TSTP Solution File: ALG383-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG383-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 15:59:46 EDT 2023
% Result : Unsatisfiable 5.03s 5.13s
% Output : CNFRefutation 5.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG383-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 04:01:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.45/0.59 start to proof:theBenchmark
% 4.98/5.07 %-------------------------------------------
% 4.98/5.07 % File :CSE---1.6
% 4.98/5.07 % Problem :theBenchmark
% 4.98/5.07 % Transform :cnf
% 4.98/5.07 % Format :tptp:raw
% 4.98/5.07 % Command :java -jar mcs_scs.jar %d %s
% 4.98/5.07
% 4.98/5.07 % Result :Theorem 4.180000s
% 4.98/5.07 % Output :CNFRefutation 4.180000s
% 4.98/5.07 %-------------------------------------------
% 4.98/5.08 %------------------------------------------------------------------------------
% 4.98/5.08 % File : ALG383-1 : TPTP v8.1.2. Released v4.1.0.
% 4.98/5.08 % Domain : General Algebra
% 4.98/5.08 % Problem : Fundamental theorem of algebra 0509_69
% 4.98/5.08 % Version : Especial.
% 4.98/5.08 % English :
% 4.98/5.08
% 4.98/5.08 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 4.98/5.08 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 4.98/5.08 % Source : [Nip10]
% 4.98/5.08 % Names : Fundamental_Theorem_Algebra-0509_69 [Nip10]
% 4.98/5.08
% 4.98/5.08 % Status : Unsatisfiable
% 4.98/5.08 % Rating : 0.05 v8.1.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.30 v5.5.0, 0.40 v5.4.0, 0.45 v5.3.0, 0.44 v5.1.0, 0.53 v5.0.0, 0.43 v4.1.0
% 4.98/5.08 % Syntax : Number of clauses : 987 ( 202 unt; 67 nHn; 653 RR)
% 4.98/5.08 % Number of literals : 2386 ( 451 equ;1361 neg)
% 4.98/5.08 % Maximal clause size : 6 ( 2 avg)
% 4.98/5.08 % Maximal term depth : 6 ( 1 avg)
% 4.98/5.08 % Number of predicates : 73 ( 72 usr; 0 prp; 1-3 aty)
% 4.98/5.08 % Number of functors : 38 ( 38 usr; 9 con; 0-3 aty)
% 4.98/5.08 % Number of variables : 2316 ( 125 sgn)
% 4.98/5.08 % SPC : CNF_UNS_RFO_SEQ_NHN
% 4.98/5.08
% 4.98/5.08 % Comments :
% 4.98/5.08 %------------------------------------------------------------------------------
% 4.98/5.08 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 4.98/5.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.98/5.08 | 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) ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 4.98/5.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.98/5.08 | 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) ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_zero__less__norm__iff_0,axiom,
% 4.98/5.08 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 4.98/5.08 | ~ 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) ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_norm__add__less_0,axiom,
% 4.98/5.08 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 4.98/5.08 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.98/5.08 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 4.98/5.08 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_abs__le__zero__iff_0,axiom,
% 4.98/5.08 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 4.98/5.08 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 4.98/5.08 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_not__exp__less__zero_0,axiom,
% 4.98/5.08 ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_min__max_Oinf__idem_0,axiom,
% 4.98/5.08 ( ~ class_Orderings_Olinorder(T_a)
% 4.98/5.08 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_estimate__by__abs_0,axiom,
% 4.98/5.08 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 4.98/5.08 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 4.98/5.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_real__sqrt__not__eq__zero_0,axiom,
% 4.98/5.08 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.98/5.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_neg__equal__iff__equal_0,axiom,
% 4.98/5.08 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.98/5.08 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 4.98/5.08 | V_a = V_b ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_compl__eq__compl__iff_0,axiom,
% 4.98/5.08 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.98/5.08 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 4.98/5.08 | V_x = V_y ) ).
% 4.98/5.08
% 4.98/5.08 cnf(cls_power__gt1__lemma_0,axiom,
% 4.98/5.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 5.03/5.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_linorder__neqE_0,axiom,
% 5.03/5.08 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.08 | V_x = V_y ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_linorder__less__linear_0,axiom,
% 5.03/5.08 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 5.03/5.08 | V_x = V_y
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_linorder__antisym__conv3_0,axiom,
% 5.03/5.08 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.08 | V_x = V_y
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 5.03/5.08 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.08 | V_x = V_y
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 5.03/5.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.08 | V_x = V_y ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_arctan__zero__zero_0,axiom,
% 5.03/5.08 c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_min__max_Osup__idem_0,axiom,
% 5.03/5.08 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.08 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_abs__of__nonneg_0,axiom,
% 5.03/5.08 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.08 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 5.03/5.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_less__infI1_0,axiom,
% 5.03/5.08 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.08 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_less__infI2_0,axiom,
% 5.03/5.08 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.08 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.08 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_abs__mult_0,axiom,
% 5.03/5.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.08 | 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) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_abs__eq__mult_0,axiom,
% 5.03/5.08 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 5.03/5.08 | 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)
% 5.03/5.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_abs__eq__mult_1,axiom,
% 5.03/5.08 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 5.03/5.08 | 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)
% 5.03/5.08 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_abs__eq__mult_2,axiom,
% 5.03/5.08 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 5.03/5.08 | 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)
% 5.03/5.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_abs__eq__mult_3,axiom,
% 5.03/5.08 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 5.03/5.08 | 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)
% 5.03/5.08 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_minus__mult__left_0,axiom,
% 5.03/5.08 ( ~ class_Ring__and__Field_Oring(T_a)
% 5.03/5.08 | 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) ) ).
% 5.03/5.08
% 5.03/5.08 cnf(cls_minus__mult__right_0,axiom,
% 5.03/5.08 ( ~ class_Ring__and__Field_Oring(T_a)
% 5.03/5.08 | 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) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__add__le__0__iff_1,axiom,
% 5.03/5.09 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.09 | ~ c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__add__le__0__iff_0,axiom,
% 5.03/5.09 ( c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_le__eq__neg_0,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_le__eq__neg_1,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.09 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_less__add__one_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__left__idem_0,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 5.03/5.09 | 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) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_eq__poly__code_I2_J_0,axiom,
% 5.03/5.09 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.09 | ~ class_HOL_Oeq(T_a)
% 5.03/5.09 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.09 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_eq__poly__code_I2_J_1,axiom,
% 5.03/5.09 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.09 | ~ class_HOL_Oeq(T_a)
% 5.03/5.09 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a))
% 5.03/5.09 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_power__eq__0__iff_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 5.03/5.09 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 5.03/5.09 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 5.03/5.09 | ~ class_Power_Opower(T_a)
% 5.03/5.09 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_field__power__not__zero_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 5.03/5.09 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_neg__le__0__iff__le_0,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_neg__le__0__iff__le_1,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__squared__diff__one__factored_0,axiom,
% 5.03/5.09 c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__mult__is__one_0,axiom,
% 5.03/5.09 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 5.03/5.09 | V_x = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.09 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_zero__less__norm__iff_1,axiom,
% 5.03/5.09 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_abs__less__iff_2,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.09 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__le__0__iff_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__le__0__iff_1,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__le__0__iff_2,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__le__0__iff_3,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.09 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__neg__pos_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__pos__neg_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__pos__neg2_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_abs__le__interval__iff_0,axiom,
% 5.03/5.09 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_abs__le__D2_0,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_add__minus__cancel_0,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.09 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__sqrt__ge__0__iff_1,axiom,
% 5.03/5.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__sqrt__ge__0__iff_0,axiom,
% 5.03/5.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__sqrt__ge__zero_0,axiom,
% 5.03/5.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_pos__add__strict_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_cnj_Oadd_0,axiom,
% 5.03/5.09 c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__sqrt__eq__iff_0,axiom,
% 5.03/5.09 ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y)
% 5.03/5.09 | V_x = V_y ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_exp__inj__iff_0,axiom,
% 5.03/5.09 ( c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) != c_Transcendental_Oexp(V_y,tc_RealDef_Oreal)
% 5.03/5.09 | V_x = V_y ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_eq__poly__code_I2_J_2,axiom,
% 5.03/5.09 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.09 | ~ class_HOL_Oeq(T_a)
% 5.03/5.09 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a))
% 5.03/5.09 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a))
% 5.03/5.09 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_power__less__power__Suc_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.09 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__mono1_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.09 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__left__mono_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.09 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__right__mono_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.09 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__left__mono__neg_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__right__mono__neg_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.09 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.09 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 5.03/5.09 | V_c = V_d
% 5.03/5.09 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__sum__squares__cancel_0,axiom,
% 5.03/5.09 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.09 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_real__sum__squares__cancel2_0,axiom,
% 5.03/5.09 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.09 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.09 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.09 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_pos__poly__add_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.09 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a)
% 5.03/5.09 | ~ c_Polynomial_Opos__poly(V_q,T_a)
% 5.03/5.09 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_smult__pCons_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.09 | c_Polynomial_Osmult(V_a,c_Polynomial_OpCons(V_b,V_p,T_a),T_a) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_Polynomial_Osmult(V_a,V_p,T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__idem_0,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 5.03/5.09 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_mult__strict__mono_H_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.09 | 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)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_complex__Re__mult_0,axiom,
% 5.03/5.09 c_Complex_ORe(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Complex_OIm(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_less__eqI_1,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.09 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 5.03/5.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_less__eqI_0,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.09 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 5.03/5.09 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 5.03/5.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.09 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_power__mult__distrib_0,axiom,
% 5.03/5.09 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 5.03/5.09 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 5.03/5.09 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.09 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 5.03/5.09 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.09 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_complex__In__mult__cnj__zero_0,axiom,
% 5.03/5.09 c_Complex_OIm(c_HOL_Otimes__class_Otimes(V_z,c_Complex_Ocnj(V_z),tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_split__mult__pos__le_0,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.09
% 5.03/5.09 cnf(cls_split__mult__pos__le_1,axiom,
% 5.03/5.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_zero__le__square_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_zero__le__mult__iff_4,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_zero__le__mult__iff_5,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_norm__mult__less_0,axiom,
% 5.03/5.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.10 | 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)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__0__less__add__iff_0,axiom,
% 5.03/5.10 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__0__less__add__iff_1,axiom,
% 5.03/5.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.10 | 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.10 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_add__nonpos__neg_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_add__neg__nonpos_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_neg__less__iff__less_1,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.10 | 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)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_neg__less__iff__less_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.10 | ~ 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_one__neq__zero_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 5.03/5.10 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_inf__left__commute_0,axiom,
% 5.03/5.10 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.10 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_inf__assoc_0,axiom,
% 5.03/5.10 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.10 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 5.03/5.10 ( ~ class_Lattices_Olattice(T_a)
% 5.03/5.10 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 5.03/5.10 ( ~ class_Lattices_Olattice(T_a)
% 5.03/5.10 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_not__pos__poly__0_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.10 | ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__less__iff_1,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_power__less__imp__less__base_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_zero__less__mult__pos2_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.10 | ~ 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_zero__less__mult__pos_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.10 | ~ 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__pos__pos_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.10 | 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)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__neg__neg_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.10 | 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)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__mult__order_0,axiom,
% 5.03/5.10 ( 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)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_even__less__0__iff_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_even__less__0__iff_1,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__eq__0__iff_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_no__zero__divisors_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_offset__poly__eq__0__lemma_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.10 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_c,V_p,T_a),c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 5.03/5.10 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.10 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 5.03/5.10 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.10 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 5.03/5.10 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_double__eq__0__iff_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.10 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.10 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_right__minus__eq_1,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.10 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_diff__0__right_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.10 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_diff__self_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.10 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.10 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.10 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__of__neg_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.10 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__if_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 5.03/5.10 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__if__lattice_0,axiom,
% 5.03/5.10 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.10 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 5.03/5.10 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__abs__def_0,axiom,
% 5.03/5.10 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_square__eq__iff_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 5.03/5.10 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 5.03/5.10 | V_a = V_b ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__less__imp__less__right_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.10 | ~ 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__less__imp__less__left_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.10 | ~ 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__right__less__imp__less_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.10 | ~ 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__left__less__imp__less_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.10 | ~ 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.10 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.10 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 5.03/5.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__add__minus__iff_0,axiom,
% 5.03/5.10 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.10 | V_x = V_a ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_exp__le__one__iff_1,axiom,
% 5.03/5.10 ( c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_exp__le__one__iff_0,axiom,
% 5.03/5.10 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__sqrt__eq__1__iff_0,axiom,
% 5.03/5.10 ( c_NthRoot_Osqrt(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 5.03/5.10 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__sum__triangle__ineq_0,axiom,
% 5.03/5.10 c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_inf__bot__right_0,axiom,
% 5.03/5.10 ( ~ class_Lattices_Obounded__lattice(T_a)
% 5.03/5.10 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_inf__bot__left_0,axiom,
% 5.03/5.10 ( ~ class_Lattices_Obounded__lattice(T_a)
% 5.03/5.10 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_sum__squares__ge__zero_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__mult__self__sum__ge__zero_0,axiom,
% 5.03/5.10 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_smult__add__left_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.10 | c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_p,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_smult__add__right_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.10 | c_Polynomial_Osmult(V_a,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_one__le__exp__iff_1,axiom,
% 5.03/5.10 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_one__le__exp__iff_0,axiom,
% 5.03/5.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_le__add__iff2_1,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_le__add__iff2_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.10 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_le__add__iff1_1,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_le__add__iff1_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_eq__poly__code_I4_J_2,axiom,
% 5.03/5.10 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.10 | ~ class_HOL_Oeq(T_a)
% 5.03/5.10 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a))
% 5.03/5.10 | ~ c_HOL_Oeq__class_Oeq(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 5.03/5.10 | ~ c_HOL_Oeq__class_Oeq(V_a,V_b,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_add__increasing2_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.10 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.10 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_b,V_a,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_add__increasing_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.10 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.10 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 5.03/5.10 | ~ c_lessequals(V_b,V_c,T_a)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 5.03/5.10 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.10 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 5.03/5.10 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.10 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_norm__eq__zero_0,axiom,
% 5.03/5.10 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.10 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.10 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__minus__le__zero_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.10 | 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_eq__add__iff2_1,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oring(T_a)
% 5.03/5.10 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__le__mult_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 5.03/5.10 | 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__strict__mono_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.10 | 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)
% 5.03/5.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_max__less__iff__conj_2,axiom,
% 5.03/5.10 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_norm__not__less__zero_0,axiom,
% 5.03/5.10 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.10 | ~ 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) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__1__right_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__1__left_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_mult__1_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_class__semiring_Omul__1_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__mult__1_0,axiom,
% 5.03/5.10 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__minus__add__cancel_0,axiom,
% 5.03/5.10 c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_neg__less__0__iff__less_1,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_neg__less__0__iff__less_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_min__less__iff__conj_2,axiom,
% 5.03/5.10 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.10 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.10 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.10 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.10 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.10 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_arctan__minus_0,axiom,
% 5.03/5.10 c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__triangle__ineq3_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.10 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 5.03/5.10 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.10 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_exp__ge__zero_0,axiom,
% 5.03/5.10 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_abs__mult__less_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.10 | 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)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 5.03/5.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_diff__add__cancel_0,axiom,
% 5.03/5.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_pcompose__0_0,axiom,
% 5.03/5.10 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.10 | c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.10
% 5.03/5.10 cnf(cls_real__sqrt__lt__0__iff_0,axiom,
% 5.03/5.10 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__lt__0__iff_1,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Omul__c_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 5.03/5.11 ( ~ class_Int_Onumber__ring(T_a)
% 5.03/5.11 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_Im_Oadd_0,axiom,
% 5.03/5.11 c_Complex_OIm(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_OIm(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__triangle__ineq2_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__mult__assoc_0,axiom,
% 5.03/5.11 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) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Omul__a_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__right_Oadd_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult_Oadd__right_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__left_Oadd_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult_Oadd__left_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__add__mult__distrib_0,axiom,
% 5.03/5.11 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Omul__d_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__minus__commute_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_zero__le__mult__iff_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_zero__le__mult__iff_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_zero__le__mult__iff_2,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_zero__le__mult__iff_3,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_neg__equal__zero_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 5.03/5.11 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 5.03/5.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_synthetic__div__unique__lemma_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.11 | c_Polynomial_Osmult(V_c,V_p,T_a) != c_Polynomial_OpCons(V_a,V_p,T_a)
% 5.03/5.11 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__one_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.11 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_eq__poly__def_1,axiom,
% 5.03/5.11 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.11 | ~ class_HOL_Oeq(T_a)
% 5.03/5.11 | c_HOL_Oeq__class_Oeq(V_x,V_x,tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_eq__class_Oeq__refl_0,axiom,
% 5.03/5.11 ( ~ class_HOL_Oeq(T_a)
% 5.03/5.11 | c_HOL_Oeq__class_Oeq(V_x,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_zero__less__two_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult_Ominus__left_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__left_Ominus_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult_Ominus__right_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__right_Ominus_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_square__eq__iff_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_minus__mult__minus_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oring(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__mono_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 5.03/5.11 | 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)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(V_c,V_d,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__mono_H_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 5.03/5.11 | 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)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.11 | ~ c_lessequals(V_c,V_d,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_max__add__distrib__left_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_power__Suc__less_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.11 | ~ 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.11 | ~ 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.11 | ~ 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.11 | ~ 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__mult__self__sum__ge__zero_0,axiom,
% 5.03/5.11 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__zero_0,axiom,
% 5.03/5.11 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_smult__1__left_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a) = V_p ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__le__1__iff_1,axiom,
% 5.03/5.11 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__le__1__iff_0,axiom,
% 5.03/5.11 ( c_lessequals(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Osup__commute_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sum__squares__cancel__a_0,axiom,
% 5.03/5.11 ( 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)
% 5.03/5.11 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sum__squares__cancel__a_1,axiom,
% 5.03/5.11 ( 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)
% 5.03/5.11 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_order__root_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.11 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_poly__0_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.11 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__diff__def_0,axiom,
% 5.03/5.11 c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_diff__def_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__ring_Osub__add_0,axiom,
% 5.03/5.11 ( ~ class_Int_Onumber__ring(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_diff__minus_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_ab__diff__minus_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__left__le__one__le_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 5.03/5.11 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__right__le__one__le_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 5.03/5.11 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__add__distrib__left_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_eq__poly__code_I1_J_0,axiom,
% 5.03/5.11 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.11 | ~ class_HOL_Oeq(T_a)
% 5.03/5.11 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__le__interval__iff_2,axiom,
% 5.03/5.11 ( c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_lessequals(V_x,V_r,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__leI_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__le__iff_2,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__minus__cancel_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__less__sum__gt__zero_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sum__gt__zero__less_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.11 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 5.03/5.11 | V_y = V_z ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__imp__eq_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 5.03/5.11 | V_b = V_c ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__left__cancel_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 5.03/5.11 | V_b = V_c ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__right__cancel_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 5.03/5.11 | V_b = V_c ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_poly__bound__exists_0,axiom,
% 5.03/5.11 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) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_not__square__less__zero_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | ~ 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__le__0__iff_4,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__le__0__iff_5,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_split__mult__neg__le_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_split__mult__neg__le_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__le__zero__iff_1,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__nonneg__pos_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__pos__nonneg_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_exp__less__mono_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_exp__less__cancel_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_pCons__0__0_0,axiom,
% 5.03/5.11 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.11 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_norm__one_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 5.03/5.11 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__zero__not__eq__one_0,axiom,
% 5.03/5.11 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_zero__neq__one_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 5.03/5.11 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__gt__0__iff_1,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_double__eq__0__iff_1,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__mult__commute_0,axiom,
% 5.03/5.11 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_xt1_I10_J_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_order__less__trans_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__eq__0_1,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_not__exp__le__zero_0,axiom,
% 5.03/5.11 ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__cancel__21_1,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.11 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 5.03/5.11 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__triangle__ineq_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_norm__triangle__ineq3_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.11 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__strict__increasing2_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.11 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_power__mono_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.11 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_eq__eqI_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 5.03/5.11 | V_x_H = V_y_H ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_eq__eqI_1,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 5.03/5.11 | V_xa = V_y ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_power__less__zero__eq_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_diff__eq_0,axiom,
% 5.03/5.11 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_power__le__zero__eq_3,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.11 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.11 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__right__le__imp__le_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.11 | c_lessequals(V_a,V_b,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.11 | ~ 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__left__le__imp__le_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.11 | c_lessequals(V_a,V_b,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.11 | ~ 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) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | 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)
% 5.03/5.11 | ~ c_lessequals(V_a,V_b,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_lessequals(V_a,V_b,T_a)
% 5.03/5.11 | ~ 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)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | 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)
% 5.03/5.11 | ~ c_lessequals(V_b,V_a,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_lessequals(V_b,V_a,T_a)
% 5.03/5.11 | ~ 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)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__mult__le__cancel__iff2_1,axiom,
% 5.03/5.11 ( 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)
% 5.03/5.11 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__mult__le__cancel__iff2_0,axiom,
% 5.03/5.11 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.11 | ~ 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)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__mult__le__cancel__iff1_1,axiom,
% 5.03/5.11 ( 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)
% 5.03/5.11 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__mult__le__cancel__iff1_0,axiom,
% 5.03/5.11 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.11 | ~ 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)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__gt__1__iff_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__gt__1__iff_1,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_max__less__iff__conj_1,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_max__less__iff__conj_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_less__max__iff__disj_2,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_less__max__iff__disj_1,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Oless__supI2_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Oless__supI1_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_inf__commute_0,axiom,
% 5.03/5.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.11 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 5.03/5.11 ( ~ class_Lattices_Olattice(T_a)
% 5.03/5.11 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Oinf__commute_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_combine__common__factor_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_complex__cnj__mult_0,axiom,
% 5.03/5.11 c_Complex_Ocnj(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_ab__left__minus_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_right__minus_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_left__minus_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__add__eq__0__iff_1,axiom,
% 5.03/5.11 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__neg__neg_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.11 | V_a = V_b ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_right__minus__eq_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.11 | V_a = V_b ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.11 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.11 | V_x = V_y ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__right_Odiff_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult_Odiff__right_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult_Odiff__left_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__left_Odiff_0,axiom,
% 5.03/5.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.11 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__less__iff__disj_2,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__less__iff__disj_1,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__less__iff__conj_1,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__less__iff__conj_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Oless__infI2_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Oless__infI1_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__mult_0,axiom,
% 5.03/5.11 c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__le__0__iff_0,axiom,
% 5.03/5.11 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__le__0__iff_1,axiom,
% 5.03/5.11 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_power__abs_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.11 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__diff__less__iff_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__of__pos_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 5.03/5.11 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 5.03/5.11 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sum__square__gt__zero2_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sum__square__gt__zero_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_poly__smult_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.11 | c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),V_x,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__minus__mult__self__le_0,axiom,
% 5.03/5.11 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) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_pos__poly__pCons_3,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.11 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_le__real__sqrt__sumsq_0,axiom,
% 5.03/5.11 c_lessequals(V_x,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__cancel__end_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 5.03/5.11 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_one__less__exp__iff_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_exp__gt__one_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_exp__add_0,axiom,
% 5.03/5.11 ( ~ class_SEQ_Obanach(T_a)
% 5.03/5.11 | ~ class_RealVector_Oreal__normed__field(T_a)
% 5.03/5.11 | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__less__iff_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__less__iff_1,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__mult__is__one_1,axiom,
% 5.03/5.11 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_exp__not__eq__zero_0,axiom,
% 5.03/5.11 ( ~ class_SEQ_Obanach(T_a)
% 5.03/5.11 | ~ class_RealVector_Oreal__normed__field(T_a)
% 5.03/5.11 | c_Transcendental_Oexp(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_abs__of__nonpos_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.11 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 5.03/5.11 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 5.03/5.11 | 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)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | 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)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.11 | 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)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_mult__strict__right__mono_0,axiom,
% 5.03/5.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.11 | 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)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__gt__0__iff_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_real__sqrt__gt__zero_0,axiom,
% 5.03/5.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 5.03/5.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 5.03/5.11 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.11 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__inf__distrib__left_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_add__inf__distrib__right_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 5.03/5.11 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.11
% 5.03/5.11 cnf(cls_neg__0__le__iff__le_0,axiom,
% 5.03/5.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_neg__0__le__iff__le_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_max__diff__distrib__left_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_power__one_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 5.03/5.12 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_smult__eq__0__iff_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.12 | c_Polynomial_Osmult(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 5.03/5.12 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 5.03/5.12 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__exp__exp_0,axiom,
% 5.03/5.12 ( ~ class_SEQ_Obanach(T_a)
