a_2
% 14.69/14.69 <=> V_b_2 = c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_c_2) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_divide__eq__imp,axiom,
% 14.69/14.69 ! [V_a,V_b,V_c,T_a] :
% 14.69/14.69 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( V_b = c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)
% 14.69/14.69 => c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c) = V_a ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__divide__imp,axiom,
% 14.69/14.69 ! [V_b,V_a,V_c,T_a] :
% 14.69/14.69 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( c_Groups_Otimes__class_Otimes(T_a,V_a,V_c) = V_b
% 14.69/14.69 => V_a = c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_eq__divide__eq,axiom,
% 14.69/14.69 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.69/14.69 => ( V_a_2 = c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_c_2)
% 14.69/14.69 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_c_2) = V_b_2 )
% 14.69/14.69 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_divide__eq__eq,axiom,
% 14.69/14.69 ! [V_a_2,V_c_2,V_b_2,T_a] :
% 14.69/14.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.69/14.69 => ( c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_c_2) = V_a_2
% 14.69/14.69 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => V_b_2 = c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_c_2) )
% 14.69/14.69 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__divide__mult__cancel__right,axiom,
% 14.69/14.69 ! [V_b,V_a,V_c,T_a] :
% 14.69/14.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.69/14.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)) = c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__divide__mult__cancel__left,axiom,
% 14.69/14.69 ! [V_b,V_a,V_c,T_a] :
% 14.69/14.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.69/14.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)) = c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_frac__eq__eq,axiom,
% 14.69/14.69 ! [V_wa_2,V_x_2,V_za_2,V_y_2,T_a] :
% 14.69/14.69 ( class_Fields_Ofield(T_a)
% 14.69/14.69 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( V_za_2 != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( c_Rings_Oinverse__class_Odivide(T_a,V_x_2,V_y_2) = c_Rings_Oinverse__class_Odivide(T_a,V_wa_2,V_za_2)
% 14.69/14.69 <=> c_Groups_Otimes__class_Otimes(T_a,V_x_2,V_za_2) = c_Groups_Otimes__class_Otimes(T_a,V_wa_2,V_y_2) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_square__eq__1__iff,axiom,
% 14.69/14.69 ! [V_x_2,T_a] :
% 14.69/14.69 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 14.69/14.69 => ( c_Groups_Otimes__class_Otimes(T_a,V_x_2,V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 14.69/14.69 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 14.69/14.69 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_abs__mult__less,axiom,
% 14.69/14.69 ! [V_d,V_b,V_c,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_c)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_b),V_d)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_d)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_not__real__square__gt__zero,axiom,
% 14.69/14.69 ! [V_x_2] :
% 14.69/14.69 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_x_2,V_x_2))
% 14.69/14.69 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__mult__less__iff1,axiom,
% 14.69/14.69 ! [V_y_2,V_x_2,V_za_2] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_za_2)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_x_2,V_za_2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_y_2,V_za_2))
% 14.69/14.69 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__mult__order,axiom,
% 14.69/14.69 ! [V_y,V_x] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_x,V_y)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__mult__less__mono2,axiom,
% 14.69/14.69 ! [V_y,V_x,V_z] :
% 14.69/14.69 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z,V_x),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z,V_y)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__two__squares__add__zero__iff,axiom,
% 14.69/14.69 ! [V_y_2,V_x_2] :
% 14.69/14.69 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_x_2,V_x_2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_y_2,V_y_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.69 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.69 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__minus__mult__self__le,axiom,
% 14.69/14.69 ! [V_x,V_u] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_u,V_u)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_x,V_x)) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_lemma__MVT,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,V_fa_2] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_fa_2,V_a_2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_fa_2,V_b_2),hAPP(V_fa_2,V_a_2)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_b_2,V_a_2)),V_a_2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_fa_2,V_b_2),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_fa_2,V_b_2),hAPP(V_fa_2,V_a_2)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_b_2,V_a_2)),V_b_2)) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__sqrt__abs2,axiom,
% 14.69/14.69 ! [V_x] : c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_x,V_x)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Odiff__right,axiom,
% 14.69/14.69 ! [V_b_H,V_b,V_a,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_b_H)) = c_Groups_Ominus__class_Ominus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b_H)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__right_Odiff,axiom,
% 14.69/14.69 ! [V_y,V_x,V_xa,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_xa,c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_xa,V_x),c_Groups_Otimes__class_Otimes(T_a,V_xa,V_y)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Odiff__left,axiom,
% 14.69/14.69 ! [V_b,V_a_H,V_a,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_a_H),V_b) = c_Groups_Ominus__class_Ominus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Otimes__class_Otimes(T_a,V_a_H,V_b)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__left_Odiff,axiom,
% 14.69/14.69 ! [V_ya,V_y,V_x,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,V_y),V_ya) = c_Groups_Ominus__class_Ominus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,V_ya),c_Groups_Otimes__class_Otimes(T_a,V_y,V_ya)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_times__divide__eq__right,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Odivision__ring(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)) = c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),V_c) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_times__divide__times__eq,axiom,
% 14.69/14.69 ! [V_w,V_z,V_y,V_x,T_a] :
% 14.69/14.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Rings_Oinverse__class_Odivide(T_a,V_z,V_w)) = c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,V_z),c_Groups_Otimes__class_Otimes(T_a,V_y,V_w)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__mult__right__cancel,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,V_c_2] :
% 14.69/14.69 ( V_c_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.69 => ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_a_2,V_c_2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_b_2,V_c_2)
% 14.69/14.69 <=> V_a_2 = V_b_2 ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__mult__left__cancel,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,V_c_2] :
% 14.69/14.69 ( V_c_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 14.69/14.69 => ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_c_2,V_a_2) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_c_2,V_b_2)
% 14.69/14.69 <=> V_a_2 = V_b_2 ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_abs__mult,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.69 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) = c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_abs__mult__self,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__idom(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) = c_Groups_Otimes__class_Otimes(T_a,V_a,V_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_norm__mult__less,axiom,
% 14.69/14.69 ! [V_s,V_y,V_r,V_x,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,V_y)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_r,V_s)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__left__idem,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) = c_Groups_Otimes__class_Otimes(T_a,V_a,V_b) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__idem,axiom,
% 14.69/14.69 ! [V_x,T_a] :
% 14.69/14.69 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_x,V_x) = V_x ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_times_Oidem,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,V_a) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Groups_Oab__semigroup__mult(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),V_c) = c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__number__of__left,axiom,
% 14.69/14.69 ! [V_z,V_w,V_v,T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Otimes__class_Otimes(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_z)) = c_Groups_Otimes__class_Otimes(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_v,V_w)),V_z) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_arith__simps_I32_J,axiom,
% 14.69/14.69 ! [V_w,V_v,T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) = c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_v,V_w)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_number__of__mult,axiom,
% 14.69/14.69 ! [V_w,V_v,T_a] :
% 14.69/14.69 ( class_Int_Onumber__ring(T_a)
% 14.69/14.69 => c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_v,V_w)) = c_Groups_Otimes__class_Otimes(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_norm__mult,axiom,
% 14.69/14.69 ! [V_y,V_x,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 14.69/14.69 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,V_y)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_RealVector_Onorm__class_Onorm(T_a,V_y)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__mult__assoc,axiom,
% 14.69/14.69 ! [V_z3,V_z2,V_z1] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z1,V_z2),V_z3) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z1,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z2,V_z3)) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__mult__commute,axiom,
% 14.69/14.69 ! [V_w,V_z] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z,V_w) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_w,V_z) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_poly__mult,axiom,
% 14.69/14.69 ! [V_x,V_q,V_p,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__0(T_a)
% 14.69/14.69 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = 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)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_norm__mult__ineq,axiom,
% 14.69/14.69 ! [V_y,V_x,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,V_y)),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_RealVector_Onorm__class_Onorm(T_a,V_y))) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__zero__left,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Omult__zero(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__zero__right,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Omult__zero(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__eq__0__iff,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Rings_Oring__no__zero__divisors(T_a)
% 14.69/14.69 => ( c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_no__zero__divisors,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ono__zero__divisors(T_a)
% 14.69/14.69 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_divisors__zero,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ono__zero__divisors(T_a)
% 14.69/14.69 => ( c_Groups_Otimes__class_Otimes(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 14.69/14.69 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Ozero__left,axiom,
% 14.69/14.69 ! [V_b,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__left_Ozero,axiom,
% 14.69/14.69 ! [V_y,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Ozero__right,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__right_Ozero,axiom,
% 14.69/14.69 ! [V_x,T_a] :
% 14.69/14.69 ( class_RealVector_Oreal__normed__algebra(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_not__square__less__zero,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring(T_a)
% 14.69/14.69 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__less__cancel__right__disj,axiom,
% 14.69/14.69 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_c_2),c_Groups_Otimes__class_Otimes(T_a,V_b_2,V_c_2))
% 14.69/14.69 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 14.69/14.69 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) )
% 14.69/14.69 | ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__less__cancel__left__disj,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_a_2),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_b_2))
% 14.69/14.69 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 14.69/14.69 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) )
% 14.69/14.69 | ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__less__cancel__left__pos,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_a_2),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_b_2))
% 14.69/14.69 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__pos__pos,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__pos__neg,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__pos__neg2,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_b,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__less__mult__pos,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__less__mult__pos2,axiom,
% 14.69/14.69 ! [V_a,V_b,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_b,V_a))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__less__cancel__left__neg,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_a_2),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_b_2))
% 14.69/14.69 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__neg__pos,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__neg__neg,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__strict__right__mono,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__strict__left__mono,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__mult__strict__left__mono,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__strict__right__mono__neg,axiom,
% 14.69/14.69 ! [V_c,V_a,V_b,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__strict__left__mono__neg,axiom,
% 14.69/14.69 ! [V_c,V_a,V_b,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_split__mult__neg__le,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__cancel__semiring(T_a)
% 14.69/14.69 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) )
% 14.69/14.69 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) )
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_split__mult__pos__le,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__ring(T_a)
% 14.69/14.69 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) )
% 14.69/14.69 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__mono,axiom,
% 14.69/14.69 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d)) ) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__mono_H,axiom,
% 14.69/14.69 ! [V_d,V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d)) ) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__left__mono__neg,axiom,
% 14.69/14.69 ! [V_c,V_a,V_b,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__ring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__right__mono__neg,axiom,
% 14.69/14.69 ! [V_c,V_a,V_b,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__ring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__mult__left__mono,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__comm__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__left__mono,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__right__mono,axiom,
% 14.69/14.69 ! [V_c,V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__nonpos__nonpos,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__ring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__nonpos__nonneg,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__cancel__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__nonneg__nonpos2,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__cancel__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_b,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__nonneg__nonpos,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__cancel__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__nonneg__nonneg,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Oordered__cancel__semiring(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__le__0__iff,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 14.69/14.69 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 14.69/14.69 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__le__mult__iff,axiom,
% 14.69/14.69 ! [V_b_2,V_a_2,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring__strict(T_a)
% 14.69/14.69 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a_2,V_b_2))
% 14.69/14.69 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)
% 14.69/14.69 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 14.69/14.69 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))
% 14.69/14.69 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_zero__le__square,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Olinordered__ring(T_a)
% 14.69/14.69 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_a)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__sqrt__mult,axiom,
% 14.69/14.69 ! [V_y,V_x] : c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y)) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__divide__square__eq,axiom,
% 14.69/14.69 ! [V_a,V_r] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_r,V_a),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_r,V_r)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_a,V_r) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_real__mult__1,axiom,
% 14.69/14.69 ! [V_z] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_z) = V_z ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult_Ocomm__neutral,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Groups_Ocomm__monoid__mult(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__1__right,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Groups_Omonoid__mult(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__1,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Groups_Ocomm__monoid__mult(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oone__class_Oone(T_a),V_a) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_mult__1__left,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Groups_Omonoid__mult(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oone__class_Oone(T_a),V_a) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Oone__class_Oone(T_a),V_a) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 14.69/14.69 ! [V_q,V_y,V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,c_Groups_Otimes__class_Otimes(T_a,V_x,V_y),V_q) = c_Groups_Otimes__class_Otimes(T_a,c_Power_Opower__class_Opower(T_a,V_x,V_q),c_Power_Opower__class_Opower(T_a,V_y,V_q)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 14.69/14.69 ! [V_q,V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_x,c_Nat_OSuc(V_q)) = c_Groups_Otimes__class_Otimes(T_a,V_x,c_Power_Opower__class_Opower(T_a,V_x,V_q)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 14.69/14.69 ! [V_q,V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_x,c_Power_Opower__class_Opower(T_a,V_x,V_q)) = c_Power_Opower__class_Opower(T_a,V_x,c_Nat_OSuc(V_q)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 14.69/14.69 ! [V_q,V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Power_Opower__class_Opower(T_a,V_x,V_q),V_x) = c_Power_Opower__class_Opower(T_a,V_x,c_Nat_OSuc(V_q)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 14.69/14.69 ! [V_n,V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),V_n)) = c_Groups_Otimes__class_Otimes(T_a,c_Power_Opower__class_Opower(T_a,V_x,V_n),c_Power_Opower__class_Opower(T_a,V_x,V_n)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 14.69/14.69 ! [V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 14.69/14.69 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry)) = c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),c_Groups_Otimes__class_Otimes(T_a,V_ly,V_ry)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 14.69/14.69 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry)) = c_Groups_Otimes__class_Otimes(T_a,V_rx,c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_ry)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 14.69/14.69 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry)) = c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_ly,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 14.69/14.69 ! [V_rx,V_ly,V_lx,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_rx) = c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),V_ly) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 14.69/14.69 ! [V_rx,V_ly,V_lx,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_rx) = c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_ly,V_rx)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 14.69/14.69 ! [V_ry,V_rx,V_lx,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry)) = c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),V_ry) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 14.69/14.69 ! [V_ry,V_rx,V_lx,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry)) = c_Groups_Otimes__class_Otimes(T_a,V_rx,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ry)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 14.69/14.69 ! [V_b,V_a,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 14.69/14.69 => c_Groups_Otimes__class_Otimes(T_a,V_a,V_b) = c_Groups_Otimes__class_Otimes(T_a,V_b,V_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__Suc2,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Groups_Omonoid__mult(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_a,c_Nat_OSuc(V_n)) = c_Groups_Otimes__class_Otimes(T_a,c_Power_Opower__class_Opower(T_a,V_a,V_n),V_a) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_power__Suc,axiom,
% 14.69/14.69 ! [V_n,V_a,T_a] :
% 14.69/14.69 ( class_Power_Opower(T_a)
% 14.69/14.69 => c_Power_Opower__class_Opower(T_a,V_a,c_Nat_OSuc(V_n)) = c_Groups_Otimes__class_Otimes(T_a,V_a,c_Power_Opower__class_Opower(T_a,V_a,V_n)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 14.69/14.69 ! [V_x,T_a] :
% 14.69/14.69 ( class_Rings_Ocomm__ring__1(T_a)
% 14.69/14.69 => c_Groups_Ouminus__class_Ouminus(T_a,V_x) = c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)),V_x) ) ).
% 14.69/14.69
% 14.69/14.69 %----Arity declarations (280)
% 14.69/14.69 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
% 14.69/14.69 ! [T_1] :
% 14.69/14.69 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 14.69/14.69 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 14.69/14.69 ! [T_2,T_1] :
% 14.69/14.69 ( class_Lattices_Oboolean__algebra(T_1)
% 14.69/14.69 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_fun__Orderings_Opreorder,axiom,
% 14.69/14.69 ! [T_2,T_1] :
% 14.69/14.69 ( class_Orderings_Opreorder(T_1)
% 14.69/14.69 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_fun__Orderings_Oorder,axiom,
% 14.69/14.69 ! [T_2,T_1] :
% 14.69/14.69 ( class_Orderings_Oorder(T_1)
% 14.69/14.69 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_fun__Orderings_Oord,axiom,
% 14.69/14.69 ! [T_2,T_1] :
% 14.69/14.69 ( class_Orderings_Oord(T_1)
% 14.69/14.69 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_fun__Groups_Ouminus,axiom,
% 14.69/14.69 ! [T_2,T_1] :
% 14.69/14.69 ( class_Groups_Ouminus(T_1)
% 14.69/14.69 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_fun__Groups_Ominus,axiom,
% 14.69/14.69 ! [T_2,T_1] :
% 14.69/14.69 ( class_Groups_Ominus(T_1)
% 14.69/14.69 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 14.69/14.69 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 14.69/14.69 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 14.69/14.69 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 14.69/14.69 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 14.69/14.69 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 14.69/14.69 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 14.69/14.69 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 14.69/14.69 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 14.69/14.69 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 14.69/14.69 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 14.69/14.69 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 14.69/14.69 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 14.69/14.69 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 14.69/14.69 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 14.69/14.69 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 14.69/14.69 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 14.69/14.69 class_Orderings_Opreorder(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 14.69/14.69 class_Orderings_Olinorder(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 14.69/14.69 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 14.69/14.69 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 14.69/14.69 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 14.69/14.69 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 14.69/14.69 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 14.69/14.69 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 14.69/14.69 class_Rings_Omult__zero(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 14.69/14.69 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 14.69/14.69 class_Orderings_Oorder(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 14.69/14.69 class_Int_Oring__char__0(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 14.69/14.69 class_Int_Onumber__ring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 14.69/14.69 class_Rings_Osemiring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 14.69/14.69 class_Orderings_Oord(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 14.69/14.69 class_Groups_Ouminus(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 14.69/14.69 class_Groups_Oabs__if(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 14.69/14.69 class_Rings_Oring__1(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 14.69/14.69 class_Groups_Ominus(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Power_Opower,axiom,
% 14.69/14.69 class_Power_Opower(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 14.69/14.69 class_Groups_Ozero(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oring,axiom,
% 14.69/14.69 class_Rings_Oring(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 14.69/14.69 class_Rings_Oidom(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Int_Onumber,axiom,
% 14.69/14.69 class_Int_Onumber(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Int__Oint__Groups_Oone,axiom,
% 14.69/14.69 class_Groups_Oone(tc_Int_Oint) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 14.69/14.69 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 14.69/14.69 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 14.69/14.69 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 14.69/14.69 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 14.69/14.69 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 14.69/14.69 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 14.69/14.69 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 14.69/14.69 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 14.69/14.69 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 14.69/14.69 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 14.69/14.69 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 14.69/14.69 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 14.69/14.69 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 14.69/14.69 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 14.69/14.69 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 14.69/14.69 class_Orderings_Oorder(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 14.69/14.69 class_Rings_Osemiring(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 14.69/14.69 class_Orderings_Oord(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 14.69/14.69 class_Groups_Ominus(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Power_Opower,axiom,
% 14.69/14.69 class_Power_Opower(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 14.69/14.69 class_Groups_Ozero(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 14.69/14.69 class_Int_Onumber(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 14.69/14.69 class_Groups_Oone(tc_Nat_Onat) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 14.69/14.69 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 14.69/14.69 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 14.69/14.69 class_Orderings_Oorder(tc_HOL_Obool) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 14.69/14.69 class_Orderings_Oord(tc_HOL_Obool) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 14.69/14.69 class_Groups_Ouminus(tc_HOL_Obool) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 14.69/14.69 class_Groups_Ominus(tc_HOL_Obool) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 14.69/14.69 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,
% 14.69/14.69 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
% 14.69/14.69 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 14.69/14.69 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,
% 14.69/14.69 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
% 14.69/14.69 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 14.69/14.69 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 14.69/14.69 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
% 14.69/14.69 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,
% 14.69/14.69 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 14.69/14.69 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
% 14.69/14.69 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 14.69/14.69 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,
% 14.69/14.69 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
% 14.69/14.69 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
% 14.69/14.69 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
% 14.69/14.69 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,
