TSTP Solution File: ALG373-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 15:59:43 EDT 2023

% Result   : Unsatisfiable 3.14s 3.22s
% Output   : CNFRefutation 3.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34  % Computer : n027.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Mon Aug 28 06:18:36 EDT 2023
% 0.15/0.34  % CPUTime    : 
% 0.19/0.55  start to proof:theBenchmark
% 3.05/3.17  %-------------------------------------------
% 3.05/3.17  % File        :CSE---1.6
% 3.05/3.17  % Problem     :theBenchmark
% 3.05/3.17  % Transform   :cnf
% 3.05/3.17  % Format      :tptp:raw
% 3.05/3.17  % Command     :java -jar mcs_scs.jar %d %s
% 3.05/3.17  
% 3.05/3.17  % Result      :Theorem 2.490000s
% 3.05/3.17  % Output      :CNFRefutation 2.490000s
% 3.05/3.17  %-------------------------------------------
% 3.05/3.18  %------------------------------------------------------------------------------
% 3.05/3.18  % File     : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% 3.05/3.18  % Domain   : General Algebra
% 3.05/3.18  % Problem  : Fundamental theorem of algebra 0393_80
% 3.05/3.18  % Version  : Especial.
% 3.05/3.18  % English  :
% 3.05/3.18  
% 3.05/3.18  % Refs     : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 3.05/3.18  %          : [BN10]  Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 3.05/3.18  % Source   : [Nip10]
% 3.05/3.18  % Names    : Fundamental_Theorem_Algebra-0393_80 [Nip10]
% 3.05/3.18  
% 3.05/3.18  % Status   : Unsatisfiable
% 3.05/3.18  % Rating   : 0.14 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.30 v5.5.0, 0.40 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.47 v5.0.0, 0.36 v4.1.0
% 3.05/3.18  % Syntax   : Number of clauses     :  485 ( 117 unt;  55 nHn; 351 RR)
% 3.05/3.18  %            Number of literals    : 1191 ( 178 equ; 666 neg)
% 3.05/3.18  %            Maximal clause size   :    6 (   2 avg)
% 3.05/3.18  %            Maximal term depth    :    4 (   1 avg)
% 3.05/3.18  %            Number of predicates  :   48 (  47 usr;   0 prp; 1-3 aty)
% 3.05/3.18  %            Number of functors    :   35 (  35 usr;   5 con; 0-3 aty)
% 3.05/3.18  %            Number of variables   : 1015 (  53 sgn)
% 3.05/3.18  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 3.05/3.18  
% 3.05/3.18  % Comments :
% 3.05/3.18  %------------------------------------------------------------------------------
% 3.05/3.18  cnf(cls_mult__right_Opos__bounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(V_x,T_a),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__left_Opos__bounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(V_y,T_a),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_scaleR__right_Opos__bounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1(V_vskULt,V_r,T_a),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult_Opos__bounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(V_vskULn,T_a),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__left_Ononneg__bounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1(V_y,T_a),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__right_Ononneg__bounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1(V_x,T_a),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult_Ononneg__bounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1(V_vskULp,T_a),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_scaleR__right_Ononneg__bounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.18      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1(V_vskULu,V_r,T_a),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_le__number__of__eq__not__less_1,axiom,
% 3.05/3.18      ( ~ class_Orderings_Olinorder(T_a)
% 3.05/3.18      | ~ class_Int_Onumber(T_a)
% 3.05/3.18      | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_le__number__of__eq__not__less_0,axiom,
% 3.05/3.18      ( ~ class_Orderings_Olinorder(T_a)
% 3.05/3.18      | ~ class_Int_Onumber(T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 3.05/3.18      | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_eq__number__of_0,axiom,
% 3.05/3.18      ( ~ class_Int_Oring__char__0(T_a)
% 3.05/3.18      | ~ class_Int_Onumber__ring(T_a)
% 3.05/3.18      | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 3.05/3.18      | V_x = V_y ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__number__of_1,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.05/3.18      | ~ class_Int_Onumber__ring(T_a)
% 3.05/3.18      | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_x,T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_of__real__eq__iff_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 3.05/3.18      | c_RealVector_Oof__real(V_x,T_a) != c_RealVector_Oof__real(V_y,T_a)
% 3.05/3.18      | V_x = V_y ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_norm__eq__zero_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.18      | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.05/3.18      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_no__zero__divirors__neq0_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 3.05/3.18      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.05/3.18      | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 3.05/3.18      | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_no__zero__divisors_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 3.05/3.18      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.05/3.18      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 3.05/3.18      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__eq__0__iff_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 3.05/3.18      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.05/3.18      | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 3.05/3.18      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_real__mult__order_0,axiom,
% 3.05/3.18      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__neg__neg_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__pos__pos_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_zero__less__mult__pos_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_zero__less__mult__pos2_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.05/3.18      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.05/3.18      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_of__real_Ozero_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.18      | ~ class_RealVector_Oreal__algebra__1(T_a)
% 3.05/3.18      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_of__real__0_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 3.05/3.18      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.05/3.18      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.05/3.18      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.05/3.18      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__le__zero__iff_0,axiom,
% 3.05/3.18      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.05/3.18      | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 3.05/3.18      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__of__nonneg_0,axiom,
% 3.05/3.18      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.05/3.18      | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 3.05/3.18      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__mult_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.05/3.18      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__eq__mult_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 3.05/3.18      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 3.05/3.18      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.05/3.18      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__eq__mult_1,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 3.05/3.18      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 3.05/3.18      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.05/3.18      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__eq__mult_2,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 3.05/3.18      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 3.05/3.18      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.05/3.18      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__eq__mult_3,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 3.05/3.18      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 3.05/3.18      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.05/3.18      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_scaleR__right_Ononneg__bounded_1,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_r,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1(V_vskULu,V_r,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_scaleR__right_Opos__bounded_1,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_r,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1(V_vskULt,V_r,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_scaleR__right_Obounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_r,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__XscaleR__right__Xbounded__1__1(V_vskULm,V_r,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__left_Opos__bounded_1,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__right_Ononneg__bounded_1,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1(V_x,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult_Ononneg__bounded_1,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1(V_vskULp,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__right_Obounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1(V_x,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__left_Ononneg__bounded_1,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult_Opos__bounded_1,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(V_vskULn,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__right_Opos__bounded_1,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_K,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(V_x,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult__left_Obounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K,T_a),c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_mult_Obounded_0,axiom,
% 3.05/3.18      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.05/3.18      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1(V_vskULj,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.05/3.18  
% 3.05/3.18  cnf(cls_abs__number__of_0,axiom,
% 3.05/3.18      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.05/3.18      | ~ class_Int_Onumber__ring(T_a)
% 3.05/3.18      | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_abs__le__mult_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 3.05/3.19      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_abs__mult__less_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_class__semiring_Omul__c_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.05/3.19      | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_real__mult__commute_0,axiom,
% 3.05/3.19      c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.05/3.19      | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_abs__eq__0_1,axiom,
% 3.05/3.19      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.05/3.19      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_scaleR__conv__of__real_0,axiom,
% 3.05/3.19      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 3.05/3.19      | c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_r,T_a),V_x,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_real__vector_Oscale__scale_0,axiom,
% 3.05/3.19      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.05/3.19      | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(V_a,V_b,tc_RealDef_Oreal),V_x,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_scaleR_Ozero__right_0,axiom,
% 3.05/3.19      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.19      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_scaleR_Ozero__left_0,axiom,
% 3.05/3.19      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.05/3.19      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_scaleR__eq__0__iff_2,axiom,
% 3.05/3.19      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.05/3.19      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_scaleR__eq__0__iff_1,axiom,
% 3.05/3.19      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.05/3.19      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_abs__of__pos_0,axiom,
% 3.05/3.19      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.05/3.19      | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__strict__right__mono_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__strict__left__mono_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 3.05/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.05/3.19      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_real__mult__less__mono2_0,axiom,
% 3.05/3.19      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 3.05/3.19  
% 3.05/3.19  cnf(cls_real__mult__less__iff1_1,axiom,
% 3.05/3.19      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 3.05/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_real__mult__less__iff1_0,axiom,
% 3.14/3.19      ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__less__iff_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__less__le__imp__less_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.19      | ~ c_lessequals(V_c,V_d,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__le__less__imp__less_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.14/3.19      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__strict__mono_H_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__less__imp__less__right_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__less__imp__less__left_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__right__less__imp__less_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__left__less__imp__less_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__strict__mono_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.19      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__right__le__imp__le_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.19      | c_lessequals(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__left__le__imp__le_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.19      | c_lessequals(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.19      | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.14/3.19      | ~ c_lessequals(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.19      | c_lessequals(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.19      | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.14/3.19      | ~ c_lessequals(V_b,V_a,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.19      | c_lessequals(V_b,V_a,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__ge__self_0,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.19      | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__le__D1_0,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.19      | c_lessequals(V_a,V_b,T_a)
% 3.14/3.19      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__of__neg_0,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.19      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__if_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 3.14/3.19      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__if__lattice_0,axiom,
% 3.14/3.19      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.19      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 3.14/3.19      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 3.14/3.19      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__minus__le__zero_0,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.19      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__of__nonpos_0,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.19      | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 3.14/3.19      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_neg__equal__zero_1,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.14/3.19      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_minus__zero_0,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.19      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_minus__mult__commute_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oring(T_a)