% 5.03/5.12 | ~ class_RealVector_Oreal__normed__field(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__cancel__21_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__eq__zero__cancel_0,axiom,
% 5.03/5.12 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 5.03/5.12 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__le__power__abs_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__nonneg__nonneg_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_pos__poly__pCons_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 5.03/5.12 | c_Polynomial_Opos__poly(V_p,T_a)
% 5.03/5.12 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_exp__zero_0,axiom,
% 5.03/5.12 ( ~ class_SEQ_Obanach(T_a)
% 5.03/5.12 | ~ class_RealVector_Oreal__normed__field(T_a)
% 5.03/5.12 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_exp__eq__one__iff_1,axiom,
% 5.03/5.12 c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_rabs__ratiotest__lemma_0,axiom,
% 5.03/5.12 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.12 | ~ 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)
% 5.03/5.12 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__0__imp__0_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_Lattices_Olower__semilattice__class_Oinf(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.12 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_pos__poly__pCons_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.12 | c_Polynomial_Opos__poly(V_p,T_a)
% 5.03/5.12 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__add__one__gt__zero_0,axiom,
% 5.03/5.12 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__eq__0__iff_0,axiom,
% 5.03/5.12 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.12 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__strict__increasing_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_b,V_c,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_arctan__monotone_0,axiom,
% 5.03/5.12 ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__diff__distrib__left_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_compl__inf__bot_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 5.03/5.12 | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__compl__bot_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 5.03/5.12 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__le__power__iff_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__le__power_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__minus__self__iff_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__minus__self__iff_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__le__self__iff_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__le__self__iff_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__add__iff1_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oring(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__add__less__0__iff_0,axiom,
% 5.03/5.12 ( c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__add__less__0__iff_1,axiom,
% 5.03/5.12 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_one__le__power_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__poly__code_I4_J_0,axiom,
% 5.03/5.12 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.12 | ~ class_HOL_Oeq(T_a)
% 5.03/5.12 | c_HOL_Oeq__class_Oeq(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__idempotent_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__add__iff1_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oring(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__add__iff2_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oring(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 5.03/5.12 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__less__abs__iff_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 5.03/5.12 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_poly__add_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.12 | c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_complex__cnj__cnj_0,axiom,
% 5.03/5.12 c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__power_0,axiom,
% 5.03/5.12 c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_x,V_k,tc_RealDef_Oreal)) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(V_x),V_k,tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__minus_0,axiom,
% 5.03/5.12 c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_not__real__square__gt__zero_1,axiom,
% 5.03/5.12 ~ 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) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_norm__zero_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.12 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_power__minus_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 5.03/5.12 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_exp__less__one__iff_0,axiom,
% 5.03/5.12 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_exp__less__one__iff_1,axiom,
% 5.03/5.12 ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_pCons__eq__0__iff_0,axiom,
% 5.03/5.12 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.12 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 5.03/5.12 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_norm__mult_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 5.03/5.12 | 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_power__commutes_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__mult__left__cancel_0,axiom,
% 5.03/5.12 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)
% 5.03/5.12 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.12 | V_a = V_b ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__mult__right__cancel_0,axiom,
% 5.03/5.12 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)
% 5.03/5.12 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.12 | V_a = V_b ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__ge__minus__self_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__pCons_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__add__iff1_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__add__iff1_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__add__iff2_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__add__iff2_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__less__power_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__max__iff__disj_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__add__eq__0__iff_0,axiom,
% 5.03/5.12 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.12 | V_y = c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__unique_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.12 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_complex__mod__sqrt__Re__mult__cnj_0,axiom,
% 5.03/5.12 c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex) = c_NthRoot_Osqrt(c_Complex_ORe(c_HOL_Otimes__class_Otimes(V_z,c_Complex_Ocnj(V_z),tc_Complex_Ocomplex))) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_not__one__less__zero_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__less__iff_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__less__iff__disj_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.12 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 5.03/5.12 | V_c = V_d
% 5.03/5.12 | V_a = V_b ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.12 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)
% 5.03/5.12 | V_y = V_z
% 5.03/5.12 | V_w = V_x ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__exp__cancel_0,axiom,
% 5.03/5.12 c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__mult__self_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__ge__1__iff_1,axiom,
% 5.03/5.12 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__ge__1__iff_0,axiom,
% 5.03/5.12 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__ge__one_0,axiom,
% 5.03/5.12 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__le__one_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__left_Ozero_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult_Ozero__left_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult_Ozero__right_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__right_Ozero_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__strict__left__mono_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.12 | ~ 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__mult__less__mono2_0,axiom,
% 5.03/5.12 ( 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__mult__less__iff1_1,axiom,
% 5.03/5.12 ( 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__mult__less__iff1_0,axiom,
% 5.03/5.12 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.12 | ~ 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Osup__assoc_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_diff__minus__eq__add_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_smult__smult_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.12 | c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_p,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__0__le__add__iff_0,axiom,
% 5.03/5.12 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__0__le__add__iff_1,axiom,
% 5.03/5.12 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_exp__gt__zero_0,axiom,
% 5.03/5.12 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__poly__code_I1_J_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = V_q ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__poly__code_I2_J_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = V_p ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__0__left_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.12 | ~ class_Int_Onumber__ring(T_a)
% 5.03/5.12 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_exp__eq__one__iff_0,axiom,
% 5.03/5.12 ( c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 5.03/5.12 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_synthetic__div__correct_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__diff__cancel_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__diff__less__iff_2,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__1__mult_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__equation__iff_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_equation__minus__iff_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_equation__minus__iff_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_double__compl_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__minus_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__diff__eq_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__less__le__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_c,V_d,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__le__less__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__less__iff_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__less__iff_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__minus__iff_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__minus__iff_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_h_0,axiom,
% 5.03/5.12 c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_xt1_I7_J_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_z,V_y,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_xt1_I8_J_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 5.03/5.12 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__add__right__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_c,V_d,T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__less__le__trans_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_y,V_z,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__le__less__trans_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__less__imp__le_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_y,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__le__less_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_y,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__le__not__le_2,axiom,
% 5.03/5.12 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.12 | c_lessequals(V_y,V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_y,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__max__iff__disj_2,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__max__iff__disj_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__supI2_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__supI1_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__supE_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_b,V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__supE_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_a,V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__le__iff__disj_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_y,V_z,T_a)
% 5.03/5.12 | c_lessequals(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__ge__self_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_y,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__le__iff__disj_2,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__le__iff__disj_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__infI2_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__infI1_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__infE_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__infE_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__max__iff__disj_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_z,V_y,T_a)
% 5.03/5.12 | c_lessequals(V_z,V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_c,V_d,T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 5.03/5.12 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 5.03/5.12 | c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 5.03/5.12 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 5.03/5.12 | c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__inf__iff_1,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__inf__iff_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_y,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__infI2_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__infI1_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__infE_1,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__infE_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(V_x,V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_xt1_I11_J_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.12 | V_a = V_b
% 5.03/5.12 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_xt1_I12_J_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(V_b,V_a,T_a)
% 5.03/5.12 | V_a = V_b ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_linorder__antisym__conv2_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | V_x = V_y
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_linorder__antisym__conv1_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | V_x = V_y
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__neq__le__trans_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a)
% 5.03/5.12 | V_a = V_b ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__le__neq__trans_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | V_a = V_b
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__le__less_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | V_x = V_y
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__less__le_2,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.12 | V_x = V_y
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__eqI_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 5.03/5.12 | c_lessequals(V_y_H,V_x_H,T_a)
% 5.03/5.12 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__eqI_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 5.03/5.12 | c_lessequals(V_y,V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__greatest_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__inf__iff_2,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__infI_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Omul__0_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__zero__left_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__zero__right_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__eq__0__iff_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__eq__0__iff_2,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 5.03/5.12 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__power__minus_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__poly__code_I3_J_0,axiom,
% 5.03/5.12 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.12 | ~ class_HOL_Oeq(T_a)
% 5.03/5.12 | c_HOL_Oeq__class_Oeq(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__poly__code_I3_J_1,axiom,
% 5.03/5.12 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.12 | ~ class_HOL_Oeq(T_a)
% 5.03/5.12 | c_HOL_Oeq__class_Oeq(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))
% 5.03/5.12 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__lt__1__iff_1,axiom,
% 5.03/5.12 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__lt__1__iff_0,axiom,
% 5.03/5.12 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__add__one__not__less__self_0,axiom,
% 5.03/5.12 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__mult__pos_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_linorder__neq__iff_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__less__le_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__less__def_1,axiom,
% 5.03/5.12 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__less__irrefl_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__pos__pos_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_not__one__le__zero_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__poly__code_I3_J_2,axiom,
% 5.03/5.12 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.12 | ~ class_HOL_Oeq(T_a)
% 5.03/5.12 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))
% 5.03/5.12 | ~ c_HOL_Oeq__class_Oeq(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))
% 5.03/5.12 | ~ c_HOL_Oeq__class_Oeq(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__le__eq__diff_1,axiom,
% 5.03/5.12 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__le__eq__diff_0,axiom,
% 5.03/5.12 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__iff__diff__le__0_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__iff__diff__le__0_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__strict__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__cancel__end_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__add__cancel_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_complex__equality_0,axiom,
% 5.03/5.12 ( c_Complex_OIm(V_x) != c_Complex_OIm(V_y)
% 5.03/5.12 | c_Complex_ORe(V_x) != c_Complex_ORe(V_y)
% 5.03/5.12 | V_x = V_y ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__poly__def_0,axiom,
% 5.03/5.12 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.12 | ~ class_HOL_Oeq(T_a)
% 5.03/5.12 | V_p = V_q
% 5.03/5.12 | ~ c_HOL_Oeq__class_Oeq(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_eq__equals_0,axiom,
% 5.03/5.12 ( ~ class_HOL_Oeq(T_a)
% 5.03/5.12 | V_x = V_y
% 5.03/5.12 | ~ c_HOL_Oeq__class_Oeq(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__iff__diff__less__0_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__iff__diff__less__0_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__not__less__zero_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_complex__Re__cnj_0,axiom,
% 5.03/5.12 c_Complex_ORe(c_Complex_Ocnj(V_x)) = c_Complex_ORe(V_x) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__less__one_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_complex__Im__mult_0,axiom,
% 5.03/5.12 c_Complex_OIm(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Complex_ORe(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Complex_OIm(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_norm__diff__triangle__ineq_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.12 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__le__less__imp__less_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__le__imp__less_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 5.03/5.12 | 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)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 5.03/5.12 | ~ c_lessequals(V_c,V_d,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_power__inject__exp_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 5.03/5.12 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 5.03/5.12 | V_m = V_n ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_complex__cnj__cancel__iff_0,axiom,
% 5.03/5.12 ( c_Complex_Ocnj(V_x) != c_Complex_Ocnj(V_y)
% 5.03/5.12 | V_x = V_y ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_synthetic__div__0_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.12 | c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__mult__commute_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oring(T_a)
% 5.03/5.12 | 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__triangle__ineq4_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__zero_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_neg__equal__zero_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__one_0,axiom,
% 5.03/5.12 c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olattice(T_a)
% 5.03/5.12 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__left__idem_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_synthetic__div__unique_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a)) != c_Polynomial_OpCons(V_r,V_q,T_a)
% 5.03/5.12 | V_q = c_Polynomial_Osynthetic__div(V_p,V_c,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_smult__eq__0__iff_2,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.12 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_smult__eq__0__iff_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oidom(T_a)
% 5.03/5.12 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_smult__0__right_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.12 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_smult__0__left_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.12 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__sqrt__abs2_0,axiom,
% 5.03/5.12 c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__abs__def_1,axiom,
% 5.03/5.12 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = V_r
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__if__lattice_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__if_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 5.03/5.12 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.12 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__add__abs_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__eq__0_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.12 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__idem_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_zero__less__abs__iff_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | ~ 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_Re_Oadd_0,axiom,
% 5.03/5.12 c_Complex_ORe(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__less__cancel__left_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__less__cancel__left_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__strict__left__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__less__cancel__right_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__less__cancel__right_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__strict__right__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__nonpos__nonpos_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_exp__ge__add__one__self__aux_0,axiom,
% 5.03/5.12 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_norm__power_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 5.03/5.12 | c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_n,tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_norm__ratiotest__lemma_0,axiom,
% 5.03/5.12 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.12 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.12 | ~ 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)
% 5.03/5.12 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__two__squares__add__zero__iff_2,axiom,
% 5.03/5.12 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),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) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.12 | ~ 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 5.03/5.12 | ~ 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__diff__less__iff_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_real__mult__is__one_2,axiom,
% 5.03/5.12 c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_not__real__square__gt__zero_0,axiom,
% 5.03/5.12 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.03/5.12 | 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) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_neg__0__less__iff__less_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_neg__0__less__iff__less_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_complex__Im__cnj_0,axiom,
% 5.03/5.12 c_Complex_OIm(c_Complex_Ocnj(V_x)) = c_HOL_Ouminus__class_Ouminus(c_Complex_OIm(V_x),tc_RealDef_Oreal) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__minus__self__iff_0,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_less__minus__self__iff_1,axiom,
% 5.03/5.12 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.12 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__ge__zero_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__add_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_minus__add__distrib_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 5.03/5.12 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__less__asym_H_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_order__less__asym_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_xt1_I9_J_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__le2_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__le1_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.12 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olattice(T_a)
% 5.03/5.12 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 5.03/5.12 ( ~ class_Lattices_Olattice(T_a)
% 5.03/5.12 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__le__cancel__right_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__le__cancel__right_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | c_lessequals(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__le__cancel__left_1,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__le__cancel__left_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 5.03/5.12 | c_lessequals(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__right__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_add__left__mono_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_bot__least_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Obot(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_y,V_z,T_a)
% 5.03/5.12 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Osup__least_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_z,V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_min__max_Ole__supI_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_b,V_x,T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__maxI1_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__maxI2_0,axiom,
% 5.03/5.12 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.12 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_neg__le__iff__le_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_le__imp__neg__le_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.12 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 5.03/5.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 5.03/5.12
% 5.03/5.12 cnf(cls_abs__le__D1_0,axiom,
% 5.03/5.12 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 5.03/5.12 | c_lessequals(V_a,V_b,T_a)
% 5.03/5.12 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_z,T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_z,T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_min__max_Ole__infI_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_b,T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_min__max_Oinf__le2_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_min__max_Oinf__le1_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_less__le__not__le_1,axiom,
% 5.03/5.13 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.13 | ~ c_lessequals(V_y,V_x,T_a)
% 5.03/5.13 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_not__leE_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.13 | c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_linorder__antisym__conv2_1,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_x,T_a)
% 5.03/5.13 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_linorder__antisym__conv1_1,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 5.03/5.13 | c_lessequals(V_x,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_linorder__not__less_1,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 5.03/5.13 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_linorder__not__less_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_lessequals(V_y,V_x,T_a)
% 5.03/5.13 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_linorder__not__le_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 5.03/5.13 | c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_linorder__not__le_1,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,T_a)
% 5.03/5.13 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_inf__absorb2_0,axiom,
% 5.03/5.13 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.13 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 5.03/5.13 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_le__iff__inf_1,axiom,
% 5.03/5.13 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.13 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 5.03/5.13 | c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_le__iff__inf_0,axiom,
% 5.03/5.13 ( ~ class_Lattices_Olower__semilattice(T_a)
% 5.03/5.13 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_minus__le__iff_1,axiom,
% 5.03/5.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.13 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 5.03/5.13 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_minus__le__iff_0,axiom,
% 5.03/5.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.13 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 5.03/5.13 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_le__minus__iff_1,axiom,
% 5.03/5.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.13 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 5.03/5.13 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_le__minus__iff_0,axiom,
% 5.03/5.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 5.03/5.13 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 5.03/5.13 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__less__def_0,axiom,
% 5.03/5.13 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__sqrt__le__iff_0,axiom,
% 5.03/5.13 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__sqrt__le__iff_1,axiom,
% 5.03/5.13 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__less__def_2,axiom,
% 5.03/5.13 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.13 | V_x = V_y
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__add__left__mono_0,axiom,
% 5.03/5.13 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_exp__le__cancel__iff_1,axiom,
% 5.03/5.13 ( c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_exp__le__cancel__iff_0,axiom,
% 5.03/5.13 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_arctan__monotone_H_0,axiom,
% 5.03/5.13 ( c_lessequals(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_abs__le__interval__iff_1,axiom,
% 5.03/5.13 ( c_lessequals(V_x,V_r,tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__triangle__ineq_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__triangle__ineq2_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__diff__ineq_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__triangle__ineq4_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__power__ineq_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 5.03/5.13 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_n,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__mult__ineq_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 5.03/5.13 | 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) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__le__zero__iff_1,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | 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) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__le__zero__iff_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 5.03/5.13 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__minus__cancel_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | 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) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_abs__norm__cancel_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | 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) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__minus__commute_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_complex__mod__triangle__sub_0,axiom,
% 5.03/5.13 c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_w,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_abs__Im__le__cmod_0,axiom,
% 5.03/5.13 c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_OIm(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_abs__Re__le__cmod_0,axiom,
% 5.03/5.13 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) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_complex__mod__triangle__ineq2_0,axiom,
% 5.03/5.13 c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_a,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_pCons__eq__0__iff_1,axiom,
% 5.03/5.13 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.13 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 5.03/5.13 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_eq__poly__code_I4_J_1,axiom,
% 5.03/5.13 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.13 | ~ class_HOL_Oeq(T_a)
% 5.03/5.13 | c_HOL_Oeq__class_Oeq(V_p,V_q,tc_Polynomial_Opoly(T_a))
% 5.03/5.13 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_pos__poly__pCons_2,axiom,
% 5.03/5.13 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 5.03/5.13 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a)
% 5.03/5.13 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_complex__mod__cnj_0,axiom,
% 5.03/5.13 c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_poly__pCons_0,axiom,
% 5.03/5.13 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.13 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_synthetic__div__unique_0,axiom,
% 5.03/5.13 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.13 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a)) != c_Polynomial_OpCons(V_r,V_q,T_a)
% 5.03/5.13 | V_r = c_Polynomial_Opoly(V_p,V_c,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_poly__pcompose_0,axiom,
% 5.03/5.13 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.13 | c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_H_0,axiom,
% 5.03/5.13 v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_norm__ge__zero_0,axiom,
% 5.03/5.13 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 5.03/5.13 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
% 5.03/5.13 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) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_complex__Re__le__cmod_0,axiom,
% 5.03/5.13 c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_synthetic__div__pCons_0,axiom,
% 5.03/5.13 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 5.03/5.13 | c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(V_a,V_p,T_a),V_c,T_a) = c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_pCons_I1_J_0,axiom,
% 5.03/5.13 ( c_lessequals(V_d,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,v_cs____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(v_sko__local__XpCons__1__1(V_a,v_cs____,V_d),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal)
% 5.03/5.13 | v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_pCons_Ohyps_0,axiom,
% 5.03/5.13 ( c_lessequals(V_d,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,v_cs____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(v_sko__local__XpCons__Xhyps__1(V_a,v_cs____,V_d),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal)
% 5.03/5.13 | v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_poly__minimum__modulus__disc_0,axiom,
% 5.03/5.13 ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__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)
% 5.03/5.13 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_poly__bound__exists_1,axiom,
% 5.03/5.13 ( 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)
% 5.03/5.13 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_z1_0,axiom,
% 5.03/5.13 c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_r0_0,axiom,
% 5.03/5.13 c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(v_z____,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_th0_0,axiom,
% 5.03/5.13 c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_pCons_Oprems_0,axiom,
% 5.03/5.13 c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_th2_0,axiom,
% 5.03/5.13 c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_r_0,axiom,
% 5.03/5.13 ( c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_th1_0,axiom,
% 5.03/5.13 c_lessequals(v_da____,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__le__linear_0,axiom,
% 5.03/5.13 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 5.03/5.13 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_linorder__linear_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Olinorder(T_a)
% 5.03/5.13 | c_lessequals(V_y,V_x,T_a)
% 5.03/5.13 | c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_xt1_I6_J_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.13 | c_lessequals(V_z,V_x,T_a)
% 5.03/5.13 | ~ c_lessequals(V_z,V_y,T_a)
% 5.03/5.13 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_order__trans_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.13 | c_lessequals(V_x,V_z,T_a)
% 5.03/5.13 | ~ c_lessequals(V_y,V_z,T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__le__refl_0,axiom,
% 5.03/5.13 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__le__trans_0,axiom,
% 5.03/5.13 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_order__eq__iff_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.13 | c_lessequals(V_x,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_order__eq__refl_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Opreorder(T_a)
% 5.03/5.13 | c_lessequals(V_x,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_pCons__eq__iff_0,axiom,
% 5.03/5.13 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.13 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 5.03/5.13 | V_a = V_b ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_pCons__eq__iff_1,axiom,
% 5.03/5.13 ( ~ class_HOL_Ozero(T_a)
% 5.03/5.13 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 5.03/5.13 | V_p = V_q ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_order__antisym__conv_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.13 | V_x = V_y
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,T_a)
% 5.03/5.13 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_order__eq__iff_2,axiom,
% 5.03/5.13 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.13 | V_x = V_y
% 5.03/5.13 | ~ c_lessequals(V_y,V_x,T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_order__antisym_0,axiom,
% 5.03/5.13 ( ~ class_Orderings_Oorder(T_a)
% 5.03/5.13 | V_x = V_y
% 5.03/5.13 | ~ c_lessequals(V_y,V_x,T_a)
% 5.03/5.13 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_real__le__antisym_0,axiom,
% 5.03/5.13 ( V_z = V_w
% 5.03/5.13 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 5.03/5.13 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_CHAINED_0,axiom,
% 5.03/5.13 c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_CHAINED_0_01,axiom,
% 5.03/5.13 c_lessequals(v_da____,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(cls_conjecture_0,negated_conjecture,
% 5.03/5.13 ~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 5.03/5.13 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 5.03/5.13 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 5.03/5.13 class_Lattices_Olower__semilattice(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 5.03/5.13 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 5.03/5.13 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 5.03/5.13 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Osemiring(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 5.03/5.13 class_Orderings_Opreorder(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 5.03/5.13 class_Orderings_Olinorder(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 5.03/5.13 class_Lattices_Olattice(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 5.03/5.13 class_Orderings_Oorder(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Orderings_Obot,axiom,
% 5.03/5.13 class_Orderings_Obot(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__Power_Opower,axiom,
% 5.03/5.13 class_Power_Opower(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__HOL_Ozero,axiom,
% 5.03/5.13 class_HOL_Ozero(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_nat__HOL_Oeq,axiom,
% 5.03/5.13 class_HOL_Oeq(tc_nat) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet,axiom,
% 5.03/5.13 class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 5.03/5.13 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 5.03/5.13 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 5.03/5.13 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 5.03/5.13 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 5.03/5.13 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 5.03/5.13 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 5.03/5.13 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 5.03/5.13 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 5.03/5.13 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 5.03/5.13 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 5.03/5.13 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 5.03/5.13 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom,
% 5.03/5.13 class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 5.03/5.13 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 5.03/5.13 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 5.03/5.13 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 5.03/5.13 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1,axiom,
% 5.03/5.13 class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 5.03/5.13 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 5.03/5.13 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 5.03/5.13 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 5.03/5.13 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 5.03/5.13 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom,
% 5.03/5.13 class_Lattices_Olattice(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 5.03/5.13 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 5.03/5.13 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom,
% 5.03/5.13 class_Power_Opower(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
% 5.03/5.13 class_SEQ_Obanach(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom,
% 5.03/5.13 class_HOL_Ozero(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_RealDef__Oreal__HOL_Oeq,axiom,
% 5.03/5.13 class_HOL_Oeq(tc_RealDef_Oreal) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 5.03/5.13 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 5.03/5.13 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 5.03/5.13 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 5.03/5.13 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 5.03/5.13 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 5.03/5.13 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 5.03/5.13 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 5.03/5.13 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 5.03/5.13 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 5.03/5.13 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 5.03/5.13 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1,axiom,
% 5.03/5.13 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 5.03/5.13 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 5.03/5.13 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 5.03/5.13 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
% 5.03/5.13 class_Power_Opower(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom,
% 5.03/5.13 class_SEQ_Obanach(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
% 5.03/5.13 class_HOL_Ozero(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Complex__Ocomplex__HOL_Oeq,axiom,
% 5.03/5.13 class_HOL_Oeq(tc_Complex_Ocomplex) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 5.03/5.13 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 5.03/5.13 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom,
% 5.03/5.13 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom,
% 5.03/5.13 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom,
% 5.03/5.13 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom,
% 5.03/5.13 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom,
% 5.03/5.13 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 5.03/5.13 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 5.03/5.13 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 5.03/5.13 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 5.03/5.13 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__Power_Opower,axiom,
% 5.03/5.13 ( class_Power_Opower(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom,
% 5.03/5.13 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_HOL_Ozero(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 cnf(clsarity_Polynomial__Opoly__HOL_Oeq,axiom,
% 5.03/5.13 ( class_HOL_Oeq(tc_Polynomial_Opoly(T_1))
% 5.03/5.13 | ~ class_HOL_Ozero(T_1)
% 5.03/5.13 | ~ class_HOL_Oeq(T_1) ) ).