% 14.69/14.69 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,
% 14.69/14.69 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,
% 14.69/14.69 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
% 14.69/14.69 class_Fields_Olinordered__field(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,
% 14.69/14.69 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,
% 14.69/14.69 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,
% 14.69/14.69 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,
% 14.69/14.69 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
% 14.69/14.69 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
% 14.69/14.69 class_Rings_Odivision__ring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,
% 14.69/14.69 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
% 14.69/14.69 class_Groups_Oab__group__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,
% 14.69/14.69 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,
% 14.69/14.69 class_Rings_Oordered__ring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 14.69/14.69 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 14.69/14.69 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,
% 14.69/14.69 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom,
% 14.69/14.69 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,
% 14.69/14.69 class_Groups_Omonoid__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Osemiring__1,axiom,
% 14.69/14.69 class_Rings_Osemiring__1(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,
% 14.69/14.69 class_Rings_Osemiring__0(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
% 14.69/14.69 class_Groups_Ogroup__add(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,
% 14.69/14.69 class_Rings_Omult__zero(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom,
% 14.69/14.69 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
% 14.69/14.69 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 14.69/14.69 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 14.69/14.69 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
% 14.69/14.69 class_Rings_Osemiring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
% 14.69/14.69 class_Orderings_Oord(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom,
% 14.69/14.69 class_Groups_Ouminus(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oabs__if,axiom,
% 14.69/14.69 class_Groups_Oabs__if(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,
% 14.69/14.69 class_Rings_Oring__1(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ominus,axiom,
% 14.69/14.69 class_Groups_Ominus(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Fields_Ofield,axiom,
% 14.69/14.69 class_Fields_Ofield(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Power_Opower,axiom,
% 14.69/14.69 class_Power_Opower(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
% 14.69/14.69 class_Groups_Ozero(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oring,axiom,
% 14.69/14.69 class_Rings_Oring(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Rings_Oidom,axiom,
% 14.69/14.69 class_Rings_Oidom(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Int_Onumber,axiom,
% 14.69/14.69 class_Int_Onumber(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_RealDef__Oreal__Groups_Oone,axiom,
% 14.69/14.69 class_Groups_Oone(tc_RealDef_Oreal) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 14.69/14.69 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ).
% 14.69/14.69
% 14.69/14.69 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 14.69/14.70 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom,
% 14.69/14.70 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 14.69/14.70 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 14.69/14.70 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,
% 14.69/14.70 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
% 14.69/14.70 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 14.69/14.70 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 14.69/14.70 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
% 14.69/14.70 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,
% 14.69/14.70 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
% 14.69/14.70 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,
% 14.69/14.70 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,
% 14.69/14.70 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,
% 14.69/14.70 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
% 14.69/14.70 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
% 14.69/14.70 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
% 14.69/14.70 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
% 14.69/14.70 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
% 14.69/14.70 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,
% 14.69/14.70 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
% 14.69/14.70 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
% 14.69/14.70 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
% 14.69/14.70 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
% 14.69/14.70 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,
% 14.69/14.70 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Osemiring__1,axiom,
% 14.69/14.70 class_Rings_Osemiring__1(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,
% 14.69/14.70 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
% 14.69/14.70 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
% 14.69/14.70 class_Rings_Omult__zero(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,
% 14.69/14.70 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 14.69/14.70 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 14.69/14.70 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
% 14.69/14.70 class_Rings_Osemiring(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,
% 14.69/14.70 class_Groups_Ouminus(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,
% 14.69/14.70 class_Rings_Oring__1(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom,
% 14.69/14.70 class_Groups_Ominus(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
% 14.69/14.70 class_Fields_Ofield(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Power_Opower,axiom,
% 14.69/14.70 class_Power_Opower(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
% 14.69/14.70 class_Groups_Ozero(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
% 14.69/14.70 class_Rings_Oring(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
% 14.69/14.70 class_Rings_Oidom(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Int_Onumber,axiom,
% 14.69/14.70 class_Int_Onumber(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
% 14.69/14.70 class_Groups_Oone(tc_Complex_Ocomplex) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Oidom(T_1)
% 14.69/14.70 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 14.69/14.70 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Oidom(T_1)
% 14.69/14.70 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Oidom(T_1)
% 14.69/14.70 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 14.69/14.70 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__0(T_1)
% 14.69/14.70 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__1(T_1)
% 14.69/14.70 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Ocomm__monoid__add(T_1)
% 14.69/14.70 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Oidom(T_1)
% 14.69/14.70 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Ocomm__monoid__add(T_1)
% 14.69/14.70 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__1(T_1)
% 14.69/14.70 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__0(T_1)
% 14.69/14.70 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__0(T_1)
% 14.69/14.70 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Oab__group__add(T_1)
% 14.69/14.70 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__1(T_1)
% 14.69/14.70 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__1(T_1)
% 14.69/14.70 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__ring__1(T_1)
% 14.69/14.70 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Ocomm__monoid__add(T_1)
% 14.69/14.70 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Osemiring__1,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__1(T_1)
% 14.69/14.70 => class_Rings_Osemiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__0(T_1)
% 14.69/14.70 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Oab__group__add(T_1)
% 14.69/14.70 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__0(T_1)
% 14.69/14.70 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__ring(T_1)
% 14.69/14.70 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__ring__1(T_1)
% 14.69/14.70 => class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__0(T_1)
% 14.69/14.70 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Oab__group__add(T_1)
% 14.69/14.70 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oabs__if,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Olinordered__idom(T_1)
% 14.69/14.70 => class_Groups_Oabs__if(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__ring__1(T_1)
% 14.69/14.70 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Oab__group__add(T_1)
% 14.69/14.70 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Power_Opower,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__1(T_1)
% 14.69/14.70 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Groups_Ozero(T_1)
% 14.69/14.70 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__ring(T_1)
% 14.69/14.70 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Oidom(T_1)
% 14.69/14.70 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Int_Onumber,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__ring__1(T_1)
% 14.69/14.70 => class_Int_Onumber(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
% 14.69/14.70 ! [T_1] :
% 14.69/14.70 ( class_Rings_Ocomm__semiring__1(T_1)
% 14.69/14.70 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ).
% 14.69/14.70
% 14.69/14.70 %----Conjectures (2)
% 14.69/14.70 fof(conj_0,hypothesis,
% 14.69/14.70 ! [B_d] :
% 14.69/14.70 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d)
% 14.69/14.70 => ( ! [B_w] :
% 14.69/14.70 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,v_z____)))
% 14.69/14.70 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,v_z____)),B_d) )
% 14.69/14.70 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),B_w),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )
% 14.69/14.70 => v_thesis____ ) ) ).
% 14.69/14.70
% 14.69/14.70 fof(conj_1,conjecture,
% 14.69/14.70 v_thesis____ ).
% 14.69/14.70
% 14.69/14.70 %------------------------------------------------------------------------------
% 14.69/14.70 %-------------------------------------------
% 14.69/14.70 % Proof found
% 14.69/14.70 % SZS status Theorem for theBenchmark
% 14.69/14.70 % SZS output start Proof
% 14.81/14.70 %ClaNum:1849(EqnAxiom:195)
% 14.81/14.70 %VarNum:7975(SingletonVarNum:2777)
% 14.81/14.70 %MaxLitNum:7
% 14.81/14.70 %MaxfuncDepth:10
% 14.81/14.70 %SharedTerms:341
% 14.81/14.70 %goalClause: 575
% 14.81/14.70 %singleGoalClaCount:1
% 14.81/14.70 [197]P1(a67)
% 14.81/14.70 [198]P6(a68)
% 14.81/14.70 [199]P10(a68)
% 14.81/14.70 [200]P10(a12)
% 14.81/14.70 [201]P10(a1)
% 14.81/14.70 [202]P35(a68)
% 14.81/14.70 [203]P35(a1)
% 14.81/14.70 [204]P36(a68)
% 14.81/14.70 [205]P36(a12)
% 14.81/14.70 [206]P46(a68)
% 14.81/14.70 [207]P46(a12)
% 14.81/14.70 [208]P7(a68)
% 14.81/14.70 [209]P7(a12)
% 14.81/14.70 [210]P48(a68)
% 14.81/14.70 [211]P48(a12)
% 14.81/14.70 [212]P8(a68)
% 14.81/14.70 [213]P8(a12)
% 14.81/14.70 [214]P37(a68)
% 14.81/14.70 [215]P37(a12)
% 14.81/14.70 [216]P37(a1)
% 14.81/14.70 [217]P11(a68)
% 14.81/14.70 [218]P11(a12)
% 14.81/14.70 [219]P11(a1)
% 14.81/14.70 [220]P11(a69)
% 14.81/14.70 [221]P9(a68)
% 14.81/14.70 [222]P12(a68)
% 14.81/14.70 [223]P12(a1)
% 14.81/14.70 [224]P13(a68)
% 14.81/14.70 [225]P13(a1)
% 14.81/14.70 [226]P49(a68)
% 14.81/14.70 [227]P49(a12)
% 14.81/14.70 [228]P17(a68)
% 14.81/14.70 [229]P17(a12)
% 14.81/14.70 [230]P17(a1)
% 14.81/14.70 [231]P23(a68)
% 14.81/14.70 [232]P23(a1)
% 14.81/14.70 [233]P29(a68)
% 14.81/14.70 [234]P29(a12)
% 14.81/14.70 [235]P29(a1)
% 14.81/14.70 [236]P29(a69)
% 14.81/14.70 [237]P14(a68)
% 14.81/14.70 [238]P14(a12)
% 14.81/14.70 [239]P14(a1)
% 14.81/14.70 [240]P24(a68)
% 14.81/14.70 [241]P24(a1)
% 14.81/14.70 [242]P55(a68)
% 14.81/14.70 [243]P55(a12)
% 14.81/14.70 [244]P50(a68)
% 14.81/14.70 [245]P50(a12)
% 14.81/14.70 [246]P50(a1)
% 14.81/14.70 [247]P51(a68)
% 14.81/14.70 [248]P51(a12)
% 14.81/14.70 [249]P51(a1)
% 14.81/14.70 [250]P51(a69)
% 14.81/14.70 [251]P38(a68)
% 14.81/14.70 [252]P38(a1)
% 14.81/14.70 [253]P38(a69)
% 14.81/14.70 [254]P56(a68)
% 14.81/14.70 [255]P56(a12)
% 14.81/14.70 [256]P56(a1)
% 14.81/14.70 [257]P41(a68)
% 14.81/14.70 [258]P41(a1)
% 14.81/14.70 [259]P41(a69)
% 14.81/14.70 [260]P41(a66)
% 14.81/14.70 [261]P42(a68)
% 14.81/14.70 [262]P42(a1)
% 14.81/14.70 [263]P42(a69)
% 14.81/14.70 [264]P42(a66)
% 14.81/14.70 [265]P39(a66)
% 14.81/14.70 [266]P43(a68)
% 14.81/14.70 [267]P43(a1)
% 14.81/14.70 [268]P43(a69)
% 14.81/14.70 [269]P43(a66)
% 14.81/14.70 [270]P25(a68)
% 14.81/14.70 [271]P25(a12)
% 14.81/14.70 [272]P25(a1)
% 14.81/14.70 [273]P25(a69)
% 14.81/14.70 [274]P25(a66)
% 14.81/14.70 [275]P30(a68)
% 14.81/14.70 [276]P30(a12)
% 14.81/14.70 [277]P30(a1)
% 14.81/14.70 [278]P30(a66)
% 14.81/14.70 [279]P26(a68)
% 14.81/14.70 [280]P26(a12)
% 14.81/14.70 [281]P26(a1)
% 14.81/14.70 [282]P26(a69)
% 14.81/14.70 [283]P54(a68)
% 14.81/14.70 [284]P54(a12)
% 14.81/14.70 [285]P54(a1)
% 14.81/14.70 [286]P54(a69)
% 14.81/14.70 [287]P58(a68)
% 14.81/14.70 [288]P58(a12)
% 14.81/14.70 [289]P58(a1)
% 14.81/14.70 [290]P58(a69)
% 14.81/14.70 [291]P59(a68)
% 14.81/14.70 [292]P59(a1)
% 14.81/14.70 [293]P59(a69)
% 14.81/14.70 [294]P47(a68)
% 14.81/14.70 [295]P47(a12)
% 14.81/14.70 [296]P15(a68)
% 14.81/14.70 [297]P15(a12)
% 14.81/14.70 [298]P15(a1)
% 14.81/14.70 [299]P15(a69)
% 14.81/14.70 [300]P18(a68)
% 14.81/14.70 [301]P18(a12)
% 14.81/14.70 [302]P18(a1)
% 14.81/14.70 [303]P18(a69)
% 14.81/14.70 [304]P19(a68)
% 14.81/14.70 [305]P19(a12)
% 14.81/14.70 [306]P19(a1)
% 14.81/14.70 [307]P19(a69)
% 14.81/14.70 [308]P31(a68)
% 14.81/14.70 [309]P31(a1)
% 14.81/14.70 [310]P31(a69)
% 14.81/14.70 [311]P33(a68)
% 14.81/14.70 [312]P33(a1)
% 14.81/14.70 [313]P33(a69)
% 14.81/14.70 [314]P32(a68)
% 14.81/14.70 [315]P32(a1)
% 14.81/14.70 [316]P32(a69)
% 14.81/14.70 [317]P21(a68)
% 14.81/14.70 [318]P21(a12)
% 14.81/14.70 [319]P21(a1)
% 14.81/14.70 [320]P21(a69)
% 14.81/14.70 [321]P27(a68)
% 14.81/14.70 [322]P27(a12)
% 14.81/14.70 [323]P27(a1)
% 14.81/14.70 [324]P27(a69)
% 14.81/14.70 [325]P34(a68)
% 14.81/14.70 [326]P34(a1)
% 14.81/14.70 [327]P34(a69)
% 14.81/14.70 [328]P62(a68)
% 14.81/14.70 [329]P62(a12)
% 14.81/14.70 [330]P62(a1)
% 14.81/14.70 [331]P62(a69)
% 14.81/14.70 [332]P63(a68)
% 14.81/14.70 [333]P63(a12)
% 14.81/14.70 [334]P63(a1)
% 14.81/14.70 [335]P64(a68)
% 14.81/14.70 [336]P64(a12)
% 14.81/14.70 [337]P64(a1)
% 14.81/14.70 [338]P28(a68)
% 14.81/14.70 [339]P28(a12)
% 14.81/14.70 [340]P28(a1)
% 14.81/14.70 [341]P28(a69)
% 14.81/14.70 [342]P44(a68)
% 14.81/14.70 [343]P44(a12)
% 14.81/14.70 [344]P44(a1)
% 14.81/14.70 [345]P44(a69)
% 14.81/14.70 [346]P65(a68)
% 14.81/14.70 [347]P65(a12)
% 14.81/14.70 [348]P65(a1)
% 14.81/14.70 [349]P65(a69)
% 14.81/14.70 [350]P67(a68)
% 14.81/14.70 [351]P67(a12)
% 14.81/14.70 [352]P67(a1)
% 14.81/14.70 [353]P67(a69)
% 14.81/14.70 [354]P73(a68)
% 14.81/14.70 [355]P73(a12)
% 14.81/14.70 [356]P73(a1)
% 14.81/14.70 [357]P73(a69)
% 14.81/14.70 [358]P76(a68)
% 14.81/14.70 [359]P76(a12)
% 14.81/14.70 [360]P76(a1)
% 14.81/14.70 [361]P76(a69)
% 14.81/14.70 [362]P52(a68)
% 14.81/14.70 [363]P52(a12)
% 14.81/14.70 [364]P52(a1)
% 14.81/14.70 [365]P45(a68)
% 14.81/14.70 [366]P45(a12)
% 14.81/14.70 [367]P53(a68)
% 14.81/14.70 [368]P53(a12)
% 14.81/14.70 [369]P53(a1)
% 14.81/14.70 [370]P53(a69)
% 14.81/14.70 [371]P74(a68)
% 14.81/14.70 [372]P74(a12)
% 14.81/14.70 [373]P74(a1)
% 14.81/14.70 [374]P74(a69)
% 14.81/14.70 [375]P60(a68)
% 14.81/14.70 [376]P60(a1)
% 14.81/14.70 [377]P68(a68)
% 14.81/14.70 [378]P68(a12)
% 14.81/14.70 [379]P68(a1)
% 14.81/14.70 [380]P16(a68)
% 14.81/14.70 [381]P16(a12)
% 14.81/14.70 [382]P16(a1)
% 14.81/14.70 [383]P16(a69)
% 14.81/14.70 [384]P75(a68)
% 14.81/14.70 [385]P75(a12)
% 14.81/14.70 [386]P75(a1)
% 14.81/14.70 [387]P61(a68)
% 14.81/14.70 [388]P61(a1)
% 14.81/14.70 [389]P66(a68)
% 14.81/14.70 [390]P66(a1)
% 14.81/14.70 [391]P66(a69)
% 14.81/14.70 [392]P57(a68)
% 14.81/14.70 [393]P57(a1)
% 14.81/14.70 [394]P57(a69)
% 14.81/14.70 [395]P69(a68)
% 14.81/14.70 [396]P69(a1)
% 14.81/14.70 [397]P69(a69)
% 14.81/14.70 [398]P70(a68)
% 14.81/14.70 [399]P70(a1)
% 14.81/14.70 [400]P72(a68)
% 14.81/14.70 [401]P72(a1)
% 14.81/14.70 [402]P72(a69)
% 14.81/14.70 [403]P71(a68)
% 14.81/14.70 [404]P71(a1)
% 14.81/14.70 [405]P71(a69)
% 14.81/14.70 [406]P22(a68)
% 14.81/14.70 [407]P22(a12)
% 14.81/14.70 [408]P22(a1)
% 14.81/14.70 [409]P22(a69)
% 14.81/14.70 [410]P20(a68)
% 14.81/14.70 [411]P20(a12)
% 14.81/14.70 [412]P20(a1)
% 14.81/14.70 [413]P20(a69)
% 14.81/14.70 [575]~P77(a500)
% 14.81/14.70 [578]~P3(a1,a11,a11)
% 14.81/14.70 [196]E(f2(a1),a11)
% 14.81/14.70 [416]E(f8(a1,a11),a11)
% 14.81/14.70 [418]E(f14(a1,a11),f2(a1))
% 14.81/14.70 [420]E(f14(a69,a11),f2(a69))
% 14.81/14.70 [437]P3(a68,f2(a68),a22)
% 14.81/14.70 [438]P2(a68,f2(a68),a72)
% 14.81/14.70 [449]P3(a1,f2(a1),f3(a1))
% 14.81/14.70 [451]P2(a1,f2(a1),f3(a1))
% 14.81/14.70 [454]P2(a68,f21(a12,a75),a72)
% 14.81/14.70 [455]P2(a68,f21(a12,a23),a72)
% 14.81/14.70 [456]P2(a1,f2(a1),f14(a1,a11))
% 14.81/14.70 [576]~E(f3(a68),f2(a68))
% 14.81/14.70 [577]~E(f3(a1),f2(a1))
% 14.81/14.70 [581]~P3(a1,a11,f2(a1))
% 14.81/14.70 [414]E(f13(f2(a68)),f2(a68))
% 14.81/14.70 [415]E(f13(f3(a68)),f3(a68))
% 14.81/14.70 [421]E(f8(a1,f2(a1)),f2(a1))
% 14.81/14.70 [422]E(f16(a69,f2(a69)),f2(a68))
% 14.81/14.70 [423]E(f16(a69,f3(a69)),f3(a68))
% 14.81/14.70 [459]P2(a68,f21(a12,f2(a12)),a72)
% 14.81/14.70 [461]E(f21(a12,f45(f18(a12,a73),a23)),f8(a68,a24))
% 14.81/14.70 [476]E(f16(a69,f9(a69,f2(a69),f3(a69))),f3(a68))
% 14.81/14.70 [537]P3(a68,f2(a68),f4(a68,f7(a68,f21(a12,f45(f18(a12,a73),a77)),f8(a68,a76))))
% 14.81/14.70 [519]E(f14(a1,f9(a1,f9(a1,f3(a1),a11),a11)),f3(a1))
% 14.81/14.70 [521]E(f14(a69,f9(a1,f9(a1,f3(a1),a11),a11)),f3(a69))
% 14.81/14.70 [524]E(f14(a69,f9(a1,f9(a1,f3(a1),a11),a11)),f9(a69,f2(a69),f3(a69)))
% 14.81/14.70 [528]E(f8(a68,f8(a68,f21(a12,f45(f18(a12,a73),f2(a12))))),f21(a12,f45(f18(a12,a73),f2(a12))))
% 14.81/14.70 [539]E(f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),f9(a69,f3(a69),f3(a69)))
% 14.81/14.70 [541]E(f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69)))
% 14.81/14.70 [546]E(f14(a69,f9(a1,f9(a1,f3(a1),f9(a1,f9(a1,f3(a1),a11),a11)),f9(a1,f9(a1,f3(a1),a11),a11))),f9(a69,f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69)),f3(a69)))
% 14.81/14.70 [547]P3(a69,f2(a69),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))
% 14.81/14.70 [548]P2(a1,f2(a1),f14(a1,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))
% 14.81/14.70 [554]P2(a1,f2(a1),f14(a1,f9(a1,f9(a1,f3(a1),f9(a1,f9(a1,f3(a1),a11),a11)),f9(a1,f9(a1,f3(a1),a11),a11))))
% 14.81/14.70 [556]P3(a68,f2(a68),f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [557]P3(a68,f3(a68),f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [558]P2(a68,f2(a68),f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [562]P3(a68,f2(a68),f25(a68,f4(a68,f7(a68,f21(a12,f45(f18(a12,a73),a77)),f8(a68,a76))),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [434]P2(a68,x4341,x4341)
% 14.81/14.70 [435]P2(a1,x4351,x4351)
% 14.81/14.70 [436]P2(a69,x4361,x4361)
% 14.81/14.70 [580]~P3(a69,x5801,x5801)
% 14.81/14.70 [417]E(f14(a1,x4171),x4171)
% 14.81/14.70 [424]E(f21(a68,x4241),f4(a68,x4241))
% 14.81/14.70 [431]E(f7(a1,x4311,a11),x4311)
% 14.81/14.70 [432]E(f9(a1,x4321,a11),x4321)
% 14.81/14.70 [433]E(f9(a1,a11,x4331),x4331)
% 14.81/14.70 [439]E(f7(a69,x4391,x4391),f2(a69))
% 14.81/14.70 [441]P2(a69,f2(a69),x4411)
% 14.81/14.70 [458]P2(a68,f2(a68),f16(a69,x4581))
% 14.81/14.70 [584]~P3(a69,x5841,f2(a69))
% 14.81/14.70 [593]~P3(a68,f16(a69,x5931),f2(a68))
% 14.81/14.70 [425]E(f17(f16(a69,x4251)),x4251)
% 14.81/14.70 [426]E(f8(a1,f8(a1,x4261)),x4261)
% 14.81/14.70 [427]E(f13(f8(a68,x4271)),f8(a68,f13(x4271)))
% 14.81/14.70 [428]E(f4(a68,f16(a69,x4281)),f16(a69,x4281))
% 14.81/14.70 [442]E(f7(a69,x4421,f2(a69)),x4421)
% 14.81/14.70 [443]E(f9(a1,x4431,f2(a1)),x4431)
% 14.81/14.70 [444]E(f9(a69,x4441,f2(a69)),x4441)
% 14.81/14.70 [445]E(f9(a1,f2(a1),x4451),x4451)
% 14.81/14.70 [446]E(f9(a69,f2(a69),x4461),x4461)
% 14.81/14.70 [447]E(f10(a68,f3(a68),x4471),x4471)
% 14.81/14.70 [448]E(f7(a69,f2(a69),x4481),f2(a69))
% 14.81/14.70 [453]E(f8(a1,f14(a1,x4531)),f14(a1,f8(a1,x4531)))
% 14.81/14.70 [457]E(f9(a1,f8(a1,x4571),x4571),f2(a1))
% 14.81/14.70 [462]P2(a68,f21(a12,f74(x4621)),a72)
% 14.81/14.70 [463]P2(a68,f21(a12,f46(x4631)),a72)
% 14.81/14.70 [464]P2(a68,f21(a12,f51(x4641)),a72)
% 14.81/14.70 [469]E(f13(f10(a68,x4691,x4691)),f4(a68,x4691))
% 14.81/14.70 [470]P2(a68,f21(a12,f45(a52,x4701)),a72)
% 14.81/14.70 [477]P2(a68,f8(a68,f21(a12,x4771)),f21(a12,x4771))
% 14.81/14.70 [484]P3(a69,x4841,f9(a69,x4841,f3(a69)))
% 14.81/14.70 [485]P3(a69,f2(a69),f9(a69,x4851,f3(a69)))
% 14.81/14.70 [494]P3(a68,f2(a68),f9(a68,f3(a68),f4(a68,x4941)))
% 14.81/14.70 [526]E(f9(a1,f7(a1,a11,x5261),f7(a1,a11,x5261)),f7(a1,a11,f9(a1,x5261,x5261)))
% 14.81/14.70 [586]~E(f9(a69,x5861,f3(a69)),x5861)
% 14.81/14.70 [592]~E(f9(a69,x5921,f3(a69)),f2(a69))
% 14.81/14.70 [598]~P2(a69,f9(a69,x5981,f3(a69)),x5981)
% 14.81/14.70 [600]~P3(a68,f9(a68,f4(a68,x6001),f3(a68)),x6001)
% 14.81/14.70 [492]E(f9(a68,f16(a69,x4921),f3(a68)),f16(a69,f9(a69,x4921,f3(a69))))
% 14.81/14.70 [499]E(f20(a69,f9(a69,f2(a69),f3(a69)),x4991),f9(a69,f2(a69),f3(a69)))
% 14.81/14.70 [502]P3(a68,f2(a68),f16(a69,f9(a69,x5021,f3(a69))))
% 14.81/14.70 [597]~E(f9(a1,f9(a1,f3(a1),x5971),x5971),a11)
% 14.81/14.70 [599]~E(f9(a1,f9(a1,f3(a1),x5991),x5991),f2(a1))
% 14.81/14.70 [542]P3(a68,f21(a12,f45(f18(a12,a73),f74(x5421))),f9(a68,f8(a68,a76),f25(a68,f3(a68),f16(a69,f9(a69,x5421,f3(a69))))))
% 14.81/14.70 [543]P3(a68,f21(a12,f45(f18(a12,a73),f46(x5431))),f9(a68,f8(a68,a76),f25(a68,f3(a68),f16(a69,f9(a69,x5431,f3(a69))))))
% 14.81/14.70 [544]P3(a68,f21(a12,f45(f18(a12,a73),f51(x5441))),f9(a68,f8(a68,a76),f25(a68,f3(a68),f16(a69,f9(a69,x5441,f3(a69))))))
% 14.81/14.70 [545]P3(a68,f21(a12,f45(f18(a12,a73),f45(a52,x5451))),f9(a68,f8(a68,a76),f25(a68,f3(a68),f16(a69,f9(a69,x5451,f3(a69))))))
% 14.81/14.70 [549]E(f20(a12,f5(x5491),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),x5491)
% 14.81/14.70 [551]E(f9(a69,x5511,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f9(a69,f9(a69,x5511,f3(a69)),f3(a69)))
% 14.81/14.70 [552]E(f9(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),x5521),f9(a69,f9(a69,x5521,f3(a69)),f3(a69)))
% 14.81/14.70 [555]E(f9(a69,f14(a69,f9(a1,f9(a1,f3(a1),f9(a1,f9(a1,f3(a1),a11),a11)),f9(a1,f9(a1,f3(a1),a11),a11))),x5551),f9(a69,f9(a69,f9(a69,x5551,f3(a69)),f3(a69)),f3(a69)))
% 14.81/14.70 [560]P2(a68,f3(a68),f20(a68,f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),x5601))
% 14.81/14.70 [561]P3(a68,f16(a69,x5611),f20(a68,f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),x5611))
% 14.81/14.70 [559]E(f13(f20(a68,x5591,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f4(a68,x5591))
% 14.81/14.70 [565]E(f9(a68,f25(a68,x5651,f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f25(a68,x5651,f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),x5651)
% 14.81/14.70 [460]P3(a68,f2(a68),f37(x4601,x4602))
% 14.81/14.70 [465]E(f9(a1,x4651,x4652),f9(a1,x4652,x4651))
% 14.81/14.70 [466]E(f9(a69,x4661,x4662),f9(a69,x4662,x4661))
% 14.81/14.70 [467]E(f10(a68,x4671,x4672),f10(a68,x4672,x4671))
% 14.81/14.70 [478]P2(a69,x4781,f9(a69,x4782,x4781))
% 14.81/14.70 [479]P2(a69,x4791,f9(a69,x4791,x4792))
% 14.81/14.70 [480]P2(a69,f7(a69,x4801,x4802),x4801)
% 14.81/14.70 [594]~P3(a69,f9(a69,x5941,x5942),x5942)
% 14.81/14.70 [595]~P3(a69,f9(a69,x5951,x5952),x5951)
% 14.81/14.70 [472]E(f9(a68,x4721,f8(a68,x4722)),f7(a68,x4721,x4722))
% 14.81/14.70 [473]E(f9(a12,x4731,f8(a12,x4732)),f7(a12,x4731,x4732))
% 14.81/14.70 [475]E(f9(a1,x4751,f8(a1,x4752)),f7(a1,x4751,x4752))
% 14.81/14.70 [481]E(f7(a69,f9(a69,x4811,x4812),x4812),x4811)
% 14.81/14.70 [482]E(f7(a69,f9(a69,x4821,x4822),x4821),x4822)
% 14.81/14.70 [483]E(f7(a69,x4831,f9(a69,x4831,x4832)),f2(a69))
% 14.81/14.70 [486]E(f13(f20(a68,x4861,x4862)),f20(a68,f13(x4861),x4862))
% 14.81/14.70 [488]E(f25(a68,f13(x4881),f13(x4882)),f13(f25(a68,x4881,x4882)))
% 14.81/14.70 [489]E(f10(a68,f13(x4891),f13(x4892)),f13(f10(a68,x4891,x4892)))
% 14.81/14.70 [491]E(f20(a68,f16(a69,x4911),x4912),f16(a69,f20(a69,x4911,x4912)))
% 14.81/14.70 [493]P2(a1,f2(a1),f20(a1,f4(a1,x4931),x4932))
% 14.81/14.70 [495]E(f9(a1,f8(a1,x4951),f8(a1,x4952)),f8(a1,f9(a1,x4951,x4952)))
% 14.81/14.70 [497]E(f9(a68,f16(a69,x4971),f16(a69,x4972)),f16(a69,f9(a69,x4971,x4972)))
% 14.81/14.70 [498]E(f9(a1,f14(a1,x4981),f14(a1,x4982)),f14(a1,f9(a1,x4981,x4982)))
% 14.81/14.70 [501]P3(a69,f7(a69,x5011,x5012),f9(a69,x5011,f3(a69)))
% 14.81/14.70 [512]E(f25(a68,f10(a68,x5121,x5122),f10(a68,x5121,x5121)),f25(a68,x5122,x5121))
% 14.81/14.70 [522]P3(a69,x5221,f9(a69,f9(a69,x5222,x5221),f3(a69)))
% 14.81/14.70 [523]P3(a69,x5231,f9(a69,f9(a69,x5231,x5232),f3(a69)))
% 14.81/14.70 [525]P2(a68,f8(a68,f10(a68,x5251,x5251)),f10(a68,x5252,x5252))
% 14.81/14.70 [529]E(f9(a1,f7(a1,x5291,x5292),f7(a1,x5291,x5292)),f7(a1,f9(a1,x5291,x5291),f9(a1,x5292,x5292)))
% 14.81/14.70 [530]E(f9(a1,f9(a1,x5301,x5301),f9(a1,x5302,x5302)),f9(a1,f9(a1,x5301,x5302),f9(a1,x5301,x5302)))
% 14.81/14.70 [532]P2(a68,f21(a12,x5321),f9(a68,f21(a12,f9(a12,x5321,x5322)),f21(a12,x5322)))
% 14.81/14.70 [533]P2(a68,f7(a68,f21(a12,f9(a12,x5331,x5332)),f21(a12,x5331)),f21(a12,x5332))
% 14.81/14.70 [535]E(f9(a1,f9(a1,f3(a1),f7(a1,x5351,x5352)),f7(a1,x5351,x5352)),f7(a1,f9(a1,f9(a1,f3(a1),x5351),x5351),f9(a1,x5352,x5352)))
% 14.81/14.70 [536]E(f9(a1,f9(a1,f9(a1,f3(a1),x5361),x5361),f9(a1,x5362,x5362)),f9(a1,f9(a1,f3(a1),f9(a1,x5361,x5362)),f9(a1,x5361,x5362)))
% 14.81/14.70 [500]E(f7(a1,f14(a1,x5001),f14(a1,x5002)),f14(a1,f9(a1,x5001,f8(a1,x5002))))
% 14.81/14.70 [514]E(f9(a69,f9(a69,x5141,f3(a69)),x5142),f9(a69,f9(a69,x5141,x5142),f3(a69)))
% 14.81/14.70 [515]E(f4(a68,f9(a68,x5151,f8(a68,x5152))),f4(a68,f9(a68,x5152,f8(a68,x5151))))
% 14.81/14.70 [516]E(f7(a69,f7(a69,x5161,f3(a69)),x5162),f7(a69,x5161,f9(a69,x5162,f3(a69))))
% 14.81/14.70 [517]E(f9(a69,f9(a69,x5171,f3(a69)),x5172),f9(a69,x5171,f9(a69,x5172,f3(a69))))
% 14.81/14.70 [602]~E(f9(a1,x6021,x6021),f9(a1,f9(a1,f3(a1),x6022),x6022))
% 14.81/14.70 [534]E(f9(a1,f9(a1,x5341,x5341),f9(a1,f9(a1,f3(a1),x5342),x5342)),f9(a1,f9(a1,f3(a1),f9(a1,x5341,x5342)),f9(a1,x5341,x5342)))
% 14.81/14.70 [538]E(f7(a1,f9(a1,f9(a1,f3(a1),x5381),x5381),f9(a1,f9(a1,f3(a1),x5382),x5382)),f9(a1,f7(a1,x5381,x5382),f7(a1,x5381,x5382)))
% 14.81/14.70 [563]E(f7(a68,f25(a68,f9(a68,x5631,x5632),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),x5632),f25(a68,f7(a68,x5631,x5632),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [564]E(f7(a68,f25(a68,f9(a68,x5641,x5642),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),x5641),f25(a68,f7(a68,x5642,x5641),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [566]P2(a68,f8(a68,f20(a68,x5661,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f20(a68,x5662,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [567]P2(a68,x5671,f13(f9(a68,f20(a68,x5672,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5671,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))
% 14.81/14.70 [568]P2(a68,x5681,f13(f9(a68,f20(a68,x5681,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5682,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))
% 14.81/14.70 [569]P2(a68,f2(a68),f13(f9(a68,f20(a68,x5691,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5692,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))
% 14.81/14.70 [570]P2(a68,f4(a68,x5701),f13(f9(a68,f20(a68,x5702,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5701,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))
% 14.81/14.70 [571]P2(a68,f4(a68,x5711),f13(f9(a68,f20(a68,x5711,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5712,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))
% 14.81/14.70 [573]P2(a68,f4(a68,f25(a68,x5731,f13(f9(a68,f20(a68,x5731,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5732,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))),f3(a68))
% 14.81/14.70 [503]E(f9(a1,x5031,f9(a1,x5032,x5033)),f9(a1,x5032,f9(a1,x5031,x5033)))
% 14.81/14.70 [504]E(f9(a69,x5041,f9(a69,x5042,x5043)),f9(a69,x5042,f9(a69,x5041,x5043)))
% 14.81/14.70 [505]E(f7(a69,f7(a69,x5051,x5052),x5053),f7(a69,x5051,f9(a69,x5052,x5053)))
% 14.81/14.70 [506]E(f9(a1,f9(a1,x5061,x5062),x5063),f9(a1,x5061,f9(a1,x5062,x5063)))
% 14.81/14.70 [507]E(f9(a69,f9(a69,x5071,x5072),x5073),f9(a69,x5071,f9(a69,x5072,x5073)))
% 14.81/14.70 [508]E(f10(a68,f10(a68,x5081,x5082),x5083),f10(a68,x5081,f10(a68,x5082,x5083)))
% 14.81/14.70 [509]E(f7(a69,f7(a69,x5091,x5092),x5093),f7(a69,f7(a69,x5091,x5093),x5092))
% 14.81/14.70 [510]E(f7(a69,f9(a69,x5101,x5102),f9(a69,x5103,x5102)),f7(a69,x5101,x5103))
% 14.81/14.70 [511]E(f7(a69,f9(a69,x5111,x5112),f9(a69,x5111,x5113)),f7(a69,x5112,x5113))
% 14.81/14.70 [527]E(f9(a68,f10(a68,x5271,x5272),f10(a68,x5273,x5272)),f10(a68,f9(a68,x5271,x5273),x5272))
% 14.81/14.70 [531]E(f7(a69,f7(a69,f9(a69,x5311,f3(a69)),x5312),f9(a69,x5313,f3(a69))),f7(a69,f7(a69,x5311,x5312),x5313))
% 14.81/14.70 [553]E(f7(a68,f45(x5531,x5532),f10(a68,f25(a68,f7(a68,f45(x5531,x5533),f45(x5531,x5532)),f7(a68,x5533,x5532)),x5532)),f7(a68,f45(x5531,x5533),f10(a68,f25(a68,f7(a68,f45(x5531,x5533),f45(x5531,x5532)),f7(a68,x5533,x5532)),x5533)))
% 14.81/14.70 [550]P2(a68,f4(a68,f9(a68,f9(a68,x5501,x5502),f9(a68,f8(a68,x5503),f8(a68,x5504)))),f9(a68,f4(a68,f9(a68,x5501,f8(a68,x5503))),f4(a68,f9(a68,x5502,f8(a68,x5504)))))
% 14.81/14.70 [572]P2(a68,f2(a68),f13(f10(a68,f9(a68,f20(a68,x5721,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5722,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f9(a68,f20(a68,x5723,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5724,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))))))
% 14.81/14.70 [574]P2(a68,f13(f9(a68,f20(a68,f9(a68,x5741,x5742),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f9(a68,x5743,x5744),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),f9(a68,f13(f9(a68,f20(a68,x5741,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5743,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),f13(f9(a68,f20(a68,x5742,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x5744,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))))))
% 14.81/14.70 [1169]~P3(a68,f8(a68,a76),f8(a68,a76))+P2(a68,f21(a12,a32),a72)
