TSTP Solution File: SWV690-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV690-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 : Thu Aug 31 21:34:54 EDT 2023
% Result : Unsatisfiable 0.86s 0.92s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV690-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 08:35:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.63/0.87 %-------------------------------------------
% 0.63/0.87 % File :CSE---1.6
% 0.63/0.87 % Problem :theBenchmark
% 0.63/0.87 % Transform :cnf
% 0.63/0.87 % Format :tptp:raw
% 0.63/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.63/0.87
% 0.63/0.87 % Result :Theorem 0.030000s
% 0.63/0.87 % Output :CNFRefutation 0.030000s
% 0.63/0.87 %-------------------------------------------
% 0.63/0.88 %------------------------------------------------------------------------------
% 0.63/0.88 % File : SWV690-1 : TPTP v8.1.2. Released v4.1.0.
% 0.63/0.88 % Domain : Software Verification
% 0.63/0.88 % Problem : Fast Fourier Transform 436_45
% 0.63/0.88 % Version : Especial.
% 0.63/0.88 % English : Formalization of a functional implementation of the FFT algorithm
% 0.63/0.88 % over the complex numbers, and its inverse. Both are shown
% 0.63/0.88 % equivalent to the usual definitions of these operations through
% 0.63/0.88 % Vandermonde matrices. They are also shown to be inverse to each
% 0.63/0.88 % other, more precisely, that composition of the inverse and the
% 0.63/0.88 % transformation yield the identity up to a scalar.
% 0.63/0.88
% 0.63/0.88 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.63/0.88 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.63/0.88 % Source : [Nip10]
% 0.63/0.88 % Names : FFT-436_45 [Nip10]
% 0.63/0.88
% 0.63/0.88 % Status : Unsatisfiable
% 0.63/0.88 % Rating : 0.05 v7.4.0, 0.06 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, 0.00 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0
% 0.63/0.88 % Syntax : Number of clauses : 799 ( 131 unt; 102 nHn; 494 RR)
% 0.63/0.88 % Number of literals : 2058 ( 429 equ;1183 neg)
% 0.63/0.88 % Maximal clause size : 6 ( 2 avg)
% 0.63/0.88 % Maximal term depth : 6 ( 1 avg)
% 0.63/0.88 % Number of predicates : 57 ( 56 usr; 0 prp; 1-3 aty)
% 0.63/0.88 % Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% 0.63/0.88 % Number of variables : 2226 ( 143 sgn)
% 0.63/0.88 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.63/0.88
% 0.63/0.88 % Comments :
% 0.63/0.88 %------------------------------------------------------------------------------
% 0.63/0.88 cnf(cls_mult__pos__pos_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.88 | ~ 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.88 | ~ 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_mult__Suc_0,axiom,
% 0.63/0.88 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_mult__Suc__right_0,axiom,
% 0.63/0.88 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.88 | ~ 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd__1__iff__1_1,axiom,
% 0.63/0.88 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__neg__nonpos_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__nonpos__neg_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.88 | 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_diff__add__assoc2_0,axiom,
% 0.63/0.88 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 0.63/0.88 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_diff__add__assoc_0,axiom,
% 0.63/0.88 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.63/0.88 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.88 | 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.88 | 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.88 | 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_abs__le__zero__iff_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.63/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.88 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_min__max_Oinf__idem_0,axiom,
% 0.63/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.63/0.88 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_estimate__by__abs_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.63/0.88 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 0.63/0.88 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_le__0__eq_0,axiom,
% 0.63/0.88 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.88 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_order__antisym_0,axiom,
% 0.63/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.63/0.88 | V_x = V_y
% 0.63/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.63/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_order__eq__iff_2,axiom,
% 0.63/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.63/0.88 | V_x = V_y
% 0.63/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.63/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Oneq__le__trans_0,axiom,
% 0.63/0.88 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)
% 0.63/0.88 | V_a = V_b ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Ole__neq__trans_0,axiom,
% 0.63/0.88 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 0.63/0.88 | V_a = V_b
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Oantisym__conv_0,axiom,
% 0.63/0.88 ( V_x = V_y
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd__antisym_0,axiom,
% 0.63/0.88 ( V_m = V_n
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Oless__le_0,axiom,
% 0.63/0.88 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.63/0.88 | V_x = V_y
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Oantisym_0,axiom,
% 0.63/0.88 ( V_x = V_y
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_le__antisym_0,axiom,
% 0.63/0.88 ( V_m = V_n
% 0.63/0.88 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.63/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Oeq__iff_2,axiom,
% 0.63/0.88 ( V_x = V_y
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_order__antisym__conv_0,axiom,
% 0.63/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.63/0.88 | V_x = V_y
% 0.63/0.88 | ~ c_lessequals(V_x,V_y,T_a)
% 0.63/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_abs__of__nonneg_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.63/0.88 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.63/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Oorder__trans_0,axiom,
% 0.63/0.88 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Oless__trans_0,axiom,
% 0.63/0.88 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.63/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.63/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd__pos__nat_0,axiom,
% 0.63/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.63/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd_Oeq__iff_0,axiom,
% 0.63/0.88 c_Ring__and__Field_Odvd__class_Odvd(V_x,V_x,tc_nat) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd__refl_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd__trans_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.63/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 0.63/0.88 ( c_HOL_Ominus__class_Ominus(V_m,c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_Suc(V_j),tc_nat)
% 0.63/0.88 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_nat__mult__dvd__cancel__disj_1,axiom,
% 0.63/0.88 c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.63/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.63/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 0.63/0.88 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 0.63/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 0.63/0.88 ( c_lessequals(V_m,V_n,tc_nat)
% 0.63/0.88 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__le__mono1_0,axiom,
% 0.63/0.88 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 0.63/0.88 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__left__mono_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__right__mono_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__le__cancel__left_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.63/0.88 | c_lessequals(V_a,V_b,T_a)
% 0.63/0.88 | ~ 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__le__cancel__left_1,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__le__cancel__right_0,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.63/0.88 | c_lessequals(V_a,V_b,T_a)
% 0.63/0.88 | ~ 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_add__le__cancel__right_1,axiom,
% 0.63/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_abs__mult_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.63/0.88 | 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) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_abs__eq__mult_0,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_abs__eq__mult_1,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.88
% 0.63/0.88 cnf(cls_abs__eq__mult_2,axiom,
% 0.63/0.88 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.63/0.88 | 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)
% 0.63/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_abs__eq__mult_3,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__left__idem_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_even__nat__equiv__def_1,axiom,
% 0.63/0.89 ( c_Divides_Odiv__class_Omod(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.89 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_even__nat__equiv__def_0,axiom,
% 0.63/0.89 ( c_Divides_Odiv__class_Omod(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.89 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mod__add__self1_0,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mod__add__self2_0,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__le__0__iff_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__le__0__iff_1,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__le__0__iff_2,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__le__0__iff_3,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__neg__pos_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__pos__neg_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__pos__neg2_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__neg__neg_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.63/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.63/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_even__less__0__iff_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.63/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_even__less__0__iff_1,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.63/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_no__zero__divisors_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.63/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.63/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__is__0_0,axiom,
% 0.63/0.89 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__eq__add__iff2_0,axiom,
% 0.63/0.89 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.63/0.89 | V_m = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__eq__add__iff1_0,axiom,
% 0.63/0.89 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_j,V_i,tc_nat)
% 0.63/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat) = V_n ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_even__nat__equiv__def2_1,axiom,
% 0.63/0.89 c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),V_xa,tc_nat),tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_le__mod__geq_0,axiom,
% 0.63/0.89 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.63/0.89 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.63/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.63/0.89 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.63/0.89 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__is__0_0,axiom,
% 0.63/0.89 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.89 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__is__0_1,axiom,
% 0.63/0.89 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_double__eq__0__iff_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.63/0.89 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_min__0L_0,axiom,
% 0.63/0.89 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_min__0R_0,axiom,
% 0.63/0.89 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__eq__add__iff1_1,axiom,
% 0.63/0.89 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 0.63/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.63/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.63/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.63/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.63/0.89 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.63/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.63/0.89 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 0.63/0.89 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__eq__self__zero_0,axiom,
% 0.63/0.89 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 0.63/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.63/0.89 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.63/0.89 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.63/0.89 | V_m = V_n ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mod__le__divisor_0,axiom,
% 0.63/0.89 ( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.63/0.89 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.63/0.89 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.63/0.89 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.63/0.89 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_Suc__diff__le_0,axiom,
% 0.63/0.89 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))
% 0.63/0.89 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__mod__iff_1,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__mod__iff_0,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__mod_0,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_le__add__iff2_1,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_le__add__iff2_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_le__add__iff1_1,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_le__add__iff1_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_Suc__leI_0,axiom,
% 0.63/0.89 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_Suc__le__eq_0,axiom,
% 0.63/0.89 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.63/0.89 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_less__eq__Suc__le_0,axiom,
% 0.63/0.89 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_less__eq__Suc__le_1,axiom,
% 0.63/0.89 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.63/0.89 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__increasing2_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.63/0.89 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.63/0.89 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(V_b,V_a,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__increasing_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.63/0.89 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.63/0.89 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(V_b,V_c,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_le__diff__conv2_0,axiom,
% 0.63/0.89 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_le__diff__conv2_1,axiom,
% 0.63/0.89 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_less__add__Suc1_0,axiom,
% 0.63/0.89 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_less__add__Suc2_0,axiom,
% 0.63/0.89 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.63/0.89 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__less__add__iff2_1,axiom,
% 0.63/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__less__add__iff2_0,axiom,
% 0.63/0.89 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__less__add__iff1_1,axiom,
% 0.63/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__less__add__iff1_0,axiom,
% 0.63/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_eq__add__iff2_1,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.63/0.89 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.63/0.89 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_abs__le__mult_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_abs__le__D1_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.63/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__strict__mono_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 0.63/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.63/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(V_x,V_z,T_a)
% 0.63/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 0.63/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.63/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(V_x,V_z,T_a)
% 0.63/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_min__max_Ole__infI_0,axiom,
% 0.63/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.63/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(V_x,V_b,T_a)
% 0.63/0.89 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_min__max_Oinf__le2_0,axiom,
% 0.63/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.63/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_min__max_Oinf__le1_0,axiom,
% 0.63/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.63/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 0.63/0.89 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(V_j),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__triv__right_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__triv__left_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvdI_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__is__1_4,axiom,
% 0.63/0.89 c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_of__nat__le__iff_1,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.63/0.89 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_of__nat__le__iff_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.63/0.89 | c_lessequals(V_m,V_n,tc_nat)
% 0.63/0.89 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mod__0_0,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.63/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.63/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.63/0.89 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.63/0.89 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_less__Suc0_0,axiom,
% 0.63/0.89 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_abs__triangle__ineq3_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 0.63/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_abs__mult__less_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.63/0.89 | 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)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mod__Suc_1,axiom,
% 0.63/0.89 ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 0.63/0.89 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__le__cancel1_1,axiom,
% 0.63/0.89 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.63/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__le__cancel2_1,axiom,
% 0.63/0.89 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.63/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_add__is__0_2,axiom,
% 0.63/0.89 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_double__eq__0__iff_1,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_nat__mult__commute_0,axiom,
% 0.63/0.89 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mod__add__eq_0,axiom,
% 0.63/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_abs__eq__0_1,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.63/0.89 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.63/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | 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) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__mult_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__mult2_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__mult__left_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_dvd__mult__right_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.63/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_pos__add__strict_0,axiom,
% 0.63/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.63/0.89 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__cancel2_1,axiom,
% 0.63/0.89 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__cancel1_1,axiom,
% 0.63/0.89 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mod__lemma_0,axiom,
% 0.63/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Omod(V_q,V_c,tc_nat),tc_nat),V_r,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(V_r,V_b,tc_nat)
% 0.63/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_c,tc_nat) ) ).