% 3.14/3.19      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.19      | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_abs__minus__cancel_0,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.19      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_minus__mult__minus_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oring(T_a)
% 3.14/3.19      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_square__eq__iff_1,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.14/3.19      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__right_Ominus_0,axiom,
% 3.14/3.19      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.19      | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult_Ominus__right_0,axiom,
% 3.14/3.19      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.19      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult__left_Ominus_0,axiom,
% 3.14/3.19      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.19      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_mult_Ominus__left_0,axiom,
% 3.14/3.19      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.19      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_neg__equal__zero_0,axiom,
% 3.14/3.19      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.14/3.19      | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 3.14/3.19      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_minus__mult__right_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oring(T_a)
% 3.14/3.19      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.14/3.19  
% 3.14/3.19  cnf(cls_minus__mult__left_0,axiom,
% 3.14/3.19      ( ~ class_Ring__and__Field_Oring(T_a)
% 3.14/3.20      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.20      | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.14/3.20      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_square__eq__iff_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 3.14/3.20      | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 3.14/3.20      | V_a = V_b ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_scaleR__minus__right_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.20      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_scaleR_Ominus__right_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.20      | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 3.14/3.20      | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__le__interval__iff_1,axiom,
% 3.14/3.20      ( c_lessequals(V_x,V_r,tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__mult__le__cancel__iff2_1,axiom,
% 3.14/3.20      ( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__mult__le__cancel__iff2_0,axiom,
% 3.14/3.20      ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__mult__le__cancel__iff1_1,axiom,
% 3.14/3.20      ( c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__mult__le__cancel__iff1_0,axiom,
% 3.14/3.20      ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_norm__mult__ineq_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.20      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_norm__le__zero__iff_1,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_norm__le__zero__iff_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 3.14/3.20      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_norm__mult__less_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__less__norm__iff_1,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)
% 3.14/3.20      | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__less__norm__iff_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__abs__def_0,axiom,
% 3.14/3.20      ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__norm__cancel_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__Re__le__cmod_0,axiom,
% 3.14/3.20      c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_less__minus__self__iff_1,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_less__minus__self__iff_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_neg__0__less__iff__less_1,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_neg__0__less__iff__less_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__less__iff_2,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__less__iff_1,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_neg__less__0__iff__less_1,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_neg__less__0__iff__less_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__ge__minus__self_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_neg__less__eq__nonneg_1,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_neg__less__eq__nonneg_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_less__eq__neg__nonpos_1,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.14/3.20      | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_less__eq__neg__nonpos_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.14/3.20      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_minus__le__self__iff_1,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__left__idem_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__le__0__iff_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__le__0__iff_1,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__le__0__iff_2,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__le__0__iff_3,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__neg__pos_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__pos__neg_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__pos__neg2_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__mono1_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__left__mono_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__right__mono_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__left__mono__neg_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__right__mono__neg_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__idem_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_of__real__eq__0__iff_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 3.14/3.20      | c_RealVector_Oof__real(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.14/3.20      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_of__real__mult_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 3.14/3.20      | c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_x,T_a),c_RealVector_Oof__real(V_y,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_split__mult__pos__le_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_split__mult__pos__le_1,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__nonpos__nonpos_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__le__square_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__le__mult__iff_4,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__le__mult__iff_5,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__nonneg__nonneg_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__mult__assoc_0,axiom,
% 3.14/3.20      c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_class__semiring_Omul__a_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__le__mult__iff_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__le__mult__iff_1,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__le__mult__iff_2,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__le__mult__iff_3,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__mono_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(V_c,V_d,T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__mono_H_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.20      | ~ c_lessequals(V_c,V_d,T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__sum__squares__cancel__a_0,axiom,
% 3.14/3.20      ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.20      | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__sum__squares__cancel__a_1,axiom,
% 3.14/3.20      ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.20      | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_poly__bound__exists_0,axiom,
% 3.14/3.20      c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_not__square__less__zero_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__le__0__iff_4,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__le__0__iff_5,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_split__mult__neg__le_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_split__mult__neg__le_1,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__nonneg__nonpos_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__nonpos__nonneg_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.14/3.20      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__le__zero__iff_1,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.20      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_scaleR__eq__0__iff_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.20      | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.14/3.20      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 3.14/3.20      | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult_OscaleR__left_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__left_OscaleR_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult_OscaleR__right_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__right_OscaleR_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__scaleR__left_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__algebra(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__scaleR__right_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__algebra(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_norm__scaleR_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_rabs__ratiotest__lemma_0,axiom,
% 3.14/3.20      ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_c,c_HOL_Oabs__class_Oabs(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.20      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_norm__of__real_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 3.14/3.20      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__idempotent_0,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.20      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_zero__less__abs__iff_1,axiom,
% 3.14/3.20      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.20      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 3.14/3.20      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_scaleR_OscaleR__right_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_scaleR__left__commute_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.20      | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_scaleR__right_OscaleR_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_not__real__square__gt__zero_1,axiom,
% 3.14/3.20      ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_norm__zero_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.20      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_norm__mult_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 3.14/3.20      | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__mult__left__cancel_0,axiom,
% 3.14/3.20      ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)
% 3.14/3.20      | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.14/3.20      | V_a = V_b ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_real__mult__right__cancel_0,axiom,
% 3.14/3.20      ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)
% 3.14/3.20      | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.14/3.20      | V_a = V_b ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_abs__mult__self_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 3.14/3.20      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult__left_Ozero_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.20      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.20  
% 3.14/3.20  cnf(cls_mult_Ozero__left_0,axiom,
% 3.14/3.20      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult_Ozero__right_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__right_Ozero_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_class__semiring_Omul__0_0,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__zero__left_0,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__zero__right_0,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__eq__0__iff_1,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__eq__0__iff_2,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__mult__pos_0,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.14/3.21      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__not__less__zero_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__abs__def_1,axiom,
% 3.14/3.21      ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = V_r
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__if__lattice_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 3.14/3.21      | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__if_1,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 3.14/3.21      | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__eq__0_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.21      | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.14/3.21      | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_zero__less__abs__iff_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_scaleR__cancel__left_1,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.21      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_scaleR__cancel__right_1,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.21      | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_norm__ratiotest__lemma_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.21      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 3.14/3.21      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_scaleR__cancel__left_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.21      | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a)
% 3.14/3.21      | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.14/3.21      | V_x = V_y ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_scaleR__cancel__right_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.21      | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)
% 3.14/3.21      | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 3.14/3.21      | V_a = V_b ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_not__real__square__gt__zero_0,axiom,
% 3.14/3.21      ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 3.14/3.21      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__ge__zero_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_minus__le__self__iff_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_le__minus__self__iff_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_le__minus__self__iff_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_neg__0__le__iff__le_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_neg__0__le__iff__le_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__le__iff_2,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.14/3.21      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__leI_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.14/3.21      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__le__D2_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_neg__le__0__iff__le_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_neg__le__0__iff__le_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_norm__ge__zero_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_norm__not__less__zero_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_of__real_Ominus_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.21      | ~ class_RealVector_Oreal__algebra__1(T_a)
% 3.14/3.21      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_of__real__minus_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 3.14/3.21      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_scaleR__minus__left_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.21      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_scaleR__left_Ominus_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__vector(T_a)