% 14.81/14.70 [1487]~P3(a68,f8(a68,a76),f8(a68,a76))+P3(a68,f21(a12,f45(f18(a12,a73),a32)),f8(a68,a76))
% 14.81/14.70 [603]~E(x6031,f2(a68))+E(f13(x6031),f2(a68))
% 14.81/14.70 [604]~E(x6041,f3(a68))+E(f13(x6041),f3(a68))
% 14.81/14.70 [605]~E(f13(x6051),f2(a68))+E(x6051,f2(a68))
% 14.81/14.70 [606]~E(f13(x6061),f3(a68))+E(x6061,f3(a68))
% 14.81/14.70 [608]~P52(x6081)+P10(f70(x6081))
% 14.81/14.70 [609]~P35(x6091)+P35(f70(x6091))
% 14.81/14.70 [610]~P35(x6101)+P37(f70(x6101))
% 14.81/14.70 [611]~P52(x6111)+P11(f70(x6111))
% 14.81/14.70 [612]~P35(x6121)+P12(f70(x6121))
% 14.81/14.70 [613]~P35(x6131)+P13(f70(x6131))
% 14.81/14.70 [614]~P14(x6141)+P17(f70(x6141))
% 14.81/14.70 [615]~P35(x6151)+P23(f70(x6151))
% 14.81/14.70 [616]~P29(x6161)+P29(f70(x6161))
% 14.81/14.70 [617]~P14(x6171)+P14(f70(x6171))
% 14.81/14.70 [618]~P35(x6181)+P24(f70(x6181))
% 14.81/14.70 [619]~P50(x6191)+P50(f70(x6191))
% 14.81/14.70 [620]~P51(x6201)+P51(f70(x6201))
% 14.81/14.70 [621]~P35(x6211)+P38(f70(x6211))
% 14.81/14.70 [622]~P56(x6221)+P56(f70(x6221))
% 14.81/14.70 [623]~P35(x6231)+P41(f70(x6231))
% 14.81/14.70 [624]~P35(x6241)+P42(f70(x6241))
% 14.81/14.70 [625]~P35(x6251)+P43(f70(x6251))
% 14.81/14.70 [626]~P14(x6261)+P25(f70(x6261))
% 14.81/14.70 [627]~P14(x6271)+P30(f70(x6271))
% 14.81/14.70 [628]~P54(x6281)+P26(f70(x6281))
% 14.81/14.70 [629]~P54(x6291)+P54(f70(x6291))
% 14.81/14.70 [630]~P54(x6301)+P58(f70(x6301))
% 14.81/14.70 [631]~P35(x6311)+P59(f70(x6311))
% 14.81/14.70 [632]~P21(x6321)+P15(f70(x6321))
% 14.81/14.70 [633]~P20(x6331)+P18(f70(x6331))
% 14.81/14.70 [634]~P20(x6341)+P19(f70(x6341))
% 14.81/14.70 [635]~P35(x6351)+P31(f70(x6351))
% 14.81/14.70 [636]~P35(x6361)+P33(f70(x6361))
% 14.81/14.70 [637]~P35(x6371)+P32(f70(x6371))
% 14.81/14.70 [638]~P21(x6381)+P21(f70(x6381))
% 14.81/14.70 [639]~P21(x6391)+P27(f70(x6391))
% 14.81/14.70 [640]~P35(x6401)+P34(f70(x6401))
% 14.81/14.70 [641]~P54(x6411)+P62(f70(x6411))
% 14.81/14.70 [642]~P56(x6421)+P63(f70(x6421))
% 14.81/14.70 [643]~P52(x6431)+P64(f70(x6431))
% 14.81/14.70 [644]~P54(x6441)+P28(f70(x6441))
% 14.81/14.70 [645]~P54(x6451)+P44(f70(x6451))
% 14.81/14.70 [646]~P51(x6461)+P65(f70(x6461))
% 14.81/14.70 [647]~P56(x6471)+P67(f70(x6471))
% 14.81/14.70 [648]~P51(x6481)+P73(f70(x6481))
% 14.81/14.70 [649]~P56(x6491)+P76(f70(x6491))
% 14.81/14.70 [650]~P52(x6501)+P52(f70(x6501))
% 14.81/14.70 [651]~P51(x6511)+P53(f70(x6511))
% 14.81/14.70 [652]~P51(x6521)+P74(f70(x6521))
% 14.81/14.70 [653]~P35(x6531)+P60(f70(x6531))
% 14.81/14.70 [654]~P50(x6541)+P68(f70(x6541))
% 14.81/14.70 [655]~P51(x6551)+P16(f70(x6551))
% 14.81/14.70 [656]~P56(x6561)+P75(f70(x6561))
% 14.81/14.70 [657]~P35(x6571)+P61(f70(x6571))
% 14.81/14.70 [658]~P35(x6581)+P66(f70(x6581))
% 14.81/14.70 [659]~P35(x6591)+P57(f70(x6591))
% 14.81/14.70 [660]~P35(x6601)+P69(f70(x6601))
% 14.81/14.70 [661]~P35(x6611)+P70(f70(x6611))
% 14.81/14.70 [662]~P35(x6621)+P72(f70(x6621))
% 14.81/14.70 [663]~P35(x6631)+P71(f70(x6631))
% 14.81/14.70 [664]~P54(x6641)+P22(f70(x6641))
% 14.81/14.70 [665]~P20(x6651)+P20(f70(x6651))
% 14.81/14.70 [667]~P58(x6671)+~E(f3(x6671),f2(x6671))
% 14.81/14.70 [668]~E(x6681,f2(a69))+E(f16(a69,x6681),f2(a68))
% 14.81/14.70 [670]~P10(x6701)+E(f14(x6701,a11),f2(x6701))
% 14.81/14.70 [671]~P62(x6711)+P4(x6711,f2(x6711))
% 14.81/14.70 [672]E(x6721,f2(a69))+~E(f16(a69,x6721),f2(a68))
% 14.81/14.70 [695]~P62(x6951)+~P4(x6951,f3(x6951))
% 14.81/14.70 [701]~P10(x7011)+P4(x7011,f14(x7011,a11))
% 14.81/14.70 [711]~E(a11,x7111)+E(f9(a1,x7111,x7111),a11)
% 14.81/14.70 [712]~E(x7121,a11)+E(f9(a1,x7121,x7121),a11)
% 14.81/14.70 [721]E(x7211,f2(a69))+P3(a69,f2(a69),x7211)
% 14.81/14.70 [760]E(f4(a68,x7601),x7601)+P3(a68,x7601,f2(a68))
% 14.81/14.70 [761]E(f4(a1,x7611),x7611)+P3(a1,x7611,f2(a1))
% 14.81/14.70 [762]P1(x7621)+P3(a69,f53(x7621),f57(x7621))
% 14.81/14.70 [778]~P59(x7781)+P3(x7781,f2(x7781),f3(x7781))
% 14.81/14.70 [779]~P59(x7791)+P2(x7791,f2(x7791),f3(x7791))
% 14.81/14.70 [788]P2(a1,x7881,a11)+~E(f14(a69,x7881),f2(a69))
% 14.81/14.70 [799]~E(x7991,f2(a1))+P3(a1,f4(a1,x7991),f3(a1))
% 14.81/14.70 [800]~E(x8001,f2(a69))+P2(a68,f16(a69,x8001),f2(a68))
% 14.81/14.70 [801]E(x8011,a11)+~E(f9(a1,x8011,x8011),a11)
% 14.81/14.70 [802]E(a11,x8021)+~E(f9(a1,x8021,x8021),a11)
% 14.81/14.70 [830]E(x8301,f2(a69))+~P2(a69,x8301,f2(a69))
% 14.81/14.70 [837]~P2(a1,x8371,a11)+E(f14(a69,x8371),f2(a69))
% 14.81/14.70 [849]~E(f13(x8491),f2(a68))+~P3(a68,f2(a68),x8491)
% 14.81/14.70 [875]~P59(x8751)+~P3(x8751,f3(x8751),f2(x8751))
% 14.81/14.70 [876]~P59(x8761)+~P2(x8761,f3(x8761),f2(x8761))
% 14.81/14.70 [878]E(f4(a68,x8781),f8(a68,x8781))+~P3(a68,x8781,f2(a68))
% 14.81/14.70 [879]E(f4(a1,x8791),f8(a1,x8791))+~P3(a1,x8791,f2(a1))
% 14.81/14.70 [913]E(x9131,f2(a1))+~P3(a1,f4(a1,x9131),f3(a1))
% 14.81/14.70 [914]E(x9141,f2(a69))+~P2(a68,f16(a69,x9141),f2(a68))
% 14.81/14.70 [941]~P3(a68,x9411,a76)+P3(a68,x9411,f27(x9411))
% 14.81/14.70 [942]~P3(a68,x9421,a29)+P3(a68,x9421,f28(x9421))
% 14.81/14.70 [950]~P2(a1,f3(a1),x9501)+P3(a1,f2(a1),x9501)
% 14.81/14.70 [951]~P3(a1,f2(a1),x9511)+P2(a1,f3(a1),x9511)
% 14.81/14.70 [974]~P3(a68,x9741,f2(a68))+P3(a68,f13(x9741),f2(a68))
% 14.81/14.70 [975]~P3(a68,x9751,f3(a68))+P3(a68,f13(x9751),f3(a68))
% 14.81/14.70 [976]~P2(a68,x9761,f2(a68))+P2(a68,f13(x9761),f2(a68))
% 14.81/14.70 [977]~P2(a68,x9771,f3(a68))+P2(a68,f13(x9771),f3(a68))
% 14.81/14.70 [979]~P3(a68,f2(a68),x9791)+P3(a68,f2(a68),f13(x9791))
% 14.81/14.70 [980]~P3(a68,f3(a68),x9801)+P3(a68,f3(a68),f13(x9801))
% 14.81/14.70 [982]~P2(a68,f2(a68),x9821)+P2(a68,f2(a68),f13(x9821))
% 14.81/14.70 [984]~P2(a68,f3(a68),x9841)+P2(a68,f3(a68),f13(x9841))
% 14.81/14.70 [987]~P3(a68,f13(x9871),f2(a68))+P3(a68,x9871,f2(a68))
% 14.81/14.70 [988]~P3(a68,f13(x9881),f3(a68))+P3(a68,x9881,f3(a68))
% 14.81/14.70 [989]~P2(a68,f13(x9891),f2(a68))+P2(a68,x9891,f2(a68))
% 14.81/14.70 [990]~P2(a68,f13(x9901),f3(a68))+P2(a68,x9901,f3(a68))
% 14.81/14.70 [991]~P3(a68,f2(a68),f13(x9911))+P3(a68,f2(a68),x9911)
% 14.81/14.70 [992]~P3(a68,f3(a68),f13(x9921))+P3(a68,f3(a68),x9921)
% 14.81/14.70 [993]~P2(a68,f2(a68),f13(x9931))+P2(a68,f2(a68),x9931)
% 14.81/14.70 [994]~P2(a68,f3(a68),f13(x9941))+P2(a68,f3(a68),x9941)
% 14.81/14.70 [1010]~P3(a1,a11,x10101)+P3(a69,f2(a69),f14(a69,x10101))
% 14.81/14.70 [1012]E(x10121,f2(a68))+P3(a68,f2(a68),f10(a68,x10121,x10121))
% 14.81/14.70 [1019]~P3(a69,f2(a69),x10191)+P3(a68,f2(a68),f16(a69,x10191))
% 14.81/14.70 [1042]P3(a1,a11,x10421)+~P3(a69,f2(a69),f14(a69,x10421))
% 14.81/14.70 [1065]P3(a69,f2(a69),x10651)+~P3(a68,f2(a68),f16(a69,x10651))
% 14.81/14.70 [1207]~P3(a1,a11,x12071)+P3(a1,a11,f9(a1,x12071,x12071))
% 14.81/14.70 [1208]~P2(a1,a11,x12081)+P2(a1,a11,f9(a1,x12081,x12081))
% 14.81/14.70 [1209]~P3(a1,x12091,a11)+P3(a1,f9(a1,x12091,x12091),a11)
% 14.81/14.70 [1210]~P2(a1,x12101,a11)+P2(a1,f9(a1,x12101,x12101),a11)
% 14.81/14.70 [1257]~P3(a1,x12571,f2(a1))+P3(a1,f9(a1,x12571,x12571),f2(a1))
% 14.81/14.70 [1266]~E(x12661,f2(a68))+~P3(a68,f2(a68),f10(a68,x12661,x12661))
% 14.81/14.70 [1297]P3(a1,x12971,a11)+~P3(a1,f9(a1,x12971,x12971),a11)
% 14.81/14.70 [1298]P2(a1,x12981,a11)+~P2(a1,f9(a1,x12981,x12981),a11)
% 14.81/14.70 [1299]P3(a1,a11,x12991)+~P3(a1,a11,f9(a1,x12991,x12991))
% 14.81/14.70 [1300]P2(a1,a11,x13001)+~P2(a1,a11,f9(a1,x13001,x13001))
% 14.81/14.70 [1325]P3(a1,x13251,f2(a1))+~P3(a1,f9(a1,x13251,x13251),f2(a1))
% 14.81/14.70 [673]~P48(x6731)+E(f21(x6731,f2(x6731)),f2(a68))
% 14.81/14.70 [674]~P36(x6741)+E(f21(x6741,f3(x6741)),f3(a68))
% 14.81/14.70 [678]~P17(x6781)+E(f8(x6781,f2(x6781)),f2(x6781))
% 14.81/14.70 [679]~P12(x6791)+E(f4(x6791,f2(x6791)),f2(x6791))
% 14.81/14.70 [680]~P35(x6801)+E(f4(x6801,f3(x6801)),f3(x6801))
% 14.81/14.70 [985]~P3(a69,f2(a69),x9851)+E(f9(a69,f47(x9851),f3(a69)),x9851)
% 14.81/14.70 [1024]~P3(a68,x10241,a76)+P2(a68,f21(a12,f30(x10241)),a72)
% 14.81/14.70 [1025]~P3(a68,x10251,a29)+P2(a68,f21(a12,f36(x10251)),a72)
% 14.81/14.70 [1109]~P59(x11091)+P3(x11091,f2(x11091),f9(x11091,f3(x11091),f3(x11091)))
% 14.81/14.70 [1115]~P3(a68,f8(a68,a76),x11151)+P2(a68,f21(a12,f31(x11151)),a72)
% 14.81/14.70 [1116]~P3(a68,f8(a68,a76),x11161)+P2(a68,f21(a12,f33(x11161)),a72)
% 14.81/14.70 [1130]P1(x11301)+~P3(a69,f45(x11301,f53(x11301)),f45(x11301,f57(x11301)))
% 14.81/14.70 [1263]~P2(a1,f2(a1),x12631)+P3(a1,f2(a1),f9(a1,f3(a1),x12631))
% 14.81/14.70 [1265]~P3(a69,f2(a69),x12651)+E(f9(a69,f7(a69,x12651,f3(a69)),f3(a69)),x12651)
% 14.81/14.70 [1273]E(x12731,f2(a69))+~P3(a69,x12731,f9(a69,f2(a69),f3(a69)))
% 14.81/14.70 [1530]~P2(a1,f2(a1),f14(a1,x15301))+P2(a1,f2(a1),f14(a1,f9(a1,x15301,x15301)))
% 14.81/14.70 [1615]~P3(a69,f2(a69),x16151)+E(f9(a69,f7(a69,x16151,f9(a69,f2(a69),f3(a69))),f3(a69)),x16151)
% 14.81/14.70 [713]~P14(x7131)+E(f8(f70(x7131),f2(f70(x7131))),f2(f70(x7131)))
% 14.81/14.70 [1097]~P3(a68,x10971,a76)+E(f21(a12,f45(f18(a12,a73),f30(x10971))),f8(a68,f27(x10971)))
% 14.81/14.70 [1098]~P3(a68,x10981,a29)+E(f21(a12,f45(f18(a12,a73),f36(x10981))),f8(a68,f28(x10981)))
% 14.81/14.70 [1414]~P2(a68,f21(a12,x14141),a72)+P2(a68,f8(a68,a76),f21(a12,f45(f18(a12,a73),x14141)))
% 14.81/14.70 [1415]~P3(a68,f8(a68,a76),x14151)+P3(a68,f21(a12,f45(f18(a12,a73),f31(x14151))),x14151)
% 14.81/14.70 [1579]~P2(a1,a11,x15791)+P3(a1,a11,f9(a1,f9(a1,f3(a1),x15791),x15791))
% 14.81/14.70 [1580]~P2(a1,a11,x15801)+P2(a1,a11,f9(a1,f9(a1,f3(a1),x15801),x15801))
% 14.81/14.70 [1581]~P3(a1,x15811,a11)+P3(a1,f9(a1,f9(a1,f3(a1),x15811),x15811),a11)
% 14.81/14.70 [1582]~P3(a1,x15821,a11)+P2(a1,f9(a1,f9(a1,f3(a1),x15821),x15821),a11)
% 14.81/14.70 [1613]~P3(a1,x16131,f2(a1))+P3(a1,f9(a1,f9(a1,f3(a1),x16131),x16131),f2(a1))
% 14.81/14.70 [1690]P1(x16901)+~P3(a69,f45(x16901,f50(x16901)),f45(x16901,f9(a69,f50(x16901),f3(a69))))
% 14.81/14.70 [1716]P3(a1,x17161,a11)+~P3(a1,f9(a1,f9(a1,f3(a1),x17161),x17161),a11)
% 14.81/14.70 [1717]P3(a1,x17171,a11)+~P2(a1,f9(a1,f9(a1,f3(a1),x17171),x17171),a11)
% 14.81/14.70 [1718]P2(a1,a11,x17181)+~P3(a1,a11,f9(a1,f9(a1,f3(a1),x17181),x17181))
% 14.81/14.70 [1719]P2(a1,a11,x17191)+~P2(a1,a11,f9(a1,f9(a1,f3(a1),x17191),x17191))
% 14.81/14.70 [1725]P3(a1,x17251,f2(a1))+~P3(a1,f9(a1,f9(a1,f3(a1),x17251),x17251),f2(a1))
% 14.81/14.70 [1396]~P10(x13961)+E(f14(x13961,f9(a1,f9(a1,f3(a1),a11),a11)),f3(x13961))
% 14.81/14.70 [1761]~P2(a1,f2(a1),f14(a1,x17611))+P2(a1,f2(a1),f14(a1,f9(a1,f9(a1,f3(a1),x17611),x17611)))
% 14.81/14.70 [1770]~P10(x17701)+~P4(x17701,f14(x17701,f9(a1,f9(a1,f3(a1),a11),a11)))
% 14.81/14.70 [1768]~P3(a68,f8(a68,a76),x17681)+P3(a68,f8(a68,f8(a68,f21(a12,f45(f18(a12,a73),f33(x17681))))),x17681)
% 14.81/14.70 [1783]~P10(x17831)+E(f9(x17831,f3(x17831),f3(x17831)),f14(x17831,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))
% 14.81/14.70 [1794]~P62(x17941)+E(f20(x17941,f2(x17941),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f2(x17941))
% 14.81/14.70 [1795]~P62(x17951)+E(f20(x17951,f3(x17951),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f3(x17951))
% 14.81/14.70 [1801]~P2(a68,f2(a68),x18011)+E(f20(a68,f13(x18011),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),x18011)
% 14.81/14.70 [1806]P2(a68,f2(a68),x18061)+~E(f20(a68,f13(x18061),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),x18061)
% 14.81/14.70 [1815]~P3(a68,f2(a68),x18151)+P3(a68,f2(a68),f20(a68,f13(x18151),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [1818]~P3(a68,f4(a68,x18181),f3(a68))+P3(a68,f20(a68,x18181,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f3(a68))
% 14.81/14.70 [1828]~P3(a68,f2(a68),x18281)+P3(a68,f25(a68,x18281,f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),x18281)
% 14.81/14.70 [714]~E(x7141,x7142)+P2(a68,x7141,x7142)
% 14.81/14.70 [717]~E(x7171,x7172)+P2(a69,x7171,x7172)
% 14.81/14.70 [727]~P41(x7271)+P2(x7271,x7272,x7272)
% 14.81/14.70 [809]~E(x8091,x8092)+~P3(a68,x8091,x8092)
% 14.81/14.70 [810]~E(x8101,x8102)+~P3(a1,x8101,x8102)
% 14.81/14.70 [815]~E(x8151,x8152)+~P3(a69,x8151,x8152)
% 14.81/14.70 [831]~P3(x8311,x8312,x8312)+~P41(x8311)
% 14.81/14.70 [861]P2(a68,x8612,x8611)+P2(a68,x8611,x8612)
% 14.81/14.70 [862]P2(a1,x8622,x8621)+P2(a1,x8621,x8622)
% 14.81/14.70 [863]P2(a69,x8632,x8631)+P2(a69,x8631,x8632)
% 14.81/14.70 [921]~P3(a68,x9211,x9212)+P2(a68,x9211,x9212)
% 14.81/14.70 [922]~P3(a1,x9221,x9222)+P2(a1,x9221,x9222)
% 14.81/14.70 [927]~P3(a69,x9271,x9272)+P2(a69,x9271,x9272)
% 14.81/14.70 [607]E(x6071,x6072)+~E(f13(x6071),f13(x6072))
% 14.81/14.70 [688]~P41(x6882)+P41(f71(x6881,x6882))
% 14.81/14.70 [689]~P42(x6892)+P42(f71(x6891,x6892))
% 14.81/14.70 [690]~P39(x6902)+P39(f71(x6901,x6902))
% 14.81/14.70 [691]~P43(x6912)+P43(f71(x6911,x6912))
% 14.81/14.70 [692]~P25(x6922)+P25(f71(x6921,x6922))
% 14.81/14.70 [693]~P30(x6932)+P30(f71(x6931,x6932))
% 14.81/14.70 [699]E(x6991,x6992)+~E(f16(a69,x6991),f16(a69,x6992))
% 14.81/14.70 [719]E(f9(a69,x7191,x7192),x7192)+~E(x7191,f2(a69))
% 14.81/14.70 [730]~P40(x7301)+E(f10(x7301,x7302,x7302),x7302)
% 14.81/14.70 [735]~P17(x7351)+E(f7(x7351,x7352,x7352),f2(x7351))
% 14.81/14.70 [758]P2(a1,x7582,x7581)+E(f15(x7581,x7582),f2(a1))
% 14.81/14.70 [789]~E(x7892,f8(a68,x7891))+E(f9(a68,x7891,x7892),f2(a68))
% 14.81/14.70 [805]~P1(x8052)+P2(a69,x8051,f45(x8052,x8051))
% 14.81/14.70 [816]~P12(x8161)+P2(x8161,x8162,f4(x8161,x8162))
% 14.81/14.70 [819]~E(f9(a69,x8192,x8191),x8192)+E(x8191,f2(a69))
% 14.81/14.70 [820]~P48(x8201)+P2(a68,f2(a68),f21(x8201,x8202))
% 14.81/14.70 [824]~P3(a69,x8242,x8241)+~E(x8241,f2(a69))
% 14.81/14.70 [825]E(x8251,f2(a69))+~E(f9(a69,x8252,x8251),f2(a69))
% 14.81/14.70 [826]E(x8261,f2(a69))+~E(f9(a69,x8261,x8262),f2(a69))
% 14.81/14.70 [832]~P12(x8321)+P2(x8321,f2(x8321),f4(x8321,x8322))
% 14.81/14.70 [852]E(x8521,f8(a68,x8522))+~E(f9(a68,x8522,x8521),f2(a68))
% 14.81/14.70 [880]~P12(x8801)+P2(x8801,f8(x8801,x8802),f4(x8801,x8802))
% 14.81/14.70 [919]~P48(x9191)+~P3(a68,f21(x9191,x9192),f2(a68))
% 14.81/14.70 [932]~P2(a69,x9321,x9322)+E(f7(a69,x9321,x9322),f2(a69))
% 14.81/14.70 [940]P2(a69,x9401,x9402)+~E(f7(a69,x9401,x9402),f2(a69))
% 14.81/14.70 [948]~P12(x9481)+~P3(x9481,f4(x9481,x9482),f2(x9481))
% 14.81/14.70 [960]~P3(a68,x9601,x9602)+P3(a68,f13(x9601),f13(x9602))
% 14.81/14.70 [962]~P2(a68,x9621,x9622)+P2(a68,f13(x9621),f13(x9622))
% 14.81/14.70 [973]~P2(a1,x9732,x9731)+E(f7(a1,x9731,x9732),f15(x9731,x9732))
% 14.81/14.70 [1006]P3(a68,x10061,x10062)+~P3(a68,f13(x10061),f13(x10062))
% 14.81/14.70 [1007]P2(a68,x10071,x10072)+~P2(a68,f13(x10071),f13(x10072))
% 14.81/14.70 [1016]~E(x10162,f2(a69))+P3(a69,f2(a69),f20(a69,x10161,x10162))
% 14.81/14.70 [1028]E(x10281,x10282)+~E(f9(a1,x10281,x10281),f9(a1,x10282,x10282))
% 14.81/14.70 [1038]P2(a68,x10381,x10382)+~P2(a68,f4(a68,x10381),x10382)
% 14.81/14.70 [1040]~P61(x10401)+P2(x10401,f2(x10401),f10(x10401,x10402,x10402))
% 14.81/14.70 [1057]~P2(a1,x10571,a11)+P2(a69,f14(a69,x10571),f14(a69,x10572))
% 14.81/14.70 [1075]~P3(a69,x10751,x10752)+P3(a68,f16(a69,x10751),f16(a69,x10752))
% 14.81/14.70 [1076]~P3(a1,x10761,x10762)+P3(a1,f14(a1,x10761),f14(a1,x10762))
% 14.81/14.70 [1077]~P2(a69,x10771,x10772)+P2(a68,f16(a69,x10771),f16(a69,x10772))
% 14.81/14.70 [1078]~P2(a1,x10781,x10782)+P2(a1,f14(a1,x10781),f14(a1,x10782))
% 14.81/14.70 [1079]~P2(a1,x10791,x10792)+P2(a69,f14(a69,x10791),f14(a69,x10792))
% 14.81/14.70 [1106]~P2(a68,f4(a68,x11062),x11061)+P2(a68,f8(a68,x11061),x11062)
% 14.81/14.70 [1141]P3(a1,x11411,x11412)+~P3(a1,f14(a1,x11411),f14(a1,x11412))
% 14.81/14.70 [1142]P3(a1,x11421,x11422)+~P3(a69,f14(a69,x11421),f14(a69,x11422))
% 14.81/14.70 [1143]P3(a69,x11431,x11432)+~P3(a68,f16(a69,x11431),f16(a69,x11432))
% 14.81/14.70 [1144]P2(a1,x11441,x11442)+~P2(a1,f14(a1,x11441),f14(a1,x11442))
% 14.81/14.70 [1145]P2(a69,x11451,x11452)+~P2(a68,f16(a69,x11451),f16(a69,x11452))
% 14.81/14.70 [1234]~P3(a69,x12342,x12341)+P3(a69,f2(a69),f7(a69,x12341,x12342))
% 14.81/14.70 [1235]~P3(a1,x12351,x12352)+P3(a1,f7(a1,x12351,x12352),f2(a1))
% 14.81/14.70 [1236]~P2(a68,x12361,x12362)+P2(a68,f7(a68,x12361,x12362),f2(a68))
% 14.81/14.70 [1253]~P3(a69,f2(a69),x12531)+P3(a69,f2(a69),f20(a69,x12531,x12532))
% 14.81/14.70 [1256]~P2(a1,f2(a1),x12561)+P2(a1,f2(a1),f20(a1,x12561,x12562))
% 14.81/14.70 [1282]~P61(x12821)+~P3(x12821,f10(x12821,x12822,x12822),f2(x12821))
% 14.81/14.70 [1287]~P3(a68,f8(a68,x12871),x12872)+P3(a68,f2(a68),f9(a68,x12871,x12872))
% 14.81/14.70 [1288]~P2(a68,f8(a68,x12881),x12882)+P2(a68,f2(a68),f9(a68,x12881,x12882))
% 14.81/14.70 [1289]~P3(a68,x12892,f8(a68,x12891))+P3(a68,f9(a68,x12891,x12892),f2(a68))
% 14.81/14.70 [1290]~P2(a68,x12902,f8(a68,x12901))+P2(a68,f9(a68,x12901,x12902),f2(a68))
% 14.81/14.70 [1321]P3(a69,x13211,x13212)+~P3(a69,f2(a69),f7(a69,x13212,x13211))
% 14.81/14.70 [1322]P3(a1,x13221,x13222)+~P3(a1,f7(a1,x13221,x13222),f2(a1))
% 14.81/14.70 [1323]P2(a68,x13231,x13232)+~P2(a68,f7(a68,x13231,x13232),f2(a68))
% 14.81/14.70 [1354]P3(a68,x13541,f8(a68,x13542))+~P3(a68,f9(a68,x13542,x13541),f2(a68))
% 14.81/14.70 [1355]P2(a68,x13551,f8(a68,x13552))+~P2(a68,f9(a68,x13552,x13551),f2(a68))
% 14.81/14.70 [1356]P3(a68,f8(a68,x13561),x13562)+~P3(a68,f2(a68),f9(a68,x13561,x13562))
% 14.81/14.70 [1357]P2(a68,f8(a68,x13571),x13572)+~P2(a68,f2(a68),f9(a68,x13571,x13572))
% 14.81/14.70 [1403]~P3(a1,x14031,x14032)+P3(a1,f9(a1,x14031,x14031),f9(a1,x14032,x14032))
% 14.81/14.70 [1409]~P2(a1,x14091,x14092)+P2(a1,f9(a1,x14091,x14091),f9(a1,x14092,x14092))
% 14.81/14.70 [1606]P3(a1,x16061,x16062)+~P3(a1,f9(a1,x16061,x16061),f9(a1,x16062,x16062))
% 14.81/14.70 [1609]P2(a1,x16091,x16092)+~P2(a1,f9(a1,x16091,x16091),f9(a1,x16092,x16092))
% 14.81/14.70 [707]~P17(x7071)+E(f8(x7071,f8(x7071,x7072)),x7072)
% 14.81/14.70 [708]~P39(x7081)+E(f8(x7081,f8(x7081,x7082)),x7082)
% 14.81/14.70 [718]~P48(x7181)+E(f4(a68,f21(x7181,x7182)),f21(x7181,x7182))
% 14.81/14.70 [724]~P48(x7241)+E(f21(x7241,f8(x7241,x7242)),f21(x7241,x7242))
% 14.81/14.70 [725]~P12(x7251)+E(f4(x7251,f8(x7251,x7252)),f4(x7251,x7252))
% 14.81/14.70 [726]~P12(x7261)+E(f4(x7261,f4(x7261,x7262)),f4(x7261,x7262))
% 14.81/14.70 [736]~P54(x7361)+E(f20(x7361,x7362,f3(a69)),x7362)
% 14.81/14.70 [737]~P28(x7371)+E(f20(x7371,x7372,f3(a69)),x7372)
% 14.81/14.70 [739]~P17(x7391)+E(f7(x7391,x7392,f2(x7391)),x7392)
% 14.81/14.70 [740]~P49(x7401)+E(f25(x7401,x7402,f3(x7401)),x7402)
% 14.81/14.70 [741]~P54(x7411)+E(f9(x7411,x7412,f2(x7411)),x7412)
% 14.81/14.70 [742]~P21(x7421)+E(f9(x7421,x7422,f2(x7421)),x7422)
% 14.81/14.70 [743]~P27(x7431)+E(f9(x7431,x7432,f2(x7431)),x7432)
% 14.81/14.70 [744]~P54(x7441)+E(f10(x7441,x7442,f3(x7441)),x7442)
% 14.81/14.70 [745]~P28(x7451)+E(f10(x7451,x7452,f3(x7451)),x7452)
% 14.81/14.70 [746]~P22(x7461)+E(f10(x7461,x7462,f3(x7461)),x7462)
% 14.81/14.70 [747]~P54(x7471)+E(f9(x7471,f2(x7471),x7472),x7472)
% 14.81/14.70 [748]~P21(x7481)+E(f9(x7481,f2(x7481),x7482),x7482)
% 14.81/14.70 [749]~P27(x7491)+E(f9(x7491,f2(x7491),x7492),x7492)
% 14.81/14.70 [750]~P54(x7501)+E(f10(x7501,f3(x7501),x7502),x7502)
% 14.81/14.70 [751]~P28(x7511)+E(f10(x7511,f3(x7511),x7512),x7512)
% 14.81/14.70 [752]~P22(x7521)+E(f10(x7521,f3(x7521),x7522),x7522)
% 14.81/14.70 [753]~P54(x7531)+E(f20(x7531,x7532,f2(a69)),f3(x7531))
% 14.81/14.70 [754]~P44(x7541)+E(f20(x7541,x7542,f2(a69)),f3(x7541))
% 14.81/14.70 [766]~P55(x7661)+E(f25(x7661,x7662,f2(x7661)),f2(x7661))
% 14.81/14.70 [767]~P54(x7671)+E(f10(x7671,x7672,f2(x7671)),f2(x7671))
% 14.81/14.70 [768]~P65(x7681)+E(f10(x7681,x7682,f2(x7681)),f2(x7681))
% 14.81/14.70 [770]~P45(x7701)+E(f10(x7701,x7702,f2(x7701)),f2(x7701))
% 14.81/14.70 [771]~P46(x7711)+E(f25(x7711,f2(x7711),x7712),f2(x7711))
% 14.81/14.70 [772]~P49(x7721)+E(f25(x7721,f2(x7721),x7722),f2(x7721))
% 14.81/14.70 [773]~P28(x7731)+E(f20(x7731,f3(x7731),x7732),f3(x7731))
% 14.81/14.70 [774]~P54(x7741)+E(f10(x7741,f2(x7741),x7742),f2(x7741))
% 14.81/14.70 [775]~P65(x7751)+E(f10(x7751,f2(x7751),x7752),f2(x7751))
% 14.81/14.70 [777]~P45(x7771)+E(f10(x7771,f2(x7771),x7772),f2(x7771))
% 14.81/14.70 [792]~P17(x7921)+E(f7(x7921,f2(x7921),x7922),f8(x7921,x7922))
% 14.81/14.70 [793]~E(x7931,x7932)+E(f9(a68,x7931,f8(a68,x7932)),f2(a68))
% 14.81/14.70 [797]~P10(x7971)+E(f8(x7971,f14(x7971,x7972)),f14(x7971,f8(a1,x7972)))
% 14.81/14.70 [803]~P10(x8031)+E(f9(x8031,x8032,f14(x8031,a11)),x8032)
% 14.81/14.70 [804]~P10(x8041)+E(f9(x8041,f14(x8041,a11),x8042),x8042)
% 14.81/14.70 [827]~P17(x8271)+E(f9(x8271,x8272,f8(x8271,x8272)),f2(x8271))
% 14.81/14.70 [828]~P17(x8281)+E(f9(x8281,f8(x8281,x8282),x8282),f2(x8281))
% 14.81/14.70 [829]~P14(x8291)+E(f9(x8291,f8(x8291,x8292),x8292),f2(x8291))
% 14.81/14.70 [895]~E(x8952,f2(a69))+E(f20(a69,x8951,x8952),f9(a69,f2(a69),f3(a69)))
% 14.81/14.70 [906]E(x9061,x9062)+~E(f9(a68,x9061,f8(a68,x9062)),f2(a68))
% 14.81/14.70 [912]E(x9121,x9122)+~E(f45(x9121,f26(x9122,x9121)),f45(x9122,f26(x9122,x9121)))
% 14.81/14.70 [952]~P12(x9521)+P2(x9521,f8(x9521,f4(x9521,x9522)),f2(x9521))
% 14.81/14.70 [953]P3(a69,f2(a69),x9531)+~E(x9531,f9(a69,x9532,f3(a69)))
% 14.81/14.70 [1013]~P2(a69,x10131,x10132)+E(f9(a69,x10131,f54(x10132,x10131)),x10132)
% 14.81/14.70 [1014]~P2(a69,x10141,x10142)+E(f9(a69,x10141,f55(x10142,x10141)),x10142)
% 14.81/14.70 [1017]~E(x10171,x10172)+P3(a1,x10171,f9(a1,x10172,f3(a1)))
% 14.81/14.70 [1018]~E(x10181,x10182)+P3(a69,x10181,f9(a69,x10182,f3(a69)))
% 14.81/14.70 [1023]~P35(x10231)+E(f10(x10231,f4(x10231,x10232),f4(x10231,x10232)),f10(x10231,x10232,x10232))
% 14.81/14.70 [1029]~E(x10291,f2(a69))+P3(a69,x10291,f9(a69,x10292,f3(a69)))
% 14.81/14.70 [1064]~P59(x10641)+P3(x10641,x10642,f9(x10641,x10642,f3(x10641)))
% 14.81/14.70 [1100]~P3(a1,x11001,a11)+E(f9(a69,f14(a69,x11001),f14(a69,x11002)),f14(a69,x11002))
% 14.81/14.70 [1128]~E(x11281,f9(a69,f2(a69),f3(a69)))+E(f20(a69,x11281,x11282),f9(a69,f2(a69),f3(a69)))
% 14.81/14.70 [1146]E(x11461,f2(a1))+P3(a1,f2(a1),f20(a1,f4(a1,x11461),x11462))
% 14.81/14.70 [1147]P3(a69,x11472,x11471)+E(f9(a69,x11471,f7(a69,x11472,x11471)),x11472)
% 14.81/14.70 [1148]~E(x11482,f2(a69))+P3(a1,f2(a1),f20(a1,f4(a1,x11481),x11482))
% 14.81/14.70 [1167]P3(a69,x11671,x11672)+P3(a69,x11672,f9(a69,x11671,f3(a69)))
% 14.81/14.70 [1168]P2(a69,x11681,x11682)+P2(a69,f9(a69,x11682,f3(a69)),x11681)
% 14.81/14.70 [1231]~P2(a69,x12312,x12311)+E(f7(a69,x12311,f7(a69,x12311,x12312)),x12312)
% 14.81/14.70 [1232]~P2(a69,x12321,x12322)+E(f9(a69,x12321,f7(a69,x12322,x12321)),x12322)
% 14.81/14.70 [1233]~P2(a69,x12332,x12331)+E(f9(a69,f7(a69,x12331,x12332),x12332),x12331)
% 14.81/14.70 [1238]~P3(a1,x12381,x12382)+P3(a1,x12381,f9(a1,x12382,f3(a1)))
% 14.81/14.70 [1239]~P2(a1,x12391,x12392)+P3(a1,x12391,f9(a1,x12392,f3(a1)))
% 14.81/14.70 [1243]~P2(a69,x12431,x12432)+P3(a69,x12431,f9(a69,x12432,f3(a69)))
% 14.81/14.70 [1244]~P3(a1,x12441,x12442)+P2(a1,x12441,f7(a1,x12442,f3(a1)))
% 14.81/14.70 [1248]~P3(a1,x12481,x12482)+P2(a1,f9(a1,x12481,f3(a1)),x12482)
% 14.81/14.70 [1251]~P3(a69,x12511,x12512)+P2(a69,f9(a69,x12511,f3(a69)),x12512)
% 14.81/14.70 [1303]~P3(a69,x13031,x13032)+E(f9(a69,f9(a69,x13031,f56(x13032,x13031)),f3(a69)),x13032)
% 14.81/14.70 [1308]~P2(a69,x13082,x13081)+E(f7(a68,f16(a69,x13081),f16(a69,x13082)),f16(a69,f7(a69,x13081,x13082)))
% 14.81/14.70 [1326]P3(a1,x13261,x13262)+~P2(a1,x13261,f7(a1,x13262,f3(a1)))
% 14.81/14.70 [1327]P2(a1,x13271,x13272)+~P3(a1,x13271,f9(a1,x13272,f3(a1)))
% 14.81/14.70 [1328]P2(a69,x13281,x13282)+~P3(a69,x13281,f9(a69,x13282,f3(a69)))
% 14.81/14.70 [1329]P3(a1,x13291,x13292)+~P2(a1,f9(a1,x13291,f3(a1)),x13292)
% 14.81/14.70 [1333]P3(a69,x13331,x13332)+~P2(a69,f9(a69,x13331,f3(a69)),x13332)
% 14.81/14.70 [1343]~P2(a69,x13431,x13432)+P3(a68,f16(a69,x13431),f9(a68,f16(a69,x13432),f3(a68)))
% 14.81/14.70 [1344]~P3(a69,x13441,x13442)+P2(a68,f9(a68,f16(a69,x13441),f3(a68)),f16(a69,x13442))
% 14.81/14.70 [1397]~P3(a69,x13971,x13972)+~P3(a69,x13972,f9(a69,x13971,f3(a69)))
% 14.81/14.70 [1398]~P2(a69,x13981,x13982)+~P2(a69,f9(a69,x13982,f3(a69)),x13981)
% 14.81/14.70 [1489]~P10(x14891)+E(f9(x14891,f9(x14891,f2(x14891),f14(x14891,x14892)),f14(x14891,x14892)),f14(x14891,f9(a1,x14892,x14892)))
% 14.81/14.70 [1531]E(x15311,f2(a68))+~E(f9(a68,f10(a68,x15312,x15312),f10(a68,x15311,x15311)),f2(a68))
% 14.81/14.70 [1532]E(x15321,f2(a68))+~E(f9(a68,f10(a68,x15321,x15321),f10(a68,x15322,x15322)),f2(a68))
% 14.81/14.70 [1534]P2(a69,x15341,x15342)+~P3(a68,f16(a69,x15341),f9(a68,f16(a69,x15342),f3(a68)))
% 14.81/14.70 [1535]P3(a69,x15351,x15352)+~P2(a68,f9(a68,f16(a69,x15351),f3(a68)),f16(a69,x15352))
% 14.81/14.70 [1545]E(x15451,f2(a69))+E(f9(a69,f9(a69,f7(a69,x15451,f3(a69)),x15452),f3(a69)),f9(a69,x15451,x15452))
% 14.81/14.70 [1617]P3(a69,x16171,x16172)+~P3(a69,f9(a69,x16171,f3(a69)),f9(a69,x16172,f3(a69)))
% 14.81/14.70 [1618]P2(a69,x16181,x16182)+~P2(a69,f9(a69,x16181,f3(a69)),f9(a69,x16182,f3(a69)))
% 14.81/14.70 [1662]~P2(a69,f9(a69,f2(a69),f3(a69)),x16621)+P2(a69,f9(a69,f2(a69),f3(a69)),f20(a69,x16621,x16622))
% 14.81/14.70 [806]~P14(x8061)+E(f7(f70(x8061),x8062,f2(f70(x8061))),x8062)
% 14.81/14.70 [807]~P21(x8071)+E(f9(f70(x8071),x8072,f2(f70(x8071))),x8072)
% 14.81/14.70 [808]~P21(x8081)+E(f9(f70(x8081),f2(f70(x8081)),x8082),x8082)
% 14.81/14.70 [860]~P14(x8601)+E(f7(f70(x8601),f2(f70(x8601)),x8602),f8(f70(x8601),x8602))
% 14.81/14.70 [881]~P52(x8811)+E(f10(x8811,f8(x8811,f3(x8811)),x8812),f8(x8811,x8812))
% 14.81/14.70 [1375]~P1(x13751)+P3(a69,f45(x13751,x13752),f45(x13751,f9(a69,x13752,f3(a69))))
% 14.81/14.70 [1611]~P3(a69,f2(a69),x16111)+P3(a69,f7(a69,x16111,f9(a69,x16112,f3(a69))),x16111)
% 14.81/14.70 [1649]E(x16491,x16492)+~E(f9(a1,f9(a1,f3(a1),x16491),x16491),f9(a1,f9(a1,f3(a1),x16492),x16492))
% 14.81/14.70 [1681]~P2(a1,x16811,x16812)+P3(a1,f9(a1,x16811,x16811),f9(a1,f9(a1,f3(a1),x16812),x16812))
% 14.81/14.70 [1683]~P2(a1,x16831,x16832)+P2(a1,f9(a1,x16831,x16831),f9(a1,f9(a1,f3(a1),x16832),x16832))
% 14.81/14.70 [1685]~P3(a1,x16851,x16852)+P3(a1,f9(a1,f9(a1,f3(a1),x16851),x16851),f9(a1,x16852,x16852))
% 14.81/14.70 [1687]~P3(a1,x16871,x16872)+P2(a1,f9(a1,f9(a1,f3(a1),x16871),x16871),f9(a1,x16872,x16872))
% 14.81/14.70 [1746]~P3(a1,x17461,x17462)+P3(a1,f9(a1,f9(a1,f3(a1),x17461),x17461),f9(a1,f9(a1,f3(a1),x17462),x17462))
% 14.81/14.70 [1748]~P2(a1,x17481,x17482)+P2(a1,f9(a1,f9(a1,f3(a1),x17481),x17481),f9(a1,f9(a1,f3(a1),x17482),x17482))
% 14.81/14.70 [1750]P2(a1,x17501,x17502)+~P3(a1,f9(a1,x17501,x17501),f9(a1,f9(a1,f3(a1),x17502),x17502))
% 14.81/14.70 [1752]P2(a1,x17521,x17522)+~P2(a1,f9(a1,x17521,x17521),f9(a1,f9(a1,f3(a1),x17522),x17522))
% 14.81/14.70 [1754]P3(a1,x17541,x17542)+~P3(a1,f9(a1,f9(a1,f3(a1),x17541),x17541),f9(a1,x17542,x17542))
% 14.81/14.70 [1756]P3(a1,x17561,x17562)+~P2(a1,f9(a1,f9(a1,f3(a1),x17561),x17561),f9(a1,x17562,x17562))
% 14.81/14.70 [1763]~P10(x17631)+E(f7(x17631,f3(x17631),f14(x17631,x17632)),f14(x17631,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f8(a1,x17632))))
% 14.81/14.70 [1773]P3(a1,x17731,x17732)+~P3(a1,f9(a1,f9(a1,f3(a1),x17731),x17731),f9(a1,f9(a1,f3(a1),x17732),x17732))
% 14.81/14.70 [1775]P2(a1,x17751,x17752)+~P2(a1,f9(a1,f9(a1,f3(a1),x17751),x17751),f9(a1,f9(a1,f3(a1),x17752),x17752))
% 14.81/14.70 [817]~P51(x8171)+E(f45(f18(x8171,f2(f70(x8171))),x8172),f2(x8171))
% 14.81/14.70 [818]~P54(x8181)+E(f45(f18(x8181,f3(f70(x8181))),x8182),f3(x8181))
% 14.81/14.70 [1704]~P10(x17041)+E(f9(x17041,f9(x17041,f3(x17041),f14(x17041,x17042)),f14(x17041,x17042)),f14(x17041,f9(a1,f9(a1,f3(a1),x17042),x17042)))
% 14.81/14.70 [1759]~P10(x17591)+E(f9(x17591,f3(x17591),f14(x17591,x17592)),f14(x17591,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),x17592)))
% 14.81/14.70 [1760]~P10(x17601)+E(f9(x17601,f14(x17601,x17602),f3(x17601)),f14(x17601,f9(a1,x17602,f9(a1,f9(a1,f3(a1),a11),a11))))
% 14.81/14.70 [1786]~P10(x17861)+E(f7(x17861,f14(x17861,x17862),f3(x17861)),f14(x17861,f9(a1,x17862,f8(a1,f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [1788]~P3(a69,f14(a69,a11),x17882)+E(f7(a69,x17881,f7(a69,x17882,f14(a69,f9(a1,f9(a1,f3(a1),a11),a11)))),f7(a69,f9(a69,x17881,f3(a69)),x17882))
% 14.81/14.70 [1810]~P64(x18101)+E(f20(x18101,f8(x18101,x18102),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18101,x18102,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [1811]~P35(x18111)+E(f20(x18111,f4(x18111,x18112),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18111,x18112,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [1812]~P35(x18121)+P2(x18121,f2(x18121),f20(x18121,x18122,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [1820]~P3(a68,x18201,x18202)+P3(a68,x18201,f25(a68,f9(a68,x18201,x18202),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [1821]~P3(a68,x18211,x18212)+P3(a68,f25(a68,f9(a68,x18211,x18212),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),x18212)
% 14.81/14.70 [1823]~P35(x18231)+~P3(x18231,f20(x18231,x18232,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f2(x18231))
% 14.81/14.70 [1822]~P35(x18221)+E(f4(x18221,f20(x18221,x18222,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f20(x18221,x18222,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.70 [1832]E(x18321,f2(a68))+~E(f9(a68,f20(a68,x18322,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x18321,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(a68))
% 14.81/14.70 [1833]E(x18331,f2(a68))+~E(f9(a68,f20(a68,x18331,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x18332,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(a68))
% 14.81/14.70 [1842]E(x18421,f2(a68))+~E(f13(f9(a68,f20(a68,x18422,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x18421,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x18422)
% 14.81/14.70 [1843]E(x18431,f2(a68))+~E(f13(f9(a68,f20(a68,x18431,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x18432,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x18432)
% 14.81/14.70 [885]~P54(x8851)+E(f9(x8851,x8852,x8853),f9(x8851,x8853,x8852))
% 14.81/14.70 [886]~P54(x8861)+E(f10(x8861,x8862,x8863),f10(x8861,x8863,x8862))
% 14.81/14.70 [929]P2(a69,x9291,x9292)+~E(x9292,f9(a69,x9291,x9293))
% 14.81/14.70 [1026]E(x10261,x10262)+~E(f9(a69,x10263,x10261),f9(a69,x10263,x10262))
% 14.81/14.70 [1027]E(x10271,x10272)+~E(f9(a69,x10271,x10273),f9(a69,x10272,x10273))
% 14.81/14.70 [1220]~P3(a69,x12201,x12203)+P3(a69,x12201,f9(a69,x12202,x12203))
% 14.81/14.70 [1222]~P3(a69,x12221,x12222)+P3(a69,x12221,f9(a69,x12222,x12223))
% 14.81/14.70 [1224]~P2(a69,x12241,x12243)+P2(a69,x12241,f9(a69,x12242,x12243))
% 14.81/14.70 [1226]~P2(a69,x12261,x12262)+P2(a69,x12261,f9(a69,x12262,x12263))
% 14.81/14.70 [1227]~P3(a69,x12271,x12273)+P3(a69,f7(a69,x12271,x12272),x12273)
% 14.81/14.70 [1261]~P3(a68,f2(a68),x12613)+P3(a68,f2(a68),f62(x12611,x12612,x12613))
% 14.81/14.70 [1309]P3(a69,x13091,x13092)+~P3(a69,f9(a69,x13091,x13093),x13092)
% 14.81/14.70 [1312]P2(a69,x13121,x13122)+~P2(a69,f9(a69,x13123,x13121),x13122)
% 14.81/14.70 [1313]P2(a69,x13131,x13132)+~P2(a69,f9(a69,x13131,x13133),x13132)
% 14.81/14.70 [1401]~P3(a1,x14011,x14013)+P3(a1,f9(a1,x14011,x14012),f9(a1,x14013,x14012))
% 14.81/14.70 [1404]~P3(a69,x14042,x14043)+P3(a69,f9(a69,x14041,x14042),f9(a69,x14041,x14043))
% 14.81/14.70 [1405]~P3(a69,x14051,x14053)+P3(a69,f9(a69,x14051,x14052),f9(a69,x14053,x14052))
% 14.81/14.70 [1406]~P2(a68,x14062,x14063)+P2(a68,f9(a68,x14061,x14062),f9(a68,x14061,x14063))