% 5.03/5.13
% 5.03/5.13 %------------------------------------------------------------------------------
% 5.03/5.13 %-------------------------------------------
% 5.03/5.13 % Proof found
% 5.03/5.13 % SZS status Theorem for theBenchmark
% 5.03/5.13 % SZS output start Proof
% 5.03/5.13 %ClaNum:1132(EqnAxiom:145)
% 5.03/5.13 %VarNum:6061(SingletonVarNum:2033)
% 5.03/5.13 %MaxLitNum:6
% 5.03/5.13 %MaxfuncDepth:4
% 5.03/5.13 %SharedTerms:189
% 5.03/5.13 %goalClause: 347
% 5.03/5.13 %singleGoalClaCount:1
% 5.03/5.13 [146]P1(a1)
% 5.03/5.13 [147]P1(a2)
% 5.03/5.13 [148]P1(a28)
% 5.03/5.13 [149]P2(a1)
% 5.03/5.13 [150]P2(a2)
% 5.03/5.13 [151]P3(a1)
% 5.03/5.13 [152]P32(a1)
% 5.03/5.13 [153]P32(a28)
% 5.03/5.13 [154]P4(a1)
% 5.03/5.13 [155]P5(a1)
% 5.03/5.13 [156]P5(a2)
% 5.03/5.13 [157]P50(a1)
% 5.03/5.13 [158]P50(a28)
% 5.03/5.13 [159]P51(a1)
% 5.03/5.13 [160]P6(a1)
% 5.03/5.13 [161]P6(a28)
% 5.03/5.13 [162]P60(a1)
% 5.03/5.13 [163]P65(a1)
% 5.03/5.13 [164]P65(a2)
% 5.03/5.13 [165]P26(a1)
% 5.03/5.13 [166]P7(a1)
% 5.03/5.13 [167]P7(a2)
% 5.03/5.13 [168]P7(a28)
% 5.03/5.13 [169]P8(a1)
% 5.03/5.13 [170]P8(a2)
% 5.03/5.13 [171]P8(a28)
% 5.03/5.13 [172]P67(a1)
% 5.03/5.13 [173]P67(a2)
% 5.03/5.13 [174]P67(a28)
% 5.03/5.13 [175]P52(a1)
% 5.03/5.13 [176]P52(a2)
% 5.03/5.13 [177]P52(a28)
% 5.03/5.13 [178]P53(a1)
% 5.03/5.13 [179]P53(a2)
% 5.03/5.13 [180]P53(a28)
% 5.03/5.13 [181]P38(a1)
% 5.03/5.13 [182]P38(a2)
% 5.03/5.13 [183]P38(a28)
% 5.03/5.13 [184]P68(a1)
% 5.03/5.13 [185]P68(a2)
% 5.03/5.13 [186]P27(a1)
% 5.03/5.13 [187]P59(a1)
% 5.03/5.13 [188]P61(a1)
% 5.03/5.13 [189]P61(a28)
% 5.03/5.13 [190]P54(a1)
% 5.03/5.13 [191]P54(a28)
% 5.03/5.13 [192]P55(a1)
% 5.03/5.13 [193]P55(a28)
% 5.03/5.13 [194]P63(a1)
% 5.03/5.13 [195]P56(a1)
% 5.03/5.13 [196]P56(a2)
% 5.03/5.13 [197]P13(a1)
% 5.03/5.13 [198]P13(a2)
% 5.03/5.13 [199]P45(a1)
% 5.03/5.13 [200]P45(a2)
% 5.03/5.13 [201]P45(a28)
% 5.03/5.13 [202]P17(a1)
% 5.03/5.13 [203]P17(a2)
% 5.03/5.13 [204]P17(a28)
% 5.03/5.13 [205]P64(a1)
% 5.03/5.13 [206]P64(a28)
% 5.03/5.13 [207]P41(a1)
% 5.03/5.13 [208]P41(a2)
% 5.03/5.13 [209]P33(a1)
% 5.03/5.13 [210]P33(a28)
% 5.03/5.13 [211]P14(a1)
% 5.03/5.13 [212]P14(a28)
% 5.03/5.13 [213]P70(a1)
% 5.03/5.13 [214]P70(a2)
% 5.03/5.13 [215]P18(a1)
% 5.03/5.13 [216]P18(a2)
% 5.03/5.13 [217]P46(a1)
% 5.03/5.13 [218]P62(a1)
% 5.03/5.13 [219]P62(a28)
% 5.03/5.13 [220]P34(a1)
% 5.03/5.13 [221]P34(a28)
% 5.03/5.13 [222]P19(a1)
% 5.03/5.13 [223]P19(a2)
% 5.03/5.13 [224]P19(a28)
% 5.03/5.13 [225]P57(a1)
% 5.03/5.13 [226]P28(a1)
% 5.03/5.13 [227]P28(a2)
% 5.03/5.13 [228]P28(a28)
% 5.03/5.13 [229]P20(a1)
% 5.03/5.13 [230]P20(a2)
% 5.03/5.13 [231]P20(a28)
% 5.03/5.13 [232]P47(a1)
% 5.03/5.13 [233]P47(a2)
% 5.03/5.13 [234]P47(a28)
% 5.03/5.13 [235]P31(a1)
% 5.03/5.13 [236]P66(a1)
% 5.03/5.13 [237]P66(a28)
% 5.03/5.13 [238]P23(a1)
% 5.03/5.13 [239]P23(a2)
% 5.03/5.13 [240]P23(a28)
% 5.03/5.13 [241]P24(a1)
% 5.03/5.13 [242]P24(a2)
% 5.03/5.13 [243]P24(a28)
% 5.03/5.13 [244]P42(a1)
% 5.03/5.13 [245]P42(a2)
% 5.03/5.13 [246]P39(a1)
% 5.03/5.13 [247]P39(a28)
% 5.03/5.13 [248]P40(a1)
% 5.03/5.13 [249]P40(a28)
% 5.03/5.13 [250]P21(a1)
% 5.03/5.13 [251]P21(a2)
% 5.03/5.13 [252]P21(a28)
% 5.03/5.13 [253]P71(a1)
% 5.03/5.13 [254]P71(a2)
% 5.03/5.13 [255]P71(a28)
% 5.03/5.13 [256]P72(a1)
% 5.03/5.13 [257]P72(a2)
% 5.03/5.13 [258]P43(a1)
% 5.03/5.13 [259]P43(a2)
% 5.03/5.13 [260]P58(a1)
% 5.03/5.13 [261]P58(a28)
% 5.03/5.13 [262]P29(a1)
% 5.03/5.13 [263]P69(a1)
% 5.03/5.13 [264]P69(a2)
% 5.03/5.13 [265]P44(a1)
% 5.03/5.13 [266]P44(a2)
% 5.03/5.13 [267]P30(a1)
% 5.03/5.13 [268]P30(a2)
% 5.03/5.13 [269]P30(a28)
% 5.03/5.13 [270]P36(a1)
% 5.03/5.13 [271]P36(a28)
% 5.03/5.13 [272]P35(a1)
% 5.03/5.13 [273]P35(a28)
% 5.03/5.13 [274]P37(a28)
% 5.03/5.13 [275]P25(a1)
% 5.03/5.13 [276]P25(a2)
% 5.03/5.13 [277]P25(a28)
% 5.03/5.13 [278]P48(a1)
% 5.03/5.13 [279]P48(a2)
% 5.03/5.13 [280]P49(a1)
% 5.03/5.13 [281]P49(a2)
% 5.03/5.13 [296]P9(a29,f16(a34,a2),a1)
% 5.03/5.13 [297]P9(f4(a1),f16(a34,a2),a1)
% 5.03/5.13 [339]~E(f4(a1),f3(a1))
% 5.03/5.13 [282]E(f13(f3(a1)),f3(a1))
% 5.03/5.13 [283]E(f13(f4(a1)),f4(a1))
% 5.03/5.13 [284]E(f15(f3(a1)),f3(a1))
% 5.03/5.13 [287]E(f26(f3(a1),a1),f4(a1))
% 5.03/5.13 [318]P9(f12(f4(a1),f8(a29,a1),a1),f16(a34,a2),a1)
% 5.03/5.13 [336]P9(a30,f9(f16(f11(a34,f22(f18(a32,a33,a2),a34,a2),a2),a2),f16(a31,a2),a1),a1)
% 5.03/5.13 [340]~E(f3(f27(a2)),a33)
% 5.03/5.13 [342]~E(f18(a32,a33,a2),f3(f27(a2)))
% 5.03/5.13 [345]~P10(f3(a1),f11(f3(a1),f3(a1),a1),a1)
% 5.03/5.13 [306]E(f11(f10(f4(a1),a1),f10(f4(a1),a1),a1),f4(a1))
% 5.03/5.13 [320]E(f12(f11(f3(a1),f3(a1),a1),f11(f3(a1),f3(a1),a1),a1),f3(a1))
% 5.03/5.13 [333]P9(f12(a30,f16(a31,a2),a1),f11(f4(a1),f16(f22(f18(a32,a33,a2),a34,a2),a2),a1),a1)
% 5.03/5.13 [338]P9(f9(f16(f11(a34,f22(f18(a32,a33,a2),a34,a2),a2),a2),f16(a31,a2),a1),f16(f22(f18(a31,f18(a32,a33,a2),a2),a34,a2),a2),a1)
% 5.03/5.13 [347]~P9(a30,f16(f22(f18(a31,f18(a32,a33,a2),a2),a34,a2),a2),a1)
% 5.03/5.13 [293]P9(x2931,x2931,a1)
% 5.03/5.13 [341]~P10(x3411,x3411,a1)
% 5.03/5.13 [299]P10(f3(a1),f26(x2991,a1),a1)
% 5.03/5.13 [300]P9(f3(a1),f26(x3001,a1),a1)
% 5.03/5.13 [301]P9(f6(x3011),f16(x3011,a2),a1)
% 5.03/5.13 [343]~P10(f26(x3431,a1),f3(a1),a1)
% 5.03/5.13 [344]~P9(f26(x3441,a1),f3(a1),a1)
% 5.03/5.13 [285]E(f5(f5(x2851)),x2851)
% 5.03/5.13 [286]E(f6(f5(x2861)),f6(x2861))
% 5.03/5.13 [288]E(f10(f7(x2881),a1),f7(f5(x2881)))
% 5.03/5.13 [289]E(f16(f5(x2891),a2),f16(x2891,a2))
% 5.03/5.13 [290]E(f13(f10(x2901,a1)),f10(f13(x2901),a1))
% 5.03/5.13 [291]E(f15(f10(x2911,a1)),f10(f15(x2911),a1))
% 5.03/5.13 [292]E(f8(f26(x2921,a1),a1),f26(x2921,a1))
% 5.03/5.13 [294]E(f11(f4(a1),x2941,a1),x2941)
% 5.03/5.13 [298]E(f12(x2981,f10(x2981,a1),a1),f3(a1))
% 5.03/5.13 [304]P9(f8(f6(x3041),a1),f16(x3041,a2),a1)
% 5.03/5.13 [305]P9(f8(f7(x3051),a1),f16(x3051,a2),a1)
% 5.03/5.13 [307]E(f13(f11(x3071,x3071,a1)),f8(x3071,a1))
% 5.03/5.13 [310]P9(f10(f16(x3101,a2),a1),f16(x3101,a2),a1)
% 5.03/5.13 [317]P10(f3(a1),f12(f4(a1),f8(x3171,a1),a1),a1)
% 5.03/5.13 [346]~P10(f12(f8(x3461,a1),f4(a1),a1),x3461,a1)
% 5.03/5.13 [308]E(f7(f11(x3081,f5(x3081),a2)),f3(a1))
% 5.03/5.13 [327]E(f11(f12(x3271,f4(a1),a1),f9(x3271,f4(a1),a1),a1),f9(f11(x3271,x3271,a1),f4(a1),a1))
% 5.03/5.13 [319]E(f13(f6(f11(x3191,f5(x3191),a2))),f16(x3191,a2))
% 5.03/5.13 [302]P10(f3(a1),f35(x3021,x3022),a1)
% 5.03/5.13 [303]E(f11(x3031,x3032,a1),f11(x3032,x3031,a1))
% 5.03/5.13 [309]E(f12(x3091,f10(x3092,a1),a1),f9(x3091,x3092,a1))
% 5.03/5.13 [311]E(f13(f17(x3111,x3112,a1)),f17(f13(x3111),x3112,a1))
% 5.03/5.13 [312]E(f11(f13(x3121),f13(x3122),a1),f13(f11(x3121,x3122,a1)))
% 5.03/5.13 [313]E(f11(f5(x3131),f5(x3132),a2),f5(f11(x3131,x3132,a2)))
% 5.03/5.13 [314]E(f12(f5(x3141),f5(x3142),a2),f5(f12(x3141,x3142,a2)))
% 5.03/5.13 [315]E(f12(f6(x3151),f6(x3152),a1),f6(f12(x3151,x3152,a2)))
% 5.03/5.13 [316]E(f12(f7(x3161),f7(x3162),a1),f7(f12(x3161,x3162,a2)))
% 5.03/5.13 [323]P9(f10(f11(x3231,x3231,a1),a1),f11(x3232,x3232,a1),a1)
% 5.03/5.13 [328]P9(f3(a1),f12(f11(x3281,x3281,a1),f11(x3282,x3282,a1),a1),a1)
% 5.03/5.13 [329]P9(f16(x3291,a2),f12(f16(f12(x3291,x3292,a2),a2),f16(x3292,a2),a1),a1)
% 5.03/5.13 [330]P9(f9(f16(f12(x3301,x3302,a2),a2),f16(x3301,a2),a1),f16(x3302,a2),a1)
% 5.03/5.13 [322]E(f8(f12(x3221,f10(x3222,a1),a1),a1),f8(f12(x3222,f10(x3221,a1),a1),a1))
% 5.03/5.13 [325]E(f9(f11(f6(x3251),f6(x3252),a1),f11(f7(x3251),f7(x3252),a1),a1),f6(f11(x3251,x3252,a2)))
% 5.03/5.13 [326]E(f12(f11(f6(x3261),f7(x3262),a1),f11(f7(x3261),f6(x3262),a1),a1),f7(f11(x3261,x3262,a2)))
% 5.03/5.13 [331]P9(x3311,f13(f12(f11(x3311,x3311,a1),f11(x3312,x3312,a1),a1)),a1)
% 5.03/5.13 [332]P9(f3(a1),f13(f12(f11(x3321,x3321,a1),f11(x3322,x3322,a1),a1)),a1)
% 5.03/5.13 [321]E(f11(f11(x3211,x3212,a1),x3213,a1),f11(x3211,f11(x3212,x3213,a1),a1))
% 5.03/5.13 [324]E(f12(f11(x3241,x3242,a1),f11(x3243,x3242,a1),a1),f11(f12(x3241,x3243,a1),x3242,a1))
% 5.03/5.13 [334]P9(f8(f12(f12(x3341,x3342,a1),f12(f10(x3343,a1),f10(x3344,a1),a1),a1),a1),f12(f8(f12(x3341,f10(x3343,a1),a1),a1),f8(f12(x3342,f10(x3344,a1),a1),a1),a1),a1)
% 5.03/5.13 [348]~E(f13(x3481),f3(a1))+E(x3481,f3(a1))
% 5.03/5.13 [349]~E(f13(x3491),f4(a1))+E(x3491,f4(a1))
% 5.03/5.13 [352]~P1(x3521)+P1(f27(x3521))
% 5.03/5.13 [353]~P51(x3531)+P3(f27(x3531))
% 5.03/5.13 [354]~P51(x3541)+P32(f27(x3541))
% 5.03/5.13 [355]~P18(x3551)+P5(f27(x3551))
% 5.03/5.13 [356]~P51(x3561)+P50(f27(x3561))
% 5.03/5.13 [357]~P51(x3571)+P51(f27(x3571))
% 5.03/5.13 [358]~P51(x3581)+P60(f27(x3581))
% 5.03/5.13 [359]~P49(x3591)+P65(f27(x3591))
% 5.03/5.13 [360]~P7(x3601)+P7(f27(x3601))
% 5.03/5.13 [361]~P1(x3611)+P67(f27(x3611))
% 5.03/5.13 [362]~P56(x3621)+P52(f27(x3621))
% 5.03/5.13 [363]~P45(x3631)+P53(f27(x3631))
% 5.03/5.13 [364]~P1(x3641)+P38(f27(x3641))
% 5.03/5.13 [365]~P56(x3651)+P68(f27(x3651))
% 5.03/5.13 [366]~P51(x3661)+P27(f27(x3661))
% 5.03/5.13 [367]~P51(x3671)+P59(f27(x3671))
% 5.03/5.13 [368]~P51(x3681)+P61(f27(x3681))
% 5.03/5.13 [369]~P51(x3691)+P54(f27(x3691))
% 5.03/5.13 [370]~P51(x3701)+P55(f27(x3701))
% 5.03/5.13 [371]~P51(x3711)+P63(f27(x3711))
% 5.03/5.13 [372]~P56(x3721)+P56(f27(x3721))
% 5.03/5.13 [373]~P48(x3731)+P13(f27(x3731))
% 5.03/5.13 [374]~P45(x3741)+P45(f27(x3741))
% 5.03/5.13 [375]~P1(x3751)+P17(f27(x3751))
% 5.03/5.13 [376]~P51(x3761)+P64(f27(x3761))
% 5.03/5.13 [377]~P51(x3771)+P33(f27(x3771))
% 5.03/5.13 [378]~P56(x3781)+P70(f27(x3781))
% 5.03/5.13 [379]~P18(x3791)+P18(f27(x3791))
% 5.03/5.13 [380]~P51(x3801)+P46(f27(x3801))
% 5.03/5.13 [381]~P51(x3811)+P62(f27(x3811))
% 5.03/5.13 [382]~P51(x3821)+P34(f27(x3821))
% 5.03/5.13 [383]~P19(x3831)+P19(f27(x3831))
% 5.03/5.13 [384]~P1(x3841)+P28(f27(x3841))
% 5.03/5.13 [385]~P45(x3851)+P20(f27(x3851))
% 5.03/5.13 [386]~P45(x3861)+P47(f27(x3861))
% 5.03/5.13 [387]~P51(x3871)+P31(f27(x3871))
% 5.03/5.13 [388]~P51(x3881)+P66(f27(x3881))
% 5.03/5.13 [389]~P25(x3891)+P23(f27(x3891))
% 5.03/5.13 [390]~P25(x3901)+P24(f27(x3901))
% 5.03/5.13 [391]~P51(x3911)+P39(f27(x3911))
% 5.03/5.13 [392]~P51(x3921)+P40(f27(x3921))
% 5.03/5.13 [393]~P19(x3931)+P21(f27(x3931))
% 5.03/5.13 [394]~P45(x3941)+P71(f27(x3941))
% 5.03/5.13 [395]~P51(x3951)+P58(f27(x3951))
% 5.03/5.13 [396]~P48(x3961)+P69(f27(x3961))
% 5.03/5.13 [397]~P19(x3971)+P30(f27(x3971))
% 5.03/5.13 [398]~P51(x3981)+P36(f27(x3981))
% 5.03/5.13 [399]~P51(x3991)+P35(f27(x3991))
% 5.03/5.13 [400]~P25(x4001)+P25(f27(x4001))
% 5.03/5.13 [401]~P48(x4011)+P48(f27(x4011))
% 5.03/5.13 [402]~P49(x4021)+P49(f27(x4021))
% 5.03/5.13 [404]~P67(x4041)+~E(f4(x4041),f3(x4041))
% 5.03/5.13 [406]E(x4061,f3(a1))+~E(f26(x4061,a1),f4(a1))
% 5.03/5.13 [461]E(f8(x4611,a1),x4611)+P10(x4611,f3(a1),a1)
% 5.03/5.13 [477]~P50(x4771)+P10(f3(x4771),f4(x4771),x4771)
% 5.03/5.13 [478]~P50(x4781)+P9(f3(x4781),f4(x4781),x4781)
% 5.03/5.13 [511]~E(f13(x5111),f3(a1))+~P10(f3(a1),x5111,a1)
% 5.03/5.13 [529]~P50(x5291)+~P10(f4(x5291),f3(x5291),x5291)
% 5.03/5.13 [530]~P50(x5301)+~P9(f4(x5301),f3(x5301),x5301)
% 5.03/5.13 [531]E(f8(x5311,a1),f10(x5311,a1))+~P10(x5311,f3(a1),a1)
% 5.03/5.13 [603]~P10(x6031,f3(a1),a1)+P10(f13(x6031),f3(a1),a1)
% 5.03/5.13 [604]~P10(x6041,f4(a1),a1)+P10(f13(x6041),f4(a1),a1)
% 5.03/5.13 [605]~P9(x6051,f3(a1),a1)+P9(f13(x6051),f3(a1),a1)
% 5.03/5.13 [606]~P9(x6061,f4(a1),a1)+P9(f13(x6061),f4(a1),a1)
% 5.03/5.13 [608]~P10(f3(a1),x6081,a1)+P10(f3(a1),f13(x6081),a1)
% 5.03/5.13 [609]~P10(f4(a1),x6091,a1)+P10(f4(a1),f13(x6091),a1)
% 5.03/5.13 [611]~P9(f3(a1),x6111,a1)+P9(f3(a1),f13(x6111),a1)
% 5.03/5.13 [613]~P9(f4(a1),x6131,a1)+P9(f4(a1),f13(x6131),a1)
% 5.03/5.13 [615]~P10(f13(x6151),f3(a1),a1)+P10(x6151,f3(a1),a1)
% 5.03/5.13 [616]~P10(f13(x6161),f4(a1),a1)+P10(x6161,f4(a1),a1)
% 5.03/5.13 [617]~P9(f13(x6171),f3(a1),a1)+P9(x6171,f3(a1),a1)
% 5.03/5.13 [618]~P9(f13(x6181),f4(a1),a1)+P9(x6181,f4(a1),a1)
% 5.03/5.13 [619]~P10(f3(a1),f13(x6191),a1)+P10(f3(a1),x6191,a1)
% 5.03/5.13 [620]~P10(f4(a1),f13(x6201),a1)+P10(f4(a1),x6201,a1)
% 5.03/5.13 [621]~P9(f3(a1),f13(x6211),a1)+P9(f3(a1),x6211,a1)
% 5.03/5.13 [622]~P9(f4(a1),f13(x6221),a1)+P9(f4(a1),x6221,a1)
% 5.03/5.13 [627]E(x6271,f3(a1))+P10(f3(a1),f11(x6271,x6271,a1),a1)
% 5.03/5.13 [628]~P10(f3(a1),x6281,a1)+P10(f4(a1),f26(x6281,a1),a1)
% 5.03/5.13 [629]~P9(f3(a1),x6291,a1)+P9(f4(a1),f26(x6291,a1),a1)
% 5.03/5.13 [630]~P10(x6301,f3(a1),a1)+P10(f26(x6301,a1),f4(a1),a1)
% 5.03/5.13 [631]~P9(x6311,f3(a1),a1)+P9(f26(x6311,a1),f4(a1),a1)
% 5.03/5.13 [669]P10(x6691,f3(a1),a1)+~P10(f26(x6691,a1),f4(a1),a1)
% 5.03/5.13 [670]P9(x6701,f3(a1),a1)+~P9(f26(x6701,a1),f4(a1),a1)
% 5.03/5.13 [671]P10(f3(a1),x6711,a1)+~P10(f4(a1),f26(x6711,a1),a1)
% 5.03/5.13 [672]P9(f3(a1),x6721,a1)+~P9(f4(a1),f26(x6721,a1),a1)
% 5.03/5.13 [408]~P2(x4081)+E(f16(f3(x4081),x4081),f3(a1))
% 5.03/5.13 [409]~P42(x4091)+E(f16(f4(x4091),x4091),f4(a1))
% 5.03/5.13 [411]~P3(x4111)+E(f8(f3(x4111),x4111),f3(x4111))
% 5.03/5.13 [412]~P51(x4121)+E(f8(f4(x4121),x4121),f4(x4121))
% 5.03/5.13 [413]~P5(x4131)+E(f10(f3(x4131),x4131),f3(x4131))
% 5.03/5.13 [414]~P31(x4141)+E(f10(f3(x4141),x4141),f3(x4141))
% 5.03/5.13 [430]~P51(x4301)+~P12(f3(f27(x4301)),x4301)
% 5.03/5.13 [483]~P26(x4831)+E(f12(f3(x4831),f3(x4831),x4831),f3(x4831))
% 5.03/5.13 [513]~P2(x5131)+P9(f16(f3(x5131),x5131),f3(a1),a1)
% 5.03/5.13 [519]~P3(x5191)+P9(f8(f3(x5191),x5191),f3(x5191),x5191)
% 5.03/5.13 [623]~P2(x6231)+~P10(f3(a1),f16(f3(x6231),x6231),a1)
% 5.03/5.13 [626]~P3(x6261)+~P10(f3(x6261),f8(f3(x6261),x6261),x6261)
% 5.03/5.13 [703]~P50(x7031)+P10(f3(x7031),f12(f4(x7031),f4(x7031),x7031),x7031)
% 5.03/5.13 [797]~P9(f3(a1),x7971,a1)+P9(f12(f4(a1),x7971,a1),f26(x7971,a1),a1)
% 5.03/5.13 [509]~P7(x5091)+E(f18(f3(x5091),f3(f27(x5091)),x5091),f3(f27(x5091)))
% 5.03/5.13 [841]~P59(x8411)+E(f12(f11(f3(x8411),f3(x8411),x8411),f11(f3(x8411),f3(x8411),x8411),x8411),f3(x8411))
% 5.03/5.13 [1101]~P59(x11011)+P9(f12(f11(f3(x11011),f3(x11011),x11011),f11(f3(x11011),f3(x11011),x11011),x11011),f3(x11011),x11011)
% 5.03/5.13 [1113]~P9(a29,f16(x11131,a2),a1)+P9(f12(a30,f16(a31,a2),a1),f16(f22(f18(a32,a33,a2),x11131,a2),a2),a1)
% 5.03/5.13 [1121]~P59(x11211)+~P10(f3(x11211),f12(f11(f3(x11211),f3(x11211),x11211),f11(f3(x11211),f3(x11211),x11211),x11211),x11211)
% 5.03/5.13 [435]~P39(x4352)+P9(x4351,x4351,x4352)
% 5.03/5.13 [436]~P40(x4362)+P9(x4361,x4361,x4362)
% 5.03/5.13 [437]~P8(x4372)+P11(x4371,x4371,x4372)
% 5.03/5.13 [503]~P10(x5032,x5032,x5031)+~P32(x5031)
% 5.03/5.13 [504]~P10(x5042,x5042,x5041)+~P39(x5041)
% 5.03/5.13 [505]~P10(x5052,x5052,x5051)+~P40(x5051)
% 5.03/5.13 [520]P9(x5202,x5201,a1)+P9(x5201,x5202,a1)
% 5.03/5.13 [566]~P10(x5661,x5662,a1)+P9(x5661,x5662,a1)
% 5.03/5.13 [350]E(x3501,x3502)+~E(f13(x3501),f13(x3502))
% 5.03/5.13 [351]E(x3511,x3512)+~E(f5(x3511),f5(x3512))
% 5.03/5.13 [421]E(x4211,x4212)+~E(f26(x4211,a1),f26(x4212,a1))
% 5.03/5.13 [438]~P22(x4382)+E(f11(x4381,x4381,x4382),x4381)
% 5.03/5.13 [439]~P32(x4392)+E(f19(x4391,x4391,x4392),x4391)
% 5.03/5.13 [440]~P32(x4402)+E(f20(x4401,x4401,x4402),x4401)
% 5.03/5.13 [441]~P6(x4412)+E(f14(x4411,x4411,x4412),x4411)
% 5.03/5.13 [443]~P5(x4432)+E(f9(x4431,x4431,x4432),f3(x4432))
% 5.03/5.13 [444]~P18(x4442)+E(f9(x4441,x4441,x4442),f3(x4442))
% 5.03/5.13 [445]~P37(x4451)+P9(f21(x4451),x4452,x4451)
% 5.03/5.13 [490]~P3(x4902)+P9(x4901,f8(x4901,x4902),x4902)
% 5.03/5.13 [491]~P2(x4912)+P9(f3(a1),f16(x4911,x4912),a1)
% 5.03/5.13 [506]~P3(x5061)+P9(f3(x5061),f8(x5062,x5061),x5061)
% 5.03/5.13 [512]E(x5121,f10(x5122,a1))+~E(f12(x5122,x5121,a1),f3(a1))
% 5.03/5.13 [532]~P3(x5322)+P9(f10(x5321,x5322),f8(x5321,x5322),x5322)
% 5.03/5.13 [565]~P2(x5651)+~P10(f16(x5652,x5651),f3(a1),a1)
% 5.03/5.13 [576]~P3(x5761)+~P10(f8(x5762,x5761),f3(x5761),x5761)
% 5.03/5.13 [588]~P10(x5881,x5882,a1)+P10(f13(x5881),f13(x5882),a1)
% 5.03/5.13 [589]~P10(x5891,x5892,a1)+P10(f15(x5891),f15(x5892),a1)
% 5.03/5.13 [590]~P9(x5901,x5902,a1)+P9(f13(x5901),f13(x5902),a1)
% 5.03/5.13 [591]~P9(x5911,x5912,a1)+P9(f15(x5911),f15(x5912),a1)
% 5.03/5.13 [624]P10(x6241,x6242,a1)+~P10(f13(x6241),f13(x6242),a1)
% 5.03/5.13 [625]P9(x6251,x6252,a1)+~P9(f13(x6251),f13(x6252),a1)
% 5.03/5.13 [651]P9(x6511,x6512,a1)+~P9(f8(x6511,a1),x6512,a1)
% 5.03/5.13 [652]~P59(x6521)+P9(f3(x6521),f11(x6522,x6522,x6521),x6521)
% 5.03/5.13 [677]~P10(x6771,x6772,a1)+P10(f26(x6771,a1),f26(x6772,a1),a1)
% 5.03/5.13 [678]~P9(x6781,x6782,a1)+P9(f26(x6781,a1),f26(x6782,a1),a1)
% 5.03/5.13 [701]~P9(f8(x7012,a1),x7011,a1)+P9(f10(x7011,a1),x7012,a1)
% 5.03/5.13 [719]P10(x7191,x7192,a1)+~P10(f26(x7191,a1),f26(x7192,a1),a1)
% 5.03/5.13 [720]P9(x7201,x7202,a1)+~P9(f26(x7201,a1),f26(x7202,a1),a1)
% 5.03/5.13 [757]~P9(x7571,x7572,a1)+P9(f9(x7571,x7572,a1),f3(a1),a1)
% 5.03/5.13 [795]~P59(x7951)+~P10(f11(x7952,x7952,x7951),f3(x7951),x7951)
% 5.03/5.13 [800]~P10(f10(x8001,a1),x8002,a1)+P10(f3(a1),f12(x8001,x8002,a1),a1)
% 5.03/5.13 [801]~P9(f10(x8011,a1),x8012,a1)+P9(f3(a1),f12(x8011,x8012,a1),a1)
% 5.03/5.13 [802]~P10(x8022,f10(x8021,a1),a1)+P10(f12(x8021,x8022,a1),f3(a1),a1)
% 5.03/5.13 [803]~P9(x8032,f10(x8031,a1),a1)+P9(f12(x8031,x8032,a1),f3(a1),a1)
% 5.03/5.13 [814]P9(x8141,x8142,a1)+~P9(f9(x8141,x8142,a1),f3(a1),a1)
% 5.03/5.13 [837]P10(x8371,f10(x8372,a1),a1)+~P10(f12(x8372,x8371,a1),f3(a1),a1)
% 5.03/5.13 [838]P9(x8381,f10(x8382,a1),a1)+~P9(f12(x8382,x8381,a1),f3(a1),a1)
% 5.03/5.13 [839]P10(f10(x8391,a1),x8392,a1)+~P10(f3(a1),f12(x8391,x8392,a1),a1)
% 5.03/5.13 [840]P9(f10(x8401,a1),x8402,a1)+~P9(f3(a1),f12(x8401,x8402,a1),a1)
% 5.03/5.13 [426]~P5(x4262)+E(f10(f10(x4261,x4262),x4262),x4261)