% 3.14/3.21      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_xa,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_scaleR_Ominus__left_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.21      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__le__interval__iff_2,axiom,
% 3.14/3.21      ( c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(V_x,V_r,tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_abs__le__interval__iff_0,axiom,
% 3.14/3.21      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__minus__mult__self__le_0,axiom,
% 3.14/3.21      c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_complex__Re__le__cmod_0,axiom,
% 3.14/3.21      c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_poly__minus_0,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 3.14/3.21      | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_rp_0,axiom,
% 3.14/3.21      c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_calculation_0,axiom,
% 3.14/3.21      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rW8__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
% 3.14/3.21      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mth1_1,axiom,
% 3.14/3.21      c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xmth1__1(v_p,v_r),tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_poly__bound__exists_1,axiom,
% 3.14/3.21      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_mth1_0,axiom,
% 3.14/3.21      c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_xt1_I9_J_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__le__linear_0,axiom,
% 3.14/3.21      ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 3.14/3.21      | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__linear_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | c_lessequals(V_y,V_x,T_a)
% 3.14/3.21      | c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__less__asym_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__less__asym_H_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_xt1_I6_J_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_lessequals(V_z,V_x,T_a)
% 3.14/3.21      | ~ c_lessequals(V_z,V_y,T_a)
% 3.14/3.21      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_xt1_I7_J_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.14/3.21      | ~ c_lessequals(V_z,V_y,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_xt1_I8_J_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.14/3.21      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__trans_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | c_lessequals(V_x,V_z,T_a)
% 3.14/3.21      | ~ c_lessequals(V_y,V_z,T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__less__le__trans_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.14/3.21      | ~ c_lessequals(V_y,V_z,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__le__less__trans_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__le__refl_0,axiom,
% 3.14/3.21      c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__le__trans_0,axiom,
% 3.14/3.21      ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__eq__iff_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_lessequals(V_x,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__eq__refl_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | c_lessequals(V_x,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__less__imp__le_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | c_lessequals(V_x,V_y,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__less__def_0,axiom,
% 3.14/3.21      ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__le__less_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_lessequals(V_x,V_y,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_less__le__not__le_2,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | c_lessequals(V_y,V_x,T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__less__irrefl_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__less__def_1,axiom,
% 3.14/3.21      ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__less__le_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__neq__iff_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_norm__minus__cancel_0,axiom,
% 3.14/3.21      ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.14/3.21      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_RealVector_Onorm__class_Onorm(V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
% 3.14/3.21      c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_xt1_I11_J_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.14/3.21      | V_a = V_b
% 3.14/3.21      | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_xt1_I12_J_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.14/3.21      | ~ c_lessequals(V_b,V_a,T_a)
% 3.14/3.21      | V_a = V_b ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__antisym__conv2_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__antisym__conv1_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__neq__le__trans_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.21      | ~ c_lessequals(V_a,V_b,T_a)
% 3.14/3.21      | V_a = V_b ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__le__neq__trans_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.21      | V_a = V_b
% 3.14/3.21      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__less__def_2,axiom,
% 3.14/3.21      ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__le__less_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__less__le_2,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 3.14/3.21      ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | V_x = V_y ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__antisym__conv3_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__less__linear_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__antisym__conv_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a)
% 3.14/3.21      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__eq__iff_2,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | ~ c_lessequals(V_y,V_x,T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__neqE_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | V_x = V_y ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__antisym_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | V_x = V_y
% 3.14/3.21      | ~ c_lessequals(V_y,V_x,T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_real__le__antisym_0,axiom,
% 3.14/3.21      ( V_z = V_w
% 3.14/3.21      | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_compl__eq__compl__iff_0,axiom,
% 3.14/3.21      ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.14/3.21      | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 3.14/3.21      | V_x = V_y ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_neg__equal__iff__equal_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.21      | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 3.14/3.21      | V_a = V_b ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_neg__less__iff__less_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_neg__less__iff__less_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_neg__le__iff__le_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(V_a,V_b,T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_le__imp__neg__le_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_xt1_I10_J_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Oorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_order__less__trans_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_less__le__not__le_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Opreorder(T_a)
% 3.14/3.21      | ~ c_lessequals(V_y,V_x,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_not__leE_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | c_lessequals(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__antisym__conv2_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_x,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__antisym__conv1_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 3.14/3.21      | c_lessequals(V_x,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__not__less_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.14/3.21      | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__not__less_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | c_lessequals(V_y,V_x,T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__not__le_0,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.14/3.21      | c_lessequals(V_x,V_y,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_linorder__not__le_1,axiom,
% 3.14/3.21      ( ~ class_Orderings_Olinorder(T_a)
% 3.14/3.21      | ~ c_lessequals(V_x,V_y,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_minus__equation__iff_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.21      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_equation__minus__iff_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.21      | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_equation__minus__iff_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.21      | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_double__compl_0,axiom,
% 3.14/3.21      ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.14/3.21      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_minus__minus_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.14/3.21      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_minus__less__iff_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_minus__less__iff_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_less__minus__iff_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_less__minus__iff_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.21      | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_minus__le__iff_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_minus__le__iff_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 3.14/3.21      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_le__minus__iff_1,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_le__minus__iff_0,axiom,
% 3.14/3.21      ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.14/3.21      | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.14/3.21      | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_CHAINED_0,axiom,
% 3.14/3.21      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)
% 3.14/3.21      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
% 3.14/3.21      | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_conjecture_0,negated_conjecture,
% 3.14/3.21      c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(V_xb),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_conjecture_1,negated_conjecture,
% 3.14/3.21      c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_xa(V_xb),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_x(V_xb),tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(cls_conjecture_2,negated_conjecture,
% 3.14/3.21      ~ c_HOL_Oord__class_Oless(v_x(V_xb),V_xb,tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom,
% 3.14/3.21      ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__0,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__semiring__0(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring__1,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 3.14/3.21      class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 3.14/3.21      class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 3.14/3.21      class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 3.14/3.21      class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom,
% 3.14/3.21      class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,axiom,
% 3.14/3.21      class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.14/3.21      class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.14/3.21      class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom,
% 3.14/3.21      class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Olordered__ring,axiom,
% 3.14/3.21      class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom,
% 3.14/3.21      class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 3.14/3.21      class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom,
% 3.14/3.21      class_Ring__and__Field_Omult__mono(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 3.14/3.21      class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oabs__if,axiom,
% 3.14/3.21      class_Ring__and__Field_Oabs__if(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom,
% 3.14/3.21      class_Ring__and__Field_Oring(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 3.14/3.21      class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 3.14/3.21      class_Orderings_Opreorder(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 3.14/3.21      class_Orderings_Olinorder(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 3.14/3.21      class_Orderings_Oorder(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 3.14/3.21      class_Int_Oring__char__0(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 3.14/3.21      class_Int_Onumber__ring(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 3.14/3.21      class_Int_Onumber(tc_Int_Oint) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 3.14/3.21      class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 3.14/3.21      class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 3.14/3.21      class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 3.14/3.21      class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 3.14/3.21      class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 3.14/3.21      class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 3.14/3.21      class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 3.14/3.21      class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 3.14/3.21      class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.14/3.21      class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 3.14/3.21      class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.14/3.21      class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 3.14/3.21      class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 3.14/3.21      class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 3.14/3.21      class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 3.14/3.21      class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 3.14/3.21      class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 3.14/3.21      class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 3.14/3.21      class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 3.14/3.21      class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom,
% 3.14/3.21      class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom,
% 3.14/3.21      class_RealVector_Oreal__vector(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 3.14/3.21      class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 3.14/3.21      class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 3.14/3.21      class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 3.14/3.21      class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 3.14/3.21      class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 3.14/3.21      class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 3.14/3.21      class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 3.14/3.21      class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 3.14/3.21      class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_RealDef__Oreal__Int_Onumber,axiom,
% 3.14/3.21      class_Int_Onumber(tc_RealDef_Oreal) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 3.14/3.21      class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 3.14/3.21      class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 3.14/3.21      class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.14/3.21      class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 3.14/3.21      class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.14/3.21      class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 3.14/3.21      class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