% 14.81/14.70 [1407]~P2(a1,x14072,x14073)+P2(a1,f9(a1,x14071,x14072),f9(a1,x14071,x14073))
% 14.81/14.70 [1410]~P2(a69,x14103,x14102)+P2(a69,f7(a69,x14101,x14102),f7(a69,x14101,x14103))
% 14.81/14.70 [1411]~P2(a69,x14111,x14113)+P2(a69,f7(a69,x14111,x14112),f7(a69,x14113,x14112))
% 14.81/14.70 [1412]~P2(a69,x14122,x14123)+P2(a69,f9(a69,x14121,x14122),f9(a69,x14121,x14123))
% 14.81/14.70 [1413]~P2(a69,x14131,x14133)+P2(a69,f9(a69,x14131,x14132),f9(a69,x14133,x14132))
% 14.81/14.70 [1525]~P3(a69,f9(a69,x15251,x15253),x15252)+P3(a69,x15251,f7(a69,x15252,x15253))
% 14.81/14.70 [1526]~P2(a69,f7(a69,x15261,x15263),x15262)+P2(a69,x15261,f9(a69,x15262,x15263))
% 14.81/14.70 [1527]~P3(a69,x15271,f7(a69,x15273,x15272))+P3(a69,f9(a69,x15271,x15272),x15273)
% 14.81/14.70 [1528]~P2(a69,x15281,f9(a69,x15283,x15282))+P2(a69,f7(a69,x15281,x15282),x15283)
% 14.81/14.70 [1607]P3(a69,x16071,x16072)+~P3(a69,f9(a69,x16073,x16071),f9(a69,x16073,x16072))
% 14.81/14.70 [1610]P2(a69,x16101,x16102)+~P2(a69,f9(a69,x16103,x16101),f9(a69,x16103,x16102))
% 14.81/14.70 [944]~P17(x9441)+E(f9(x9441,x9442,f8(x9441,x9443)),f7(x9441,x9442,x9443))
% 14.81/14.70 [945]~P14(x9451)+E(f9(x9451,x9452,f8(x9451,x9453)),f7(x9451,x9452,x9453))
% 14.81/14.70 [946]~P52(x9461)+E(f9(x9461,x9462,f8(x9461,x9463)),f7(x9461,x9462,x9463))
% 14.81/14.70 [947]~P17(x9471)+E(f7(x9471,x9472,f8(x9471,x9473)),f9(x9471,x9472,x9473))
% 14.81/14.70 [1020]~P68(x10201)+E(f10(x10201,f8(x10201,x10202),x10203),f10(x10201,x10202,f8(x10201,x10203)))
% 14.81/14.70 [1021]~P8(x10211)+E(f25(x10211,f8(x10211,x10212),f8(x10211,x10213)),f25(x10211,x10212,x10213))
% 14.81/14.70 [1022]~P68(x10221)+E(f10(x10221,f8(x10221,x10222),f8(x10221,x10223)),f10(x10221,x10222,x10223))
% 14.81/14.70 [1030]~P17(x10301)+E(f7(x10301,f9(x10301,x10302,x10303),x10303),x10302)
% 14.81/14.70 [1031]~P17(x10311)+E(f9(x10311,f7(x10311,x10312,x10313),x10313),x10312)
% 14.81/14.70 [1070]~P14(x10701)+E(f8(x10701,f7(x10701,x10702,x10703)),f7(x10701,x10703,x10702))
% 14.81/14.70 [1105]~P17(x11051)+E(f9(x11051,f8(x11051,x11052),f9(x11051,x11052,x11053)),x11053)
% 14.81/14.70 [1129]~P47(x11291)+E(f21(x11291,f20(x11291,x11292,x11293)),f20(a68,f21(x11291,x11292),x11293))
% 14.81/14.70 [1131]~P8(x11311)+E(f25(x11311,x11312,f8(x11311,x11313)),f8(x11311,f25(x11311,x11312,x11313)))
% 14.81/14.70 [1132]~P68(x11321)+E(f10(x11321,x11322,f8(x11321,x11323)),f8(x11321,f10(x11321,x11322,x11323)))
% 14.81/14.70 [1133]~P49(x11331)+E(f25(x11331,f8(x11331,x11332),x11333),f8(x11331,f25(x11331,x11332,x11333)))
% 14.81/14.70 [1134]~P68(x11341)+E(f10(x11341,f8(x11341,x11342),x11343),f8(x11341,f10(x11341,x11342,x11343)))
% 14.81/14.70 [1135]~P35(x11351)+E(f20(x11351,f4(x11351,x11352),x11353),f4(x11351,f20(x11351,x11352,x11353)))
% 14.81/14.70 [1137]~P45(x11371)+E(f10(x11371,x11372,f8(x11371,x11373)),f8(x11371,f10(x11371,x11372,x11373)))
% 14.81/14.70 [1138]~P46(x11381)+E(f25(x11381,f8(x11381,x11382),x11383),f8(x11381,f25(x11381,x11382,x11383)))
% 14.81/14.70 [1140]~P45(x11401)+E(f10(x11401,f8(x11401,x11402),x11403),f8(x11401,f10(x11401,x11402,x11403)))
% 14.81/14.70 [1176]~P40(x11761)+E(f10(x11761,x11762,f10(x11761,x11762,x11763)),f10(x11761,x11762,x11763))
% 14.81/14.70 [1179]~P35(x11791)+P2(x11791,f2(x11791),f20(x11791,f4(x11791,x11792),x11793))
% 14.81/14.70 [1186]~P10(x11861)+E(f7(x11861,f14(x11861,x11862),f14(x11861,x11863)),f14(x11861,f7(a1,x11862,x11863)))
% 14.81/14.70 [1189]~P10(x11891)+E(f9(x11891,f14(x11891,x11892),f14(x11891,x11893)),f14(x11891,f9(a1,x11892,x11893)))
% 14.81/14.70 [1190]~P10(x11901)+E(f10(x11901,f14(x11901,x11902),f14(x11901,x11903)),f14(x11901,f10(a1,x11902,x11903)))
% 14.81/14.70 [1191]~P47(x11911)+E(f10(a68,f21(x11911,x11912),f21(x11911,x11913)),f21(x11911,f10(x11911,x11912,x11913)))
% 14.81/14.70 [1192]~P17(x11921)+E(f9(x11921,f8(x11921,x11922),f8(x11921,x11923)),f8(x11921,f9(x11921,x11923,x11922)))
% 14.81/14.70 [1193]~P14(x11931)+E(f9(x11931,f8(x11931,x11932),f8(x11931,x11933)),f8(x11931,f9(x11931,x11932,x11933)))
% 14.81/14.70 [1194]~P6(x11941)+E(f25(x11941,f4(x11941,x11942),f4(x11941,x11943)),f4(x11941,f25(x11941,x11942,x11943)))
% 14.81/14.70 [1195]~P35(x11951)+E(f10(x11951,f4(x11951,x11952),f4(x11951,x11953)),f4(x11951,f10(x11951,x11952,x11953)))
% 14.81/14.70 [1196]~P14(x11961)+E(f7(x11961,f8(x11961,x11962),f8(x11961,x11963)),f8(x11961,f7(x11961,x11962,x11963)))
% 14.81/14.70 [1258]~P48(x12581)+E(f21(x12581,f7(x12581,x12582,x12583)),f21(x12581,f7(x12581,x12583,x12582)))
% 14.81/14.70 [1259]~P12(x12591)+E(f4(x12591,f7(x12591,x12592,x12593)),f4(x12591,f7(x12591,x12593,x12592)))
% 14.81/14.70 [1324]P3(a69,x13241,x13242)+~E(x13242,f9(a69,f9(a69,x13241,x13243),f3(a69)))
% 14.81/14.70 [1520]~P2(a69,x15202,x15203)+E(f7(a69,f9(a69,x15201,x15202),x15203),f7(a69,x15201,f7(a69,x15203,x15202)))
% 14.81/14.70 [1522]~P2(a69,x15223,x15222)+E(f9(a69,x15221,f7(a69,x15222,x15223)),f7(a69,f9(a69,x15221,x15222),x15223))
% 14.81/14.70 [1524]~P2(a69,x15242,x15241)+E(f9(a69,f7(a69,x15241,x15242),x15243),f7(a69,f9(a69,x15241,x15243),x15242))
% 14.81/14.70 [1569]~P2(a69,x15693,x15692)+P2(a69,x15691,f7(a69,f9(a69,x15692,x15691),x15693))
% 14.81/14.70 [1576]~P36(x15761)+P2(a68,f21(x15761,f20(x15761,x15762,x15763)),f20(a68,f21(x15761,x15762),x15763))
% 14.81/14.70 [1637]~P48(x16371)+P2(a68,f21(x16371,f7(x16371,x16372,x16373)),f9(a68,f21(x16371,x16372),f21(x16371,x16373)))
% 14.81/14.70 [1638]~P48(x16381)+P2(a68,f21(x16381,f9(x16381,x16382,x16383)),f9(a68,f21(x16381,x16382),f21(x16381,x16383)))
% 14.81/14.70 [1639]~P45(x16391)+P2(a68,f21(x16391,f10(x16391,x16392,x16393)),f10(a68,f21(x16391,x16392),f21(x16391,x16393)))
% 14.81/14.70 [1640]~P48(x16401)+P2(a68,f7(a68,f21(x16401,x16402),f21(x16401,x16403)),f21(x16401,f7(x16401,x16402,x16403)))
% 14.81/14.70 [1641]~P48(x16411)+P2(a68,f7(a68,f21(x16411,x16412),f21(x16411,x16413)),f21(x16411,f9(x16411,x16412,x16413)))
% 14.81/14.70 [1643]~P12(x16431)+P2(x16431,f4(x16431,f7(x16431,x16432,x16433)),f9(x16431,f4(x16431,x16432),f4(x16431,x16433)))
% 14.81/14.70 [1644]~P12(x16441)+P2(x16441,f4(x16441,f9(x16441,x16442,x16443)),f9(x16441,f4(x16441,x16442),f4(x16441,x16443)))
% 14.81/14.70 [1645]~P12(x16451)+P2(x16451,f7(x16451,f4(x16451,x16452),f4(x16451,x16453)),f4(x16451,f7(x16451,x16453,x16452)))
% 14.81/14.70 [1646]~P12(x16461)+P2(x16461,f7(x16461,f4(x16461,x16462),f4(x16461,x16463)),f4(x16461,f7(x16461,x16462,x16463)))
% 14.81/14.70 [1175]~P17(x11751)+E(f9(x11751,x11752,f9(x11751,f8(x11751,x11752),x11753)),x11753)
% 14.81/14.70 [1286]~P10(x12861)+E(f7(x12861,f14(x12861,x12862),f14(x12861,x12863)),f14(x12861,f9(a1,x12862,f8(a1,x12863))))
% 14.81/14.70 [1314]~P35(x13141)+E(f4(x13141,f20(x13141,f8(x13141,x13142),x13143)),f4(x13141,f20(x13141,x13142,x13143)))
% 14.81/14.70 [1376]~P54(x13761)+E(f10(x13761,x13762,f20(x13761,x13762,x13763)),f20(x13761,x13762,f9(a69,x13763,f3(a69))))
% 14.81/14.70 [1377]~P54(x13771)+E(f10(x13771,f20(x13771,x13772,x13773),x13772),f20(x13771,x13772,f9(a69,x13773,f3(a69))))
% 14.81/14.70 [1378]~P54(x13781)+E(f20(x13781,x13782,f9(a69,x13783,f3(a69))),f10(x13781,x13782,f20(x13781,x13782,x13783)))
% 14.81/14.70 [1379]~P44(x13791)+E(f20(x13791,x13792,f9(a69,x13793,f3(a69))),f10(x13791,x13792,f20(x13791,x13792,x13793)))
% 14.81/14.70 [1380]~P28(x13801)+E(f20(x13801,x13802,f9(a69,x13803,f3(a69))),f10(x13801,f20(x13801,x13802,x13803),x13802))
% 14.81/14.70 [1393]~P12(x13931)+E(f4(x13931,f9(x13931,f4(x13931,x13932),f4(x13931,x13933))),f9(x13931,f4(x13931,x13932),f4(x13931,x13933)))
% 14.81/14.70 [1416]~P8(x14161)+E(f25(x14161,f3(x14161),f20(x14161,x14162,x14163)),f20(x14161,f25(x14161,f3(x14161),x14162),x14163))
% 14.81/14.70 [1441]~P2(a68,f21(a12,x14412),x14413)+P2(a68,f21(a12,f45(f18(a12,x14411),x14412)),f37(x14411,x14413))
% 14.81/14.70 [1737]~P2(a69,x17372,x17373)+E(f7(a69,f9(a69,x17371,x17372),f9(a69,x17373,f3(a69))),f7(a69,x17371,f9(a69,f7(a69,x17373,x17372),f3(a69))))
% 14.81/14.70 [1738]~P2(a69,x17382,x17381)+E(f7(a69,f9(a69,f7(a69,x17381,x17382),f3(a69)),x17383),f7(a69,f9(a69,x17381,f3(a69)),f9(a69,x17382,x17383)))
% 14.81/14.70 [1743]~P48(x17431)+P2(a68,f4(a68,f7(a68,f21(x17431,x17432),f21(x17431,x17433))),f21(x17431,f7(x17431,x17432,x17433)))
% 14.81/14.70 [1744]~P12(x17441)+P2(x17441,f4(x17441,f7(x17441,f4(x17441,x17442),f4(x17441,x17443))),f4(x17441,f7(x17441,x17442,x17443)))
% 14.81/14.70 [1166]~P50(x11661)+E(f45(f18(x11661,f8(f70(x11661),x11662)),x11663),f8(x11661,f45(f18(x11661,x11662),x11663)))
% 14.81/14.70 [1819]~P54(x18191)+E(f20(x18191,x18192,f10(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),x18193)),f10(x18191,f20(x18191,x18192,x18193),f20(x18191,x18192,x18193)))
% 14.81/14.70 [1838]~P35(x18381)+P2(x18381,f2(x18381),f9(x18381,f20(x18381,x18382,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18381,x18383,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))))
% 14.81/14.70 [1844]~P35(x18441)+~P3(x18441,f9(x18441,f20(x18441,x18442,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18441,x18443,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(x18441))
% 14.81/14.70 [1358]~P54(x13581)+E(f9(x13581,x13582,f9(x13581,x13583,x13584)),f9(x13581,x13583,f9(x13581,x13582,x13584)))
% 14.81/14.70 [1359]~P54(x13591)+E(f10(x13591,x13592,f10(x13591,x13593,x13594)),f10(x13591,x13593,f10(x13591,x13592,x13594)))
% 14.81/14.70 [1361]~P49(x13611)+E(f25(x13611,f10(x13611,x13612,x13613),x13614),f10(x13611,x13612,f25(x13611,x13613,x13614)))
% 14.81/14.70 [1363]~P54(x13631)+E(f9(x13631,f9(x13631,x13632,x13633),x13634),f9(x13631,x13632,f9(x13631,x13633,x13634)))
% 14.81/14.70 [1364]~P15(x13641)+E(f9(x13641,f9(x13641,x13642,x13643),x13644),f9(x13641,x13642,f9(x13641,x13643,x13644)))
% 14.81/14.70 [1365]~P54(x13651)+E(f10(x13651,f10(x13651,x13652,x13653),x13654),f10(x13651,x13652,f10(x13651,x13653,x13654)))
% 14.81/14.70 [1366]~P16(x13661)+E(f10(x13661,f10(x13661,x13662,x13663),x13664),f10(x13661,x13662,f10(x13661,x13663,x13664)))
% 14.81/14.70 [1367]~P54(x13671)+E(f9(x13671,f9(x13671,x13672,x13673),x13674),f9(x13671,f9(x13671,x13672,x13674),x13673))
% 14.81/14.70 [1368]~P54(x13681)+E(f10(x13681,f10(x13681,x13682,x13683),x13684),f10(x13681,f10(x13681,x13682,x13684),x13683))
% 14.81/14.70 [1547]~P45(x15471)+E(f7(x15471,f10(x15471,x15472,x15473),f10(x15471,x15472,x15474)),f10(x15471,x15472,f7(x15471,x15473,x15474)))
% 14.81/14.70 [1549]~P45(x15491)+E(f9(x15491,f10(x15491,x15492,x15493),f10(x15491,x15492,x15494)),f10(x15491,x15492,f9(x15491,x15493,x15494)))
% 14.81/14.70 [1550]~P46(x15501)+E(f7(x15501,f25(x15501,x15502,x15503),f25(x15501,x15504,x15503)),f25(x15501,f7(x15501,x15502,x15504),x15503))
% 14.81/14.70 [1551]~P49(x15511)+E(f7(x15511,f25(x15511,x15512,x15513),f25(x15511,x15514,x15513)),f25(x15511,f7(x15511,x15512,x15514),x15513))
% 14.81/14.70 [1552]~P46(x15521)+E(f9(x15521,f25(x15521,x15522,x15523),f25(x15521,x15524,x15523)),f25(x15521,f9(x15521,x15522,x15524),x15523))
% 14.81/14.70 [1553]~P49(x15531)+E(f9(x15531,f25(x15531,x15532,x15533),f25(x15531,x15534,x15533)),f25(x15531,f9(x15531,x15532,x15534),x15533))
% 14.81/14.70 [1554]~P8(x15541)+E(f25(x15541,f20(x15541,x15542,x15543),f20(x15541,x15544,x15543)),f20(x15541,f25(x15541,x15542,x15544),x15543))
% 14.81/14.70 [1555]~P54(x15551)+E(f10(x15551,f20(x15551,x15552,x15553),f20(x15551,x15554,x15553)),f20(x15551,f10(x15551,x15552,x15554),x15553))
% 14.81/14.70 [1557]~P45(x15571)+E(f7(x15571,f10(x15571,x15572,x15573),f10(x15571,x15574,x15573)),f10(x15571,f7(x15571,x15572,x15574),x15573))
% 14.81/14.70 [1559]~P45(x15591)+E(f9(x15591,f10(x15591,x15592,x15593),f10(x15591,x15594,x15593)),f10(x15591,f9(x15591,x15592,x15594),x15593))
% 14.81/14.70 [1560]~P53(x15601)+E(f9(x15601,f10(x15601,x15602,x15603),f10(x15601,x15604,x15603)),f10(x15601,f9(x15601,x15602,x15604),x15603))
% 14.81/14.70 [930]~P30(x9302)+E(f45(f8(f71(x9301,x9302),x9303),x9304),f8(x9302,f45(x9303,x9304)))
% 14.81/14.70 [1657]~P10(x16571)+E(f9(x16571,f14(x16571,x16572),f7(x16571,f14(x16571,x16573),x16574)),f7(x16571,f14(x16571,f9(a1,x16572,x16573)),x16574))
% 14.81/14.70 [1658]~P10(x16581)+E(f9(x16581,f14(x16581,x16582),f9(x16581,f14(x16581,x16583),x16584)),f9(x16581,f14(x16581,f9(a1,x16582,x16583)),x16584))
% 14.81/14.70 [1659]~P10(x16591)+E(f10(x16591,f14(x16591,x16592),f10(x16591,f14(x16591,x16593),x16594)),f10(x16591,f14(x16591,f10(a1,x16592,x16593)),x16594))
% 14.81/14.70 [1533]~P54(x15331)+E(f45(f18(x15331,f20(f70(x15331),x15332,x15333)),x15334),f20(x15331,f45(f18(x15331,x15332),x15334),x15333))
% 14.81/14.70 [1634]~P50(x16341)+E(f7(x16341,f45(f18(x16341,x16342),x16343),f45(f18(x16341,x16344),x16343)),f45(f18(x16341,f7(f70(x16341),x16342,x16344)),x16343))
% 14.81/14.70 [1635]~P51(x16351)+E(f9(x16351,f45(f18(x16351,x16352),x16353),f45(f18(x16351,x16354),x16353)),f45(f18(x16351,f9(f70(x16351),x16352,x16354)),x16353))
% 14.81/14.70 [1636]~P51(x16361)+E(f10(x16361,f45(f18(x16361,x16362),x16363),f45(f18(x16361,x16364),x16363)),f45(f18(x16361,f10(f70(x16361),x16362,x16364)),x16363))
% 14.81/14.70 [1705]~P10(x17051)+E(f9(x17051,f14(x17051,x17052),f7(x17051,x17053,f14(x17051,x17054))),f9(x17051,f14(x17051,f9(a1,x17052,f8(a1,x17054))),x17053))
% 14.81/14.70 [1664]~P14(x16641)+E(f9(x16641,f7(x16641,x16642,x16643),f7(x16641,x16644,x16645)),f7(x16641,f9(x16641,x16642,x16644),f9(x16641,x16643,x16645)))
% 14.81/14.70 [1665]~P54(x16651)+E(f9(x16651,f9(x16651,x16652,x16653),f9(x16651,x16654,x16655)),f9(x16651,f9(x16651,x16652,x16654),f9(x16651,x16653,x16655)))
% 14.81/14.70 [1666]~P8(x16661)+E(f25(x16661,f10(x16661,x16662,x16663),f10(x16661,x16664,x16665)),f10(x16661,f25(x16661,x16662,x16664),f25(x16661,x16663,x16665)))
% 14.81/14.70 [1667]~P54(x16671)+E(f10(x16671,f10(x16671,x16672,x16673),f10(x16671,x16674,x16675)),f10(x16671,f10(x16671,x16672,x16674),f10(x16671,x16673,x16675)))
% 14.81/14.70 [1292]~P25(x12922)+E(f45(f7(f71(x12921,x12922),x12923,x12924),x12925),f7(x12922,f45(x12923,x12925),f45(x12924,x12925)))
% 14.81/14.70 [1762]~P74(x17621)+E(f9(x17621,f10(x17621,x17622,x17623),f9(x17621,f10(x17621,x17624,x17623),x17625)),f9(x17621,f10(x17621,f9(x17621,x17622,x17624),x17623),x17625))
% 14.81/14.70 [1769]~P68(x17691)+E(f9(x17691,f10(x17691,x17692,f7(x17691,x17693,x17694)),f10(x17691,f7(x17691,x17692,x17695),x17694)),f7(x17691,f10(x17691,x17692,x17693),f10(x17691,x17695,x17694)))
% 14.81/14.70 [1790]~P48(x17901)+P2(a68,f21(x17901,f7(x17901,f9(x17901,x17902,x17903),f9(x17901,x17904,x17905))),f9(a68,f21(x17901,f7(x17901,x17902,x17904)),f21(x17901,f7(x17901,x17903,x17905))))
% 14.81/14.70 [1791]~P12(x17911)+P2(x17911,f4(x17911,f7(x17911,f9(x17911,x17912,x17913),f9(x17911,x17914,x17915))),f9(x17911,f4(x17911,f7(x17911,x17912,x17914)),f4(x17911,f7(x17911,x17913,x17915))))
% 14.81/14.70 [1792]~P45(x17921)+E(f9(x17921,f9(x17921,f10(x17921,f7(x17921,x17922,x17923),f7(x17921,x17924,x17925)),f10(x17921,f7(x17921,x17922,x17923),x17925)),f10(x17921,x17923,f7(x17921,x17924,x17925))),f7(x17921,f10(x17921,x17922,x17924),f10(x17921,x17923,x17925)))
% 14.81/14.70 [1735]E(x17351,f2(a69))+E(x17351,f9(a69,f2(a69),f3(a69)))+~P3(a69,x17351,f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69)))
% 14.81/14.70 [1491]~P3(a68,f2(a68),x14911)+P77(a500)+P3(a68,f21(a12,f7(a12,f58(x14911),a77)),x14911)
% 14.81/14.70 [1516]~P3(a68,f2(a68),x15161)+P77(a500)+P3(a68,f2(a68),f21(a12,f7(a12,f58(x15161),a77)))
% 14.81/14.70 [1805]E(x18051,f2(a69))+E(x18051,f9(a69,f2(a69),f3(a69)))+~P3(a69,x18051,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))
% 14.81/14.70 [1814]~P6(x18141)+~P10(x18141)+P3(x18141,f2(x18141),f25(x18141,f3(x18141),f14(x18141,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1827]~P3(a68,f2(a68),f21(a12,f7(a12,x18271,a77)))+~P3(a68,f21(a12,f7(a12,x18271,a77)),a22)+P3(a68,f21(a12,f7(a12,f45(f18(a12,a73),x18271),f45(f18(a12,a73),a77))),f25(a68,f4(a68,f7(a68,f21(a12,f45(f18(a12,a73),a77)),f8(a68,a76))),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1831]~P3(a68,f2(a68),x18311)+P77(a500)+~P3(a68,f21(a12,f7(a12,f45(f18(a12,a73),f58(x18311)),f45(f18(a12,a73),a77))),f25(a68,f4(a68,f7(a68,f21(a12,f45(f18(a12,a73),a77)),f8(a68,a76))),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [869]E(x8691,x8692)+P3(a1,x8692,x8691)+P3(a1,x8691,x8692)
% 14.81/14.71 [871]E(x8711,x8712)+P3(a69,x8712,x8711)+P3(a69,x8711,x8712)
% 14.81/14.71 [934]E(x9341,x9342)+P3(a68,x9341,x9342)+~P2(a68,x9341,x9342)
% 14.81/14.71 [935]E(x9351,x9352)+P3(a1,x9351,x9352)+~P2(a1,x9351,x9352)
% 14.81/14.71 [938]E(x9381,x9382)+P3(a69,x9381,x9382)+~P2(a69,x9381,x9382)
% 14.81/14.71 [1032]E(x10321,x10322)+~P2(a68,x10322,x10321)+~P2(a68,x10321,x10322)
% 14.81/14.71 [1033]E(x10331,x10332)+~P2(a1,x10332,x10331)+~P2(a1,x10331,x10332)
% 14.81/14.71 [1034]E(x10341,x10342)+~P2(a69,x10342,x10341)+~P2(a69,x10341,x10342)
% 14.81/14.71 [675]~P62(x6751)+P4(x6751,x6752)+~E(x6752,f2(x6751))
% 14.81/14.71 [677]~P23(x6771)+~E(x6772,f2(x6771))+E(f8(x6771,x6772),x6772)
% 14.81/14.71 [681]~P48(x6811)+~E(x6812,f2(x6811))+E(f21(x6811,x6812),f2(a68))
% 14.81/14.71 [682]~P17(x6821)+~E(f2(x6821),x6822)+E(f8(x6821,x6822),f2(x6821))
% 14.81/14.71 [683]~P17(x6831)+~E(x6832,f2(x6831))+E(f8(x6831,x6832),f2(x6831))
% 14.81/14.71 [684]~P12(x6841)+~E(x6842,f2(x6841))+E(f4(x6841,x6842),f2(x6841))
% 14.81/14.71 [685]~P62(x6852)+~P4(x6852,x6851)+E(x6851,f2(x6852))
% 14.81/14.71 [687]~P23(x6872)+~E(f8(x6872,x6871),x6871)+E(x6871,f2(x6872))
% 14.81/14.71 [694]~P48(x6942)+E(x6941,f2(x6942))+~E(f21(x6942,x6941),f2(a68))
% 14.81/14.71 [696]~P17(x6962)+~E(f8(x6962,x6961),f2(x6962))+E(x6961,f2(x6962))
% 14.81/14.71 [697]~P12(x6972)+~E(f4(x6972,x6971),f2(x6972))+E(x6971,f2(x6972))
% 14.81/14.71 [698]~P17(x6981)+~E(f8(x6981,x6982),f2(x6981))+E(f2(x6981),x6982)
% 14.81/14.71 [738]~E(x7382,f2(a69))+~E(x7381,f2(a69))+E(f9(a69,x7381,x7382),f2(a69))
% 14.81/14.71 [763]~P49(x7632)+E(f25(x7632,x7631,x7631),f3(x7632))+E(x7631,f2(x7632))
% 14.81/14.71 [764]~P55(x7642)+E(f25(x7642,x7641,x7641),f3(x7642))+E(x7641,f2(x7642))
% 14.81/14.71 [781]~P55(x7811)+~E(x7812,f2(x7811))+E(f25(x7811,x7812,x7812),f2(x7811))
% 14.81/14.71 [782]~P23(x7821)+~E(x7822,f2(x7821))+E(f9(x7821,x7822,x7822),f2(x7821))
% 14.81/14.71 [785]~P63(x7851)+~E(x7852,f3(x7851))+E(f10(x7851,x7852,x7852),f3(x7851))
% 14.81/14.71 [795]~P13(x7951)+P3(x7951,x7952,f2(x7951))+E(f4(x7951,x7952),x7952)
% 14.81/14.71 [834]~P48(x8342)+E(x8341,f2(x8342))+P3(a68,f2(a68),f21(x8342,x8341))
% 14.81/14.71 [845]~P48(x8451)+~E(x8452,f2(x8451))+P2(a68,f21(x8451,x8452),f2(a68))
% 14.81/14.71 [847]~P12(x8472)+P3(x8472,f2(x8472),f4(x8472,x8471))+E(x8471,f2(x8472))
% 14.81/14.71 [855]~P12(x8551)+P2(x8551,f4(x8551,x8552),f2(x8551))+~E(x8552,f2(x8551))
% 14.81/14.71 [859]~P23(x8592)+~E(f9(x8592,x8591,x8591),f2(x8592))+E(x8591,f2(x8592))
% 14.81/14.71 [896]~P12(x8961)+~P3(x8961,f2(x8961),x8962)+E(f4(x8961,x8962),x8962)
% 14.81/14.71 [897]~P12(x8971)+~P2(x8971,f2(x8971),x8972)+E(f4(x8971,x8972),x8972)
% 14.81/14.71 [910]~P42(x9101)+P5(x9101,x9102)+P2(a69,f61(x9102,x9101),f64(x9102,x9101))
% 14.81/14.71 [915]~P12(x9151)+~P3(x9151,x9152,f2(x9151))+E(f4(x9151,x9152),f8(x9151,x9152))
% 14.81/14.71 [916]~P12(x9161)+~P2(x9161,x9162,f2(x9161))+E(f4(x9161,x9162),f8(x9161,x9162))
% 14.81/14.71 [917]~P13(x9171)+~P3(x9171,x9172,f2(x9171))+E(f4(x9171,x9172),f8(x9171,x9172))
% 14.81/14.71 [943]~P48(x9432)+E(x9431,f2(x9432))+~P2(a68,f21(x9432,x9431),f2(a68))
% 14.81/14.71 [949]~P48(x9492)+~E(x9491,f2(x9492))+~P3(a68,f2(a68),f21(x9492,x9491))
% 14.81/14.71 [958]~P12(x9582)+~P2(x9582,f4(x9582,x9581),f2(x9582))+E(x9581,f2(x9582))
% 14.81/14.71 [986]~P12(x9862)+~P3(x9862,f2(x9862),f4(x9862,x9861))+~E(x9861,f2(x9862))
% 14.81/14.71 [1043]E(x10431,x10432)+~E(f7(a69,x10432,x10431),f2(a69))+~E(f7(a69,x10431,x10432),f2(a69))
% 14.81/14.71 [1083]~P35(x10831)+~P3(x10831,x10832,f2(x10831))+P3(x10831,x10832,f8(x10831,x10832))
% 14.81/14.71 [1084]~P23(x10841)+~P2(x10841,x10842,f2(x10841))+P2(x10841,x10842,f8(x10841,x10842))
% 14.81/14.71 [1085]~P23(x10851)+~P3(x10851,f2(x10851),x10852)+P3(x10851,f8(x10851,x10852),x10852)
% 14.81/14.71 [1086]~P23(x10861)+~P2(x10861,f2(x10861),x10862)+P2(x10861,f8(x10861,x10862),x10862)
% 14.81/14.71 [1093]~P24(x10931)+~P3(x10931,x10932,f2(x10931))+P3(x10931,f2(x10931),f8(x10931,x10932))
% 14.81/14.71 [1094]~P24(x10941)+~P2(x10941,x10942,f2(x10941))+P2(x10941,f2(x10941),f8(x10941,x10942))
% 14.81/14.71 [1095]~P24(x10951)+~P3(x10951,f2(x10951),x10952)+P3(x10951,f8(x10951,x10952),f2(x10951))
% 14.81/14.71 [1096]~P24(x10961)+~P2(x10961,f2(x10961),x10962)+P2(x10961,f8(x10961,x10962),f2(x10961))
% 14.81/14.71 [1101]~P35(x11011)+~P3(x11011,x11012,f8(x11011,x11012))+P3(x11011,x11012,f2(x11011))
% 14.81/14.71 [1102]~P23(x11021)+~P2(x11021,x11022,f8(x11021,x11022))+P2(x11021,x11022,f2(x11021))
% 14.81/14.71 [1103]~P23(x11031)+~P3(x11031,f8(x11031,x11032),x11032)+P3(x11031,f2(x11031),x11032)
% 14.81/14.71 [1104]~P23(x11041)+~P2(x11041,f8(x11041,x11042),x11042)+P2(x11041,f2(x11041),x11042)
% 14.81/14.71 [1122]~P24(x11221)+~P3(x11221,f2(x11221),f8(x11221,x11222))+P3(x11221,x11222,f2(x11221))
% 14.81/14.71 [1123]~P24(x11231)+~P2(x11231,f2(x11231),f8(x11231,x11232))+P2(x11231,x11232,f2(x11231))
% 14.81/14.71 [1124]~P24(x11241)+~P3(x11241,f8(x11241,x11242),f2(x11241))+P3(x11241,f2(x11241),x11242)
% 14.81/14.71 [1125]~P24(x11251)+~P2(x11251,f8(x11251,x11252),f2(x11251))+P2(x11251,f2(x11251),x11252)
% 14.81/14.71 [1267]~P2(a1,f2(a1),x12672)+~P2(a1,f2(a1),x12671)+P2(a1,f2(a1),f15(x12671,x12672))
% 14.81/14.71 [1268]P2(a1,x12681,x12682)+P2(a1,x12681,a11)+~P2(a69,f14(a69,x12681),f14(a69,x12682))
% 14.81/14.71 [1272]~P3(a1,x12721,x12722)+~P3(a1,a11,x12722)+P3(a69,f14(a69,x12721),f14(a69,x12722))
% 14.81/14.71 [1275]~P23(x12751)+~P3(x12751,f2(x12751),x12752)+P3(x12751,f2(x12751),f9(x12751,x12752,x12752))
% 14.81/14.71 [1277]~P23(x12771)+~P2(x12771,f2(x12771),x12772)+P2(x12771,f2(x12771),f9(x12771,x12772,x12772))
% 14.81/14.71 [1279]~P35(x12791)+~P3(x12791,x12792,f2(x12791))+P3(x12791,f9(x12791,x12792,x12792),f2(x12791))
% 14.81/14.71 [1280]~P23(x12801)+~P3(x12801,x12802,f2(x12801))+P3(x12801,f9(x12801,x12802,x12802),f2(x12801))
% 14.81/14.71 [1281]~P23(x12811)+~P2(x12811,x12812,f2(x12811))+P2(x12811,f9(x12811,x12812,x12812),f2(x12811))
% 14.81/14.71 [1291]~P2(a68,x12911,x12912)+~P2(a68,f8(a68,x12912),x12911)+P2(a68,f4(a68,x12911),x12912)
% 14.81/14.71 [1293]~P3(a1,x12932,x12931)+P3(a1,a11,x12931)+~P3(a69,f14(a69,x12932),f14(a69,x12931))
% 14.81/14.71 [1336]E(x13361,f2(a69))+P3(a69,f2(a69),x13362)+~P3(a69,f2(a69),f20(a69,x13362,x13361))
% 14.81/14.71 [1370]~P35(x13701)+~P3(x13701,f9(x13701,x13702,x13702),f2(x13701))+P3(x13701,x13702,f2(x13701))
% 14.81/14.71 [1371]~P23(x13711)+~P3(x13711,f9(x13711,x13712,x13712),f2(x13711))+P3(x13711,x13712,f2(x13711))
% 14.81/14.71 [1372]~P23(x13721)+~P2(x13721,f9(x13721,x13722,x13722),f2(x13721))+P2(x13721,x13722,f2(x13721))
% 14.81/14.71 [1373]~P23(x13731)+~P3(x13731,f2(x13731),f9(x13731,x13732,x13732))+P3(x13731,f2(x13731),x13732)
% 14.81/14.71 [1374]~P23(x13741)+~P2(x13741,f2(x13741),f9(x13741,x13742,x13742))+P2(x13741,f2(x13741),x13742)
% 14.81/14.71 [1382]P3(a69,f7(a69,x13821,x13822),x13821)+~P3(a69,f2(a69),x13821)+~P3(a69,f2(a69),x13822)
% 14.81/14.71 [1387]~P2(a68,x13871,f2(a68))+~P2(a68,x13872,f2(a68))+P2(a68,f2(a68),f25(a68,x13871,x13872))
% 14.81/14.71 [1388]~P2(a68,x13882,f2(a68))+~P2(a68,f2(a68),x13882)+P2(a68,f2(a68),f25(a68,x13881,x13882))
% 14.81/14.71 [1389]~P2(a68,x13891,f2(a68))+~P2(a68,f2(a68),x13891)+P2(a68,f2(a68),f25(a68,x13891,x13892))
% 14.81/14.71 [1390]~P3(a68,f2(a68),x13902)+~P3(a68,f2(a68),x13901)+P3(a68,f2(a68),f10(a68,x13901,x13902))
% 14.81/14.71 [1391]~P2(a68,f2(a68),x13912)+~P2(a68,f2(a68),x13911)+P2(a68,f2(a68),f25(a68,x13911,x13912))
% 14.81/14.71 [1392]~P2(a1,f2(a1),x13922)+~P2(a1,f2(a1),x13921)+P2(a1,f2(a1),f9(a1,x13921,x13922))
% 14.81/14.71 [1438]P2(a68,x14381,f2(a68))+P2(a68,f2(a68),x14382)+~P2(a68,f2(a68),f25(a68,x14382,x14381))
% 14.81/14.71 [1439]P2(a68,x14391,f2(a68))+P2(a68,f2(a68),x14392)+~P2(a68,f2(a68),f25(a68,x14391,x14392))
% 14.81/14.71 [1440]P3(a69,f2(a69),x14401)+P3(a69,f2(a69),x14402)+~P3(a69,f2(a69),f9(a69,x14402,x14401))
% 14.81/14.71 [700]~P29(x7001)+E(f6(x7001,x7002),f2(a69))+~E(x7002,f2(f70(x7001)))
% 14.81/14.71 [702]~P29(x7022)+~E(f6(x7022,x7021),f2(a69))+E(x7021,f2(f70(x7022)))
% 14.81/14.71 [823]~P10(x8231)+~P36(x8231)+E(f21(x8231,f14(x8231,x8232)),f4(a68,f14(a68,x8232)))
% 14.81/14.71 [835]~P10(x8351)+~P8(x8351)+E(f25(x8351,x8352,f14(x8351,a11)),f2(x8351))
% 14.81/14.71 [848]~P63(x8481)+E(f10(x8481,x8482,x8482),f3(x8481))+~E(x8482,f8(x8481,f3(x8481)))
% 14.81/14.71 [865]~P35(x8651)+P3(f70(x8651),x8652,f2(f70(x8651)))+E(f4(f70(x8651),x8652),x8652)
% 14.81/14.71 [1035]~P35(x10351)+~P3(f70(x10351),x10352,f2(f70(x10351)))+E(f4(f70(x10351),x10352),f8(f70(x10351),x10352))
% 14.81/14.71 [1081]E(x10811,f2(a69))+E(x10812,f2(a69))+~E(f9(a69,x10812,x10811),f9(a69,f2(a69),f3(a69)))
% 14.81/14.71 [1082]E(x10821,f2(a69))+E(x10822,f2(a69))+~E(f9(a69,f2(a69),f3(a69)),f9(a69,x10822,x10821))
% 14.81/14.71 [1149]~E(x11492,f2(a69))+~E(x11491,f9(a69,f2(a69),f3(a69)))+E(f9(a69,x11491,x11492),f9(a69,f2(a69),f3(a69)))
% 14.81/14.71 [1150]~E(x11501,f2(a69))+~E(x11502,f9(a69,f2(a69),f3(a69)))+E(f9(a69,x11501,x11502),f9(a69,f2(a69),f3(a69)))
% 14.81/14.71 [1151]~E(x11512,f2(a69))+~E(x11511,f9(a69,f2(a69),f3(a69)))+E(f9(a69,f2(a69),f3(a69)),f9(a69,x11511,x11512))
% 14.81/14.71 [1152]~E(x11521,f2(a69))+~E(x11522,f9(a69,f2(a69),f3(a69)))+E(f9(a69,f2(a69),f3(a69)),f9(a69,x11521,x11522))
% 14.81/14.71 [1214]E(x12141,f2(a69))+E(x12142,f9(a69,f2(a69),f3(a69)))+~E(f20(a69,x12142,x12141),f9(a69,f2(a69),f3(a69)))
% 14.81/14.71 [1215]E(x12151,f2(a69))+E(x12151,f9(a69,f2(a69),f3(a69)))+~E(f9(a69,x12152,x12151),f9(a69,f2(a69),f3(a69)))
% 14.81/14.71 [1216]E(x12161,f2(a69))+E(x12161,f9(a69,f2(a69),f3(a69)))+~E(f9(a69,x12161,x12162),f9(a69,f2(a69),f3(a69)))
% 14.81/14.71 [1217]E(x12171,f2(a69))+E(x12171,f9(a69,f2(a69),f3(a69)))+~E(f9(a69,f2(a69),f3(a69)),f9(a69,x12172,x12171))
% 14.81/14.71 [1218]E(x12181,f2(a69))+E(x12181,f9(a69,f2(a69),f3(a69)))+~E(f9(a69,f2(a69),f3(a69)),f9(a69,x12181,x12182))
% 14.81/14.71 [1237]P3(a1,x12371,a11)+~P3(a1,x12372,a11)+E(f9(a69,f14(a69,x12371),f14(a69,x12372)),f14(a69,x12371))
% 14.81/14.71 [1284]~E(x12842,f2(a68))+~E(x12841,f2(a68))+E(f9(a68,f10(a68,x12841,x12841),f10(a68,x12842,x12842)),f2(a68))
% 14.81/14.71 [1304]E(x13041,f9(a69,f2(a69),f3(a69)))+E(x13042,f9(a69,f2(a69),f3(a69)))+~E(f9(a69,x13041,x13042),f9(a69,f2(a69),f3(a69)))
% 14.81/14.71 [1305]E(x13051,f9(a69,f2(a69),f3(a69)))+E(x13052,f9(a69,f2(a69),f3(a69)))+~E(f9(a69,f2(a69),f3(a69)),f9(a69,x13051,x13052))
% 14.81/14.71 [1319]~P3(a69,x13191,x13192)+P3(a69,f9(a69,x13191,f3(a69)),x13192)+E(f9(a69,x13191,f3(a69)),x13192)
% 14.81/14.71 [1338]E(x13381,x13382)+P3(a1,x13381,x13382)+~P3(a1,x13381,f9(a1,x13382,f3(a1)))
% 14.81/14.71 [1342]E(x13421,x13422)+P3(a69,x13421,x13422)+~P3(a69,x13421,f9(a69,x13422,f3(a69)))
% 14.81/14.71 [1346]P3(a1,x13461,a11)+P3(a1,x13462,a11)+E(f9(a69,f14(a69,x13461),f14(a69,x13462)),f14(a69,f9(a1,x13461,x13462)))
% 14.81/14.71 [1381]E(x13811,f2(a69))+~E(x13812,f2(a1))+~P3(a1,f2(a1),f20(a1,f4(a1,x13812),x13811))
% 14.81/14.71 [1394]P3(a69,f49(x13942,x13941),x13942)+E(x13941,f2(a69))+~P3(a69,x13941,f9(a69,x13942,f3(a69)))
% 14.81/14.71 [1399]E(x13991,x13992)+~P2(a69,x13992,x13991)+~P3(a69,x13991,f9(a69,x13992,f3(a69)))
% 14.81/14.71 [1400]E(x14001,f2(a69))+~P3(a69,x14001,f9(a69,x14002,f3(a69)))+E(f9(a69,f49(x14002,x14001),f3(a69)),x14001)
% 14.81/14.71 [1424]~P42(x14241)+P5(x14241,x14242)+~P2(x14241,f45(x14242,f64(x14242,x14241)),f45(x14242,f61(x14242,x14241)))
% 14.81/14.71 [1486]P2(a69,x14861,x14862)+~P2(a69,x14861,f9(a69,x14862,f3(a69)))+E(x14861,f9(a69,x14862,f3(a69)))
% 14.81/14.71 [1642]~P3(a68,f16(a69,x16422),x16421)+~P2(a68,x16421,f9(a68,f16(a69,x16422),f3(a68)))+E(f17(x16421),f9(a69,x16422,f3(a69)))
% 14.81/14.71 [1089]~P44(x10891)+~P73(x10891)+E(f20(x10891,f2(x10891),f9(a69,x10892,f3(a69))),f2(x10891))
% 14.81/14.71 [1337]P3(a68,x13371,a34)+~P2(a68,f21(a12,x13372),a72)+~E(f21(a12,f45(f18(a12,a73),x13372)),f8(a68,x13371))
% 14.81/14.71 [1345]P3(a68,x13451,f3(a68))+~P2(a68,f21(a12,x13452),a72)+~E(f21(a12,f45(f18(a12,a73),x13452)),f8(a68,x13451))
% 14.81/14.71 [1437]~P10(x14371)+~E(f14(x14371,x14372),f2(x14371))+P4(x14371,f14(x14371,f9(a1,x14372,f8(a1,a11))))
% 14.81/14.71 [1488]~P10(x14881)+~E(f14(x14881,x14882),f2(x14881))+P4(x14881,f14(x14881,f9(a1,a11,f8(a1,x14882))))
% 14.81/14.71 [1650]P3(a68,f8(a68,a76),x16501)+~P2(a68,f21(a12,x16502),a72)+~P3(a68,f21(a12,f45(f18(a12,a73),x16502)),x16501)
% 14.81/14.71 [1663]~P10(x16631)+E(f14(x16631,x16632),f2(x16631))+~P4(x16631,f14(x16631,f9(a1,x16632,f8(a1,a11))))
% 14.81/14.71 [1673]~P10(x16731)+E(f14(x16731,x16732),f2(x16731))+~P4(x16731,f14(x16731,f9(a1,a11,f8(a1,x16732))))
% 14.81/14.71 [1787]~P10(x17871)+~E(f14(x17871,x17872),f3(x17871))+P4(x17871,f14(x17871,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f8(a1,x17872))))
% 14.81/14.71 [1793]~P10(x17931)+E(f14(x17931,x17932),f3(x17931))+~P4(x17931,f14(x17931,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f8(a1,x17932))))
% 14.81/14.71 [1726]~P2(a69,f63(x17262),x17261)+~P3(a68,f2(a68),x17262)+P3(a68,f21(a12,f7(a12,f74(f45(a67,x17261)),a77)),x17262)
% 14.81/14.71 [1771]~P37(x17711)+~P10(x17711)+~P4(x17711,f14(x17711,f9(a1,f9(a1,f3(a1),x17712),x17712)))
% 14.81/14.71 [1740]~P10(x17401)+~P7(x17401)+E(f25(x17401,x17402,f14(x17401,f9(a1,f9(a1,f3(a1),a11),a11))),x17402)
% 14.81/14.71 [1780]P3(a68,f8(a68,a76),x17801)+~P2(a68,f21(a12,x17802),a72)+~P3(a68,f8(a68,f8(a68,f21(a12,f45(f18(a12,a73),x17802)))),x17801)
% 14.81/14.71 [1796]~P63(x17961)+~E(x17962,f2(x17961))+E(f20(x17961,x17962,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f2(x17961))
% 14.81/14.71 [1797]~P63(x17971)+~E(x17972,f3(x17971))+E(f20(x17971,x17972,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f3(x17971))
% 14.81/14.71 [1798]~P63(x17981)+~E(x17982,f8(x17981,f3(x17981)))+E(f20(x17981,x17982,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f3(x17981))
% 14.81/14.71 [1799]~P10(x17991)+~E(f14(x17991,x17992),f3(x17991))+P4(x17991,f14(x17991,f9(a1,x17992,f8(a1,f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1807]E(f13(x18071),x18072)+~P2(a68,f2(a68),x18072)+~E(f20(a68,x18072,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),x18071)
% 14.81/14.71 [1809]~P10(x18091)+E(f14(x18091,x18092),f3(x18091))+~P4(x18091,f14(x18091,f9(a1,x18092,f8(a1,f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1813]~P35(x18132)+E(x18131,f2(x18132))+P3(x18132,f2(x18132),f20(x18132,x18131,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1824]~P35(x18242)+~E(x18241,f2(x18242))+~P3(x18242,f2(x18242),f20(x18242,x18241,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1829]~E(x18292,f2(a68))+~E(x18291,f2(a68))+E(f9(a68,f20(a68,x18291,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x18292,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(a68))
% 14.81/14.71 [732]~E(x7322,x7323)+~P41(x7321)+P2(x7321,x7322,x7323)
% 14.81/14.71 [734]~E(x7342,x7343)+~P42(x7341)+P2(x7341,x7342,x7343)
% 14.81/14.71 [843]~P3(x8433,x8431,x8432)+~E(x8431,x8432)+~P38(x8433)
% 14.81/14.71 [844]~P3(x8443,x8441,x8442)+~E(x8441,x8442)+~P42(x8443)