% 0.63/0.89
% 0.63/0.89 cnf(cls_mult__mono1_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__left__mono_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__right__mono_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 0.63/0.90 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat),tc_nat)
% 0.63/0.90 | V_c = V_d
% 0.63/0.90 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.63/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | V_c = V_d
% 0.63/0.90 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_n__not__Suc__n_0,axiom,
% 0.63/0.90 V_n != c_Suc(V_n) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_Suc__n__not__n_0,axiom,
% 0.63/0.90 c_Suc(V_n) != V_n ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__idem_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.63/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__cancel2_2,axiom,
% 0.63/0.90 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__cancel1_2,axiom,
% 0.63/0.90 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__mono2_0,axiom,
% 0.63/0.90 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__mono1_0,axiom,
% 0.63/0.90 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_Suc__mult__cancel1_0,axiom,
% 0.63/0.90 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat)
% 0.63/0.90 | V_m = V_n ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_of__nat__add_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.63/0.90 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.63/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.63/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_inf__period_I4_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.63/0.90 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.63/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.63/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.63/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_inf__period_I4_J_1,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.63/0.90 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.63/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.63/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.63/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__is__1_2,axiom,
% 0.63/0.90 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.63/0.90 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__is__1_1,axiom,
% 0.63/0.90 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.63/0.90 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.63/0.90 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_split__mult__pos__le_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_split__mult__pos__le_1,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__le__square_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_abs__triangle__ineq2_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__mult__assoc_0,axiom,
% 0.63/0.90 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__right_Oadd_0,axiom,
% 0.63/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult_Oadd__right_0,axiom,
% 0.63/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__left_Oadd_0,axiom,
% 0.63/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult_Oadd__left_0,axiom,
% 0.63/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__mult__distrib2_0,axiom,
% 0.63/0.90 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__mult__distrib_0,axiom,
% 0.63/0.90 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__gr__0_2,axiom,
% 0.63/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__gr__0_1,axiom,
% 0.63/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.63/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__mono_0,axiom,
% 0.63/0.90 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_l,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_le__cube_0,axiom,
% 0.63/0.90 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__mono_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.63/0.90 | ~ c_lessequals(V_c,V_d,T_a)
% 0.63/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__mono_H_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.63/0.90 | ~ c_lessequals(V_c,V_d,T_a)
% 0.63/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_even__sum__nat_3,axiom,
% 0.63/0.90 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_even__sum__nat_2,axiom,
% 0.63/0.90 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_even__sum__nat_1,axiom,
% 0.63/0.90 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_even__sum__nat_0,axiom,
% 0.63/0.90 ( ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_even__add_3,axiom,
% 0.63/0.90 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_even__add_2,axiom,
% 0.63/0.90 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_even__add_1,axiom,
% 0.63/0.90 ( c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_even__add_0,axiom,
% 0.63/0.90 ( c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_odd__add_3,axiom,
% 0.63/0.90 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_odd__add_2,axiom,
% 0.63/0.90 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_odd__add_1,axiom,
% 0.63/0.90 ( c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_odd__add_0,axiom,
% 0.63/0.90 ( ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_le__SucE_0,axiom,
% 0.63/0.90 ( V_m = c_Suc(V_n)
% 0.63/0.90 | c_lessequals(V_m,V_n,tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_dvd__add_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.63/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.63/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_odd__nat__equiv__def_1,axiom,
% 0.63/0.90 ( c_Divides_Odiv__class_Omod(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.63/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_odd__nat__equiv__def_0,axiom,
% 0.63/0.90 ( c_Divides_Odiv__class_Omod(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.63/0.90 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_abs__of__nat_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.63/0.90 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) = c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_min__add__distrib__left_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.63/0.90 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 0.63/0.90 | V_m = V_n ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.63/0.90 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.63/0.90 | V_m = V_n ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.63/0.90 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 0.63/0.90 | V_y = V_z ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.63/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.63/0.90 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.63/0.90 | V_y = V_z ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__imp__eq_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.63/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.63/0.90 | V_b = V_c ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__left__cancel_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.63/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.63/0.90 | V_b = V_c ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__right__cancel_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.63/0.90 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.63/0.90 | V_b = V_c ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_not__square__less__zero_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__cancel__21_1,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__add__assoc_0,axiom,
% 0.63/0.90 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__add__left__commute_0,axiom,
% 0.63/0.90 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__gr__0_0,axiom,
% 0.63/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.63/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_dvd__1__left_0,axiom,
% 0.63/0.90 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_abs__triangle__ineq_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 0.63/0.90 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 0.63/0.90 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__leE_0,axiom,
% 0.63/0.90 ( c_lessequals(V_m,V_n,tc_nat)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__leE_1,axiom,
% 0.63/0.90 ( c_lessequals(V_k,V_n,tc_nat)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_trans__le__add1_0,axiom,
% 0.63/0.90 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_trans__le__add2_0,axiom,
% 0.63/0.90 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_odd__nat__equiv__def2_1,axiom,
% 0.63/0.90 ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(c_HOL_Otimes__class_Otimes(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),V_xa,tc_nat)),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mod__add__right__eq_0,axiom,
% 0.63/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mod__add__left__eq_0,axiom,
% 0.63/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.63/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__strict__increasing2_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.63/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.63/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_diff__add__0_0,axiom,
% 0.63/0.90 c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 0.63/0.90 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.63/0.90 | V_m = V_n ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__less__cancel1_0,axiom,
% 0.63/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__less__cancel2_0,axiom,
% 0.63/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.90 | c_lessequals(V_a,V_b,T_a)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.63/0.90 | c_lessequals(V_a,V_b,T_a)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(V_a,V_b,T_a)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(V_a,V_b,T_a)
% 0.63/0.90 | ~ 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)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_lessequals(V_b,V_a,T_a)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | c_lessequals(V_b,V_a,T_a)
% 0.63/0.90 | ~ 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)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 0.63/0.90 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 0.63/0.90 ( c_lessequals(V_m,V_n,tc_nat)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__cancel1_0,axiom,
% 0.63/0.90 ( c_lessequals(V_m,V_n,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult__le__cancel2_0,axiom,
% 0.63/0.90 ( c_lessequals(V_m,V_n,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.63/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__lt__two__imp__zero__or__one_0,axiom,
% 0.63/0.90 ( V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.63/0.90 | V_x = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 0.63/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.63/0.90 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_zero__less__Suc_0,axiom,
% 0.63/0.90 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_min__max_Oinf__commute_0,axiom,
% 0.63/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.63/0.90 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_combine__common__factor_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.63/0.90 | 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_left__add__mult__distrib_0,axiom,
% 0.63/0.90 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_k,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_u,tc_nat),V_k,tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 0.63/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 0.63/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_add__neg__neg_0,axiom,
% 0.63/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.63/0.90 | 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)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.63/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.63/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.63/0.90 | ~ 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) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_le0_0,axiom,
% 0.63/0.90 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 0.63/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.63/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.63/0.90
% 0.63/0.90 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 0.86/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_not__less__eq__eq_0,axiom,
% 0.86/0.90 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.86/0.90 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_not__less__eq__eq_1,axiom,
% 0.86/0.90 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 0.86/0.90 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_odd__pos_0,axiom,
% 0.86/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.86/0.90 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__less__eq__dividend_0,axiom,
% 0.86/0.90 c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_le__add__diff_0,axiom,
% 0.86/0.90 ( c_lessequals(V_m,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_k,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__Suc_0,axiom,
% 0.86/0.90 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 0.86/0.90 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_abs__of__pos_0,axiom,
% 0.86/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__mult__right__eq_0,axiom,
% 0.86/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__mult__left__eq_0,axiom,
% 0.86/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_add__is__1_0,axiom,
% 0.86/0.90 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/0.90 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.90 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_add__is__1_3,axiom,
% 0.86/0.90 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/0.90 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 0.86/0.90 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 0.86/0.90 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_le__Suc__eq_2,axiom,
% 0.86/0.90 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_even__Suc_0,axiom,
% 0.86/0.90 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.86/0.90 | ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(V_x),tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_even__Suc_1,axiom,
% 0.86/0.90 ( c_Parity_Oeven__odd__class_Oeven(c_Suc(V_x),tc_nat)
% 0.86/0.90 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_dvd__1__iff__1_0,axiom,
% 0.86/0.90 ( V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_le__square_0,axiom,
% 0.86/0.90 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_min__Suc__Suc_0,axiom,
% 0.86/0.90 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__mult__distrib_0,axiom,
% 0.86/0.90 c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_k,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__mult__distrib2_0,axiom,
% 0.86/0.90 c_HOL_Otimes__class_Otimes(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.90 | ~ 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.90 | ~ 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)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 0.86/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 0.86/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__mono1_0,axiom,
% 0.86/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__mono2_0,axiom,
% 0.86/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel1_2,axiom,
% 0.86/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mult__less__cancel2_2,axiom,
% 0.86/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__mult__self2_0,axiom,
% 0.86/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__mult__self1_0,axiom,
% 0.86/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_mod__mult__self3_0,axiom,
% 0.86/0.90 c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),V_m,tc_nat),V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.86/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 0.86/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.86/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_nat__mult__dvd__cancel__disj_0,axiom,
% 0.86/0.90 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.86/0.90 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.86/0.90
% 0.86/0.90 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__le__0__iff_4,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__le__0__iff_5,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_split__mult__neg__le_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_split__mult__neg__le_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__le__zero__iff_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__nonneg__pos_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__pos__nonneg_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__imp__mod__0_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__0__left_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_of__nat__0_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.86/0.91 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__less__mult_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__Suc__shift_0,axiom,
% 0.86/0.91 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__is__add_3,axiom,
% 0.86/0.91 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.86/0.91 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__is__add_0,axiom,
% 0.86/0.91 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.86/0.91 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.91 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__is__add_5,axiom,
% 0.86/0.91 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd_Oless__trans_1,axiom,
% 0.86/0.91 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__less__divisor_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 0.86/0.91 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 0.86/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__cancel__21_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__le__mult__iff_1,axiom,
% 0.86/0.91 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__le__mult__iff_0,axiom,
% 0.86/0.91 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__Suc__eq__le_1,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__Suc__eq__le_0,axiom,
% 0.86/0.91 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__less__Suc__eq_1,axiom,
% 0.86/0.91 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__le__mono_0,axiom,
% 0.86/0.91 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__mono_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_lessequals(V_c,V_d,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__diff__add__eq1_0,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__diff__add__eq2_0,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mod__trivial_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__strict__increasing_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_b,V_c,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__is__0__eq_1,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__is__0__eq_0,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.91 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__diffD1_0,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__diffD_0,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__add__iff1_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__mult__dvd__cancel__disj_2,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__idempotent_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__Suc_0,axiom,
% 0.86/0.91 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__Suc__right_0,axiom,
% 0.86/0.91 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__add__iff1_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | 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 ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__add__iff2_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_zero__less__abs__iff_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.86/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__product__nat_2,axiom,
% 0.86/0.91 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__product__nat_1,axiom,
% 0.86/0.91 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__by__0_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__self_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__add__commute_0,axiom,
% 0.86/0.91 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mult__eq_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__cancel2_0,axiom,
% 0.86/0.91 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 0.86/0.91 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.91 | V_m = V_n ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__cancel1_0,axiom,
% 0.86/0.91 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.86/0.91 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.91 | V_m = V_n ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 0.86/0.91 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.86/0.91 | V_m = V_n
% 0.86/0.91 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Ole__infE_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_a,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Ole__infE_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_b,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Ole__infI1_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Ole__infI2_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.86/0.91 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__le__iff__disj_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__le__iff__disj_2,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.86/0.91 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_z,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat_Oinject_0,axiom,
% 0.86/0.91 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.86/0.91 | V_nat = V_nat_H ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__inject_0,axiom,
% 0.86/0.91 ( c_Suc(V_x) != c_Suc(V_y)
% 0.86/0.91 | V_x = V_y ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__ge__self_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__le__iff__disj_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(V_y,V_z,T_a)
% 0.86/0.91 | c_lessequals(V_x,V_z,T_a)
% 0.86/0.91 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__eq__add__iff2_1,axiom,
% 0.86/0.91 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__add__cong_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__Suc0_1,axiom,
% 0.86/0.91 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__is__add_2,axiom,
% 0.86/0.91 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.86/0.91 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__is__add_1,axiom,
% 0.86/0.91 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.86/0.91 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/0.91 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__diff__conv_1,axiom,
% 0.86/0.91 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__diff__conv_0,axiom,
% 0.86/0.91 ( c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__zero__nat_0,axiom,
% 0.86/0.91 c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__le__add__iff1_0,axiom,
% 0.86/0.91 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__le__add__iff1_1,axiom,
% 0.86/0.91 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__le__add__iff2_0,axiom,
% 0.86/0.91 ( c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__le__add__iff2_1,axiom,
% 0.86/0.91 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_of__nat__mult_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.86/0.91 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mult__self4_0,axiom,
% 0.86/0.91 c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),V_m,tc_nat)),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat)
% 0.86/0.91 | V_c = V_d
% 0.86/0.91 | V_a = V_b ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 0.86/0.91 | V_y = V_z
% 0.86/0.91 | V_w = V_x ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | V_c = V_d
% 0.86/0.91 | V_a = V_b ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | V_y = V_z
% 0.86/0.91 | V_w = V_x ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__mult__self_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mult__cong_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__0__left_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.86/0.91 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.86/0.91 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.86/0.91 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.86/0.91 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__less__le__mono_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_lessequals(V_c,V_d,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__le__less__mono_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd_Ole__less__trans_1,axiom,
% 0.86/0.91 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd_Oless__le__trans_1,axiom,