% 3.14/3.21      class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 3.14/3.21      class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
% 3.14/3.21      class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom,
% 3.14/3.21      class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom,
% 3.14/3.21      class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 3.14/3.21      class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 3.14/3.21      class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 3.14/3.21      class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 3.14/3.21      class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 3.14/3.21      class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Complex__Ocomplex__Int_Onumber,axiom,
% 3.14/3.21      class_Int_Onumber(tc_Complex_Ocomplex) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 3.14/3.21      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom,
% 3.14/3.21      ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom,
% 3.14/3.21      ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.14/3.21      ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom,
% 3.14/3.21      ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom,
% 3.14/3.21      ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 3.14/3.21      ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 3.14/3.21      ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 3.14/3.21      ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))
% 3.14/3.21      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.21  
% 3.14/3.21  cnf(clsarity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 3.14/3.21      ( class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1))
% 3.14/3.22      | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.14/3.22  
% 3.14/3.22  cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 3.14/3.22      ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))
% 3.14/3.22      | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 3.14/3.22  
% 3.14/3.22  cnf(clsarity_Polynomial__Opoly__Int_Onumber,axiom,
% 3.14/3.22      ( class_Int_Onumber(tc_Polynomial_Opoly(T_1))
% 3.14/3.22      | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 3.14/3.22  
% 3.14/3.22  %------------------------------------------------------------------------------
% 3.14/3.22  %-------------------------------------------
% 3.14/3.22  % Proof found
% 3.14/3.22  % SZS status Theorem for theBenchmark
% 3.14/3.22  % SZS output start Proof
% 3.14/3.22  %ClaNum:599(EqnAxiom:114)
% 3.14/3.22  %VarNum:2592(SingletonVarNum:852)
% 3.14/3.22  %MaxLitNum:6
% 3.14/3.22  %MaxfuncDepth:3
% 3.14/3.22  %SharedTerms:122
% 3.14/3.22  %goalClause: 220 224 230
% 3.14/3.22  %singleGoalClaCount:3
% 3.14/3.22  [115]P1(a1)
% 3.14/3.22  [116]P1(a2)
% 3.14/3.22  [117]P22(a1)
% 3.14/3.22  [118]P22(a2)
% 3.14/3.22  [119]P2(a1)
% 3.14/3.22  [120]P2(a26)
% 3.14/3.22  [121]P3(a1)
% 3.14/3.22  [122]P3(a2)
% 3.14/3.22  [123]P3(a26)
% 3.14/3.22  [124]P6(a1)
% 3.14/3.22  [125]P6(a2)
% 3.14/3.22  [126]P6(a26)
% 3.14/3.22  [127]P7(a1)
% 3.14/3.22  [128]P7(a2)
% 3.14/3.22  [129]P7(a26)
% 3.14/3.22  [130]P25(a1)
% 3.14/3.22  [131]P25(a26)
% 3.14/3.22  [132]P18(a1)
% 3.14/3.22  [133]P18(a2)
% 3.14/3.22  [134]P26(a1)
% 3.14/3.22  [135]P26(a2)
% 3.14/3.22  [136]P26(a26)
% 3.14/3.22  [137]P39(a1)
% 3.14/3.22  [138]P39(a2)
% 3.14/3.22  [139]P39(a26)
% 3.14/3.22  [140]P40(a1)
% 3.14/3.22  [141]P40(a26)
% 3.14/3.22  [142]P41(a1)
% 3.14/3.22  [143]P41(a26)
% 3.14/3.22  [144]P27(a1)
% 3.14/3.22  [145]P27(a2)
% 3.14/3.22  [146]P27(a26)
% 3.14/3.22  [147]P8(a1)
% 3.14/3.22  [148]P8(a26)
% 3.14/3.22  [149]P43(a1)
% 3.14/3.22  [150]P43(a26)
% 3.14/3.22  [151]P33(a1)
% 3.14/3.22  [152]P33(a26)
% 3.14/3.22  [153]P28(a1)
% 3.14/3.22  [154]P28(a2)
% 3.14/3.22  [155]P38(a1)
% 3.14/3.22  [156]P38(a26)
% 3.14/3.22  [157]P42(a1)
% 3.14/3.22  [158]P42(a26)
% 3.14/3.22  [159]P29(a1)
% 3.14/3.22  [160]P29(a26)
% 3.14/3.22  [161]P9(a1)
% 3.14/3.22  [162]P9(a26)
% 3.14/3.22  [163]P16(a1)
% 3.14/3.22  [164]P16(a26)
% 3.14/3.22  [165]P10(a1)
% 3.14/3.22  [166]P10(a2)
% 3.14/3.22  [167]P10(a26)
% 3.14/3.22  [168]P46(a1)
% 3.14/3.22  [169]P46(a2)
% 3.14/3.22  [170]P46(a26)
% 3.14/3.22  [171]P34(a1)
% 3.14/3.22  [172]P34(a2)
% 3.14/3.22  [173]P34(a26)
% 3.14/3.22  [174]P17(a1)
% 3.14/3.22  [175]P17(a26)
% 3.14/3.22  [176]P15(a1)
% 3.14/3.22  [177]P15(a26)
% 3.14/3.22  [178]P35(a1)
% 3.14/3.22  [179]P35(a26)
% 3.14/3.22  [180]P36(a1)
% 3.14/3.22  [181]P36(a26)
% 3.14/3.22  [182]P44(a1)
% 3.14/3.22  [183]P44(a26)
% 3.14/3.22  [184]P45(a1)
% 3.14/3.22  [185]P45(a26)
% 3.14/3.22  [186]P11(a1)
% 3.14/3.22  [187]P11(a2)
% 3.14/3.22  [188]P11(a26)
% 3.14/3.22  [189]P47(a1)
% 3.14/3.22  [190]P47(a26)
% 3.14/3.22  [191]P19(a1)
% 3.14/3.22  [192]P19(a2)
% 3.14/3.22  [193]P23(a1)
% 3.14/3.22  [194]P23(a2)
% 3.14/3.22  [195]P24(a1)
% 3.14/3.22  [196]P24(a2)
% 3.14/3.22  [197]P37(a1)
% 3.14/3.22  [198]P37(a2)
% 3.14/3.22  [199]P37(a26)
% 3.14/3.22  [200]P30(a1)
% 3.14/3.22  [201]P30(a2)
% 3.14/3.22  [202]P30(a26)
% 3.14/3.22  [203]P20(a1)
% 3.14/3.22  [204]P20(a26)
% 3.14/3.22  [205]P21(a1)
% 3.14/3.22  [206]P21(a26)
% 3.14/3.22  [207]P31(a1)
% 3.14/3.22  [208]P31(a2)
% 3.14/3.22  [209]P31(a26)
% 3.14/3.22  [210]P12(a1)
% 3.14/3.22  [211]P12(a2)
% 3.14/3.22  [212]P12(a26)
% 3.14/3.22  [213]P32(a1)
% 3.14/3.22  [214]P32(a2)
% 3.14/3.22  [215]P32(a26)
% 3.14/3.22  [217]P4(f3(a1),a28,a1)
% 3.14/3.22  [223]P4(f9(f32(a29,a28),a2),a28,a1)
% 3.14/3.22  [231]~P5(f3(a1),f5(f3(a1),f3(a1),a1),a1)
% 3.14/3.22  [226]E(f9(f10(a29,f32(a29,a28),a2),a2),f8(f33(a29,a28),a1))
% 3.14/3.22  [216]P4(x2161,x2161,a1)
% 3.14/3.22  [229]~P5(x2291,x2291,a1)
% 3.14/3.22  [218]P4(f4(x2181),f9(x2181,a2),a1)
% 3.14/3.22  [230]~P5(f34(x2301),x2301,a1)
% 3.14/3.22  [220]P4(f9(f31(x2201),a2),a28,a1)
% 3.14/3.22  [222]P4(f6(f4(x2221),a1),f9(x2221,a2),a1)
% 3.14/3.22  [225]P4(f8(f9(x2251,a2),a1),f9(x2251,a2),a1)
% 3.14/3.22  [224]E(f9(f10(a29,f31(x2241),a2),a2),f8(f34(x2241),a1))
% 3.14/3.22  [219]P5(f3(a1),f30(x2191,x2192),a1)
% 3.14/3.22  [221]E(f5(x2211,x2212,a1),f5(x2212,x2211,a1))
% 3.14/3.22  [228]P4(f8(f5(x2281,x2281,a1),a1),f5(x2282,x2282,a1),a1)
% 3.14/3.22  [227]E(f5(f5(x2271,x2272,a1),x2273,a1),f5(x2271,f5(x2272,x2273,a1),a1))
% 3.14/3.22  [232]~P25(x2321)+P2(f27(x2321))
% 3.14/3.22  [233]~P32(x2331)+P3(f27(x2331))
% 3.14/3.22  [234]~P25(x2341)+P6(f27(x2341))
% 3.14/3.22  [235]~P32(x2351)+P7(f27(x2351))
% 3.14/3.22  [236]~P25(x2361)+P25(f27(x2361))
% 3.14/3.22  [237]~P34(x2371)+P26(f27(x2371))
% 3.14/3.22  [238]~P34(x2381)+P39(f27(x2381))
% 3.14/3.22  [239]~P25(x2391)+P40(f27(x2391))
% 3.14/3.22  [240]~P25(x2401)+P41(f27(x2401))
% 3.14/3.22  [241]~P27(x2411)+P27(f27(x2411))
% 3.14/3.22  [242]~P25(x2421)+P8(f27(x2421))
% 3.14/3.22  [243]~P25(x2431)+P43(f27(x2431))
% 3.14/3.22  [244]~P25(x2441)+P38(f27(x2441))
% 3.14/3.22  [245]~P25(x2451)+P42(f27(x2451))
% 3.14/3.22  [246]~P25(x2461)+P29(f27(x2461))
% 3.14/3.22  [247]~P25(x2471)+P16(f27(x2471))
% 3.14/3.22  [248]~P12(x2481)+P10(f27(x2481))
% 3.14/3.22  [249]~P30(x2491)+P46(f27(x2491))
% 3.14/3.22  [250]~P34(x2501)+P34(f27(x2501))
% 3.14/3.22  [251]~P25(x2511)+P17(f27(x2511))
% 3.14/3.22  [252]~P25(x2521)+P35(f27(x2521))
% 3.14/3.22  [253]~P25(x2531)+P36(f27(x2531))
% 3.14/3.22  [254]~P25(x2541)+P44(f27(x2541))
% 3.14/3.22  [255]~P25(x2551)+P45(f27(x2551))
% 3.14/3.22  [256]~P31(x2561)+P11(f27(x2561))
% 3.14/3.22  [257]~P25(x2571)+P47(f27(x2571))
% 3.14/3.22  [258]~P31(x2581)+P37(f27(x2581))
% 3.14/3.22  [259]~P30(x2591)+P30(f27(x2591))
% 3.14/3.22  [260]~P25(x2601)+P20(f27(x2601))
% 3.14/3.22  [261]~P25(x2611)+P21(f27(x2611))
% 3.14/3.22  [262]~P31(x2621)+P31(f27(x2621))
% 3.14/3.22  [263]~P12(x2631)+P12(f27(x2631))
% 3.14/3.22  [264]~P32(x2641)+P32(f27(x2641))
% 3.14/3.22  [297]E(f6(x2971,a1),x2971)+P5(x2971,f3(a1),a1)
% 3.14/3.22  [336]E(f8(x3361,a1),f6(x3361,a1))+~P5(x3361,f3(a1),a1)
% 3.14/3.22  [379]E(x3791,f3(a1))+P5(f3(a1),f5(x3791,x3791,a1),a1)
% 3.14/3.22  [265]~P18(x2651)+E(f12(f3(a1),x2651),f3(x2651))
% 3.14/3.22  [266]~P22(x2661)+E(f9(f3(x2661),x2661),f3(a1))
% 3.14/3.22  [268]~P8(x2681)+E(f6(f3(x2681),x2681),f3(x2681))
% 3.14/3.22  [269]~P16(x2691)+E(f8(f3(x2691),x2691),f3(x2691))
% 3.14/3.22  [270]~P10(x2701)+E(f8(f3(x2701),x2701),f3(x2701))
% 3.14/3.22  [329]~P22(x3291)+P4(f9(f3(x3291),x3291),f3(a1),a1)
% 3.14/3.22  [330]~P8(x3301)+P4(f6(f3(x3301),x3301),f3(x3301),x3301)
% 3.14/3.22  [377]~P22(x3771)+~P5(f3(a1),f9(f3(x3771),x3771),a1)
% 3.14/3.22  [378]~P8(x3781)+~P5(f3(x3781),f6(f3(x3781),x3781),x3781)
% 3.14/3.22  [292]~P20(x2922)+P4(x2921,x2921,x2922)
% 3.14/3.22  [293]~P21(x2932)+P4(x2931,x2931,x2932)
% 3.14/3.22  [323]~P5(x3232,x3232,x3231)+~P2(x3231)
% 3.14/3.22  [324]~P5(x3242,x3242,x3241)+~P20(x3241)
% 3.14/3.22  [325]~P5(x3252,x3252,x3251)+~P21(x3251)
% 3.14/3.22  [331]P4(x3312,x3311,a1)+P4(x3311,x3312,a1)
% 3.14/3.22  [358]~P5(x3581,x3582,a1)+P4(x3581,x3582,a1)
% 3.14/3.22  [294]~P14(x2942)+E(f5(x2941,x2941,x2942),x2941)
% 3.14/3.22  [313]~P8(x3132)+P4(x3131,f6(x3131,x3132),x3132)
% 3.14/3.22  [314]~P1(x3142)+P5(f3(a1),f14(x3141,x3142),a1)
% 3.14/3.22  [315]~P1(x3152)+P5(f3(a1),f15(x3151,x3152),a1)
% 3.14/3.22  [316]~P1(x3162)+P5(f3(a1),f16(x3161,x3162),a1)
% 3.14/3.22  [317]~P1(x3172)+P4(f3(a1),f19(x3171,x3172),a1)
% 3.14/3.22  [318]~P1(x3182)+P4(f3(a1),f21(x3181,x3182),a1)
% 3.14/3.22  [319]~P1(x3192)+P4(f3(a1),f17(x3191,x3192),a1)
% 3.14/3.22  [320]~P22(x3202)+P4(f3(a1),f9(x3201,x3202),a1)
% 3.14/3.22  [326]~P8(x3261)+P4(f3(x3261),f6(x3262,x3261),x3261)
% 3.14/3.22  [337]~P8(x3372)+P4(f8(x3371,x3372),f6(x3371,x3372),x3372)
% 3.14/3.22  [357]~P22(x3571)+~P5(f9(x3572,x3571),f3(a1),a1)
% 3.14/3.22  [363]~P8(x3631)+~P5(f6(x3632,x3631),f3(x3631),x3631)
% 3.14/3.22  [389]P4(x3891,x3892,a1)+~P4(f6(x3891,a1),x3892,a1)
% 3.14/3.22  [390]~P40(x3901)+P4(f3(x3901),f5(x3902,x3902,x3901),x3901)
% 3.14/3.22  [420]~P4(f6(x4202,a1),x4201,a1)+P4(f8(x4201,a1),x4202,a1)
% 3.14/3.22  [471]~P40(x4711)+~P5(f5(x4712,x4712,x4711),f3(x4711),x4711)
% 3.14/3.22  [281]~P10(x2812)+E(f8(f8(x2811,x2812),x2812),x2811)
% 3.14/3.22  [282]~P13(x2822)+E(f8(f8(x2821,x2822),x2822),x2821)
% 3.14/3.22  [286]~P23(x2862)+E(f9(f12(x2861,x2862),x2862),f6(x2861,a1))
% 3.14/3.22  [287]~P22(x2872)+E(f6(f9(x2871,x2872),a1),f9(x2871,x2872))
% 3.14/3.22  [289]~P8(x2892)+E(f6(f6(x2891,x2892),x2892),f6(x2891,x2892))
% 3.14/3.22  [290]~P8(x2902)+E(f6(f8(x2901,x2902),x2902),f6(x2901,x2902))
% 3.14/3.22  [291]~P22(x2912)+E(f9(f8(x2911,x2912),x2912),f9(x2911,x2912))
% 3.14/3.22  [295]~P22(x2952)+E(f13(f3(a1),x2951,x2952),f3(x2952))
% 3.14/3.22  [296]~P28(x2962)+E(f13(f3(a1),x2961,x2962),f3(x2962))
% 3.14/3.22  [299]~P1(x2992)+E(f5(x2991,f3(x2992),x2992),f3(x2992))
% 3.14/3.22  [300]~P39(x3002)+E(f5(x3001,f3(x3002),x3002),f3(x3002))
% 3.14/3.22  [301]~P27(x3012)+E(f5(x3011,f3(x3012),x3012),f3(x3012))
% 3.14/3.22  [302]~P37(x3022)+E(f5(x3021,f3(x3022),x3022),f3(x3022))
% 3.14/3.22  [303]~P22(x3032)+E(f13(x3031,f3(x3032),x3032),f3(x3032))
% 3.14/3.22  [304]~P28(x3042)+E(f13(x3041,f3(x3042),x3042),f3(x3042))
% 3.14/3.22  [306]~P1(x3061)+E(f5(f3(x3061),x3062,x3061),f3(x3061))
% 3.14/3.22  [307]~P39(x3071)+E(f5(f3(x3071),x3072,x3071),f3(x3071))
% 3.14/3.22  [309]~P27(x3091)+E(f5(f3(x3091),x3092,x3091),f3(x3091))
% 3.14/3.22  [310]~P37(x3101)+E(f5(f3(x3101),x3102,x3101),f3(x3101))
% 3.14/3.22  [312]~P18(x3122)+E(f12(f8(x3121,a1),x3122),f8(f12(x3121,x3122),x3122))
% 3.14/3.22  [364]~P8(x3642)+P4(f8(f6(x3641,x3642),x3642),f3(x3642),x3642)
% 3.14/3.22  [381]~P25(x3812)+E(f5(f6(x3811,x3812),f6(x3811,x3812),x3812),f5(x3811,x3811,x3812))
% 3.14/3.22  [383]~P34(x3832)+E(f5(f8(x3831,x3832),f8(x3831,x3832),x3832),f5(x3831,x3831,x3832))
% 3.14/3.22  [469]E(x4691,f3(a1))+~E(f5(x4692,x4692,a1),f8(f5(x4691,x4691,a1),a1))
% 3.14/3.22  [470]E(x4701,f3(a1))+~E(f5(x4701,x4701,a1),f8(f5(x4702,x4702,a1),a1))
% 3.14/3.22  [339]~P27(x3393)+E(f5(x3391,x3392,x3393),f5(x3392,x3391,x3393))
% 3.14/3.22  [385]~P22(x3853)+P5(f3(a1),f23(x3851,x3852,x3853),a1)
% 3.14/3.22  [386]~P22(x3863)+P4(f3(a1),f24(x3861,x3862,x3863),a1)
% 3.14/3.22  [352]~P28(x3522)+E(f13(f3(a1),x3521,x3522),f13(f3(a1),x3523,x3522))
% 3.14/3.22  [353]~P28(x3532)+E(f13(x3531,f3(x3532),x3532),f13(x3533,f3(x3532),x3532))
% 3.14/3.22  [362]~P18(x3622)+E(f5(f12(x3621,x3622),x3623,x3622),f13(x3621,x3623,x3622))
% 3.14/3.22  [380]~P46(x3802)+E(f5(f8(x3801,x3802),x3803,x3802),f5(x3801,f8(x3803,x3802),x3802))
% 3.14/3.22  [382]~P46(x3822)+E(f5(f8(x3821,x3822),f8(x3823,x3822),x3822),f5(x3821,x3823,x3822))
% 3.14/3.22  [429]~P22(x4293)+E(f13(f8(x4291,a1),x4292,x4293),f8(f13(x4291,x4292,x4293),x4293))
% 3.14/3.22  [431]~P28(x4313)+E(f13(f8(x4311,a1),x4312,x4313),f8(f13(x4311,x4312,x4313),x4313))
% 3.14/3.22  [432]~P46(x4323)+E(f5(x4321,f8(x4322,x4323),x4323),f8(f5(x4321,x4322,x4323),x4323))
% 3.14/3.22  [433]~P46(x4332)+E(f5(f8(x4331,x4332),x4333,x4332),f8(f5(x4331,x4333,x4332),x4332))
% 3.14/3.22  [435]~P1(x4353)+E(f5(x4351,f8(x4352,x4353),x4353),f8(f5(x4351,x4352,x4353),x4353))
% 3.14/3.22  [436]~P22(x4363)+E(f13(x4361,f8(x4362,x4363),x4363),f8(f13(x4361,x4362,x4363),x4363))
% 3.14/3.22  [437]~P28(x4373)+E(f13(x4371,f8(x4372,x4373),x4373),f8(f13(x4371,x4372,x4373),x4373))
% 3.14/3.22  [439]~P1(x4392)+E(f5(f8(x4391,x4392),x4393,x4392),f8(f5(x4391,x4393,x4392),x4392))
% 3.14/3.22  [452]~P14(x4523)+E(f5(x4521,f5(x4521,x4522,x4523),x4523),f5(x4521,x4522,x4523))
% 3.14/3.22  [454]~P22(x4543)+E(f9(f13(x4541,x4542,x4543),x4543),f5(f6(x4541,a1),f9(x4542,x4543),a1))
% 3.14/3.22  [458]~P18(x4582)+E(f5(f12(x4581,x4582),f12(x4583,x4582),x4582),f12(f5(x4581,x4583,a1),x4582))
% 3.14/3.22  [459]~P24(x4592)+E(f5(f9(x4591,x4592),f9(x4593,x4592),a1),f9(f5(x4591,x4593,x4592),x4592))
% 3.14/3.22  [460]~P25(x4602)+E(f5(f6(x4601,x4602),f6(x4603,x4602),x4602),f6(f5(x4601,x4603,x4602),x4602))
% 3.14/3.22  [528]~P4(f9(x5282,a2),x5283,a1)+P4(f9(f10(x5281,x5282,a2),a2),f30(x5281,x5283),a1)
% 3.14/3.22  [553]~P1(x5533)+P4(f9(f5(x5531,x5532,x5533),x5533),f5(f9(x5532,x5533),f14(x5531,x5533),a1),a1)
% 3.14/3.22  [554]~P1(x5543)+P4(f9(f5(x5541,x5542,x5543),x5543),f5(f9(x5542,x5543),f21(x5541,x5543),a1),a1)
% 3.14/3.22  [555]~P1(x5553)+P4(f9(f5(x5551,x5552,x5553),x5553),f5(f9(x5552,x5553),f22(x5551,x5553),a1),a1)
% 3.14/3.22  [556]~P1(x5563)+P4(f9(f5(x5561,x5562,x5563),x5563),f5(f9(x5561,x5563),f15(x5562,x5563),a1),a1)
% 3.14/3.22  [557]~P1(x5573)+P4(f9(f5(x5571,x5572,x5573),x5573),f5(f9(x5571,x5573),f19(x5572,x5573),a1),a1)
% 3.14/3.22  [558]~P1(x5583)+P4(f9(f5(x5581,x5582,x5583),x5583),f5(f9(x5581,x5583),f9(x5582,x5583),a1),a1)
% 3.14/3.22  [559]~P1(x5593)+P4(f9(f5(x5591,x5592,x5593),x5593),f5(f9(x5591,x5593),f20(x5592,x5593),a1),a1)
% 3.14/3.22  [560]~P33(x5603)+P4(f6(f5(x5601,x5602,x5603),x5603),f5(f6(x5601,x5603),f6(x5602,x5603),x5603),x5603)
% 3.14/3.22  [450]~P30(x4502)+E(f10(f8(x4501,f27(x4502)),x4503,x4502),f8(f10(x4501,x4503,x4502),x4502))
% 3.14/3.22  [477]~P28(x4774)+E(f13(x4771,f13(x4772,x4773,x4774),x4774),f13(f5(x4771,x4772,a1),x4773,x4774))
% 3.14/3.22  [478]~P27(x4784)+E(f5(x4781,f5(x4782,x4783,x4784),x4784),f5(x4782,f5(x4781,x4783,x4784),x4784))
% 3.14/3.22  [480]~P1(x4804)+E(f13(x4801,f5(x4802,x4803,x4804),x4804),f5(x4802,f13(x4801,x4803,x4804),x4804))
% 3.14/3.22  [481]~P19(x4814)+E(f13(x4811,f5(x4812,x4813,x4814),x4814),f5(x4812,f13(x4811,x4813,x4814),x4814))
% 3.14/3.22  [483]~P22(x4834)+E(f13(x4831,f13(x4832,x4833,x4834),x4834),f13(x4832,f13(x4831,x4833,x4834),x4834))
% 3.14/3.22  [484]~P28(x4844)+E(f13(x4841,f13(x4842,x4843,x4844),x4844),f13(x4842,f13(x4841,x4843,x4844),x4844))
% 3.14/3.22  [487]~P27(x4873)+E(f5(f5(x4871,x4872,x4873),x4874,x4873),f5(x4871,f5(x4872,x4874,x4873),x4873))
% 3.14/3.22  [488]~P11(x4883)+E(f5(f5(x4881,x4882,x4883),x4884,x4883),f5(x4881,f5(x4882,x4884,x4883),x4883))
% 3.14/3.22  [490]~P1(x4904)+E(f13(x4901,f5(x4902,x4903,x4904),x4904),f5(f13(x4901,x4902,x4904),x4903,x4904))
% 3.14/3.22  [491]~P19(x4914)+E(f13(x4911,f5(x4912,x4913,x4914),x4914),f5(f13(x4911,x4912,x4914),x4913,x4914))
% 3.14/3.22  [492]~P27(x4923)+E(f5(f5(x4921,x4922,x4923),x4924,x4923),f5(f5(x4921,x4924,x4923),x4922,x4923))
% 3.14/3.22  [593]~P22(x5933)+P4(f9(f13(x5931,x5932,x5933),x5933),f5(f9(x5932,x5933),f23(x5934,x5931,x5933),a1),a1)
% 3.14/3.22  [594]~P22(x5943)+P4(f9(f13(x5941,x5942,x5943),x5943),f5(f9(x5942,x5943),f24(x5944,x5941,x5943),a1),a1)