% 5.03/5.13 [427]~P15(x4272)+E(f10(f10(x4271,x4272),x4272),x4271)
% 5.03/5.13 [431]~P2(x4312)+E(f8(f16(x4311,x4312),a1),f16(x4311,x4312))
% 5.03/5.13 [432]~P2(x4322)+E(f16(f10(x4321,x4322),x4322),f16(x4321,x4322))
% 5.03/5.13 [433]~P3(x4332)+E(f8(f8(x4331,x4332),x4332),f8(x4331,x4332))
% 5.03/5.13 [434]~P3(x4342)+E(f8(f10(x4341,x4342),x4342),f8(x4341,x4342))
% 5.03/5.13 [446]~P1(x4462)+E(f11(x4461,f4(x4462),x4462),x4461)
% 5.03/5.13 [447]~P28(x4472)+E(f11(x4471,f4(x4472),x4472),x4471)
% 5.03/5.13 [448]~P1(x4482)+E(f12(x4481,f3(x4482),x4482),x4481)
% 5.03/5.13 [449]~P19(x4492)+E(f12(x4491,f3(x4492),x4492),x4491)
% 5.03/5.13 [450]~P30(x4502)+E(f12(x4501,f3(x4502),x4502),x4501)
% 5.03/5.13 [451]~P5(x4512)+E(f9(x4511,f3(x4512),x4512),x4511)
% 5.03/5.13 [453]~P1(x4531)+E(f11(f4(x4531),x4532,x4531),x4532)
% 5.03/5.13 [454]~P17(x4541)+E(f11(f4(x4541),x4542,x4541),x4542)
% 5.03/5.13 [455]~P28(x4551)+E(f11(f4(x4551),x4552,x4551),x4552)
% 5.03/5.13 [457]~P1(x4571)+E(f12(f3(x4571),x4572,x4571),x4572)
% 5.03/5.13 [458]~P19(x4581)+E(f12(f3(x4581),x4582,x4581),x4582)
% 5.03/5.13 [459]~P30(x4591)+E(f12(f3(x4591),x4592,x4591),x4592)
% 5.03/5.13 [460]~P1(x4601)+E(f24(f4(x4601),x4602,x4601),x4602)
% 5.03/5.13 [462]~P1(x4622)+E(f11(x4621,f3(x4622),x4622),f3(x4622))
% 5.03/5.13 [463]~P53(x4632)+E(f11(x4631,f3(x4632),x4632),f3(x4632))
% 5.03/5.13 [465]~P41(x4652)+E(f11(x4651,f3(x4652),x4652),f3(x4652))
% 5.03/5.13 [466]~P70(x4662)+E(f11(x4661,f3(x4662),x4662),f3(x4662))
% 5.03/5.13 [467]~P16(x4672)+E(f14(x4671,f21(x4672),x4672),f21(x4672))
% 5.03/5.13 [469]~P1(x4691)+E(f11(f3(x4691),x4692,x4691),f3(x4691))
% 5.03/5.13 [470]~P53(x4701)+E(f11(f3(x4701),x4702,x4701),f3(x4701))
% 5.03/5.13 [472]~P41(x4721)+E(f11(f3(x4721),x4722,x4721),f3(x4721))
% 5.03/5.13 [473]~P70(x4731)+E(f11(f3(x4731),x4732,x4731),f3(x4731))
% 5.03/5.13 [474]~P28(x4741)+E(f17(f4(x4741),x4742,x4741),f4(x4741))
% 5.03/5.13 [475]~P16(x4751)+E(f14(f21(x4751),x4752,x4751),f21(x4751))
% 5.03/5.13 [481]~P56(x4811)+E(f24(f3(x4811),x4812,x4811),f3(f27(x4811)))
% 5.03/5.13 [482]~P45(x4821)+E(f24(f3(x4821),x4822,x4821),f3(f27(x4821)))
% 5.03/5.13 [484]~P5(x4841)+E(f9(f3(x4841),x4842,x4841),f10(x4842,x4841))
% 5.03/5.13 [488]~P19(x4882)+E(f12(x4881,f3(f27(x4882)),f27(x4882)),x4881)
% 5.03/5.13 [489]~P19(x4891)+E(f12(f3(f27(x4891)),x4892,f27(x4891)),x4892)
% 5.03/5.13 [497]~P5(x4972)+E(f12(x4971,f10(x4971,x4972),x4972),f3(x4972))
% 5.03/5.13 [498]~P15(x4982)+E(f14(x4981,f10(x4981,x4982),x4982),f21(x4982))
% 5.03/5.13 [500]~P5(x5002)+E(f12(f10(x5001,x5002),x5001,x5002),f3(x5002))
% 5.03/5.13 [501]~P18(x5012)+E(f12(f10(x5011,x5012),x5011,x5012),f3(x5012))
% 5.03/5.13 [502]~P15(x5022)+E(f14(f10(x5021,x5022),x5021,x5022),f21(x5022))
% 5.03/5.13 [559]E(x5591,x5592)+~E(f12(x5591,f10(x5592,a1),a1),f3(a1))
% 5.03/5.13 [578]~P3(x5782)+P9(f10(f8(x5781,x5782),x5782),f3(x5782),x5782)
% 5.03/5.13 [633]~P51(x6332)+E(f11(f8(x6331,x6332),f8(x6331,x6332),x6332),f11(x6331,x6331,x6332))
% 5.03/5.13 [635]~P56(x6352)+E(f11(f10(x6351,x6352),f10(x6351,x6352),x6352),f11(x6351,x6351,x6352))
% 5.03/5.13 [668]~P50(x6682)+P10(x6681,f12(x6681,f4(x6682),x6682),x6682)
% 5.03/5.13 [784]E(x7841,f3(a1))+~E(f11(x7842,x7842,a1),f10(f11(x7841,x7841,a1),a1))
% 5.03/5.13 [785]E(x7851,f3(a1))+~E(f11(x7851,x7851,a1),f10(f11(x7852,x7852,a1),a1))
% 5.03/5.13 [805]~P10(x8052,x8051,a1)+P10(f3(a1),f12(x8051,f10(x8052,a1),a1),a1)
% 5.03/5.13 [939]P10(x9391,x9392,a1)+~P10(f3(a1),f12(x9392,f10(x9391,a1),a1),a1)
% 5.03/5.13 [953]E(x9531,f3(a1))+~E(f12(f11(x9532,x9532,a1),f11(x9531,x9531,a1),a1),f3(a1))
% 5.03/5.13 [954]E(x9541,f3(a1))+~E(f12(f11(x9541,x9541,a1),f11(x9542,x9542,a1),a1),f3(a1))
% 5.03/5.13 [1069]E(x10691,f3(a1))+P10(f3(a1),f12(f11(x10692,x10692,a1),f11(x10691,x10691,a1),a1),a1)
% 5.03/5.13 [1070]E(x10701,f3(a1))+P10(f3(a1),f12(f11(x10701,x10701,a1),f11(x10702,x10702,a1),a1),a1)
% 5.03/5.13 [486]~P56(x4861)+E(f22(f3(f27(x4861)),x4862,x4861),f3(x4861))
% 5.03/5.13 [487]~P45(x4871)+E(f22(f3(f27(x4871)),x4872,x4871),f3(x4871))
% 5.03/5.13 [492]~P56(x4922)+E(f24(x4921,f3(f27(x4922)),x4922),f3(f27(x4922)))
% 5.03/5.13 [493]~P45(x4932)+E(f24(x4931,f3(f27(x4932)),x4932),f3(f27(x4932)))
% 5.03/5.13 [494]~P45(x4941)+E(f23(f3(f27(x4941)),x4942,x4941),f3(f27(x4941)))
% 5.03/5.13 [495]~P45(x4951)+E(f25(f3(f27(x4951)),x4952,x4951),f3(f27(x4951)))
% 5.03/5.13 [533]~P13(x5331)+E(f11(f10(f4(x5331),x5331),x5332,x5331),f10(x5332,x5331))
% 5.03/5.13 [758]~P1(x7582)+E(f12(x7581,x7581,x7582),f11(f12(f4(x7582),f4(x7582),x7582),x7581,x7582))
% 5.03/5.13 [538]~P1(x5383)+E(f11(x5381,x5382,x5383),f11(x5382,x5381,x5383))
% 5.03/5.13 [540]~P1(x5403)+E(f12(x5401,x5402,x5403),f12(x5402,x5401,x5403))
% 5.03/5.13 [541]~P19(x5413)+E(f12(x5411,x5412,x5413),f12(x5412,x5411,x5413))
% 5.03/5.13 [542]~P32(x5423)+E(f19(x5421,x5422,x5423),f19(x5422,x5421,x5423))
% 5.03/5.13 [543]~P32(x5433)+E(f20(x5431,x5432,x5433),f20(x5432,x5431,x5433))
% 5.03/5.13 [544]~P6(x5443)+E(f14(x5441,x5442,x5443),f14(x5442,x5441,x5443))
% 5.03/5.13 [545]~P14(x5453)+E(f14(x5451,x5452,x5453),f14(x5452,x5451,x5453))
% 5.03/5.13 [636]~P32(x6363)+P9(x6361,f20(x6362,x6361,x6363),x6363)
% 5.03/5.13 [637]~P32(x6373)+P9(x6371,f20(x6371,x6372,x6373),x6373)
% 5.03/5.13 [638]~P32(x6383)+P9(f19(x6381,x6382,x6383),x6382,x6383)
% 5.03/5.13 [639]~P32(x6393)+P9(f19(x6391,x6392,x6393),x6391,x6393)
% 5.03/5.13 [640]~P6(x6403)+P9(f14(x6401,x6402,x6403),x6402,x6403)
% 5.03/5.13 [641]~P14(x6413)+P9(f14(x6411,x6412,x6413),x6412,x6413)
% 5.03/5.13 [642]~P6(x6423)+P9(f14(x6421,x6422,x6423),x6421,x6423)
% 5.03/5.13 [643]~P14(x6433)+P9(f14(x6431,x6432,x6433),x6431,x6433)
% 5.03/5.13 [891]~P9(x8912,x8913,a1)+P9(f12(x8911,x8912,a1),f12(x8911,x8913,a1),a1)
% 5.03/5.13 [570]~P5(x5703)+E(f12(x5701,f10(x5702,x5703),x5703),f9(x5701,x5702,x5703))
% 5.03/5.13 [571]~P13(x5713)+E(f12(x5711,f10(x5712,x5713),x5713),f9(x5711,x5712,x5713))
% 5.03/5.13 [573]~P18(x5733)+E(f12(x5731,f10(x5732,x5733),x5733),f9(x5731,x5732,x5733))
% 5.03/5.13 [574]~P15(x5743)+E(f14(x5741,f10(x5742,x5743),x5743),f9(x5741,x5742,x5743))
% 5.03/5.13 [575]~P5(x5753)+E(f9(x5751,f10(x5752,x5753),x5753),f12(x5751,x5752,x5753))
% 5.03/5.13 [632]~P65(x6322)+E(f11(f10(x6321,x6322),x6323,x6322),f11(x6321,f10(x6323,x6322),x6322))
% 5.03/5.13 [634]~P65(x6342)+E(f11(f10(x6341,x6342),f10(x6343,x6342),x6342),f11(x6341,x6343,x6342))
% 5.03/5.13 [644]~P32(x6443)+E(f19(x6441,f20(x6441,x6442,x6443),x6443),x6441)
% 5.03/5.13 [645]~P32(x6453)+E(f20(x6451,f19(x6451,x6452,x6453),x6453),x6451)
% 5.03/5.13 [646]~P5(x6463)+E(f12(f9(x6461,x6462,x6463),x6462,x6463),x6461)
% 5.03/5.13 [647]~P5(x6473)+E(f9(f12(x6471,x6472,x6473),x6472,x6473),x6471)
% 5.03/5.13 [676]~P18(x6763)+E(f10(f9(x6761,x6762,x6763),x6763),f9(x6762,x6761,x6763))
% 5.03/5.13 [699]~P18(x6992)+E(f12(f10(x6991,x6992),f12(x6993,x6991,x6992),x6992),x6993)
% 5.03/5.13 [700]~P5(x7002)+E(f12(f10(x7001,x7002),f12(x7001,x7003,x7002),x7002),x7003)
% 5.03/5.13 [711]~P44(x7113)+E(f16(f17(x7111,x7112,x7113),x7113),f17(f16(x7111,x7113),x7112,a1))
% 5.03/5.13 [712]~P65(x7123)+E(f11(x7121,f10(x7122,x7123),x7123),f10(f11(x7121,x7122,x7123),x7123))
% 5.03/5.13 [713]~P51(x7132)+E(f17(f8(x7131,x7132),x7133,x7132),f8(f17(x7131,x7133,x7132),x7132))
% 5.03/5.13 [714]~P65(x7142)+E(f11(f10(x7141,x7142),x7143,x7142),f10(f11(x7141,x7143,x7142),x7142))
% 5.03/5.13 [716]~P41(x7163)+E(f11(x7161,f10(x7162,x7163),x7163),f10(f11(x7161,x7162,x7163),x7163))
% 5.03/5.13 [718]~P41(x7182)+E(f11(f10(x7181,x7182),x7183,x7182),f10(f11(x7181,x7183,x7182),x7182))
% 5.03/5.13 [733]~P22(x7333)+E(f11(x7331,f11(x7331,x7332,x7333),x7333),f11(x7331,x7332,x7333))
% 5.03/5.13 [734]~P32(x7343)+E(f19(x7341,f19(x7341,x7342,x7343),x7343),f19(x7341,x7342,x7343))
% 5.03/5.13 [735]~P32(x7353)+E(f20(x7351,f20(x7351,x7352,x7353),x7353),f20(x7351,x7352,x7353))
% 5.03/5.13 [736]~P6(x7363)+E(f14(x7361,f14(x7361,x7362,x7363),x7363),f14(x7361,x7362,x7363))
% 5.03/5.13 [737]~P14(x7373)+E(f14(x7371,f14(x7371,x7372,x7373),x7373),f14(x7371,x7372,x7373))
% 5.03/5.13 [739]~P51(x7391)+P9(f3(x7391),f17(f8(x7392,x7391),x7393,x7391),x7391)
% 5.03/5.13 [742]~P44(x7422)+E(f11(f16(x7421,x7422),f16(x7423,x7422),a1),f16(f11(x7421,x7423,x7422),x7422))
% 5.03/5.13 [743]~P51(x7432)+E(f11(f8(x7431,x7432),f8(x7433,x7432),x7432),f8(f11(x7431,x7433,x7432),x7432))
% 5.03/5.13 [744]~P5(x7442)+E(f12(f10(x7441,x7442),f10(x7443,x7442),x7442),f10(f12(x7443,x7441,x7442),x7442))
% 5.03/5.13 [745]~P18(x7452)+E(f12(f10(x7451,x7452),f10(x7453,x7452),x7452),f10(f12(x7451,x7453,x7452),x7452))
% 5.03/5.13 [746]~P18(x7462)+E(f9(f10(x7461,x7462),f10(x7463,x7462),x7462),f10(f9(x7461,x7463,x7462),x7462))
% 5.03/5.13 [759]~P2(x7593)+E(f16(f9(x7591,x7592,x7593),x7593),f16(f9(x7592,x7591,x7593),x7593))
% 5.03/5.13 [760]~P3(x7603)+E(f8(f9(x7601,x7602,x7603),x7603),f8(f9(x7602,x7601,x7603),x7603))
% 5.03/5.13 [857]~P28(x8573)+E(f11(f17(x8571,x8572,x8573),x8571,x8573),f11(x8571,f17(x8571,x8572,x8573),x8573))
% 5.03/5.13 [963]~P9(f16(x9632,a2),x9633,a1)+P9(f16(f22(x9631,x9632,a2),a2),f35(x9631,x9633),a1)
% 5.03/5.13 [964]~P69(x9641)+E(f11(f17(f10(f4(x9641),x9641),x9642,x9641),f17(x9643,x9642,x9641),x9641),f17(f10(x9643,x9641),x9642,x9641))
% 5.03/5.13 [1007]~P42(x10073)+P9(f16(f17(x10071,x10072,x10073),x10073),f17(f16(x10071,x10073),x10072,a1),a1)
% 5.03/5.13 [1040]~P41(x10403)+P9(f16(f11(x10401,x10402,x10403),x10403),f11(f16(x10401,x10403),f16(x10402,x10403),a1),a1)
% 5.03/5.13 [1041]~P2(x10413)+P9(f16(f12(x10411,x10412,x10413),x10413),f12(f16(x10411,x10413),f16(x10412,x10413),a1),a1)
% 5.03/5.13 [1042]~P2(x10423)+P9(f16(f9(x10421,x10422,x10423),x10423),f12(f16(x10421,x10423),f16(x10422,x10423),a1),a1)
% 5.03/5.13 [1043]~P2(x10432)+P9(f9(f16(x10431,x10432),f16(x10433,x10432),a1),f16(f12(x10431,x10433,x10432),x10432),a1)
% 5.03/5.13 [1044]~P2(x10442)+P9(f9(f16(x10441,x10442),f16(x10443,x10442),a1),f16(f9(x10441,x10443,x10442),x10442),a1)
% 5.03/5.13 [1046]~P57(x10463)+P9(f8(f11(x10461,x10462,x10463),x10463),f11(f8(x10461,x10463),f8(x10462,x10463),x10463),x10463)
% 5.03/5.13 [1047]~P3(x10473)+P9(f8(f12(x10471,x10472,x10473),x10473),f12(f8(x10471,x10473),f8(x10472,x10473),x10473),x10473)
% 5.03/5.13 [1048]~P3(x10483)+P9(f8(f9(x10481,x10482,x10483),x10483),f12(f8(x10481,x10483),f8(x10482,x10483),x10483),x10483)
% 5.03/5.13 [1049]~P3(x10492)+P9(f9(f8(x10491,x10492),f8(x10493,x10492),x10492),f8(f9(x10491,x10493,x10492),x10492),x10492)
% 5.03/5.13 [1083]~P59(x10831)+P9(f3(x10831),f12(f11(x10832,x10832,x10831),f11(x10833,x10833,x10831),x10831),x10831)
% 5.03/5.14 [1099]~P45(x10993)+E(f12(x10991,f24(x10992,f25(x10991,x10992,x10993),x10993),f27(x10993)),f18(f22(x10991,x10992,x10993),f25(x10991,x10992,x10993),x10993))
% 5.03/5.14 [1114]~P59(x11141)+~P10(f12(f11(x11142,x11142,x11141),f11(x11143,x11143,x11141),x11141),f3(x11141),x11141)
% 5.03/5.14 [732]~P5(x7322)+E(f12(x7321,f12(f10(x7321,x7322),x7323,x7322),x7322),x7323)
% 5.03/5.14 [808]~P51(x8082)+E(f8(f17(f10(x8081,x8082),x8083,x8082),x8082),f8(f17(x8081,x8083,x8082),x8082))
% 5.03/5.14 [877]~P3(x8772)+E(f8(f12(f8(x8771,x8772),f8(x8773,x8772),x8772),x8772),f12(f8(x8771,x8772),f8(x8773,x8772),x8772))
% 5.03/5.14 [889]~P1(x8893)+E(f12(x8891,f11(x8892,x8891,x8893),x8893),f11(f12(x8892,f4(x8893),x8893),x8891,x8893))
% 5.03/5.14 [890]~P1(x8903)+E(f12(f11(x8901,x8902,x8903),x8902,x8903),f11(f12(x8901,f4(x8903),x8903),x8902,x8903))
% 5.03/5.14 [1102]~P9(f16(x11023,a2),x11022,a1)+P9(f16(f22(x11021,f36(x11021,x11022),a2),a2),f16(f22(x11021,x11023,a2),a2),a1)
% 5.03/5.14 [1103]~P2(x11032)+P9(f8(f9(f16(x11031,x11032),f16(x11033,x11032),a1),a1),f16(f9(x11031,x11033,x11032),x11032),a1)
% 5.03/5.14 [1104]~P3(x11042)+P9(f8(f9(f8(x11041,x11042),f8(x11043,x11042),x11042),x11042),f8(f9(x11041,x11043,x11042),x11042),x11042)
% 5.03/5.14 [842]~P1(x8424)+E(f11(x8421,f11(x8422,x8423,x8424),x8424),f11(x8422,f11(x8421,x8423,x8424),x8424))
% 5.03/5.14 [843]~P1(x8434)+E(f12(x8431,f12(x8432,x8433,x8434),x8434),f12(x8432,f12(x8431,x8433,x8434),x8434))
% 5.03/5.14 [844]~P18(x8444)+E(f12(x8441,f12(x8442,x8443,x8444),x8444),f12(x8442,f12(x8441,x8443,x8444),x8444))
% 5.03/5.14 [845]~P19(x8454)+E(f12(x8451,f12(x8452,x8453,x8454),x8454),f12(x8452,f12(x8451,x8453,x8454),x8454))
% 5.03/5.14 [846]~P32(x8464)+E(f19(x8461,f19(x8462,x8463,x8464),x8464),f19(x8462,f19(x8461,x8463,x8464),x8464))
% 5.03/5.14 [847]~P32(x8474)+E(f20(x8471,f20(x8472,x8473,x8474),x8474),f20(x8472,f20(x8471,x8473,x8474),x8474))
% 5.03/5.14 [848]~P6(x8484)+E(f14(x8481,f14(x8482,x8483,x8484),x8484),f14(x8482,f14(x8481,x8483,x8484),x8484))
% 5.03/5.14 [849]~P14(x8494)+E(f14(x8491,f14(x8492,x8493,x8494),x8494),f14(x8492,f14(x8491,x8493,x8494),x8494))
% 5.03/5.14 [854]~P45(x8543)+E(f24(f11(x8541,x8542,x8543),x8544,x8543),f24(x8541,f24(x8542,x8544,x8543),x8543))
% 5.03/5.14 [855]~P1(x8553)+E(f11(f11(x8551,x8552,x8553),x8554,x8553),f11(x8551,f11(x8552,x8554,x8553),x8553))
% 5.03/5.14 [856]~P20(x8563)+E(f11(f11(x8561,x8562,x8563),x8564,x8563),f11(x8561,f11(x8562,x8564,x8563),x8563))
% 5.03/5.14 [858]~P1(x8583)+E(f12(f12(x8581,x8582,x8583),x8584,x8583),f12(x8581,f12(x8582,x8584,x8583),x8583))
% 5.03/5.14 [859]~P19(x8593)+E(f12(f12(x8591,x8592,x8593),x8594,x8593),f12(x8591,f12(x8592,x8594,x8593),x8593))
% 5.03/5.14 [860]~P21(x8603)+E(f12(f12(x8601,x8602,x8603),x8604,x8603),f12(x8601,f12(x8602,x8604,x8603),x8603))
% 5.03/5.14 [861]~P32(x8613)+E(f19(f19(x8611,x8612,x8613),x8614,x8613),f19(x8611,f19(x8612,x8614,x8613),x8613))
% 5.03/5.14 [862]~P32(x8623)+E(f20(f20(x8621,x8622,x8623),x8624,x8623),f20(x8621,f20(x8622,x8624,x8623),x8623))
% 5.03/5.14 [863]~P6(x8633)+E(f14(f14(x8631,x8632,x8633),x8634,x8633),f14(x8631,f14(x8632,x8634,x8633),x8633))
% 5.03/5.14 [864]~P14(x8643)+E(f14(f14(x8641,x8642,x8643),x8644,x8643),f14(x8641,f14(x8642,x8644,x8643),x8643))
% 5.03/5.14 [865]~P45(x8653)+E(f22(f24(x8651,x8652,x8653),x8654,x8653),f11(x8651,f22(x8652,x8654,x8653),x8653))
% 5.03/5.14 [866]~P45(x8663)+E(f22(f23(x8661,x8662,x8663),x8664,x8663),f22(x8661,f22(x8662,x8664,x8663),x8663))
% 5.03/5.14 [867]~P1(x8673)+E(f11(f11(x8671,x8672,x8673),x8674,x8673),f11(f11(x8671,x8674,x8673),x8672,x8673))
% 5.03/5.14 [868]~P1(x8683)+E(f12(f12(x8681,x8682,x8683),x8684,x8683),f12(f12(x8681,x8684,x8683),x8682,x8683))
% 5.03/5.14 [969]~P1(x9693)+E(f12(f11(x9691,x9692,x9693),f11(x9691,x9694,x9693),x9693),f11(x9691,f12(x9692,x9694,x9693),x9693))
% 5.03/5.14 [971]~P41(x9713)+E(f12(f11(x9711,x9712,x9713),f11(x9711,x9714,x9713),x9713),f11(x9711,f12(x9712,x9714,x9713),x9713))
% 5.03/5.14 [973]~P41(x9733)+E(f9(f11(x9731,x9732,x9733),f11(x9731,x9734,x9733),x9733),f11(x9731,f9(x9732,x9734,x9733),x9733))
% 5.03/5.14 [974]~P26(x9743)+E(f14(f12(x9741,x9742,x9743),f12(x9741,x9744,x9743),x9743),f12(x9741,f14(x9742,x9744,x9743),x9743))
% 5.03/5.14 [975]~P29(x9753)+E(f14(f12(x9751,x9752,x9753),f12(x9751,x9754,x9753),x9753),f12(x9751,f14(x9752,x9754,x9753),x9753))
% 5.03/5.14 [976]~P32(x9763)+E(f20(f19(x9761,x9762,x9763),f19(x9761,x9764,x9763),x9763),f19(x9761,f20(x9762,x9764,x9763),x9763))
% 5.03/5.14 [977]~P32(x9773)+E(f19(f20(x9771,x9772,x9773),f20(x9771,x9774,x9773),x9773),f20(x9771,f19(x9772,x9774,x9773),x9773))
% 5.03/5.14 [978]~P45(x9783)+E(f18(f11(x9781,x9782,x9783),f24(x9781,x9784,x9783),x9783),f24(x9781,f18(x9782,x9784,x9783),x9783))
% 5.03/5.14 [981]~P41(x9813)+E(f12(f11(x9811,x9812,x9813),f11(x9814,x9812,x9813),x9813),f11(f12(x9811,x9814,x9813),x9812,x9813))
% 5.03/5.14 [982]~P47(x9823)+E(f12(f11(x9821,x9822,x9823),f11(x9824,x9822,x9823),x9823),f11(f12(x9821,x9824,x9823),x9822,x9823))
% 5.03/5.14 [984]~P41(x9843)+E(f9(f11(x9841,x9842,x9843),f11(x9844,x9842,x9843),x9843),f11(f9(x9841,x9844,x9843),x9842,x9843))
% 5.03/5.14 [985]~P34(x9853)+E(f19(f12(x9851,x9852,x9853),f12(x9854,x9852,x9853),x9853),f12(f19(x9851,x9854,x9853),x9852,x9853))
% 5.03/5.14 [986]~P34(x9863)+E(f20(f12(x9861,x9862,x9863),f12(x9864,x9862,x9863),x9863),f12(f20(x9861,x9864,x9863),x9862,x9863))
% 5.03/5.14 [987]~P26(x9873)+E(f14(f12(x9871,x9872,x9873),f12(x9874,x9872,x9873),x9873),f12(f14(x9871,x9874,x9873),x9872,x9873))
% 5.03/5.14 [988]~P29(x9883)+E(f14(f12(x9881,x9882,x9883),f12(x9884,x9882,x9883),x9883),f12(f14(x9881,x9884,x9883),x9882,x9883))
% 5.03/5.14 [989]~P32(x9893)+E(f20(f19(x9891,x9892,x9893),f19(x9894,x9892,x9893),x9893),f19(f20(x9891,x9894,x9893),x9892,x9893))
% 5.03/5.14 [990]~P1(x9903)+E(f11(f17(x9901,x9902,x9903),f17(x9904,x9902,x9903),x9903),f17(f11(x9901,x9904,x9903),x9902,x9903))
% 5.03/5.14 [991]~P17(x9913)+E(f11(f17(x9911,x9912,x9913),f17(x9914,x9912,x9913),x9913),f17(f11(x9911,x9914,x9913),x9912,x9913))
% 5.03/5.14 [992]~P32(x9923)+E(f19(f20(x9921,x9922,x9923),f20(x9924,x9922,x9923),x9923),f20(f19(x9921,x9924,x9923),x9922,x9923))
% 5.03/5.14 [993]~P27(x9933)+E(f19(f9(x9931,x9932,x9933),f9(x9934,x9932,x9933),x9933),f9(f19(x9931,x9934,x9933),x9932,x9933))
% 5.03/5.14 [994]~P27(x9943)+E(f20(f9(x9941,x9942,x9943),f9(x9944,x9942,x9943),x9943),f9(f20(x9941,x9944,x9943),x9942,x9943))
% 5.03/5.14 [995]~P45(x9953)+E(f25(f18(x9951,x9952,x9953),x9954,x9953),f18(f22(x9952,x9954,x9953),f25(x9952,x9954,x9953),x9953))
% 5.03/5.14 [996]~P1(x9963)+E(f12(f11(x9961,x9962,x9963),f11(x9964,x9962,x9963),x9963),f11(f12(x9961,x9964,x9963),x9962,x9963))
% 5.03/5.14 [999]~P45(x9993)+E(f12(f24(x9991,x9992,x9993),f24(x9994,x9992,x9993),f27(x9993)),f24(f12(x9991,x9994,x9993),x9992,x9993))
% 5.03/5.14 [1111]~P32(x11114)+P9(f20(x11111,f19(x11112,x11113,x11114),x11114),f19(f20(x11111,x11112,x11114),f20(x11111,x11113,x11114),x11114),x11114)
% 5.03/5.14 [1112]~P32(x11123)+P9(f20(f19(x11121,x11122,x11123),f19(x11121,x11124,x11123),x11123),f19(x11121,f20(x11122,x11124,x11123),x11123),x11123)