% 0.86/0.91 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_xt1_I7_J_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.86/0.91 | ~ c_lessequals(V_z,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_xt1_I8_J_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.86/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__less__le__trans_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.86/0.91 | ~ c_lessequals(V_y,V_z,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__le__less__trans_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__strict__right__mono_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__less__cancel__right_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__less__cancel__right_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__strict__left__mono_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__less__cancel__left_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__less__cancel__left_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__less__imp__le_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__le__less_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__strict__mono_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__le__not__le_2,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | c_lessequals(V_y,V_x,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__less__iff__disj_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__less__iff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_xt1_I11_J_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.91 | V_a = V_b
% 0.86/0.91 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_xt1_I12_J_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.91 | ~ c_lessequals(V_b,V_a,T_a)
% 0.86/0.91 | V_a = V_b ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | V_x = V_y
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | V_x = V_y
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__neq__le__trans_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,V_b,T_a)
% 0.86/0.91 | V_a = V_b ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__le__neq__trans_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | V_a = V_b
% 0.86/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__le__less_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | V_x = V_y
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__less__le_2,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | V_x = V_y
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__less__iff__conj_2,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__le__not__le_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | ~ c_lessequals(V_y,V_x,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__leE_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,V_x,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.86/0.91 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__not__less_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__not__less_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(V_y,V_x,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__not__le_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.86/0.91 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__not__le_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__less__iff__disj_2,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__less__iff__disj_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__less__iff__conj_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__less__iff__conj_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Oless__infI2_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__max_Oless__infI1_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__diff__less__iff_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__add__iff2_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__add__iff2_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__add__iff1_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__add__iff1_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__diff__less__iff_2,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__diff__cong_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Oring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__diff__distrib__left_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Oring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Oring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__diff__eq_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Oring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__minus__commute_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__eqI_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.86/0.91 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.86/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__eqI_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.86/0.91 | c_lessequals(V_y,V_x,T_a)
% 0.86/0.91 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__diff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_right__minus__eq_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__0__right_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__self_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__add__cancel_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.86/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.91 | V_a = V_b ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_right__minus__eq_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.91 | V_a = V_b ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.91 | V_x = V_y ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__right_Odiff_0,axiom,
% 0.86/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult_Odiff__right_0,axiom,
% 0.86/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult_Odiff__left_0,axiom,
% 0.86/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__left_Odiff_0,axiom,
% 0.86/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__diff__cancel_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__less__mono1_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__add__less1_0,axiom,
% 0.86/0.91 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__add__less2_0,axiom,
% 0.86/0.91 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_neq0__conv_1,axiom,
% 0.86/0.91 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_gr0I_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.86/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 0.86/0.91 ( c_lessequals(V_x,V_y,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__less__le_0,axiom,
% 0.86/0.91 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__less__mono_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__SucE_0,axiom,
% 0.86/0.91 ( V_m = V_n
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__antisym_0,axiom,
% 0.86/0.91 ( V_m = V_n
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.86/0.91 ( V_n = V_m
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_gcd__lcm__complete__lattice__nat_Otop__greatest_0,axiom,
% 0.86/0.91 c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__0__right_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__eq__1__iff_2,axiom,
% 0.86/0.91 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__left_Ozero_0,axiom,
% 0.86/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult_Ozero__left_0,axiom,
% 0.86/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__is__0_2,axiom,
% 0.86/0.91 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__is__0_1,axiom,
% 0.86/0.91 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult_Ozero__right_0,axiom,
% 0.86/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__right_Ozero_0,axiom,
% 0.86/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__zero__left_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__zero__right_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.86/0.91 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__diff__right_0,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__1_0,axiom,
% 0.86/0.91 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__mult__pos_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__reduce_1,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__reduce_0,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__dvd__iff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__dvd__iff_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__abs__iff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__abs__iff_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__is__add_4,axiom,
% 0.86/0.91 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__imp__diff__is__add_1,axiom,
% 0.86/0.91 ( ~ c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat) = V_k ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__pos__pos_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__Suc__ex__iff_1,axiom,
% 0.86/0.91 c_lessequals(V_k,c_HOL_Oplus__class_Oplus(V_k,V_x,tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__iff__add_1,axiom,
% 0.86/0.91 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__add2_0,axiom,
% 0.86/0.91 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__add1_0,axiom,
% 0.86/0.91 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__dvd__not__less_0,axiom,
% 0.86/0.91 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | c_lessequals(V_a,V_b,T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.86/0.91 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.86/0.91 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__not__less__zero_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__add__diff__inverse2_0,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
% 0.86/0.91 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__add__diff__inverse_0,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 0.86/0.91 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__imp__diff__is__add_0,axiom,
% 0.86/0.91 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.86/0.91 | V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__mult__cancel_0,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__mult__dvd__cancel1_0,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__mult__dvd__cancel1_1,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__diff__assoc2_0,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__diff__assoc_0,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__mod__eq__iff_1,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_n,V_xa,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_y,c_HOL_Otimes__class_Otimes(V_n,V_xb,tc_nat),tc_nat)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(V_x,V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_y,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.86/0.91 | ~ c_lessequals(V_c,V_d,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__triangle__ineq4_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__SucI_0,axiom,
% 0.86/0.91 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__leD_0,axiom,
% 0.86/0.91 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_n__less__n__mult__m_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_n__less__m__mult__n_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__n__not__le__n_0,axiom,
% 0.86/0.91 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mod__cancel_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/0.91 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__if__lattice_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.86/0.91 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__if_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.86/0.91 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__dvd__mono_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__0__eq_1,axiom,
% 0.86/0.91 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__add__abs_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 0.86/0.91 c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__eq__0_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.86/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_zero__less__abs__iff_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_one__le__mult__iff_2,axiom,
% 0.86/0.91 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__eq__refl_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__eq__iff_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__imp__le_0,axiom,
% 0.86/0.91 c_lessequals(V_x,V_x,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__trans_0,axiom,
% 0.86/0.91 ( c_lessequals(V_i,V_k,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_j,V_k,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__refl_0,axiom,
% 0.86/0.91 c_lessequals(V_n,V_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__add__right__mono_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_c,V_d,T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__trans_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | c_lessequals(V_x,V_z,T_a)
% 0.86/0.91 | ~ c_lessequals(V_y,V_z,T_a)
% 0.86/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_xt1_I6_J_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_lessequals(V_z,V_x,T_a)
% 0.86/0.91 | ~ c_lessequals(V_z,V_y,T_a)
% 0.86/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__product__nat_0,axiom,
% 0.86/0.91 ( c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.86/0.91 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.86/0.91 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__is__1_5,axiom,
% 0.86/0.91 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__eq__0__iff_1,axiom,
% 0.86/0.91 c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_d,V_x,tc_nat),V_d,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__less__Suc__eq_0,axiom,
% 0.86/0.91 ( V_n = V_m
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mult__mult1_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__mult__mult2_0,axiom,
% 0.86/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__imp__le_0,axiom,
% 0.86/0.91 ( c_lessequals(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__ge__zero_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.86/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__le__mono_1,axiom,
% 0.86/0.91 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__le__mono_0,axiom,
% 0.86/0.91 ( c_lessequals(V_n,V_m,tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__if__abs__eq_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__linear_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_lessequals(V_y,V_x,T_a)
% 0.86/0.91 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd_Oless__le__trans_0,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd_Ole__less__trans_0,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 0.86/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__le__linear_0,axiom,
% 0.86/0.91 ( c_lessequals(V_n,V_m,tc_nat)
% 0.86/0.91 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__add__eq__less_0,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__less0_0,axiom,
% 0.86/0.91 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_gr__implies__not0_0,axiom,
% 0.86/0.91 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__less__eq_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__less__eq_1,axiom,
% 0.86/0.91 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__less__le_2,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | V_m = V_n
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__eq__less__or__eq_0,axiom,
% 0.86/0.91 ( V_m = V_n
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__neq__implies__less_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | V_m = V_n
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__lessD_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__SucI_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__cancel1_1,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mult__less__cancel2_1,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_lessI_0,axiom,
% 0.86/0.91 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__Suc__eq_2,axiom,
% 0.86/0.91 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__trans__Suc_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__if_0,axiom,
% 0.86/0.91 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__lessD1_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_trans__less__add1_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_trans__less__add2_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__lessI_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.86/0.91 | c_Suc(V_m) = V_n
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__mono_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__less__eq_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_of__nat__diff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.86/0.91 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.86/0.91 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__Suc__less_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__pred_0,axiom,
% 0.86/0.91 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__cancel_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__cancel2_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Suc__diff__diff_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__diff__cancel_0,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 0.86/0.91 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_min__diff_0,axiom,
% 0.86/0.91 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/0.91 | V_m = V_n ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_dvd__diff__nat_0,axiom,
% 0.86/0.91 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__self__eq__0_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__diff__iff_0,axiom,
% 0.86/0.91 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_le__diff__iff_1,axiom,
% 0.86/0.91 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__le__mono_0,axiom,
% 0.86/0.91 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__le__mono2_0,axiom,
% 0.86/0.91 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__diff__left_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__diff__iff_0,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_m,tc_nat)
% 0.86/0.91 | V_m = V_n ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__0__eq__0_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__difference__nat_4,axiom,
% 0.86/0.91 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat)
% 0.86/0.91 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.86/0.91 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__difference__nat_3,axiom,
% 0.86/0.91 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.86/0.91 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__le__self_0,axiom,
% 0.86/0.91 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__mult__distrib_0,axiom,
% 0.86/0.91 c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__mult__distrib2_0,axiom,
% 0.86/0.91 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 0.86/0.91 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__add__inverse_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__add__inverse2_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | 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)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_abs__diff__less__iff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 0.86/0.91 | ~ 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) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_of__nat__less__iff_1,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_of__nat__less__iff_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_add__diff__inverse_0,axiom,
% 0.86/0.91 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__less_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__difference__nat_1,axiom,
% 0.86/0.91 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.86/0.91 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.86/0.91 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__difference__nat_0,axiom,
% 0.86/0.91 ( ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.86/0.91 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.86/0.91 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__diff__conv_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__diff__conv_1,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__diff__iff_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__diff__iff_1,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__less__Suc_0,axiom,
% 0.86/0.91 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_zero__less__diff_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_zero__less__diff_1,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_mod__if_1,axiom,
% 0.86/0.91 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__less__mono_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_lessequals(V_c,V_a,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_even__difference__nat_2,axiom,
% 0.86/0.91 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_xt1_I9_J_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__less__asym_H_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__less__asym_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__less__irrefl_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__neq__iff_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__less__le_1,axiom,
% 0.86/0.91 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__not__refl_0,axiom,
% 0.86/0.91 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__less__le_1,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__imp__diff__less_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__less__mono2_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__eqI_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_less__eqI_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.86/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | V_x = V_y ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | V_x = V_y
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | V_x = V_y
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__less__linear_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.86/0.91 | V_x = V_y
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_nat__neq__iff_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/0.91 | V_m = V_n ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.86/0.91 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.86/0.91 | V_x = V_y ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_linorder__neqE_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/0.91 | V_x = V_y ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_i__diff_0,axiom,
% 0.86/0.91 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,V_k,tc_nat),v_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_assms_0,axiom,
% 0.86/0.91 c_HOL_Oord__class_Oless(v_i,v_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_xt1_I10_J_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Oorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_order__less__trans_0,axiom,
% 0.86/0.91 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/0.91 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.86/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__eqI_0,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.86/0.91 | V_x_H = V_y_H ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_eq__eqI_1,axiom,
% 0.86/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/0.91 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.86/0.91 | V_xa = V_y ) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_diff__commute_0,axiom,
% 0.86/0.91 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_conjecture_0,negated_conjecture,
% 0.86/0.91 c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(cls_conjecture_1,negated_conjecture,
% 0.86/0.91 ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,v_i,tc_nat),v_n,tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.86/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.86/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.86/0.91 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.86/0.91 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.86/0.91 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.86/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.86/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.86/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.86/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.86/0.91 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.86/0.91 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.86/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.86/0.91 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.86/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.86/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.86/0.91
% 0.86/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.86/0.91 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.86/0.91
% 0.86/0.92 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.86/0.92 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.86/0.92 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.86/0.92 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.86/0.92 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.86/0.92 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.86/0.92 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.86/0.92 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.86/0.92 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.86/0.92 class_Divides_Osemiring__div(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.86/0.92 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 0.86/0.92 class_Ring__and__Field_Odvd(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.86/0.92 class_Orderings_Opreorder(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.86/0.92 class_Orderings_Olinorder(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.86/0.92 class_Orderings_Oorder(tc_nat) ).