% 14.81/14.71 [891]P2(x8911,x8913,x8912)+~P38(x8911)+P3(x8911,x8912,x8913)
% 14.81/14.71 [893]P2(x8931,x8933,x8932)+~P38(x8931)+P2(x8931,x8932,x8933)
% 14.81/14.71 [955]~P41(x9551)+~P3(x9551,x9552,x9553)+P2(x9551,x9552,x9553)
% 14.81/14.71 [957]~P42(x9571)+~P3(x9571,x9572,x9573)+P2(x9571,x9572,x9573)
% 14.81/14.71 [1047]~P3(x10471,x10473,x10472)+~P38(x10471)+~P3(x10471,x10472,x10473)
% 14.81/14.71 [1050]~P2(x10501,x10503,x10502)+~P38(x10501)+~P3(x10501,x10502,x10503)
% 14.81/14.71 [1054]~P3(x10541,x10543,x10542)+~P41(x10541)+~P3(x10541,x10542,x10543)
% 14.81/14.71 [1055]~P2(x10551,x10553,x10552)+~P41(x10551)+~P3(x10551,x10552,x10553)
% 14.81/14.71 [1056]~P3(x10561,x10563,x10562)+~P42(x10561)+~P3(x10561,x10562,x10563)
% 14.81/14.71 [1172]~P2(a68,x11721,x11723)+P2(a68,x11721,x11722)+~P2(a68,x11723,x11722)
% 14.81/14.71 [1173]~P2(a1,x11731,x11733)+P2(a1,x11731,x11732)+~P2(a1,x11733,x11732)
% 14.81/14.71 [1174]~P2(a69,x11741,x11743)+P2(a69,x11741,x11742)+~P2(a69,x11743,x11742)
% 14.81/14.71 [704]~P17(x7042)+~E(x7043,f8(x7042,x7041))+E(x7041,f8(x7042,x7043))
% 14.81/14.71 [706]~P17(x7061)+~E(f8(x7061,x7063),x7062)+E(f8(x7061,x7062),x7063)
% 14.81/14.71 [709]~P17(x7093)+E(x7091,x7092)+~E(f8(x7093,x7091),f8(x7093,x7092))
% 14.81/14.71 [710]~P39(x7103)+E(x7101,x7102)+~E(f8(x7103,x7101),f8(x7103,x7102))
% 14.81/14.71 [756]~E(x7562,x7563)+~P17(x7561)+E(f7(x7561,x7562,x7563),f2(x7561))
% 14.81/14.71 [757]~E(x7572,x7573)+~P14(x7571)+E(f7(x7571,x7572,x7573),f2(x7571))
% 14.81/14.71 [765]~P76(x7651)+~E(x7653,f2(x7651))+E(f9(x7651,x7652,x7653),x7652)
% 14.81/14.71 [783]~P75(x7831)+~E(x7833,f2(x7831))+E(f10(x7831,x7832,x7833),f2(x7831))
% 14.81/14.71 [784]~P75(x7841)+~E(x7842,f2(x7841))+E(f10(x7841,x7842,x7843),f2(x7841))
% 14.81/14.71 [821]~P17(x8211)+~E(x8213,f8(x8211,x8212))+E(f9(x8211,x8212,x8213),f2(x8211))
% 14.81/14.71 [822]~P17(x8221)+~E(x8222,f8(x8221,x8223))+E(f9(x8221,x8222,x8223),f2(x8221))
% 14.81/14.71 [851]~P76(x8512)+~E(f9(x8512,x8513,x8511),x8513)+E(x8511,f2(x8512))
% 14.81/14.71 [853]~P17(x8533)+E(x8531,x8532)+~E(f7(x8533,x8531,x8532),f2(x8533))
% 14.81/14.71 [854]~P14(x8543)+E(x8541,x8542)+~E(f7(x8543,x8541,x8542),f2(x8543))
% 14.81/14.71 [858]~P63(x8582)+~E(f20(x8582,x8581,x8583),f2(x8582))+E(x8581,f2(x8582))
% 14.81/14.71 [882]~P17(x8822)+~E(f9(x8822,x8823,x8821),f2(x8822))+E(x8821,f8(x8822,x8823))
% 14.81/14.71 [883]~P17(x8832)+~E(f9(x8832,x8831,x8833),f2(x8832))+E(x8831,f8(x8832,x8833))
% 14.81/14.71 [884]~P17(x8841)+~E(f9(x8841,x8842,x8843),f2(x8841))+E(f8(x8841,x8842),x8843)
% 14.81/14.71 [939]~P56(x9391)+~E(x9392,f8(x9391,x9393))+E(f10(x9391,x9392,x9392),f10(x9391,x9393,x9393))
% 14.81/14.71 [1036]E(x10361,x10362)+~E(f10(a68,x10363,x10361),f10(a68,x10363,x10362))+E(x10363,f2(a68))
% 14.81/14.71 [1037]E(x10371,x10372)+~E(f10(a68,x10371,x10373),f10(a68,x10372,x10373))+E(x10373,f2(a68))
% 14.81/14.71 [1090]~P35(x10901)+P3(x10901,x10902,x10903)+~P3(x10901,f4(x10901,x10902),x10903)
% 14.81/14.71 [1092]~P12(x10921)+P2(x10921,x10922,x10923)+~P2(x10921,f4(x10921,x10922),x10923)
% 14.81/14.71 [1108]~P1(x11081)+~P3(a69,x11082,x11083)+P3(a69,f45(x11081,x11082),f45(x11081,x11083))
% 14.81/14.71 [1110]~P24(x11101)+~P3(x11101,x11103,x11102)+P3(x11101,f8(x11101,x11102),f8(x11101,x11103))
% 14.81/14.71 [1112]~P24(x11121)+~P2(x11121,x11123,x11122)+P2(x11121,f8(x11121,x11122),f8(x11121,x11123))
% 14.81/14.71 [1114]~P39(x11141)+~P2(x11141,x11143,x11142)+P2(x11141,f8(x11141,x11142),f8(x11141,x11143))
% 14.81/14.71 [1155]~P24(x11551)+~P3(x11551,x11553,f8(x11551,x11552))+P3(x11551,x11552,f8(x11551,x11553))
% 14.81/14.71 [1157]~P24(x11571)+~P2(x11571,x11573,f8(x11571,x11572))+P2(x11571,x11572,f8(x11571,x11573))
% 14.81/14.71 [1159]~P24(x11591)+~P3(x11591,f8(x11591,x11593),x11592)+P3(x11591,f8(x11591,x11592),x11593)
% 14.81/14.71 [1160]~P35(x11601)+~P3(x11601,f4(x11601,x11602),x11603)+P3(x11601,f8(x11601,x11602),x11603)
% 14.81/14.71 [1162]~P24(x11621)+~P2(x11621,f8(x11621,x11623),x11622)+P2(x11621,f8(x11621,x11622),x11623)
% 14.81/14.71 [1164]~P12(x11641)+~P2(x11641,f4(x11641,x11642),x11643)+P2(x11641,f8(x11641,x11642),x11643)
% 14.81/14.71 [1177]~P2(a69,x11773,x11771)+~E(f7(a69,x11771,x11773),x11772)+E(x11771,f9(a69,x11772,x11773))
% 14.81/14.71 [1178]~P2(a69,x11782,x11781)+~E(x11781,f9(a69,x11783,x11782))+E(f7(a69,x11781,x11782),x11783)
% 14.81/14.71 [1182]~P24(x11821)+P3(x11821,x11822,x11823)+~P3(x11821,f8(x11821,x11823),f8(x11821,x11822))
% 14.81/14.71 [1183]~P24(x11831)+P2(x11831,x11832,x11833)+~P2(x11831,f8(x11831,x11833),f8(x11831,x11832))
% 14.81/14.71 [1184]~P39(x11841)+P2(x11841,x11842,x11843)+~P2(x11841,f8(x11841,x11843),f8(x11841,x11842))
% 14.81/14.71 [1269]~P24(x12691)+~P3(x12691,x12692,x12693)+P3(x12691,f7(x12691,x12692,x12693),f2(x12691))
% 14.81/14.71 [1270]~P24(x12701)+~P2(x12701,x12702,x12703)+P2(x12701,f7(x12701,x12702,x12703),f2(x12701))
% 14.81/14.71 [1274]~P59(x12741)+~P3(x12741,f2(x12741),x12742)+P3(x12741,f2(x12741),f20(x12741,x12742,x12743))
% 14.81/14.71 [1276]~P59(x12761)+~P2(x12761,f2(x12761),x12762)+P2(x12761,f2(x12761),f20(x12761,x12762,x12763))
% 14.81/14.71 [1278]~P59(x12781)+~P2(x12781,f3(x12781),x12782)+P2(x12781,f3(x12781),f20(x12781,x12782,x12783))
% 14.81/14.71 [1351]~P24(x13511)+P3(x13511,x13512,x13513)+~P3(x13511,f7(x13511,x13512,x13513),f2(x13511))
% 14.81/14.71 [1352]~P24(x13521)+P2(x13521,x13522,x13523)+~P2(x13521,f7(x13521,x13522,x13523),f2(x13521))
% 14.81/14.71 [1539]~P3(a69,x15393,x15391)+~P3(a69,x15393,x15392)+P3(a69,f7(a69,x15391,x15392),f7(a69,x15391,x15393))
% 14.81/14.71 [1540]~P3(a69,x15401,x15403)+~P2(a69,x15402,x15401)+P3(a69,f7(a69,x15401,x15402),f7(a69,x15403,x15402))
% 14.81/14.71 [1543]~P3(a68,x15431,x15433)+P3(a68,f10(a68,x15431,x15432),f10(a68,x15433,x15432))+~P3(a68,f2(a68),x15432)
% 14.81/14.71 [1544]~P3(a68,x15442,x15443)+P3(a68,f10(a68,x15441,x15442),f10(a68,x15441,x15443))+~P3(a68,f2(a68),x15441)
% 14.81/14.71 [1627]~P2(a69,x16273,x16272)+~P2(a69,f9(a69,x16271,x16273),x16272)+P2(a69,x16271,f7(a69,x16272,x16273))
% 14.81/14.71 [1628]~P2(a69,x16282,x16283)+~P2(a69,x16281,f7(a69,x16283,x16282))+P2(a69,f9(a69,x16281,x16282),x16283)
% 14.81/14.71 [1678]P3(a68,x16781,x16782)+~P3(a68,f10(a68,x16781,x16783),f10(a68,x16782,x16783))+~P3(a68,f2(a68),x16783)
% 14.81/14.71 [1679]P3(a69,x16791,x16792)+~P3(a69,f20(a69,x16793,x16791),f20(a69,x16793,x16792))+~P3(a69,f2(a69),x16793)
% 14.81/14.71 [755]~P56(x7551)+~E(x7552,f2(f70(x7551)))+E(f45(f18(x7551,x7552),x7553),f2(x7551))
% 14.81/14.71 [868]~P56(x8681)+E(f19(x8681,x8682,x8683),f2(a69))+E(f45(f18(x8681,x8683),x8682),f2(x8681))
% 14.81/14.71 [1039]~P49(x10392)+E(x10391,f2(x10392))+E(f25(x10392,f8(x10392,x10393),f8(x10392,x10391)),f25(x10392,x10393,x10391))
% 14.81/14.71 [1153]~P49(x11532)+E(x11531,f2(x11532))+E(f25(x11532,x11533,f8(x11532,x11531)),f8(x11532,f25(x11532,x11533,x11531)))
% 14.81/14.71 [1211]~P46(x12112)+E(x12111,f2(x12112))+E(f25(a68,f21(x12112,x12113),f21(x12112,x12111)),f21(x12112,f25(x12112,x12113,x12111)))
% 14.81/14.71 [1212]~P9(x12122)+E(x12121,f2(x12122))+E(f25(x12122,f4(x12122,x12123),f4(x12122,x12121)),f4(x12122,f25(x12122,x12123,x12121)))
% 14.81/14.71 [1213]~P46(x12131)+~P8(x12131)+E(f25(a68,f21(x12131,x12132),f21(x12131,x12133)),f21(x12131,f25(x12131,x12132,x12133)))
% 14.81/14.71 [1320]~P6(x13201)+~P3(x13201,f2(x13201),x13203)+E(f25(x13201,f4(x13201,x13202),x13203),f4(x13201,f25(x13201,x13202,x13203)))
% 14.81/14.71 [1369]~P3(a69,x13691,x13693)+~P3(a69,x13693,x13692)+P3(a69,f9(a69,x13691,f3(a69)),x13692)
% 14.81/14.71 [1386]~P3(a69,x13863,x13862)+P3(a69,x13861,f9(a69,x13862,f3(a69)))+~E(x13861,f9(a69,x13863,f3(a69)))
% 14.81/14.71 [1561]~P60(x15612)+E(x15611,f2(x15612))+~E(f9(x15612,f10(x15612,x15613,x15613),f10(x15612,x15611,x15611)),f2(x15612))
% 14.81/14.71 [1562]~P60(x15622)+E(x15621,f2(x15622))+~E(f9(x15622,f10(x15622,x15621,x15621),f10(x15622,x15623,x15623)),f2(x15622))
% 14.81/14.71 [1570]P3(a69,x15702,x15701)+E(f9(a69,x15701,f59(x15701,x15702,x15703)),x15702)+P78(f45(x15703,f7(a69,x15702,x15701)))
% 14.81/14.71 [1571]P3(a69,x15712,x15711)+E(f9(a69,x15711,f60(x15711,x15712,x15713)),x15712)+P78(f45(x15713,f7(a69,x15712,x15711)))
% 14.81/14.71 [1577]E(f9(a69,x15771,f59(x15771,x15772,x15773)),x15772)+P78(f45(x15773,f7(a69,x15772,x15771)))+~P78(f45(x15773,f2(a69)))
% 14.81/14.71 [1578]E(f9(a69,x15781,f60(x15781,x15782,x15783)),x15782)+P78(f45(x15783,f7(a69,x15782,x15781)))+~P78(f45(x15783,f2(a69)))
% 14.81/14.71 [1614]~P2(a69,x16142,x16143)+~P2(a69,x16142,x16141)+E(f7(a69,f7(a69,x16141,x16142),f7(a69,x16143,x16142)),f7(a69,x16141,x16143))
% 14.81/14.71 [1633]~P3(a69,x16332,x16333)+~P78(f45(x16331,f7(a69,x16332,x16333)))+P78(f45(x16331,f2(a69)))
% 14.81/14.71 [1727]P3(a69,x17271,x17272)+~P78(f45(x17273,f59(x17272,x17271,x17273)))+P78(f45(x17273,f7(a69,x17271,x17272)))
% 14.81/14.71 [1728]P3(a69,x17281,x17282)+~P78(f45(x17283,f60(x17282,x17281,x17283)))+P78(f45(x17283,f7(a69,x17281,x17282)))
% 14.81/14.71 [1729]~P78(f45(x17291,f59(x17293,x17292,x17291)))+P78(f45(x17291,f7(a69,x17292,x17293)))+~P78(f45(x17291,f2(a69)))
% 14.81/14.71 [1730]~P78(f45(x17301,f60(x17303,x17302,x17301)))+P78(f45(x17301,f7(a69,x17302,x17303)))+~P78(f45(x17301,f2(a69)))
% 14.81/14.71 [1490]~P10(x14901)+~E(f14(x14901,x14902),f14(x14901,x14903))+P4(x14901,f14(x14901,f9(a1,x14902,f8(a1,x14903))))
% 14.81/14.71 [1631]~P59(x16311)+~P3(x16311,f3(x16311),x16312)+P3(x16311,f3(x16311),f20(x16311,x16312,f9(a69,x16313,f3(a69))))
% 14.81/14.71 [1689]~P10(x16891)+E(f14(x16891,x16892),f14(x16891,x16893))+~P4(x16891,f14(x16891,f9(a1,x16892,f8(a1,x16893))))
% 14.81/14.71 [1741]~P9(x17411)+~P3(x17411,x17412,x17413)+P3(x17411,x17412,f25(x17411,f9(x17411,x17412,x17413),f9(x17411,f3(x17411),f3(x17411))))
% 14.81/14.71 [1742]~P9(x17421)+~P3(x17421,x17422,x17423)+P3(x17421,f25(x17421,f9(x17421,x17422,x17423),f9(x17421,f3(x17421),f3(x17421))),x17423)
% 14.81/14.71 [1758]~P56(x17581)+~E(x17582,f8(x17581,x17583))+E(f20(x17581,x17582,f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69))),f20(x17581,x17583,f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69))))
% 14.81/14.71 [1778]~P48(x17782)+P3(a68,f2(a68),f38(x17781,x17782))+~P3(a68,f21(x17782,f45(x17781,f39(x17781,x17782,x17783))),f16(a69,f9(a69,x17783,f3(a69))))
% 14.81/14.71 [1779]~P48(x17792)+P3(a68,f2(a68),f48(x17791,x17792))+~P2(a68,f21(x17792,f45(x17791,f42(x17791,x17792,x17793))),f16(a69,f9(a69,x17793,f3(a69))))
% 14.81/14.71 [1834]~P35(x18342)+E(x18341,f2(x18342))+~E(f9(x18342,f20(x18342,x18343,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18342,x18341,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(x18342))
% 14.81/14.71 [1835]~P35(x18352)+E(x18351,f2(x18352))+~E(f9(x18352,f20(x18352,x18351,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18352,x18353,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(x18352))
% 14.81/14.71 [1839]~P35(x18392)+E(x18391,f2(x18392))+P3(x18392,f2(x18392),f9(x18392,f20(x18392,x18393,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18392,x18391,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))))
% 14.81/14.71 [1840]~P35(x18402)+E(x18401,f2(x18402))+P3(x18402,f2(x18402),f9(x18402,f20(x18402,x18401,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18402,x18403,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))))
% 14.81/14.71 [1845]~P35(x18452)+E(x18451,f2(x18452))+~P2(x18452,f9(x18452,f20(x18452,x18453,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18452,x18451,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(x18452))
% 14.81/14.71 [1846]~P35(x18462)+E(x18461,f2(x18462))+~P2(x18462,f9(x18462,f20(x18462,x18461,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18462,x18463,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(x18462))
% 14.81/14.71 [1849]~P3(a68,f4(a68,x18491),f25(a68,x18493,f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))))+~P3(a68,f4(a68,x18492),f25(a68,x18493,f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))))+P3(a68,f13(f9(a68,f20(a68,x18491,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x18492,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x18493)
% 14.81/14.71 [1059]~P18(x10593)+E(x10591,x10592)+~E(f9(x10593,x10594,x10591),f9(x10593,x10594,x10592))
% 14.81/14.71 [1060]~P19(x10603)+E(x10601,x10602)+~E(f9(x10603,x10604,x10601),f9(x10603,x10604,x10602))
% 14.81/14.71 [1062]~P18(x10623)+E(x10621,x10622)+~E(f9(x10623,x10621,x10624),f9(x10623,x10622,x10624))
% 14.81/14.71 [1165]~P43(x11652)+~P3(f71(x11651,x11652),x11653,x11654)+P2(f71(x11651,x11652),x11653,x11654)
% 14.81/14.71 [1271]~P43(x12711)+~P2(f71(x12712,x12711),x12714,x12713)+~P3(f71(x12712,x12711),x12713,x12714)
% 14.81/14.71 [1318]~P3(a69,x13183,x13184)+P3(a69,x13181,x13182)+~E(f9(a69,x13183,x13182),f9(a69,x13181,x13184))
% 14.81/14.71 [1429]~P31(x14291)+~P3(x14291,x14293,x14294)+P3(x14291,f9(x14291,x14292,x14293),f9(x14291,x14292,x14294))
% 14.81/14.71 [1430]~P33(x14301)+~P3(x14301,x14303,x14304)+P3(x14301,f9(x14301,x14302,x14303),f9(x14301,x14302,x14304))
% 14.81/14.71 [1431]~P31(x14311)+~P3(x14311,x14312,x14314)+P3(x14311,f9(x14311,x14312,x14313),f9(x14311,x14314,x14313))
% 14.81/14.71 [1432]~P33(x14321)+~P3(x14321,x14322,x14324)+P3(x14321,f9(x14321,x14322,x14323),f9(x14321,x14324,x14323))
% 14.81/14.71 [1433]~P31(x14331)+~P2(x14331,x14333,x14334)+P2(x14331,f9(x14331,x14332,x14333),f9(x14331,x14332,x14334))
% 14.81/14.71 [1434]~P32(x14341)+~P2(x14341,x14343,x14344)+P2(x14341,f9(x14341,x14342,x14343),f9(x14341,x14342,x14344))
% 14.81/14.71 [1435]~P31(x14351)+~P2(x14351,x14352,x14354)+P2(x14351,f9(x14351,x14352,x14353),f9(x14351,x14354,x14353))
% 14.81/14.71 [1436]~P32(x14361)+~P2(x14361,x14362,x14364)+P2(x14361,f9(x14361,x14362,x14363),f9(x14361,x14364,x14363))
% 14.81/14.71 [1538]~P3(a1,x15381,x15383)+~P2(a1,x15382,x15384)+P3(a1,f9(a1,x15381,x15382),f9(a1,x15383,x15384))
% 14.81/14.71 [1541]~P3(a69,x15412,x15414)+~P3(a69,x15411,x15413)+P3(a69,f9(a69,x15411,x15412),f9(a69,x15413,x15414))
% 14.81/14.71 [1542]~P2(a69,x15422,x15424)+~P2(a69,x15421,x15423)+P2(a69,f9(a69,x15421,x15422),f9(a69,x15423,x15424))
% 14.81/14.71 [1620]~P31(x16201)+P3(x16201,x16202,x16203)+~P3(x16201,f9(x16201,x16204,x16202),f9(x16201,x16204,x16203))
% 14.81/14.71 [1622]~P31(x16221)+P3(x16221,x16222,x16223)+~P3(x16221,f9(x16221,x16222,x16224),f9(x16221,x16223,x16224))
% 14.81/14.71 [1624]~P31(x16241)+P2(x16241,x16242,x16243)+~P2(x16241,f9(x16241,x16244,x16242),f9(x16241,x16244,x16243))
% 14.81/14.71 [1626]~P31(x16261)+P2(x16261,x16262,x16263)+~P2(x16261,f9(x16261,x16262,x16264),f9(x16261,x16263,x16264))
% 14.81/14.71 [1383]~P8(x13832)+E(x13831,f2(x13832))+E(f25(x13832,f10(x13832,x13833,x13831),f10(x13832,x13834,x13831)),f25(x13832,x13833,x13834))
% 14.81/14.71 [1384]~P8(x13842)+E(x13841,f2(x13842))+E(f25(x13842,f10(x13842,x13841,x13843),f10(x13842,x13841,x13844)),f25(x13842,x13843,x13844))
% 14.81/14.71 [1563]~P7(x15632)+E(x15631,f2(x15632))+E(f25(x15632,f20(x15632,x15633,x15634),f20(x15632,x15631,x15634)),f20(x15632,f25(x15632,x15633,x15631),x15634))
% 14.81/14.71 [1630]~E(x16303,f9(a69,x16304,x16302))+P78(f45(x16301,x16302))+~P78(f45(x16301,f7(a69,x16303,x16304)))
% 14.81/14.71 [1708]~P35(x17081)+P3(x17081,x17082,f9(x17081,x17083,x17084))+~P3(x17081,f4(x17081,f7(x17081,x17082,x17083)),x17084)
% 14.81/14.71 [1709]~P35(x17091)+P3(x17091,f7(x17091,x17092,x17093),x17094)+~P3(x17091,f4(x17091,f7(x17091,x17094,x17092)),x17093)
% 14.81/14.71 [1802]~P43(x18022)+P2(f71(x18021,x18022),x18023,x18024)+~P2(x18022,f45(x18023,f65(x18024,x18023,x18021,x18022)),f45(x18024,f65(x18024,x18023,x18021,x18022)))
% 14.81/14.71 [1691]~P11(x16911)+~P68(x16911)+E(f7(x16911,f10(x16911,f14(x16911,x16912),x16913),f10(x16911,f14(x16911,x16912),x16914)),f10(x16911,f14(x16911,x16912),f7(x16911,x16913,x16914)))
% 14.81/14.71 [1692]~P11(x16921)+~P74(x16921)+E(f9(x16921,f10(x16921,f14(x16921,x16922),x16923),f10(x16921,f14(x16921,x16922),x16924)),f10(x16921,f14(x16921,x16922),f9(x16921,x16923,x16924)))
% 14.81/14.71 [1693]~P11(x16931)+~P68(x16931)+E(f7(x16931,f10(x16931,x16932,f14(x16931,x16933)),f10(x16931,x16934,f14(x16931,x16933))),f10(x16931,f7(x16931,x16932,x16934),f14(x16931,x16933)))
% 14.81/14.71 [1694]~P11(x16941)+~P74(x16941)+E(f9(x16941,f10(x16941,x16942,f14(x16941,x16943)),f10(x16941,x16944,f14(x16941,x16943))),f10(x16941,f9(x16941,x16942,x16944),f14(x16941,x16943)))
% 14.81/14.71 [1781]~P48(x17811)+P2(a68,f21(x17811,f45(x17812,x17813)),f38(x17812,x17811))+~P3(a68,f21(x17811,f45(x17812,f39(x17812,x17811,x17814))),f16(a69,f9(a69,x17814,f3(a69))))
% 14.81/14.71 [1782]~P48(x17821)+P2(a68,f21(x17821,f45(x17822,x17823)),f48(x17822,x17821))+~P2(a68,f21(x17821,f45(x17822,f42(x17822,x17821,x17824))),f16(a69,f9(a69,x17824,f3(a69))))
% 14.81/14.71 [1230]~P43(x12301)+P2(x12301,f45(x12302,x12303),f45(x12304,x12303))+~P2(f71(x12305,x12301),x12302,x12304)
% 14.81/14.71 [1764]~P68(x17642)+~E(f9(x17642,f10(x17642,x17644,x17645),x17641),f9(x17642,f10(x17642,x17643,x17645),x17646))+E(x17641,f9(x17642,f10(x17642,f7(x17642,x17643,x17644),x17645),x17646))
% 14.81/14.71 [1765]~P68(x17651)+~E(f9(x17651,f10(x17651,x17652,x17654),x17655),f9(x17651,f10(x17651,x17653,x17654),x17656))+E(f9(x17651,f10(x17651,f7(x17651,x17652,x17653),x17654),x17655),x17656)
% 14.81/14.71 [1766]~P68(x17661)+E(f9(x17661,f10(x17661,x17662,x17663),x17664),f9(x17661,f10(x17661,x17665,x17663),x17666))+~E(x17666,f9(x17661,f10(x17661,f7(x17661,x17662,x17665),x17663),x17664))
% 14.81/14.71 [1767]~P68(x17671)+E(f9(x17671,f10(x17671,x17672,x17673),x17674),f9(x17671,f10(x17671,x17675,x17673),x17676))+~E(f9(x17671,f10(x17671,f7(x17671,x17672,x17675),x17673),x17674),x17676)
% 14.81/14.71 [1808]E(x18081,f3(a1))+E(x18081,f2(a1))+~P2(a1,f2(a1),x18081)+~P3(a1,x18081,f14(a1,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))
% 14.81/14.71 [1071]~P10(x10711)+~P35(x10711)+P3(x10711,f2(x10711),f14(x10711,x10712))+~P3(a1,a11,x10712)
% 14.81/14.71 [1072]~P10(x10721)+~P35(x10721)+P2(x10721,f2(x10721),f14(x10721,x10722))+~P2(a1,a11,x10722)
% 14.81/14.71 [1073]~P10(x10731)+~P35(x10731)+P3(x10731,f14(x10731,x10732),f2(x10731))+~P3(a1,x10732,a11)
% 14.81/14.71 [1074]~P10(x10741)+~P35(x10741)+P2(x10741,f14(x10741,x10742),f2(x10741))+~P2(a1,x10742,a11)
% 14.81/14.71 [1117]~P35(x11172)+~P10(x11172)+~P3(x11172,f14(x11172,x11171),f2(x11172))+P3(a1,x11171,a11)
% 14.81/14.71 [1118]~P35(x11182)+~P10(x11182)+~P2(x11182,f14(x11182,x11181),f2(x11182))+P2(a1,x11181,a11)
% 14.81/14.71 [1119]~P35(x11192)+~P10(x11192)+~P3(x11192,f2(x11192),f14(x11192,x11191))+P3(a1,a11,x11191)
% 14.81/14.71 [1120]~P35(x11202)+~P10(x11202)+~P2(x11202,f2(x11202),f14(x11202,x11201))+P2(a1,a11,x11201)
% 14.81/14.71 [794]~P44(x7942)+~P73(x7942)+E(x7941,f2(a69))+E(f20(x7942,f2(x7942),x7941),f2(x7942))
% 14.81/14.71 [798]~P44(x7981)+~P73(x7981)+~E(x7982,f2(a69))+E(f20(x7981,f2(x7981),x7982),f3(x7981))
% 14.81/14.71 [908]~P63(x9082)+~E(f10(x9082,x9081,x9081),f3(x9082))+E(x9081,f3(x9082))+E(x9081,f8(x9082,f3(x9082)))
% 14.81/14.71 [995]~P10(x9951)+~P35(x9951)+P3(x9951,f14(x9951,x9952),f2(x9951))+E(f4(x9951,f14(x9951,x9952)),f14(x9951,x9952))
% 14.81/14.71 [1185]~P10(x11851)+~P35(x11851)+~P3(x11851,f14(x11851,x11852),f2(x11851))+E(f4(x11851,f14(x11851,x11852)),f8(x11851,f14(x11851,x11852)))
% 14.81/14.71 [1353]~P10(x13531)+~P37(x13531)+~P4(x13531,f14(x13531,x13532))+P4(x13531,f14(x13531,f9(a1,x13532,x13532)))
% 14.81/14.71 [1564]~P10(x15641)+~P37(x15641)+P4(x15641,f14(x15641,x15642))+~P4(x15641,f14(x15641,f9(a1,x15642,x15642)))
% 14.81/14.71 [1651]~P35(x16512)+~P10(x16512)+~P3(x16512,f14(x16512,x16511),f3(x16512))+P3(a1,x16511,f9(a1,f9(a1,f3(a1),a11),a11))
% 14.81/14.71 [1652]~P35(x16522)+~P10(x16522)+~P2(x16522,f14(x16522,x16521),f3(x16522))+P2(a1,x16521,f9(a1,f9(a1,f3(a1),a11),a11))
% 14.81/14.71 [1653]~P35(x16532)+~P10(x16532)+~P3(x16532,f3(x16532),f14(x16532,x16531))+P3(a1,f9(a1,f9(a1,f3(a1),a11),a11),x16531)
% 14.81/14.71 [1654]~P35(x16542)+~P10(x16542)+~P2(x16542,f3(x16542),f14(x16542,x16541))+P2(a1,f9(a1,f9(a1,f3(a1),a11),a11),x16541)
% 14.81/14.71 [1731]~P10(x17311)+~P35(x17311)+P3(x17311,f3(x17311),f14(x17311,x17312))+~P3(a1,f9(a1,f9(a1,f3(a1),a11),a11),x17312)
% 14.81/14.71 [1732]~P10(x17321)+~P35(x17321)+P2(x17321,f3(x17321),f14(x17321,x17322))+~P2(a1,f9(a1,f9(a1,f3(a1),a11),a11),x17322)
% 14.81/14.71 [1733]~P10(x17331)+~P35(x17331)+P3(x17331,f14(x17331,x17332),f3(x17331))+~P3(a1,x17332,f9(a1,f9(a1,f3(a1),a11),a11))
% 14.81/14.71 [1734]~P10(x17341)+~P35(x17341)+P2(x17341,f14(x17341,x17342),f3(x17341))+~P2(a1,x17342,f9(a1,f9(a1,f3(a1),a11),a11))
% 14.81/14.71 [1804]~P63(x18042)+E(x18041,f3(x18042))+E(x18041,f8(x18042,f3(x18042)))+~E(f20(x18042,x18041,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f3(x18042))
% 14.81/14.71 [1817]~P6(x18171)+~P10(x18171)+~P3(x18171,f2(x18171),x18172)+P3(x18171,f2(x18171),f25(x18171,x18172,f14(x18171,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1825]~P6(x18251)+~P10(x18251)+P3(x18251,f2(x18251),x18252)+~P3(x18251,f2(x18251),f25(x18251,x18252,f14(x18251,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [898]P3(x8983,x8981,x8982)+~P35(x8983)+E(x8981,x8982)+P3(x8983,x8982,x8981)
% 14.81/14.71 [904]P3(x9043,x9041,x9042)+~P38(x9043)+E(x9041,x9042)+P3(x9043,x9042,x9041)
% 14.81/14.71 [905]P2(x9051,x9052,x9053)+~E(x9052,x9053)+~P38(x9051)+P3(x9051,x9052,x9053)
% 14.81/14.71 [963]~P42(x9633)+~P2(x9633,x9632,x9631)+E(x9631,x9632)+P3(x9633,x9632,x9631)
% 14.81/14.71 [965]~P38(x9653)+~P2(x9653,x9651,x9652)+E(x9651,x9652)+P3(x9653,x9651,x9652)
% 14.81/14.71 [971]~P42(x9713)+~P2(x9713,x9711,x9712)+E(x9711,x9712)+P3(x9713,x9711,x9712)
% 14.81/14.71 [1069]~P2(x10693,x10692,x10691)+~P2(x10693,x10691,x10692)+E(x10691,x10692)+~P42(x10693)
% 14.81/14.71 [1121]P2(x11211,x11213,x11212)+~P41(x11211)+~P2(x11211,x11212,x11213)+P3(x11211,x11212,x11213)
% 14.81/14.71 [722]~P37(x7223)+~P56(x7223)+E(x7221,x7222)+~E(f18(x7223,x7221),f18(x7223,x7222))
% 14.81/14.71 [723]~P10(x7233)+~P37(x7233)+E(x7231,x7232)+~E(f14(x7233,x7231),f14(x7233,x7232))
% 14.81/14.71 [786]~E(x7863,x7861)+~P49(x7862)+E(f25(x7862,x7863,x7861),f3(x7862))+E(x7861,f2(x7862))
% 14.81/14.71 [864]~P49(x8643)+E(x8641,x8642)+~E(f25(x8643,x8641,x8642),f3(x8643))+E(x8642,f2(x8643))
% 14.81/14.71 [873]~P67(x8732)+~E(f10(x8732,x8733,x8731),f2(x8732))+E(x8731,f2(x8732))+E(x8733,f2(x8732))
% 14.81/14.71 [874]~P75(x8742)+~E(f10(x8742,x8743,x8741),f2(x8742))+E(x8741,f2(x8742))+E(x8743,f2(x8742))
% 14.81/14.71 [1107]~P56(x11073)+E(x11071,x11072)+~E(f10(x11073,x11071,x11071),f10(x11073,x11072,x11072))+E(x11071,f8(x11073,x11072))
% 14.81/14.71 [1126]~P10(x11261)+~P35(x11261)+~P3(a1,x11262,x11263)+P3(x11261,f14(x11261,x11262),f14(x11261,x11263))
% 14.81/14.71 [1127]~P10(x11271)+~P35(x11271)+~P2(a1,x11272,x11273)+P2(x11271,f14(x11271,x11272),f14(x11271,x11273))
% 14.81/14.71 [1205]~P35(x12053)+~P10(x12053)+~P3(x12053,f14(x12053,x12051),f14(x12053,x12052))+P3(a1,x12051,x12052)
% 14.81/14.71 [1206]~P35(x12063)+~P10(x12063)+~P2(x12063,f14(x12063,x12061),f14(x12063,x12062))+P2(a1,x12061,x12062)
% 14.81/14.71 [1315]~P35(x13151)+~P3(x13151,x13152,x13153)+~P3(x13151,f8(x13151,x13152),x13153)+P3(x13151,f4(x13151,x13152),x13153)
% 14.81/14.71 [1317]~P12(x13171)+~P2(x13171,x13172,x13173)+~P2(x13171,f8(x13171,x13172),x13173)+P2(x13171,f4(x13171,x13172),x13173)
% 14.81/14.71 [1385]E(x13851,x13852)+~P2(a69,x13853,x13852)+~P2(a69,x13853,x13851)+~E(f7(a69,x13851,x13853),f7(a69,x13852,x13853))
% 14.81/14.71 [1428]~P59(x14281)+~P3(x14281,f3(x14281),x14282)+P3(x14281,f3(x14281),f20(x14281,x14282,x14283))+~P3(a69,f2(a69),x14283)
% 14.81/14.71 [1442]~P6(x14421)+~P3(x14421,x14423,f2(x14421))+~P3(x14421,x14422,f2(x14421))+P3(x14421,f2(x14421),f25(x14421,x14422,x14423))
% 14.81/14.71 [1443]~P9(x14431)+~P3(x14431,x14433,f2(x14431))+~P3(x14431,x14432,f2(x14431))+P3(x14431,f2(x14431),f25(x14431,x14432,x14433))
% 14.81/14.71 [1444]~P60(x14441)+~P3(x14441,x14443,f2(x14441))+~P3(x14441,x14442,f2(x14441))+P3(x14441,f2(x14441),f10(x14441,x14442,x14443))
% 14.81/14.71 [1445]~P6(x14451)+~P2(x14451,x14453,f2(x14451))+~P2(x14451,x14452,f2(x14451))+P2(x14451,f2(x14451),f25(x14451,x14452,x14453))
% 14.81/14.71 [1446]~P9(x14461)+~P3(x14461,x14463,f2(x14461))+~P2(x14461,x14462,f2(x14461))+P2(x14461,f2(x14461),f25(x14461,x14462,x14463))
% 14.81/14.71 [1447]~P60(x14471)+~P2(x14471,x14473,f2(x14471))+~P2(x14471,x14472,f2(x14471))+P2(x14471,f2(x14471),f10(x14471,x14472,x14473))
% 14.81/14.71 [1449]~P70(x14491)+~P2(x14491,x14493,f2(x14491))+~P2(x14491,x14492,f2(x14491))+P2(x14491,f2(x14491),f10(x14491,x14492,x14493))
% 14.81/14.71 [1450]~P6(x14501)+~P3(x14501,f2(x14501),x14503)+~P3(x14501,f2(x14501),x14502)+P3(x14501,f2(x14501),f25(x14501,x14502,x14503))
% 14.81/14.71 [1451]~P9(x14511)+~P3(x14511,f2(x14511),x14513)+~P3(x14511,f2(x14511),x14512)+P3(x14511,f2(x14511),f25(x14511,x14512,x14513))
% 14.81/14.71 [1452]~P34(x14521)+~P3(x14521,f2(x14521),x14523)+~P3(x14521,f2(x14521),x14522)+P3(x14521,f2(x14521),f9(x14521,x14522,x14523))
% 14.81/14.71 [1455]~P66(x14551)+~P3(x14551,f2(x14551),x14553)+~P3(x14551,f2(x14551),x14552)+P3(x14551,f2(x14551),f10(x14551,x14552,x14553))
% 14.81/14.71 [1456]~P59(x14561)+~P3(x14561,f3(x14561),x14563)+~P3(x14561,f3(x14561),x14562)+P3(x14561,f3(x14561),f10(x14561,x14562,x14563))
% 14.81/14.71 [1457]~P6(x14571)+~P2(x14571,f2(x14571),x14573)+~P2(x14571,f2(x14571),x14572)+P2(x14571,f2(x14571),f25(x14571,x14572,x14573))
% 14.81/14.71 [1458]~P9(x14581)+~P3(x14581,f2(x14581),x14583)+~P2(x14581,f2(x14581),x14582)+P2(x14581,f2(x14581),f25(x14581,x14582,x14583))
% 14.81/14.71 [1460]~P60(x14601)+~P2(x14601,f2(x14601),x14603)+~P2(x14601,f2(x14601),x14602)+P2(x14601,f2(x14601),f10(x14601,x14602,x14603))
% 14.81/14.71 [1461]~P69(x14611)+~P2(x14611,f2(x14611),x14613)+~P2(x14611,f2(x14611),x14612)+P2(x14611,f2(x14611),f10(x14611,x14612,x14613))
% 14.81/14.71 [1462]~P70(x14621)+~P2(x14621,f2(x14621),x14623)+~P2(x14621,f2(x14621),x14622)+P2(x14621,f2(x14621),f10(x14621,x14622,x14623))
% 14.81/14.71 [1463]~P34(x14631)+~P3(x14631,x14633,f2(x14631))+~P3(x14631,x14632,f2(x14631))+P3(x14631,f9(x14631,x14632,x14633),f2(x14631))
% 14.81/14.71 [1464]~P34(x14641)+~P3(x14641,x14643,f2(x14641))+~P2(x14641,x14642,f2(x14641))+P3(x14641,f9(x14641,x14642,x14643),f2(x14641))
% 14.81/14.71 [1465]~P34(x14651)+~P3(x14651,x14652,f2(x14651))+~P2(x14651,x14653,f2(x14651))+P3(x14651,f9(x14651,x14652,x14653),f2(x14651))
% 14.81/14.71 [1466]~P34(x14661)+~P2(x14661,x14663,f2(x14661))+~P2(x14661,x14662,f2(x14661))+P2(x14661,f9(x14661,x14662,x14663),f2(x14661))
% 14.81/14.71 [1467]~P6(x14671)+~P3(x14671,x14673,f2(x14671))+~P3(x14671,f2(x14671),x14672)+P3(x14671,f25(x14671,x14672,x14673),f2(x14671))
% 14.81/14.71 [1468]~P6(x14681)+~P3(x14681,x14682,f2(x14681))+~P3(x14681,f2(x14681),x14683)+P3(x14681,f25(x14681,x14682,x14683),f2(x14681))
% 14.81/14.71 [1469]~P9(x14691)+~P3(x14691,x14693,f2(x14691))+~P3(x14691,f2(x14691),x14692)+P3(x14691,f25(x14691,x14692,x14693),f2(x14691))
% 14.81/14.71 [1470]~P9(x14701)+~P3(x14701,x14702,f2(x14701))+~P3(x14701,f2(x14701),x14703)+P3(x14701,f25(x14701,x14702,x14703),f2(x14701))
% 14.81/14.71 [1472]~P66(x14721)+~P3(x14721,x14723,f2(x14721))+~P3(x14721,f2(x14721),x14722)+P3(x14721,f10(x14721,x14722,x14723),f2(x14721))
% 14.81/14.71 [1473]~P66(x14731)+~P3(x14731,x14732,f2(x14731))+~P3(x14731,f2(x14731),x14733)+P3(x14731,f10(x14731,x14732,x14733),f2(x14731))
% 14.81/14.71 [1474]~P6(x14741)+~P2(x14741,x14743,f2(x14741))+~P2(x14741,f2(x14741),x14742)+P2(x14741,f25(x14741,x14742,x14743),f2(x14741))
% 14.81/14.71 [1475]~P6(x14751)+~P2(x14751,x14752,f2(x14751))+~P2(x14751,f2(x14751),x14753)+P2(x14751,f25(x14751,x14752,x14753),f2(x14751))
% 14.81/14.71 [1476]~P9(x14761)+~P3(x14761,x14763,f2(x14761))+~P2(x14761,f2(x14761),x14762)+P2(x14761,f25(x14761,x14762,x14763),f2(x14761))
% 14.81/14.71 [1477]~P9(x14771)+~P2(x14771,x14772,f2(x14771))+~P3(x14771,f2(x14771),x14773)+P2(x14771,f25(x14771,x14772,x14773),f2(x14771))
% 14.81/14.71 [1479]~P60(x14791)+~P2(x14791,x14793,f2(x14791))+~P2(x14791,f2(x14791),x14792)+P2(x14791,f10(x14791,x14792,x14793),f2(x14791))
% 14.81/14.71 [1480]~P60(x14801)+~P2(x14801,x14802,f2(x14801))+~P2(x14801,f2(x14801),x14803)+P2(x14801,f10(x14801,x14802,x14803),f2(x14801))
% 14.81/14.71 [1482]~P69(x14821)+~P2(x14821,x14823,f2(x14821))+~P2(x14821,f2(x14821),x14822)+P2(x14821,f10(x14821,x14822,x14823),f2(x14821))
% 14.81/14.71 [1484]~P69(x14841)+~P2(x14841,x14842,f2(x14841))+~P2(x14841,f2(x14841),x14843)+P2(x14841,f10(x14841,x14842,x14843),f2(x14841))
% 14.81/14.71 [1492]~P6(x14921)+~P3(x14921,f25(x14921,x14923,x14922),f2(x14921))+P3(x14921,x14922,f2(x14921))+P3(x14921,x14923,f2(x14921))
% 14.81/14.71 [1493]~P6(x14931)+~P2(x14931,f25(x14931,x14933,x14932),f2(x14931))+P2(x14931,x14932,f2(x14931))+P2(x14931,x14933,f2(x14931))
% 14.81/14.71 [1494]~P60(x14941)+~P2(x14941,f10(x14941,x14943,x14942),f2(x14941))+P2(x14941,x14942,f2(x14941))+P2(x14941,x14943,f2(x14941))
% 14.81/14.71 [1495]~P6(x14951)+~P3(x14951,f2(x14951),f25(x14951,x14953,x14952))+P3(x14951,x14952,f2(x14951))+P3(x14951,f2(x14951),x14953)
% 14.81/14.71 [1496]~P6(x14961)+~P3(x14961,f2(x14961),f25(x14961,x14962,x14963))+P3(x14961,x14962,f2(x14961))+P3(x14961,f2(x14961),x14963)
% 14.81/14.71 [1497]~P6(x14971)+P3(x14971,f2(x14971),x14972)+~P3(x14971,f2(x14971),f25(x14971,x14973,x14972))+P3(x14971,x14972,f2(x14971))
% 14.81/14.71 [1498]~P6(x14981)+P3(x14981,f2(x14981),x14982)+~P3(x14981,f2(x14981),f25(x14981,x14982,x14983))+P3(x14981,x14982,f2(x14981))
% 14.81/14.71 [1499]~P6(x14991)+~P2(x14991,f2(x14991),f25(x14991,x14993,x14992))+P2(x14991,x14992,f2(x14991))+P2(x14991,f2(x14991),x14993)
% 14.81/14.71 [1500]~P6(x15001)+~P2(x15001,f2(x15001),f25(x15001,x15002,x15003))+P2(x15001,x15002,f2(x15001))+P2(x15001,f2(x15001),x15003)
% 14.81/14.71 [1501]~P60(x15011)+~P2(x15011,f2(x15011),f10(x15011,x15013,x15012))+P2(x15011,x15012,f2(x15011))+P2(x15011,f2(x15011),x15013)
% 14.81/14.71 [1502]~P60(x15021)+~P2(x15021,f2(x15021),f10(x15021,x15022,x15023))+P2(x15021,x15022,f2(x15021))+P2(x15021,f2(x15021),x15023)
% 14.81/14.71 [1503]~P6(x15031)+P2(x15031,f2(x15031),x15032)+~P2(x15031,f2(x15031),f25(x15031,x15033,x15032))+P2(x15031,x15032,f2(x15031))
% 14.81/14.71 [1504]~P6(x15041)+P2(x15041,f2(x15041),x15042)+~P2(x15041,f2(x15041),f25(x15041,x15042,x15043))+P2(x15041,x15042,f2(x15041))
% 14.81/14.71 [1505]~P60(x15051)+P2(x15051,f2(x15051),x15052)+~P2(x15051,f2(x15051),f10(x15051,x15053,x15052))+P2(x15051,x15052,f2(x15051))
% 14.81/14.71 [1506]~P60(x15061)+P2(x15061,f2(x15061),x15062)+~P2(x15061,f2(x15061),f10(x15061,x15062,x15063))+P2(x15061,x15062,f2(x15061))
% 14.81/14.71 [1507]~P6(x15071)+P3(x15071,f2(x15071),x15072)+~P3(x15071,f25(x15071,x15073,x15072),f2(x15071))+P3(x15071,x15072,f2(x15071))
% 14.81/14.71 [1508]~P6(x15081)+P3(x15081,f2(x15081),x15082)+~P3(x15081,f25(x15081,x15082,x15083),f2(x15081))+P3(x15081,x15082,f2(x15081))
% 14.81/14.71 [1509]~P6(x15091)+P2(x15091,f2(x15091),x15092)+~P2(x15091,f25(x15091,x15093,x15092),f2(x15091))+P2(x15091,x15092,f2(x15091))
% 14.81/14.71 [1510]~P6(x15101)+P2(x15101,f2(x15101),x15102)+~P2(x15101,f25(x15101,x15102,x15103),f2(x15101))+P2(x15101,x15102,f2(x15101))
% 14.81/14.71 [1511]~P60(x15111)+P2(x15111,f2(x15111),x15112)+~P2(x15111,f10(x15111,x15113,x15112),f2(x15111))+P2(x15111,x15112,f2(x15111))