% 3.14/3.22  [595]~P22(x5953)+P4(f9(f13(x5951,x5952,x5953),x5953),f5(f9(x5952,x5953),f25(x5954,x5951,x5953),a1),a1)
% 3.14/3.22  [597]~P1(x5973)+P4(f9(f5(x5971,x5972,x5973),x5973),f5(f5(f9(x5971,x5973),f9(x5972,x5973),a1),f16(x5974,x5973),a1),a1)
% 3.14/3.22  [598]~P1(x5983)+P4(f9(f5(x5981,x5982,x5983),x5983),f5(f5(f9(x5981,x5983),f9(x5982,x5983),a1),f17(x5984,x5983),a1),a1)
% 3.14/3.22  [599]~P1(x5993)+P4(f9(f5(x5991,x5992,x5993),x5993),f5(f5(f9(x5991,x5993),f9(x5992,x5993),a1),f18(x5994,x5993),a1),a1)
% 3.14/3.22  [563]~P27(x5633)+E(f5(f5(x5631,x5632,x5633),f5(x5634,x5635,x5633),x5633),f5(f5(x5631,x5634,x5633),f5(x5632,x5635,x5633),x5633))
% 3.14/3.22  [360]E(x3601,x3602)+P5(x3601,x3602,a1)+~P4(x3601,x3602,a1)
% 3.14/3.22  [384]E(x3841,x3842)+~P4(x3842,x3841,a1)+~P4(x3841,x3842,a1)
% 3.14/3.22  [272]~P16(x2722)+~E(f8(x2721,x2722),x2721)+E(x2721,f3(x2722))
% 3.14/3.22  [273]~P22(x2732)+E(x2731,f3(x2732))+~E(f9(x2731,x2732),f3(a1))
% 3.14/3.22  [274]~P18(x2742)+~E(f12(x2741,x2742),f3(x2742))+E(x2741,f3(a1))
% 3.14/3.22  [275]~P8(x2752)+~E(f6(x2751,x2752),f3(x2752))+E(x2751,f3(x2752))
% 3.14/3.22  [276]~P10(x2762)+~E(f8(x2761,x2762),f3(x2762))+E(x2761,f3(x2762))
% 3.14/3.22  [277]~P10(x2771)+~E(f8(x2772,x2771),f3(x2771))+E(f3(x2771),x2772)
% 3.14/3.22  [311]~P29(x3112)+P5(x3111,f3(x3112),x3112)+E(f6(x3111,x3112),x3111)
% 3.14/3.22  [327]~P22(x3272)+E(x3271,f3(x3272))+P5(f3(a1),f9(x3271,x3272),a1)
% 3.14/3.22  [328]~P8(x3282)+P5(f3(x3282),f6(x3281,x3282),x3282)+E(x3281,f3(x3282))
% 3.14/3.22  [345]~P8(x3452)+~P5(f3(x3452),x3451,x3452)+E(f6(x3451,x3452),x3451)
% 3.14/3.22  [346]~P8(x3462)+~P4(f3(x3462),x3461,x3462)+E(f6(x3461,x3462),x3461)
% 3.14/3.22  [354]~P8(x3542)+~P5(x3541,f3(x3542),x3542)+E(f8(x3541,x3542),f6(x3541,x3542))
% 3.14/3.22  [355]~P8(x3552)+~P4(x3551,f3(x3552),x3552)+E(f8(x3551,x3552),f6(x3551,x3552))
% 3.14/3.22  [356]~P29(x3562)+~P5(x3561,f3(x3562),x3562)+E(f8(x3561,x3562),f6(x3561,x3562))
% 3.14/3.22  [361]~P22(x3612)+E(x3611,f3(x3612))+~P4(f9(x3611,x3612),f3(a1),a1)
% 3.14/3.22  [367]~P8(x3672)+~P4(f6(x3671,x3672),f3(x3672),x3672)+E(x3671,f3(x3672))
% 3.14/3.22  [402]~P25(x4022)+~P5(x4021,f3(x4022),x4022)+P5(x4021,f8(x4021,x4022),x4022)
% 3.14/3.22  [403]~P16(x4032)+~P4(x4031,f3(x4032),x4032)+P4(x4031,f8(x4031,x4032),x4032)
% 3.14/3.22  [404]~P15(x4042)+~P4(x4041,f3(x4042),x4042)+P4(x4041,f8(x4041,x4042),x4042)
% 3.14/3.22  [405]~P16(x4052)+~P4(f3(x4052),x4051,x4052)+P4(f8(x4051,x4052),x4051,x4052)
% 3.14/3.22  [406]~P15(x4062)+~P4(f3(x4062),x4061,x4062)+P4(f8(x4061,x4062),x4061,x4062)
% 3.14/3.22  [411]~P17(x4111)+~P5(x4112,f3(x4111),x4111)+P5(f3(x4111),f8(x4112,x4111),x4111)
% 3.14/3.22  [412]~P17(x4121)+~P4(x4122,f3(x4121),x4121)+P4(f3(x4121),f8(x4122,x4121),x4121)
% 3.14/3.22  [413]~P17(x4132)+~P5(f3(x4132),x4131,x4132)+P5(f8(x4131,x4132),f3(x4132),x4132)
% 3.14/3.22  [414]~P17(x4142)+~P4(f3(x4142),x4141,x4142)+P4(f8(x4141,x4142),f3(x4142),x4142)
% 3.14/3.22  [415]~P25(x4152)+~P5(x4151,f8(x4151,x4152),x4152)+P5(x4151,f3(x4152),x4152)
% 3.14/3.22  [416]~P16(x4162)+~P4(x4161,f8(x4161,x4162),x4162)+P4(x4161,f3(x4162),x4162)
% 3.14/3.22  [417]~P15(x4172)+~P4(x4171,f8(x4171,x4172),x4172)+P4(x4171,f3(x4172),x4172)
% 3.14/3.22  [418]~P16(x4181)+~P4(f8(x4182,x4181),x4182,x4181)+P4(f3(x4181),x4182,x4181)
% 3.14/3.22  [419]~P15(x4191)+~P4(f8(x4192,x4191),x4192,x4191)+P4(f3(x4191),x4192,x4191)
% 3.14/3.22  [425]~P17(x4252)+~P5(f3(x4252),f8(x4251,x4252),x4252)+P5(x4251,f3(x4252),x4252)
% 3.14/3.22  [426]~P17(x4262)+~P4(f3(x4262),f8(x4261,x4262),x4262)+P4(x4261,f3(x4262),x4262)
% 3.14/3.22  [427]~P17(x4271)+~P5(f8(x4272,x4271),f3(x4271),x4271)+P5(f3(x4271),x4272,x4271)
% 3.14/3.22  [428]~P17(x4281)+~P4(f8(x4282,x4281),f3(x4281),x4281)+P4(f3(x4281),x4282,x4281)
% 3.14/3.22  [472]~P4(x4721,x4722,a1)+~P4(f8(x4722,a1),x4721,a1)+P4(f6(x4721,a1),x4722,a1)
% 3.14/3.22  [493]~P5(f3(a1),x4932,a1)+~P5(f3(a1),x4931,a1)+P5(f3(a1),f5(x4931,x4932,a1),a1)
% 3.14/3.22  [513]P5(x5131,f7(a1),a1)+~P4(f9(x5132,a2),a28,a1)+~E(f9(f10(a29,x5132,a2),a2),f8(x5131,a1))
% 3.14/3.22  [342]P4(x3422,x3421,x3423)+~P2(x3423)+P5(x3421,x3422,x3423)
% 3.14/3.22  [344]P4(x3442,x3441,x3443)+~P2(x3443)+P4(x3441,x3442,x3443)
% 3.14/3.22  [365]~P20(x3653)+~P5(x3651,x3652,x3653)+P4(x3651,x3652,x3653)
% 3.14/3.22  [366]~P21(x3663)+~P5(x3661,x3662,x3663)+P4(x3661,x3662,x3663)
% 3.14/3.22  [391]~P5(x3913,x3912,x3911)+~P2(x3911)+~P5(x3912,x3913,x3911)
% 3.14/3.22  [393]~P4(x3933,x3932,x3931)+~P2(x3931)+~P5(x3932,x3933,x3931)
% 3.14/3.22  [395]~P5(x3953,x3952,x3951)+~P20(x3951)+~P5(x3952,x3953,x3951)
% 3.14/3.22  [397]~P5(x3973,x3972,x3971)+~P21(x3971)+~P5(x3972,x3973,x3971)
% 3.14/3.22  [398]~P4(x3983,x3982,x3981)+~P21(x3981)+~P5(x3982,x3983,x3981)
% 3.14/3.22  [451]~P4(x4511,x4513,a1)+P4(x4511,x4512,a1)+~P4(x4513,x4512,a1)
% 3.14/3.22  [283]~P18(x2833)+E(x2831,x2832)+~E(f12(x2831,x2833),f12(x2832,x2833))
% 3.14/3.22  [284]~P10(x2843)+E(x2841,x2842)+~E(f8(x2841,x2843),f8(x2842,x2843))
% 3.14/3.22  [285]~P13(x2853)+E(x2851,x2852)+~E(f8(x2851,x2853),f8(x2852,x2853))
% 3.14/3.22  [387]E(x3871,x3872)+~E(f5(x3873,x3871,a1),f5(x3873,x3872,a1))+E(x3873,f3(a1))
% 3.14/3.22  [388]E(x3881,x3882)+~E(f5(x3881,x3883,a1),f5(x3882,x3883,a1))+E(x3883,f3(a1))
% 3.14/3.22  [409]~P25(x4093)+P5(x4091,x4092,x4093)+~P5(f6(x4091,x4093),x4092,x4093)
% 3.14/3.22  [410]~P8(x4103)+P4(x4101,x4102,x4103)+~P4(f6(x4101,x4103),x4102,x4103)
% 3.14/3.22  [422]~P17(x4222)+~P5(x4223,x4221,x4222)+P5(f8(x4221,x4222),f8(x4223,x4222),x4222)
% 3.14/3.22  [423]~P17(x4232)+~P4(x4233,x4231,x4232)+P4(f8(x4231,x4232),f8(x4233,x4232),x4232)
% 3.14/3.22  [441]~P17(x4413)+~P5(x4412,f8(x4411,x4413),x4413)+P5(x4411,f8(x4412,x4413),x4413)
% 3.14/3.22  [443]~P17(x4433)+~P4(x4432,f8(x4431,x4433),x4433)+P4(x4431,f8(x4432,x4433),x4433)
% 3.14/3.22  [444]~P25(x4442)+~P5(f6(x4441,x4442),x4443,x4442)+P5(f8(x4441,x4442),x4443,x4442)
% 3.14/3.22  [446]~P17(x4462)+~P5(f8(x4463,x4462),x4461,x4462)+P5(f8(x4461,x4462),x4463,x4462)
% 3.14/3.22  [447]~P8(x4472)+~P4(f6(x4471,x4472),x4473,x4472)+P4(f8(x4471,x4472),x4473,x4472)
% 3.14/3.22  [449]~P17(x4492)+~P4(f8(x4493,x4492),x4491,x4492)+P4(f8(x4491,x4492),x4493,x4492)
% 3.14/3.22  [455]~P17(x4553)+P5(x4551,x4552,x4553)+~P5(f8(x4552,x4553),f8(x4551,x4553),x4553)
% 3.14/3.22  [456]~P17(x4563)+P4(x4561,x4562,x4563)+~P4(f8(x4562,x4563),f8(x4561,x4563),x4563)
% 3.14/3.22  [529]~P5(x5291,x5293,a1)+P5(f5(x5291,x5292,a1),f5(x5293,x5292,a1),a1)+~P5(f3(a1),x5292,a1)
% 3.14/3.22  [530]~P5(x5302,x5303,a1)+P5(f5(x5301,x5302,a1),f5(x5301,x5303,a1),a1)+~P5(f3(a1),x5301,a1)
% 3.14/3.22  [531]~P4(x5311,x5313,a1)+P4(f5(x5311,x5312,a1),f5(x5313,x5312,a1),a1)+~P5(f3(a1),x5312,a1)
% 3.14/3.22  [532]~P4(x5322,x5323,a1)+P4(f5(x5321,x5322,a1),f5(x5321,x5323,a1),a1)+~P5(f3(a1),x5321,a1)
% 3.14/3.22  [570]P5(x5701,x5702,a1)+~P5(f5(x5701,x5703,a1),f5(x5702,x5703,a1),a1)+~P5(f3(a1),x5703,a1)
% 3.14/3.22  [571]P4(x5711,x5712,a1)+~P4(f5(x5713,x5711,a1),f5(x5713,x5712,a1),a1)+~P5(f3(a1),x5713,a1)
% 3.14/3.22  [572]P4(x5721,x5722,a1)+~P4(f5(x5721,x5723,a1),f5(x5722,x5723,a1),a1)+~P5(f3(a1),x5723,a1)
% 3.14/3.22  [476]~P25(x4762)+~P4(f3(x4762),x4763,x4762)+E(f5(f6(x4761,x4762),x4763,x4762),f6(f5(x4761,x4763,x4762),x4762))
% 3.14/3.22  [533]E(x5331,f3(a1))+~P4(x5332,f3(a1),a1)+~P4(f6(x5331,a1),f5(x5332,f6(x5333,a1),a1),a1)
% 3.14/3.22  [321]~P2(x3212)+~P9(x3212)+P5(x3211,f3(x3212),x3212)+E(f6(x3211,x3212),x3211)
% 3.14/3.22  [359]~P2(x3592)+~P9(x3592)+~P5(x3591,f3(x3592),x3592)+E(f8(x3591,x3592),f6(x3591,x3592))
% 3.14/3.22  [376]~P7(x3762)+~P25(x3762)+P5(f11(x3761,x3762),f3(x3762),x3762)+E(f6(f11(x3761,x3762),x3762),f11(x3761,x3762))
% 3.14/3.22  [457]~P7(x4572)+~P25(x4572)+~P5(f11(x4571,x4572),f3(x4572),x4572)+E(f8(f11(x4571,x4572),x4572),f6(f11(x4571,x4572),x4572))
% 3.14/3.22  [350]P5(x3501,x3502,x3503)+~P2(x3503)+E(x3501,x3502)+P5(x3502,x3501,x3503)
% 3.14/3.22  [351]P5(x3511,x3512,x3513)+~P25(x3513)+E(x3511,x3512)+P5(x3512,x3511,x3513)
% 3.14/3.22  [369]~P2(x3693)+~P4(x3691,x3692,x3693)+E(x3691,x3692)+P5(x3691,x3692,x3693)
% 3.14/3.22  [375]~P20(x3753)+~P4(x3751,x3752,x3753)+E(x3751,x3752)+P5(x3751,x3752,x3753)
% 3.14/3.22  [401]~P4(x4012,x4011,x4013)+~P4(x4011,x4012,x4013)+E(x4011,x4012)+~P20(x4013)
% 3.14/3.22  [424]P4(x4242,x4241,x4243)+~P21(x4243)+~P4(x4241,x4242,x4243)+P5(x4241,x4242,x4243)
% 3.14/3.22  [288]~P6(x2883)+~P7(x2883)+E(x2881,x2882)+~E(f11(x2881,x2883),f11(x2882,x2883))
% 3.14/3.22  [332]~P28(x3322)+~E(f13(x3323,x3321,x3322),f3(x3322))+E(x3321,f3(x3322))+E(x3323,f3(a1))
% 3.14/3.22  [334]~P26(x3342)+~E(f5(x3343,x3341,x3342),f3(x3342))+E(x3341,f3(x3342))+E(x3343,f3(x3342))
% 3.14/3.22  [335]~P39(x3352)+~E(f5(x3353,x3351,x3352),f3(x3352))+E(x3351,f3(x3352))+E(x3353,f3(x3352))
% 3.14/3.22  [421]~P34(x4213)+E(x4211,x4212)+~E(f5(x4211,x4211,x4213),f5(x4212,x4212,x4213))+E(x4211,f8(x4212,x4213))
% 3.14/3.22  [473]~P25(x4732)+~P5(x4731,x4733,x4732)+~P5(f8(x4731,x4732),x4733,x4732)+P5(f6(x4731,x4732),x4733,x4732)
% 3.14/3.22  [475]~P8(x4752)+~P4(x4751,x4753,x4752)+~P4(f8(x4751,x4752),x4753,x4752)+P4(f6(x4751,x4752),x4753,x4752)
% 3.14/3.22  [495]~P40(x4951)+~P5(x4953,f3(x4951),x4951)+~P5(x4952,f3(x4951),x4951)+P5(f3(x4951),f5(x4952,x4953,x4951),x4951)
% 3.14/3.22  [496]~P40(x4961)+~P4(x4963,f3(x4961),x4961)+~P4(x4962,f3(x4961),x4961)+P4(f3(x4961),f5(x4962,x4963,x4961),x4961)
% 3.14/3.22  [498]~P44(x4981)+~P4(x4983,f3(x4981),x4981)+~P4(x4982,f3(x4981),x4981)+P4(f3(x4981),f5(x4982,x4983,x4981),x4981)
% 3.14/3.22  [499]~P41(x4991)+~P5(f3(x4991),x4993,x4991)+~P5(f3(x4991),x4992,x4991)+P5(f3(x4991),f5(x4992,x4993,x4991),x4991)
% 3.14/3.22  [500]~P40(x5001)+~P4(f3(x5001),x5003,x5001)+~P4(f3(x5001),x5002,x5001)+P4(f3(x5001),f5(x5002,x5003,x5001),x5001)
% 3.14/3.22  [501]~P44(x5011)+~P4(f3(x5011),x5013,x5011)+~P4(f3(x5011),x5012,x5011)+P4(f3(x5011),f5(x5012,x5013,x5011),x5011)
% 3.14/3.22  [502]~P45(x5021)+~P4(f3(x5021),x5023,x5021)+~P4(f3(x5021),x5022,x5021)+P4(f3(x5021),f5(x5022,x5023,x5021),x5021)
% 3.14/3.22  [503]~P41(x5033)+~P5(x5032,f3(x5033),x5033)+~P5(f3(x5033),x5031,x5033)+P5(f5(x5031,x5032,x5033),f3(x5033),x5033)
% 3.14/3.22  [505]~P41(x5053)+~P5(x5051,f3(x5053),x5053)+~P5(f3(x5053),x5052,x5053)+P5(f5(x5051,x5052,x5053),f3(x5053),x5053)
% 3.14/3.22  [506]~P40(x5063)+~P4(x5062,f3(x5063),x5063)+~P4(f3(x5063),x5061,x5063)+P4(f5(x5061,x5062,x5063),f3(x5063),x5063)
% 3.14/3.22  [507]~P40(x5073)+~P4(x5071,f3(x5073),x5073)+~P4(f3(x5073),x5072,x5073)+P4(f5(x5071,x5072,x5073),f3(x5073),x5073)
% 3.14/3.22  [509]~P45(x5093)+~P4(x5092,f3(x5093),x5093)+~P4(f3(x5093),x5091,x5093)+P4(f5(x5091,x5092,x5093),f3(x5093),x5093)
% 3.14/3.22  [512]~P45(x5123)+~P4(x5121,f3(x5123),x5123)+~P4(f3(x5123),x5122,x5123)+P4(f5(x5121,x5122,x5123),f3(x5123),x5123)
% 3.14/3.22  [514]~P40(x5142)+~P4(f5(x5143,x5141,x5142),f3(x5142),x5142)+P4(x5141,f3(x5142),x5142)+P4(x5143,f3(x5142),x5142)
% 3.14/3.22  [515]~P40(x5152)+~P4(f3(x5152),f5(x5153,x5151,x5152),x5152)+P4(x5151,f3(x5152),x5152)+P4(f3(x5152),x5153,x5152)
% 3.14/3.22  [516]~P40(x5162)+~P4(f3(x5162),f5(x5161,x5163,x5162),x5162)+P4(x5161,f3(x5162),x5162)+P4(f3(x5162),x5163,x5162)
% 3.14/3.22  [517]~P40(x5172)+~P4(f3(x5172),f5(x5173,x5171,x5172),x5172)+P4(x5171,f3(x5172),x5172)+P4(f3(x5172),x5171,x5172)
% 3.14/3.22  [518]~P40(x5182)+~P4(f3(x5182),f5(x5181,x5183,x5182),x5182)+P4(x5181,f3(x5182),x5182)+P4(f3(x5182),x5181,x5182)
% 3.14/3.22  [519]~P40(x5192)+~P4(f5(x5193,x5191,x5192),f3(x5192),x5192)+P4(x5191,f3(x5192),x5192)+P4(f3(x5192),x5191,x5192)
% 3.14/3.22  [520]~P40(x5202)+~P4(f5(x5201,x5203,x5202),f3(x5202),x5202)+P4(x5201,f3(x5202),x5202)+P4(f3(x5202),x5201,x5202)
% 3.14/3.22  [521]~P40(x5211)+~P4(f5(x5212,x5213,x5211),f3(x5211),x5211)+P4(f3(x5211),x5212,x5211)+P4(f3(x5211),x5213,x5211)
% 3.14/3.22  [526]~P41(x5261)+~P5(f3(x5261),f5(x5263,x5262,x5261),x5261)+P5(f3(x5261),x5262,x5261)+~P5(f3(x5261),x5263,x5261)
% 3.14/3.22  [527]~P41(x5271)+~P5(f3(x5271),f5(x5272,x5273,x5271),x5271)+P5(f3(x5271),x5272,x5271)+~P5(f3(x5271),x5273,x5271)
% 3.14/3.22  [522]~P43(x5222)+~P4(x5223,f3(x5222),x5222)+~P4(x5221,f3(x5222),x5222)+E(f5(f6(x5221,x5222),f6(x5223,x5222),x5222),f6(f5(x5221,x5223,x5222),x5222))
% 3.14/3.22  [523]~P43(x5232)+~P4(x5233,f3(x5232),x5232)+~P4(f3(x5232),x5231,x5232)+E(f5(f6(x5231,x5232),f6(x5233,x5232),x5232),f6(f5(x5231,x5233,x5232),x5232))
% 3.14/3.22  [524]~P43(x5242)+~P4(x5241,f3(x5242),x5242)+~P4(f3(x5242),x5243,x5242)+E(f5(f6(x5241,x5242),f6(x5243,x5242),x5242),f6(f5(x5241,x5243,x5242),x5242))
% 3.14/3.22  [525]~P43(x5252)+~P4(f3(x5252),x5253,x5252)+~P4(f3(x5252),x5251,x5252)+E(f5(f6(x5251,x5252),f6(x5253,x5252),x5252),f6(f5(x5251,x5253,x5252),x5252))
% 3.14/3.22  [461]~P20(x4613)+~P5(x4611,x4614,x4613)+P5(x4611,x4612,x4613)+~P5(x4614,x4612,x4613)
% 3.14/3.22  [462]~P20(x4623)+~P4(x4621,x4624,x4623)+P5(x4621,x4622,x4623)+~P5(x4624,x4622,x4623)
% 3.14/3.22  [463]~P20(x4633)+~P4(x4634,x4632,x4633)+P5(x4631,x4632,x4633)+~P5(x4631,x4634,x4633)
% 3.14/3.22  [464]~P21(x4643)+~P5(x4641,x4644,x4643)+P5(x4641,x4642,x4643)+~P5(x4644,x4642,x4643)
% 3.14/3.22  [465]~P21(x4653)+~P4(x4651,x4654,x4653)+P5(x4651,x4652,x4653)+~P5(x4654,x4652,x4653)
% 3.14/3.22  [466]~P21(x4663)+~P4(x4664,x4662,x4663)+P5(x4661,x4662,x4663)+~P5(x4661,x4664,x4663)
% 3.14/3.22  [467]~P20(x4673)+~P4(x4671,x4674,x4673)+P4(x4671,x4672,x4673)+~P4(x4674,x4672,x4673)
% 3.14/3.22  [468]~P21(x4683)+~P4(x4681,x4684,x4683)+P4(x4681,x4682,x4683)+~P4(x4684,x4682,x4683)
% 3.14/3.22  [407]~P28(x4074)+E(x4071,x4072)+~E(f13(x4073,x4071,x4074),f13(x4073,x4072,x4074))+E(x4073,f3(a1))
% 3.14/3.22  [408]~P28(x4084)+E(x4081,x4082)+~E(f13(x4081,x4083,x4084),f13(x4082,x4083,x4084))+E(x4083,f3(x4084))
% 3.14/3.22  [535]~P40(x5353)+~P5(x5354,x5351,x5353)+~P5(x5352,f3(x5353),x5353)+P5(f5(x5351,x5352,x5353),f5(x5354,x5352,x5353),x5353)
% 3.14/3.22  [538]~P40(x5383)+~P5(x5384,x5382,x5383)+~P5(x5381,f3(x5383),x5383)+P5(f5(x5381,x5382,x5383),f5(x5381,x5384,x5383),x5383)
% 3.14/3.22  [539]~P44(x5393)+~P4(x5394,x5391,x5393)+~P4(x5392,f3(x5393),x5393)+P4(f5(x5391,x5392,x5393),f5(x5394,x5392,x5393),x5393)
% 3.14/3.22  [540]~P40(x5403)+~P4(x5404,x5402,x5403)+~P5(x5401,f3(x5403),x5403)+P4(f5(x5401,x5402,x5403),f5(x5401,x5404,x5403),x5403)
% 3.14/3.22  [541]~P44(x5413)+~P4(x5414,x5412,x5413)+~P4(x5411,f3(x5413),x5413)+P4(f5(x5411,x5412,x5413),f5(x5411,x5414,x5413),x5413)
% 3.14/3.22  [542]~P40(x5423)+~P5(x5421,x5424,x5423)+~P5(f3(x5423),x5422,x5423)+P5(f5(x5421,x5422,x5423),f5(x5424,x5422,x5423),x5423)
% 3.14/3.22  [543]~P41(x5433)+~P5(x5431,x5434,x5433)+~P5(f3(x5433),x5432,x5433)+P5(f5(x5431,x5432,x5433),f5(x5434,x5432,x5433),x5433)
% 3.14/3.22  [545]~P40(x5453)+~P5(x5452,x5454,x5453)+~P5(f3(x5453),x5451,x5453)+P5(f5(x5451,x5452,x5453),f5(x5451,x5454,x5453),x5453)
% 3.14/3.22  [546]~P41(x5463)+~P5(x5462,x5464,x5463)+~P5(f3(x5463),x5461,x5463)+P5(f5(x5461,x5462,x5463),f5(x5461,x5464,x5463),x5463)
% 3.14/3.22  [547]~P38(x5473)+~P5(x5472,x5474,x5473)+~P5(f3(x5473),x5471,x5473)+P5(f5(x5471,x5472,x5473),f5(x5471,x5474,x5473),x5473)
% 3.14/3.22  [548]~P36(x5483)+~P4(x5481,x5484,x5483)+~P4(f3(x5483),x5482,x5483)+P4(f5(x5481,x5482,x5483),f5(x5484,x5482,x5483),x5483)
% 3.14/3.22  [549]~P40(x5493)+~P4(x5492,x5494,x5493)+~P5(f3(x5493),x5491,x5493)+P4(f5(x5491,x5492,x5493),f5(x5491,x5494,x5493),x5493)
% 3.14/3.22  [550]~P35(x5503)+~P4(x5502,x5504,x5503)+~P4(f3(x5503),x5501,x5503)+P4(f5(x5501,x5502,x5503),f5(x5501,x5504,x5503),x5503)
% 3.14/3.22  [551]~P36(x5513)+~P4(x5512,x5514,x5513)+~P4(f3(x5513),x5511,x5513)+P4(f5(x5511,x5512,x5513),f5(x5511,x5514,x5513),x5513)
% 3.14/3.22  [561]P5(x5612,x5611,x5613)+~P40(x5613)+P5(x5611,x5612,x5613)+~P5(f5(x5614,x5611,x5613),f5(x5614,x5612,x5613),x5613)
% 3.14/3.22  [562]P5(x5622,x5621,x5623)+~P40(x5623)+P5(x5621,x5622,x5623)+~P5(f5(x5621,x5624,x5623),f5(x5622,x5624,x5623),x5623)
% 3.14/3.22  [564]~P40(x5643)+P5(x5641,x5642,x5643)+~P5(f5(x5641,x5644,x5643),f5(x5642,x5644,x5643),x5643)+P5(x5644,f3(x5643),x5643)
% 3.14/3.22  [565]~P40(x5653)+P5(x5651,x5652,x5653)+~P5(f5(x5654,x5651,x5653),f5(x5654,x5652,x5653),x5653)+P5(x5654,f3(x5653),x5653)
% 3.14/3.22  [566]~P40(x5663)+P5(x5661,x5662,x5663)+~P5(f5(x5664,x5662,x5663),f5(x5664,x5661,x5663),x5663)+P5(f3(x5663),x5664,x5663)
% 3.14/3.22  [567]~P40(x5673)+P5(x5671,x5672,x5673)+~P5(f5(x5672,x5674,x5673),f5(x5671,x5674,x5673),x5673)+P5(f3(x5673),x5674,x5673)
% 3.14/3.22  [568]~P40(x5682)+~P5(f5(x5683,x5681,x5682),f5(x5684,x5681,x5682),x5682)+P5(x5681,f3(x5682),x5682)+P5(f3(x5682),x5681,x5682)