% 5.03/5.14 [1005]~P45(x10053)+E(f12(f22(x10051,x10052,x10053),f22(x10054,x10052,x10053),x10053),f22(f12(x10051,x10054,f27(x10053)),x10052,x10053))
% 5.03/5.14 [1006]~P45(x10063)+E(f12(f24(x10061,x10062,x10063),f24(x10061,x10064,x10063),f27(x10063)),f24(x10061,f12(x10062,x10064,f27(x10063)),x10063))
% 5.03/5.14 [1053]~P45(x10534)+E(f12(x10531,f11(x10532,f22(x10533,x10532,x10534),x10534),x10534),f22(f18(x10531,x10533,x10534),x10532,x10534))
% 5.03/5.14 [1054]~P1(x10543)+E(f11(f11(x10541,x10542,x10543),f11(x10544,x10545,x10543),x10543),f11(f11(x10541,x10544,x10543),f11(x10542,x10545,x10543),x10543))
% 5.03/5.14 [1055]~P1(x10553)+E(f12(f12(x10551,x10552,x10553),f12(x10554,x10555,x10553),x10553),f12(f12(x10551,x10554,x10553),f12(x10552,x10555,x10553),x10553))
% 5.03/5.14 [1056]~P18(x10563)+E(f9(f12(x10561,x10562,x10563),f12(x10564,x10565,x10563),x10563),f12(f9(x10561,x10564,x10563),f9(x10562,x10565,x10563),x10563))
% 5.03/5.14 [1068]~P19(x10683)+E(f18(f12(x10681,x10682,x10683),f12(x10684,x10685,f27(x10683)),x10683),f12(f18(x10681,x10684,x10683),f18(x10682,x10685,x10683),f27(x10683)))
% 5.03/5.14 [1108]~P71(x11083)+E(f12(f11(x11081,x11082,x11083),f12(f11(x11084,x11082,x11083),x11085,x11083),x11083),f12(f11(f12(x11081,x11084,x11083),x11082,x11083),x11085,x11083))
% 5.03/5.14 [1130]~P2(x11303)+P9(f16(f9(f12(x11301,x11302,x11303),f12(x11304,x11305,x11303),x11303),x11303),f12(f16(f9(x11301,x11304,x11303),x11303),f16(f9(x11302,x11305,x11303),x11303),a1),a1)
% 5.03/5.14 [1131]~P3(x11313)+P9(f8(f9(f12(x11311,x11312,x11313),f12(x11314,x11315,x11313),x11313),x11313),f12(f8(f9(x11311,x11314,x11313),x11313),f8(f9(x11312,x11315,x11313),x11313),x11313),x11313)
% 5.03/5.14 [1132]~P41(x11323)+E(f12(f12(f11(f9(x11321,x11322,x11323),f9(x11324,x11325,x11323),x11323),f11(f9(x11321,x11322,x11323),x11325,x11323),x11323),f11(x11322,f9(x11324,x11325,x11323),x11323),x11323),f9(f11(x11321,x11324,x11323),f11(x11322,x11325,x11323),x11323))
% 5.03/5.14 [1120]~P65(x11203)+E(f12(f11(x11201,x11202,x11203),f12(f11(f9(x11204,x11201,x11203),x11202,x11203),x11205,x11203),x11203),f12(f11(x11204,x11202,x11203),x11205,x11203))
% 5.03/5.14 [405]~P7(x4051)+~P8(x4051)+P8(f27(x4051))
% 5.03/5.14 [416]~P72(x4161)+~P43(x4161)+E(f26(f3(x4161),x4161),f4(x4161))
% 5.03/5.14 [522]E(x5221,f4(a1))+~E(f11(x5221,x5221,a1),f4(a1))+E(x5221,f10(f4(a1),a1))
% 5.03/5.14 [679]~P33(x6791)+~P9(f3(x6791),f3(x6791),x6791)+E(f12(f3(x6791),f3(x6791),x6791),f3(x6791))
% 5.03/5.14 [568]E(x5681,x5682)+P10(x5681,x5682,a1)+~P9(x5681,x5682,a1)
% 5.03/5.14 [648]E(x6481,x6482)+~P9(x6482,x6481,a1)+~P9(x6481,x6482,a1)
% 5.03/5.14 [407]E(x4071,x4072)+~E(f6(x4071),f6(x4072))+~E(f7(x4071),f7(x4072))
% 5.03/5.14 [415]~P31(x4152)+~E(f10(x4151,x4152),x4151)+E(x4151,f3(x4152))
% 5.03/5.14 [417]~P2(x4172)+E(x4171,f3(x4172))+~E(f16(x4171,x4172),f3(a1))
% 5.03/5.14 [418]~P3(x4182)+~E(f8(x4181,x4182),f3(x4182))+E(x4181,f3(x4182))
% 5.03/5.14 [419]~P5(x4192)+~E(f10(x4191,x4192),f3(x4192))+E(x4191,f3(x4192))
% 5.03/5.14 [420]~P5(x4201)+~E(f10(x4202,x4201),f3(x4201))+E(f3(x4201),x4202)
% 5.03/5.14 [422]~P72(x4222)+~P43(x4222)+~E(f26(x4221,x4222),f3(x4222))
% 5.03/5.14 [476]~P56(x4762)+~P13(x4762)+E(f9(x4761,x4761,x4762),f3(x4762))
% 5.03/5.14 [479]~P7(x4792)+~P8(x4792)+P11(x4791,x4791,f27(x4792))
% 5.03/5.14 [485]~P46(x4852)+P10(x4851,f3(x4852),x4852)+E(f8(x4851,x4852),x4851)
% 5.03/5.14 [507]~P2(x5072)+E(x5071,f3(x5072))+P10(f3(a1),f16(x5071,x5072),a1)
% 5.03/5.14 [510]~P3(x5102)+P10(f3(x5102),f8(x5101,x5102),x5102)+E(x5101,f3(x5102))
% 5.03/5.14 [517]~P26(x5172)+~E(f12(x5171,x5171,x5172),f3(x5172))+E(x5171,f3(x5172))
% 5.03/5.14 [551]~P3(x5512)+~P10(f3(x5512),x5511,x5512)+E(f8(x5511,x5512),x5511)
% 5.03/5.14 [552]~P3(x5522)+~P9(f3(x5522),x5521,x5522)+E(f8(x5521,x5522),x5521)
% 5.03/5.14 [562]~P3(x5622)+~P10(x5621,f3(x5622),x5622)+E(f8(x5621,x5622),f10(x5621,x5622))
% 5.03/5.14 [563]~P3(x5632)+~P9(x5631,f3(x5632),x5632)+E(f8(x5631,x5632),f10(x5631,x5632))
% 5.03/5.14 [564]~P46(x5642)+~P10(x5641,f3(x5642),x5642)+E(f8(x5641,x5642),f10(x5641,x5642))
% 5.03/5.14 [569]~P2(x5692)+E(x5691,f3(x5692))+~P9(f16(x5691,x5692),f3(a1),a1)
% 5.03/5.14 [587]~P3(x5872)+~P9(f8(x5871,x5872),f3(x5872),x5872)+E(x5871,f3(x5872))
% 5.03/5.14 [680]~P51(x6802)+~P10(x6801,f3(x6802),x6802)+P10(x6801,f10(x6801,x6802),x6802)
% 5.03/5.14 [681]~P26(x6812)+~P9(x6811,f3(x6812),x6812)+P9(x6811,f10(x6811,x6812),x6812)
% 5.03/5.14 [682]~P31(x6822)+~P9(x6821,f3(x6822),x6822)+P9(x6821,f10(x6821,x6822),x6822)
% 5.03/5.14 [683]~P26(x6832)+~P9(f3(x6832),x6831,x6832)+P9(f10(x6831,x6832),x6831,x6832)
% 5.03/5.14 [684]~P31(x6842)+~P9(f3(x6842),x6841,x6842)+P9(f10(x6841,x6842),x6841,x6842)
% 5.03/5.14 [690]~P27(x6901)+~P10(x6902,f3(x6901),x6901)+P10(f3(x6901),f10(x6902,x6901),x6901)
% 5.03/5.14 [691]~P27(x6911)+~P9(x6912,f3(x6911),x6911)+P9(f3(x6911),f10(x6912,x6911),x6911)
% 5.03/5.14 [692]~P27(x6922)+~P10(f3(x6922),x6921,x6922)+P10(f10(x6921,x6922),f3(x6922),x6922)
% 5.03/5.14 [693]~P27(x6932)+~P9(f3(x6932),x6931,x6932)+P9(f10(x6931,x6932),f3(x6932),x6932)
% 5.03/5.14 [694]~P51(x6942)+~P10(x6941,f10(x6941,x6942),x6942)+P10(x6941,f3(x6942),x6942)
% 5.03/5.14 [695]~P26(x6952)+~P9(x6951,f10(x6951,x6952),x6952)+P9(x6951,f3(x6952),x6952)
% 5.03/5.14 [696]~P31(x6962)+~P9(x6961,f10(x6961,x6962),x6962)+P9(x6961,f3(x6962),x6962)
% 5.03/5.14 [697]~P26(x6971)+~P9(f10(x6972,x6971),x6972,x6971)+P9(f3(x6971),x6972,x6971)
% 5.03/5.14 [698]~P31(x6981)+~P9(f10(x6982,x6981),x6982,x6981)+P9(f3(x6981),x6982,x6981)
% 5.03/5.14 [707]~P27(x7072)+~P10(f3(x7072),f10(x7071,x7072),x7072)+P10(x7071,f3(x7072),x7072)
% 5.03/5.14 [708]~P27(x7082)+~P9(f3(x7082),f10(x7081,x7082),x7082)+P9(x7081,f3(x7082),x7082)
% 5.03/5.14 [709]~P27(x7091)+~P10(f10(x7092,x7091),f3(x7091),x7091)+P10(f3(x7091),x7092,x7091)
% 5.03/5.14 [710]~P27(x7101)+~P9(f10(x7102,x7101),f3(x7101),x7101)+P9(f3(x7101),x7102,x7101)
% 5.03/5.14 [786]~P26(x7861)+~P10(f3(x7861),x7862,x7861)+P10(f3(x7861),f12(x7862,x7862,x7861),x7861)
% 5.03/5.14 [788]~P26(x7881)+~P9(f3(x7881),x7882,x7881)+P9(f3(x7881),f12(x7882,x7882,x7881),x7881)
% 5.03/5.14 [792]~P51(x7922)+~P10(x7921,f3(x7922),x7922)+P10(f12(x7921,x7921,x7922),f3(x7922),x7922)
% 5.03/5.14 [793]~P26(x7932)+~P10(x7931,f3(x7932),x7932)+P10(f12(x7931,x7931,x7932),f3(x7932),x7932)
% 5.03/5.14 [794]~P26(x7942)+~P9(x7941,f3(x7942),x7942)+P9(f12(x7941,x7941,x7942),f3(x7942),x7942)
% 5.03/5.14 [804]~P9(x8041,x8042,a1)+~P9(f10(x8042,a1),x8041,a1)+P9(f8(x8041,a1),x8042,a1)
% 5.03/5.14 [869]~P51(x8692)+~P10(f12(x8691,x8691,x8692),f3(x8692),x8692)+P10(x8691,f3(x8692),x8692)
% 5.03/5.14 [871]~P26(x8712)+~P10(f12(x8711,x8711,x8712),f3(x8712),x8712)+P10(x8711,f3(x8712),x8712)
% 5.03/5.14 [872]~P26(x8722)+~P9(f12(x8721,x8721,x8722),f3(x8722),x8722)+P9(x8721,f3(x8722),x8722)
% 5.03/5.14 [873]~P26(x8731)+~P10(f3(x8731),f12(x8732,x8732,x8731),x8731)+P10(f3(x8731),x8732,x8731)
% 5.03/5.14 [874]~P26(x8741)+~P9(f3(x8741),f12(x8742,x8742,x8741),x8741)+P9(f3(x8741),x8742,x8741)
% 5.03/5.14 [876]~P10(f3(a1),x8762,a1)+~P10(f3(a1),x8761,a1)+P10(f3(a1),f11(x8761,x8762,a1),a1)
% 5.03/5.14 [480]~P56(x4802)+~P13(x4802)+E(f12(x4801,f3(x4802),x4802),x4801)
% 5.03/5.14 [577]~P26(x5772)+E(x5771,f3(x5772))+~E(f14(x5771,f10(x5771,x5772),x5772),f3(x5772))
% 5.03/5.14 [781]~P51(x7812)+~P10(f3(x7812),x7811,x7812)+P12(f18(x7811,f3(f27(x7812)),x7812),x7812)
% 5.03/5.14 [508]~P11(x5081,x5082,x5083)+E(x5081,x5082)+~P8(x5083)
% 5.03/5.14 [548]P9(x5482,x5481,x5483)+~P32(x5483)+P10(x5481,x5482,x5483)
% 5.03/5.14 [550]P9(x5502,x5501,x5503)+~P32(x5503)+P9(x5501,x5502,x5503)
% 5.03/5.14 [579]~P39(x5793)+~P10(x5791,x5792,x5793)+P9(x5791,x5792,x5793)
% 5.03/5.14 [580]~P40(x5803)+~P10(x5801,x5802,x5803)+P9(x5801,x5802,x5803)
% 5.03/5.14 [653]~P10(x6533,x6532,x6531)+~P32(x6531)+~P10(x6532,x6533,x6531)
% 5.03/5.14 [655]~P9(x6553,x6552,x6551)+~P32(x6551)+~P10(x6552,x6553,x6551)
% 5.03/5.14 [657]~P10(x6573,x6572,x6571)+~P39(x6571)+~P10(x6572,x6573,x6571)
% 5.03/5.14 [659]~P10(x6593,x6592,x6591)+~P40(x6591)+~P10(x6592,x6593,x6591)
% 5.03/5.14 [660]~P9(x6603,x6602,x6601)+~P40(x6601)+~P10(x6602,x6603,x6601)
% 5.03/5.14 [731]~P9(x7311,x7313,a1)+P9(x7311,x7312,a1)+~P9(x7313,x7312,a1)
% 5.03/5.14 [428]~P5(x4283)+E(x4281,x4282)+~E(f10(x4281,x4283),f10(x4282,x4283))
% 5.03/5.14 [429]~P15(x4293)+E(x4291,x4292)+~E(f10(x4291,x4293),f10(x4292,x4293))
% 5.03/5.14 [514]~P5(x5143)+E(x5141,x5142)+~E(f9(x5141,x5142,x5143),f3(x5143))
% 5.03/5.14 [515]~P18(x5153)+E(x5151,x5152)+~E(f9(x5151,x5152,x5153),f3(x5153))
% 5.03/5.14 [518]~P68(x5182)+~E(f17(x5181,x5183,x5182),f3(x5182))+E(x5181,f3(x5182))
% 5.03/5.14 [535]~P5(x5353)+~E(f12(x5351,x5352,x5353),f3(x5353))+E(x5351,f10(x5352,x5353))
% 5.03/5.14 [536]~P5(x5362)+~E(f12(x5361,x5363,x5362),f3(x5362))+E(f10(x5361,x5362),x5363)
% 5.03/5.14 [581]~P32(x5813)+~P9(x5812,x5811,x5813)+E(f19(x5811,x5812,x5813),x5812)
% 5.03/5.14 [582]~P32(x5823)+~P9(x5821,x5822,x5823)+E(f19(x5821,x5822,x5823),x5821)
% 5.03/5.14 [583]~P32(x5833)+~P9(x5831,x5832,x5833)+E(f20(x5831,x5832,x5833),x5832)
% 5.03/5.14 [584]~P32(x5843)+~P9(x5842,x5841,x5843)+E(f20(x5841,x5842,x5843),x5841)
% 5.03/5.14 [585]~P6(x5853)+~P9(x5852,x5851,x5853)+E(f14(x5851,x5852,x5853),x5852)
% 5.03/5.14 [586]~P6(x5863)+~P9(x5861,x5862,x5863)+E(f14(x5861,x5862,x5863),x5861)
% 5.03/5.14 [592]~P32(x5923)+P9(x5921,x5922,x5923)+~E(f19(x5921,x5922,x5923),x5921)
% 5.03/5.14 [593]~P32(x5933)+P9(x5931,x5932,x5933)+~E(f20(x5931,x5932,x5933),x5932)
% 5.03/5.14 [594]~P6(x5943)+P9(x5941,x5942,x5943)+~E(f14(x5941,x5942,x5943),x5941)
% 5.03/5.14 [614]~P51(x6143)+~P12(x6142,x6143)+P12(f18(x6141,x6142,x6143),x6143)
% 5.03/5.14 [649]E(x6491,x6492)+~E(f11(x6493,x6491,a1),f11(x6493,x6492,a1))+E(x6493,f3(a1))
% 5.03/5.14 [650]E(x6501,x6502)+~E(f11(x6501,x6503,a1),f11(x6502,x6503,a1))+E(x6503,f3(a1))
% 5.03/5.14 [687]~P51(x6873)+P10(x6871,x6872,x6873)+~P10(f8(x6871,x6873),x6872,x6873)
% 5.03/5.14 [688]~P3(x6883)+P9(x6881,x6882,x6883)+~P9(f8(x6881,x6883),x6882,x6883)
% 5.03/5.14 [704]~P27(x7042)+~P10(x7043,x7041,x7042)+P10(f10(x7041,x7042),f10(x7043,x7042),x7042)
% 5.03/5.14 [705]~P27(x7052)+~P9(x7053,x7051,x7052)+P9(f10(x7051,x7052),f10(x7053,x7052),x7052)
% 5.03/5.14 [722]~P27(x7223)+~P10(x7222,f10(x7221,x7223),x7223)+P10(x7221,f10(x7222,x7223),x7223)
% 5.03/5.14 [724]~P27(x7243)+~P9(x7242,f10(x7241,x7243),x7243)+P9(x7241,f10(x7242,x7243),x7243)
% 5.03/5.14 [725]~P51(x7252)+~P10(f8(x7251,x7252),x7253,x7252)+P10(f10(x7251,x7252),x7253,x7252)
% 5.03/5.14 [727]~P27(x7272)+~P10(f10(x7273,x7272),x7271,x7272)+P10(f10(x7271,x7272),x7273,x7272)
% 5.03/5.14 [728]~P3(x7282)+~P9(f8(x7281,x7282),x7283,x7282)+P9(f10(x7281,x7282),x7283,x7282)
% 5.03/5.14 [730]~P27(x7302)+~P9(f10(x7303,x7302),x7301,x7302)+P9(f10(x7301,x7302),x7303,x7302)
% 5.03/5.14 [740]~P27(x7403)+P10(x7401,x7402,x7403)+~P10(f10(x7402,x7403),f10(x7401,x7403),x7403)
% 5.03/5.14 [741]~P27(x7413)+P9(x7411,x7412,x7413)+~P9(f10(x7412,x7413),f10(x7411,x7413),x7413)
% 5.03/5.14 [782]~P27(x7823)+~P10(x7821,x7822,x7823)+P10(f9(x7821,x7822,x7823),f3(x7823),x7823)
% 5.03/5.14 [783]~P27(x7833)+~P9(x7831,x7832,x7833)+P9(f9(x7831,x7832,x7833),f3(x7833),x7833)
% 5.03/5.14 [787]~P50(x7871)+~P10(f3(x7871),x7872,x7871)+P10(f3(x7871),f17(x7872,x7873,x7871),x7871)
% 5.03/5.14 [789]~P50(x7891)+~P9(f3(x7891),x7892,x7891)+P9(f3(x7891),f17(x7892,x7893,x7891),x7891)
% 5.03/5.14 [790]~P51(x7901)+~P9(f3(x7901),x7902,x7901)+P9(f3(x7901),f17(x7902,x7903,x7901),x7901)
% 5.03/5.14 [791]~P50(x7911)+~P9(f4(x7911),x7912,x7911)+P9(f4(x7911),f17(x7912,x7913,x7911),x7911)
% 5.03/5.14 [812]~P26(x8123)+~P9(x8121,f10(x8122,x8123),x8123)+P9(f12(x8121,x8122,x8123),f3(x8123),x8123)
% 5.03/5.14 [835]~P27(x8353)+P10(x8351,x8352,x8353)+~P10(f9(x8351,x8352,x8353),f3(x8353),x8353)
% 5.03/5.14 [836]~P27(x8363)+P9(x8361,x8362,x8363)+~P9(f9(x8361,x8362,x8363),f3(x8363),x8363)
% 5.03/5.14 [870]~P51(x8702)+~P10(f17(x8701,x8703,x8702),f3(x8702),x8702)+P10(x8701,f3(x8702),x8702)
% 5.03/5.14 [893]~P26(x8933)+~P9(f12(x8931,x8932,x8933),f3(x8933),x8933)+P9(x8931,f10(x8932,x8933),x8933)
% 5.03/5.14 [965]~P10(x9651,x9653,a1)+P10(f11(x9651,x9652,a1),f11(x9653,x9652,a1),a1)+~P10(f3(a1),x9652,a1)
% 5.03/5.14 [966]~P10(x9662,x9663,a1)+P10(f11(x9661,x9662,a1),f11(x9661,x9663,a1),a1)+~P10(f3(a1),x9661,a1)
% 5.03/5.14 [967]~P9(x9671,x9673,a1)+P9(f11(x9671,x9672,a1),f11(x9673,x9672,a1),a1)+~P10(f3(a1),x9672,a1)
% 5.03/5.14 [968]~P9(x9682,x9683,a1)+P9(f11(x9681,x9682,a1),f11(x9681,x9683,a1),a1)+~P10(f3(a1),x9681,a1)
% 5.03/5.14 [1065]P10(x10651,x10652,a1)+~P10(f11(x10651,x10653,a1),f11(x10652,x10653,a1),a1)+~P10(f3(a1),x10653,a1)
% 5.03/5.14 [1066]P9(x10661,x10662,a1)+~P9(f11(x10663,x10661,a1),f11(x10663,x10662,a1),a1)+~P10(f3(a1),x10663,a1)
% 5.03/5.14 [1067]P9(x10671,x10672,a1)+~P9(f11(x10671,x10673,a1),f11(x10672,x10673,a1),a1)+~P10(f3(a1),x10673,a1)
% 5.03/5.14 [534]~P7(x5342)+E(x5341,f3(x5342))+~E(f18(x5341,x5343,x5342),f3(f27(x5342)))
% 5.03/5.14 [558]~P7(x5582)+~E(f18(x5583,x5581,x5582),f3(f27(x5582)))+E(x5581,f3(f27(x5582)))
% 5.03/5.14 [756]~P72(x7562)+~P43(x7562)+E(f11(f26(x7561,x7562),f26(x7563,x7562),x7562),f26(f12(x7561,x7563,x7562),x7562))
% 5.03/5.14 [813]~P51(x8132)+~P9(f3(x8132),x8133,x8132)+E(f11(f8(x8131,x8132),x8133,x8132),f8(f11(x8131,x8133,x8132),x8132))
% 5.03/5.14 [997]~P59(x9972)+E(x9971,f3(x9972))+~E(f12(f11(x9973,x9973,x9972),f11(x9971,x9971,x9972),x9972),f3(x9972))
% 5.03/5.14 [998]~P59(x9982)+E(x9981,f3(x9982))+~E(f12(f11(x9981,x9981,x9982),f11(x9983,x9983,x9982),x9982),f3(x9982))
% 5.03/5.14 [1000]E(x10001,f3(a1))+~P9(x10002,f3(a1),a1)+~P9(f8(x10001,a1),f11(x10002,f8(x10003,a1),a1),a1)
% 5.03/5.14 [1037]~P50(x10371)+~P10(f4(x10371),x10372,x10371)+P10(f4(x10371),f11(x10372,f17(x10372,x10373,x10371),x10371),x10371)
% 5.03/5.14 [1082]~P50(x10823)+~P10(f4(x10823),x10821,x10823)+P10(f17(x10821,x10822,x10823),f11(x10821,f17(x10821,x10822,x10823),x10823),x10823)
% 5.03/5.14 [1084]~P59(x10842)+E(x10841,f3(x10842))+P10(f3(x10842),f12(f11(x10843,x10843,x10842),f11(x10841,x10841,x10842),x10842),x10842)
% 5.03/5.14 [1085]~P59(x10852)+E(x10851,f3(x10852))+P10(f3(x10852),f12(f11(x10851,x10851,x10852),f11(x10853,x10853,x10852),x10852),x10852)
% 5.03/5.14 [1115]~P59(x11152)+E(x11151,f3(x11152))+~P9(f12(f11(x11153,x11153,x11152),f11(x11151,x11151,x11152),x11152),f3(x11152),x11152)
% 5.03/5.14 [1116]~P59(x11162)+E(x11161,f3(x11162))+~P9(f12(f11(x11161,x11161,x11162),f11(x11163,x11163,x11162),x11162),f3(x11162),x11162)
% 5.03/5.14 [1117]~P9(f37(x11172,a33,x11171),f16(x11173,a2),a1)+P9(x11171,f16(f22(f18(x11172,a33,a2),x11173,a2),a2),a1)+E(f3(f27(a2)),a33)
% 5.03/5.14 [1118]~P9(f38(x11182,a33,x11181),f16(x11183,a2),a1)+P9(x11181,f16(f22(f18(x11182,a33,a2),x11183,a2),a2),a1)+E(f3(f27(a2)),a33)
% 5.03/5.14 [662]~P23(x6624)+E(x6621,x6622)+~E(f12(x6623,x6621,x6624),f12(x6623,x6622,x6624))
% 5.03/5.14 [663]~P24(x6634)+E(x6631,x6632)+~E(f12(x6633,x6631,x6634),f12(x6633,x6632,x6634))
% 5.03/5.14 [664]~P18(x6644)+E(x6641,x6642)+~E(f9(x6643,x6643,x6644),f9(x6641,x6642,x6644))
% 5.03/5.14 [665]~P24(x6654)+E(x6651,x6652)+~E(f12(x6651,x6653,x6654),f12(x6652,x6653,x6654))
% 5.03/5.14 [667]~P18(x6673)+E(x6671,x6672)+~E(f9(x6671,x6672,x6673),f9(x6674,x6674,x6673))
% 5.03/5.14 [762]~P32(x7624)+~P10(x7621,x7623,x7624)+P10(x7621,f20(x7622,x7623,x7624),x7624)
% 5.03/5.14 [764]~P32(x7644)+~P10(x7641,x7642,x7644)+P10(x7641,f20(x7642,x7643,x7644),x7644)
% 5.03/5.14 [766]~P32(x7664)+~P9(x7661,x7663,x7664)+P9(x7661,f20(x7662,x7663,x7664),x7664)
% 5.03/5.14 [768]~P32(x7684)+~P9(x7681,x7682,x7684)+P9(x7681,f20(x7682,x7683,x7684),x7684)
% 5.03/5.14 [770]~P32(x7703)+~P10(x7702,x7704,x7703)+P10(f19(x7701,x7702,x7703),x7704,x7703)
% 5.03/5.14 [772]~P32(x7723)+~P10(x7721,x7724,x7723)+P10(f19(x7721,x7722,x7723),x7724,x7723)
% 5.03/5.14 [773]~P6(x7733)+~P10(x7732,x7734,x7733)+P10(f14(x7731,x7732,x7733),x7734,x7733)
% 5.03/5.14 [774]~P6(x7743)+~P10(x7741,x7744,x7743)+P10(f14(x7741,x7742,x7743),x7744,x7743)
% 5.03/5.14 [776]~P32(x7763)+~P9(x7762,x7764,x7763)+P9(f19(x7761,x7762,x7763),x7764,x7763)
% 5.03/5.14 [778]~P32(x7783)+~P9(x7781,x7784,x7783)+P9(f19(x7781,x7782,x7783),x7784,x7783)
% 5.03/5.14 [779]~P6(x7793)+~P9(x7792,x7794,x7793)+P9(f14(x7791,x7792,x7793),x7794,x7793)
% 5.03/5.14 [780]~P6(x7803)+~P9(x7801,x7804,x7803)+P9(f14(x7801,x7802,x7803),x7804,x7803)
% 5.03/5.14 [815]~P32(x8153)+P10(x8151,x8152,x8153)+~P10(x8151,f19(x8154,x8152,x8153),x8153)
% 5.03/5.14 [816]~P32(x8163)+P10(x8161,x8162,x8163)+~P10(x8161,f19(x8162,x8164,x8163),x8163)
% 5.03/5.14 [818]~P32(x8183)+P9(x8181,x8182,x8183)+~P9(x8181,f19(x8184,x8182,x8183),x8183)
% 5.03/5.14 [820]~P32(x8203)+P9(x8201,x8202,x8203)+~P9(x8201,f19(x8202,x8204,x8203),x8203)
% 5.03/5.14 [822]~P6(x8223)+P9(x8221,x8222,x8223)+~P9(x8221,f14(x8224,x8222,x8223),x8223)
% 5.03/5.14 [824]~P6(x8243)+P9(x8241,x8242,x8243)+~P9(x8241,f14(x8242,x8244,x8243),x8243)
% 5.03/5.14 [825]~P32(x8253)+P10(x8251,x8252,x8253)+~P10(f20(x8254,x8251,x8253),x8252,x8253)
% 5.03/5.14 [826]~P32(x8263)+P10(x8261,x8262,x8263)+~P10(f20(x8261,x8264,x8263),x8262,x8263)
% 5.03/5.14 [828]~P32(x8283)+P9(x8281,x8282,x8283)+~P9(f20(x8284,x8281,x8283),x8282,x8283)
% 5.03/5.14 [830]~P32(x8303)+P9(x8301,x8302,x8303)+~P9(f20(x8301,x8304,x8303),x8302,x8303)
% 5.03/5.14 [898]~P34(x8983)+~P10(x8981,x8984,x8983)+P10(f12(x8981,x8982,x8983),f12(x8984,x8982,x8983),x8983)
% 5.03/5.14 [899]~P36(x8993)+~P10(x8991,x8994,x8993)+P10(f12(x8991,x8992,x8993),f12(x8994,x8992,x8993),x8993)
% 5.03/5.14 [900]~P34(x9003)+~P10(x9002,x9004,x9003)+P10(f12(x9001,x9002,x9003),f12(x9001,x9004,x9003),x9003)