% 0.86/0.92
% 0.86/0.92 %------------------------------------------------------------------------------
% 0.86/0.92 %-------------------------------------------
% 0.86/0.92 % Proof found
% 0.86/0.92 % SZS status Theorem for theBenchmark
% 0.86/0.92 % SZS output start Proof
% 0.86/0.92 %ClaNum:886(EqnAxiom:87)
% 0.86/0.92 %VarNum:5220(SingletonVarNum:1832)
% 0.86/0.92 %MaxLitNum:6
% 0.86/0.92 %MaxfuncDepth:5
% 0.86/0.92 %SharedTerms:53
% 0.86/0.92 %goalClause: 120 215
% 0.86/0.92 %singleGoalClaCount:2
% 0.86/0.92 [88]P1(a1)
% 0.86/0.92 [89]P2(a1)
% 0.86/0.92 [90]P27(a1)
% 0.86/0.92 [91]P28(a1)
% 0.86/0.92 [92]P29(a1)
% 0.86/0.92 [93]P3(a1)
% 0.86/0.92 [94]P25(a1)
% 0.86/0.92 [95]P4(a1)
% 0.86/0.92 [96]P36(a1)
% 0.86/0.92 [97]P43(a1)
% 0.86/0.92 [98]P10(a1)
% 0.86/0.92 [99]P12(a1)
% 0.86/0.92 [100]P37(a1)
% 0.86/0.92 [101]P44(a1)
% 0.86/0.92 [102]P38(a1)
% 0.86/0.92 [103]P39(a1)
% 0.86/0.92 [104]P48(a1)
% 0.86/0.92 [105]P49(a1)
% 0.86/0.92 [106]P13(a1)
% 0.86/0.92 [107]P30(a1)
% 0.86/0.92 [108]P50(a1)
% 0.86/0.92 [109]P17(a1)
% 0.86/0.92 [110]P18(a1)
% 0.86/0.92 [111]P14(a1)
% 0.86/0.92 [112]P53(a1)
% 0.86/0.92 [113]P45(a1)
% 0.86/0.92 [114]P19(a1)
% 0.86/0.92 [115]P26(a1)
% 0.86/0.92 [116]P31(a1)
% 0.86/0.92 [117]P42(a1)
% 0.86/0.92 [119]P6(a11,a12,a1)
% 0.86/0.92 [120]P6(a13,a12,a1)
% 0.86/0.92 [118]P5(f2(a1),a1)
% 0.86/0.92 [215]~P6(f3(a13,a11,a1),a12,a1)
% 0.86/0.92 [151]E(f7(f10(f2(a1)),f10(f2(a1)),a1),f10(f2(a1)))
% 0.86/0.92 [121]P7(x1211,x1211,a1)
% 0.86/0.92 [123]P8(x1231,x1231,a1)
% 0.86/0.92 [210]~P6(x2101,x2101,a1)
% 0.86/0.92 [124]E(f3(x1241,x1241,a1),f2(a1))
% 0.86/0.92 [125]P7(x1251,f2(a1),a1)
% 0.86/0.92 [126]P8(f2(a1),x1261,a1)
% 0.86/0.92 [137]P6(x1371,f10(x1371),a1)
% 0.86/0.92 [141]P6(f2(a1),f10(x1411),a1)
% 0.86/0.92 [158]P6(f3(a11,x1581,a1),a12,a1)
% 0.86/0.92 [159]P8(x1591,f7(x1591,x1591,a1),a1)
% 0.86/0.92 [204]~E(f10(x2041),x2041)
% 0.86/0.92 [208]~E(f10(x2081),f2(a1))
% 0.86/0.92 [212]~P6(x2121,f2(a1),a1)
% 0.86/0.92 [213]~P8(f10(x2131),x2131,a1)
% 0.86/0.92 [128]E(f6(x1281,f2(a1),a1),x1281)
% 0.86/0.92 [129]E(f3(x1291,f2(a1),a1),x1291)
% 0.86/0.92 [130]E(f6(f2(a1),x1301,a1),x1301)
% 0.86/0.92 [131]E(f7(x1311,f2(a1),a1),f2(a1))
% 0.86/0.92 [132]E(f8(x1321,f2(a1),a1),f2(a1))
% 0.86/0.92 [133]E(f7(f2(a1),x1331,a1),f2(a1))
% 0.86/0.92 [134]E(f3(f2(a1),x1341,a1),f2(a1))
% 0.86/0.92 [135]E(f8(f2(a1),x1351,a1),f2(a1))
% 0.86/0.92 [143]P7(f10(f2(a1)),x1431,a1)
% 0.86/0.92 [190]P8(x1901,f7(x1901,f7(x1901,x1901,a1),a1),a1)
% 0.86/0.92 [144]E(f4(x1441,f10(f2(a1)),a1),f2(a1))
% 0.86/0.92 [174]P5(f7(f10(f10(f2(a1))),x1741,a1),a1)
% 0.86/0.92 [218]~P5(f10(f7(f10(f10(f2(a1))),x2181,a1)),a1)
% 0.86/0.92 [152]E(f7(x1521,x1522,a1),f7(x1522,x1521,a1))
% 0.86/0.92 [153]E(f6(x1531,x1532,a1),f6(x1532,x1531,a1))
% 0.86/0.92 [160]P8(x1601,f6(x1602,x1601,a1),a1)
% 0.86/0.92 [163]P8(x1631,f6(x1631,x1632,a1),a1)
% 0.86/0.92 [164]P8(f3(x1641,x1642,a1),x1641,a1)
% 0.86/0.92 [165]P8(f4(x1651,x1652,a1),x1651,a1)
% 0.86/0.92 [170]P6(f3(x1701,x1702,a1),f10(x1701),a1)
% 0.86/0.92 [216]~P6(f6(x2161,x2162,a1),x2162,a1)
% 0.86/0.92 [217]~P6(f6(x2171,x2172,a1),x2171,a1)
% 0.86/0.92 [154]E(f7(x1541,f2(a1),a1),f7(x1542,f2(a1),a1))
% 0.86/0.92 [155]E(f7(f2(a1),x1551,a1),f7(f2(a1),x1552,a1))
% 0.86/0.92 [156]E(f6(f10(x1561),x1562,a1),f6(x1561,f10(x1562),a1))
% 0.86/0.92 [157]E(f3(f10(x1571),f10(x1572),a1),f3(x1571,x1572,a1))
% 0.86/0.92 [166]E(f3(f6(x1661,x1662,a1),x1662,a1),x1661)
% 0.86/0.92 [167]E(f3(f6(x1671,x1672,a1),x1671,a1),x1672)
% 0.86/0.92 [168]E(f3(x1681,f6(x1681,x1682,a1),a1),f2(a1))
% 0.86/0.92 [169]E(f4(f7(x1691,x1692,a1),x1691,a1),f2(a1))
% 0.86/0.92 [171]E(f10(f6(x1711,x1712,a1)),f6(x1711,f10(x1712),a1))
% 0.86/0.92 [172]E(f10(f6(x1721,x1722,a1)),f6(f10(x1721),x1722,a1))
% 0.86/0.92 [173]E(f8(f10(x1731),f10(x1732),a1),f10(f8(x1731,x1732,a1)))
% 0.86/0.92 [175]E(f6(x1751,f7(x1751,x1752,a1),a1),f7(x1751,f10(x1752),a1))
% 0.86/0.92 [176]E(f6(x1761,f7(x1762,x1761,a1),a1),f7(f10(x1762),x1761,a1))
% 0.86/0.92 [177]P6(x1771,f10(f6(x1772,x1771,a1)),a1)
% 0.86/0.92 [179]P6(x1791,f10(f6(x1791,x1792,a1)),a1)
% 0.86/0.92 [180]P7(f7(f2(a1),x1801,a1),f7(f2(a1),x1802,a1),a1)
% 0.86/0.92 [188]E(f4(f10(f4(x1881,x1882,a1)),x1882,a1),f4(f10(x1881),x1882,a1))
% 0.86/0.92 [181]E(f6(x1811,f6(x1812,x1813,a1),a1),f6(x1812,f6(x1811,x1813,a1),a1))
% 0.86/0.92 [182]E(f7(f7(x1821,x1822,a1),x1823,a1),f7(x1821,f7(x1822,x1823,a1),a1))
% 0.86/0.92 [183]E(f6(f6(x1831,x1832,a1),x1833,a1),f6(x1831,f6(x1832,x1833,a1),a1))
% 0.86/0.92 [184]E(f3(f3(x1841,x1842,a1),x1843,a1),f3(x1841,f6(x1842,x1843,a1),a1))
% 0.86/0.92 [185]E(f3(f3(x1851,x1852,a1),x1853,a1),f3(f3(x1851,x1853,a1),x1852,a1))
% 0.86/0.92 [186]E(f3(f6(x1861,x1862,a1),f6(x1863,x1862,a1),a1),f3(x1861,x1863,a1))
% 0.86/0.92 [187]E(f3(f6(x1871,x1872,a1),f6(x1871,x1873,a1),a1),f3(x1872,x1873,a1))
% 0.86/0.92 [189]E(f3(f3(f10(x1891),x1892,a1),f10(x1893),a1),f3(f3(x1891,x1892,a1),x1893,a1))
% 0.86/0.92 [192]E(f6(f7(x1921,x1922,a1),f7(x1921,x1923,a1),a1),f7(x1921,f6(x1922,x1923,a1),a1))
% 0.86/0.92 [193]E(f3(f7(x1931,x1932,a1),f7(x1931,x1933,a1),a1),f7(x1931,f3(x1932,x1933,a1),a1))
% 0.86/0.92 [194]E(f4(f7(x1941,x1942,a1),f7(x1941,x1943,a1),a1),f7(x1941,f4(x1942,x1943,a1),a1))
% 0.86/0.92 [195]E(f6(f7(x1951,x1952,a1),f7(x1953,x1952,a1),a1),f7(f6(x1951,x1953,a1),x1952,a1))
% 0.86/0.92 [196]E(f3(f7(x1961,x1962,a1),f7(x1963,x1962,a1),a1),f7(f3(x1961,x1963,a1),x1962,a1))
% 0.86/0.92 [197]E(f4(f7(x1971,x1972,a1),f7(x1973,x1972,a1),a1),f7(f4(x1971,x1973,a1),x1972,a1))
% 0.86/0.92 [198]E(f8(f3(x1981,x1982,a1),f3(x1983,x1982,a1),a1),f3(f8(x1981,x1983,a1),x1982,a1))
% 0.86/0.92 [191]E(f4(f6(f7(x1911,x1912,a1),x1913,a1),x1912,a1),f4(x1913,x1912,a1))
% 0.86/0.92 [201]E(f4(f10(f6(f7(x2011,x2012,a1),x2013,a1)),x2012,a1),f4(f10(x2013),x2012,a1))
% 0.86/0.92 [202]E(f6(f7(x2021,x2022,a1),f6(f7(x2023,x2022,a1),x2024,a1),a1),f6(f7(f6(x2021,x2023,a1),x2022,a1),x2024,a1))
% 0.86/0.92 [223]P5(x2231,a1)+P5(f10(x2231),a1)
% 0.86/0.92 [225]~P5(x2251,a1)+~P5(f10(x2251),a1)
% 0.86/0.92 [227]E(x2271,f2(a1))+P6(f2(a1),x2271,a1)
% 0.86/0.92 [249]P5(x2491,a1)+P6(f2(a1),x2491,a1)
% 0.86/0.92 [272]E(x2721,f2(a1))+~P8(x2721,f2(a1),a1)
% 0.86/0.92 [221]~P48(x2211)+E(f9(f2(a1),x2211),f2(x2211))
% 0.86/0.92 [222]~P23(x2221)+E(f5(f2(x2221),x2221),f2(x2221))
% 0.86/0.92 [264]~P21(x2641)+E(f6(f2(x2641),f2(x2641),x2641),f2(x2641))
% 0.86/0.92 [289]~P23(x2891)+P8(f5(f2(x2891),x2891),f2(x2891),x2891)
% 0.86/0.92 [293]E(x2931,f2(a1))+~P6(x2931,f10(f2(a1)),a1)
% 0.86/0.92 [306]~P7(x3061,f10(f2(a1)),a1)+E(x3061,f10(f2(a1)))
% 0.86/0.92 [389]~P23(x3891)+~P6(f2(x3891),f5(f2(x3891),x3891),x3891)
% 0.86/0.92 [569]~P47(x5691)+E(f6(f7(f2(x5691),f2(x5691),x5691),f7(f2(x5691),f2(x5691),x5691),x5691),f2(x5691))
% 0.86/0.92 [841]~P47(x8411)+P8(f6(f7(f2(x8411),f2(x8411),x8411),f7(f2(x8411),f2(x8411),x8411),x8411),f2(x8411),x8411)
% 0.86/0.92 [862]~P47(x8621)+~P6(f2(x8621),f6(f7(f2(x8621),f2(x8621),x8621),f7(f2(x8621),f2(x8621),x8621),x8621),x8621)
% 0.86/0.92 [287]P5(x2871,a1)+E(f4(x2871,f10(f10(f2(a1))),a1),f10(f2(a1)))
% 0.86/0.92 [291]~P5(x2911,a1)+E(f4(x2911,f10(f10(f2(a1))),a1),f2(a1))
% 0.86/0.92 [358]P5(x3581,a1)+~E(f4(x3581,f10(f10(f2(a1))),a1),f2(a1))
% 0.86/0.92 [390]~P5(x3901,a1)+~E(f4(x3901,f10(f10(f2(a1))),a1),f10(f2(a1)))
% 0.86/0.92 [461]~P6(f2(a1),x4611,a1)+E(f10(f3(x4611,f10(f2(a1)),a1)),x4611)
% 0.86/0.92 [230]~P27(x2302)+P7(x2301,x2301,x2302)
% 0.86/0.92 [231]~P29(x2312)+P8(x2311,x2311,x2312)
% 0.86/0.92 [232]~P31(x2322)+P8(x2321,x2321,x2322)
% 0.86/0.92 [273]~P6(x2732,x2732,x2731)+~P28(x2731)
% 0.86/0.92 [274]~P6(x2742,x2742,x2741)+~P29(x2741)
% 0.86/0.92 [275]~P6(x2752,x2752,x2751)+~P31(x2751)
% 0.86/0.92 [292]P8(x2922,x2921,a1)+P8(x2921,x2922,a1)
% 0.86/0.92 [333]~P6(x3331,x3332,a1)+P8(x3331,x3332,a1)
% 0.86/0.92 [220]E(x2201,x2202)+~E(f10(x2201),f10(x2202))
% 0.86/0.92 [233]~P16(x2332)+E(f7(x2331,x2331,x2332),x2331)
% 0.86/0.92 [234]~P28(x2342)+E(f8(x2341,x2341,x2342),x2341)
% 0.86/0.92 [235]~P15(x2352)+E(f3(x2351,x2351,x2352),f2(x2352))