% 3.14/3.22  [569]~P40(x5692)+~P5(f5(x5691,x5693,x5692),f5(x5691,x5694,x5692),x5692)+P5(x5691,f3(x5692),x5692)+P5(f3(x5692),x5691,x5692)
% 3.14/3.22  [573]~P40(x5733)+P5(x5731,x5732,x5733)+~P5(f5(x5734,x5732,x5733),f5(x5734,x5731,x5733),x5733)+~P5(x5734,f3(x5733),x5733)
% 3.14/3.22  [574]~P40(x5743)+P4(x5741,x5742,x5743)+~P4(f5(x5744,x5742,x5743),f5(x5744,x5741,x5743),x5743)+~P5(x5744,f3(x5743),x5743)
% 3.14/3.22  [575]~P40(x5753)+P5(x5751,x5752,x5753)+~P5(f5(x5754,x5751,x5753),f5(x5754,x5752,x5753),x5753)+~P5(f3(x5753),x5754,x5753)
% 3.14/3.22  [576]~P41(x5763)+P5(x5761,x5762,x5763)+~P5(f5(x5764,x5761,x5763),f5(x5764,x5762,x5763),x5763)+~P4(f3(x5763),x5764,x5763)
% 3.14/3.22  [577]~P41(x5773)+P5(x5771,x5772,x5773)+~P5(f5(x5771,x5774,x5773),f5(x5772,x5774,x5773),x5773)+~P4(f3(x5773),x5774,x5773)
% 3.14/3.22  [578]~P42(x5783)+P5(x5781,x5782,x5783)+~P5(f5(x5784,x5781,x5783),f5(x5784,x5782,x5783),x5783)+~P4(f3(x5783),x5784,x5783)
% 3.14/3.22  [579]~P42(x5793)+P5(x5791,x5792,x5793)+~P5(f5(x5791,x5794,x5793),f5(x5792,x5794,x5793),x5793)+~P4(f3(x5793),x5794,x5793)
% 3.14/3.22  [580]~P40(x5803)+P4(x5801,x5802,x5803)+~P4(f5(x5804,x5801,x5803),f5(x5804,x5802,x5803),x5803)+~P5(f3(x5803),x5804,x5803)
% 3.14/3.22  [581]~P41(x5813)+P4(x5811,x5812,x5813)+~P4(f5(x5814,x5811,x5813),f5(x5814,x5812,x5813),x5813)+~P5(f3(x5813),x5814,x5813)
% 3.14/3.22  [582]~P41(x5823)+P4(x5821,x5822,x5823)+~P4(f5(x5821,x5824,x5823),f5(x5822,x5824,x5823),x5823)+~P5(f3(x5823),x5824,x5823)
% 3.14/3.22  [552]~P22(x5522)+E(x5521,f3(x5522))+~P4(x5523,f3(a1),a1)+~P4(f9(x5521,x5522),f5(x5523,f9(x5524,x5522),a1),a1)
% 3.14/3.22  [583]~P25(x5832)+~P5(f6(x5831,x5832),x5834,x5832)+~P5(f6(x5833,x5832),x5835,x5832)+P5(f5(f6(x5831,x5832),f6(x5833,x5832),x5832),f5(x5834,x5835,x5832),x5832)
% 3.14/3.22  [592]~P1(x5923)+~P5(f9(x5922,x5923),x5925,a1)+~P5(f9(x5921,x5923),x5924,a1)+P5(f9(f5(x5921,x5922,x5923),x5923),f5(x5924,x5925,a1),a1)
% 3.14/3.22  [584]~P41(x5843)+~P5(x5842,x5845,x5843)+~P5(x5841,x5844,x5843)+~P5(f3(x5843),x5844,x5843)+~P4(f3(x5843),x5842,x5843)+P5(f5(x5841,x5842,x5843),f5(x5844,x5845,x5843),x5843)
% 3.14/3.22  [585]~P41(x5853)+~P5(x5852,x5855,x5853)+~P5(x5851,x5854,x5853)+~P4(f3(x5853),x5852,x5853)+~P4(f3(x5853),x5851,x5853)+P5(f5(x5851,x5852,x5853),f5(x5854,x5855,x5853),x5853)
% 3.14/3.22  [586]~P41(x5863)+~P5(x5862,x5865,x5863)+~P4(x5861,x5864,x5863)+~P5(f3(x5863),x5861,x5863)+~P4(f3(x5863),x5862,x5863)+P5(f5(x5861,x5862,x5863),f5(x5864,x5865,x5863),x5863)
% 3.14/3.22  [587]~P41(x5873)+~P5(x5871,x5874,x5873)+~P4(x5872,x5875,x5873)+~P5(f3(x5873),x5872,x5873)+~P4(f3(x5873),x5871,x5873)+P5(f5(x5871,x5872,x5873),f5(x5874,x5875,x5873),x5873)
% 3.14/3.22  [588]~P47(x5883)+~P4(x5882,x5885,x5883)+~P4(x5881,x5884,x5883)+~P4(f3(x5883),x5884,x5883)+~P4(f3(x5883),x5882,x5883)+P4(f5(x5881,x5882,x5883),f5(x5884,x5885,x5883),x5883)
% 3.14/3.22  [589]~P47(x5893)+~P4(x5892,x5895,x5893)+~P4(x5891,x5894,x5893)+~P4(f3(x5893),x5892,x5893)+~P4(f3(x5893),x5891,x5893)+P4(f5(x5891,x5892,x5893),f5(x5894,x5895,x5893),x5893)
% 3.14/3.22  %EqnAxiom
% 3.14/3.22  [1]E(x11,x11)
% 3.14/3.22  [2]E(x22,x21)+~E(x21,x22)
% 3.14/3.22  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.14/3.22  [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 3.14/3.22  [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 3.14/3.22  [6]~E(x61,x62)+E(f9(x61,x63),f9(x62,x63))
% 3.14/3.22  [7]~E(x71,x72)+E(f9(x73,x71),f9(x73,x72))
% 3.14/3.22  [8]~E(x81,x82)+E(f5(x81,x83,x84),f5(x82,x83,x84))
% 3.14/3.22  [9]~E(x91,x92)+E(f5(x93,x91,x94),f5(x93,x92,x94))
% 3.14/3.22  [10]~E(x101,x102)+E(f5(x103,x104,x101),f5(x103,x104,x102))
% 3.14/3.22  [11]~E(x111,x112)+E(f30(x111,x113),f30(x112,x113))
% 3.14/3.22  [12]~E(x121,x122)+E(f30(x123,x121),f30(x123,x122))
% 3.14/3.22  [13]~E(x131,x132)+E(f31(x131),f31(x132))
% 3.14/3.22  [14]~E(x141,x142)+E(f6(x141,x143),f6(x142,x143))
% 3.14/3.22  [15]~E(x151,x152)+E(f6(x153,x151),f6(x153,x152))
% 3.14/3.22  [16]~E(x161,x162)+E(f14(x161,x163),f14(x162,x163))
% 3.14/3.22  [17]~E(x171,x172)+E(f14(x173,x171),f14(x173,x172))
% 3.14/3.22  [18]~E(x181,x182)+E(f21(x181,x183),f21(x182,x183))
% 3.14/3.22  [19]~E(x191,x192)+E(f21(x193,x191),f21(x193,x192))
% 3.14/3.22  [20]~E(x201,x202)+E(f13(x201,x203,x204),f13(x202,x203,x204))
% 3.14/3.22  [21]~E(x211,x212)+E(f13(x213,x211,x214),f13(x213,x212,x214))
% 3.14/3.22  [22]~E(x221,x222)+E(f13(x223,x224,x221),f13(x223,x224,x222))
% 3.14/3.22  [23]~E(x231,x232)+E(f8(x231,x233),f8(x232,x233))
% 3.14/3.22  [24]~E(x241,x242)+E(f8(x243,x241),f8(x243,x242))
% 3.14/3.22  [25]~E(x251,x252)+E(f7(x251),f7(x252))
% 3.14/3.22  [26]~E(x261,x262)+E(f32(x261,x263),f32(x262,x263))
% 3.14/3.22  [27]~E(x271,x272)+E(f32(x273,x271),f32(x273,x272))
% 3.14/3.22  [28]~E(x281,x282)+E(f11(x281,x283),f11(x282,x283))
% 3.14/3.22  [29]~E(x291,x292)+E(f11(x293,x291),f11(x293,x292))
% 3.14/3.22  [30]~E(x301,x302)+E(f10(x301,x303,x304),f10(x302,x303,x304))
% 3.14/3.22  [31]~E(x311,x312)+E(f10(x313,x311,x314),f10(x313,x312,x314))
% 3.14/3.22  [32]~E(x321,x322)+E(f10(x323,x324,x321),f10(x323,x324,x322))
% 3.14/3.22  [33]~E(x331,x332)+E(f16(x331,x333),f16(x332,x333))
% 3.14/3.22  [34]~E(x341,x342)+E(f16(x343,x341),f16(x343,x342))
% 3.14/3.22  [35]~E(x351,x352)+E(f25(x351,x353,x354),f25(x352,x353,x354))
% 3.14/3.22  [36]~E(x361,x362)+E(f25(x363,x361,x364),f25(x363,x362,x364))
% 3.14/3.22  [37]~E(x371,x372)+E(f25(x373,x374,x371),f25(x373,x374,x372))
% 3.14/3.22  [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 3.14/3.22  [39]~E(x391,x392)+E(f12(x391,x393),f12(x392,x393))
% 3.14/3.22  [40]~E(x401,x402)+E(f12(x403,x401),f12(x403,x402))
% 3.14/3.22  [41]~E(x411,x412)+E(f23(x411,x413,x414),f23(x412,x413,x414))
% 3.14/3.22  [42]~E(x421,x422)+E(f23(x423,x421,x424),f23(x423,x422,x424))
% 3.14/3.22  [43]~E(x431,x432)+E(f23(x433,x434,x431),f23(x433,x434,x432))
% 3.14/3.22  [44]~E(x441,x442)+E(f24(x441,x443,x444),f24(x442,x443,x444))
% 3.14/3.22  [45]~E(x451,x452)+E(f24(x453,x451,x454),f24(x453,x452,x454))
% 3.14/3.22  [46]~E(x461,x462)+E(f24(x463,x464,x461),f24(x463,x464,x462))
% 3.14/3.22  [47]~E(x471,x472)+E(f17(x471,x473),f17(x472,x473))
% 3.14/3.22  [48]~E(x481,x482)+E(f17(x483,x481),f17(x483,x482))
% 3.14/3.22  [49]~E(x491,x492)+E(f35(x491,x493),f35(x492,x493))
% 3.14/3.22  [50]~E(x501,x502)+E(f35(x503,x501),f35(x503,x502))
% 3.14/3.22  [51]~E(x511,x512)+E(f22(x511,x513),f22(x512,x513))
% 3.14/3.22  [52]~E(x521,x522)+E(f22(x523,x521),f22(x523,x522))
% 3.14/3.22  [53]~E(x531,x532)+E(f27(x531),f27(x532))
% 3.14/3.22  [54]~E(x541,x542)+E(f33(x541,x543),f33(x542,x543))
% 3.14/3.22  [55]~E(x551,x552)+E(f33(x553,x551),f33(x553,x552))
% 3.14/3.22  [56]~E(x561,x562)+E(f15(x561,x563),f15(x562,x563))
% 3.14/3.22  [57]~E(x571,x572)+E(f15(x573,x571),f15(x573,x572))
% 3.14/3.22  [58]~E(x581,x582)+E(f20(x581,x583),f20(x582,x583))
% 3.14/3.22  [59]~E(x591,x592)+E(f20(x593,x591),f20(x593,x592))
% 3.14/3.22  [60]~E(x601,x602)+E(f18(x601,x603),f18(x602,x603))
% 3.14/3.22  [61]~E(x611,x612)+E(f18(x613,x611),f18(x613,x612))
% 3.14/3.22  [62]~E(x621,x622)+E(f19(x621,x623),f19(x622,x623))
% 3.14/3.22  [63]~E(x631,x632)+E(f19(x633,x631),f19(x633,x632))
% 3.14/3.22  [64]~P1(x641)+P1(x642)+~E(x641,x642)
% 3.14/3.22  [65]P4(x652,x653,x654)+~E(x651,x652)+~P4(x651,x653,x654)
% 3.14/3.22  [66]P4(x663,x662,x664)+~E(x661,x662)+~P4(x663,x661,x664)
% 3.14/3.22  [67]P4(x673,x674,x672)+~E(x671,x672)+~P4(x673,x674,x671)
% 3.14/3.22  [68]~P22(x681)+P22(x682)+~E(x681,x682)
% 3.14/3.22  [69]~P45(x691)+P45(x692)+~E(x691,x692)
% 3.14/3.22  [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 3.14/3.22  [71]P5(x712,x713,x714)+~E(x711,x712)+~P5(x711,x713,x714)
% 3.14/3.22  [72]P5(x723,x722,x724)+~E(x721,x722)+~P5(x723,x721,x724)
% 3.14/3.22  [73]P5(x733,x734,x732)+~E(x731,x732)+~P5(x733,x734,x731)
% 3.14/3.22  [74]~P3(x741)+P3(x742)+~E(x741,x742)
% 3.14/3.22  [75]~P44(x751)+P44(x752)+~E(x751,x752)
% 3.14/3.22  [76]~P20(x761)+P20(x762)+~E(x761,x762)
% 3.14/3.22  [77]~P6(x771)+P6(x772)+~E(x771,x772)
% 3.14/3.22  [78]~P25(x781)+P25(x782)+~E(x781,x782)
% 3.14/3.22  [79]~P8(x791)+P8(x792)+~E(x791,x792)
% 3.14/3.22  [80]~P7(x801)+P7(x802)+~E(x801,x802)
% 3.14/3.22  [81]~P46(x811)+P46(x812)+~E(x811,x812)
% 3.14/3.22  [82]~P40(x821)+P40(x822)+~E(x821,x822)
% 3.14/3.22  [83]~P17(x831)+P17(x832)+~E(x831,x832)
% 3.14/3.22  [84]~P28(x841)+P28(x842)+~E(x841,x842)
% 3.14/3.22  [85]~P18(x851)+P18(x852)+~E(x851,x852)
% 3.14/3.22  [86]~P41(x861)+P41(x862)+~E(x861,x862)
% 3.14/3.22  [87]~P26(x871)+P26(x872)+~E(x871,x872)
% 3.14/3.22  [88]~P10(x881)+P10(x882)+~E(x881,x882)
% 3.14/3.22  [89]~P39(x891)+P39(x892)+~E(x891,x892)
% 3.14/3.22  [90]~P32(x901)+P32(x902)+~E(x901,x902)
% 3.14/3.22  [91]~P12(x911)+P12(x912)+~E(x911,x912)
% 3.14/3.22  [92]~P37(x921)+P37(x922)+~E(x921,x922)
% 3.14/3.22  [93]~P42(x931)+P42(x932)+~E(x931,x932)
% 3.14/3.22  [94]~P15(x941)+P15(x942)+~E(x941,x942)
% 3.14/3.22  [95]~P14(x951)+P14(x952)+~E(x951,x952)
% 3.14/3.22  [96]~P21(x961)+P21(x962)+~E(x961,x962)
% 3.14/3.22  [97]~P27(x971)+P27(x972)+~E(x971,x972)
% 3.14/3.22  [98]~P24(x981)+P24(x982)+~E(x981,x982)
% 3.14/3.22  [99]~P13(x991)+P13(x992)+~E(x991,x992)
% 3.14/3.22  [100]~P43(x1001)+P43(x1002)+~E(x1001,x1002)
% 3.14/3.22  [101]~P31(x1011)+P31(x1012)+~E(x1011,x1012)
% 3.14/3.22  [102]~P36(x1021)+P36(x1022)+~E(x1021,x1022)
% 3.14/3.22  [103]~P30(x1031)+P30(x1032)+~E(x1031,x1032)
% 3.14/3.22  [104]~P33(x1041)+P33(x1042)+~E(x1041,x1042)
% 3.14/3.22  [105]~P23(x1051)+P23(x1052)+~E(x1051,x1052)
% 3.14/3.22  [106]~P29(x1061)+P29(x1062)+~E(x1061,x1062)
% 3.14/3.22  [107]~P34(x1071)+P34(x1072)+~E(x1071,x1072)
% 3.14/3.22  [108]~P38(x1081)+P38(x1082)+~E(x1081,x1082)
% 3.14/3.22  [109]~P47(x1091)+P47(x1092)+~E(x1091,x1092)
% 3.14/3.22  [110]~P11(x1101)+P11(x1102)+~E(x1101,x1102)
% 3.14/3.22  [111]~P16(x1111)+P16(x1112)+~E(x1111,x1112)
% 3.14/3.22  [112]~P9(x1121)+P9(x1122)+~E(x1121,x1122)
% 3.14/3.22  [113]~P35(x1131)+P35(x1132)+~E(x1131,x1132)
% 3.14/3.22  [114]~P19(x1141)+P19(x1142)+~E(x1141,x1142)
% 3.14/3.22  
% 3.14/3.22  %-------------------------------------------
% 3.14/3.23  cnf(601,plain,
% 3.14/3.23     (~P5(x6011,x6011,a26)),
% 3.14/3.23     inference(scs_inference,[],[206,226,2,325])).
% 3.14/3.23  cnf(603,plain,
% 3.14/3.23     (P4(x6031,f6(x6031,a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[216,206,226,2,325,389])).
% 3.14/3.23  cnf(604,plain,
% 3.14/3.23     (P4(x6041,x6041,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(606,plain,
% 3.14/3.23     (E(f6(f3(a1),a1),f3(a1))),
% 3.14/3.23     inference(scs_inference,[],[216,229,206,226,2,325,389,297])).
% 3.14/3.23  cnf(607,plain,
% 3.14/3.23     (~P5(x6071,x6071,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(609,plain,
% 3.14/3.23     (~E(f30(x6091,x6092),f3(a1))),
% 3.14/3.23     inference(scs_inference,[],[216,229,607,206,226,219,2,325,389,297,72])).
% 3.14/3.23  cnf(610,plain,
% 3.14/3.23     (~P5(x6101,x6101,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(612,plain,
% 3.14/3.23     (~P5(x6121,x6121,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(614,plain,
% 3.14/3.23     (P4(x6141,x6141,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(616,plain,
% 3.14/3.23     (P4(x6161,x6161,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(619,plain,
% 3.14/3.23     (E(f5(x6191,x6192,a1),f5(x6192,x6191,a1))),
% 3.14/3.23     inference(rename_variables,[],[221])).
% 3.14/3.23  cnf(621,plain,
% 3.14/3.23     (~P4(x6211,x6212,a1)+~P4(x6213,x6211,a1)+P4(x6213,x6212,a1)),
% 3.14/3.23     inference(rename_variables,[],[451])).
% 3.14/3.23  cnf(622,plain,
% 3.14/3.23     (~P4(f30(x6221,x6222),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,229,607,610,205,206,226,221,219,227,2,325,389,297,72,71,66,65,3,451,398])).
% 3.14/3.23  cnf(628,plain,
% 3.14/3.23     (P4(x6281,x6281,a26)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,229,607,610,119,120,205,206,226,221,219,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342])).
% 3.14/3.23  cnf(630,plain,
% 3.14/3.23     (P4(x6301,f6(x6301,a26),a26)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,229,607,610,119,120,148,205,206,226,221,219,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410])).
% 3.14/3.23  cnf(632,plain,
% 3.14/3.23     (P5(f33(a29,a28),f7(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,229,607,610,119,120,148,205,206,223,226,221,219,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513])).
% 3.14/3.23  cnf(637,plain,
% 3.14/3.23     (P4(x6371,x6371,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(643,plain,
% 3.14/3.23     (~P4(f30(x6431,x6432),f8(f30(x6431,x6432),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,119,120,132,148,176,205,206,223,226,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417])).
% 3.14/3.23  cnf(646,plain,
% 3.14/3.23     (~P5(x6461,x6461,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(648,plain,
% 3.14/3.23     (~E(f8(f30(x6481,x6482),a1),f30(x6481,x6482))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,612,119,120,130,132,148,163,176,205,206,223,226,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272])).
% 3.14/3.23  cnf(650,plain,
% 3.14/3.23     (~P5(f8(f8(x6501,a1),a1),x6501,a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,612,646,119,120,130,132,148,163,174,176,205,206,223,226,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446])).
% 3.14/3.23  cnf(651,plain,
% 3.14/3.23     (~P5(x6511,x6511,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(654,plain,
% 3.14/3.23     (~P5(x6541,x6541,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(656,plain,
% 3.14/3.23     (~P5(x6561,f8(f8(x6561,a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,612,646,651,654,119,120,130,132,148,163,174,176,205,206,223,226,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441])).
% 3.14/3.23  cnf(657,plain,
% 3.14/3.23     (~P5(x6571,x6571,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(659,plain,
% 3.14/3.23     (~P5(f8(f3(a1),a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,612,646,651,654,657,119,120,130,132,148,163,174,176,205,206,223,226,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427])).
% 3.14/3.23  cnf(660,plain,
% 3.14/3.23     (~P5(x6601,x6601,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(662,plain,
% 3.14/3.23     (~P4(f3(a1),f8(f30(x6621,x6622),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,612,646,651,654,657,119,120,130,132,148,163,174,176,205,206,223,226,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426])).
% 3.14/3.23  cnf(665,plain,
% 3.14/3.23     (~P5(f34(x6651),x6651,a1)),
% 3.14/3.23     inference(rename_variables,[],[230])).
% 3.14/3.23  cnf(667,plain,
% 3.14/3.23     (~P4(f6(f30(x6671,x6672),a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,612,646,651,654,657,119,120,130,132,147,148,163,174,176,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367])).
% 3.14/3.23  cnf(669,plain,
% 3.14/3.23     (P5(f3(a1),f6(f30(x6691,x6692),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,612,646,651,654,657,119,120,130,132,147,148,163,174,176,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328])).
% 3.14/3.23  cnf(678,plain,
% 3.14/3.23     (~P5(x6781,x6781,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(681,plain,
% 3.14/3.23     (~P5(x6811,x6811,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(685,plain,
% 3.14/3.23     (~E(f13(f30(x6851,x6852),f30(x6851,x6852),a1),f3(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,229,607,610,612,646,651,654,657,660,678,119,120,130,132,147,148,153,163,165,174,176,203,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332])).
% 3.14/3.23  cnf(689,plain,
% 3.14/3.23     (P4(f6(f9(x6891,a2),a1),f9(x6891,a2),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,229,607,610,612,646,651,654,657,660,678,119,120,130,132,147,148,153,163,165,174,176,203,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475])).
% 3.14/3.23  cnf(690,plain,
% 3.14/3.23     (P4(x6901,x6901,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(697,plain,
% 3.14/3.23     (~P5(x6971,x6971,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(700,plain,
% 3.14/3.23     (~P5(x7001,x7001,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(704,plain,
% 3.14/3.23     (~P4(f3(a1),f5(f30(x7041,x7042),f8(f30(x7041,x7042),a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,229,607,610,612,646,651,654,657,660,678,681,697,119,120,130,132,140,142,147,148,153,163,165,174,176,203,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516])).