% 14.81/14.71 [1512]~P60(x15121)+P2(x15121,f2(x15121),x15122)+~P2(x15121,f10(x15121,x15122,x15123),f2(x15121))+P2(x15121,x15122,f2(x15121))
% 14.81/14.71 [1513]~P6(x15131)+~P3(x15131,f25(x15131,x15132,x15133),f2(x15131))+P3(x15131,f2(x15131),x15132)+P3(x15131,f2(x15131),x15133)
% 14.81/14.71 [1514]~P6(x15141)+~P2(x15141,f25(x15141,x15142,x15143),f2(x15141))+P2(x15141,f2(x15141),x15142)+P2(x15141,f2(x15141),x15143)
% 14.81/14.71 [1515]~P60(x15151)+~P2(x15151,f10(x15151,x15152,x15153),f2(x15151))+P2(x15151,f2(x15151),x15152)+P2(x15151,f2(x15151),x15153)
% 14.81/14.71 [1536]~P66(x15361)+~P3(x15361,f2(x15361),f10(x15361,x15363,x15362))+P3(x15361,f2(x15361),x15362)+~P3(x15361,f2(x15361),x15363)
% 14.81/14.71 [1537]~P66(x15371)+~P3(x15371,f2(x15371),f10(x15371,x15372,x15373))+P3(x15371,f2(x15371),x15372)+~P3(x15371,f2(x15371),x15373)
% 14.81/14.71 [1706]~P2(a69,x17063,x17061)+P3(a69,x17061,x17062)+~P2(a69,x17063,x17062)+~P3(a69,f7(a69,x17061,x17063),f7(a69,x17062,x17063))
% 14.81/14.71 [1707]~P2(a69,x17073,x17071)+P2(a69,x17071,x17072)+~P2(a69,x17073,x17072)+~P2(a69,f7(a69,x17071,x17073),f7(a69,x17072,x17073))
% 14.81/14.71 [1044]~P56(x10442)+~E(f19(x10442,x10443,x10441),f2(a69))+~E(f45(f18(x10442,x10441),x10443),f2(x10442))+E(x10441,f2(f70(x10442)))
% 14.81/14.71 [1296]~P60(x12961)+~E(x12963,f2(x12961))+~E(x12962,f2(x12961))+E(f9(x12961,f10(x12961,x12962,x12962),f10(x12961,x12963,x12963)),f2(x12961))
% 14.81/14.71 [1518]~P3(a68,x15181,x15183)+P3(a68,x15181,a76)+~P2(a68,f21(a12,x15182),a72)+~E(f21(a12,f45(f18(a12,a73),x15182)),f8(a68,x15183))
% 14.81/14.71 [1519]~P3(a68,x15191,x15193)+P3(a68,x15191,a29)+~P2(a68,f21(a12,x15192),a72)+~E(f21(a12,f45(f18(a12,a73),x15192)),f8(a68,x15193))
% 14.81/14.71 [1702]~P59(x17021)+~P2(x17021,x17022,f3(x17021))+~P2(x17021,f2(x17021),x17022)+P2(x17021,f20(x17021,x17022,f9(a69,x17023,f3(a69))),x17022)
% 14.81/14.71 [1703]~P59(x17031)+~P3(x17031,x17032,f3(x17031))+~P3(x17031,f2(x17031),x17032)+P3(x17031,f20(x17031,x17032,f9(a69,x17033,f3(a69))),f3(x17031))
% 14.81/14.71 [1776]~P56(x17763)+E(x17761,x17762)+E(x17761,f8(x17763,x17762))+~E(f20(x17763,x17761,f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69))),f20(x17763,x17762,f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69))))
% 14.81/14.71 [1837]~P59(x18371)+P2(x18371,x18372,x18373)+~P2(x18371,f2(x18371),x18373)+~P2(x18371,f20(x18371,x18372,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18371,x18373,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1830]~P35(x18301)+~E(x18303,f2(x18301))+~E(x18302,f2(x18301))+E(f9(x18301,f20(x18301,x18302,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18301,x18303,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(x18301))
% 14.81/14.71 [1841]~P35(x18411)+~E(x18413,f2(x18411))+~E(x18412,f2(x18411))+P2(x18411,f9(x18411,f20(x18411,x18412,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18411,x18413,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))),f2(x18411))
% 14.81/14.71 [1847]~P35(x18472)+~E(x18471,f2(x18472))+~E(x18473,f2(x18472))+~P3(x18472,f2(x18472),f9(x18472,f20(x18472,x18473,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18472,x18471,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))))))
% 14.81/14.71 [1197]~P42(x11971)+~P3(x11971,x11974,x11973)+P3(x11971,x11972,x11973)+~P3(x11971,x11972,x11974)
% 14.81/14.71 [1198]~P42(x11981)+~P2(x11981,x11984,x11983)+P3(x11981,x11982,x11983)+~P3(x11981,x11982,x11984)
% 14.81/14.71 [1199]~P42(x11991)+~P2(x11991,x11992,x11994)+P3(x11991,x11992,x11993)+~P3(x11991,x11994,x11993)
% 14.81/14.71 [1200]~P41(x12001)+~P3(x12001,x12002,x12004)+P3(x12001,x12002,x12003)+~P3(x12001,x12004,x12003)
% 14.81/14.71 [1201]~P41(x12011)+~P2(x12011,x12012,x12014)+P3(x12011,x12012,x12013)+~P3(x12011,x12014,x12013)
% 14.81/14.71 [1202]~P41(x12021)+~P2(x12021,x12024,x12023)+P3(x12021,x12022,x12023)+~P3(x12021,x12022,x12024)
% 14.81/14.71 [1203]~P42(x12031)+~P2(x12031,x12034,x12033)+P2(x12031,x12032,x12033)+~P2(x12031,x12032,x12034)
% 14.81/14.71 [1204]~P41(x12041)+~P2(x12041,x12042,x12044)+P2(x12041,x12042,x12043)+~P2(x12041,x12044,x12043)
% 14.81/14.71 [790]~P8(x7902)+~E(x7904,f2(x7902))+~E(x7901,f2(x7902))+E(x7901,f25(x7902,x7903,x7904))
% 14.81/14.71 [791]~P8(x7911)+~E(x7913,f2(x7911))+~E(x7914,f2(x7911))+E(f25(x7911,x7912,x7913),x7914)
% 14.81/14.71 [866]~P8(x8662)+E(x8661,f2(x8662))+~E(x8661,f25(x8662,x8664,x8663))+~E(x8663,f2(x8662))
% 14.81/14.71 [867]~P8(x8672)+E(x8671,f2(x8672))+~E(f25(x8672,x8674,x8673),x8671)+~E(x8673,f2(x8672))
% 14.81/14.71 [997]~P49(x9972)+~E(f25(x9972,x9973,x9971),x9974)+E(x9971,f2(x9972))+E(x9973,f10(x9972,x9974,x9971))
% 14.81/14.71 [998]~P49(x9982)+~E(f10(x9982,x9983,x9981),x9984)+E(x9981,f2(x9982))+E(x9983,f25(x9982,x9984,x9981))
% 14.81/14.71 [999]~P8(x9992)+~E(f10(x9992,x9993,x9991),x9994)+E(x9991,f2(x9992))+E(x9993,f25(x9992,x9994,x9991))
% 14.81/14.71 [1000]~P8(x10002)+~E(f25(x10002,x10003,x10001),x10004)+E(x10001,f2(x10002))+E(x10003,f10(x10002,x10004,x10001))
% 14.81/14.71 [1002]~P49(x10022)+~E(x10023,f25(x10022,x10024,x10021))+E(x10021,f2(x10022))+E(f10(x10022,x10023,x10021),x10024)
% 14.81/14.71 [1003]~P49(x10032)+~E(x10033,f10(x10032,x10034,x10031))+E(x10031,f2(x10032))+E(f25(x10032,x10033,x10031),x10034)
% 14.81/14.71 [1004]~P8(x10042)+~E(x10043,f10(x10042,x10044,x10041))+E(x10041,f2(x10042))+E(f25(x10042,x10043,x10041),x10044)
% 14.81/14.71 [1005]~P8(x10052)+~E(x10053,f25(x10052,x10054,x10051))+E(x10051,f2(x10052))+E(f10(x10052,x10053,x10051),x10054)
% 14.81/14.71 [1008]~P8(x10082)+~E(x10081,f2(x10082))+~E(f10(x10082,x10081,x10084),x10083)+E(x10081,f25(x10082,x10083,x10084))
% 14.81/14.71 [1009]~P8(x10091)+~E(x10094,f2(x10091))+~E(x10092,f10(x10091,x10094,x10093))+E(f25(x10091,x10092,x10093),x10094)
% 14.81/14.71 [1171]~P42(x11711)+~P5(x11711,x11712)+~P2(a69,x11714,x11713)+P2(x11711,f45(x11712,x11713),f45(x11712,x11714))
% 14.81/14.71 [1285]~P59(x12853)+E(x12851,x12852)+~P3(x12853,f3(x12853),x12854)+~E(f20(x12853,x12854,x12851),f20(x12853,x12854,x12852))
% 14.81/14.71 [1295]~P43(x12952)+P2(f71(x12951,x12952),x12954,x12953)+~P2(f71(x12951,x12952),x12953,x12954)+P3(f71(x12951,x12952),x12953,x12954)
% 14.81/14.71 [1419]~P59(x14191)+~P3(x14191,x14192,x14194)+~P3(x14191,f2(x14191),x14193)+P3(x14191,x14192,f9(x14191,x14193,x14194))
% 14.81/14.71 [1420]~P34(x14201)+~P3(x14201,x14202,x14204)+~P2(x14201,f2(x14201),x14203)+P3(x14201,x14202,f9(x14201,x14203,x14204))
% 14.81/14.71 [1421]~P34(x14211)+~P2(x14211,x14212,x14214)+~P3(x14211,f2(x14211),x14213)+P3(x14211,x14212,f9(x14211,x14213,x14214))
% 14.81/14.71 [1422]~P34(x14221)+~P2(x14221,x14222,x14223)+~P2(x14221,f2(x14221),x14224)+P2(x14221,x14222,f9(x14221,x14223,x14224))
% 14.81/14.71 [1423]~P34(x14231)+~P2(x14231,x14232,x14234)+~P2(x14231,f2(x14231),x14233)+P2(x14231,x14232,f9(x14231,x14233,x14234))
% 14.81/14.71 [1573]~P59(x15731)+~P3(a69,x15733,x15734)+~P3(x15731,f3(x15731),x15732)+P3(x15731,f20(x15731,x15732,x15733),f20(x15731,x15732,x15734))
% 14.81/14.71 [1574]~P59(x15741)+~P2(a69,x15743,x15744)+~P3(x15741,f3(x15741),x15742)+P2(x15741,f20(x15741,x15742,x15743),f20(x15741,x15742,x15744))
% 14.81/14.71 [1575]~P59(x15751)+~P2(a69,x15753,x15754)+~P2(x15751,f3(x15751),x15752)+P2(x15751,f20(x15751,x15752,x15753),f20(x15751,x15752,x15754))
% 14.81/14.71 [1583]~P9(x15831)+~P3(x15831,x15834,x15832)+~P3(x15831,x15833,f2(x15831))+P3(x15831,f25(x15831,x15832,x15833),f25(x15831,x15834,x15833))
% 14.81/14.71 [1587]~P60(x15871)+~P3(x15871,x15874,x15872)+~P3(x15871,x15873,f2(x15871))+P3(x15871,f10(x15871,x15872,x15873),f10(x15871,x15874,x15873))
% 14.81/14.71 [1588]~P60(x15881)+~P3(x15881,x15884,x15883)+~P3(x15881,x15882,f2(x15881))+P3(x15881,f10(x15881,x15882,x15883),f10(x15881,x15882,x15884))
% 14.81/14.71 [1589]~P6(x15891)+~P2(x15891,x15894,x15892)+~P2(x15891,x15893,f2(x15891))+P2(x15891,f25(x15891,x15892,x15893),f25(x15891,x15894,x15893))
% 14.81/14.71 [1590]~P70(x15901)+~P2(x15901,x15904,x15903)+~P2(x15901,x15902,f2(x15901))+P2(x15901,f10(x15901,x15902,x15903),f10(x15901,x15902,x15904))
% 14.81/14.71 [1591]~P70(x15911)+~P2(x15911,x15914,x15912)+~P2(x15911,x15913,f2(x15911))+P2(x15911,f10(x15911,x15912,x15913),f10(x15911,x15914,x15913))
% 14.81/14.71 [1592]~P9(x15921)+~P3(x15921,x15922,x15924)+~P3(x15921,f2(x15921),x15923)+P3(x15921,f25(x15921,x15922,x15923),f25(x15921,x15924,x15923))
% 14.81/14.71 [1594]~P66(x15941)+~P3(x15941,x15943,x15944)+~P3(x15941,f2(x15941),x15942)+P3(x15941,f10(x15941,x15942,x15943),f10(x15941,x15942,x15944))
% 14.81/14.71 [1595]~P57(x15951)+~P3(x15951,x15953,x15954)+~P3(x15951,f2(x15951),x15952)+P3(x15951,f10(x15951,x15952,x15953),f10(x15951,x15952,x15954))
% 14.81/14.71 [1596]~P60(x15961)+~P3(x15961,x15962,x15964)+~P3(x15961,f2(x15961),x15963)+P3(x15961,f10(x15961,x15962,x15963),f10(x15961,x15964,x15963))
% 14.81/14.71 [1597]~P66(x15971)+~P3(x15971,x15972,x15974)+~P3(x15971,f2(x15971),x15973)+P3(x15971,f10(x15971,x15972,x15973),f10(x15971,x15974,x15973))
% 14.81/14.71 [1598]~P60(x15981)+~P3(x15981,x15983,x15984)+~P3(x15981,f2(x15981),x15982)+P3(x15981,f10(x15981,x15982,x15983),f10(x15981,x15982,x15984))
% 14.81/14.71 [1599]~P6(x15991)+~P2(x15991,x15992,x15994)+~P2(x15991,f2(x15991),x15993)+P2(x15991,f25(x15991,x15992,x15993),f25(x15991,x15994,x15993))
% 14.81/14.71 [1600]~P59(x16001)+~P2(x16001,x16002,x16004)+~P2(x16001,f2(x16001),x16002)+P2(x16001,f20(x16001,x16002,x16003),f20(x16001,x16004,x16003))
% 14.81/14.71 [1601]~P72(x16011)+~P2(x16011,x16013,x16014)+~P2(x16011,f2(x16011),x16012)+P2(x16011,f10(x16011,x16012,x16013),f10(x16011,x16012,x16014))
% 14.81/14.71 [1602]~P71(x16021)+~P2(x16021,x16023,x16024)+~P2(x16021,f2(x16021),x16022)+P2(x16021,f10(x16021,x16022,x16023),f10(x16021,x16022,x16024))
% 14.81/14.71 [1603]~P72(x16031)+~P2(x16031,x16032,x16034)+~P2(x16031,f2(x16031),x16033)+P2(x16031,f10(x16031,x16032,x16033),f10(x16031,x16034,x16033))
% 14.81/14.71 [1660]P3(x16601,x16603,x16602)+~P60(x16601)+P3(x16601,x16602,x16603)+~P3(x16601,f10(x16601,x16604,x16602),f10(x16601,x16604,x16603))
% 14.81/14.71 [1661]P3(x16611,x16613,x16612)+~P60(x16611)+P3(x16611,x16612,x16613)+~P3(x16611,f10(x16611,x16612,x16614),f10(x16611,x16613,x16614))
% 14.81/14.71 [1668]~P60(x16681)+P3(x16681,x16682,x16683)+~P3(x16681,f10(x16681,x16682,x16684),f10(x16681,x16683,x16684))+P3(x16681,x16684,f2(x16681))
% 14.81/14.71 [1669]~P60(x16691)+P3(x16691,x16692,x16693)+~P3(x16691,f10(x16691,x16694,x16692),f10(x16691,x16694,x16693))+P3(x16691,x16694,f2(x16691))
% 14.81/14.71 [1670]~P60(x16701)+P3(x16701,x16702,x16703)+~P3(x16701,f10(x16701,x16704,x16703),f10(x16701,x16704,x16702))+P3(x16701,f2(x16701),x16704)
% 14.81/14.71 [1671]~P60(x16711)+P3(x16711,x16712,x16713)+~P3(x16711,f10(x16711,x16713,x16714),f10(x16711,x16712,x16714))+P3(x16711,f2(x16711),x16714)
% 14.81/14.71 [1674]~P60(x16741)+P3(x16741,f2(x16741),x16742)+~P3(x16741,f10(x16741,x16743,x16742),f10(x16741,x16744,x16742))+P3(x16741,x16742,f2(x16741))
% 14.81/14.71 [1675]~P60(x16751)+P3(x16751,f2(x16751),x16752)+~P3(x16751,f10(x16751,x16752,x16753),f10(x16751,x16752,x16754))+P3(x16751,x16752,f2(x16751))
% 14.81/14.71 [1696]~P59(x16963)+~P3(x16963,f20(x16963,x16964,x16961),f20(x16963,x16964,x16962))+P3(a69,x16961,x16962)+~P3(x16963,f3(x16963),x16964)
% 14.81/14.71 [1698]~P59(x16983)+~P2(x16983,f20(x16983,x16984,x16981),f20(x16983,x16984,x16982))+P2(a69,x16981,x16982)+~P3(x16983,f3(x16983),x16984)
% 14.81/14.71 [1699]~P60(x16991)+P3(x16991,x16992,x16993)+~P3(x16991,f10(x16991,x16994,x16993),f10(x16991,x16994,x16992))+~P3(x16991,x16994,f2(x16991))
% 14.81/14.71 [1700]~P60(x17001)+P3(x17001,x17002,x17003)+~P3(x17001,f10(x17001,x17004,x17002),f10(x17001,x17004,x17003))+~P3(x17001,f2(x17001),x17004)
% 14.81/14.71 [1701]~P59(x17011)+P3(x17011,x17012,x17013)+~P2(x17011,f2(x17011),x17013)+~P3(x17011,f20(x17011,x17012,x17014),f20(x17011,x17013,x17014))
% 14.81/14.71 [1655]~P7(x16552)+~P2(a69,x16554,x16553)+E(x16551,f2(x16552))+E(f25(x16552,f20(x16552,x16551,x16553),f20(x16552,x16551,x16554)),f20(x16552,x16551,f7(a69,x16553,x16554)))
% 14.81/14.71 [1757]~P35(x17571)+~P3(x17571,x17572,f9(x17571,x17573,x17574))+~P3(x17571,f7(x17571,x17573,x17574),x17572)+P3(x17571,f4(x17571,f7(x17571,x17572,x17573)),x17574)
% 14.81/14.71 [1777]~P59(x17771)+P2(x17771,x17772,x17773)+~P2(x17771,f2(x17771),x17773)+~P2(x17771,f20(x17771,x17772,f9(a69,x17774,f3(a69))),f20(x17771,x17773,f9(a69,x17774,f3(a69))))
% 14.81/14.71 [1784]~P48(x17841)+~P3(a68,f2(a68),x17844)+~P2(a68,f21(x17841,f45(x17842,f41(x17842,x17841,x17844))),x17844)+P3(a68,f21(x17841,f45(x17842,x17843)),f16(a69,f9(a69,f40(x17842,x17841),f3(a69))))
% 14.81/14.71 [1785]~P48(x17851)+~P3(a68,f2(a68),x17854)+~P2(a68,f21(x17851,f45(x17852,f44(x17852,x17851,x17854))),x17854)+P2(a68,f21(x17851,f45(x17852,x17853)),f16(a69,f9(a69,f43(x17852,x17851),f3(a69))))
% 14.81/14.71 [1789]~P3(a68,f2(a68),x17894)+~P3(a68,f21(a12,f7(a12,x17892,x17893)),f62(x17891,x17893,x17894))+~P3(a68,f2(a68),f21(a12,f7(a12,x17892,x17893)))+P3(a68,f21(a12,f7(a12,f45(f18(a12,x17891),x17892),f45(f18(a12,x17891),x17893))),x17894)
% 14.81/14.71 [1088]~P14(x10885)+E(x10881,x10882)+~E(x10883,x10884)+~E(f7(x10885,x10883,x10884),f7(x10885,x10881,x10882))
% 14.81/14.71 [1348]~P24(x13481)+~P3(x13481,x13484,x13485)+P3(x13481,x13482,x13483)+~E(f7(x13481,x13484,x13485),f7(x13481,x13482,x13483))
% 14.81/14.71 [1350]~P24(x13501)+~P2(x13501,x13504,x13505)+P2(x13501,x13502,x13503)+~E(f7(x13501,x13504,x13505),f7(x13501,x13502,x13503))
% 14.81/14.71 [1565]~P33(x15651)+~P3(x15651,x15653,x15655)+~P3(x15651,x15652,x15654)+P3(x15651,f9(x15651,x15652,x15653),f9(x15651,x15654,x15655))
% 14.81/14.71 [1566]~P33(x15661)+~P3(x15661,x15663,x15665)+~P2(x15661,x15662,x15664)+P3(x15661,f9(x15661,x15662,x15663),f9(x15661,x15664,x15665))
% 14.81/14.71 [1567]~P33(x15671)+~P3(x15671,x15672,x15674)+~P2(x15671,x15673,x15675)+P3(x15671,f9(x15671,x15672,x15673),f9(x15671,x15674,x15675))
% 14.81/14.71 [1568]~P32(x15681)+~P2(x15681,x15683,x15685)+~P2(x15681,x15682,x15684)+P2(x15681,f9(x15681,x15682,x15683),f9(x15681,x15684,x15685))
% 14.81/14.71 [1710]~P35(x17101)+~P3(x17101,f4(x17101,x17102),x17104)+~P3(x17101,f4(x17101,x17103),x17105)+P3(x17101,f10(x17101,f4(x17101,x17102),f4(x17101,x17103)),f10(x17101,x17104,x17105))
% 14.81/14.71 [1722]~P48(x17221)+~P3(a68,f21(x17221,x17223),x17225)+~P3(a68,f21(x17221,x17222),x17224)+P3(a68,f21(x17221,f9(x17221,x17222,x17223)),f9(a68,x17224,x17225))
% 14.81/14.71 [1723]~P45(x17231)+~P3(a68,f21(x17231,x17233),x17235)+~P3(a68,f21(x17231,x17232),x17234)+P3(a68,f21(x17231,f10(x17231,x17232,x17233)),f10(a68,x17234,x17235))
% 14.81/14.71 [1301]~P34(x13012)+~P2(x13012,f2(x13012),x13013)+~P2(x13012,f2(x13012),x13011)+~E(f9(x13012,x13013,x13011),f2(x13012))+E(x13011,f2(x13012))
% 14.81/14.71 [1302]~P34(x13022)+~P2(x13022,f2(x13022),x13023)+~P2(x13022,f2(x13022),x13021)+~E(f9(x13022,x13021,x13023),f2(x13022))+E(x13021,f2(x13022))
% 14.81/14.71 [1826]~P59(x18263)+E(x18261,x18262)+~P2(x18263,f2(x18263),x18262)+~P2(x18263,f2(x18263),x18261)+~E(f20(x18263,x18261,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(x18263,x18262,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))
% 14.81/14.71 [1672]~P59(x16721)+~P3(x16721,x16722,x16724)+~P2(x16721,f2(x16721),x16722)+P3(x16721,f20(x16721,x16722,x16723),f20(x16721,x16724,x16723))+~P3(a69,f2(a69),x16723)
% 14.81/14.71 [1676]~P59(x16761)+~P3(a69,x16764,x16763)+~P3(x16761,x16762,f3(x16761))+~P3(x16761,f2(x16761),x16762)+P3(x16761,f20(x16761,x16762,x16763),f20(x16761,x16762,x16764))
% 14.81/14.71 [1677]~P59(x16771)+~P2(a69,x16774,x16773)+~P2(x16771,x16772,f3(x16771))+~P2(x16771,f2(x16771),x16772)+P2(x16771,f20(x16771,x16772,x16773),f20(x16771,x16772,x16774))
% 14.81/14.71 [1736]~P59(x17363)+E(x17361,x17362)+~P2(x17363,f2(x17363),x17362)+~P2(x17363,f2(x17363),x17361)+~E(f20(x17363,x17361,f9(a69,x17364,f3(a69))),f20(x17363,x17362,f9(a69,x17364,f3(a69))))
% 14.81/14.71 [1306]~P7(x13062)+~E(f10(x13062,x13064,x13063),f10(x13062,x13065,x13061))+E(f25(x13062,x13064,x13061),f25(x13062,x13065,x13063))+E(x13061,f2(x13062))+E(x13063,f2(x13062))
% 14.81/14.71 [1307]~P7(x13072)+~E(f25(x13072,x13074,x13073),f25(x13072,x13075,x13071))+E(f10(x13072,x13074,x13071),f10(x13072,x13075,x13073))+E(x13071,f2(x13072))+E(x13073,f2(x13072))
% 14.81/14.71 [909]~P58(x9092)+~P44(x9092)+~P65(x9092)+~P67(x9092)+~E(f20(x9092,x9091,x9093),f2(x9092))+E(x9091,f2(x9092))
% 14.81/14.71 [911]~P58(x9112)+~P44(x9112)+~P65(x9112)+~P67(x9112)+~E(f20(x9112,x9113,x9111),f2(x9112))+~E(x9111,f2(a69))
% 14.81/14.71 [1283]~P34(x12831)+~P2(x12831,f2(x12831),x12833)+~P2(x12831,f2(x12831),x12832)+~E(x12833,f2(x12831))+~E(x12832,f2(x12831))+E(f9(x12831,x12832,x12833),f2(x12831))
% 14.81/14.71 [1848]~P3(a68,f2(a68),x18483)+~P2(a68,f2(a68),x18482)+~P2(a68,f2(a68),x18481)+~P3(a68,x18481,f25(a68,x18483,f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))+~P3(a68,x18482,f25(a68,x18483,f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))+P3(a68,f13(f9(a68,f20(a68,x18481,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x18482,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x18483)
% 14.81/14.71 [1604]~P59(x16043)+E(x16041,x16042)+~P2(x16043,f2(x16043),x16042)+~P2(x16043,f2(x16043),x16041)+~E(f20(x16043,x16041,x16044),f20(x16043,x16042,x16044))+~P3(a69,f2(a69),x16044)
% 14.81/14.71 [1711]~P9(x17111)+~P3(x17111,x17115,x17113)+~P2(x17111,x17112,x17114)+~P3(x17111,f2(x17111),x17115)+~P3(x17111,f2(x17111),x17112)+P3(x17111,f25(x17111,x17112,x17113),f25(x17111,x17114,x17115))
% 14.81/14.71 [1712]~P9(x17121)+~P3(x17121,x17122,x17124)+~P2(x17121,x17125,x17123)+~P3(x17121,f2(x17121),x17125)+~P2(x17121,f2(x17121),x17122)+P3(x17121,f25(x17121,x17122,x17123),f25(x17121,x17124,x17125))
% 14.81/14.71 [1713]~P9(x17131)+~P2(x17131,x17135,x17133)+~P2(x17131,x17132,x17134)+~P3(x17131,f2(x17131),x17135)+~P2(x17131,f2(x17131),x17132)+P2(x17131,f25(x17131,x17132,x17133),f25(x17131,x17134,x17135))
% 14.81/14.71 [1714]~P72(x17141)+~P2(x17141,x17143,x17145)+~P2(x17141,x17142,x17144)+~P2(x17141,f2(x17141),x17143)+~P2(x17141,f2(x17141),x17144)+P2(x17141,f10(x17141,x17142,x17143),f10(x17141,x17144,x17145))
% 14.81/14.71 [1715]~P72(x17151)+~P2(x17151,x17153,x17155)+~P2(x17151,x17152,x17154)+~P2(x17151,f2(x17151),x17153)+~P2(x17151,f2(x17151),x17152)+P2(x17151,f10(x17151,x17152,x17153),f10(x17151,x17154,x17155))
% 14.81/14.71 [850]~P58(x8502)+~P44(x8502)+~P65(x8502)+~P67(x8502)+~E(x8503,f2(x8502))+E(f20(x8502,x8503,x8501),f2(x8502))+E(x8501,f2(a69))
% 14.81/14.71 %EqnAxiom
% 14.81/14.71 [1]E(x11,x11)
% 14.81/14.71 [2]E(x22,x21)+~E(x21,x22)
% 14.81/14.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 14.81/14.71 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 14.81/14.71 [5]~E(x51,x52)+E(f25(x51,x53,x54),f25(x52,x53,x54))
% 14.81/14.71 [6]~E(x61,x62)+E(f25(x63,x61,x64),f25(x63,x62,x64))
% 14.81/14.71 [7]~E(x71,x72)+E(f25(x73,x74,x71),f25(x73,x74,x72))
% 14.81/14.71 [8]~E(x81,x82)+E(f13(x81),f13(x82))
% 14.81/14.71 [9]~E(x91,x92)+E(f9(x91,x93,x94),f9(x92,x93,x94))
% 14.81/14.71 [10]~E(x101,x102)+E(f9(x103,x101,x104),f9(x103,x102,x104))
% 14.81/14.71 [11]~E(x111,x112)+E(f9(x113,x114,x111),f9(x113,x114,x112))
% 14.81/14.71 [12]~E(x121,x122)+E(f3(x121),f3(x122))
% 14.81/14.71 [13]~E(x131,x132)+E(f14(x131,x133),f14(x132,x133))
% 14.81/14.71 [14]~E(x141,x142)+E(f14(x143,x141),f14(x143,x142))
% 14.81/14.71 [15]~E(x151,x152)+E(f8(x151,x153),f8(x152,x153))
% 14.81/14.71 [16]~E(x161,x162)+E(f8(x163,x161),f8(x163,x162))
% 14.81/14.71 [17]~E(x171,x172)+E(f10(x171,x173,x174),f10(x172,x173,x174))
% 14.81/14.71 [18]~E(x181,x182)+E(f10(x183,x181,x184),f10(x183,x182,x184))
% 14.81/14.71 [19]~E(x191,x192)+E(f10(x193,x194,x191),f10(x193,x194,x192))
% 14.81/14.71 [20]~E(x201,x202)+E(f15(x201,x203),f15(x202,x203))
% 14.81/14.71 [21]~E(x211,x212)+E(f15(x213,x211),f15(x213,x212))
% 14.81/14.71 [22]~E(x221,x222)+E(f7(x221,x223,x224),f7(x222,x223,x224))
% 14.81/14.71 [23]~E(x231,x232)+E(f7(x233,x231,x234),f7(x233,x232,x234))
% 14.81/14.71 [24]~E(x241,x242)+E(f7(x243,x244,x241),f7(x243,x244,x242))
% 14.81/14.71 [25]~E(x251,x252)+E(f4(x251,x253),f4(x252,x253))
% 14.81/14.71 [26]~E(x261,x262)+E(f4(x263,x261),f4(x263,x262))
% 14.81/14.71 [27]~E(x271,x272)+E(f20(x271,x273,x274),f20(x272,x273,x274))
% 14.81/14.71 [28]~E(x281,x282)+E(f20(x283,x281,x284),f20(x283,x282,x284))
% 14.81/14.71 [29]~E(x291,x292)+E(f20(x293,x294,x291),f20(x293,x294,x292))
% 14.81/14.71 [30]~E(x301,x302)+E(f21(x301,x303),f21(x302,x303))
% 14.81/14.71 [31]~E(x311,x312)+E(f21(x313,x311),f21(x313,x312))
% 14.81/14.71 [32]~E(x321,x322)+E(f18(x321,x323),f18(x322,x323))
% 14.81/14.71 [33]~E(x331,x332)+E(f18(x333,x331),f18(x333,x332))
% 14.81/14.71 [34]~E(x341,x342)+E(f53(x341),f53(x342))
% 14.81/14.71 [35]~E(x351,x352)+E(f45(x351,x353),f45(x352,x353))
% 14.81/14.71 [36]~E(x361,x362)+E(f45(x363,x361),f45(x363,x362))
% 14.81/14.71 [37]~E(x371,x372)+E(f70(x371),f70(x372))
% 14.81/14.71 [38]~E(x381,x382)+E(f59(x381,x383,x384),f59(x382,x383,x384))
% 14.81/14.71 [39]~E(x391,x392)+E(f59(x393,x391,x394),f59(x393,x392,x394))
% 14.81/14.71 [40]~E(x401,x402)+E(f59(x403,x404,x401),f59(x403,x404,x402))
% 14.81/14.71 [41]~E(x411,x412)+E(f16(x411,x413),f16(x412,x413))
% 14.81/14.71 [42]~E(x421,x422)+E(f16(x423,x421),f16(x423,x422))
% 14.81/14.71 [43]~E(x431,x432)+E(f41(x431,x433,x434),f41(x432,x433,x434))
% 14.81/14.71 [44]~E(x441,x442)+E(f41(x443,x441,x444),f41(x443,x442,x444))
% 14.81/14.71 [45]~E(x451,x452)+E(f41(x453,x454,x451),f41(x453,x454,x452))
% 14.81/14.71 [46]~E(x461,x462)+E(f38(x461,x463),f38(x462,x463))
% 14.81/14.71 [47]~E(x471,x472)+E(f38(x473,x471),f38(x473,x472))
% 14.81/14.71 [48]~E(x481,x482)+E(f17(x481),f17(x482))
% 14.81/14.71 [49]~E(x491,x492)+E(f26(x491,x493),f26(x492,x493))
% 14.81/14.71 [50]~E(x501,x502)+E(f26(x503,x501),f26(x503,x502))
% 14.81/14.71 [51]~E(x511,x512)+E(f64(x511,x513),f64(x512,x513))
% 14.81/14.71 [52]~E(x521,x522)+E(f64(x523,x521),f64(x523,x522))
% 14.81/14.71 [53]~E(x531,x532)+E(f51(x531),f51(x532))
% 14.81/14.71 [54]~E(x541,x542)+E(f31(x541),f31(x542))
% 14.81/14.71 [55]~E(x551,x552)+E(f43(x551,x553),f43(x552,x553))
% 14.81/14.71 [56]~E(x561,x562)+E(f43(x563,x561),f43(x563,x562))
% 14.81/14.71 [57]~E(x571,x572)+E(f61(x571,x573),f61(x572,x573))
% 14.81/14.71 [58]~E(x581,x582)+E(f61(x583,x581),f61(x583,x582))
% 14.81/14.71 [59]~E(x591,x592)+E(f19(x591,x593,x594),f19(x592,x593,x594))
% 14.81/14.71 [60]~E(x601,x602)+E(f19(x603,x601,x604),f19(x603,x602,x604))
% 14.81/14.71 [61]~E(x611,x612)+E(f19(x613,x614,x611),f19(x613,x614,x612))
% 14.81/14.71 [62]~E(x621,x622)+E(f42(x621,x623,x624),f42(x622,x623,x624))
% 14.81/14.71 [63]~E(x631,x632)+E(f42(x633,x631,x634),f42(x633,x632,x634))
% 14.81/14.71 [64]~E(x641,x642)+E(f42(x643,x644,x641),f42(x643,x644,x642))
% 14.81/14.71 [65]~E(x651,x652)+E(f58(x651),f58(x652))
% 14.81/14.71 [66]~E(x661,x662)+E(f27(x661),f27(x662))
% 14.81/14.71 [67]~E(x671,x672)+E(f71(x671,x673),f71(x672,x673))
% 14.81/14.71 [68]~E(x681,x682)+E(f71(x683,x681),f71(x683,x682))
% 14.81/14.71 [69]~E(x691,x692)+E(f74(x691),f74(x692))
% 14.81/14.71 [70]~E(x701,x702)+E(f36(x701),f36(x702))
% 14.81/14.71 [71]~E(x711,x712)+E(f6(x711,x713),f6(x712,x713))
% 14.81/14.71 [72]~E(x721,x722)+E(f6(x723,x721),f6(x723,x722))
% 14.81/14.71 [73]~E(x731,x732)+E(f57(x731),f57(x732))
% 14.81/14.71 [74]~E(x741,x742)+E(f33(x741),f33(x742))
% 14.81/14.71 [75]~E(x751,x752)+E(f40(x751,x753),f40(x752,x753))
% 14.81/14.71 [76]~E(x761,x762)+E(f40(x763,x761),f40(x763,x762))
% 14.81/14.71 [77]~E(x771,x772)+E(f60(x771,x773,x774),f60(x772,x773,x774))
% 14.81/14.71 [78]~E(x781,x782)+E(f60(x783,x781,x784),f60(x783,x782,x784))
% 14.81/14.71 [79]~E(x791,x792)+E(f60(x793,x794,x791),f60(x793,x794,x792))
% 14.81/14.71 [80]~E(x801,x802)+E(f48(x801,x803),f48(x802,x803))
% 14.81/14.71 [81]~E(x811,x812)+E(f48(x813,x811),f48(x813,x812))
% 14.81/14.71 [82]~E(x821,x822)+E(f37(x821,x823),f37(x822,x823))
% 14.81/14.71 [83]~E(x831,x832)+E(f37(x833,x831),f37(x833,x832))
% 14.81/14.71 [84]~E(x841,x842)+E(f50(x841),f50(x842))
% 14.81/14.71 [85]~E(x851,x852)+E(f49(x851,x853),f49(x852,x853))
% 14.81/14.71 [86]~E(x861,x862)+E(f49(x863,x861),f49(x863,x862))
% 14.81/14.71 [87]~E(x871,x872)+E(f39(x871,x873,x874),f39(x872,x873,x874))
% 14.81/14.71 [88]~E(x881,x882)+E(f39(x883,x881,x884),f39(x883,x882,x884))
% 14.81/14.71 [89]~E(x891,x892)+E(f39(x893,x894,x891),f39(x893,x894,x892))
% 14.81/14.71 [90]~E(x901,x902)+E(f5(x901),f5(x902))
% 14.81/14.71 [91]~E(x911,x912)+E(f46(x911),f46(x912))
% 14.81/14.71 [92]~E(x921,x922)+E(f30(x921),f30(x922))
% 14.81/14.71 [93]~E(x931,x932)+E(f28(x931),f28(x932))
% 14.81/14.71 [94]~E(x941,x942)+E(f62(x941,x943,x944),f62(x942,x943,x944))
% 14.81/14.71 [95]~E(x951,x952)+E(f62(x953,x951,x954),f62(x953,x952,x954))
% 14.81/14.71 [96]~E(x961,x962)+E(f62(x963,x964,x961),f62(x963,x964,x962))
% 14.81/14.71 [97]~E(x971,x972)+E(f47(x971),f47(x972))
% 14.81/14.71 [98]~E(x981,x982)+E(f44(x981,x983,x984),f44(x982,x983,x984))
% 14.81/14.71 [99]~E(x991,x992)+E(f44(x993,x991,x994),f44(x993,x992,x994))
% 14.81/14.71 [100]~E(x1001,x1002)+E(f44(x1003,x1004,x1001),f44(x1003,x1004,x1002))
% 14.81/14.71 [101]~E(x1011,x1012)+E(f55(x1011,x1013),f55(x1012,x1013))
% 14.81/14.71 [102]~E(x1021,x1022)+E(f55(x1023,x1021),f55(x1023,x1022))
% 14.81/14.71 [103]~E(x1031,x1032)+E(f65(x1031,x1033,x1034,x1035),f65(x1032,x1033,x1034,x1035))
% 14.81/14.71 [104]~E(x1041,x1042)+E(f65(x1043,x1041,x1044,x1045),f65(x1043,x1042,x1044,x1045))
% 14.81/14.71 [105]~E(x1051,x1052)+E(f65(x1053,x1054,x1051,x1055),f65(x1053,x1054,x1052,x1055))
% 14.81/14.71 [106]~E(x1061,x1062)+E(f65(x1063,x1064,x1065,x1061),f65(x1063,x1064,x1065,x1062))
% 14.81/14.71 [107]~E(x1071,x1072)+E(f63(x1071),f63(x1072))
% 14.81/14.71 [108]~E(x1081,x1082)+E(f56(x1081,x1083),f56(x1082,x1083))
% 14.81/14.71 [109]~E(x1091,x1092)+E(f56(x1093,x1091),f56(x1093,x1092))
% 14.81/14.71 [110]~E(x1101,x1102)+E(f54(x1101,x1103),f54(x1102,x1103))
% 14.81/14.71 [111]~E(x1111,x1112)+E(f54(x1113,x1111),f54(x1113,x1112))
% 14.81/14.71 [112]~P1(x1121)+P1(x1122)+~E(x1121,x1122)
% 14.81/14.71 [113]~P6(x1131)+P6(x1132)+~E(x1131,x1132)
% 14.81/14.71 [114]~P10(x1141)+P10(x1142)+~E(x1141,x1142)
% 14.81/14.71 [115]~P35(x1151)+P35(x1152)+~E(x1151,x1152)
% 14.81/14.71 [116]P3(x1162,x1163,x1164)+~E(x1161,x1162)+~P3(x1161,x1163,x1164)
% 14.81/14.71 [117]P3(x1173,x1172,x1174)+~E(x1171,x1172)+~P3(x1173,x1171,x1174)
% 14.81/14.71 [118]P3(x1183,x1184,x1182)+~E(x1181,x1182)+~P3(x1183,x1184,x1181)
% 14.81/14.71 [119]P2(x1192,x1193,x1194)+~E(x1191,x1192)+~P2(x1191,x1193,x1194)
% 14.81/14.71 [120]P2(x1203,x1202,x1204)+~E(x1201,x1202)+~P2(x1203,x1201,x1204)
% 14.81/14.71 [121]P2(x1213,x1214,x1212)+~E(x1211,x1212)+~P2(x1213,x1214,x1211)
% 14.81/14.71 [122]~P56(x1221)+P56(x1222)+~E(x1221,x1222)
% 14.81/14.71 [123]~P36(x1231)+P36(x1232)+~E(x1231,x1232)
% 14.81/14.71 [124]~P41(x1241)+P41(x1242)+~E(x1241,x1242)
% 14.81/14.71 [125]~P46(x1251)+P46(x1252)+~E(x1251,x1252)
% 14.81/14.71 [126]~P78(x1261)+P78(x1262)+~E(x1261,x1262)
% 14.81/14.71 [127]~P7(x1271)+P7(x1272)+~E(x1271,x1272)
% 14.81/14.71 [128]~P58(x1281)+P58(x1282)+~E(x1281,x1282)
% 14.81/14.71 [129]~P48(x1291)+P48(x1292)+~E(x1291,x1292)
% 14.81/14.71 [130]~P59(x1301)+P59(x1302)+~E(x1301,x1302)
% 14.81/14.71 [131]~P8(x1311)+P8(x1312)+~E(x1311,x1312)
% 14.81/14.71 [132]~P71(x1321)+P71(x1322)+~E(x1321,x1322)
% 14.81/14.71 [133]~P37(x1331)+P37(x1332)+~E(x1331,x1332)
% 14.81/14.71 [134]~P24(x1341)+P24(x1342)+~E(x1341,x1342)
% 14.81/14.71 [135]~P63(x1351)+P63(x1352)+~E(x1351,x1352)
% 14.81/14.71 [136]~P11(x1361)+P11(x1362)+~E(x1361,x1362)
% 14.81/14.71 [137]~P60(x1371)+P60(x1372)+~E(x1371,x1372)
% 14.81/14.71 [138]~P68(x1381)+P68(x1382)+~E(x1381,x1382)
% 14.81/14.71 [139]~P14(x1391)+P14(x1392)+~E(x1391,x1392)
% 14.81/14.71 [140]~P9(x1401)+P9(x1402)+~E(x1401,x1402)
% 14.81/14.71 [141]~P12(x1411)+P12(x1412)+~E(x1411,x1412)
% 14.81/14.71 [142]~P52(x1421)+P52(x1422)+~E(x1421,x1422)
% 14.81/14.71 [143]~P13(x1431)+P13(x1432)+~E(x1431,x1432)
% 14.81/14.71 [144]~P72(x1441)+P72(x1442)+~E(x1441,x1442)
% 14.81/14.71 [145]~P49(x1451)+P49(x1452)+~E(x1451,x1452)
% 14.81/14.71 [146]~P43(x1461)+P43(x1462)+~E(x1461,x1462)
% 14.81/14.71 [147]~P17(x1471)+P17(x1472)+~E(x1471,x1472)
% 14.81/14.71 [148]~P42(x1481)+P42(x1482)+~E(x1481,x1482)
% 14.81/14.71 [149]~P74(x1491)+P74(x1492)+~E(x1491,x1492)
% 14.81/14.71 [150]~P23(x1501)+P23(x1502)+~E(x1501,x1502)
% 14.81/14.71 [151]~P28(x1511)+P28(x1512)+~E(x1511,x1512)
% 14.81/14.71 [152]~P29(x1521)+P29(x1522)+~E(x1521,x1522)
% 14.81/14.71 [153]~P66(x1531)+P66(x1532)+~E(x1531,x1532)
% 14.81/14.71 [154]~P31(x1541)+P31(x1542)+~E(x1541,x1542)
% 14.81/14.71 [155]~P61(x1551)+P61(x1552)+~E(x1551,x1552)
% 14.81/14.71 [156]~P67(x1561)+P67(x1562)+~E(x1561,x1562)
% 14.81/14.71 [157]~P54(x1571)+P54(x1572)+~E(x1571,x1572)
% 14.81/14.71 [158]~P44(x1581)+P44(x1582)+~E(x1581,x1582)
% 14.81/14.71 [159]~P38(x1591)+P38(x1592)+~E(x1591,x1592)
% 14.81/14.71 [160]~P25(x1601)+P25(x1602)+~E(x1601,x1602)
% 14.81/14.71 [161]~P55(x1611)+P55(x1612)+~E(x1611,x1612)
% 14.81/14.71 [162]~P65(x1621)+P65(x1622)+~E(x1621,x1622)
% 14.81/14.71 [163]~P50(x1631)+P50(x1632)+~E(x1631,x1632)
% 14.81/14.71 [164]P4(x1642,x1643)+~E(x1641,x1642)+~P4(x1641,x1643)
% 14.81/14.71 [165]P4(x1653,x1652)+~E(x1651,x1652)+~P4(x1653,x1651)
% 14.81/14.71 [166]~P73(x1661)+P73(x1662)+~E(x1661,x1662)
% 14.81/14.71 [167]~P51(x1671)+P51(x1672)+~E(x1671,x1672)
% 14.81/14.71 [168]~P34(x1681)+P34(x1682)+~E(x1681,x1682)
% 14.81/14.71 [169]~P27(x1691)+P27(x1692)+~E(x1691,x1692)
% 14.81/14.71 [170]~P45(x1701)+P45(x1702)+~E(x1701,x1702)
% 14.81/14.71 [171]~P62(x1711)+P62(x1712)+~E(x1711,x1712)
% 14.81/14.71 [172]~P33(x1721)+P33(x1722)+~E(x1721,x1722)
% 14.81/14.71 [173]~P76(x1731)+P76(x1732)+~E(x1731,x1732)
% 14.81/14.71 [174]~P18(x1741)+P18(x1742)+~E(x1741,x1742)
% 14.81/14.71 [175]~P75(x1751)+P75(x1752)+~E(x1751,x1752)
% 14.81/14.71 [176]~P19(x1761)+P19(x1762)+~E(x1761,x1762)
% 14.81/14.71 [177]~P64(x1771)+P64(x1772)+~E(x1771,x1772)
% 14.81/14.71 [178]~P70(x1781)+P70(x1782)+~E(x1781,x1782)
% 14.81/14.71 [179]~P69(x1791)+P69(x1792)+~E(x1791,x1792)
% 14.81/14.71 [180]~P57(x1801)+P57(x1802)+~E(x1801,x1802)
% 14.81/14.71 [181]~P53(x1811)+P53(x1812)+~E(x1811,x1812)
% 14.81/14.71 [182]~P21(x1821)+P21(x1822)+~E(x1821,x1822)
% 14.81/14.71 [183]~P16(x1831)+P16(x1832)+~E(x1831,x1832)
% 14.81/14.71 [184]~P22(x1841)+P22(x1842)+~E(x1841,x1842)
% 14.81/14.71 [185]~P39(x1851)+P39(x1852)+~E(x1851,x1852)
% 14.81/14.71 [186]~P15(x1861)+P15(x1862)+~E(x1861,x1862)
% 14.81/14.71 [187]~P30(x1871)+P30(x1872)+~E(x1871,x1872)
% 14.81/14.71 [188]~P77(x1881)+P77(x1882)+~E(x1881,x1882)
% 14.81/14.71 [189]P5(x1892,x1893)+~E(x1891,x1892)+~P5(x1891,x1893)
% 14.81/14.71 [190]P5(x1903,x1902)+~E(x1901,x1902)+~P5(x1903,x1901)
% 14.81/14.71 [191]~P32(x1911)+P32(x1912)+~E(x1911,x1912)
% 14.81/14.71 [192]~P47(x1921)+P47(x1922)+~E(x1921,x1922)
% 14.81/14.71 [193]~P20(x1931)+P20(x1932)+~E(x1931,x1932)
% 14.81/14.71 [194]~P40(x1941)+P40(x1942)+~E(x1941,x1942)
% 14.81/14.71 [195]~P26(x1951)+P26(x1952)+~E(x1951,x1952)
% 14.81/14.71
% 14.81/14.71 %-------------------------------------------
% 14.81/14.73 cnf(1850,plain,
% 14.81/14.73 (E(a11,f2(a1))),
% 14.81/14.73 inference(scs_inference,[],[196,2])).