% 5.03/5.14 [901]~P36(x9013)+~P10(x9012,x9014,x9013)+P10(f12(x9011,x9012,x9013),f12(x9011,x9014,x9013),x9013)
% 5.03/5.14 [902]~P34(x9023)+~P9(x9021,x9024,x9023)+P9(f12(x9021,x9022,x9023),f12(x9024,x9022,x9023),x9023)
% 5.03/5.14 [903]~P35(x9033)+~P9(x9031,x9034,x9033)+P9(f12(x9031,x9032,x9033),f12(x9034,x9032,x9033),x9033)
% 5.03/5.14 [904]~P34(x9043)+~P9(x9042,x9044,x9043)+P9(f12(x9041,x9042,x9043),f12(x9041,x9044,x9043),x9043)
% 5.03/5.14 [905]~P35(x9053)+~P9(x9052,x9054,x9053)+P9(f12(x9051,x9052,x9053),f12(x9051,x9054,x9053),x9053)
% 5.03/5.14 [1033]~P34(x10333)+P10(x10331,x10332,x10333)+~P10(f12(x10334,x10331,x10333),f12(x10334,x10332,x10333),x10333)
% 5.03/5.14 [1034]~P34(x10343)+P10(x10341,x10342,x10343)+~P10(f12(x10341,x10344,x10343),f12(x10342,x10344,x10343),x10343)
% 5.03/5.14 [1035]~P34(x10353)+P9(x10351,x10352,x10353)+~P9(f12(x10354,x10351,x10353),f12(x10354,x10352,x10353),x10353)
% 5.03/5.14 [1036]~P34(x10363)+P9(x10361,x10362,x10363)+~P9(f12(x10361,x10364,x10363),f12(x10362,x10364,x10363),x10363)
% 5.03/5.14 [689]~P45(x6892)+~E(f24(x6893,x6891,x6892),f18(x6894,x6891,x6892))+E(x6891,f3(f27(x6892)))
% 5.03/5.14 [799]~P18(x7993)+E(x7991,f10(x7992,x7993))+~E(f12(x7991,f12(x7994,x7992,x7993),x7993),x7994)
% 5.03/5.14 [1029]~P45(x10292)+~E(f12(f24(x10293,x10291,x10292),f18(x10294,x10291,x10292),f27(x10292)),f3(f27(x10292)))+E(x10291,f3(f27(x10292)))
% 5.03/5.14 [1032]~P4(x10324)+~P9(f12(x10321,x10323,x10324),x10322,x10324)+P9(x10321,f12(x10322,f8(x10323,x10324),x10324),x10324)
% 5.03/5.14 [1062]~P56(x10623)+~P13(x10623)+E(f12(f11(x10621,x10622,x10623),f11(x10621,x10624,x10623),x10623),f12(f11(x10621,x10624,x10623),f11(x10621,x10622,x10623),x10623))
% 5.03/5.14 [1086]~P51(x10864)+P10(x10861,f12(x10862,x10863,x10864),x10864)+~P10(f8(f9(x10861,x10862,x10864),x10864),x10863,x10864)
% 5.03/5.14 [1087]~P51(x10873)+P10(f9(x10871,x10872,x10873),x10874,x10873)+~P10(f8(f9(x10874,x10871,x10873),x10873),x10872,x10873)
% 5.03/5.14 [661]~P7(x6614)+E(x6611,x6612)+~E(f18(x6613,x6611,x6614),f18(x6615,x6612,x6614))
% 5.03/5.14 [666]~P7(x6664)+E(x6661,x6662)+~E(f18(x6661,x6663,x6664),f18(x6662,x6665,x6664))
% 5.03/5.14 [950]~P18(x9503)+E(f12(x9501,x9502,x9503),x9504)+~E(f12(x9501,f12(x9505,x9502,x9503),x9503),f12(x9505,x9504,x9503))
% 5.03/5.14 [951]~P45(x9514)+E(x9511,f22(x9512,x9513,x9514))+~E(f12(x9512,f24(x9513,x9515,x9514),f27(x9514)),f18(x9511,x9515,x9514))
% 5.03/5.14 [952]~P45(x9524)+E(x9521,f25(x9522,x9523,x9524))+~E(f12(x9522,f24(x9523,x9521,x9524),f27(x9524)),f18(x9525,x9521,x9524))
% 5.03/5.14 [1109]~P65(x11094)+~E(f12(f11(x11093,x11095,x11094),x11091,x11094),f12(f11(x11092,x11095,x11094),x11096,x11094))+E(x11091,f12(f11(f9(x11092,x11093,x11094),x11095,x11094),x11096,x11094))
% 5.03/5.14 [1110]~P65(x11103)+~E(f12(f11(x11101,x11104,x11103),x11105,x11103),f12(f11(x11102,x11104,x11103),x11106,x11103))+E(f12(f11(f9(x11101,x11102,x11103),x11104,x11103),x11105,x11103),x11106)
% 5.03/5.14 [1122]~P63(x11224)+~P10(f12(f11(x11223,x11225,x11224),x11221,x11224),f12(f11(x11222,x11225,x11224),x11226,x11224),x11224)+P10(x11221,f12(f11(f9(x11222,x11223,x11224),x11225,x11224),x11226,x11224),x11224)
% 5.03/5.14 [1123]~P63(x11234)+~P9(f12(f11(x11233,x11235,x11234),x11231,x11234),f12(f11(x11232,x11235,x11234),x11236,x11234),x11234)+P9(x11231,f12(f11(f9(x11232,x11233,x11234),x11235,x11234),x11236,x11234),x11234)
% 5.03/5.14 [1124]~P63(x11243)+~P10(f12(f11(x11241,x11244,x11243),x11245,x11243),f12(f11(x11242,x11244,x11243),x11246,x11243),x11243)+P10(f12(f11(f9(x11241,x11242,x11243),x11244,x11243),x11245,x11243),x11246,x11243)
% 5.03/5.14 [1125]~P63(x11253)+~P9(f12(f11(x11251,x11254,x11253),x11255,x11253),f12(f11(x11252,x11254,x11253),x11256,x11253),x11253)+P9(f12(f11(f9(x11251,x11252,x11253),x11254,x11253),x11255,x11253),x11256,x11253)
% 5.03/5.14 [1126]~P63(x11263)+P10(f12(f11(x11261,x11262,x11263),x11264,x11263),f12(f11(x11265,x11262,x11263),x11266,x11263),x11263)+~P10(x11264,f12(f11(f9(x11265,x11261,x11263),x11262,x11263),x11266,x11263),x11263)
% 5.03/5.14 [1127]~P63(x11273)+P9(f12(f11(x11271,x11272,x11273),x11274,x11273),f12(f11(x11275,x11272,x11273),x11276,x11273),x11273)+~P9(x11274,f12(f11(f9(x11275,x11271,x11273),x11272,x11273),x11276,x11273),x11273)
% 5.03/5.14 [1128]~P63(x11283)+P10(f12(f11(x11281,x11282,x11283),x11284,x11283),f12(f11(x11285,x11282,x11283),x11286,x11283),x11283)+~P10(f12(f11(f9(x11281,x11285,x11283),x11282,x11283),x11284,x11283),x11286,x11283)
% 5.03/5.14 [1129]~P63(x11293)+P9(f12(f11(x11291,x11292,x11293),x11294,x11293),f12(f11(x11295,x11292,x11293),x11296,x11293),x11293)+~P9(f12(f11(f9(x11291,x11295,x11293),x11292,x11293),x11294,x11293),x11296,x11293)
% 5.03/5.14 [496]~P32(x4962)+~P4(x4962)+P10(x4961,f3(x4962),x4962)+E(f8(x4961,x4962),x4961)
% 5.03/5.14 [567]~P32(x5672)+~P4(x5672)+~P10(x5671,f3(x5672),x5672)+E(f8(x5671,x5672),f10(x5671,x5672))
% 5.03/5.14 [556]P10(x5561,x5562,x5563)+~P32(x5563)+E(x5561,x5562)+P10(x5562,x5561,x5563)
% 5.03/5.14 [557]P10(x5571,x5572,x5573)+~P51(x5573)+E(x5571,x5572)+P10(x5572,x5571,x5573)
% 5.03/5.14 [596]~P32(x5963)+~P9(x5961,x5962,x5963)+E(x5961,x5962)+P10(x5961,x5962,x5963)
% 5.03/5.14 [602]~P39(x6023)+~P9(x6021,x6022,x6023)+E(x6021,x6022)+P10(x6021,x6022,x6023)
% 5.03/5.14 [675]~P9(x6752,x6751,x6753)+~P9(x6751,x6752,x6753)+E(x6751,x6752)+~P39(x6753)
% 5.03/5.14 [706]P9(x7062,x7061,x7063)+~P40(x7063)+~P9(x7061,x7062,x7063)+P10(x7061,x7062,x7063)
% 5.03/5.14 [521]~P56(x5212)+~P13(x5212)+~E(f12(x5213,x5211,x5212),x5213)+E(x5211,f3(x5212))
% 5.03/5.14 [523]~P56(x5233)+~P13(x5233)+E(x5231,x5232)+~E(f9(x5231,x5232,x5233),f3(x5233))
% 5.03/5.14 [525]~P52(x5252)+~E(f11(x5253,x5251,x5252),f3(x5252))+E(x5251,f3(x5252))+E(x5253,f3(x5252))
% 5.03/5.14 [526]~P70(x5262)+~E(f11(x5263,x5261,x5262),f3(x5262))+E(x5261,f3(x5262))+E(x5263,f3(x5262))
% 5.03/5.14 [528]~P8(x5283)+E(x5281,x5282)+~P7(x5283)+~P11(x5281,x5282,f27(x5283))
% 5.03/5.14 [702]~P56(x7023)+E(x7021,x7022)+~E(f11(x7021,x7021,x7023),f11(x7022,x7022,x7023))+E(x7021,f10(x7022,x7023))
% 5.03/5.14 [796]~P51(x7962)+P12(x7961,x7962)+P10(f3(x7962),x7963,x7962)+~P12(f18(x7963,x7961,x7962),x7962)
% 5.03/5.14 [809]~P51(x8092)+~P10(x8091,x8093,x8092)+~P10(f10(x8091,x8092),x8093,x8092)+P10(f8(x8091,x8092),x8093,x8092)
% 5.03/5.14 [811]~P3(x8112)+~P9(x8111,x8113,x8112)+~P9(f10(x8111,x8112),x8113,x8112)+P9(f8(x8111,x8112),x8113,x8112)
% 5.03/5.14 [875]~P51(x8752)+~P9(f17(x8751,x8753,x8752),f3(x8752),x8752)+P9(x8751,f3(x8752),x8752)+E(x8751,f3(x8752))
% 5.03/5.14 [906]~P59(x9061)+~P10(x9063,f3(x9061),x9061)+~P10(x9062,f3(x9061),x9061)+P10(f3(x9061),f11(x9062,x9063,x9061),x9061)
% 5.03/5.14 [907]~P59(x9071)+~P9(x9073,f3(x9071),x9071)+~P9(x9072,f3(x9071),x9071)+P9(f3(x9071),f11(x9072,x9073,x9071),x9071)
% 5.03/5.14 [909]~P63(x9091)+~P9(x9093,f3(x9091),x9091)+~P9(x9092,f3(x9091),x9091)+P9(f3(x9091),f11(x9092,x9093,x9091),x9091)
% 5.03/5.14 [910]~P61(x9101)+~P10(f3(x9101),x9103,x9101)+~P10(f3(x9101),x9102,x9101)+P10(f3(x9101),f11(x9102,x9103,x9101),x9101)
% 5.03/5.14 [911]~P33(x9111)+~P10(f3(x9111),x9113,x9111)+~P10(f3(x9111),x9112,x9111)+P10(f3(x9111),f12(x9112,x9113,x9111),x9111)
% 5.03/5.14 [912]~P33(x9121)+~P10(f3(x9121),x9123,x9121)+~P9(f3(x9121),x9122,x9121)+P10(f3(x9121),f12(x9122,x9123,x9121),x9121)
% 5.03/5.14 [913]~P33(x9131)+~P10(f3(x9131),x9132,x9131)+~P9(f3(x9131),x9133,x9131)+P10(f3(x9131),f12(x9132,x9133,x9131),x9131)
% 5.03/5.14 [914]~P50(x9141)+~P10(f4(x9141),x9143,x9141)+~P10(f4(x9141),x9142,x9141)+P10(f4(x9141),f11(x9142,x9143,x9141),x9141)
% 5.03/5.14 [915]~P59(x9151)+~P9(f3(x9151),x9153,x9151)+~P9(f3(x9151),x9152,x9151)+P9(f3(x9151),f11(x9152,x9153,x9151),x9151)
% 5.03/5.14 [916]~P63(x9161)+~P9(f3(x9161),x9163,x9161)+~P9(f3(x9161),x9162,x9161)+P9(f3(x9161),f11(x9162,x9163,x9161),x9161)
% 5.03/5.14 [917]~P64(x9171)+~P9(f3(x9171),x9173,x9171)+~P9(f3(x9171),x9172,x9171)+P9(f3(x9171),f11(x9172,x9173,x9171),x9171)
% 5.03/5.14 [918]~P33(x9181)+~P9(f3(x9181),x9183,x9181)+~P9(f3(x9181),x9182,x9181)+P9(f3(x9181),f12(x9182,x9183,x9181),x9181)
% 5.03/5.14 [919]~P33(x9193)+~P10(x9192,f3(x9193),x9193)+~P10(x9191,f3(x9193),x9193)+P10(f12(x9191,x9192,x9193),f3(x9193),x9193)
% 5.03/5.14 [920]~P33(x9203)+~P10(x9202,f3(x9203),x9203)+~P9(x9201,f3(x9203),x9203)+P10(f12(x9201,x9202,x9203),f3(x9203),x9203)
% 5.03/5.14 [921]~P33(x9213)+~P10(x9211,f3(x9213),x9213)+~P9(x9212,f3(x9213),x9213)+P10(f12(x9211,x9212,x9213),f3(x9213),x9213)
% 5.03/5.14 [922]~P33(x9223)+~P9(x9222,f3(x9223),x9223)+~P9(x9221,f3(x9223),x9223)+P9(f12(x9221,x9222,x9223),f3(x9223),x9223)
% 5.03/5.14 [923]~P61(x9233)+~P10(x9232,f3(x9233),x9233)+~P10(f3(x9233),x9231,x9233)+P10(f11(x9231,x9232,x9233),f3(x9233),x9233)
% 5.03/5.14 [925]~P61(x9253)+~P10(x9251,f3(x9253),x9253)+~P10(f3(x9253),x9252,x9253)+P10(f11(x9251,x9252,x9253),f3(x9253),x9253)
% 5.03/5.14 [926]~P59(x9263)+~P9(x9262,f3(x9263),x9263)+~P9(f3(x9263),x9261,x9263)+P9(f11(x9261,x9262,x9263),f3(x9263),x9263)
% 5.03/5.14 [927]~P59(x9273)+~P9(x9271,f3(x9273),x9273)+~P9(f3(x9273),x9272,x9273)+P9(f11(x9271,x9272,x9273),f3(x9273),x9273)
% 5.03/5.14 [929]~P64(x9293)+~P9(x9292,f3(x9293),x9293)+~P9(f3(x9293),x9291,x9293)+P9(f11(x9291,x9292,x9293),f3(x9293),x9293)
% 5.03/5.14 [932]~P64(x9323)+~P9(x9321,f3(x9323),x9323)+~P9(f3(x9323),x9322,x9323)+P9(f11(x9321,x9322,x9323),f3(x9323),x9323)
% 5.03/5.14 [942]~P59(x9422)+~P9(f11(x9423,x9421,x9422),f3(x9422),x9422)+P9(x9421,f3(x9422),x9422)+P9(x9423,f3(x9422),x9422)
% 5.03/5.14 [943]~P59(x9432)+~P9(f3(x9432),f11(x9433,x9431,x9432),x9432)+P9(x9431,f3(x9432),x9432)+P9(f3(x9432),x9433,x9432)
% 5.03/5.14 [944]~P59(x9442)+~P9(f3(x9442),f11(x9441,x9443,x9442),x9442)+P9(x9441,f3(x9442),x9442)+P9(f3(x9442),x9443,x9442)
% 5.03/5.14 [945]~P59(x9452)+~P9(f3(x9452),f11(x9453,x9451,x9452),x9452)+P9(x9451,f3(x9452),x9452)+P9(f3(x9452),x9451,x9452)
% 5.03/5.14 [946]~P59(x9462)+~P9(f3(x9462),f11(x9461,x9463,x9462),x9462)+P9(x9461,f3(x9462),x9462)+P9(f3(x9462),x9461,x9462)
% 5.03/5.14 [947]~P59(x9472)+~P9(f11(x9473,x9471,x9472),f3(x9472),x9472)+P9(x9471,f3(x9472),x9472)+P9(f3(x9472),x9471,x9472)
% 5.03/5.14 [948]~P59(x9482)+~P9(f11(x9481,x9483,x9482),f3(x9482),x9482)+P9(x9481,f3(x9482),x9482)+P9(f3(x9482),x9481,x9482)
% 5.03/5.14 [949]~P59(x9491)+~P9(f11(x9492,x9493,x9491),f3(x9491),x9491)+P9(f3(x9491),x9492,x9491)+P9(f3(x9491),x9493,x9491)
% 5.03/5.14 [961]~P61(x9611)+~P10(f3(x9611),f11(x9613,x9612,x9611),x9611)+P10(f3(x9611),x9612,x9611)+~P10(f3(x9611),x9613,x9611)
% 5.03/5.14 [962]~P61(x9621)+~P10(f3(x9621),f11(x9622,x9623,x9621),x9621)+P10(f3(x9621),x9622,x9621)+~P10(f3(x9621),x9623,x9621)
% 5.03/5.14 [560]~P56(x5602)+E(x5601,f3(x5602))+~E(f24(x5601,x5603,x5602),f3(f27(x5602)))+E(x5603,f3(f27(x5602)))
% 5.03/5.14 [685]~P51(x6853)+~P12(x6852,x6853)+~P12(x6851,x6853)+P12(f12(x6851,x6852,f27(x6853)),x6853)
% 5.03/5.14 [738]P12(x7381,x7382)+~P51(x7382)+~P12(f18(x7383,x7381,x7382),x7382)+E(x7381,f3(f27(x7382)))
% 5.03/5.14 [933]~P7(x9332)+~P8(x9332)+P11(x9331,f3(x9332),x9332)+~P11(f18(x9331,x9333,x9332),f3(f27(x9332)),f27(x9332))
% 5.03/5.14 [934]~P7(x9341)+~P8(x9341)+P11(f3(x9341),x9342,x9341)+~P11(f3(f27(x9341)),f18(x9342,x9343,x9341),f27(x9341))
% 5.03/5.14 [940]~P7(x9402)+~P8(x9402)+~P11(f18(x9403,x9401,x9402),f3(f27(x9402)),f27(x9402))+P11(x9401,f3(f27(x9402)),f27(x9402))
% 5.03/5.14 [941]~P7(x9411)+~P8(x9411)+~P11(f3(f27(x9411)),f18(x9413,x9412,x9411),f27(x9411))+P11(f3(f27(x9411)),x9412,f27(x9411))
% 5.03/5.14 [957]~P60(x9572)+~P9(x9573,f3(x9572),x9572)+~P9(x9571,f3(x9572),x9572)+E(f11(f8(x9571,x9572),f8(x9573,x9572),x9572),f8(f11(x9571,x9573,x9572),x9572))
% 5.03/5.14 [958]~P60(x9582)+~P9(x9583,f3(x9582),x9582)+~P9(f3(x9582),x9581,x9582)+E(f11(f8(x9581,x9582),f8(x9583,x9582),x9582),f8(f11(x9581,x9583,x9582),x9582))
% 5.03/5.14 [959]~P60(x9592)+~P9(x9591,f3(x9592),x9592)+~P9(f3(x9592),x9593,x9592)+E(f11(f8(x9591,x9592),f8(x9593,x9592),x9592),f8(f11(x9591,x9593,x9592),x9592))
% 5.03/5.14 [960]~P60(x9602)+~P9(f3(x9602),x9603,x9602)+~P9(f3(x9602),x9601,x9602)+E(f11(f8(x9601,x9602),f8(x9603,x9602),x9602),f8(f11(x9601,x9603,x9602),x9602))
% 5.03/5.14 [1100]~P50(x11003)+~P10(x11001,f4(x11003),x11003)+~P10(f3(x11003),x11001,x11003)+P10(f11(x11001,f17(x11001,x11002,x11003),x11003),f17(x11001,x11002,x11003),x11003)
% 5.03/5.14 [747]~P39(x7473)+~P10(x7471,x7474,x7473)+P10(x7471,x7472,x7473)+~P10(x7474,x7472,x7473)
% 5.03/5.14 [748]~P39(x7483)+~P9(x7481,x7484,x7483)+P10(x7481,x7482,x7483)+~P10(x7484,x7482,x7483)
% 5.03/5.14 [749]~P39(x7493)+~P9(x7494,x7492,x7493)+P10(x7491,x7492,x7493)+~P10(x7491,x7494,x7493)
% 5.03/5.14 [750]~P40(x7503)+~P10(x7501,x7504,x7503)+P10(x7501,x7502,x7503)+~P10(x7504,x7502,x7503)
% 5.03/5.14 [751]~P40(x7513)+~P9(x7511,x7514,x7513)+P10(x7511,x7512,x7513)+~P10(x7514,x7512,x7513)
% 5.03/5.14 [752]~P40(x7523)+~P9(x7524,x7522,x7523)+P10(x7521,x7522,x7523)+~P10(x7521,x7524,x7523)
% 5.03/5.14 [753]~P39(x7533)+~P9(x7531,x7534,x7533)+P9(x7531,x7532,x7533)+~P9(x7534,x7532,x7533)
% 5.03/5.14 [754]~P40(x7543)+~P9(x7541,x7544,x7543)+P9(x7541,x7542,x7543)+~P9(x7544,x7542,x7543)
% 5.03/5.14 [686]~P56(x6864)+~P13(x6864)+E(x6861,x6862)+~E(f12(x6863,x6861,x6864),f12(x6863,x6862,x6864))
% 5.03/5.14 [798]~P50(x7984)+E(x7981,x7982)+~P10(f4(x7984),x7983,x7984)+~E(f17(x7983,x7981,x7984),f17(x7983,x7982,x7984))
% 5.03/5.14 [878]~P32(x8784)+~P10(x8781,x8783,x8784)+~P10(x8781,x8782,x8784)+P10(x8781,f19(x8782,x8783,x8784),x8784)
% 5.03/5.14 [881]~P32(x8814)+~P9(x8811,x8813,x8814)+~P9(x8811,x8812,x8814)+P9(x8811,f19(x8812,x8813,x8814),x8814)
% 5.03/5.14 [884]~P6(x8844)+~P9(x8841,x8843,x8844)+~P9(x8841,x8842,x8844)+P9(x8841,f14(x8842,x8843,x8844),x8844)
% 5.03/5.14 [885]~P32(x8853)+~P10(x8852,x8854,x8853)+~P10(x8851,x8854,x8853)+P10(f20(x8851,x8852,x8853),x8854,x8853)
% 5.03/5.14 [888]~P32(x8883)+~P9(x8882,x8884,x8883)+~P9(x8881,x8884,x8883)+P9(f20(x8881,x8882,x8883),x8884,x8883)
% 5.03/5.14 [892]~P50(x8924)+~P10(x8921,x8923,x8924)+~P10(f3(x8924),x8922,x8924)+P10(x8921,f12(x8922,x8923,x8924),x8924)
% 5.03/5.14 [935]~P32(x9353)+P10(x9351,x9352,x9353)+P10(x9351,x9354,x9353)+~P10(x9351,f20(x9352,x9354,x9353),x9353)
% 5.03/5.14 [936]~P32(x9363)+P9(x9361,x9362,x9363)+P9(x9361,x9364,x9363)+~P9(x9361,f20(x9362,x9364,x9363),x9363)
% 5.03/5.14 [937]~P32(x9373)+P10(x9371,x9372,x9373)+P10(x9374,x9372,x9373)+~P10(f19(x9371,x9374,x9373),x9372,x9373)
% 5.03/5.14 [938]~P32(x9383)+P9(x9381,x9382,x9383)+P9(x9384,x9382,x9383)+~P9(f19(x9381,x9384,x9383),x9382,x9383)
% 5.03/5.14 [1011]~P59(x10113)+~P10(x10114,x10111,x10113)+~P10(x10112,f3(x10113),x10113)+P10(f11(x10111,x10112,x10113),f11(x10114,x10112,x10113),x10113)
% 5.03/5.14 [1014]~P59(x10143)+~P10(x10144,x10142,x10143)+~P10(x10141,f3(x10143),x10143)+P10(f11(x10141,x10142,x10143),f11(x10141,x10144,x10143),x10143)
% 5.03/5.14 [1015]~P63(x10153)+~P9(x10154,x10151,x10153)+~P9(x10152,f3(x10153),x10153)+P9(f11(x10151,x10152,x10153),f11(x10154,x10152,x10153),x10153)
% 5.03/5.14 [1016]~P59(x10163)+~P9(x10164,x10162,x10163)+~P10(x10161,f3(x10163),x10163)+P9(f11(x10161,x10162,x10163),f11(x10161,x10164,x10163),x10163)
% 5.03/5.14 [1017]~P63(x10173)+~P9(x10174,x10172,x10173)+~P9(x10171,f3(x10173),x10173)+P9(f11(x10171,x10172,x10173),f11(x10171,x10174,x10173),x10173)
% 5.03/5.14 [1018]~P59(x10183)+~P10(x10181,x10184,x10183)+~P10(f3(x10183),x10182,x10183)+P10(f11(x10181,x10182,x10183),f11(x10184,x10182,x10183),x10183)
% 5.03/5.14 [1019]~P61(x10193)+~P10(x10191,x10194,x10193)+~P10(f3(x10193),x10192,x10193)+P10(f11(x10191,x10192,x10193),f11(x10194,x10192,x10193),x10193)
% 5.03/5.14 [1021]~P59(x10213)+~P10(x10212,x10214,x10213)+~P10(f3(x10213),x10211,x10213)+P10(f11(x10211,x10212,x10213),f11(x10211,x10214,x10213),x10213)
% 5.03/5.14 [1022]~P61(x10223)+~P10(x10222,x10224,x10223)+~P10(f3(x10223),x10221,x10223)+P10(f11(x10221,x10222,x10223),f11(x10221,x10224,x10223),x10223)
% 5.03/5.14 [1023]~P58(x10233)+~P10(x10232,x10234,x10233)+~P10(f3(x10233),x10231,x10233)+P10(f11(x10231,x10232,x10233),f11(x10231,x10234,x10233),x10233)
% 5.03/5.14 [1024]~P55(x10243)+~P9(x10241,x10244,x10243)+~P9(f3(x10243),x10242,x10243)+P9(f11(x10241,x10242,x10243),f11(x10244,x10242,x10243),x10243)
% 5.03/5.14 [1025]~P59(x10253)+~P9(x10252,x10254,x10253)+~P10(f3(x10253),x10251,x10253)+P9(f11(x10251,x10252,x10253),f11(x10251,x10254,x10253),x10253)
% 5.03/5.14 [1026]~P54(x10263)+~P9(x10262,x10264,x10263)+~P9(f3(x10263),x10261,x10263)+P9(f11(x10261,x10262,x10263),f11(x10261,x10264,x10263),x10263)
% 5.03/5.14 [1027]~P55(x10273)+~P9(x10272,x10274,x10273)+~P9(f3(x10273),x10271,x10273)+P9(f11(x10271,x10272,x10273),f11(x10271,x10274,x10273),x10273)
% 5.03/5.14 [1028]~P50(x10283)+~P9(x10281,x10284,x10283)+~P9(f3(x10283),x10281,x10283)+P9(f17(x10281,x10282,x10283),f17(x10284,x10282,x10283),x10283)
% 5.03/5.14 [1051]P10(x10512,x10511,x10513)+~P59(x10513)+P10(x10511,x10512,x10513)+~P10(f11(x10514,x10511,x10513),f11(x10514,x10512,x10513),x10513)
% 5.03/5.14 [1052]P10(x10522,x10521,x10523)+~P59(x10523)+P10(x10521,x10522,x10523)+~P10(f11(x10521,x10524,x10523),f11(x10522,x10524,x10523),x10523)
% 5.03/5.14 [1057]~P59(x10573)+P10(x10571,x10572,x10573)+~P10(f11(x10571,x10574,x10573),f11(x10572,x10574,x10573),x10573)+P10(x10574,f3(x10573),x10573)
% 5.03/5.14 [1058]~P59(x10583)+P10(x10581,x10582,x10583)+~P10(f11(x10584,x10581,x10583),f11(x10584,x10582,x10583),x10583)+P10(x10584,f3(x10583),x10583)
% 5.03/5.14 [1059]~P59(x10593)+P10(x10591,x10592,x10593)+~P10(f11(x10594,x10592,x10593),f11(x10594,x10591,x10593),x10593)+P10(f3(x10593),x10594,x10593)
% 5.03/5.14 [1060]~P59(x10603)+P10(x10601,x10602,x10603)+~P10(f11(x10602,x10604,x10603),f11(x10601,x10604,x10603),x10603)+P10(f3(x10603),x10604,x10603)