% 0.86/0.92 [237]~P20(x2372)+E(f3(x2371,x2371,x2372),f2(x2372))
% 0.86/0.92 [238]~P4(x2382)+E(f4(x2381,x2381,x2382),f2(x2382))
% 0.86/0.92 [239]~P27(x2392)+P7(x2391,f2(x2392),x2392)
% 0.86/0.92 [266]~P23(x2662)+P8(x2661,f5(x2661,x2662),x2662)
% 0.86/0.92 [268]~E(f6(x2682,x2681,a1),x2682)+E(x2681,f2(a1))
% 0.86/0.92 [270]E(x2701,f2(a1))+~E(f6(x2702,x2701,a1),f2(a1))
% 0.86/0.92 [271]E(x2711,f2(a1))+~E(f6(x2711,x2712,a1),f2(a1))
% 0.86/0.92 [276]~P23(x2761)+P8(f2(x2761),f5(x2762,x2761),x2761)
% 0.86/0.92 [278]~P44(x2781)+P8(f2(x2781),f9(x2782,x2781),x2781)
% 0.86/0.92 [309]P6(x3091,x3092,a1)+P6(x3092,f10(x3091),a1)
% 0.86/0.92 [311]P8(x3111,x3112,a1)+P8(f10(x3112),x3111,a1)
% 0.86/0.92 [330]~P5(x3302,a1)+P5(f7(x3301,x3302,a1),a1)
% 0.86/0.92 [331]~P5(x3311,a1)+P5(f7(x3311,x3312,a1),a1)
% 0.86/0.92 [334]~P6(x3341,x3342,a1)+E(f4(x3341,x3342,a1),x3341)
% 0.86/0.92 [335]~P8(x3351,x3352,a1)+E(f3(x3351,x3352,a1),f2(a1))
% 0.86/0.92 [339]P8(x3391,x3392,a1)+~E(f3(x3391,x3392,a1),f2(a1))
% 0.86/0.92 [344]~P6(x3441,x3442,a1)+P6(x3441,f10(x3442),a1)
% 0.86/0.92 [345]~P8(x3451,x3452,a1)+P6(x3451,f10(x3452),a1)
% 0.86/0.92 [347]~P8(x3471,x3472,a1)+P8(x3471,f10(x3472),a1)
% 0.86/0.92 [349]~P6(x3491,x3492,a1)+P8(f10(x3491),x3492,a1)
% 0.86/0.92 [350]~P23(x3501)+~P6(f5(x3502,x3501),f2(x3501),x3501)
% 0.86/0.92 [351]~P44(x3511)+~P6(f9(x3512,x3511),f2(x3511),x3511)
% 0.86/0.92 [353]P8(x3531,x3532,a1)+~P6(x3531,f10(x3532),a1)
% 0.86/0.92 [354]P6(x3541,x3542,a1)+~P6(f10(x3541),x3542,a1)
% 0.86/0.92 [356]P6(x3561,x3562,a1)+~P8(f10(x3561),x3562,a1)
% 0.86/0.92 [357]P8(x3571,x3572,a1)+~P8(f10(x3571),x3572,a1)
% 0.86/0.92 [369]~P6(x3691,x3692,a1)+P6(f10(x3691),f10(x3692),a1)
% 0.86/0.92 [370]~P8(x3701,x3702,a1)+P8(f10(x3701),f10(x3702),a1)
% 0.86/0.92 [383]P6(x3831,x3832,a1)+~P6(f10(x3831),f10(x3832),a1)
% 0.86/0.92 [384]P8(x3841,x3842,a1)+~P8(f10(x3841),f10(x3842),a1)
% 0.86/0.92 [417]~P47(x4171)+P8(f2(x4171),f7(x4172,x4172,x4171),x4171)
% 0.86/0.92 [419]~P6(x4191,x4192,a1)+~P6(x4192,f10(x4191),a1)
% 0.86/0.92 [420]~P8(x4201,x4202,a1)+~P8(f10(x4202),x4201,a1)
% 0.86/0.92 [449]~P6(x4491,x4492,a1)+P5(f3(x4491,x4492,a1),a1)
% 0.86/0.92 [489]~P7(x4891,x4892,a1)+P7(x4891,f6(x4892,x4891,a1),a1)
% 0.86/0.92 [499]~P6(x4992,x4991,a1)+P6(f2(a1),f3(x4991,x4992,a1),a1)
% 0.86/0.92 [500]P6(f4(x5001,x5002,a1),x5002,a1)+~P6(f2(a1),x5002,a1)
% 0.86/0.92 [501]P8(f4(x5011,x5012,a1),x5012,a1)+~P6(f2(a1),x5012,a1)
% 0.86/0.92 [529]~P47(x5291)+~P6(f7(x5292,x5292,x5291),f2(x5291),x5291)
% 0.86/0.92 [538]P7(x5381,x5382,a1)+~P7(x5381,f6(x5382,x5381,a1),a1)
% 0.86/0.92 [544]P6(x5441,x5442,a1)+~P6(f2(a1),f3(x5442,x5441,a1),a1)
% 0.86/0.92 [547]P6(f2(a1),x5471,a1)+~P6(f2(a1),f7(x5472,x5471,a1),a1)
% 0.86/0.92 [548]P6(f2(a1),x5481,a1)+~P6(f2(a1),f7(x5481,x5482,a1),a1)
% 0.86/0.92 [228]~P23(x2282)+E(f5(f5(x2281,x2282),x2282),f5(x2281,x2282))
% 0.86/0.92 [229]~P46(x2292)+E(f5(f9(x2291,x2292),x2292),f9(x2291,x2292))
% 0.86/0.92 [240]~P27(x2402)+E(f6(x2401,f2(x2402),x2402),x2401)
% 0.86/0.92 [241]~P12(x2412)+E(f6(x2411,f2(x2412),x2412),x2411)
% 0.86/0.92 [242]~P19(x2422)+E(f6(x2421,f2(x2422),x2422),x2421)
% 0.86/0.92 [243]~P20(x2432)+E(f3(x2431,f2(x2432),x2432),x2431)
% 0.86/0.92 [244]~P4(x2442)+E(f4(x2441,f2(x2442),x2442),x2441)
% 0.86/0.92 [246]~P27(x2461)+E(f6(f2(x2461),x2462,x2461),x2462)
% 0.86/0.92 [247]~P12(x2471)+E(f6(f2(x2471),x2472,x2471),x2472)
% 0.86/0.92 [248]~P19(x2481)+E(f6(f2(x2481),x2482,x2481),x2482)
% 0.86/0.92 [250]~P27(x2502)+E(f7(x2501,f2(x2502),x2502),f2(x2502))
% 0.86/0.92 [251]~P54(x2512)+E(f7(x2511,f2(x2512),x2512),f2(x2512))
% 0.86/0.92 [253]~P32(x2532)+E(f7(x2531,f2(x2532),x2532),f2(x2532))
% 0.86/0.92 [254]~P42(x2542)+E(f7(x2541,f2(x2542),x2542),f2(x2542))
% 0.86/0.92 [256]~P27(x2561)+E(f7(f2(x2561),x2562,x2561),f2(x2561))
% 0.86/0.92 [257]~P54(x2571)+E(f7(f2(x2571),x2572,x2571),f2(x2571))
% 0.86/0.92 [259]~P32(x2591)+E(f7(f2(x2591),x2592,x2591),f2(x2591))
% 0.86/0.92 [260]~P42(x2601)+E(f7(f2(x2601),x2602,x2601),f2(x2601))
% 0.86/0.92 [261]~P4(x2611)+E(f4(f2(x2611),x2612,x2611),f2(x2611))
% 0.86/0.92 [285]E(x2851,f10(f2(a1)))+~E(f7(x2852,x2851,a1),f10(f2(a1)))
% 0.86/0.92 [286]E(x2861,f10(f2(a1)))+~E(f7(x2861,x2862,a1),f10(f2(a1)))
% 0.86/0.92 [391]~P46(x3912)+E(f7(f5(x3911,x3912),f5(x3911,x3912),x3912),f7(x3911,x3911,x3912))
% 0.86/0.92 [452]P6(x4522,x4521,a1)+E(f6(x4521,f3(x4522,x4521,a1),a1),x4522)
% 0.86/0.92 [474]~E(f10(f4(x4741,x4742,a1)),x4742)+E(f4(f10(x4741),x4742,a1),f2(a1))
% 0.86/0.92 [496]~P8(x4961,x4962,a1)+E(f6(x4961,f3(x4962,x4961,a1),a1),x4962)
% 0.86/0.92 [497]~P8(x4972,x4971,a1)+E(f3(x4971,f3(x4971,x4972,a1),a1),x4972)
% 0.86/0.92 [498]~P8(x4982,x4981,a1)+E(f6(f3(x4981,x4982,a1),x4982,a1),x4981)
% 0.86/0.92 [505]~P8(x5052,x5051,a1)+E(f10(f3(x5051,x5052,a1)),f3(f10(x5051),x5052,a1))
% 0.86/0.92 [518]~P6(f2(a1),x5181,a1)+P6(f3(x5181,f10(x5182),a1),x5181,a1)
% 0.86/0.92 [521]P6(x5211,x5212,a1)+E(f4(f3(x5211,x5212,a1),x5212,a1),f4(x5211,x5212,a1))
% 0.86/0.92 [532]E(f10(f4(x5321,x5322,a1)),x5322)+E(f10(f4(x5321,x5322,a1)),f4(f10(x5321),x5322,a1))
% 0.86/0.92 [533]~P8(x5332,x5331,a1)+E(f4(f3(x5331,x5332,a1),x5332,a1),f4(x5331,x5332,a1))
% 0.86/0.92 [587]P8(f10(f2(a1)),x5871,a1)+~P8(f10(f2(a1)),f7(x5872,x5871,a1),a1)
% 0.86/0.92 [588]P8(f10(f2(a1)),x5881,a1)+~P8(f10(f2(a1)),f7(x5881,x5882,a1),a1)
% 0.86/0.92 [313]~P27(x3133)+E(f7(x3131,x3132,x3133),f7(x3132,x3131,x3133))
% 0.86/0.92 [315]~P27(x3153)+E(f6(x3151,x3152,x3153),f6(x3152,x3151,x3153))
% 0.86/0.92 [316]~P12(x3163)+E(f6(x3161,x3162,x3163),f6(x3162,x3161,x3163))
% 0.86/0.92 [317]~P28(x3173)+E(f8(x3171,x3172,x3173),f8(x3172,x3171,x3173))
% 0.86/0.92 [393]E(x3931,x3932)+~E(f6(x3933,x3931,a1),f6(x3933,x3932,a1))
% 0.86/0.92 [394]E(x3941,x3942)+~E(f6(x3941,x3943,a1),f6(x3942,x3943,a1))
% 0.86/0.92 [395]~P27(x3953)+P7(x3951,f7(x3952,x3951,x3953),x3953)
% 0.86/0.92 [396]~P27(x3963)+P7(x3961,f7(x3961,x3962,x3963),x3963)
% 0.86/0.92 [397]~P37(x3973)+P7(x3971,f7(x3971,x3972,x3973),x3973)
% 0.86/0.92 [398]~P28(x3983)+P8(f8(x3981,x3982,x3983),x3982,x3983)
% 0.86/0.92 [399]~P28(x3993)+P8(f8(x3991,x3992,x3993),x3991,x3993)
% 0.86/0.92 [486]~P6(x4861,x4863,a1)+P6(x4861,f6(x4862,x4863,a1),a1)
% 0.86/0.92 [488]~P6(x4881,x4882,a1)+P6(x4881,f6(x4882,x4883,a1),a1)
% 0.86/0.92 [491]~P8(x4911,x4913,a1)+P8(x4911,f6(x4912,x4913,a1),a1)
% 0.86/0.92 [493]~P8(x4931,x4932,a1)+P8(x4931,f6(x4932,x4933,a1),a1)
% 0.86/0.92 [494]~P6(x4941,x4943,a1)+P6(f3(x4941,x4942,a1),x4943,a1)
% 0.86/0.92 [539]P6(x5391,x5392,a1)+~P6(f6(x5391,x5393,a1),x5392,a1)
% 0.86/0.92 [540]P8(x5401,x5402,a1)+~P8(f6(x5403,x5401,a1),x5402,a1)
% 0.86/0.92 [541]P8(x5411,x5412,a1)+~P8(f6(x5411,x5413,a1),x5412,a1)
% 0.86/0.92 [559]P8(f7(x5592,x5591,a1),f7(x5593,x5591,a1),a1)+P6(f2(a1),x5591,a1)
% 0.86/0.92 [560]P8(f7(x5601,x5602,a1),f7(x5601,x5603,a1),a1)+P6(f2(a1),x5601,a1)
% 0.86/0.92 [606]~P6(x6061,x6063,a1)+P6(f6(x6061,x6062,a1),f6(x6063,x6062,a1),a1)
% 0.86/0.92 [607]~P6(x6072,x6073,a1)+P6(f6(x6071,x6072,a1),f6(x6071,x6073,a1),a1)
% 0.86/0.92 [608]~P7(x6082,x6083,a1)+P7(f7(x6081,x6082,a1),f7(x6081,x6083,a1),a1)
% 0.86/0.92 [610]~P8(x6101,x6103,a1)+P8(f7(x6101,x6102,a1),f7(x6103,x6102,a1),a1)
% 0.86/0.92 [612]~P8(x6122,x6123,a1)+P8(f7(x6121,x6122,a1),f7(x6121,x6123,a1),a1)
% 0.86/0.92 [613]~P8(x6131,x6133,a1)+P8(f6(x6131,x6132,a1),f6(x6133,x6132,a1),a1)
% 0.86/0.92 [614]~P8(x6142,x6143,a1)+P8(f6(x6141,x6142,a1),f6(x6141,x6143,a1),a1)
% 0.86/0.92 [615]~P8(x6151,x6153,a1)+P8(f3(x6151,x6152,a1),f3(x6153,x6152,a1),a1)
% 0.86/0.92 [616]~P8(x6163,x6162,a1)+P8(f3(x6161,x6162,a1),f3(x6161,x6163,a1),a1)
% 0.86/0.92 [684]~P6(f6(x6841,x6843,a1),x6842,a1)+P6(x6841,f3(x6842,x6843,a1),a1)
% 0.86/0.92 [685]~P8(f3(x6851,x6853,a1),x6852,a1)+P8(x6851,f6(x6852,x6853,a1),a1)
% 0.86/0.92 [686]~P6(x6861,f3(x6863,x6862,a1),a1)+P6(f6(x6861,x6862,a1),x6863,a1)
% 0.86/0.92 [687]~P8(x6871,f6(x6873,x6872,a1),a1)+P8(f3(x6871,x6872,a1),x6873,a1)
% 0.86/0.92 [751]P6(x7511,x7512,a1)+~P6(f7(x7513,x7511,a1),f7(x7513,x7512,a1),a1)
% 0.86/0.92 [752]P6(x7521,x7522,a1)+~P6(f7(x7521,x7523,a1),f7(x7522,x7523,a1),a1)