% 3.14/3.23  cnf(706,plain,
% 3.14/3.23     (~P4(f3(a1),f5(f8(f30(x7061,x7062),a1),f30(x7061,x7062),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,229,607,610,612,646,651,654,657,660,678,681,697,119,120,130,132,140,142,147,148,153,163,165,174,176,203,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515])).
% 3.14/3.23  cnf(708,plain,
% 3.14/3.23     (~P4(f5(f30(x7081,x7082),f30(x7081,x7082),a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,229,607,610,612,646,651,654,657,660,678,681,697,119,120,130,132,140,142,147,148,153,163,165,174,176,203,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514])).
% 3.14/3.23  cnf(712,plain,
% 3.14/3.23     (~E(f5(f12(f30(x7121,x7122),a1),f12(f30(x7121,x7122),a1),a1),f3(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,229,607,610,612,646,651,654,657,660,678,681,697,119,120,130,132,134,137,140,142,147,148,153,163,165,174,176,203,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334])).
% 3.14/3.23  cnf(715,plain,
% 3.14/3.23     (~P5(x7151,x7151,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(717,plain,
% 3.14/3.23     (~P5(f5(x7171,f3(a1),a1),f5(x7172,f3(a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,229,607,610,612,646,651,654,657,660,678,681,697,700,715,119,120,130,132,134,137,140,142,147,148,153,163,165,174,176,203,205,206,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568])).
% 3.14/3.23  cnf(718,plain,
% 3.14/3.23     (~P5(x7181,x7181,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(721,plain,
% 3.14/3.23     (P4(x7211,x7211,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(735,plain,
% 3.14/3.23     (P21(f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,117,119,120,130,132,134,137,140,142,147,148,153,163,165,174,176,189,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261])).
% 3.14/3.23  cnf(747,plain,
% 3.14/3.23     (P45(f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,117,119,120,130,132,134,137,140,142,147,148,153,163,165,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255])).
% 3.14/3.23  cnf(755,plain,
% 3.14/3.23     (P17(f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,117,119,120,130,132,134,137,140,142,147,148,153,163,165,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251])).
% 3.14/3.23  cnf(773,plain,
% 3.14/3.23     (P8(f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,117,119,120,130,132,134,137,140,142,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242])).
% 3.14/3.23  cnf(779,plain,
% 3.14/3.23     (P40(f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239])).
% 3.14/3.23  cnf(797,plain,
% 3.14/3.23     (P5(f3(a1),f23(x7971,x7972,a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385])).
% 3.14/3.23  cnf(807,plain,
% 3.14/3.23     (P5(f3(a1),f16(x8071,a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316])).
% 3.14/3.23  cnf(809,plain,
% 3.14/3.23     (P5(f3(a1),f15(x8091,a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315])).
% 3.14/3.23  cnf(811,plain,
% 3.14/3.23     (P5(f3(a1),f14(x8111,a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314])).
% 3.14/3.23  cnf(864,plain,
% 3.14/3.23     (E(f30(x8641,f5(x8642,x8643,a1)),f30(x8641,f5(x8643,x8642,a1)))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 3.14/3.23  cnf(873,plain,
% 3.14/3.23     (~P5(f5(x8731,x8731,a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471])).
% 3.14/3.23  cnf(875,plain,
% 3.14/3.23     (P4(f8(f6(x8751,a1),a1),x8751,a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420])).
% 3.14/3.23  cnf(876,plain,
% 3.14/3.23     (P4(x8761,x8761,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(878,plain,
% 3.14/3.23     (P4(f3(a1),f5(x8781,x8781,a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390])).
% 3.14/3.23  cnf(880,plain,
% 3.14/3.23     (~P5(f6(x8801,a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,119,120,130,132,134,137,140,142,144,147,148,153,163,165,171,174,176,189,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363])).
% 3.14/3.23  cnf(910,plain,
% 3.14/3.23     (~E(f5(x9101,x9101,a1),f8(f5(f30(x9102,x9103),f30(x9102,x9103),a1),a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,118,119,120,130,132,134,137,140,142,144,145,147,148,153,163,165,171,174,176,189,193,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469])).
% 3.14/3.23  cnf(912,plain,
% 3.14/3.23     (P5(f3(a1),f5(f30(x9121,x9122),f30(x9121,x9122),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,118,119,120,130,132,134,137,140,142,144,145,147,148,153,163,165,171,174,176,189,193,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379])).
% 3.14/3.23  cnf(924,plain,
% 3.14/3.23     (~P5(f3(a1),f6(f3(a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,229,607,610,612,646,651,654,657,660,678,681,697,700,715,115,117,118,119,120,130,132,134,137,140,142,144,145,147,148,153,163,165,171,174,176,189,193,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378])).
% 3.14/3.23  cnf(1044,plain,
% 3.14/3.23     (~P4(f30(x10441,x10442),f3(a1),f8(f8(a1,a1),a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,163,164,165,168,169,171,174,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67])).
% 3.14/3.23  cnf(1047,plain,
% 3.14/3.23     (~P4(f7(a1),f33(a29,a28),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,163,164,165,168,169,171,174,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393])).
% 3.14/3.23  cnf(1055,plain,
% 3.14/3.23     (~P4(f6(f30(x10551,x10552),a1),f5(f3(a1),f6(x10553,a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,163,164,165,168,169,171,174,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533])).
% 3.14/3.23  cnf(1057,plain,
% 3.14/3.23     (P5(f3(a1),f5(f6(f30(x10571,x10572),a1),f6(f30(x10571,x10572),a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,163,164,165,168,169,171,174,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493])).
% 3.14/3.23  cnf(1059,plain,
% 3.14/3.23     (~P5(f6(x10591,a1),x10591,a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,163,164,165,168,169,171,174,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409])).
% 3.14/3.23  cnf(1065,plain,
% 3.14/3.23     (P4(f3(a1),f9(x10651,a2),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,163,164,165,168,169,171,174,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419])).
% 3.14/3.23  cnf(1071,plain,
% 3.14/3.23     (P4(f3(a1),f8(f3(a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,163,164,165,168,169,171,174,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404])).
% 3.14/3.23  cnf(1087,plain,
% 3.14/3.23     (~P4(f8(f3(a1),a1),f8(f30(x10871,x10872),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,159,163,164,165,168,169,171,174,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,665,221,619,219,225,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456])).
% 3.14/3.23  cnf(1095,plain,
% 3.14/3.23     (P5(f8(f30(x10951,x10952),a1),f8(f3(a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,159,163,164,165,168,169,171,174,175,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,665,221,619,219,225,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422])).
% 3.14/3.23  cnf(1099,plain,
% 3.14/3.23     (P4(f8(a28,a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,159,163,164,165,168,169,171,174,175,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,665,221,619,219,225,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414])).
% 3.14/3.23  cnf(1101,plain,
% 3.14/3.23     (P5(f8(f30(x11011,x11012),a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,159,163,164,165,168,169,171,174,175,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,226,230,665,221,619,219,225,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413])).
% 3.14/3.23  cnf(1113,plain,
% 3.14/3.23     (P4(f5(f3(a1),f3(a1),a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,130,132,134,137,139,140,142,144,145,146,147,148,151,153,159,163,164,165,168,169,171,174,175,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424])).
% 3.14/3.23  cnf(1130,plain,
% 3.14/3.23     (~P5(f8(f8(f30(x11301,x11302),a1),a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,159,161,163,164,165,168,169,171,174,175,176,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473])).
% 3.14/3.23  cnf(1142,plain,
% 3.14/3.23     (P5(f5(f23(x11421,x11422,a1),f3(a1),a1),f5(f23(x11421,x11422,a1),f23(x11421,x11422,a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546])).
% 3.14/3.23  cnf(1144,plain,
% 3.14/3.23     (P5(f5(f16(x11441,a1),f3(a1),a1),f5(f16(x11441,a1),f16(x11441,a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545])).
% 3.14/3.23  cnf(1148,plain,
% 3.14/3.23     (P5(f5(f3(a1),f23(x11481,x11482,a1),a1),f5(f23(x11481,x11482,a1),f23(x11481,x11482,a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542])).
% 3.14/3.23  cnf(1154,plain,
% 3.14/3.23     (~E(f5(f8(f30(x11541,x11542),a1),f8(f30(x11541,x11542),a1),a1),f5(f3(a1),f3(a1),a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,182,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421])).
% 3.14/3.23  cnf(1164,plain,
% 3.14/3.23     (P5(f5(f8(f30(x11641,x11642),a1),f30(x11641,x11642),a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,182,184,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421,512,509,507,506,505])).
% 3.14/3.23  cnf(1166,plain,
% 3.14/3.23     (P5(f5(f30(x11661,x11662),f8(f30(x11661,x11662),a1),a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,182,184,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421,512,509,507,506,505,503])).
% 3.14/3.23  cnf(1168,plain,
% 3.14/3.23     (P5(f3(a1),f5(f23(x11681,x11682,a1),f23(x11681,x11682,a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,182,184,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421,512,509,507,506,505,503,499])).
% 3.14/3.23  cnf(1174,plain,
% 3.14/3.23     (~P5(x11741,x11741,f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,182,184,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421,512,509,507,506,505,503,499,495,589,324])).
% 3.14/3.23  cnf(1201,plain,
% 3.14/3.23     (~P4(f8(f8(f30(x12011,x12012),a1),a1),f8(f30(x12011,x12012),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,182,184,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,218,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421,512,509,507,506,505,503,499,495,589,324,294,95,621,366,365,285,572,571,570,530,529,388,387,418])).
% 3.14/3.23  cnf(1209,plain,
% 3.14/3.23     (P4(x12091,f8(x12092,a26),a26)+~P4(x12092,f8(x12091,a26),a26)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,131,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,161,163,164,165,168,169,171,174,175,176,178,180,182,184,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,218,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421,512,509,507,506,505,503,499,495,589,324,294,95,621,366,365,285,572,571,570,530,529,388,387,418,416,402,455,443])).
% 3.14/3.23  cnf(1227,plain,
% 3.14/3.23     (P5(f5(f3(a1),f3(a1),a1),f3(a1),a1)+~P5(f5(f3(a1),x12271,a1),f5(f5(f3(a1),f3(a1),a1),x12271,a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,131,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,160,161,163,164,165,168,169,171,174,175,176,178,180,182,184,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,218,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421,512,509,507,506,505,503,499,495,589,324,294,95,621,366,365,285,572,571,570,530,529,388,387,418,416,402,455,443,356,354,468,467,465,463,462,350,562])).
% 3.14/3.23  cnf(1229,plain,
% 3.14/3.23     (P5(f5(f3(a1),f3(a1),a1),f3(a1),a1)+~P5(f5(x12291,f3(a1),a1),f5(x12291,f5(f3(a1),f3(a1),a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,216,604,614,616,637,690,721,876,229,607,610,612,646,651,654,657,660,678,681,697,700,715,718,115,116,117,118,119,120,124,127,130,131,132,134,137,139,140,142,144,145,146,147,148,151,153,155,159,160,161,163,164,165,168,169,171,174,175,176,178,180,182,184,187,189,191,193,195,197,200,203,205,206,207,210,213,217,223,231,226,230,665,221,619,218,219,225,228,222,227,2,325,389,297,72,71,66,65,3,451,398,397,344,342,410,513,274,472,532,531,417,415,272,446,444,441,427,426,425,367,328,277,276,275,464,461,407,332,408,475,565,564,527,526,521,516,515,514,335,334,569,568,588,358,331,357,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,386,385,320,319,318,317,316,315,314,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,471,420,390,363,352,339,337,329,326,296,295,287,286,281,266,265,470,377,469,379,528,477,454,431,429,378,364,362,330,312,310,309,307,304,303,302,301,300,291,290,289,270,269,268,595,594,593,559,558,557,556,555,554,553,492,491,490,488,487,484,483,481,480,478,459,458,450,439,437,436,435,433,432,383,382,381,380,353,599,598,597,560,460,563,114,73,67,395,393,391,384,360,533,493,409,284,283,419,406,405,404,403,361,346,345,311,273,327,456,449,447,423,422,428,414,413,412,411,355,476,466,424,401,375,369,351,288,552,321,473,551,550,549,548,547,546,545,543,542,541,539,421,512,509,507,506,505,503,499,495,589,324,294,95,621,366,365,285,572,571,570,530,529,388,387,418,416,402,455,443,356,354,468,467,465,463,462,350,562,561])).
% 3.14/3.23  cnf(1232,plain,
% 3.14/3.23     (P4(x12321,f8(f8(x12321,a26),a26),a26)),
% 3.14/3.23     inference(scs_inference,[],[628,1209])).
% 3.14/3.23  cnf(1233,plain,
% 3.14/3.23     (P4(x12331,x12331,a26)),
% 3.14/3.23     inference(rename_variables,[],[628])).
% 3.14/3.23  cnf(1236,plain,
% 3.14/3.23     (P4(f3(a1),f5(x12361,x12361,a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[878])).
% 3.14/3.23  cnf(1238,plain,
% 3.14/3.23     (P4(f3(a26),f5(f3(a26),f3(a26),a26),a26)),
% 3.14/3.23     inference(scs_inference,[],[183,140,628,1233,878,704,1209,518,498])).
% 3.14/3.23  cnf(1239,plain,
% 3.14/3.23     (P4(x12391,x12391,a26)),
% 3.14/3.23     inference(rename_variables,[],[628])).
% 3.14/3.23  cnf(1241,plain,
% 3.14/3.23     (P4(x12411,x12411,f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[183,140,628,1233,735,878,704,1209,518,498,293])).
% 3.14/3.23  cnf(1250,plain,
% 3.14/3.23     (P4(x12501,f6(x12501,a26),a26)),
% 3.14/3.23     inference(rename_variables,[],[630])).
% 3.14/3.23  cnf(1252,plain,
% 3.14/3.23     (P4(f3(a26),f5(f5(f3(a26),f3(a26),a26),f5(f3(a26),f3(a26),a26),a26),a26)),
% 3.14/3.23     inference(scs_inference,[],[183,185,142,140,219,628,1233,630,643,735,773,878,704,1209,518,498,293,313,582,581,502,501])).
% 3.14/3.23  cnf(1254,plain,
% 3.14/3.23     (P4(f3(f27(a1)),f5(f3(f27(a1)),f3(f27(a1)),f27(a1)),f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[183,185,142,140,219,628,1233,630,643,735,773,779,878,704,1209,518,498,293,313,582,581,502,501,500])).
% 3.14/3.23  cnf(1260,plain,
% 3.14/3.23     (P4(f8(f3(a26),a26),f3(a26),a26)),
% 3.14/3.23     inference(scs_inference,[],[133,183,185,164,142,140,219,648,628,1233,1239,630,643,735,773,779,878,704,1209,518,498,293,313,582,581,502,501,500,389,283,405])).
% 3.14/3.23  cnf(1264,plain,
% 3.14/3.23     (P5(f8(f8(f3(a1),a1),a1),f30(x12641,x12642),a1)),
% 3.14/3.23     inference(scs_inference,[],[133,183,185,164,142,174,140,219,648,628,1233,1239,630,643,1095,735,773,779,878,704,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446])).
% 3.14/3.23  cnf(1266,plain,
% 3.14/3.23     (~P4(f30(x12661,x12662),f8(f8(f3(a1),a1),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[133,183,185,164,142,174,140,219,648,628,1233,1239,630,643,1087,1095,735,773,779,878,704,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443])).
% 3.14/3.23  cnf(1269,plain,
% 3.14/3.23     (~P5(x12691,x12691,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(1271,plain,
% 3.14/3.23     (~P4(f34(f30(x12711,x12712)),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[133,183,185,229,230,218,164,142,205,174,140,219,648,628,1233,1239,630,643,1087,1095,735,773,779,878,704,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465])).
% 3.14/3.23  cnf(1272,plain,
% 3.14/3.23     (~P5(f34(x12721),x12721,a1)),
% 3.14/3.23     inference(rename_variables,[],[230])).
% 3.14/3.23  cnf(1275,plain,
% 3.14/3.23     (~P5(f34(x12751),x12751,a1)),
% 3.14/3.23     inference(rename_variables,[],[230])).
% 3.14/3.23  cnf(1277,plain,
% 3.14/3.23     (~P4(f8(f3(a1),a1),f5(f8(f30(x12771,x12772),a1),f30(x12771,x12772),a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,133,183,185,229,230,1272,218,164,142,205,203,174,140,219,648,659,628,1233,1239,630,643,1087,1095,735,773,779,878,704,1164,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462])).
% 3.14/3.23  cnf(1280,plain,
% 3.14/3.23     (P4(x12801,x12801,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(1283,plain,
% 3.14/3.23     (~P5(f5(x12831,x12831,a1),f3(a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[873])).
% 3.14/3.23  cnf(1286,plain,
% 3.14/3.23     (~P5(f5(x12861,x12861,a1),f3(a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[873])).
% 3.14/3.23  cnf(1293,plain,
% 3.14/3.23     (P4(f3(a1),f5(x12931,x12931,a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[878])).