% 14.81/14.73 cnf(1851,plain,
% 14.81/14.73 (~P3(a68,x18511,x18511)),
% 14.81/14.73 inference(scs_inference,[],[257,196,2,831])).
% 14.81/14.73 cnf(1859,plain,
% 14.81/14.73 (~P3(a69,x18591,f14(a69,a11))),
% 14.81/14.73 inference(scs_inference,[],[257,437,196,420,449,547,2,831,815,810,809,824])).
% 14.81/14.73 cnf(1862,plain,
% 14.81/14.73 (~P3(a69,f9(a69,x18621,x18622),x18622)),
% 14.81/14.73 inference(rename_variables,[],[594])).
% 14.81/14.73 cnf(1867,plain,
% 14.81/14.73 (P2(a69,x18671,f9(a69,x18672,x18671))),
% 14.81/14.73 inference(rename_variables,[],[478])).
% 14.81/14.73 cnf(1872,plain,
% 14.81/14.73 (P2(a69,x18721,f9(a69,x18722,x18721))),
% 14.81/14.73 inference(rename_variables,[],[478])).
% 14.81/14.73 cnf(1874,plain,
% 14.81/14.73 (P3(a1,x18741,f9(a1,x18741,f3(a1)))),
% 14.81/14.73 inference(scs_inference,[],[435,257,437,196,420,449,524,547,478,1867,594,501,2,831,815,810,809,824,1029,953,1398,1397,1333,1329])).
% 14.81/14.73 cnf(1875,plain,
% 14.81/14.73 (P2(a1,x18751,x18751)),
% 14.81/14.73 inference(rename_variables,[],[435])).
% 14.81/14.73 cnf(1877,plain,
% 14.81/14.73 (P3(a1,f7(a1,x18771,f3(a1)),x18771)),
% 14.81/14.73 inference(scs_inference,[],[435,1875,257,437,196,420,449,524,547,478,1867,594,501,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326])).
% 14.81/14.73 cnf(1878,plain,
% 14.81/14.73 (P2(a1,x18781,x18781)),
% 14.81/14.73 inference(rename_variables,[],[435])).
% 14.81/14.73 cnf(1883,plain,
% 14.81/14.73 (P2(a69,x18831,f9(a69,x18832,x18831))),
% 14.81/14.73 inference(rename_variables,[],[478])).
% 14.81/14.73 cnf(1886,plain,
% 14.81/14.73 (P2(a69,x18861,f9(a69,x18862,x18861))),
% 14.81/14.73 inference(rename_variables,[],[478])).
% 14.81/14.73 cnf(1889,plain,
% 14.81/14.73 (P3(a69,x18891,f9(a69,f9(a69,x18892,x18891),f3(a69)))),
% 14.81/14.73 inference(rename_variables,[],[522])).
% 14.81/14.73 cnf(1892,plain,
% 14.81/14.73 (~P3(a69,f9(a69,x18921,x18922),x18921)),
% 14.81/14.73 inference(rename_variables,[],[595])).
% 14.81/14.73 cnf(1897,plain,
% 14.81/14.73 (~P2(a69,f9(a69,x18971,f3(a69)),x18971)),
% 14.81/14.73 inference(rename_variables,[],[598])).
% 14.81/14.73 cnf(1900,plain,
% 14.81/14.73 (~P2(a69,f9(a69,x19001,f3(a69)),x19001)),
% 14.81/14.73 inference(rename_variables,[],[598])).
% 14.81/14.73 cnf(1903,plain,
% 14.81/14.73 (~P3(a69,f9(a69,x19031,x19032),x19032)),
% 14.81/14.73 inference(rename_variables,[],[594])).
% 14.81/14.73 cnf(1905,plain,
% 14.81/14.73 (~P3(a69,f9(a69,x19051,f9(a69,x19052,x19053)),x19053)),
% 14.81/14.73 inference(scs_inference,[],[435,1875,257,437,196,420,449,524,547,546,478,1867,1872,1883,594,1862,1903,595,598,1897,522,501,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220])).
% 14.81/14.73 cnf(1906,plain,
% 14.81/14.73 (~P3(a69,f9(a69,x19061,x19062),x19062)),
% 14.81/14.73 inference(rename_variables,[],[594])).
% 14.81/14.73 cnf(1909,plain,
% 14.81/14.73 (~P3(a69,f9(a69,x19091,x19092),x19091)),
% 14.81/14.73 inference(rename_variables,[],[595])).
% 14.81/14.73 cnf(1912,plain,
% 14.81/14.73 (P2(a68,x19121,x19121)),
% 14.81/14.73 inference(rename_variables,[],[434])).
% 14.81/14.73 cnf(1914,plain,
% 14.81/14.73 (~E(f9(a69,x19141,f9(a69,x19142,f3(a69))),x19142)),
% 14.81/14.73 inference(scs_inference,[],[434,435,1875,257,437,196,420,449,524,547,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,598,1897,522,501,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018])).
% 14.81/14.73 cnf(1922,plain,
% 14.81/14.73 (~P3(a68,f9(a68,f4(a68,x19221),f3(a68)),x19221)),
% 14.81/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(1928,plain,
% 14.93/14.73 (~E(f9(a69,x19281,f9(a69,f2(a69),f3(a69))),x19281)),
% 14.93/14.73 inference(scs_inference,[],[434,435,1875,257,437,196,420,449,524,547,539,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,586,522,600,501,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819])).
% 14.93/14.73 cnf(1929,plain,
% 14.93/14.73 (~E(f9(a69,x19291,f3(a69)),x19291)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(1934,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x19341),f3(a68)),x19341)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(1939,plain,
% 14.93/14.73 (~E(f9(a69,x19391,f3(a69)),x19391)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(1949,plain,
% 14.93/14.73 (~E(f9(a1,f3(a1),x19491),x19491)),
% 14.93/14.73 inference(scs_inference,[],[434,435,1875,257,437,581,196,420,449,576,524,547,539,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,586,1929,522,600,1922,501,602,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11])).
% 14.93/14.73 cnf(1950,plain,
% 14.93/14.73 (~E(f9(a1,x19501,x19501),f9(a1,f9(a1,f3(a1),x19502),x19502))),
% 14.93/14.73 inference(rename_variables,[],[602])).
% 14.93/14.73 cnf(1951,plain,
% 14.93/14.73 (~E(x19511,f9(a1,f3(a1),x19511))),
% 14.93/14.73 inference(scs_inference,[],[434,435,1875,257,437,581,196,420,449,576,524,547,539,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,586,1929,522,600,1922,501,602,1950,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10])).
% 14.93/14.73 cnf(1952,plain,
% 14.93/14.73 (~E(f9(a1,x19521,x19521),f9(a1,f9(a1,f3(a1),x19522),x19522))),
% 14.93/14.73 inference(rename_variables,[],[602])).
% 14.93/14.73 cnf(1961,plain,
% 14.93/14.73 (P3(a1,a11,f9(a1,f9(a1,f3(a1),a11),a11))),
% 14.93/14.73 inference(scs_inference,[],[434,435,1875,257,437,581,196,420,449,576,524,547,539,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,586,1929,522,600,1922,501,602,1950,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299])).
% 14.93/14.73 cnf(1964,plain,
% 14.93/14.73 (~E(f9(a69,x19641,f3(a69)),f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[592])).
% 14.93/14.73 cnf(1970,plain,
% 14.93/14.73 (P2(a68,x19701,f13(f9(a68,f20(a68,x19701,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x19702,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))),
% 14.93/14.73 inference(rename_variables,[],[568])).
% 14.93/14.73 cnf(1973,plain,
% 14.93/14.73 (E(f7(a69,f9(a69,x19731,x19732),x19732),x19731)),
% 14.93/14.73 inference(rename_variables,[],[481])).
% 14.93/14.73 cnf(1980,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x19801),f3(a68)),x19801)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(1982,plain,
% 14.93/14.73 (~P2(a69,f3(a69),f2(a69))),
% 14.93/14.73 inference(scs_inference,[],[434,435,1875,257,437,581,196,420,449,576,524,547,539,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,481,586,1929,522,600,1922,1934,501,592,1964,602,1950,555,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233])).
% 14.93/14.73 cnf(1983,plain,
% 14.93/14.73 (~E(f9(a69,x19831,f3(a69)),f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[592])).
% 14.93/14.73 cnf(1989,plain,
% 14.93/14.73 (~E(f9(a69,x19891,f3(a69)),f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[592])).
% 14.93/14.73 cnf(1993,plain,
% 14.93/14.73 (~P3(a69,x19931,f7(a69,f9(a69,x19931,x19932),x19932))),
% 14.93/14.73 inference(scs_inference,[],[434,435,1875,580,257,437,581,196,420,449,576,524,547,539,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,481,586,1929,522,600,1922,1934,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527])).
% 14.93/14.73 cnf(1994,plain,
% 14.93/14.73 (~P3(a69,x19941,x19941)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(1996,plain,
% 14.93/14.73 (~P2(a69,f7(a69,f9(a69,f9(a69,x19961,x19962),f3(a69)),x19962),x19961)),
% 14.93/14.73 inference(scs_inference,[],[434,435,1875,580,257,437,581,196,420,449,576,524,547,539,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,522,600,1922,1934,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526])).
% 14.93/14.73 cnf(1997,plain,
% 14.93/14.73 (~P2(a69,f9(a69,x19971,f3(a69)),x19971)),
% 14.93/14.73 inference(rename_variables,[],[598])).
% 14.93/14.73 cnf(1999,plain,
% 14.93/14.73 (~P3(a69,f9(a69,f7(a69,x19991,x19992),x19992),x19991)),
% 14.93/14.73 inference(scs_inference,[],[434,435,1875,580,1994,257,437,581,196,420,449,576,524,547,539,546,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,522,600,1922,1934,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525])).
% 14.93/14.73 cnf(2000,plain,
% 14.93/14.73 (~P3(a69,x20001,x20001)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2003,plain,
% 14.93/14.73 (E(f14(a1,x20031),x20031)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2004,plain,
% 14.93/14.73 (~P17(f14(a1,a69))),
% 14.93/14.73 inference(scs_inference,[],[575,434,435,1875,580,1994,257,437,581,196,420,449,576,524,547,539,546,417,2003,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,522,600,1922,1934,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147])).
% 14.93/14.73 cnf(2005,plain,
% 14.93/14.73 (E(f14(a1,x20051),x20051)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2007,plain,
% 14.93/14.73 (E(f14(a1,x20071),x20071)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2009,plain,
% 14.93/14.73 (P2(a68,x20091,x20091)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2011,plain,
% 14.93/14.73 (P2(a68,x20111,x20111)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2013,plain,
% 14.93/14.73 (~P3(a69,x20131,x20131)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2014,plain,
% 14.93/14.73 (~E(f2(a68),f9(a68,f4(a68,a22),f3(a68)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,257,437,581,196,420,449,576,524,547,539,546,417,2003,2005,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,522,600,1922,1934,1980,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117])).
% 14.93/14.73 cnf(2015,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x20151),f3(a68)),x20151)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2017,plain,
% 14.93/14.73 (~E(f9(a69,x20171,f3(a69)),x20171)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2020,plain,
% 14.93/14.73 (~P2(a68,a22,f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,257,261,437,581,196,420,449,576,524,547,539,546,417,2003,2005,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,1939,522,600,1922,1934,1980,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055])).
% 14.93/14.73 cnf(2024,plain,
% 14.93/14.73 (~P2(a1,f3(a1),f2(a1))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,252,257,258,261,437,581,196,420,449,576,524,547,539,546,417,2003,2005,478,1867,1872,1883,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,1939,522,600,1922,1934,1980,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050])).
% 14.93/14.73 cnf(2028,plain,
% 14.93/14.73 (P2(a69,f2(a69),x20281)),
% 14.93/14.73 inference(rename_variables,[],[441])).
% 14.93/14.73 cnf(2035,plain,
% 14.93/14.73 (P2(a69,f2(a69),x20351)),
% 14.93/14.73 inference(rename_variables,[],[441])).
% 14.93/14.73 cnf(2040,plain,
% 14.93/14.73 (~P3(a69,x20401,f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[584])).
% 14.93/14.73 cnf(2046,plain,
% 14.93/14.73 (~E(f9(a69,f9(a69,x20461,f3(a69)),x20462),x20461)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,251,252,257,258,259,261,263,441,2028,584,437,581,196,416,420,449,576,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,1939,522,600,1922,1934,1980,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734])).
% 14.93/14.73 cnf(2048,plain,
% 14.93/14.73 (~E(f9(a69,f9(a69,x20481,x20482),f3(a69)),x20481)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,251,252,257,258,259,261,263,441,2028,584,437,581,196,416,420,449,576,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,1939,522,600,1922,1934,1980,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732])).
% 14.93/14.73 cnf(2050,plain,
% 14.93/14.73 (~P3(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,2013,251,252,257,258,259,261,263,441,2028,584,437,581,196,416,420,449,576,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,1939,522,600,1922,1934,1980,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369])).
% 14.93/14.73 cnf(2051,plain,
% 14.93/14.73 (~P3(a69,x20511,x20511)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2053,plain,
% 14.93/14.73 (E(x20531,f9(a69,f2(a69),x20531))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,2013,251,252,257,258,259,261,263,441,2028,584,437,581,196,416,420,449,576,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,1939,522,1889,600,1922,1934,1980,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399])).
% 14.93/14.73 cnf(2058,plain,
% 14.93/14.73 (~P4(a68,f3(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,2013,251,252,257,258,259,261,263,328,441,2028,584,437,581,196,416,420,449,576,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,593,598,1897,1900,481,586,1929,1939,522,1889,600,1922,1934,1980,501,592,1964,1983,494,602,1950,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685])).
% 14.93/14.73 cnf(2068,plain,
% 14.93/14.73 (~E(f9(a69,x20681,f3(a69)),f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[592])).
% 14.93/14.73 cnf(2071,plain,
% 14.93/14.73 (P3(a69,x20711,f9(a69,x20711,f3(a69)))),
% 14.93/14.73 inference(rename_variables,[],[484])).
% 14.93/14.73 cnf(2072,plain,
% 14.93/14.73 (~P3(a69,x20721,x20721)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2076,plain,
% 14.93/14.73 (~P3(a1,f9(a1,a11,f3(a1)),f9(a1,a11,f3(a1)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,580,1994,2000,2013,2051,2072,251,252,257,258,259,261,263,328,330,441,2028,584,437,455,581,196,416,418,420,449,576,461,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,593,484,598,1897,1900,481,586,1929,1939,464,522,1889,600,1922,1934,1980,501,592,1964,1983,1989,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272])).
% 14.93/14.73 cnf(2077,plain,
% 14.93/14.73 (~P3(a69,x20771,x20771)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2079,plain,
% 14.93/14.73 (P2(a1,x20791,f4(a1,x20791))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,435,1875,1878,580,1994,2000,2013,2051,2072,223,251,252,257,258,259,261,263,328,330,441,2028,584,437,455,581,196,416,418,420,449,576,461,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,593,484,598,1897,1900,481,586,1929,1939,464,522,1889,600,1922,1934,1980,501,592,1964,1983,1989,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092])).
% 14.93/14.73 cnf(2080,plain,
% 14.93/14.73 (P2(a1,x20801,x20801)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2093,plain,
% 14.93/14.73 (P2(a68,x20931,x20931)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2101,plain,
% 14.93/14.73 (P3(a69,f49(f9(a69,f2(a69),f3(a69)),f9(a69,f2(a69),f3(a69))),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,580,1994,2000,2013,2051,2072,223,251,252,257,258,259,261,263,328,330,441,2028,584,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,481,446,586,1929,1939,2017,464,522,1889,600,1922,1934,1980,501,477,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394])).
% 14.93/14.73 cnf(2102,plain,
% 14.93/14.73 (P3(a69,x21021,f9(a69,x21021,f3(a69)))),
% 14.93/14.73 inference(rename_variables,[],[484])).
% 14.93/14.73 cnf(2103,plain,
% 14.93/14.73 (~E(f9(a69,x21031,f3(a69)),x21031)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2106,plain,
% 14.93/14.73 (P2(a69,f2(a69),x21061)),
% 14.93/14.73 inference(rename_variables,[],[441])).
% 14.93/14.73 cnf(2112,plain,
% 14.93/14.73 (~E(f9(a68,x21121,f3(a68)),x21121)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,580,1994,2000,2013,2051,2072,203,223,231,251,252,257,258,259,261,263,328,330,358,441,2028,2035,584,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,481,446,586,1929,1939,2017,464,522,1889,600,1922,1934,1980,501,477,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851])).
% 14.93/14.73 cnf(2115,plain,
% 14.93/14.73 (~E(f9(a69,x21151,f3(a69)),x21151)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2118,plain,
% 14.93/14.73 (E(f14(a1,x21181),x21181)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2125,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x21251),f3(a68)),x21251)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2130,plain,
% 14.93/14.73 (~P3(a69,x21301,f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[584])).
% 14.93/14.73 cnf(2132,plain,
% 14.93/14.73 (~P3(a68,x21321,f8(a68,f9(a68,f4(a68,f8(a68,x21321)),f3(a68))))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,580,1994,2000,2013,2051,2072,203,223,231,233,240,251,252,257,258,259,261,263,308,311,312,328,330,358,441,2028,2035,584,2040,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,481,446,586,1929,1939,2017,2103,464,522,1889,600,1922,1934,1980,2015,2125,501,477,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155])).
% 14.93/14.73 cnf(2133,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x21331),f3(a68)),x21331)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2140,plain,
% 14.93/14.73 (~E(f9(a69,x21401,f3(a69)),x21401)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2145,plain,
% 14.93/14.73 (~P2(a69,f9(a69,x21451,f3(a69)),x21451)),
% 14.93/14.73 inference(rename_variables,[],[598])).
% 14.93/14.73 cnf(2147,plain,
% 14.93/14.73 (~E(x21471,f9(a69,f8(a68,f9(a69,f8(a68,f7(a69,x21471,x21471)),f3(a69))),x21471))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,436,580,1994,2000,2013,2051,2072,203,223,228,231,233,240,251,252,257,258,259,261,263,308,311,312,328,330,358,441,2028,2035,584,2040,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,1997,481,446,586,1929,1939,2017,2103,2115,464,522,1889,600,1922,1934,1980,2015,2125,501,477,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178])).
% 14.93/14.73 cnf(2150,plain,
% 14.93/14.73 (~E(f9(a69,x21501,f3(a69)),x21501)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2151,plain,
% 14.93/14.73 (P2(a69,f2(a69),x21511)),
% 14.93/14.73 inference(rename_variables,[],[441])).
% 14.93/14.73 cnf(2153,plain,
% 14.93/14.73 (~P2(a68,f2(a68),f8(a68,a22))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,436,580,1994,2000,2013,2051,2072,203,223,228,231,233,240,251,252,257,258,259,261,263,308,311,312,328,330,358,441,2028,2035,2106,584,2040,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,1997,481,446,586,1929,1939,2017,2103,2115,2140,464,522,1889,600,1922,1934,1980,2015,2125,501,477,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123])).
% 14.93/14.73 cnf(2155,plain,
% 14.93/14.73 (~P3(a1,f2(a1),f8(a1,a11))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,436,580,1994,2000,2013,2051,2072,203,223,228,231,233,240,241,251,252,257,258,259,261,263,308,311,312,328,330,358,441,2028,2035,2106,584,2040,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,1997,481,446,586,1929,1939,2017,2103,2115,2140,464,522,1889,600,1922,1934,1980,2015,2125,501,477,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122])).
% 14.93/14.73 cnf(2177,plain,
% 14.93/14.73 (~P2(a68,f2(a68),f9(a68,f8(a68,a22),f8(a68,a22)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,436,580,1994,2000,2013,2051,2072,203,222,223,228,230,231,233,240,241,251,252,257,258,259,261,263,308,311,312,328,330,332,358,441,2028,2035,2106,584,2040,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,1997,481,446,586,1929,1939,2017,2103,2115,2140,464,522,1889,600,1922,1934,1980,2015,2125,501,477,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374])).
% 14.93/14.73 cnf(2181,plain,
% 14.93/14.73 (~P2(a68,f9(a68,a22,a22),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,436,580,1994,2000,2013,2051,2072,203,222,223,228,230,231,232,233,240,241,251,252,257,258,259,261,263,308,311,312,328,330,332,358,441,2028,2035,2106,584,2040,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,1997,481,446,586,1929,1939,2017,2103,2115,2140,464,522,1889,600,1922,1934,1980,2015,2125,501,477,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372])).
% 14.93/14.73 cnf(2196,plain,
% 14.93/14.73 (~E(f9(a69,x21961,f3(a69)),x21961)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2200,plain,
% 14.93/14.73 (~E(f9(a68,f9(a69,f8(a68,x22001),f3(a69)),x22001),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,435,1875,1878,436,580,1994,2000,2013,2051,2072,202,203,222,223,226,228,230,231,232,233,240,241,242,251,252,257,258,259,261,263,308,311,312,328,330,332,358,441,2028,2035,2106,584,2040,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,598,1897,1900,1997,481,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,464,522,1889,600,1922,1934,1980,2015,2125,501,477,483,592,1964,1983,1989,491,494,602,1950,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883])).
% 14.93/14.73 cnf(2201,plain,
% 14.93/14.73 (~E(f9(a69,x22011,f3(a69)),x22011)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2204,plain,
% 14.93/14.73 (~E(f9(a69,x22041,f3(a69)),x22041)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2211,plain,
% 14.93/14.73 (P3(a69,x22111,f9(a69,x22111,f3(a69)))),
% 14.93/14.73 inference(rename_variables,[],[484])).
% 14.93/14.73 cnf(2212,plain,
% 14.93/14.73 (~P3(a69,x22121,f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[584])).
% 14.93/14.73 cnf(2215,plain,
% 14.93/14.73 (E(f14(a1,x22151),x22151)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2218,plain,
% 14.93/14.73 (P2(a68,x22181,x22181)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2224,plain,
% 14.93/14.73 (E(f14(a1,x22241),x22241)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2229,plain,
% 14.93/14.73 (~E(f9(a68,f10(a68,x22291,x22292),f9(a69,f9(a68,f10(a68,f7(a68,x22293,x22291),x22292),x22294),f3(a69))),f9(a68,f10(a68,x22293,x22292),x22294))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,436,580,1994,2000,2013,2051,2072,202,203,222,223,226,228,230,231,232,233,240,241,242,251,252,257,258,259,261,263,266,308,311,312,328,330,332,358,377,379,441,2028,2035,2106,584,2040,2130,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,2118,2215,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,481,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,501,477,483,592,1964,1983,1989,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764])).
% 14.93/14.73 cnf(2230,plain,
% 14.93/14.73 (~E(f9(a69,x22301,f3(a69)),x22301)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2232,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,a22),f3(a68)),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,436,580,1994,2000,2013,2051,2072,202,203,222,223,226,228,230,231,232,233,240,241,242,251,252,257,258,259,261,263,266,308,311,312,328,330,332,358,377,379,441,2028,2035,2106,584,2040,2130,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,2118,2215,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,481,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,501,477,483,592,1964,1983,1989,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200])).
% 14.93/14.73 cnf(2233,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x22331),f3(a68)),x22331)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2237,plain,
% 14.93/14.73 (~P2(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),f2(a69))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,436,580,1994,2000,2013,2051,2072,202,203,222,223,226,228,230,231,232,233,240,241,242,251,252,257,258,259,261,262,263,266,308,311,312,328,330,332,358,377,379,441,2028,2035,2106,2151,584,2040,2130,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,2118,2215,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,481,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,501,477,483,592,1964,1983,1989,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069])).
% 14.93/14.73 cnf(2238,plain,
% 14.93/14.73 (P2(a69,f2(a69),x22381)),
% 14.93/14.73 inference(rename_variables,[],[441])).
% 14.93/14.73 cnf(2241,plain,
% 14.93/14.73 (~P3(a69,x22411,f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[584])).
% 14.93/14.73 cnf(2244,plain,
% 14.93/14.73 (~P3(a69,x22441,f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[584])).
% 14.93/14.73 cnf(2246,plain,
% 14.93/14.73 (~P2(a68,f9(a68,f4(a68,a22),f3(a68)),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,436,580,1994,2000,2013,2051,2072,202,203,222,223,226,228,230,231,232,233,240,241,242,251,252,253,257,258,259,261,262,263,266,308,311,312,328,330,332,358,377,379,441,2028,2035,2106,2151,584,2040,2130,2212,2241,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,2118,2215,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,481,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963])).
% 14.93/14.73 cnf(2251,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x22511),f3(a68)),x22511)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2254,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x22541),f3(a68)),x22541)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2256,plain,
% 14.93/14.73 (~P3(a68,f2(a68),f14(a68,a11))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,436,580,1994,2000,2013,2051,2072,199,202,203,222,223,226,228,230,231,232,233,240,241,242,251,252,253,257,258,259,261,262,263,266,308,311,312,328,330,332,358,377,379,578,441,2028,2035,2106,2151,584,2040,2130,2212,2241,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,2118,2215,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,481,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119])).
% 14.93/14.73 cnf(2258,plain,
% 14.93/14.73 (~P3(a68,f14(a68,a11),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,436,580,1994,2000,2013,2051,2072,199,202,203,222,223,226,228,230,231,232,233,240,241,242,251,252,253,257,258,259,261,262,263,266,308,311,312,328,330,332,358,377,379,578,441,2028,2035,2106,2151,584,2040,2130,2212,2241,437,455,581,196,416,418,420,449,576,461,537,524,547,539,546,417,2003,2005,2007,2118,2215,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,481,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117])).
% 14.93/14.73 cnf(2261,plain,
% 14.93/14.73 (P2(a1,x22611,x22611)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2264,plain,
% 14.93/14.73 (P2(a1,x22641,x22641)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2269,plain,
% 14.93/14.73 (P2(a1,x22691,x22691)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2274,plain,
% 14.93/14.73 (P2(a1,x22741,x22741)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2281,plain,
% 14.93/14.73 (E(f7(a1,x22811,a11),x22811)),
% 14.93/14.73 inference(rename_variables,[],[431])).
% 14.93/14.73 cnf(2285,plain,
% 14.93/14.73 (P2(a69,f2(a69),x22851)),
% 14.93/14.73 inference(rename_variables,[],[441])).
% 14.93/14.73 cnf(2286,plain,
% 14.93/14.73 (P2(a69,x22861,x22861)),
% 14.93/14.73 inference(rename_variables,[],[436])).
% 14.93/14.73 cnf(2290,plain,
% 14.93/14.73 (~P2(a68,f20(a68,f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f9(a69,x22901,f3(a69))),f20(a68,f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),x22901))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,2080,2261,2264,2269,436,580,1994,2000,2013,2051,2072,199,202,203,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,328,330,332,358,377,379,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,437,455,581,196,416,418,420,449,576,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,431,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698])).
% 14.93/14.73 cnf(2295,plain,
% 14.93/14.73 (P2(a69,x22951,x22951)),
% 14.93/14.73 inference(rename_variables,[],[436])).
% 14.93/14.73 cnf(2297,plain,
% 14.93/14.73 (~P2(a69,f9(a69,f9(a69,f9(a69,x22971,f2(a69)),x22972),f3(a69)),x22971)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,2080,2261,2264,2269,436,2286,2295,580,1994,2000,2013,2051,2072,199,202,203,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,327,328,330,332,358,377,379,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,431,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422])).
% 14.93/14.73 cnf(2298,plain,
% 14.93/14.73 (P2(a69,x22981,x22981)),
% 14.93/14.73 inference(rename_variables,[],[436])).
% 14.93/14.73 cnf(2300,plain,
% 14.93/14.73 (~P2(a69,f9(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),x23001),x23001)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,435,1875,1878,2080,2261,2264,2269,436,2286,2295,580,1994,2000,2013,2051,2072,2077,199,202,203,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,327,328,330,332,358,377,379,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,431,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421])).
% 14.93/14.73 cnf(2301,plain,
% 14.93/14.73 (~P3(a69,x23011,x23011)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2304,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x23041),f3(a68)),x23041)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2305,plain,
% 14.93/14.73 (P2(a68,x23051,x23051)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2308,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x23081),f3(a68)),x23081)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2312,plain,
% 14.93/14.73 (~P2(a69,f9(a69,x23121,f9(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),x23122)),x23122)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,199,202,203,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,313,316,325,327,328,330,332,358,377,379,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,431,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567])).
% 14.93/14.73 cnf(2318,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x23181),f3(a68)),x23181)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(2321,plain,
% 14.93/14.73 (E(f7(a1,x23211,a11),x23211)),
% 14.93/14.73 inference(rename_variables,[],[431])).
% 14.93/14.73 cnf(2324,plain,
% 14.93/14.73 (E(f7(a1,x23241,a11),x23241)),
% 14.93/14.73 inference(rename_variables,[],[431])).
% 14.93/14.73 cnf(2327,plain,
% 14.93/14.73 (P2(a68,x23271,x23271)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2336,plain,
% 14.93/14.73 (~E(f9(a69,x23361,f3(a69)),x23361)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2339,plain,
% 14.93/14.73 (P2(a68,x23391,x23391)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2353,plain,
% 14.93/14.73 (~P3(a69,f2(a69),f10(a69,f2(a69),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,199,202,203,212,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,313,316,325,327,328,330,332,358,376,377,379,391,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,414,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537])).
% 14.93/14.73 cnf(2354,plain,
% 14.93/14.73 (~P3(a69,x23541,x23541)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2357,plain,
% 14.93/14.73 (~P3(a69,x23571,x23571)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2373,plain,
% 14.93/14.73 (~P2(a68,f2(a68),f25(a68,a22,f8(a68,a22)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,212,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,313,316,325,327,328,330,332,358,375,376,377,379,391,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,414,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500])).
% 14.93/14.73 cnf(2375,plain,
% 14.93/14.73 (~P2(a68,f2(a68),f25(a68,f8(a68,a22),a22))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,212,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,313,316,325,327,328,330,332,358,375,376,377,379,391,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,414,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499])).
% 14.93/14.73 cnf(2379,plain,
% 14.93/14.73 (~P3(a68,f2(a68),f25(a68,x23791,f14(a68,a11)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,212,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,313,316,325,327,328,330,332,358,375,376,377,379,391,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,414,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497])).
% 14.93/14.73 cnf(2390,plain,
% 14.93/14.73 (E(f14(a1,x23901),x23901)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2393,plain,
% 14.93/14.73 (E(f14(a1,x23931),x23931)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2396,plain,
% 14.93/14.73 (~E(f9(a69,x23961,f3(a69)),x23961)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2397,plain,
% 14.93/14.73 (E(f14(a1,x23971),x23971)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2400,plain,
% 14.93/14.73 (~E(f9(a69,x24001,f3(a69)),x24001)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2401,plain,
% 14.93/14.73 (E(f14(a1,x24011),x24011)),
% 14.93/14.73 inference(rename_variables,[],[417])).
% 14.93/14.73 cnf(2404,plain,
% 14.93/14.73 (~E(f9(a69,x24041,f3(a69)),x24041)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2407,plain,
% 14.93/14.73 (~E(f9(a69,x24071,f3(a69)),x24071)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2409,plain,
% 14.93/14.73 (~E(f10(a68,f9(a69,x24091,f9(a69,f25(a68,x24092,f9(a69,f2(a68),f3(a69))),f3(a69))),f9(a69,f2(a68),f3(a69))),x24092)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,313,316,325,327,328,330,332,358,375,376,377,379,391,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,414,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998])).
% 14.93/14.73 cnf(2410,plain,
% 14.93/14.73 (~E(f9(a69,x24101,f3(a69)),x24101)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2412,plain,
% 14.93/14.73 (~E(f25(a68,f9(a69,f10(a68,x24121,f9(a69,f2(a68),f3(a69))),f9(a69,f2(a69),f3(a69))),f9(a69,f2(a68),f3(a69))),x24121)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,313,316,325,327,328,330,332,358,375,376,377,379,391,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,414,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997])).
% 14.93/14.73 cnf(2413,plain,
% 14.93/14.73 (~E(f9(a69,x24131,f3(a69)),x24131)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2415,plain,
% 14.93/14.73 (~E(f10(a68,f3(a68),f3(a68)),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,308,311,312,313,316,325,327,328,330,332,358,375,376,377,379,384,391,578,441,2028,2035,2106,2151,2238,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,414,461,537,524,547,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874])).
% 14.93/14.73 cnf(2424,plain,
% 14.93/14.73 (P2(a68,x24241,x24241)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2427,plain,
% 14.93/14.73 (P2(a69,f2(a69),x24271)),
% 14.93/14.73 inference(rename_variables,[],[441])).
% 14.93/14.73 cnf(2428,plain,
% 14.93/14.73 (P2(a69,x24281,x24281)),
% 14.93/14.73 inference(rename_variables,[],[436])).
% 14.93/14.73 cnf(2430,plain,
% 14.93/14.73 (~P3(a68,f13(f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f3(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,293,308,311,312,313,316,325,327,328,330,332,352,358,375,376,377,379,384,391,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676])).
% 14.93/14.73 cnf(2432,plain,
% 14.93/14.73 (~P2(a1,f2(a1),f8(a1,f3(a1)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,293,308,311,312,313,316,325,326,327,328,330,332,352,358,375,376,377,379,384,391,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302])).
% 14.93/14.73 cnf(2435,plain,
% 14.93/14.73 (~E(f25(a68,f9(a69,f25(a68,f10(a68,x24351,f3(a68)),f3(a68)),f3(a69)),f3(a68)),f25(a68,x24351,f3(a68)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,208,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,293,308,311,312,313,316,325,326,327,328,330,332,352,358,375,376,377,379,384,391,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307])).
% 14.93/14.73 cnf(2437,plain,
% 14.93/14.73 (~E(f10(a68,f9(a69,f10(a68,f25(a68,x24371,f3(a68)),f3(a68)),f3(a69)),f3(a68)),f10(a68,x24371,f3(a68)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,208,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,291,293,308,311,312,313,316,325,326,327,328,330,332,352,358,375,376,377,379,384,391,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,455,581,196,416,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,602,1950,1952,599,544,555,565,568,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306])).
% 14.93/14.73 cnf(2444,plain,
% 14.93/14.73 (P2(a68,x24441,x24441)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2447,plain,
% 14.93/14.73 (P2(a68,x24471,x24471)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2448,plain,
% 14.93/14.73 (P2(a68,x24481,f13(f9(a68,f20(a68,x24481,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x24482,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))),
% 14.93/14.73 inference(rename_variables,[],[568])).
% 14.93/14.73 cnf(2449,plain,
% 14.93/14.73 (P2(a68,x24491,x24491)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2452,plain,
% 14.93/14.73 (P2(a68,x24521,x24521)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2453,plain,
% 14.93/14.73 (P2(a68,x24531,x24531)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2457,plain,
% 14.93/14.73 (P2(a68,x24571,x24571)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2461,plain,
% 14.93/14.73 (P2(a69,x24611,f9(a69,f9(a69,x24611,x24612),f3(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2447,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,208,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,261,262,263,266,287,289,291,293,308,311,312,313,316,325,326,327,328,330,332,342,344,346,348,350,352,358,375,376,377,379,384,391,400,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927])).
% 14.93/14.73 cnf(2485,plain,
% 14.93/14.73 (~P3(a69,f9(a69,x24851,f3(a69)),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2447,435,1875,1878,2080,2261,2264,2269,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,198,199,202,203,208,212,221,222,223,226,228,230,231,232,233,239,240,241,242,251,252,253,257,258,259,260,261,262,263,266,287,289,291,293,308,311,312,313,316,325,326,327,328,330,332,342,344,346,348,350,352,358,375,376,377,379,384,391,400,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273])).
% 14.93/14.73 cnf(2506,plain,
% 14.93/14.73 (P2(a1,x25061,x25061)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2640,plain,
% 14.93/14.73 (P17(f70(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2447,435,1875,1878,2080,2261,2264,2269,2274,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614])).
% 14.93/14.73 cnf(2654,plain,
% 14.93/14.73 (~E(f13(f9(a68,f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x26541,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x26541)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2447,435,1875,1878,2080,2261,2264,2269,2274,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843])).
% 14.93/14.73 cnf(2656,plain,
% 14.93/14.73 (~E(f13(f9(a68,f20(a68,x26561,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x26561)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2447,435,1875,1878,2080,2261,2264,2269,2274,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842])).
% 14.93/14.73 cnf(2667,plain,
% 14.93/14.73 (P2(a68,x26671,x26671)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2688,plain,
% 14.93/14.73 (P2(a68,x26881,x26881)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2691,plain,
% 14.93/14.73 (P2(a68,x26911,x26911)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2696,plain,
% 14.93/14.73 (~E(f9(a69,x26961,f3(a69)),x26961)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2704,plain,
% 14.93/14.73 (~E(f9(a69,x27041,f9(a69,x27042,f9(a69,x27043,f3(a69)))),f2(a69))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2447,435,1875,1878,2080,2261,2264,2269,2274,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825])).
% 14.93/14.73 cnf(2713,plain,
% 14.93/14.73 (~E(f9(a69,x27131,f3(a69)),x27131)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(2722,plain,
% 14.93/14.73 (P2(a1,x27221,x27221)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2725,plain,
% 14.93/14.73 (P2(a1,x27251,x27251)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2731,plain,
% 14.93/14.73 (P3(a1,f2(a1),f20(a1,f4(a1,f3(a1)),x27311))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146])).
% 14.93/14.73 cnf(2733,plain,
% 14.93/14.73 (~P3(a68,f2(a68),f16(a69,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065])).
% 14.93/14.73 cnf(2734,plain,
% 14.93/14.73 (~P3(a69,x27341,x27341)),
% 14.93/14.73 inference(rename_variables,[],[580])).
% 14.93/14.73 cnf(2748,plain,
% 14.93/14.73 (P2(a68,x27481,x27481)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2751,plain,
% 14.93/14.73 (P2(a68,x27511,x27511)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2873,plain,
% 14.93/14.73 (~P2(a1,f9(a1,f9(a1,f3(a1),a11),a11),a11)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717])).
% 14.93/14.73 cnf(2875,plain,
% 14.93/14.73 (~P3(a1,f9(a1,f9(a1,f3(a1),a11),a11),a11)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,436,2286,2295,2298,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716])).
% 14.93/14.73 cnf(2880,plain,
% 14.93/14.73 (P2(a1,x28801,x28801)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2914,plain,
% 14.93/14.73 (~P2(a68,f7(a68,a22,f2(a68)),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,391,400,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323])).
% 14.93/14.73 cnf(2924,plain,
% 14.93/14.73 (~P3(a68,f10(a68,x29241,x29241),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282])).
% 14.93/14.73 cnf(2931,plain,
% 14.93/14.73 (P2(a1,x29311,x29311)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2934,plain,
% 14.93/14.73 (P2(a1,x29341,x29341)),
% 14.93/14.73 inference(rename_variables,[],[435])).