% 0.86/0.92 [753]P6(x7531,x7532,a1)+~P6(f6(x7533,x7531,a1),f6(x7533,x7532,a1),a1)
% 0.86/0.92 [754]P8(x7541,x7542,a1)+~P8(f6(x7543,x7541,a1),f6(x7543,x7542,a1),a1)
% 0.86/0.92 [755]~P6(f7(x7552,x7551,a1),f7(x7553,x7551,a1),a1)+P6(f2(a1),x7551,a1)
% 0.86/0.92 [756]~P6(f7(x7561,x7562,a1),f7(x7561,x7563,a1),a1)+P6(f2(a1),x7561,a1)
% 0.86/0.92 [400]~P20(x4003)+E(f6(f3(x4001,x4002,x4003),x4002,x4003),x4001)
% 0.86/0.92 [401]~P20(x4013)+E(f3(f6(x4011,x4012,x4013),x4012,x4013),x4011)
% 0.86/0.92 [410]~P4(x4103)+E(f4(f7(x4101,x4102,x4103),x4102,x4103),f2(x4103))
% 0.86/0.92 [411]~P4(x4113)+E(f4(f7(x4111,x4112,x4113),x4111,x4113),f2(x4113))
% 0.86/0.92 [440]E(x4401,x4402)+~E(f7(f10(x4403),x4401,a1),f7(f10(x4403),x4402,a1))
% 0.86/0.92 [462]~P16(x4623)+E(f7(x4621,f7(x4621,x4622,x4623),x4623),f7(x4621,x4622,x4623))
% 0.86/0.92 [463]~P28(x4633)+E(f8(x4631,f8(x4631,x4632,x4633),x4633),f8(x4631,x4632,x4633))
% 0.86/0.92 [464]~P4(x4643)+E(f4(f6(x4641,x4642,x4643),x4642,x4643),f4(x4641,x4642,x4643))
% 0.86/0.92 [465]~P4(x4653)+E(f4(f6(x4651,x4652,x4653),x4651,x4653),f4(x4652,x4651,x4653))
% 0.86/0.92 [466]~P4(x4663)+E(f4(f4(x4661,x4662,x4663),x4662,x4663),f4(x4661,x4662,x4663))
% 0.86/0.92 [472]~P48(x4722)+E(f7(f9(x4721,x4722),f9(x4723,x4722),x4722),f9(f7(x4721,x4723,a1),x4722))
% 0.86/0.92 [473]~P48(x4732)+E(f6(f9(x4731,x4732),f9(x4733,x4732),x4732),f9(f6(x4731,x4733,a1),x4732))
% 0.86/0.92 [475]~P46(x4752)+E(f7(f5(x4751,x4752),f5(x4753,x4752),x4752),f5(f7(x4751,x4753,x4752),x4752))
% 0.86/0.92 [504]~P23(x5043)+E(f5(f3(x5041,x5042,x5043),x5043),f5(f3(x5042,x5041,x5043),x5043))
% 0.86/0.92 [536]~P40(x5362)+P7(f7(x5361,f2(x5362),x5362),f7(x5363,f2(x5362),x5362),x5362)
% 0.86/0.92 [537]~P40(x5371)+P7(f7(f2(x5371),x5372,x5371),f7(f2(x5371),x5373,x5371),x5371)
% 0.86/0.92 [662]~P6(x6622,x6623,a1)+P6(f7(f10(x6621),x6622,a1),f7(f10(x6621),x6623,a1),a1)
% 0.86/0.92 [677]~P8(x6772,x6773,a1)+E(f3(f6(x6771,x6772,a1),x6773,a1),f3(x6771,f3(x6773,x6772,a1),a1))
% 0.86/0.92 [678]~P8(x6783,x6782,a1)+E(f3(f6(x6781,x6782,a1),x6783,a1),f6(x6781,f3(x6782,x6783,a1),a1))
% 0.86/0.92 [680]~P8(x6803,x6801,a1)+E(f3(f6(x6801,x6802,a1),x6803,a1),f6(f3(x6801,x6803,a1),x6802,a1))
% 0.86/0.92 [732]~P8(x7323,x7322,a1)+P8(x7321,f3(f6(x7322,x7321,a1),x7323,a1),a1)
% 0.86/0.92 [772]P8(x7721,x7722,a1)+~P8(f7(f10(x7723),x7721,a1),f7(f10(x7723),x7722,a1),a1)
% 0.86/0.92 [774]~P41(x7743)+P8(f5(f7(x7741,x7742,x7743),x7743),f7(f5(x7741,x7743),f5(x7742,x7743),x7743),x7743)
% 0.86/0.92 [775]~P23(x7753)+P8(f5(f6(x7751,x7752,x7753),x7753),f6(f5(x7751,x7753),f5(x7752,x7753),x7753),x7753)
% 0.86/0.92 [776]~P23(x7763)+P8(f5(f3(x7761,x7762,x7763),x7763),f6(f5(x7761,x7763),f5(x7762,x7763),x7763),x7763)
% 0.86/0.92 [777]~P23(x7772)+P8(f3(f5(x7771,x7772),f5(x7773,x7772),x7772),f5(f3(x7771,x7773,x7772),x7772),x7772)
% 0.86/0.92 [822]~P47(x8221)+P8(f2(x8221),f6(f7(x8222,x8222,x8221),f7(x8223,x8223,x8221),x8221),x8221)
% 0.86/0.92 [856]~P47(x8561)+~P6(f6(f7(x8562,x8562,x8561),f7(x8563,x8563,x8561),x8561),f2(x8561),x8561)
% 0.86/0.92 [597]~P23(x5972)+E(f5(f6(f5(x5971,x5972),f5(x5973,x5972),x5972),x5972),f6(f5(x5971,x5972),f5(x5973,x5972),x5972))
% 0.86/0.92 [780]~P8(x7802,x7803,a1)+E(f3(f6(x7801,x7802,a1),f10(x7803),a1),f3(x7801,f10(f3(x7803,x7802,a1)),a1))
% 0.86/0.92 [781]~P8(x7812,x7811,a1)+E(f3(f10(f3(x7811,x7812,a1)),x7813,a1),f3(f10(x7811),f6(x7812,x7813,a1),a1))
% 0.86/0.92 [842]~P23(x8422)+P8(f5(f3(f5(x8421,x8422),f5(x8423,x8422),x8422),x8422),f5(f3(x8421,x8423,x8422),x8422),x8422)
% 0.86/0.92 [570]~P27(x5704)+E(f7(x5701,f7(x5702,x5703,x5704),x5704),f7(x5702,f7(x5701,x5703,x5704),x5704))
% 0.86/0.92 [571]~P27(x5714)+E(f6(x5711,f6(x5712,x5713,x5714),x5714),f6(x5712,f6(x5711,x5713,x5714),x5714))
% 0.86/0.92 [572]~P12(x5724)+E(f6(x5721,f6(x5722,x5723,x5724),x5724),f6(x5722,f6(x5721,x5723,x5724),x5724))
% 0.86/0.92 [573]~P15(x5734)+E(f6(x5731,f6(x5732,x5733,x5734),x5734),f6(x5732,f6(x5731,x5733,x5734),x5734))
% 0.86/0.92 [574]~P28(x5744)+E(f8(x5741,f8(x5742,x5743,x5744),x5744),f8(x5742,f8(x5741,x5743,x5744),x5744))
% 0.86/0.92 [579]~P27(x5793)+E(f7(f7(x5791,x5792,x5793),x5794,x5793),f7(x5791,f7(x5792,x5794,x5793),x5793))
% 0.86/0.92 [580]~P13(x5803)+E(f7(f7(x5801,x5802,x5803),x5804,x5803),f7(x5801,f7(x5802,x5804,x5803),x5803))
% 0.86/0.92 [581]~P27(x5813)+E(f6(f6(x5811,x5812,x5813),x5814,x5813),f6(x5811,f6(x5812,x5814,x5813),x5813))
% 0.86/0.92 [582]~P12(x5823)+E(f6(f6(x5821,x5822,x5823),x5824,x5823),f6(x5821,f6(x5822,x5824,x5823),x5823))
% 0.86/0.92 [583]~P14(x5833)+E(f6(f6(x5831,x5832,x5833),x5834,x5833),f6(x5831,f6(x5832,x5834,x5833),x5833))
% 0.86/0.92 [584]~P28(x5843)+E(f8(f8(x5841,x5842,x5843),x5844,x5843),f8(x5841,f8(x5842,x5844,x5843),x5843))
% 0.86/0.92 [585]~P27(x5853)+E(f7(f7(x5851,x5852,x5853),x5854,x5853),f7(f7(x5851,x5854,x5853),x5852,x5853))
% 0.86/0.92 [586]~P27(x5863)+E(f6(f6(x5861,x5862,x5863),x5864,x5863),f6(f6(x5861,x5864,x5863),x5862,x5863))
% 0.86/0.92 [709]~P27(x7093)+E(f6(f7(x7091,x7092,x7093),f7(x7091,x7094,x7093),x7093),f7(x7091,f6(x7092,x7094,x7093),x7093))
% 0.86/0.92 [711]~P32(x7113)+E(f6(f7(x7111,x7112,x7113),f7(x7111,x7114,x7113),x7113),f7(x7111,f6(x7112,x7114,x7113),x7113))
% 0.86/0.92 [713]~P32(x7133)+E(f3(f7(x7131,x7132,x7133),f7(x7131,x7134,x7133),x7133),f7(x7131,f3(x7132,x7134,x7133),x7133))
% 0.86/0.92 [716]~P32(x7163)+E(f6(f7(x7161,x7162,x7163),f7(x7164,x7162,x7163),x7163),f7(f6(x7161,x7164,x7163),x7162,x7163))
% 0.86/0.92 [717]~P30(x7173)+E(f6(f7(x7171,x7172,x7173),f7(x7174,x7172,x7173),x7173),f7(f6(x7171,x7174,x7173),x7172,x7173))
% 0.86/0.92 [719]~P32(x7193)+E(f3(f7(x7191,x7192,x7193),f7(x7194,x7192,x7193),x7193),f7(f3(x7191,x7194,x7193),x7192,x7193))
% 0.86/0.92 [720]~P25(x7203)+E(f8(f6(x7201,x7202,x7203),f6(x7204,x7202,x7203),x7203),f6(f8(x7201,x7204,x7203),x7202,x7203))
% 0.86/0.92 [721]~P24(x7213)+E(f8(f3(x7211,x7212,x7213),f3(x7214,x7212,x7213),x7213),f3(f8(x7211,x7214,x7213),x7212,x7213))
% 0.86/0.92 [722]~P4(x7223)+E(f4(f7(x7221,x7222,x7223),f7(x7221,x7224,x7223),x7223),f7(x7221,f4(x7222,x7224,x7223),x7223))
% 0.86/0.92 [723]~P27(x7233)+E(f6(f7(x7231,x7232,x7233),f7(x7234,x7232,x7233),x7233),f7(f6(x7231,x7234,x7233),x7232,x7233))
% 0.86/0.92 [724]~P4(x7243)+E(f4(f7(x7241,x7242,x7243),f7(x7244,x7242,x7243),x7243),f7(f4(x7241,x7244,x7243),x7242,x7243))
% 0.86/0.92 [707]~P4(x7074)+E(f4(f6(x7071,f7(x7072,x7073,x7074),x7074),x7073,x7074),f4(x7071,x7073,x7074))
% 0.86/0.92 [708]~P4(x7084)+E(f4(f6(x7081,f7(x7082,x7083,x7084),x7084),x7082,x7084),f4(x7081,x7082,x7084))
% 0.86/0.92 [785]~P4(x7854)+E(f4(f7(x7851,f4(x7852,x7853,x7854),x7854),x7853,x7854),f4(f7(x7851,x7852,x7854),x7853,x7854))
% 0.86/0.92 [787]~P9(x7874)+E(f4(f3(x7871,f4(x7872,x7873,x7874),x7874),x7873,x7874),f4(f3(x7871,x7872,x7874),x7873,x7874))
% 0.86/0.92 [790]~P9(x7903)+E(f4(f3(f4(x7901,x7902,x7903),x7904,x7903),x7902,x7903),f4(f3(x7901,x7904,x7903),x7902,x7903))
% 0.86/0.92 [791]~P4(x7914)+E(f4(f6(x7911,f4(x7912,x7913,x7914),x7914),x7913,x7914),f4(f6(x7911,x7912,x7914),x7913,x7914))
% 0.86/0.92 [792]~P4(x7923)+E(f4(f7(f4(x7921,x7922,x7923),x7924,x7923),x7922,x7923),f4(f7(x7921,x7924,x7923),x7922,x7923))
% 0.86/0.92 [793]~P4(x7933)+E(f4(f6(f4(x7931,x7932,x7933),x7934,x7933),x7932,x7933),f4(f6(x7931,x7934,x7933),x7932,x7933))
% 0.86/0.92 [843]~P4(x8433)+E(f4(f7(f4(x8431,x8432,x8433),f4(x8434,x8432,x8433),x8433),x8432,x8433),f4(f7(x8431,x8434,x8433),x8432,x8433))
% 0.86/0.92 [844]~P4(x8443)+E(f4(f6(f4(x8441,x8442,x8443),f4(x8444,x8442,x8443),x8443),x8442,x8443),f4(f6(x8441,x8444,x8443),x8442,x8443))
% 0.86/0.92 [845]~P9(x8453)+E(f4(f3(f4(x8451,x8452,x8453),f4(x8454,x8452,x8453),x8453),x8452,x8453),f4(f3(x8451,x8454,x8453),x8452,x8453))
% 0.86/0.92 [864]~P8(x8641,x8643,a1)+E(f6(f7(x8641,x8642,a1),f6(f7(f3(x8643,x8641,a1),x8642,a1),x8644,a1),a1),f6(f7(x8643,x8642,a1),x8644,a1))
% 0.86/0.92 [794]~P27(x7943)+E(f7(f7(x7941,x7942,x7943),f7(x7944,x7945,x7943),x7943),f7(f7(x7941,x7944,x7943),f7(x7942,x7945,x7943),x7943))
% 0.86/0.92 [795]~P27(x7953)+E(f6(f6(x7951,x7952,x7953),f6(x7954,x7955,x7953),x7953),f6(f6(x7951,x7954,x7953),f6(x7952,x7955,x7953),x7953))