% 3.14/3.23  cnf(1295,plain,
% 3.14/3.23     (~P5(f15(x12951,a1),f3(a1),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,133,183,185,216,1280,229,230,1272,218,164,180,182,142,231,205,203,174,117,140,219,648,659,628,1233,1239,685,630,643,1087,1095,735,773,779,873,1283,1286,878,1236,704,706,1164,809,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505])).
% 3.14/3.23  cnf(1296,plain,
% 3.14/3.23     (~P5(f5(x12961,x12961,a1),f3(a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[873])).
% 3.14/3.23  cnf(1299,plain,
% 3.14/3.23     (~P5(f5(x12991,x12991,a1),f3(a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[873])).
% 3.14/3.23  cnf(1302,plain,
% 3.14/3.23     (~P5(f5(x13021,x13021,a1),f3(a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[873])).
% 3.14/3.23  cnf(1304,plain,
% 3.14/3.23     (P4(x13041,f34(x13041),a1)),
% 3.14/3.23     inference(scs_inference,[],[220,133,183,185,216,1280,229,230,1272,1275,218,164,180,182,119,142,231,205,203,174,117,140,219,648,659,628,1233,1239,685,712,630,643,1087,1095,735,773,779,873,1283,1286,1296,1299,878,1236,704,706,1164,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342])).
% 3.14/3.23  cnf(1317,plain,
% 3.14/3.23     (P4(x13171,x13171,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(1320,plain,
% 3.14/3.23     (P4(x13201,x13201,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(1326,plain,
% 3.14/3.23     (~P5(f5(f3(f27(a1)),x13261,f27(a1)),f5(f3(f27(a1)),x13262,f27(a1)),f27(a1))),
% 3.14/3.23     inference(scs_inference,[],[220,133,183,185,216,1280,1317,229,230,1272,1275,218,164,180,182,184,163,119,142,231,205,203,217,174,117,140,219,648,1174,659,628,1233,1239,685,712,630,643,1087,1095,735,755,773,779,873,1283,1286,1296,1299,878,1236,797,704,706,1164,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569])).
% 3.14/3.23  cnf(1327,plain,
% 3.14/3.23     (~P5(x13271,x13271,f27(a1))),
% 3.14/3.23     inference(rename_variables,[],[1174])).
% 3.14/3.23  cnf(1330,plain,
% 3.14/3.23     (~P5(x13301,x13301,f27(a1))),
% 3.14/3.23     inference(rename_variables,[],[1174])).
% 3.14/3.23  cnf(1335,plain,
% 3.14/3.23     (~P5(x13351,x13351,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(1339,plain,
% 3.14/3.23     (~P4(f30(x13391,x13392),f6(f3(a1),a1),f8(f8(a1,a1),a1))),
% 3.14/3.23     inference(scs_inference,[],[220,133,183,185,216,1280,1317,229,1269,230,1272,1275,218,164,180,182,184,163,119,142,231,205,203,217,174,117,140,219,606,648,1174,1327,659,1044,628,1233,1239,685,712,630,643,1087,1095,735,755,773,779,873,1283,1286,1296,1299,878,1236,912,797,704,706,1164,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66])).
% 3.14/3.23  cnf(1344,plain,
% 3.14/3.23     (P4(f8(f5(x13441,x13441,a1),a1),f5(x13442,x13442,a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[228])).
% 3.14/3.23  cnf(1347,plain,
% 3.14/3.23     (P4(x13471,x13471,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(1370,plain,
% 3.14/3.23     (~P5(x13701,x13701,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(1373,plain,
% 3.14/3.23     (~P5(x13731,x13731,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(1376,plain,
% 3.14/3.23     (P4(f3(a1),f5(x13761,x13761,a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[878])).
% 3.14/3.23  cnf(1381,plain,
% 3.14/3.23     (P4(f8(f5(x13811,x13811,a1),a1),f5(x13812,x13812,a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[228])).
% 3.14/3.23  cnf(1398,plain,
% 3.14/3.23     (E(x13981,f8(f8(x13981,a1),a1))),
% 3.14/3.23     inference(scs_inference,[],[220,133,166,183,185,216,1280,1317,1320,1347,229,1269,1335,1370,131,230,1272,1275,218,228,1344,1381,164,180,182,184,148,163,119,142,231,205,203,217,174,117,140,219,130,1113,606,648,1174,1327,659,910,1044,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,735,755,773,779,1055,708,873,1283,1286,1296,1299,878,1236,1293,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350])).
% 3.14/3.23  cnf(1402,plain,
% 3.14/3.23     (P4(x14021,x14021,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(1405,plain,
% 3.14/3.23     (P4(x14051,x14051,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(1408,plain,
% 3.14/3.23     (P4(x14081,x14081,a1)),
% 3.14/3.23     inference(rename_variables,[],[216])).
% 3.14/3.23  cnf(1417,plain,
% 3.14/3.23     (~P5(x14171,x14171,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(1425,plain,
% 3.14/3.23     (P5(f3(a1),f30(x14251,x14252),f8(f8(a1,a1),a1))),
% 3.14/3.23     inference(scs_inference,[],[220,133,166,183,185,224,216,1280,1317,1320,1347,1402,1405,229,1269,1335,1370,1373,131,230,1272,1275,218,228,1344,1381,164,180,182,184,189,148,163,119,142,231,205,203,217,174,117,140,219,130,1113,606,1071,1154,648,1174,1327,659,632,910,1044,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,735,755,773,779,1055,708,873,1283,1286,1296,1299,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73])).
% 3.14/3.23  cnf(1430,plain,
% 3.14/3.23     (~E(f8(f30(x14301,x14302),a1),f30(x14301,x14302))),
% 3.14/3.23     inference(rename_variables,[],[648])).
% 3.14/3.23  cnf(1432,plain,
% 3.14/3.23     (~P5(x14321,x14321,a1)),
% 3.14/3.23     inference(rename_variables,[],[229])).
% 3.14/3.23  cnf(1434,plain,
% 3.14/3.23     (~P5(f5(x14341,x14341,a1),f3(a1),a1)),
% 3.14/3.23     inference(rename_variables,[],[873])).
% 3.14/3.23  cnf(1437,plain,
% 3.14/3.23     (~E(a26,x14371)+P35(x14371)),
% 3.14/3.23     inference(scs_inference,[],[220,133,166,179,183,185,224,216,1280,1317,1320,1347,1402,1405,229,1269,1335,1370,1373,1417,131,230,1272,1275,218,228,1344,1381,164,180,182,184,189,148,163,119,142,231,205,203,217,174,117,140,219,130,1113,864,606,1071,1154,648,1174,1327,659,632,910,1044,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,735,755,773,779,1055,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113])).
% 3.14/3.23  cnf(1453,plain,
% 3.14/3.23     (P21(f8(f8(a1,a1),a1))),
% 3.14/3.23     inference(scs_inference,[],[220,133,149,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,229,1269,1335,1370,1373,1417,131,151,155,159,161,193,195,230,1272,1275,218,228,1344,1381,164,180,182,184,189,148,200,207,144,163,171,119,142,231,205,203,217,174,117,140,219,130,1113,864,606,1071,1154,648,1174,1327,659,632,910,1044,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,735,755,773,779,1055,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96])).
% 3.14/3.23  cnf(1472,plain,
% 3.14/3.23     (P20(f8(f8(a1,a1),a1))),
% 3.14/3.23     inference(scs_inference,[],[220,133,149,157,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,229,1269,1335,1370,1373,1417,124,127,131,134,137,151,155,159,161,193,195,230,1272,1275,218,228,1344,1381,164,168,180,182,184,189,197,210,148,200,207,213,144,176,163,165,171,132,119,142,231,205,203,217,153,174,147,117,140,219,130,1113,864,606,1071,1154,648,1174,1327,659,632,910,1044,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,735,755,773,779,1055,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76])).
% 3.14/3.23  cnf(1475,plain,
% 3.14/3.23     (P2(f8(f8(a1,a1),a1))),
% 3.14/3.24     inference(scs_inference,[],[220,121,133,149,157,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,229,1269,1335,1370,1373,1417,124,127,131,134,137,151,155,159,161,193,195,230,1272,1275,218,228,1344,1381,164,168,180,182,184,189,197,210,148,200,207,213,144,176,163,165,171,132,119,142,231,205,203,217,153,174,147,117,140,219,130,1113,864,606,1071,1154,648,1174,1327,659,632,910,1044,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,735,755,773,779,1055,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,70])).
% 3.14/3.24  cnf(1485,plain,
% 3.14/3.24     (~E(f12(f30(x14851,x14852),a2),f3(a2))),
% 3.14/3.24     inference(scs_inference,[],[220,121,133,149,157,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,1408,229,1269,1335,1370,1373,1417,124,127,131,134,137,151,155,159,161,193,195,230,1272,1275,218,228,1344,1381,164,168,180,182,184,189,197,210,148,200,207,213,144,176,163,165,171,132,119,142,231,205,203,217,153,174,147,117,115,140,219,130,1113,864,606,1071,1154,648,1174,1327,659,632,910,1044,609,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,622,735,755,773,779,1055,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,70,69,68,64,584,575,580,274])).
% 3.14/3.24  cnf(1487,plain,
% 3.14/3.24     (~P5(f3(a26),f8(f3(a26),a26),a26)),
% 3.14/3.24     inference(scs_inference,[],[220,121,133,149,157,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,1408,229,1269,1335,1370,1373,1417,124,127,131,134,137,151,155,159,161,193,195,230,1272,1275,218,228,1344,1381,164,168,180,182,184,189,197,210,148,200,207,213,144,176,163,165,171,132,119,142,231,205,203,217,153,174,147,117,115,140,219,130,1113,864,606,1071,1154,648,1174,1327,659,632,910,1044,609,601,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,622,735,755,773,779,1055,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,70,69,68,64,584,575,580,274,415])).
% 3.14/3.24  cnf(1489,plain,
% 3.14/3.24     (~P4(f8(f5(f8(f30(x14891,x14892),a1),f30(x14891,x14892),a1),a1),f3(a1),a1)),
% 3.14/3.24     inference(scs_inference,[],[220,121,133,149,157,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,1408,229,1269,1335,1370,1373,1417,124,127,131,134,137,151,155,159,161,193,195,230,1272,1275,218,228,1344,1381,164,168,180,182,184,189,197,210,148,200,207,213,144,176,163,165,171,132,119,142,231,205,203,217,153,174,147,117,115,140,219,130,1113,864,606,1071,1154,648,1174,1327,659,632,910,1044,609,601,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,622,735,755,773,779,1055,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,70,69,68,64,584,575,580,274,415,428])).
% 3.14/3.24  cnf(1491,plain,
% 3.14/3.24     (~P5(f8(f3(a26),a26),f3(a26),a26)),
% 3.14/3.24     inference(scs_inference,[],[220,121,133,149,157,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,1408,229,1269,1335,1370,1373,1417,124,127,131,134,137,151,155,159,161,193,195,230,1272,1275,218,228,1344,1381,164,168,180,182,184,189,197,210,148,200,207,213,175,144,176,163,165,171,132,119,142,231,205,203,217,153,174,147,117,115,140,219,130,1113,864,606,1071,1154,648,1174,1327,659,632,910,1044,609,601,628,1233,1239,685,712,630,1250,643,1059,1087,1095,650,656,1201,1142,1148,622,735,755,773,779,1055,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,70,69,68,64,584,575,580,274,415,428,427])).
% 3.14/3.24  cnf(1520,plain,
% 3.14/3.24     (~P5(f6(f3(a26),a26),f3(a26),a26)),
% 3.14/3.24     inference(scs_inference,[],[220,121,125,128,133,149,157,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,1408,229,1269,1335,1370,1373,1417,124,127,131,134,137,151,155,159,161,193,195,230,1272,1275,218,228,1344,1381,164,168,180,182,184,189,197,210,148,191,200,207,213,175,144,176,163,165,171,132,119,142,231,205,203,217,153,174,147,117,115,140,219,130,1113,864,606,1071,1154,648,1430,1174,1327,1330,659,632,910,1044,609,601,628,1233,1239,685,712,603,630,1250,643,1059,1087,1095,650,656,875,689,1201,1142,1148,622,717,735,755,773,779,1055,1099,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,880,1101,1130,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,70,69,68,64,584,575,580,274,415,428,427,288,473,549,402,425,401,531,413,468,369,114,472,444])).
% 3.14/3.24  cnf(1532,plain,
% 3.14/3.24     (~P4(f30(x15321,x15322),f5(f3(a1),f3(a1),a1),a1)),
% 3.14/3.24     inference(scs_inference,[],[220,121,125,128,133,149,157,166,179,183,185,186,224,216,1280,1317,1320,1347,1402,1405,1408,229,1269,1335,1370,1373,1417,1432,124,127,131,134,137,151,155,159,161,178,193,195,230,1272,1275,218,228,1344,1381,164,168,180,182,184,189,197,210,148,191,200,207,213,175,144,176,163,165,171,132,119,142,231,205,203,217,153,174,147,117,115,140,219,130,1113,864,606,1071,1154,648,1430,1174,1327,1330,659,632,910,1044,609,601,628,1233,1239,685,712,603,630,1250,643,1059,1087,1095,650,656,875,689,1201,1142,1148,1144,622,717,735,755,773,779,1055,1099,708,873,1283,1286,1296,1299,1302,1434,878,1236,1293,1376,912,797,924,1168,704,706,1164,1057,662,667,807,809,811,880,1101,1130,1209,518,498,293,313,582,581,502,501,500,389,283,405,346,446,443,466,465,463,462,552,562,561,548,541,516,505,503,360,342,572,571,416,403,412,509,507,358,397,569,568,499,513,344,66,398,384,533,493,409,284,449,447,423,355,476,551,539,527,526,515,514,451,395,393,391,366,365,456,351,350,512,506,588,420,410,414,72,532,422,331,2,73,67,65,3,71,1229,1227,113,112,111,110,109,108,107,106,105,104,103,102,101,100,98,97,96,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,70,69,68,64,584,575,580,274,415,428,427,288,473,549,402,425,401,531,413,468,369,114,472,444,475,550,276,464,467])).
% 3.14/3.24  cnf(1589,plain,
% 3.14/3.24     (P4(x15891,x15891,a1)),
% 3.14/3.24     inference(rename_variables,[],[216])).
% 3.14/3.24  cnf(1595,plain,
% 3.14/3.24     (P4(x15951,x15951,a1)),
% 3.14/3.24     inference(rename_variables,[],[216])).
% 3.14/3.24  cnf(1600,plain,
% 3.14/3.24     (P4(x16001,x16001,a1)),
% 3.14/3.24     inference(rename_variables,[],[216])).
% 3.14/3.24  cnf(1605,plain,
% 3.14/3.24     (P4(x16051,x16051,a1)),
% 3.14/3.24     inference(rename_variables,[],[216])).
% 3.14/3.24  cnf(1619,plain,
% 3.14/3.24     (P4(x16191,x16191,a1)),
% 3.14/3.24     inference(rename_variables,[],[216])).
% 3.14/3.24  cnf(1623,plain,
% 3.14/3.24     (P5(f6(f3(a1),a1),f30(x16231,x16232),f8(f8(a1,a1),a1))),
% 3.14/3.24     inference(scs_inference,[],[162,177,185,120,141,216,1589,1595,1600,1605,223,175,180,182,118,142,174,140,219,1475,1260,1238,1339,1487,1398,1047,1304,1264,1485,1271,1491,1295,1166,669,873,878,1437,517,496,582,581,584,389,443,455,552,321,548,509,507,564,404,505,541,358,342])).
% 3.14/3.24  cnf(1658,plain,
% 3.14/3.24     (P4(x16581,x16581,a1)),
% 3.14/3.24     inference(rename_variables,[],[216])).
% 3.14/3.24  cnf(1661,plain,
% 3.14/3.24     (P4(f6(f5(x16611,x16611,a1),a1),f5(x16611,x16611,a1),a1)),
% 3.14/3.24     inference(scs_inference,[],[224,162,177,185,206,120,141,216,1589,1595,1600,1605,1619,1658,229,230,223,228,175,180,182,189,118,147,205,142,174,140,219,1475,1453,1260,1238,1339,1487,1254,1398,1425,1047,1326,1304,1532,1264,1485,1277,1232,1271,1491,1295,1166,669,1174,656,735,873,878,1065,755,1437,517,496,582,581,584,389,443,455,552,321,548,509,507,564,404,505,541,358,342,468,456,464,513,366,532,344,446,397,466,331,589,424,66,447,475])).
% 3.14/3.24  cnf(1826,plain,
% 3.14/3.24     (P4(x18261,x18261,f27(a1))),
% 3.14/3.24     inference(rename_variables,[],[1241])).
% 3.14/3.24  cnf(1838,plain,
% 3.14/3.24     ($false),
% 3.14/3.24     inference(scs_inference,[],[224,162,230,120,140,1623,1252,1241,1826,1266,1661,747,1520,1489,1472,1059,878,755,220,518,389,321,512,395,393,360,443,513]),
% 3.14/3.24     ['proof']).
% 3.14/3.24  % SZS output end Proof
% 3.14/3.24  % Total time :2.490000s
%------------------------------------------------------------------------------