% 14.93/14.73 cnf(2949,plain,
% 14.93/14.73 (P2(a68,f8(a68,f4(a68,x29491)),x29491)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106])).
% 14.93/14.73 cnf(2950,plain,
% 14.93/14.73 (P2(a68,x29501,x29501)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(2962,plain,
% 14.93/14.73 (P3(a68,x29621,f9(a68,x29621,f3(a68)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064])).
% 14.93/14.73 cnf(2964,plain,
% 14.93/14.73 (P2(a68,f2(a68),f10(a68,x29641,x29641))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040])).
% 14.93/14.73 cnf(2990,plain,
% 14.93/14.73 (~P2(a68,f3(a68),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876])).
% 14.93/14.73 cnf(2994,plain,
% 14.93/14.73 (P2(a68,f2(a68),f4(a68,x29941))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,287,289,291,293,308,311,312,313,316,317,325,326,327,328,329,330,332,338,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832])).
% 14.93/14.73 cnf(3007,plain,
% 14.93/14.73 (~E(f9(a69,x30071,f3(a69)),x30071)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(3070,plain,
% 14.93/14.73 (P3(a69,x30701,f9(a69,x30701,f3(a69)))),
% 14.93/14.73 inference(rename_variables,[],[484])).
% 14.93/14.73 cnf(3077,plain,
% 14.93/14.73 (~E(f9(a69,x30771,f3(a69)),x30771)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(3089,plain,
% 14.93/14.73 (P3(a1,f9(a1,f7(a1,f2(a1),f3(a1)),f7(a1,f2(a1),f3(a1))),f2(a1))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,338,339,340,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257])).
% 14.93/14.73 cnf(3123,plain,
% 14.93/14.73 (~P3(a68,f9(a68,x31231,f9(a68,f4(a68,f8(a68,x31231)),f3(a68))),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354])).
% 14.93/14.73 cnf(3145,plain,
% 14.93/14.73 (E(f9(a69,f9(a69,f2(a69),f3(a69)),f55(f9(a69,f2(a69),f3(a69)),f9(a69,f2(a69),f3(a69)))),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,294,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014])).
% 14.93/14.73 cnf(3147,plain,
% 14.93/14.73 (E(f9(a69,f9(a69,f2(a69),f3(a69)),f54(f9(a69,f2(a69),f3(a69)),f9(a69,f2(a69),f3(a69)))),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,294,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,348,350,352,358,362,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013])).
% 14.93/14.73 cnf(3225,plain,
% 14.93/14.73 (~P3(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,207,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,294,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,358,362,365,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773])).
% 14.93/14.73 cnf(3233,plain,
% 14.93/14.73 (~P2(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,a11,a11))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,207,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,294,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,358,362,365,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756])).
% 14.93/14.73 cnf(3239,plain,
% 14.93/14.73 (~P3(a1,f9(a1,f3(a1),f3(a1)),f9(a1,f9(a1,f3(a1),f2(a1)),f2(a1)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,207,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,294,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,358,362,365,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750])).
% 14.93/14.73 cnf(3253,plain,
% 14.93/14.73 (P3(a1,f9(a1,f9(a1,f3(a1),f2(a1)),f2(a1)),f9(a1,f3(a1),f3(a1)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,207,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,294,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,358,362,365,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685])).
% 14.93/14.73 cnf(3271,plain,
% 14.93/14.73 (~P2(a1,f9(a1,f3(a1),f3(a1)),f9(a1,f2(a1),f2(a1)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,207,208,210,212,221,222,223,226,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,283,284,285,286,287,288,289,291,293,294,308,311,312,313,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,358,362,365,375,376,377,379,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609])).
% 14.93/14.73 cnf(3447,plain,
% 14.93/14.73 (~E(a66,x34471)+P39(x34471)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,221,222,223,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,358,362,365,368,371,375,376,377,378,379,381,384,387,391,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185])).
% 14.93/14.73 cnf(3462,plain,
% 14.93/14.73 (P45(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,221,222,223,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,391,392,395,398,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170])).
% 14.93/14.73 cnf(3475,plain,
% 14.93/14.73 (P54(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,221,222,223,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,391,392,395,398,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157])).
% 14.93/14.73 cnf(3476,plain,
% 14.93/14.73 (P67(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,221,222,223,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,391,392,395,398,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156])).
% 14.93/14.73 cnf(3482,plain,
% 14.93/14.73 (P23(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,221,222,223,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150])).
% 14.93/14.73 cnf(3490,plain,
% 14.93/14.73 (P12(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141])).
% 14.93/14.73 cnf(3491,plain,
% 14.93/14.73 (P9(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140])).
% 14.93/14.73 cnf(3501,plain,
% 14.93/14.73 (P48(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129])).
% 14.93/14.73 cnf(3506,plain,
% 14.93/14.73 (P36(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123])).
% 14.93/14.73 cnf(3511,plain,
% 14.93/14.73 (P10(f9(a69,a68,f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114])).
% 14.93/14.73 cnf(3530,plain,
% 14.93/14.73 (~E(f9(a69,x35301,f3(a69)),x35301)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(3531,plain,
% 14.93/14.73 (~E(f9(a69,x35311,f3(a69)),f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[592])).
% 14.93/14.73 cnf(3533,plain,
% 14.93/14.73 (~P3(a68,f21(a12,f7(a12,f45(f18(a12,a73),f58(a22)),f45(f18(a12,a73),a77))),f25(a68,f4(a68,f7(a68,f21(a12,f45(f18(a12,a73),a77)),f8(a68,a76))),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831])).
% 14.93/14.73 cnf(3535,plain,
% 14.93/14.73 (P3(a68,f21(a12,f7(a12,f58(a22),a77)),a22)),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491])).
% 14.93/14.73 cnf(3537,plain,
% 14.93/14.73 (P3(a68,f2(a68),f21(a12,f7(a12,f58(a22),a77)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,483,457,592,1964,1983,1989,2068,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516])).
% 14.93/14.73 cnf(3561,plain,
% 14.93/14.73 (P2(a68,f2(a68),f25(a68,f16(a69,f14(a69,a11)),x35611))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389])).
% 14.93/14.73 cnf(3563,plain,
% 14.93/14.73 (P2(a68,f2(a68),f25(a68,x35631,f16(a69,f14(a69,a11))))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388])).
% 14.93/14.73 cnf(3565,plain,
% 14.93/14.73 (P2(a68,f2(a68),f25(a68,f14(a68,a11),f14(a68,a11)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388,1387])).
% 14.93/14.73 cnf(3567,plain,
% 14.93/14.73 (~P3(a1,f2(a1),f20(a1,f4(a1,f14(a1,a11)),f9(a69,f2(a69),f3(a69))))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,3530,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388,1387,1381])).
% 14.93/14.73 cnf(3568,plain,
% 14.93/14.73 (~E(f9(a69,x35681,f3(a69)),x35681)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(3576,plain,
% 14.93/14.73 (~P2(a69,f14(a69,f7(a1,f3(a1),f2(a1))),f14(a69,a11))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,3530,3568,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388,1387,1381,1336,1267,1293,1268])).
% 14.93/14.73 cnf(3578,plain,
% 14.93/14.73 (~E(f9(a69,f9(a69,f9(a69,x35781,f3(a69)),f9(a69,x35781,f3(a69))),x35782),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,3530,3568,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388,1387,1381,1336,1267,1293,1268,1216])).
% 14.93/14.73 cnf(3583,plain,
% 14.93/14.73 (~E(f9(a69,x35831,f3(a69)),x35831)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(3594,plain,
% 14.93/14.73 (~E(f9(a69,x35941,f3(a69)),x35941)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(3599,plain,
% 14.93/14.73 (~E(f9(a69,x35991,f3(a69)),x35991)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(3600,plain,
% 14.93/14.73 (~E(f9(a69,x36001,f3(a69)),f2(a69))),
% 14.93/14.73 inference(rename_variables,[],[592])).
% 14.93/14.73 cnf(3603,plain,
% 14.93/14.73 (~E(f9(a69,x36031,f3(a69)),x36031)),
% 14.93/14.73 inference(rename_variables,[],[586])).
% 14.93/14.73 cnf(3616,plain,
% 14.93/14.73 (~P2(a69,f9(a69,f9(a69,f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69)),f9(a69,f9(a69,f2(a69),f3(a69)),f3(a69))),f9(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),f2(a69))),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,202,203,204,206,207,208,210,212,214,217,221,222,223,224,226,227,228,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,3530,3568,3583,3594,3599,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,3600,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388,1387,1381,1336,1267,1293,1268,1216,1215,1214,1150,1149,1090,1726,1082,1304,1218,1217,1152,1151,1740,1542,1538,1486])).
% 14.93/14.73 cnf(3642,plain,
% 14.93/14.73 (~E(f8(a68,f3(a68)),f8(a68,f2(a68)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,200,202,203,204,205,206,207,208,210,212,214,217,221,222,223,224,226,227,228,229,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,301,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,3530,3568,3583,3594,3599,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,3600,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388,1387,1381,1336,1267,1293,1268,1216,1215,1214,1150,1149,1090,1726,1082,1304,1218,1217,1152,1151,1740,1542,1538,1486,1346,1319,1108,1062,1060,1059,854,853,823,757,756,710,709])).
% 14.93/14.73 cnf(3650,plain,
% 14.93/14.73 (E(f9(a68,f10(a68,f13(f2(a68)),f13(f2(a68))),f10(a68,f13(f2(a68)),f13(f2(a68)))),f2(a68))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,200,202,203,204,205,206,207,208,210,212,214,217,221,222,223,224,226,227,228,229,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,301,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,3070,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,3530,3568,3583,3594,3599,3603,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,3600,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388,1387,1381,1336,1267,1293,1268,1216,1215,1214,1150,1149,1090,1726,1082,1304,1218,1217,1152,1151,1740,1542,1538,1486,1346,1319,1108,1062,1060,1059,854,853,823,757,756,710,709,1400,1305,1037,1284])).
% 14.93/14.73 cnf(3652,plain,
% 14.93/14.73 (P3(a69,f7(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f7(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),f2(a69)))),
% 14.93/14.73 inference(scs_inference,[],[575,434,1912,2009,2011,2093,2218,2305,2327,2339,2424,2444,2449,2452,2457,2667,2688,2691,2748,2751,2950,2447,2453,435,1875,1878,2080,2261,2264,2269,2274,2506,2722,2725,2880,2931,2934,436,2286,2295,2298,2428,580,1994,2000,2013,2051,2072,2077,2301,2354,2357,2734,197,198,199,200,202,203,204,205,206,207,208,210,212,214,217,221,222,223,224,226,227,228,229,230,231,232,233,237,239,240,241,242,244,247,251,252,253,254,257,258,259,260,261,262,263,265,266,270,275,279,283,284,285,286,287,288,289,291,293,294,296,300,301,304,308,311,312,313,314,316,317,318,321,325,326,327,328,329,330,332,335,338,339,340,342,344,346,347,348,350,352,354,358,362,365,367,368,371,375,376,377,378,379,380,381,384,387,389,391,392,395,398,400,403,406,407,410,578,441,2028,2035,2106,2151,2238,2285,2427,584,2040,2130,2212,2241,2244,437,438,454,455,581,196,416,456,418,420,449,451,576,577,414,415,461,537,524,547,556,557,558,539,546,417,2003,2005,2007,2118,2215,2224,2390,2393,2397,2401,431,2281,2321,2324,432,478,1867,1872,1883,1886,480,594,1862,1903,1906,595,1892,1909,458,593,484,2071,2102,2211,3070,598,1897,1900,1997,2145,481,1973,482,446,586,1929,1939,2017,2103,2115,2140,2150,2196,2201,2204,2230,2336,2396,2400,2404,2407,2410,2413,2696,2713,3007,3077,3530,3568,3583,3594,3599,3603,464,522,1889,523,600,1922,1934,1980,2015,2125,2133,2233,2251,2254,2304,2308,2318,501,477,485,483,457,592,1964,1983,1989,2068,3531,3600,597,491,494,502,602,1950,1952,599,561,544,555,565,568,1970,2448,2,831,815,810,809,824,1029,953,1398,1397,1333,1329,1326,1324,1313,1312,1309,1243,1227,1226,1224,1222,1220,1167,1038,1018,929,1042,988,987,849,819,761,760,719,606,605,603,1261,992,11,10,1617,1610,1607,1404,1299,1031,1027,1007,940,1234,879,1289,1233,852,829,1356,1527,1526,1525,188,147,139,121,120,118,117,3,1056,1055,1054,1050,1034,957,955,938,893,871,844,843,734,732,1369,1399,1386,685,675,1650,1382,738,1440,1337,1272,1092,1807,1345,1541,1318,1291,1678,1544,1543,1394,1540,1102,1101,851,702,700,687,1626,1432,1430,1269,1155,1110,706,704,1628,1627,1178,1177,1123,1122,986,958,858,855,847,698,697,696,683,682,1374,1373,1372,1371,1370,1043,859,764,763,884,883,882,822,821,1709,848,1802,1767,1766,1765,1764,1200,1197,1069,971,965,963,905,1519,1518,1119,1117,1074,1072,1071,1734,1733,1732,1206,1205,1088,1385,1428,1698,1696,1423,1422,1421,1420,1419,1568,1567,1566,1565,1350,1348,1317,867,866,791,790,1701,1700,1699,1671,1670,1669,1668,1537,1536,1515,1514,1513,1508,1507,1502,1501,1500,1499,1498,1497,1494,1493,1492,1458,1005,1004,1003,1002,1000,999,998,997,874,873,1675,1674,1672,1677,1676,1302,1307,1306,911,909,1714,1713,1712,1711,1283,927,922,921,863,862,861,727,717,714,950,830,721,1273,1770,1328,1327,1251,1248,1244,1239,1238,1168,1057,1017,919,805,788,737,736,701,695,693,692,691,690,689,688,671,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1843,1842,1833,1832,1828,1806,1801,1768,1615,1611,1415,1265,1116,1115,1010,985,977,976,975,914,913,895,826,825,820,800,799,672,668,604,1815,1263,1256,1253,1148,1146,1065,1019,1016,994,993,991,984,982,980,979,1128,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,9,8,7,6,5,4,1823,1821,1820,1812,1717,1716,1618,1580,1579,1569,1535,1534,1413,1412,1411,1410,1407,1406,1405,1401,1396,1375,1344,1343,1323,1322,1298,1297,1292,1282,1236,1235,1210,1208,1207,1145,1144,1143,1142,1141,1106,1079,1078,1077,1076,1075,1064,1040,1030,1026,1006,962,960,948,932,930,906,886,885,880,876,875,832,808,807,806,804,803,801,793,779,778,758,754,753,752,751,750,749,748,746,745,744,743,742,740,739,735,718,712,711,708,707,699,674,673,670,667,607,1788,1725,1613,1545,1532,1531,1414,1325,1321,1257,1662,1266,1012,1822,1811,1810,1795,1794,1576,1441,1380,1379,1378,1377,1376,1355,1354,1303,1290,1232,1231,1179,1175,1147,1129,1105,1070,1014,1013,952,947,946,860,828,827,818,817,797,792,789,777,775,774,773,772,771,770,768,767,766,726,725,724,713,680,679,678,1288,1287,1761,1530,1844,1838,1819,1786,1783,1775,1773,1763,1760,1759,1756,1754,1752,1750,1748,1746,1743,1738,1737,1687,1685,1683,1681,1649,1641,1640,1639,1638,1637,1609,1606,1533,1528,1524,1522,1520,1409,1403,1368,1367,1366,1365,1364,1363,1361,1359,1358,1308,1286,1259,1258,1191,1190,1189,1186,1166,1140,1138,1137,1135,1134,1133,1132,1131,1109,1028,1023,1022,1021,1020,973,881,1646,1645,1644,1643,1636,1635,1634,1560,1557,1555,1554,1553,1552,1551,1550,1549,1547,1314,1196,1195,1194,1193,1192,1744,1705,1704,1667,1666,1665,1664,1659,1658,1657,1489,1416,912,1762,1393,1790,1769,1791,1792,195,193,192,191,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,146,145,144,143,142,141,140,138,137,136,135,134,133,132,131,130,129,128,127,125,124,123,122,119,116,115,114,113,1174,1173,1172,1047,1033,1032,934,891,1805,1831,1491,1516,1771,1342,1338,1780,1829,1081,1439,1438,1392,1391,1390,1389,1388,1387,1381,1336,1267,1293,1268,1216,1215,1214,1150,1149,1090,1726,1082,1304,1218,1217,1152,1151,1740,1542,1538,1486,1346,1319,1108,1062,1060,1059,854,853,823,757,756,710,709,1400,1305,1037,1284,1539])).
% 14.93/14.73 cnf(4087,plain,
% 14.93/14.73 (~P3(a68,f2(a68),x40871)+P3(a68,f21(a12,f7(a12,f58(x40871),a77)),x40871)),
% 14.93/14.73 inference(scs_inference,[],[575,1491])).
% 14.93/14.73 cnf(4089,plain,
% 14.93/14.73 (~P3(a68,f2(a68),x40891)+~P3(a68,f21(a12,f7(a12,f45(f18(a12,a73),f58(x40891)),f45(f18(a12,a73),a77))),f25(a68,f4(a68,f7(a68,f21(a12,f45(f18(a12,a73),a77)),f8(a68,a76))),f14(a68,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),
% 14.93/14.73 inference(scs_inference,[],[575,1831])).
% 14.93/14.73 cnf(4095,plain,
% 14.93/14.73 (E(x40951,f9(a69,f2(a69),x40951))),
% 14.93/14.73 inference(rename_variables,[],[2053])).
% 14.93/14.73 cnf(4097,plain,
% 14.93/14.73 (P3(a1,f7(a1,x40971,f3(a1)),x40971)),
% 14.93/14.73 inference(rename_variables,[],[1877])).
% 14.93/14.73 cnf(4100,plain,
% 14.93/14.73 (P3(a1,f7(a1,x41001,f3(a1)),x41001)),
% 14.93/14.73 inference(rename_variables,[],[1877])).
% 14.93/14.73 cnf(4103,plain,
% 14.93/14.73 (P3(a1,f7(a1,x41031,f3(a1)),x41031)),
% 14.93/14.73 inference(rename_variables,[],[1877])).
% 14.93/14.73 cnf(4106,plain,
% 14.93/14.73 (P3(a1,f7(a1,x41061,f3(a1)),x41061)),
% 14.93/14.73 inference(rename_variables,[],[1877])).
% 14.93/14.73 cnf(4109,plain,
% 14.93/14.73 (~E(x41091,f9(a69,f8(a68,f9(a69,f8(a68,f7(a69,x41091,x41091)),f3(a69))),x41091))),
% 14.93/14.73 inference(rename_variables,[],[2147])).
% 14.93/14.73 cnf(4116,plain,
% 14.93/14.73 (P3(a68,x41161,f9(a68,x41161,f3(a68)))),
% 14.93/14.73 inference(rename_variables,[],[2962])).
% 14.93/14.73 cnf(4117,plain,
% 14.93/14.73 (P2(a68,x41171,x41171)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(4122,plain,
% 14.93/14.73 (P2(a68,x41221,f13(f9(a68,f20(a68,x41222,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x41221,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))),
% 14.93/14.73 inference(rename_variables,[],[567])).
% 14.93/14.73 cnf(4128,plain,
% 14.93/14.73 (~P3(a68,f9(a68,f4(a68,x41281),f3(a68)),x41281)),
% 14.93/14.73 inference(rename_variables,[],[600])).
% 14.93/14.73 cnf(4131,plain,
% 14.93/14.73 (~P3(a68,x41311,x41311)),
% 14.93/14.73 inference(rename_variables,[],[1851])).
% 14.93/14.73 cnf(4140,plain,
% 14.93/14.73 (P3(a1,f7(a1,x41401,f3(a1)),x41401)),
% 14.93/14.73 inference(rename_variables,[],[1877])).
% 14.93/14.73 cnf(4143,plain,
% 14.93/14.73 (P3(a1,x41431,f9(a1,x41431,f3(a1)))),
% 14.93/14.73 inference(rename_variables,[],[1874])).
% 14.93/14.73 cnf(4161,plain,
% 14.93/14.73 (~E(f9(a69,x41611,f9(a69,x41612,f3(a69))),x41612)),
% 14.93/14.73 inference(rename_variables,[],[1914])).
% 14.93/14.73 cnf(4168,plain,
% 14.93/14.73 (~P3(a68,x41681,x41681)),
% 14.93/14.73 inference(rename_variables,[],[1851])).
% 14.93/14.73 cnf(4171,plain,
% 14.93/14.73 (P2(a68,x41711,f13(f9(a68,f20(a68,x41712,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x41711,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))),
% 14.93/14.73 inference(rename_variables,[],[567])).
% 14.93/14.73 cnf(4172,plain,
% 14.93/14.73 (~E(f13(f9(a68,f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x41721,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x41721)),
% 14.93/14.73 inference(rename_variables,[],[2654])).
% 14.93/14.73 cnf(4173,plain,
% 14.93/14.73 (P2(a68,x41731,x41731)),
% 14.93/14.73 inference(rename_variables,[],[434])).
% 14.93/14.73 cnf(4176,plain,
% 14.93/14.73 (P2(a69,f2(a69),x41761)),
% 14.93/14.73 inference(rename_variables,[],[441])).
% 14.93/14.73 cnf(4177,plain,
% 14.93/14.73 (~P2(a69,f9(a69,x41771,f3(a69)),x41771)),
% 14.93/14.73 inference(rename_variables,[],[598])).
% 14.93/14.73 cnf(4178,plain,
% 14.93/14.73 (P2(a69,x41781,f9(a69,x41782,x41781))),
% 14.93/14.73 inference(rename_variables,[],[478])).
% 14.93/14.73 cnf(4181,plain,
% 14.93/14.73 (P3(a1,x41811,f9(a1,x41811,f3(a1)))),
% 14.93/14.73 inference(rename_variables,[],[1874])).
% 14.93/14.73 cnf(4211,plain,
% 14.93/14.73 (~E(f13(f9(a68,f20(a68,x42111,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x42111)),
% 14.93/14.73 inference(rename_variables,[],[2656])).
% 14.93/14.73 cnf(4227,plain,
% 14.93/14.73 (~E(f9(a69,f9(a69,f9(a69,x42271,f3(a69)),f9(a69,x42271,f3(a69))),x42272),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[3578])).
% 14.93/14.74 cnf(4234,plain,
% 14.93/14.74 (P2(a69,x42341,f9(a69,x42342,x42341))),
% 14.93/14.74 inference(rename_variables,[],[478])).
% 14.93/14.74 cnf(4237,plain,
% 14.93/14.74 (P2(a69,f2(a69),x42371)),
% 14.93/14.74 inference(rename_variables,[],[441])).
% 14.93/14.74 cnf(4248,plain,
% 14.93/14.74 (~P3(a69,f9(a69,x42481,f9(a69,x42482,x42483)),x42483)),
% 14.93/14.74 inference(rename_variables,[],[1905])).
% 14.93/14.74 cnf(4249,plain,
% 14.93/14.74 (~E(f9(a69,x42491,f9(a69,f2(a69),f3(a69))),x42491)),
% 14.93/14.74 inference(rename_variables,[],[1928])).
% 14.93/14.74 cnf(4252,plain,
% 14.93/14.74 (~E(f9(a69,x42521,f3(a69)),f2(a69))),
% 14.93/14.74 inference(rename_variables,[],[592])).
% 14.93/14.74 cnf(4253,plain,
% 14.93/14.74 (~E(f9(a69,f9(a69,f9(a69,x42531,f3(a69)),f9(a69,x42531,f3(a69))),x42532),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[3578])).
% 14.93/14.74 cnf(4258,plain,
% 14.93/14.74 (P2(a69,x42581,f9(a69,x42582,x42581))),
% 14.93/14.74 inference(rename_variables,[],[478])).
% 14.93/14.74 cnf(4259,plain,
% 14.93/14.74 (~E(f9(a69,x42591,f9(a69,f2(a69),f3(a69))),x42591)),
% 14.93/14.74 inference(rename_variables,[],[1928])).
% 14.93/14.74 cnf(4262,plain,
% 14.93/14.74 (~E(f13(f9(a68,f20(a68,x42621,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x42621)),
% 14.93/14.74 inference(rename_variables,[],[2656])).
% 14.93/14.74 cnf(4263,plain,
% 14.93/14.74 (~P3(a69,x42631,f2(a69))),
% 14.93/14.74 inference(rename_variables,[],[584])).
% 14.93/14.74 cnf(4275,plain,
% 14.93/14.74 (~P3(a69,x42751,x42751)),
% 14.93/14.74 inference(rename_variables,[],[580])).
% 14.93/14.74 cnf(4280,plain,
% 14.93/14.74 (P2(a68,x42801,x42801)),
% 14.93/14.74 inference(rename_variables,[],[434])).
% 14.93/14.74 cnf(4288,plain,
% 14.93/14.74 (~E(f9(a69,f9(a69,f9(a69,x42881,f3(a69)),f9(a69,x42881,f3(a69))),x42882),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[3578])).
% 14.93/14.74 cnf(4293,plain,
% 14.93/14.74 (~P3(a68,f9(a68,f4(a68,x42931),f3(a68)),x42931)),
% 14.93/14.74 inference(rename_variables,[],[600])).
% 14.93/14.74 cnf(4296,plain,
% 14.93/14.74 (~E(f9(a69,x42961,f9(a69,x42962,f3(a69))),x42962)),
% 14.93/14.74 inference(rename_variables,[],[1914])).
% 14.93/14.74 cnf(4297,plain,
% 14.93/14.74 (~E(f9(a69,x42971,f9(a69,f2(a69),f3(a69))),x42971)),
% 14.93/14.74 inference(rename_variables,[],[1928])).
% 14.93/14.74 cnf(4304,plain,
% 14.93/14.74 (~E(f9(a69,x43041,f3(a69)),x43041)),
% 14.93/14.74 inference(rename_variables,[],[586])).
% 14.93/14.74 cnf(4307,plain,
% 14.93/14.74 (P3(a69,x43071,f9(a69,x43071,f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[484])).
% 14.93/14.74 cnf(4360,plain,
% 14.93/14.74 (E(f9(a69,x43601,f2(a69)),x43601)),
% 14.93/14.74 inference(rename_variables,[],[444])).
% 14.93/14.74 cnf(4363,plain,
% 14.93/14.74 (~P3(a68,x43631,x43631)),
% 14.93/14.74 inference(rename_variables,[],[1851])).
% 14.93/14.74 cnf(4392,plain,
% 14.93/14.74 (E(f9(a1,x43921,x43922),f9(a1,x43922,x43921))),
% 14.93/14.74 inference(rename_variables,[],[465])).
% 14.93/14.74 cnf(4397,plain,
% 14.93/14.74 (~P3(a68,f16(a69,x43971),f2(a68))),
% 14.93/14.74 inference(rename_variables,[],[593])).
% 14.93/14.74 cnf(4402,plain,
% 14.93/14.74 (~P3(a68,x44021,x44021)),
% 14.93/14.74 inference(rename_variables,[],[1851])).
% 14.93/14.74 cnf(4403,plain,
% 14.93/14.74 (P3(a68,x44031,f9(a68,x44031,f3(a68)))),
% 14.93/14.74 inference(rename_variables,[],[2962])).
% 14.93/14.74 cnf(4406,plain,
% 14.93/14.74 (~P3(a68,x44061,x44061)),
% 14.93/14.74 inference(rename_variables,[],[1851])).
% 14.93/14.74 cnf(4407,plain,
% 14.93/14.74 (P3(a68,x44071,f9(a68,x44071,f3(a68)))),
% 14.93/14.74 inference(rename_variables,[],[2962])).
% 14.93/14.74 cnf(4416,plain,
% 14.93/14.74 (P2(a69,x44161,f9(a69,x44162,x44161))),
% 14.93/14.74 inference(rename_variables,[],[478])).
% 14.93/14.74 cnf(4417,plain,
% 14.93/14.74 (P2(a69,f2(a69),x44171)),
% 14.93/14.74 inference(rename_variables,[],[441])).
% 14.93/14.74 cnf(4418,plain,
% 14.93/14.74 (~E(f9(a69,f9(a69,f9(a69,x44181,f3(a69)),f9(a69,x44181,f3(a69))),x44182),f9(a69,f2(a69),f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[3578])).
% 14.93/14.74 cnf(4447,plain,
% 14.93/14.74 (~E(f9(a69,x44471,f3(a69)),x44471)),
% 14.93/14.74 inference(rename_variables,[],[586])).
% 14.93/14.74 cnf(4456,plain,
% 14.93/14.74 (P3(a69,x44561,f9(a69,x44561,f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[484])).
% 14.93/14.74 cnf(4462,plain,
% 14.93/14.74 (~E(x44621,f9(a69,f8(a68,f9(a69,f8(a68,f7(a69,x44621,x44621)),f3(a69))),x44621))),
% 14.93/14.74 inference(rename_variables,[],[2147])).
% 14.93/14.74 cnf(4463,plain,
% 14.93/14.74 (~E(f9(a69,x44631,f3(a69)),x44631)),
% 14.93/14.74 inference(rename_variables,[],[586])).
% 14.93/14.74 cnf(4466,plain,
% 14.93/14.74 (~E(x44661,f9(a69,f8(a68,f9(a69,f8(a68,f7(a69,x44661,x44661)),f3(a69))),x44661))),
% 14.93/14.74 inference(rename_variables,[],[2147])).
% 14.93/14.74 cnf(4467,plain,
% 14.93/14.74 (~E(f9(a69,x44671,f3(a69)),x44671)),
% 14.93/14.74 inference(rename_variables,[],[586])).
% 14.93/14.74 cnf(4510,plain,
% 14.93/14.74 (~P2(a69,f9(a69,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11))),x45101),x45101)),
% 14.93/14.74 inference(rename_variables,[],[2300])).
% 14.93/14.74 cnf(4525,plain,
% 14.93/14.74 (P2(a69,f2(a69),x45251)),
% 14.93/14.74 inference(rename_variables,[],[441])).
% 14.93/14.74 cnf(4529,plain,
% 14.93/14.74 (P2(a1,f2(a1),f20(a1,f4(a1,x45291),x45292))),
% 14.93/14.74 inference(rename_variables,[],[493])).
% 14.93/14.74 cnf(4537,plain,
% 14.93/14.74 (P2(a68,x45371,x45371)),
% 14.93/14.74 inference(rename_variables,[],[434])).
% 14.93/14.74 cnf(4541,plain,
% 14.93/14.74 (~E(f9(a69,x45411,f9(a69,f2(a69),f3(a69))),x45411)),
% 14.93/14.74 inference(rename_variables,[],[1928])).
% 14.93/14.74 cnf(4555,plain,
% 14.93/14.74 (~P3(a68,f9(a68,f4(a68,x45551),f3(a68)),x45551)),
% 14.93/14.74 inference(rename_variables,[],[600])).
% 14.93/14.74 cnf(4562,plain,
% 14.93/14.74 (E(f9(a1,f2(a1),x45621),x45621)),
% 14.93/14.74 inference(rename_variables,[],[445])).
% 14.93/14.74 cnf(4566,plain,
% 14.93/14.74 (P2(a69,f2(a69),x45661)),
% 14.93/14.74 inference(rename_variables,[],[441])).
% 14.93/14.74 cnf(4586,plain,
% 14.93/14.74 (E(f17(f16(a69,x45861)),x45861)),
% 14.93/14.74 inference(rename_variables,[],[425])).
% 14.93/14.74 cnf(4589,plain,
% 14.93/14.74 (P2(a1,x45891,x45891)),
% 14.93/14.74 inference(rename_variables,[],[435])).
% 14.93/14.74 cnf(4592,plain,
% 14.93/14.74 (P2(a1,x45921,x45921)),
% 14.93/14.74 inference(rename_variables,[],[435])).
% 14.93/14.74 cnf(4595,plain,
% 14.93/14.74 (P2(a68,x45951,f13(f9(a68,f20(a68,x45952,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x45951,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))),
% 14.93/14.74 inference(rename_variables,[],[567])).
% 14.93/14.74 cnf(4596,plain,
% 14.93/14.74 (P2(a68,x45961,x45961)),
% 14.93/14.74 inference(rename_variables,[],[434])).
% 14.93/14.74 cnf(4602,plain,
% 14.93/14.74 (~E(f13(f9(a68,f20(a68,x46021,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x46021)),
% 14.93/14.74 inference(rename_variables,[],[2656])).
% 14.93/14.74 cnf(4605,plain,
% 14.93/14.74 (~E(f9(a69,x46051,f3(a69)),x46051)),
% 14.93/14.74 inference(rename_variables,[],[586])).
% 14.93/14.74 cnf(4623,plain,
% 14.93/14.74 (~P3(a69,f9(a69,f7(a69,x46231,x46232),x46232),x46231)),
% 14.93/14.74 inference(rename_variables,[],[1999])).
% 14.93/14.74 cnf(4636,plain,
% 14.93/14.74 (~E(f9(a69,x46361,f3(a69)),x46361)),
% 14.93/14.74 inference(rename_variables,[],[586])).
% 14.93/14.74 cnf(4646,plain,
% 14.93/14.74 (P2(a68,x46461,f13(f9(a68,f20(a68,x46462,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,x46461,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))))),
% 14.93/14.74 inference(rename_variables,[],[567])).
% 14.93/14.74 cnf(4679,plain,
% 14.93/14.74 (P2(a69,f2(a69),x46791)),
% 14.93/14.74 inference(rename_variables,[],[441])).
% 14.93/14.74 cnf(4692,plain,
% 14.93/14.74 (P3(a69,x46921,f9(a69,x46921,f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[484])).
% 14.93/14.74 cnf(4713,plain,
% 14.93/14.74 (P2(a69,x47131,f9(a69,x47132,x47131))),
% 14.93/14.74 inference(rename_variables,[],[478])).
% 14.93/14.74 cnf(4725,plain,
% 14.93/14.74 (P2(a68,x47251,x47251)),
% 14.93/14.74 inference(rename_variables,[],[434])).
% 14.93/14.74 cnf(4728,plain,
% 14.93/14.74 (P2(a68,x47281,x47281)),
% 14.93/14.74 inference(rename_variables,[],[434])).
% 14.93/14.74 cnf(4749,plain,
% 14.93/14.74 (P2(a68,x47491,x47491)),
% 14.93/14.74 inference(rename_variables,[],[434])).
% 14.93/14.74 cnf(4752,plain,
% 14.93/14.74 (~P3(a69,x47521,x47521)),
% 14.93/14.74 inference(rename_variables,[],[580])).
% 14.93/14.74 cnf(4772,plain,
% 14.93/14.74 (~E(f13(f9(a68,f20(a68,x47721,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x47721)),
% 14.93/14.74 inference(rename_variables,[],[2656])).
% 14.93/14.74 cnf(4784,plain,
% 14.93/14.74 (~P3(a68,x47841,f8(a68,f9(a68,f4(a68,f8(a68,x47841)),f3(a68))))),
% 14.93/14.74 inference(rename_variables,[],[2132])).
% 14.93/14.74 cnf(4789,plain,
% 14.93/14.74 (P3(a69,x47891,f9(a69,x47891,f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[484])).
% 14.93/14.74 cnf(4793,plain,
% 14.93/14.74 (E(f17(f16(a69,x47931)),x47931)),
% 14.93/14.74 inference(rename_variables,[],[425])).
% 14.93/14.74 cnf(4798,plain,
% 14.93/14.74 (E(f9(a69,x47981,x47982),f9(a69,x47982,x47981))),
% 14.93/14.74 inference(rename_variables,[],[466])).
% 14.93/14.74 cnf(4800,plain,
% 14.93/14.74 (E(f17(f16(a69,x48001)),x48001)),
% 14.93/14.74 inference(rename_variables,[],[425])).
% 14.93/14.74 cnf(4802,plain,
% 14.93/14.74 (E(f17(f16(a69,x48021)),x48021)),
% 14.93/14.74 inference(rename_variables,[],[425])).
% 14.93/14.74 cnf(4804,plain,
% 14.93/14.74 (~E(f9(a69,x48041,f3(a69)),x48041)),
% 14.93/14.74 inference(rename_variables,[],[586])).
% 14.93/14.74 cnf(4809,plain,
% 14.93/14.74 (P3(a69,x48091,f9(a69,x48091,f3(a69)))),
% 14.93/14.74 inference(rename_variables,[],[484])).
% 14.93/14.74 cnf(4815,plain,
% 14.93/14.74 (~P3(a68,x48151,f8(a68,f9(a68,f4(a68,f8(a68,x48151)),f3(a68))))),
% 14.93/14.74 inference(rename_variables,[],[2132])).
% 14.93/14.74 cnf(4833,plain,
% 14.93/14.74 (~E(f13(f9(a68,f20(a68,x48331,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x48331)),
% 14.93/14.74 inference(rename_variables,[],[2656])).
% 14.93/14.74 cnf(4839,plain,
% 14.93/14.74 (~E(f13(f9(a68,f20(a68,x48391,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x48391)),
% 14.93/14.74 inference(rename_variables,[],[2656])).
% 14.93/14.74 cnf(4842,plain,
% 14.93/14.74 (~E(f13(f9(a68,f20(a68,x48421,f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))),f20(a68,f3(a68),f14(a69,f9(a1,f9(a1,f9(a1,f3(a1),a11),a11),f9(a1,f9(a1,f3(a1),a11),a11)))))),x48421)),
% 14.93/14.74 inference(rename_variables,[],[2656])).
% 14.93/14.74 cnf(4859,plain,
% 14.93/14.74 (~E(f9(a69,x48591,f3(a69)),x48591)),
% 14.93/14.74 inference(rename_variables,[],[586])).
% 14.93/14.74 cnf(4889,plain,
% 14.93/14.74 ($false),
% 14.93/14.74 inference(scs_inference,[],[1850,213,215,220,238,255,302,331,333,343,355,361,374,385,459,421,422,554,541,562,465,4392,466,4798,460,439,425,4586,4793,4800,4802,442,443,444,4360,445,4562,493,4529,533,549,543,566,567,4122,4171,4595,4646,569,573,264,309,310,315,434,4117,4173,4280,4537,4596,4725,4728,4749,435,4589,4592,580,4275,4752,200,209,211,229,239,289,312,330,334,344,348,398,402,441,4176,4237,4417,4525,4566,4679,584,4263,417,478,4178,4234,4258,4416,4713,480,484,4307,4456,4692,4789,4809,598,4177,586,4304,4447,4463,4467,4605,4636,4804,4859,522,600,4128,4293,4555,501,592,4252,494,602,260,262,252,253,313,352,379,389,396,599,197,206,227,230,292,390,391,259,451,201,293,325,265,263,251,326,257,261,537,377,223,232,241,577,557,308,375,581,231,226,593,4397,240,203,376,449,291,222,198,199,202,576,3511,3506,3501,3491,3490,3482,3476,3475,3462,2020,2024,2153,1961,1982,3642,2155,2258,2256,2237,3089,3533,2656,4211,4262,4602,4772,4833,4839,4842,2654,4172,2432,1928,4249,4259,4297,4541,3145,3147,2412,2409,3578,4227,4253,4288,4418,1914,4161,4296,2046,2147,4109,4462,4466,3253,1949,1951,2053,4095,2112,2048,3565,2375,2373,2415,2914,2229,2181,2435,2437,1851,4131,4168,4363,4402,4406,2050,2101,3225,3233,3650,3239,3271,2704,2200,2058,3576,2300,4510,3616,1993,1999,4623,2312,1905,4248,1996,1874,4143,4181,1877,4097,4100,4103,4106,4140,2079,2962,4116,4403,4407,1859,2485,2014,2461,2297,3652,2949,2132,4784,4815,2290,2004,2640,2246,2076,2232,2430,2964,2924,2379,3563,3561,3567,3537,2731,2733,2177,3123,2353,2994,2873,2875,2990,3535,4089,4087,3447,1100,1582,1581,1209,802,112,1124,1642,1212,1204,1203,1202,1201,1199,1198,1118,1073,1731,1654,1653,1651,1505,1504,1503,1804,1185,1757,1736,1707,1574,816,1559,747,741,850,1600,1329,1248,1238,1226,1038,929,719,604,992,991,1401,1299,1031,793,1014,852,829,1526,1174,1173,1172,1056,871,1805,1771,1399,1342,1338,685,675,738,1440,1392,1387,1293,1272,1215,1090,1345,1217,823,757,710,1400,897,845,681,949,834,1182,1110,1089,835,1824,1813,1797,1796,1278,1276,1274,1125,1096,986,783,755,1814,1614,1488,916,821,1709,1490,1840,1835,1562,1561,1384,1383,1320,1211,1039,1563,1694,1767,1764,1197,904,898,1519,1518,1088,722,798,1385,786,1698,1421,1285,1564,1661,1348,1702,1601,1591,1590,1655,1515,1502,1501,1456,1445,1005,1004,1722,995,1847,1830,1710,1302,922,921,862,861,815,717,950,1398,1333,1327,1324,1313,1312,1251,1222,1220,1007,940,1290,1288,938,935,934,893,1388,1218,1538,1086,694,677,1433,1351,1631,684,822,1121,971,1126,723,1423,1596,1588,1587,1009,1482,1479,1474,1452,1003,873,810,809,714,1273,1018,1610,1411,1405,1106,1027,1055,957,734,1081,1620,905,1573,1422,1566,1565,1777,1597,1594,1463,1461,1460,1457,1455,721,1029,1397,1159,965,1420,1568,927,1227,732,1541,1319,854,1435,1095,963,1567,1618,1542,1059,1626,683,859,1465,1464,603,1157,858,998,997,863,1168,1431,1466,953,1224,1017,1042,975,819,994,993,18,14,8,6,1233,1147,789,1356,1527,1525,165,164,147,120,119,117,116,3,844,1369,1386,1780,1650,1391,1390,1267,1337,1268,1807,1726,1082,1304,1740,1346,756,1394,1305,1037,1104,1103,1085,943,896,851,1352,1270,1269,1164,1160,1155,704,1827]),
% 14.93/14.74 ['proof']).
% 14.93/14.74 % SZS output end Proof
% 14.93/14.74 % Total time :13.480000s
%------------------------------------------------------------------------------