% 0.86/0.92 [796]~P15(x7963)+E(f3(f6(x7961,x7962,x7963),f6(x7964,x7965,x7963),x7963),f6(f3(x7961,x7964,x7963),f3(x7962,x7965,x7963),x7963))
% 0.86/0.92 [821]E(f4(x8211,x8212,a1),f4(x8213,x8212,a1))+~E(f6(x8211,f7(x8212,x8214,a1),a1),f6(x8213,f7(x8212,x8215,a1),a1))
% 0.86/0.92 [851]~P53(x8513)+E(f6(f7(x8511,x8512,x8513),f6(f7(x8514,x8512,x8513),x8515,x8513),x8513),f6(f7(f6(x8511,x8514,x8513),x8512,x8513),x8515,x8513))
% 0.86/0.92 [885]~P23(x8853)+P8(f5(f3(f6(x8851,x8852,x8853),f6(x8854,x8855,x8853),x8853),x8853),f6(f5(f3(x8851,x8854,x8853),x8853),f5(f3(x8852,x8855,x8853),x8853),x8853),x8853)
% 0.86/0.92 [886]~P32(x8863)+E(f6(f6(f7(f3(x8861,x8862,x8863),f3(x8864,x8865,x8863),x8863),f7(f3(x8861,x8862,x8863),x8865,x8863),x8863),f7(x8862,f3(x8864,x8865,x8863),x8863),x8863),f3(f7(x8861,x8864,x8863),f7(x8862,x8865,x8863),x8863))
% 0.86/0.92 [861]~P56(x8613)+E(f6(f7(x8611,x8612,x8613),f6(f7(f3(x8614,x8611,x8613),x8612,x8613),x8615,x8613),x8613),f6(f7(x8614,x8612,x8613),x8615,x8613))
% 0.86/0.92 [867]~P8(x8671,x8674,a1)+E(f3(f6(f7(x8671,x8672,a1),x8673,a1),f6(f7(x8674,x8672,a1),x8675,a1),a1),f3(x8673,f6(f7(f3(x8674,x8671,a1),x8672,a1),x8675,a1),a1))
% 0.86/0.92 [868]~P8(x8684,x8681,a1)+E(f3(f6(f7(x8681,x8682,a1),x8683,a1),f6(f7(x8684,x8682,a1),x8685,a1),a1),f3(f6(f7(f3(x8681,x8684,a1),x8682,a1),x8683,a1),x8685,a1))
% 0.86/0.92 [439]~P2(x4391)+~P8(f2(x4391),f2(x4391),x4391)+E(f6(f2(x4391),f2(x4391),x4391),f2(x4391))
% 0.86/0.92 [352]E(x3521,f2(a1))+E(x3521,f10(f2(a1)))+~P6(x3521,f10(f10(f2(a1))),a1)
% 0.86/0.92 [302]E(x3021,x3022)+P6(x3022,x3021,a1)+P6(x3021,x3022,a1)
% 0.86/0.92 [338]E(x3381,x3382)+P6(x3381,x3382,a1)+~P8(x3381,x3382,a1)
% 0.86/0.92 [408]E(x4081,x4082)+~P7(x4082,x4081,a1)+~P7(x4081,x4082,a1)
% 0.86/0.92 [409]E(x4091,x4092)+~P8(x4092,x4091,a1)+~P8(x4091,x4092,a1)
% 0.86/0.92 [224]~P23(x2242)+~E(f5(x2241,x2242),f2(x2242))+E(x2241,f2(x2242))
% 0.86/0.92 [262]~P40(x2622)+~P11(x2622)+E(f3(x2621,x2621,x2622),f2(x2622))
% 0.86/0.92 [265]~P33(x2652)+P6(x2651,f2(x2652),x2652)+E(f5(x2651,x2652),x2651)
% 0.86/0.92 [279]E(x2791,f2(a1))+E(x2792,f2(a1))+~E(f7(x2792,x2791,a1),f2(a1))
% 0.86/0.92 [280]~P23(x2802)+P6(f2(x2802),f5(x2801,x2802),x2802)+E(x2801,f2(x2802))
% 0.86/0.92 [288]~P21(x2882)+~E(f6(x2881,x2881,x2882),f2(x2882))+E(x2881,f2(x2882))
% 0.86/0.92 [299]~P27(x2992)+~P7(f2(x2992),x2991,x2992)+E(x2991,f2(x2992))
% 0.86/0.92 [323]~P23(x3232)+~P6(f2(x3232),x3231,x3232)+E(f5(x3231,x3232),x3231)
% 0.86/0.92 [324]~P23(x3242)+~P8(f2(x3242),x3241,x3242)+E(f5(x3241,x3242),x3241)
% 0.86/0.92 [342]P5(x3421,a1)+P5(x3422,a1)+P5(f6(x3422,x3421,a1),a1)
% 0.86/0.92 [343]P5(x3431,a1)+P5(x3432,a1)+P5(f3(x3432,x3431,a1),a1)
% 0.86/0.92 [361]~P6(x3611,x3612,a1)+E(f10(x3611),x3612)+P6(f10(x3611),x3612,a1)
% 0.86/0.92 [362]E(x3621,x3622)+P6(x3622,x3621,a1)+~P6(x3622,f10(x3621),a1)
% 0.86/0.92 [364]E(x3641,x3642)+P6(x3641,x3642,a1)+~P6(x3641,f10(x3642),a1)
% 0.86/0.92 [367]~P23(x3672)+~P8(f5(x3671,x3672),f2(x3672),x3672)+E(x3671,f2(x3672))
% 0.86/0.92 [380]P8(x3801,x3802,a1)+E(x3801,f10(x3802))+~P8(x3801,f10(x3802),a1)
% 0.86/0.92 [387]~P5(x3872,a1)+~P5(x3871,a1)+P5(f6(x3871,x3872,a1),a1)
% 0.86/0.92 [388]~P5(x3882,a1)+~P5(x3881,a1)+P5(f3(x3881,x3882,a1),a1)
% 0.86/0.92 [418]E(x4181,x4182)+~E(f3(x4182,x4181,a1),f2(a1))+~E(f3(x4181,x4182,a1),f2(a1))
% 0.86/0.92 [421]E(x4211,x4212)+~P8(x4212,x4211,a1)+~P6(x4211,f10(x4212),a1)
% 0.86/0.92 [438]~P44(x4381)+P6(f2(x4381),f9(x4382,x4381),x4381)+~P6(f2(a1),x4382,a1)
% 0.86/0.92 [448]~P44(x4482)+~P6(f2(x4482),f9(x4481,x4482),x4482)+P6(f2(a1),x4481,a1)
% 0.86/0.92 [451]P5(x4511,a1)+P5(x4512,a1)+~P5(f7(x4511,x4512,a1),a1)
% 0.86/0.92 [456]P5(x4561,a1)+~P5(x4562,a1)+~P5(f6(x4562,x4561,a1),a1)
% 0.86/0.92 [458]P5(x4581,a1)+~P5(x4582,a1)+~P5(f6(x4581,x4582,a1),a1)
% 0.86/0.92 [467]~P7(x4671,x4672,a1)+P8(x4671,x4672,a1)+~P6(f2(a1),x4672,a1)
% 0.86/0.92 [471]~P7(x4711,x4712,a1)+~P6(f2(a1),x4712,a1)+P6(f2(a1),x4711,a1)
% 0.86/0.92 [516]~P7(x5162,x5161,a1)+~P6(x5161,x5162,a1)+~P6(f2(a1),x5161,a1)
% 0.86/0.92 [524]~P21(x5241)+~P6(f2(x5241),x5242,x5241)+P6(f2(x5241),f6(x5242,x5242,x5241),x5241)
% 0.86/0.92 [525]~P21(x5251)+~P8(f2(x5251),x5252,x5251)+P8(f2(x5251),f6(x5252,x5252,x5251),x5251)
% 0.86/0.92 [526]~P46(x5262)+~P6(x5261,f2(x5262),x5262)+P6(f6(x5261,x5261,x5262),f2(x5262),x5262)
% 0.86/0.92 [527]~P21(x5272)+~P6(x5271,f2(x5272),x5272)+P6(f6(x5271,x5271,x5272),f2(x5272),x5272)
% 0.86/0.92 [528]~P21(x5282)+~P8(x5281,f2(x5282),x5282)+P8(f6(x5281,x5281,x5282),f2(x5282),x5282)
% 0.86/0.92 [589]~P46(x5892)+~P6(f6(x5891,x5891,x5892),f2(x5892),x5892)+P6(x5891,f2(x5892),x5892)
% 0.86/0.92 [590]~P21(x5902)+~P6(f6(x5901,x5901,x5902),f2(x5902),x5902)+P6(x5901,f2(x5902),x5902)
% 0.86/0.92 [591]~P21(x5912)+~P8(f6(x5911,x5911,x5912),f2(x5912),x5912)+P8(x5911,f2(x5912),x5912)
% 0.86/0.92 [592]~P21(x5921)+~P6(f2(x5921),f6(x5922,x5922,x5921),x5921)+P6(f2(x5921),x5922,x5921)
% 0.86/0.92 [593]~P21(x5931)+~P8(f2(x5931),f6(x5932,x5932,x5931),x5931)+P8(f2(x5931),x5932,x5931)
% 0.86/0.92 [594]P6(f3(x5941,x5942,a1),x5941,a1)+~P6(f2(a1),x5942,a1)+~P6(f2(a1),x5941,a1)
% 0.86/0.92 [596]~P6(f2(a1),x5962,a1)+~P6(f2(a1),x5961,a1)+P6(f2(a1),f7(x5961,x5962,a1),a1)
% 0.86/0.92 [635]P6(f2(a1),x6351,a1)+P6(f2(a1),x6352,a1)+~P6(f2(a1),f6(x6351,x6352,a1),a1)
% 0.86/0.92 [263]~P40(x2632)+~P11(x2632)+E(f6(x2631,f2(x2632),x2632),x2631)
% 0.86/0.92 [284]E(x2841,f2(a1))+E(x2842,f2(a1))+~E(f6(x2842,x2841,a1),f10(f2(a1)))
% 0.86/0.92 [296]E(x2961,f2(a1))+E(x2961,f10(f2(a1)))+~E(f6(x2962,x2961,a1),f10(f2(a1)))
% 0.86/0.92 [297]E(x2971,f2(a1))+E(x2971,f10(f2(a1)))+~E(f6(x2971,x2972,a1),f10(f2(a1)))
% 0.86/0.92 [308]E(x3081,f10(f2(a1)))+E(x3082,f10(f2(a1)))+~E(f6(x3082,x3081,a1),f10(f2(a1)))
% 0.86/0.92 [633]P6(x6331,f7(x6332,x6331,a1),a1)+~P6(f10(f2(a1)),x6332,a1)+~P6(f10(f2(a1)),x6331,a1)
% 0.86/0.92 [634]P6(x6341,f7(x6341,x6342,a1),a1)+~P6(f10(f2(a1)),x6342,a1)+~P6(f10(f2(a1)),x6341,a1)
% 0.86/0.92 [666]~P6(f10(f2(a1)),x6662,a1)+~P6(f10(f2(a1)),x6661,a1)+P6(f10(f2(a1)),f7(x6661,x6662,a1),a1)
% 0.86/0.92 [667]~P8(f10(f2(a1)),x6672,a1)+~P8(f10(f2(a1)),x6671,a1)+P8(f10(f2(a1)),f7(x6671,x6672,a1),a1)
% 0.86/0.92 [320]P8(x3202,x3201,x3203)+~P28(x3203)+P6(x3201,x3202,x3203)
% 0.86/0.92 [322]P8(x3222,x3221,x3223)+~P28(x3223)+P8(x3221,x3222,x3223)
% 0.86/0.92 [359]~P29(x3593)+~P6(x3591,x3592,x3593)+P8(x3591,x3592,x3593)
% 0.86/0.92 [360]~P31(x3603)+~P6(x3601,x3602,x3603)+P8(x3601,x3602,x3603)
% 0.86/0.92 [422]~P6(x4223,x4222,x4221)+~P28(x4221)+~P6(x4222,x4223,x4221)
% 0.86/0.92 [424]~P8(x4243,x4242,x4241)+~P28(x4241)+~P6(x4242,x4243,x4241)
% 0.86/0.92 [426]~P6(x4263,x4262,x4261)+~P29(x4261)+~P6(x4262,x4263,x4261)
% 0.86/0.92 [428]~P6(x4283,x4282,x4281)+~P31(x4281)+~P6(x4282,x4283,x4281)
% 0.86/0.92 [429]~P8(x4293,x4292,x4291)+~P31(x4291)+~P6(x4292,x4293,x4291)
% 0.86/0.92 [459]~P7(x4591,x4593,a1)+P7(x4591,x4592,a1)+~P7(x4593,x4592,a1)
% 0.86/0.92 [460]~P8(x4601,x4603,a1)+P8(x4601,x4602,a1)+~P8(x4603,x4602,a1)
% 0.86/0.92 [226]~P10(x2263)+E(x2261,x2262)+~E(f9(x2261,x2263),f9(x2262,x2263))
% 0.86/0.92 [281]~P15(x2813)+E(x2811,x2812)+~E(f3(x2811,x2812,x2813),f2(x2813))
% 0.86/0.92 [282]~P20(x2823)+E(x2821,x2822)+~E(f3(x2821,x2822,x2823),f2(x2823))
% 0.86/0.92 [290]~P46(x2903)+P7(x2901,x2902,x2903)+~E(f5(x2901,x2903),f5(x2902,x2903))
% 0.86/0.92 [365]~P28(x3653)+~P8(x3652,x3651,x3653)+E(f8(x3651,x3652,x3653),x3652)
% 0.86/0.92 [366]~P28(x3663)+~P8(x3661,x3662,x3663)+E(f8(x3661,x3662,x3663),x3661)
% 0.86/0.92 [371]~P28(x3713)+P8(x3711,x3712,x3713)+~E(f8(x3711,x3712,x3713),x3711)
% 0.86/0.92 [381]~P4(x3813)+~P7(x3812,x3811,x3813)+E(f4(x3811,x3812,x3813),f2(x3813))
% 0.86/0.92 [382]~P4(x3823)+P7(x3821,x3822,x3823)+~E(f4(x3822,x3821,x3823),f2(x3823))
% 0.86/0.92 [413]E(x4131,x4132)+~E(f7(x4133,x4131,a1),f7(x4133,x4132,a1))+E(x4133,f2(a1))
% 0.86/0.92 [414]E(x4141,x4142)+~E(f7(x4141,x4143,a1),f7(x4142,x4143,a1))+E(x4143,f2(a1))
% 0.86/0.92 [415]~P46(x4153)+~P7(x4151,x4152,x4153)+P7(x4151,f5(x4152,x4153),x4153)