% 5.03/5.14 [1063]~P59(x10632)+~P10(f11(x10633,x10631,x10632),f11(x10634,x10631,x10632),x10632)+P10(x10631,f3(x10632),x10632)+P10(f3(x10632),x10631,x10632)
% 5.03/5.14 [1064]~P59(x10642)+~P10(f11(x10641,x10643,x10642),f11(x10641,x10644,x10642),x10642)+P10(x10641,f3(x10642),x10642)+P10(f3(x10642),x10641,x10642)
% 5.03/5.14 [1071]~P59(x10713)+P10(x10711,x10712,x10713)+~P10(f11(x10714,x10712,x10713),f11(x10714,x10711,x10713),x10713)+~P10(x10714,f3(x10713),x10713)
% 5.03/5.14 [1072]~P59(x10723)+P9(x10721,x10722,x10723)+~P9(f11(x10724,x10722,x10723),f11(x10724,x10721,x10723),x10723)+~P10(x10724,f3(x10723),x10723)
% 5.03/5.14 [1073]~P50(x10733)+P10(x10731,x10732,x10733)+~P9(f3(x10733),x10732,x10733)+~P10(f17(x10731,x10734,x10733),f17(x10732,x10734,x10733),x10733)
% 5.03/5.14 [1074]~P59(x10743)+P10(x10741,x10742,x10743)+~P10(f11(x10744,x10741,x10743),f11(x10744,x10742,x10743),x10743)+~P10(f3(x10743),x10744,x10743)
% 5.03/5.14 [1075]~P61(x10753)+P10(x10751,x10752,x10753)+~P10(f11(x10754,x10751,x10753),f11(x10754,x10752,x10753),x10753)+~P9(f3(x10753),x10754,x10753)
% 5.03/5.14 [1076]~P61(x10763)+P10(x10761,x10762,x10763)+~P10(f11(x10761,x10764,x10763),f11(x10762,x10764,x10763),x10763)+~P9(f3(x10763),x10764,x10763)
% 5.03/5.14 [1077]~P62(x10773)+P10(x10771,x10772,x10773)+~P10(f11(x10774,x10771,x10773),f11(x10774,x10772,x10773),x10773)+~P9(f3(x10773),x10774,x10773)
% 5.03/5.14 [1078]~P62(x10783)+P10(x10781,x10782,x10783)+~P10(f11(x10781,x10784,x10783),f11(x10782,x10784,x10783),x10783)+~P9(f3(x10783),x10784,x10783)
% 5.03/5.14 [1079]~P59(x10793)+P9(x10791,x10792,x10793)+~P9(f11(x10794,x10791,x10793),f11(x10794,x10792,x10793),x10793)+~P10(f3(x10793),x10794,x10793)
% 5.03/5.14 [1080]~P61(x10803)+P9(x10801,x10802,x10803)+~P9(f11(x10804,x10801,x10803),f11(x10804,x10802,x10803),x10803)+~P10(f3(x10803),x10804,x10803)
% 5.03/5.14 [1081]~P61(x10813)+P9(x10811,x10812,x10813)+~P9(f11(x10811,x10814,x10813),f11(x10812,x10814,x10813),x10813)+~P10(f3(x10813),x10814,x10813)
% 5.03/5.14 [1030]~P2(x10302)+E(x10301,f3(x10302))+~P9(x10303,f3(a1),a1)+~P9(f16(x10301,x10302),f11(x10303,f16(x10304,x10302),a1),a1)
% 5.03/5.14 [1105]~P51(x11053)+~P10(x11051,f12(x11052,x11054,x11053),x11053)+~P10(f9(x11052,x11054,x11053),x11051,x11053)+P10(f8(f9(x11051,x11052,x11053),x11053),x11054,x11053)
% 5.03/5.14 [831]~P27(x8313)+~P10(x8314,x8315,x8313)+P10(x8311,x8312,x8313)+~E(f9(x8314,x8315,x8313),f9(x8311,x8312,x8313))
% 5.03/5.14 [832]~P27(x8323)+~P10(x8324,x8325,x8323)+P10(x8321,x8322,x8323)+~E(f9(x8321,x8322,x8323),f9(x8324,x8325,x8323))
% 5.03/5.14 [833]~P27(x8333)+~P9(x8335,x8334,x8333)+P9(x8331,x8332,x8333)+~E(f9(x8334,x8335,x8333),f9(x8332,x8331,x8333))
% 5.03/5.14 [834]~P27(x8343)+~P9(x8345,x8344,x8343)+P9(x8341,x8342,x8343)+~E(f9(x8342,x8341,x8343),f9(x8344,x8345,x8343))
% 5.03/5.14 [1001]~P36(x10013)+~P10(x10012,x10015,x10013)+~P10(x10011,x10014,x10013)+P10(f12(x10011,x10012,x10013),f12(x10014,x10015,x10013),x10013)
% 5.03/5.14 [1002]~P36(x10023)+~P10(x10022,x10025,x10023)+~P9(x10021,x10024,x10023)+P10(f12(x10021,x10022,x10023),f12(x10024,x10025,x10023),x10023)
% 5.03/5.14 [1003]~P36(x10033)+~P10(x10031,x10034,x10033)+~P9(x10032,x10035,x10033)+P10(f12(x10031,x10032,x10033),f12(x10034,x10035,x10033),x10033)
% 5.03/5.14 [1004]~P35(x10043)+~P9(x10042,x10045,x10043)+~P9(x10041,x10044,x10043)+P9(f12(x10041,x10042,x10043),f12(x10044,x10045,x10043),x10043)
% 5.03/5.14 [1038]~P7(x10383)+~P8(x10383)+P11(x10381,x10382,x10383)+~P11(f18(x10381,x10384,x10383),f18(x10382,x10385,x10383),f27(x10383))
% 5.03/5.14 [1039]~P7(x10393)+~P8(x10393)+~P11(f18(x10394,x10391,x10393),f18(x10395,x10392,x10393),f27(x10393))+P11(x10391,x10392,f27(x10393))
% 5.03/5.14 [1045]~P27(x10454)+~P9(x10455,x10453,x10454)+~P9(x10451,f12(x10452,x10455,x10454),x10454)+P9(x10451,f12(x10452,x10453,x10454),x10454)
% 5.03/5.14 [1088]~P51(x10882)+~P10(f8(x10881,x10882),x10884,x10882)+~P10(f8(x10883,x10882),x10885,x10882)+P10(f11(f8(x10881,x10882),f8(x10883,x10882),x10882),f11(x10884,x10885,x10882),x10882)
% 5.03/5.14 [1097]~P41(x10973)+~P10(f16(x10972,x10973),x10975,a1)+~P10(f16(x10971,x10973),x10974,a1)+P10(f16(f11(x10971,x10972,x10973),x10973),f11(x10974,x10975,a1),a1)
% 5.03/5.14 [1098]~P2(x10983)+~P10(f16(x10982,x10983),x10985,a1)+~P10(f16(x10981,x10983),x10984,a1)+P10(f16(f12(x10981,x10982,x10983),x10983),f12(x10984,x10985,a1),a1)
% 5.03/5.14 [806]~P33(x8062)+~P9(f3(x8062),x8061,x8062)+~P9(f3(x8062),x8063,x8062)+~E(f12(x8063,x8061,x8062),f3(x8062))+E(x8061,f3(x8062))
% 5.03/5.14 [807]~P33(x8072)+~P9(f3(x8072),x8073,x8072)+~P9(f3(x8072),x8071,x8072)+~E(f12(x8071,x8073,x8072),f3(x8072))+E(x8071,f3(x8072))
% 5.03/5.14 [1008]~P51(x10083)+~P9(x10081,f4(x10083),x10083)+~P9(f3(x10083),x10082,x10083)+~P9(f3(x10083),x10081,x10083)+P9(f11(x10081,x10082,x10083),x10082,x10083)
% 5.03/5.14 [1009]~P51(x10093)+~P9(x10092,f4(x10093),x10093)+~P9(f3(x10093),x10092,x10093)+~P9(f3(x10093),x10091,x10093)+P9(f11(x10091,x10092,x10093),x10091,x10093)
% 5.03/5.14 [955]~P7(x9551)+~P8(x9551)+~P11(f3(x9551),x9552,x9551)+~P11(f3(f27(x9551)),x9553,f27(x9551))+P11(f3(f27(x9551)),f18(x9552,x9553,x9551),f27(x9551))
% 5.03/5.14 [956]~P7(x9563)+~P8(x9563)+~P11(x9561,f3(x9563),x9563)+~P11(x9562,f3(f27(x9563)),f27(x9563))+P11(f18(x9561,x9562,x9563),f3(f27(x9563)),f27(x9563))
% 5.03/5.14 [894]~P34(x8944)+~P19(x8944)+~P10(x8941,x8943,x8944)+~P9(f3(x8944),x8942,x8944)+P10(x8941,f12(x8942,x8943,x8944),x8944)
% 5.03/5.14 [895]~P34(x8954)+~P19(x8954)+~P9(x8951,x8953,x8954)+~P10(f3(x8954),x8952,x8954)+P10(x8951,f12(x8952,x8953,x8954),x8954)
% 5.03/5.14 [896]~P34(x8964)+~P19(x8964)+~P9(x8961,x8963,x8964)+~P9(f3(x8964),x8962,x8964)+P9(x8961,f12(x8962,x8963,x8964),x8964)
% 5.03/5.14 [897]~P34(x8974)+~P19(x8974)+~P9(x8971,x8972,x8974)+~P9(f3(x8974),x8973,x8974)+P9(x8971,f12(x8972,x8973,x8974),x8974)
% 5.03/5.14 [1031]~P7(x10313)+~P8(x10313)+~P11(x10311,x10314,x10313)+~P11(x10312,x10315,f27(x10313))+P11(f18(x10311,x10312,x10313),f18(x10314,x10315,x10313),f27(x10313))
% 5.03/5.14 [1050]~P56(x10504)+~P13(x10504)+E(x10501,x10502)+E(x10503,f3(x10504))+~E(f12(x10505,f11(x10503,x10501,x10504),x10504),f12(x10505,f11(x10503,x10502,x10504),x10504))
% 5.03/5.14 [1107]~P56(x11075)+~P13(x11075)+E(x11071,x11072)+E(x11073,x11074)+~E(f12(f11(x11073,x11071,x11075),f11(x11074,x11072,x11075),x11075),f12(f11(x11073,x11072,x11075),f11(x11074,x11071,x11075),x11075))
% 5.03/5.14 [561]~P67(x5612)+~P52(x5612)+~P53(x5612)+~P38(x5612)+~E(f17(x5611,x5613,x5612),f3(x5612))+E(x5611,f3(x5612))
% 5.03/5.14 [1089]~P61(x10893)+~P10(x10892,x10895,x10893)+~P10(x10891,x10894,x10893)+~P10(f3(x10893),x10894,x10893)+~P9(f3(x10893),x10892,x10893)+P10(f11(x10891,x10892,x10893),f11(x10894,x10895,x10893),x10893)
% 5.03/5.14 [1090]~P61(x10903)+~P10(x10902,x10905,x10903)+~P10(x10901,x10904,x10903)+~P9(f3(x10903),x10902,x10903)+~P9(f3(x10903),x10901,x10903)+P10(f11(x10901,x10902,x10903),f11(x10904,x10905,x10903),x10903)
% 5.03/5.14 [1091]~P61(x10913)+~P10(x10912,x10915,x10913)+~P9(x10911,x10914,x10913)+~P10(f3(x10913),x10911,x10913)+~P9(f3(x10913),x10912,x10913)+P10(f11(x10911,x10912,x10913),f11(x10914,x10915,x10913),x10913)
% 5.03/5.14 [1092]~P61(x10923)+~P10(x10921,x10924,x10923)+~P9(x10922,x10925,x10923)+~P10(f3(x10923),x10922,x10923)+~P9(f3(x10923),x10921,x10923)+P10(f11(x10921,x10922,x10923),f11(x10924,x10925,x10923),x10923)
% 5.03/5.14 [1093]~P66(x10933)+~P9(x10932,x10935,x10933)+~P9(x10931,x10934,x10933)+~P9(f3(x10933),x10934,x10933)+~P9(f3(x10933),x10932,x10933)+P9(f11(x10931,x10932,x10933),f11(x10934,x10935,x10933),x10933)
% 5.03/5.14 [1094]~P66(x10943)+~P9(x10942,x10945,x10943)+~P9(x10941,x10944,x10943)+~P9(f3(x10943),x10942,x10943)+~P9(f3(x10943),x10941,x10943)+P9(f11(x10941,x10942,x10943),f11(x10944,x10945,x10943),x10943)
% 5.03/5.14 %EqnAxiom
% 5.03/5.14 [1]E(x11,x11)
% 5.03/5.14 [2]E(x22,x21)+~E(x21,x22)
% 5.03/5.14 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 5.03/5.14 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 5.03/5.14 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 5.03/5.14 [6]~E(x61,x62)+E(f9(x61,x63,x64),f9(x62,x63,x64))
% 5.03/5.14 [7]~E(x71,x72)+E(f9(x73,x71,x74),f9(x73,x72,x74))
% 5.03/5.14 [8]~E(x81,x82)+E(f9(x83,x84,x81),f9(x83,x84,x82))
% 5.03/5.14 [9]~E(x91,x92)+E(f4(x91),f4(x92))
% 5.03/5.14 [10]~E(x101,x102)+E(f11(x101,x103,x104),f11(x102,x103,x104))
% 5.03/5.14 [11]~E(x111,x112)+E(f11(x113,x111,x114),f11(x113,x112,x114))
% 5.03/5.14 [12]~E(x121,x122)+E(f11(x123,x124,x121),f11(x123,x124,x122))
% 5.03/5.14 [13]~E(x131,x132)+E(f19(x131,x133,x134),f19(x132,x133,x134))
% 5.03/5.14 [14]~E(x141,x142)+E(f19(x143,x141,x144),f19(x143,x142,x144))
% 5.03/5.14 [15]~E(x151,x152)+E(f19(x153,x154,x151),f19(x153,x154,x152))
% 5.03/5.14 [16]~E(x161,x162)+E(f8(x161,x163),f8(x162,x163))
% 5.03/5.14 [17]~E(x171,x172)+E(f8(x173,x171),f8(x173,x172))
% 5.03/5.14 [18]~E(x181,x182)+E(f15(x181),f15(x182))
% 5.03/5.14 [19]~E(x191,x192)+E(f17(x191,x193,x194),f17(x192,x193,x194))
% 5.03/5.14 [20]~E(x201,x202)+E(f17(x203,x201,x204),f17(x203,x202,x204))
% 5.03/5.14 [21]~E(x211,x212)+E(f17(x213,x214,x211),f17(x213,x214,x212))
% 5.03/5.14 [22]~E(x221,x222)+E(f5(x221),f5(x222))
% 5.03/5.14 [23]~E(x231,x232)+E(f10(x231,x233),f10(x232,x233))
% 5.03/5.14 [24]~E(x241,x242)+E(f10(x243,x241),f10(x243,x242))
% 5.03/5.14 [25]~E(x251,x252)+E(f26(x251,x253),f26(x252,x253))
% 5.03/5.14 [26]~E(x261,x262)+E(f26(x263,x261),f26(x263,x262))
% 5.03/5.14 [27]~E(x271,x272)+E(f6(x271),f6(x272))
% 5.03/5.14 [28]~E(x281,x282)+E(f16(x281,x283),f16(x282,x283))
% 5.03/5.14 [29]~E(x291,x292)+E(f16(x293,x291),f16(x293,x292))
% 5.03/5.14 [30]~E(x301,x302)+E(f12(x301,x303,x304),f12(x302,x303,x304))
% 5.03/5.14 [31]~E(x311,x312)+E(f12(x313,x311,x314),f12(x313,x312,x314))
% 5.03/5.14 [32]~E(x321,x322)+E(f12(x323,x324,x321),f12(x323,x324,x322))
% 5.03/5.14 [33]~E(x331,x332)+E(f20(x331,x333,x334),f20(x332,x333,x334))
% 5.03/5.14 [34]~E(x341,x342)+E(f20(x343,x341,x344),f20(x343,x342,x344))
% 5.03/5.14 [35]~E(x351,x352)+E(f20(x353,x354,x351),f20(x353,x354,x352))
% 5.03/5.14 [36]~E(x361,x362)+E(f18(x361,x363,x364),f18(x362,x363,x364))
% 5.03/5.14 [37]~E(x371,x372)+E(f18(x373,x371,x374),f18(x373,x372,x374))
% 5.03/5.14 [38]~E(x381,x382)+E(f18(x383,x384,x381),f18(x383,x384,x382))
% 5.03/5.14 [39]~E(x391,x392)+E(f7(x391),f7(x392))
% 5.03/5.14 [40]~E(x401,x402)+E(f14(x401,x403,x404),f14(x402,x403,x404))
% 5.03/5.14 [41]~E(x411,x412)+E(f14(x413,x411,x414),f14(x413,x412,x414))
% 5.03/5.14 [42]~E(x421,x422)+E(f14(x423,x424,x421),f14(x423,x424,x422))
% 5.03/5.14 [43]~E(x431,x432)+E(f21(x431),f21(x432))
% 5.03/5.14 [44]~E(x441,x442)+E(f27(x441),f27(x442))
% 5.03/5.14 [45]~E(x451,x452)+E(f22(x451,x453,x454),f22(x452,x453,x454))
% 5.03/5.14 [46]~E(x461,x462)+E(f22(x463,x461,x464),f22(x463,x462,x464))
% 5.03/5.14 [47]~E(x471,x472)+E(f22(x473,x474,x471),f22(x473,x474,x472))
% 5.03/5.14 [48]~E(x481,x482)+E(f25(x481,x483,x484),f25(x482,x483,x484))
% 5.03/5.14 [49]~E(x491,x492)+E(f25(x493,x491,x494),f25(x493,x492,x494))
% 5.03/5.14 [50]~E(x501,x502)+E(f25(x503,x504,x501),f25(x503,x504,x502))
% 5.03/5.14 [51]~E(x511,x512)+E(f24(x511,x513,x514),f24(x512,x513,x514))
% 5.03/5.14 [52]~E(x521,x522)+E(f24(x523,x521,x524),f24(x523,x522,x524))
% 5.03/5.14 [53]~E(x531,x532)+E(f24(x533,x534,x531),f24(x533,x534,x532))
% 5.03/5.14 [54]~E(x541,x542)+E(f23(x541,x543,x544),f23(x542,x543,x544))
% 5.03/5.14 [55]~E(x551,x552)+E(f23(x553,x551,x554),f23(x553,x552,x554))
% 5.03/5.14 [56]~E(x561,x562)+E(f23(x563,x564,x561),f23(x563,x564,x562))
% 5.03/5.14 [57]~E(x571,x572)+E(f35(x571,x573),f35(x572,x573))
% 5.03/5.14 [58]~E(x581,x582)+E(f35(x583,x581),f35(x583,x582))
% 5.03/5.14 [59]~E(x591,x592)+E(f38(x591,x593,x594),f38(x592,x593,x594))
% 5.03/5.14 [60]~E(x601,x602)+E(f38(x603,x601,x604),f38(x603,x602,x604))
% 5.03/5.14 [61]~E(x611,x612)+E(f38(x613,x614,x611),f38(x613,x614,x612))
% 5.03/5.14 [62]~E(x621,x622)+E(f36(x621,x623),f36(x622,x623))
% 5.03/5.14 [63]~E(x631,x632)+E(f36(x633,x631),f36(x633,x632))
% 5.03/5.14 [64]~E(x641,x642)+E(f37(x641,x643,x644),f37(x642,x643,x644))
% 5.03/5.14 [65]~E(x651,x652)+E(f37(x653,x651,x654),f37(x653,x652,x654))
% 5.03/5.14 [66]~E(x661,x662)+E(f37(x663,x664,x661),f37(x663,x664,x662))
% 5.03/5.14 [67]~P1(x671)+P1(x672)+~E(x671,x672)
% 5.03/5.14 [68]~P41(x681)+P41(x682)+~E(x681,x682)
% 5.03/5.14 [69]~P3(x691)+P3(x692)+~E(x691,x692)
% 5.03/5.14 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 5.03/5.14 [71]P9(x712,x713,x714)+~E(x711,x712)+~P9(x711,x713,x714)
% 5.03/5.14 [72]P9(x723,x722,x724)+~E(x721,x722)+~P9(x723,x721,x724)
% 5.03/5.14 [73]P9(x733,x734,x732)+~E(x731,x732)+~P9(x733,x734,x731)
% 5.03/5.14 [74]P10(x742,x743,x744)+~E(x741,x742)+~P10(x741,x743,x744)
% 5.03/5.14 [75]P10(x753,x752,x754)+~E(x751,x752)+~P10(x753,x751,x754)
% 5.03/5.14 [76]P10(x763,x764,x762)+~E(x761,x762)+~P10(x763,x764,x761)
% 5.03/5.14 [77]~P32(x771)+P32(x772)+~E(x771,x772)
% 5.03/5.14 [78]~P45(x781)+P45(x782)+~E(x781,x782)
% 5.03/5.14 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 5.03/5.14 [80]~P5(x801)+P5(x802)+~E(x801,x802)
% 5.03/5.14 [81]~P59(x811)+P59(x812)+~E(x811,x812)
% 5.03/5.14 [82]~P50(x821)+P50(x822)+~E(x821,x822)
% 5.03/5.14 [83]~P14(x831)+P14(x832)+~E(x831,x832)
% 5.03/5.14 [84]~P51(x841)+P51(x842)+~E(x841,x842)
% 5.03/5.14 [85]~P6(x851)+P6(x852)+~E(x851,x852)
% 5.03/5.14 [86]~P18(x861)+P18(x862)+~E(x861,x862)
% 5.03/5.14 [87]~P60(x871)+P60(x872)+~E(x871,x872)
% 5.03/5.14 [88]~P65(x881)+P65(x882)+~E(x881,x882)
% 5.03/5.14 [89]~P27(x891)+P27(x892)+~E(x891,x892)
% 5.03/5.14 [90]~P26(x901)+P26(x902)+~E(x901,x902)
% 5.03/5.14 [91]~P7(x911)+P7(x912)+~E(x911,x912)
% 5.03/5.14 [92]P12(x922,x923)+~E(x921,x922)+~P12(x921,x923)
% 5.03/5.14 [93]P12(x933,x932)+~E(x931,x932)+~P12(x933,x931)
% 5.03/5.14 [94]~P29(x941)+P29(x942)+~E(x941,x942)
% 5.03/5.14 [95]~P8(x951)+P8(x952)+~E(x951,x952)
% 5.03/5.14 [96]~P34(x961)+P34(x962)+~E(x961,x962)
% 5.03/5.14 [97]~P21(x971)+P21(x972)+~E(x971,x972)
% 5.03/5.14 [98]~P67(x981)+P67(x982)+~E(x981,x982)
% 5.03/5.14 [99]~P38(x991)+P38(x992)+~E(x991,x992)
% 5.03/5.14 [100]~P15(x1001)+P15(x1002)+~E(x1001,x1002)
% 5.03/5.14 [101]~P52(x1011)+P52(x1012)+~E(x1011,x1012)
% 5.03/5.14 [102]~P31(x1021)+P31(x1022)+~E(x1021,x1022)
% 5.03/5.14 [103]~P22(x1031)+P22(x1032)+~E(x1031,x1032)
% 5.03/5.14 [104]~P53(x1041)+P53(x1042)+~E(x1041,x1042)
% 5.03/5.14 [105]~P13(x1051)+P13(x1052)+~E(x1051,x1052)
% 5.03/5.14 [106]~P56(x1061)+P56(x1062)+~E(x1061,x1062)
% 5.03/5.14 [107]~P36(x1071)+P36(x1072)+~E(x1071,x1072)
% 5.03/5.14 [108]~P64(x1081)+P64(x1082)+~E(x1081,x1082)
% 5.03/5.14 [109]~P40(x1091)+P40(x1092)+~E(x1091,x1092)
% 5.03/5.14 [110]~P68(x1101)+P68(x1102)+~E(x1101,x1102)
% 5.03/5.14 [111]~P72(x1111)+P72(x1112)+~E(x1111,x1112)
% 5.03/5.14 [112]~P28(x1121)+P28(x1122)+~E(x1121,x1122)
% 5.03/5.14 [113]~P39(x1131)+P39(x1132)+~E(x1131,x1132)
% 5.03/5.14 [114]~P61(x1141)+P61(x1142)+~E(x1141,x1142)
% 5.03/5.14 [115]~P57(x1151)+P57(x1152)+~E(x1151,x1152)
% 5.03/5.14 [116]~P54(x1161)+P54(x1162)+~E(x1161,x1162)
% 5.03/5.14 [117]~P47(x1171)+P47(x1172)+~E(x1171,x1172)
% 5.03/5.14 [118]~P55(x1181)+P55(x1182)+~E(x1181,x1182)
% 5.03/5.14 [119]~P42(x1191)+P42(x1192)+~E(x1191,x1192)
% 5.03/5.14 [120]~P63(x1201)+P63(x1202)+~E(x1201,x1202)
% 5.03/5.14 [121]~P70(x1211)+P70(x1212)+~E(x1211,x1212)
% 5.03/5.14 [122]~P33(x1221)+P33(x1222)+~E(x1221,x1222)
% 5.03/5.14 [123]P11(x1232,x1233,x1234)+~E(x1231,x1232)+~P11(x1231,x1233,x1234)
% 5.03/5.14 [124]P11(x1243,x1242,x1244)+~E(x1241,x1242)+~P11(x1243,x1241,x1244)
% 5.03/5.14 [125]P11(x1253,x1254,x1252)+~E(x1251,x1252)+~P11(x1253,x1254,x1251)
% 5.03/5.14 [126]~P46(x1261)+P46(x1262)+~E(x1261,x1262)
% 5.03/5.14 [127]~P16(x1271)+P16(x1272)+~E(x1271,x1272)
% 5.03/5.14 [128]~P25(x1281)+P25(x1282)+~E(x1281,x1282)
% 5.03/5.14 [129]~P17(x1291)+P17(x1292)+~E(x1291,x1292)
% 5.03/5.14 [130]~P48(x1301)+P48(x1302)+~E(x1301,x1302)
% 5.03/5.14 [131]~P19(x1311)+P19(x1312)+~E(x1311,x1312)
% 5.03/5.14 [132]~P43(x1321)+P43(x1322)+~E(x1321,x1322)
% 5.03/5.14 [133]~P24(x1331)+P24(x1332)+~E(x1331,x1332)
% 5.03/5.14 [134]~P30(x1341)+P30(x1342)+~E(x1341,x1342)
% 5.03/5.14 [135]~P35(x1351)+P35(x1352)+~E(x1351,x1352)
% 5.03/5.14 [136]~P44(x1361)+P44(x1362)+~E(x1361,x1362)
% 5.03/5.14 [137]~P20(x1371)+P20(x1372)+~E(x1371,x1372)
% 5.03/5.14 [138]~P71(x1381)+P71(x1382)+~E(x1381,x1382)
% 5.03/5.14 [139]~P49(x1391)+P49(x1392)+~E(x1391,x1392)
% 5.03/5.14 [140]~P66(x1401)+P66(x1402)+~E(x1401,x1402)
% 5.03/5.14 [141]~P69(x1411)+P69(x1412)+~E(x1411,x1412)
% 5.03/5.14 [142]~P37(x1421)+P37(x1422)+~E(x1421,x1422)
% 5.03/5.14 [143]~P58(x1431)+P58(x1432)+~E(x1431,x1432)
% 5.03/5.14 [144]~P62(x1441)+P62(x1442)+~E(x1441,x1442)
% 5.03/5.14 [145]~P23(x1451)+P23(x1452)+~E(x1451,x1452)
% 5.03/5.14
% 5.03/5.14 %-------------------------------------------
% 5.27/5.15 cnf(1141,plain,
% 5.27/5.15 (P9(x11411,x11411,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1146,plain,
% 5.27/5.15 (~P10(x11461,x11461,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1149,plain,
% 5.27/5.15 (~P10(x11491,x11491,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1154,plain,
% 5.27/5.15 (~P10(x11541,x11541,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1159,plain,
% 5.27/5.15 (~P10(x11591,x11591,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1162,plain,
% 5.27/5.15 (~P10(x11621,x11621,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1165,plain,
% 5.27/5.15 (P9(x11651,f13(f12(f11(x11651,x11651,a1),f11(x11652,x11652,a1),a1)),a1)),
% 5.27/5.15 inference(rename_variables,[],[331])).
% 5.27/5.15 cnf(1168,plain,
% 5.27/5.15 (~P10(f12(f8(x11681,a1),f4(a1),a1),x11681,a1)),
% 5.27/5.15 inference(rename_variables,[],[346])).
% 5.27/5.15 cnf(1175,plain,
% 5.27/5.15 (~P10(x11751,x11751,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1177,plain,
% 5.27/5.15 (~P10(x11771,x11771,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1179,plain,
% 5.27/5.15 (P9(x11791,x11791,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1181,plain,
% 5.27/5.15 (P9(x11811,x11811,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1194,plain,
% 5.27/5.15 (P9(x11941,x11941,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1197,plain,
% 5.27/5.15 (P9(x11971,x11971,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1200,plain,
% 5.27/5.15 (P9(x12001,x12001,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1203,plain,
% 5.27/5.15 (P9(x12031,x12031,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1206,plain,
% 5.27/5.15 (P9(x12061,x12061,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1209,plain,
% 5.27/5.15 (P9(x12091,x12091,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1212,plain,
% 5.27/5.15 (~P10(x12121,x12121,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1215,plain,
% 5.27/5.15 (~P10(x12151,x12151,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1218,plain,
% 5.27/5.15 (~P10(x12181,x12181,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1221,plain,
% 5.27/5.15 (~P10(x12211,x12211,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1224,plain,
% 5.27/5.15 (~P10(x12241,x12241,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1227,plain,
% 5.27/5.15 (~P10(x12271,x12271,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1232,plain,
% 5.27/5.15 (P9(x12321,x12321,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1239,plain,
% 5.27/5.15 (~P10(x12391,x12391,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1246,plain,
% 5.27/5.15 (~P10(f12(f8(x12461,a1),f4(a1),a1),x12461,a1)),
% 5.27/5.15 inference(rename_variables,[],[346])).
% 5.27/5.15 cnf(1249,plain,
% 5.27/5.15 (~P10(x12491,x12491,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1252,plain,
% 5.27/5.15 (~P10(x12521,x12521,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1255,plain,
% 5.27/5.15 (~P10(x12551,x12551,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1258,plain,
% 5.27/5.15 (~P10(x12581,x12581,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1261,plain,
% 5.27/5.15 (~P10(x12611,x12611,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1284,plain,
% 5.27/5.15 (~P10(x12841,x12841,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1289,plain,
% 5.27/5.15 (~P10(x12891,x12891,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1304,plain,
% 5.27/5.15 (P9(x13041,x13041,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1307,plain,
% 5.27/5.15 (P9(x13071,x13071,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1310,plain,
% 5.27/5.15 (~P10(x13101,x13101,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1313,plain,
% 5.27/5.15 (~P10(x13131,x13131,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1316,plain,
% 5.27/5.15 (~P10(x13161,x13161,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1319,plain,
% 5.27/5.15 (~P10(x13191,x13191,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1325,plain,
% 5.27/5.15 (E(x13251,f12(f11(f9(x13252,x13252,a1),x13253,a1),x13251,a1))),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,151,152,153,155,159,160,165,167,169,184,186,194,195,197,200,220,235,246,248,249,270,339,342,282,320,302,343,344,346,1168,310,305,317,331,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686])).
% 5.27/5.15 cnf(1330,plain,
% 5.27/5.15 (~P10(x13301,x13301,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1333,plain,
% 5.27/5.15 (P9(x13331,x13331,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1336,plain,
% 5.27/5.15 (P9(x13361,x13361,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1339,plain,
% 5.27/5.15 (~P10(x13391,x13391,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1350,plain,
% 5.27/5.15 (~P10(x13501,x13501,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1353,plain,
% 5.27/5.15 (~P10(x13531,x13531,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1364,plain,
% 5.27/5.15 (P9(x13641,x13641,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1377,plain,
% 5.27/5.15 (~P10(x13771,x13771,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1380,plain,
% 5.27/5.15 (~P10(x13801,x13801,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1383,plain,
% 5.27/5.15 (~P10(x13831,x13831,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1386,plain,
% 5.27/5.15 (~P10(x13861,x13861,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1387,plain,
% 5.27/5.15 (P9(x13871,x13871,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1392,plain,
% 5.27/5.15 (P9(x13921,x13921,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1442,plain,
% 5.27/5.15 (P39(f27(a1))),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,149,151,152,153,155,157,159,160,165,167,169,172,175,178,181,184,186,187,188,194,195,196,197,199,200,209,212,213,220,222,235,236,246,248,249,270,274,275,278,280,339,342,282,345,320,302,300,343,344,346,1168,310,305,317,331,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391])).
% 5.27/5.15 cnf(1525,plain,
% 5.27/5.15 (~P10(x15251,x15251,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1528,plain,
% 5.27/5.15 (P9(x15281,x15281,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1531,plain,
% 5.27/5.15 (P9(x15311,x15311,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1534,plain,
% 5.27/5.15 (P9(x15341,x15341,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1540,plain,
% 5.27/5.15 (~P9(f4(a1),f26(f10(f26(x15401,a1),a1),a1),a1)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,146,149,151,152,153,155,157,159,160,165,166,167,169,172,175,178,181,184,186,187,188,194,195,196,197,199,200,209,212,213,215,220,222,235,236,246,248,249,270,274,275,278,280,339,342,282,345,320,302,300,343,344,346,1168,310,305,317,331,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672])).
% 5.27/5.15 cnf(1543,plain,
% 5.27/5.15 (~P10(x15431,x15431,a1)),
% 5.27/5.15 inference(rename_variables,[],[341])).
% 5.27/5.15 cnf(1546,plain,
% 5.27/5.15 (P9(x15461,x15461,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1551,plain,
% 5.27/5.15 (P9(x15511,f13(f12(f11(x15511,x15511,a1),f11(x15512,x15512,a1),a1)),a1)),
% 5.27/5.15 inference(rename_variables,[],[331])).
% 5.27/5.15 cnf(1554,plain,
% 5.27/5.15 (P9(x15541,x15541,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1557,plain,
% 5.27/5.15 (P9(x15571,x15571,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1639,plain,
% 5.27/5.15 (P9(x16391,x16391,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1645,plain,
% 5.27/5.15 (P10(x16451,f12(x16451,f4(a1),a1),a1)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,146,149,151,152,153,155,157,159,160,165,166,167,169,172,175,178,181,184,186,187,188,194,195,196,197,199,200,209,212,213,215,220,222,235,236,246,248,249,270,274,275,278,280,296,339,342,282,345,320,302,300,343,344,346,1168,310,305,317,331,1165,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668])).
% 5.27/5.15 cnf(1647,plain,
% 5.27/5.15 (P9(f3(a1),f11(x16471,x16471,a1),a1)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,146,149,151,152,153,155,157,159,160,165,166,167,169,172,175,178,181,184,186,187,188,194,195,196,197,199,200,209,212,213,215,220,222,235,236,246,248,249,270,274,275,278,280,296,339,342,282,345,320,302,300,343,344,346,1168,310,305,317,331,1165,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652])).
% 5.27/5.15 cnf(1699,plain,
% 5.27/5.15 (P9(f3(a1),f4(a1),a1)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,146,147,149,151,152,153,155,157,159,160,161,165,166,167,169,172,175,178,181,184,186,187,188,194,195,196,197,199,200,209,211,212,213,215,220,222,235,236,246,248,249,270,274,275,278,280,296,339,342,282,345,320,302,300,343,344,346,1168,310,305,317,331,1165,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478])).
% 5.27/5.15 cnf(1701,plain,
% 5.27/5.15 (P10(f3(a1),f4(a1),a1)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,146,147,149,151,152,153,155,157,159,160,161,165,166,167,169,172,175,178,181,184,186,187,188,194,195,196,197,199,200,209,211,212,213,215,220,222,235,236,246,248,249,270,274,275,278,280,296,339,342,282,345,320,302,300,343,344,346,1168,310,305,317,331,1165,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477])).
% 5.27/5.15 cnf(1758,plain,
% 5.27/5.15 (P9(x17581,x17581,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1775,plain,
% 5.27/5.15 (P9(x17751,x17751,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1780,plain,
% 5.27/5.15 (P9(x17801,x17801,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(1787,plain,
% 5.27/5.15 (P9(x17871,x17871,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(2084,plain,
% 5.27/5.15 (~E(a28,x20841)+P37(x20841)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,155,156,157,159,160,161,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,194,195,196,197,199,200,202,204,207,208,209,211,212,213,215,216,218,220,222,223,225,226,227,228,230,234,235,236,238,244,246,248,249,250,253,260,262,263,265,267,270,274,275,278,280,296,339,342,282,345,320,302,300,343,344,346,1168,310,305,317,331,1165,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142])).
% 5.27/5.15 cnf(2116,plain,
% 5.27/5.15 (P40(f12(f11(f9(x21161,x21161,a1),x21162,a1),a1,a1))),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,155,156,157,159,160,161,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,241,244,246,248,249,250,253,256,258,260,262,263,265,267,270,272,274,275,278,280,296,339,342,282,283,345,320,302,300,343,344,285,346,1168,310,305,317,331,1165,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109])).
% 5.27/5.15 cnf(2138,plain,
% 5.27/5.15 (P6(f12(f11(f9(x21381,x21381,a1),x21382,a1),a1,a1))),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,241,244,246,248,249,250,253,256,258,260,262,263,265,267,270,272,274,275,278,280,296,339,342,282,283,345,320,302,300,343,344,285,294,346,1168,310,305,317,331,1165,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85])).
% 5.27/5.15 cnf(2150,plain,
% 5.27/5.15 (P3(f12(f11(f9(x21501,x21501,a1),x21502,a1),a1,a1))),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,241,244,246,248,249,250,253,256,258,260,262,263,265,267,270,272,274,275,278,280,296,339,342,282,283,345,320,302,300,343,344,285,294,346,1168,310,305,317,331,1165,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69])).
% 5.27/5.15 cnf(2233,plain,
% 5.27/5.15 (~E(f10(f4(a1),a1),f10(f3(a1),a1))),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,239,241,244,246,248,249,250,253,256,258,260,262,263,265,267,270,272,274,275,278,280,296,339,342,282,283,345,320,302,300,343,344,285,294,346,1168,310,305,328,317,331,1165,1551,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69,68,67,731,657,655,653,648,579,568,550,479,405,1000,876,826,825,816,815,778,776,768,766,687,667,666,665,664,663,662,661,594,593,592,586,584,583,582,581,515,514,480,476,428])).
% 5.27/5.15 cnf(2289,plain,
% 5.27/5.15 (P10(f10(f35(x22891,x22892),a1),f10(f3(a1),a1),a1)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,239,241,244,246,248,249,250,253,256,258,260,262,263,265,267,270,272,274,275,278,280,296,339,340,342,282,283,345,320,302,300,343,344,285,294,346,1168,1246,310,304,305,328,317,331,1165,1551,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69,68,67,731,657,655,653,648,579,568,550,479,405,1000,876,826,825,816,815,778,776,768,766,687,667,666,665,664,663,662,661,594,593,592,586,584,583,582,581,515,514,480,476,428,422,698,684,683,682,681,569,552,551,485,417,507,1118,1117,1035,905,903,901,898,835,783,782,741,730,728,724,705,704])).
% 5.27/5.15 cnf(2437,plain,
% 5.27/5.15 (~P11(f18(f4(a1),x24371,a1),f18(f3(a1),x24372,a1),f27(a1))),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,239,241,244,246,248,249,250,253,256,257,258,259,260,262,263,265,267,270,272,274,275,278,280,296,297,339,340,342,282,283,318,345,320,302,300,343,344,285,294,346,1168,1246,310,304,305,298,328,317,331,1165,1551,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69,68,67,731,657,655,653,648,579,568,550,479,405,1000,876,826,825,816,815,778,776,768,766,687,667,666,665,664,663,662,661,594,593,592,586,584,583,582,581,515,514,480,476,428,422,698,684,683,682,681,569,552,551,485,417,507,1118,1117,1035,905,903,901,898,835,783,782,741,730,728,724,705,704,416,791,790,789,787,781,710,693,692,691,690,534,794,793,792,788,786,564,563,562,812,799,535,1087,1086,1037,1032,756,577,1082,1116,1115,1085,1084,1062,998,997,813,951,950,1128,1126,1125,1123,1110,1109,706,596,557,556,528,938,937,936,935,888,885,884,881,878,685,523,1030,496,798,796,1045,1004,1001,834,833,832,831,1038])).
% 5.27/5.15 cnf(2467,plain,
% 5.27/5.15 (~P11(f18(f4(a1),x24671,a1),f3(f27(a1)),f27(a1))),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,239,241,244,246,248,249,250,253,256,257,258,259,260,262,263,265,267,270,272,274,275,278,280,296,297,339,340,342,282,283,318,345,320,302,299,300,343,344,285,294,346,1168,1246,310,304,305,298,328,317,331,1165,1551,332,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69,68,67,731,657,655,653,648,579,568,550,479,405,1000,876,826,825,816,815,778,776,768,766,687,667,666,665,664,663,662,661,594,593,592,586,584,583,582,581,515,514,480,476,428,422,698,684,683,682,681,569,552,551,485,417,507,1118,1117,1035,905,903,901,898,835,783,782,741,730,728,724,705,704,416,791,790,789,787,781,710,693,692,691,690,534,794,793,792,788,786,564,563,562,812,799,535,1087,1086,1037,1032,756,577,1082,1116,1115,1085,1084,1062,998,997,813,951,950,1128,1126,1125,1123,1110,1109,706,596,557,556,528,938,937,936,935,888,885,884,881,878,685,523,1030,496,798,796,1045,1004,1001,834,833,832,831,1038,567,1027,1026,1024,1023,1022,1021,1019,1018,1017,1015,1014,1011,702,933])).
% 5.27/5.15 cnf(2469,plain,
% 5.27/5.15 (P9(f11(f3(a28),f3(a28),a28),f3(a28),a28)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,206,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,239,241,244,246,248,249,250,253,256,257,258,259,260,262,263,265,267,270,272,274,275,278,280,296,297,339,340,342,282,283,318,345,320,302,299,300,343,344,285,294,346,1168,1246,310,304,305,298,328,317,331,1165,1551,332,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69,68,67,731,657,655,653,648,579,568,550,479,405,1000,876,826,825,816,815,778,776,768,766,687,667,666,665,664,663,662,661,594,593,592,586,584,583,582,581,515,514,480,476,428,422,698,684,683,682,681,569,552,551,485,417,507,1118,1117,1035,905,903,901,898,835,783,782,741,730,728,724,705,704,416,791,790,789,787,781,710,693,692,691,690,534,794,793,792,788,786,564,563,562,812,799,535,1087,1086,1037,1032,756,577,1082,1116,1115,1085,1084,1062,998,997,813,951,950,1128,1126,1125,1123,1110,1109,706,596,557,556,528,938,937,936,935,888,885,884,881,878,685,523,1030,496,798,796,1045,1004,1001,834,833,832,831,1038,567,1027,1026,1024,1023,1022,1021,1019,1018,1017,1015,1014,1011,702,933,932])).
% 5.27/5.15 cnf(2477,plain,
% 5.27/5.15 (P10(f11(f9(f3(a1),f35(x24771,x24772),a1),f35(x24771,x24772),a1),f3(a1),a1)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,206,207,208,209,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,239,241,244,246,248,249,250,253,256,257,258,259,260,262,263,265,267,270,272,274,275,278,280,296,297,339,340,342,282,283,318,345,320,302,299,300,343,344,285,294,346,1168,1246,310,304,305,298,328,317,331,1165,1551,332,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69,68,67,731,657,655,653,648,579,568,550,479,405,1000,876,826,825,816,815,778,776,768,766,687,667,666,665,664,663,662,661,594,593,592,586,584,583,582,581,515,514,480,476,428,422,698,684,683,682,681,569,552,551,485,417,507,1118,1117,1035,905,903,901,898,835,783,782,741,730,728,724,705,704,416,791,790,789,787,781,710,693,692,691,690,534,794,793,792,788,786,564,563,562,812,799,535,1087,1086,1037,1032,756,577,1082,1116,1115,1085,1084,1062,998,997,813,951,950,1128,1126,1125,1123,1110,1109,706,596,557,556,528,938,937,936,935,888,885,884,881,878,685,523,1030,496,798,796,1045,1004,1001,834,833,832,831,1038,567,1027,1026,1024,1023,1022,1021,1019,1018,1017,1015,1014,1011,702,933,932,929,927,926,925])).
% 5.27/5.15 cnf(2491,plain,
% 5.27/5.15 (P9(f3(a28),f11(f3(a28),f3(a28),a28),a28)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,206,207,208,209,210,211,212,213,215,216,217,218,220,222,223,225,226,227,228,229,230,232,234,235,236,238,239,241,244,246,248,249,250,253,256,257,258,259,260,262,263,265,267,270,272,274,275,278,280,296,297,339,340,342,282,283,318,345,320,302,299,300,343,344,285,294,346,1168,1246,310,304,305,298,328,317,331,1165,1551,332,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69,68,67,731,657,655,653,648,579,568,550,479,405,1000,876,826,825,816,815,778,776,768,766,687,667,666,665,664,663,662,661,594,593,592,586,584,583,582,581,515,514,480,476,428,422,698,684,683,682,681,569,552,551,485,417,507,1118,1117,1035,905,903,901,898,835,783,782,741,730,728,724,705,704,416,791,790,789,787,781,710,693,692,691,690,534,794,793,792,788,786,564,563,562,812,799,535,1087,1086,1037,1032,756,577,1082,1116,1115,1085,1084,1062,998,997,813,951,950,1128,1126,1125,1123,1110,1109,706,596,557,556,528,938,937,936,935,888,885,884,881,878,685,523,1030,496,798,796,1045,1004,1001,834,833,832,831,1038,567,1027,1026,1024,1023,1022,1021,1019,1018,1017,1015,1014,1011,702,933,932,929,927,926,925,923,922,921,920,919,918,917])).
% 5.27/5.15 cnf(2539,plain,
% 5.27/5.15 (~P9(f3(a1),f13(f10(f26(x25391,a1),a1)),a1)),
% 5.27/5.15 inference(scs_inference,[],[347,293,1141,1179,1181,1194,1197,1200,1203,1206,1209,1232,1304,1307,1333,1336,1364,1387,1392,1528,1531,1534,1546,1554,1557,1639,1758,1775,1780,1787,341,1146,1149,1154,1159,1162,1175,1177,1212,1215,1218,1221,1224,1227,1239,1249,1252,1255,1258,1261,1284,1289,1310,1313,1316,1319,1330,1339,1350,1353,1377,1380,1383,1386,1525,1543,146,147,148,149,150,151,152,153,154,155,156,157,159,160,161,162,163,164,165,166,167,169,172,173,175,178,180,181,184,186,187,188,190,192,194,195,196,197,199,200,202,204,205,206,207,208,209,210,211,212,213,215,216,217,218,220,221,222,223,224,225,226,227,228,229,230,232,234,235,236,237,238,239,241,244,246,248,249,250,253,256,257,258,259,260,262,263,265,267,270,272,274,275,278,280,296,297,339,340,342,282,283,318,345,320,302,299,300,343,344,285,294,346,1168,1246,310,304,305,298,328,317,331,1165,1551,332,2,566,520,505,651,617,616,615,511,461,348,620,619,625,802,512,839,75,74,72,71,3,660,659,580,548,508,830,828,824,822,820,818,774,773,772,770,764,762,688,804,696,695,694,415,1036,899,727,725,722,870,709,708,707,587,558,518,510,420,419,418,874,873,872,871,869,689,517,893,536,1029,1129,1127,1124,1122,750,747,675,602,686,521,892,1002,811,809,1060,1059,1058,1057,962,961,949,944,943,942,913,910,875,560,526,525,1064,1063,895,894,561,1093,437,643,641,639,638,637,636,565,445,441,440,439,430,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,670,669,631,606,605,491,406,672,671,629,628,622,613,611,609,608,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,891,814,795,757,720,719,701,678,677,668,652,647,646,645,644,624,591,590,589,588,576,559,545,544,543,542,541,540,538,532,530,529,513,506,489,488,478,477,460,459,458,457,455,454,453,451,450,449,448,447,446,444,443,431,426,421,409,408,404,351,350,954,953,939,805,797,785,623,1113,1070,1069,784,627,1102,1007,963,838,837,803,739,737,736,735,734,732,711,700,699,676,626,578,575,573,571,519,501,500,497,495,494,493,492,487,486,484,482,481,474,473,472,470,469,466,465,463,462,434,433,432,414,413,412,411,801,800,1114,1103,1083,1044,1043,1042,1041,1040,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,849,848,847,846,845,844,843,842,760,759,742,718,716,714,713,712,703,635,634,633,632,533,509,1112,1111,1053,1049,1048,1047,1046,1006,1005,999,996,995,994,993,992,991,990,989,988,986,985,984,982,978,977,976,975,973,971,969,890,889,808,758,746,745,744,743,1104,1099,1068,1056,1055,1054,1120,1108,964,877,1130,1121,1101,841,1131,1132,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,102,101,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,73,70,69,68,67,731,657,655,653,648,579,568,550,479,405,1000,876,826,825,816,815,778,776,768,766,687,667,666,665,664,663,662,661,594,593,592,586,584,583,582,581,515,514,480,476,428,422,698,684,683,682,681,569,552,551,485,417,507,1118,1117,1035,905,903,901,898,835,783,782,741,730,728,724,705,704,416,791,790,789,787,781,710,693,692,691,690,534,794,793,792,788,786,564,563,562,812,799,535,1087,1086,1037,1032,756,577,1082,1116,1115,1085,1084,1062,998,997,813,951,950,1128,1126,1125,1123,1110,1109,706,596,557,556,528,938,937,936,935,888,885,884,881,878,685,523,1030,496,798,796,1045,1004,1001,834,833,832,831,1038,567,1027,1026,1024,1023,1022,1021,1019,1018,1017,1015,1014,1011,702,933,932,929,927,926,925,923,922,921,920,919,918,917,916,915,914,912,911,909,906,1098,1097,897,896,1107,1050,807,806,956,955,1094,504,503,438,618,349,621])).
% 5.27/5.15 cnf(2649,plain,
% 5.27/5.15 (P9(x26491,x26491,a1)),
% 5.27/5.15 inference(rename_variables,[],[293])).
% 5.27/5.15 cnf(2650,plain,
% 5.27/5.15 (P9(x26501,f13(f12(f11(x26501,x26501,a1),f11(x26502,x26502,a1),a1)),a1)),
% 5.27/5.15 inference(rename_variables,[],[331])).
% 5.27/5.15 cnf(2680,plain,
% 5.27/5.15 ($false),
% 5.27/5.15 inference(scs_inference,[],[347,158,336,338,293,2649,341,331,2650,299,270,317,188,169,166,187,159,2233,1701,1325,2469,2437,2467,2116,2138,2150,1645,2289,1442,2491,2539,1647,2477,1540,1699,2084,630,604,603,1072,1025,1016,1039,946,940,1105,1088,1009,1008,490,436,435,642,640,1003,1081,1080,1028,622,802,512,731]),
% 5.27/5.15 ['proof']).
% 5.27/5.15 % SZS output end Proof
% 5.27/5.15 % Total time :4.180000s
%------------------------------------------------------------------------------