% 0.86/0.92 [416]~P46(x4162)+~P7(x4161,x4163,x4162)+P7(f5(x4161,x4162),x4163,x4162)
% 0.86/0.92 [442]~P46(x4423)+P7(x4421,x4422,x4423)+~P7(x4421,f5(x4422,x4423),x4423)
% 0.86/0.92 [443]~P46(x4433)+P6(x4431,x4432,x4433)+~P6(f5(x4431,x4433),x4432,x4433)
% 0.86/0.92 [444]~P46(x4443)+P7(x4441,x4442,x4443)+~P7(f5(x4441,x4443),x4442,x4443)
% 0.86/0.92 [445]~P23(x4453)+P8(x4451,x4452,x4453)+~P8(f5(x4451,x4453),x4452,x4453)
% 0.86/0.92 [446]~P44(x4462)+~P6(x4461,x4463,a1)+P6(f9(x4461,x4462),f9(x4463,x4462),x4462)
% 0.86/0.92 [447]~P44(x4472)+~P8(x4471,x4473,a1)+P8(f9(x4471,x4472),f9(x4473,x4472),x4472)
% 0.86/0.92 [468]~P6(x4681,x4683,a1)+~P6(x4683,x4682,a1)+P6(f10(x4681),x4682,a1)
% 0.86/0.92 [469]~P44(x4693)+~P6(f9(x4691,x4693),f9(x4692,x4693),x4693)+P6(x4691,x4692,a1)
% 0.86/0.92 [470]~P44(x4703)+~P8(f9(x4701,x4703),f9(x4702,x4703),x4703)+P8(x4701,x4702,a1)
% 0.86/0.92 [517]E(x5171,x5172)+~E(f7(x5173,x5171,a1),f7(x5173,x5172,a1))+~P6(f2(a1),x5173,a1)
% 0.86/0.92 [519]~P24(x5193)+~P6(x5191,x5192,x5193)+P6(f3(x5191,x5192,x5193),f2(x5193),x5193)
% 0.86/0.92 [520]~P24(x5203)+~P8(x5201,x5202,x5203)+P8(f3(x5201,x5202,x5203),f2(x5203),x5203)
% 0.86/0.92 [565]~P7(x5651,x5653,a1)+~P7(x5651,x5652,a1)+P7(x5651,f3(x5652,x5653,a1),a1)
% 0.86/0.92 [566]~P24(x5663)+P6(x5661,x5662,x5663)+~P6(f3(x5661,x5662,x5663),f2(x5663),x5663)
% 0.86/0.92 [567]~P24(x5673)+P8(x5671,x5672,x5673)+~P8(f3(x5671,x5672,x5673),f2(x5673),x5673)
% 0.86/0.92 [696]~P6(x6961,x6963,a1)+~P8(x6962,x6961,a1)+P6(f3(x6961,x6962,a1),f3(x6963,x6962,a1),a1)
% 0.86/0.92 [697]~P6(x6973,x6972,a1)+~P6(x6973,x6971,a1)+P6(f3(x6971,x6972,a1),f3(x6971,x6973,a1),a1)
% 0.86/0.92 [701]~P6(x7011,x7013,a1)+P6(f7(x7011,x7012,a1),f7(x7013,x7012,a1),a1)+~P6(f2(a1),x7012,a1)
% 0.86/0.92 [704]~P6(x7042,x7043,a1)+P6(f7(x7041,x7042,a1),f7(x7041,x7043,a1),a1)+~P6(f2(a1),x7041,a1)
% 0.86/0.92 [757]P7(x7572,x7573,a1)+E(x7571,f2(a1))+~P7(f7(x7571,x7572,a1),f7(x7571,x7573,a1),a1)
% 0.86/0.92 [766]~P8(x7663,x7662,a1)+~P8(f6(x7661,x7663,a1),x7662,a1)+P8(x7661,f3(x7662,x7663,a1),a1)
% 0.86/0.92 [767]~P8(x7672,x7673,a1)+~P8(x7671,f3(x7673,x7672,a1),a1)+P8(f6(x7671,x7672,a1),x7673,a1)
% 0.86/0.92 [807]P7(x8071,x8072,a1)+~P7(f7(x8073,x8071,a1),f7(x8073,x8072,a1),a1)+~P6(f2(a1),x8073,a1)
% 0.86/0.92 [809]P8(x8091,x8092,a1)+~P8(f7(x8093,x8091,a1),f7(x8093,x8092,a1),a1)+~P6(f2(a1),x8093,a1)
% 0.86/0.92 [810]P8(x8101,x8102,a1)+~P8(f7(x8101,x8103,a1),f7(x8102,x8103,a1),a1)+~P6(f2(a1),x8103,a1)
% 0.86/0.92 [543]~P46(x5432)+~P8(f2(x5432),x5433,x5432)+E(f7(f5(x5431,x5432),x5433,x5432),f5(f7(x5431,x5433,x5432),x5432))
% 0.86/0.92 [550]~P55(x5502)+~P8(x5503,x5501,a1)+E(f3(f9(x5501,x5502),f9(x5503,x5502),x5502),f9(f3(x5501,x5503,a1),x5502))
% 0.86/0.92 [725]~P47(x7252)+E(x7251,f2(x7252))+~E(f6(f7(x7253,x7253,x7252),f7(x7251,x7251,x7252),x7252),f2(x7252))
% 0.86/0.92 [726]~P47(x7262)+E(x7261,f2(x7262))+~E(f6(f7(x7261,x7261,x7262),f7(x7263,x7263,x7262),x7262),f2(x7262))
% 0.86/0.92 [761]~P8(x7612,x7613,a1)+~P8(x7612,x7611,a1)+E(f3(f3(x7611,x7612,a1),f3(x7613,x7612,a1),a1),f3(x7611,x7613,a1))
% 0.86/0.92 [823]~P47(x8232)+E(x8231,f2(x8232))+P6(f2(x8232),f6(f7(x8233,x8233,x8232),f7(x8231,x8231,x8232),x8232),x8232)
% 0.86/0.92 [824]~P47(x8242)+E(x8241,f2(x8242))+P6(f2(x8242),f6(f7(x8241,x8241,x8242),f7(x8243,x8243,x8242),x8242),x8242)
% 0.86/0.92 [857]~P47(x8572)+E(x8571,f2(x8572))+~P8(f6(f7(x8573,x8573,x8572),f7(x8571,x8571,x8572),x8572),f2(x8572),x8572)
% 0.86/0.92 [858]~P47(x8582)+E(x8581,f2(x8582))+~P8(f6(f7(x8581,x8581,x8582),f7(x8583,x8583,x8582),x8582),f2(x8582),x8582)
% 0.86/0.92 [430]~P17(x4304)+E(x4301,x4302)+~E(f6(x4303,x4301,x4304),f6(x4303,x4302,x4304))
% 0.86/0.92 [431]~P18(x4314)+E(x4311,x4312)+~E(f6(x4313,x4311,x4314),f6(x4313,x4312,x4314))
% 0.86/0.92 [432]~P15(x4324)+E(x4321,x4322)+~E(f3(x4323,x4323,x4324),f3(x4321,x4322,x4324))
% 0.86/0.92 [433]~P18(x4334)+E(x4331,x4332)+~E(f6(x4331,x4333,x4334),f6(x4332,x4333,x4334))
% 0.86/0.92 [434]~P15(x4343)+E(x4341,x4342)+~E(f3(x4341,x4342,x4343),f3(x4344,x4344,x4343))
% 0.86/0.92 [506]~P27(x5064)+~P7(x5061,x5063,x5064)+P7(x5061,f7(x5062,x5063,x5064),x5064)
% 0.86/0.92 [507]~P27(x5074)+~P7(x5071,x5072,x5074)+P7(x5071,f7(x5072,x5073,x5074),x5074)
% 0.86/0.92 [509]~P28(x5093)+~P6(x5092,x5094,x5093)+P6(f8(x5091,x5092,x5093),x5094,x5093)
% 0.86/0.92 [511]~P28(x5113)+~P6(x5111,x5114,x5113)+P6(f8(x5111,x5112,x5113),x5114,x5113)
% 0.86/0.92 [513]~P28(x5133)+~P8(x5132,x5134,x5133)+P8(f8(x5131,x5132,x5133),x5134,x5133)
% 0.86/0.92 [515]~P28(x5153)+~P8(x5151,x5154,x5153)+P8(f8(x5151,x5152,x5153),x5154,x5153)
% 0.86/0.92 [542]~P6(x5424,x5423,a1)+P6(x5421,x5422,a1)+~E(f6(x5421,x5423,a1),f6(x5424,x5422,a1))
% 0.86/0.92 [551]~P28(x5513)+P6(x5511,x5512,x5513)+~P6(x5511,f8(x5514,x5512,x5513),x5513)
% 0.86/0.92 [552]~P28(x5523)+P6(x5521,x5522,x5523)+~P6(x5521,f8(x5522,x5524,x5523),x5523)
% 0.86/0.92 [554]~P28(x5543)+P8(x5541,x5542,x5543)+~P8(x5541,f8(x5544,x5542,x5543),x5543)
% 0.86/0.92 [556]~P28(x5563)+P8(x5561,x5562,x5563)+~P8(x5561,f8(x5562,x5564,x5563),x5563)
% 0.86/0.92 [557]~P27(x5573)+P7(x5571,x5572,x5573)+~P7(f7(x5574,x5571,x5573),x5572,x5573)
% 0.86/0.92 [558]~P27(x5583)+P7(x5581,x5582,x5583)+~P7(f7(x5581,x5584,x5583),x5582,x5583)
% 0.86/0.92 [623]~P25(x6233)+~P6(x6231,x6234,x6233)+P6(f6(x6231,x6232,x6233),f6(x6234,x6232,x6233),x6233)
% 0.86/0.92 [624]~P26(x6243)+~P6(x6241,x6244,x6243)+P6(f6(x6241,x6242,x6243),f6(x6244,x6242,x6243),x6243)
% 0.86/0.92 [625]~P25(x6253)+~P6(x6252,x6254,x6253)+P6(f6(x6251,x6252,x6253),f6(x6251,x6254,x6253),x6253)
% 0.86/0.92 [626]~P26(x6263)+~P6(x6262,x6264,x6263)+P6(f6(x6261,x6262,x6263),f6(x6261,x6264,x6263),x6263)
% 0.86/0.92 [627]~P40(x6273)+~P7(x6271,x6274,x6273)+P7(f7(x6271,x6272,x6273),f7(x6274,x6272,x6273),x6273)
% 0.86/0.92 [628]~P40(x6283)+~P7(x6282,x6284,x6283)+P7(f7(x6281,x6282,x6283),f7(x6281,x6284,x6283),x6283)
% 0.86/0.92 [629]~P3(x6293)+~P8(x6291,x6294,x6293)+P8(f6(x6291,x6292,x6293),f6(x6294,x6292,x6293),x6293)
% 0.86/0.92 [630]~P25(x6303)+~P8(x6301,x6304,x6303)+P8(f6(x6301,x6302,x6303),f6(x6304,x6302,x6303),x6303)
% 0.86/0.92 [631]~P3(x6313)+~P8(x6312,x6314,x6313)+P8(f6(x6311,x6312,x6313),f6(x6311,x6314,x6313),x6313)
% 0.86/0.92 [632]~P25(x6323)+~P8(x6322,x6324,x6323)+P8(f6(x6321,x6322,x6323),f6(x6321,x6324,x6323),x6323)
% 0.86/0.92 [695]~P6(x6952,x6954,a1)+~P6(x6951,x6953,a1)+P6(f6(x6951,x6952,a1),f6(x6953,x6954,a1),a1)
% 0.86/0.92 [698]~P8(x6982,x6984,a1)+~P8(x6981,x6983,a1)+P8(f7(x6981,x6982,a1),f7(x6983,x6984,a1),a1)
% 0.86/0.92 [699]~P8(x6992,x6994,a1)+~P8(x6991,x6993,a1)+P8(f6(x6991,x6992,a1),f6(x6993,x6994,a1),a1)
% 0.86/0.92 [762]~P25(x7623)+P6(x7621,x7622,x7623)+~P6(f6(x7624,x7621,x7623),f6(x7624,x7622,x7623),x7623)
% 0.86/0.92 [763]~P25(x7633)+P6(x7631,x7632,x7633)+~P6(f6(x7631,x7634,x7633),f6(x7632,x7634,x7633),x7633)
% 0.86/0.92 [764]~P25(x7643)+P8(x7641,x7642,x7643)+~P8(f6(x7644,x7641,x7643),f6(x7644,x7642,x7643),x7643)
% 0.86/0.92 [765]~P25(x7653)+P8(x7651,x7652,x7653)+~P8(f6(x7651,x7654,x7653),f6(x7652,x7654,x7653),x7653)
% 0.86/0.92 [549]~P4(x5493)+~P7(x5494,x5492,x5493)+E(f4(f4(x5491,x5492,x5493),x5494,x5493),f4(x5491,x5494,x5493))
% 0.86/0.92 [760]~P22(x7604)+~P8(f6(x7601,x7603,x7604),x7602,x7604)+P8(x7601,f6(x7602,f5(x7603,x7604),x7604),x7604)
% 0.86/0.92 [770]E(x7701,x7702)+E(x7703,f2(a1))+~E(f6(x7704,f7(x7703,x7701,a1),a1),f6(x7704,f7(x7703,x7702,a1),a1))
% 0.86/0.92 [802]~P40(x8023)+~P11(x8023)+E(f6(f7(x8021,x8022,x8023),f7(x8021,x8024,x8023),x8023),f6(f7(x8021,x8024,x8023),f7(x8021,x8022,x8023),x8023))
% 0.86/0.92 [827]~P46(x8274)+P6(x8271,f6(x8272,x8273,x8274),x8274)+~P6(f5(f3(x8271,x8272,x8274),x8274),x8273,x8274)
% 0.86/0.92 [828]~P46(x8283)+P6(f3(x8281,x8282,x8283),x8284,x8283)+~P6(f5(f3(x8284,x8281,x8283),x8283),x8282,x8283)
% 0.86/0.92 [848]E(x8481,x8482)+E(x8483,x8484)+~E(f6(f7(x8483,x8481,a1),f7(x8484,x8482,a1),a1),f6(f7(x8483,x8482,a1),f7(x8484,x8481,a1),a1))
% 0.86/0.92 [859]~P6(x8594,x8591,a1)+~P6(f2(a1),x8593,a1)+P6(f6(f7(x8591,f4(x8592,x8593,a1),a1),x8594,a1),f7(x8591,x8593,a1),a1)
% 0.86/0.92 [681]~P15(x6813)+E(f6(x6811,x6812,x6813),x6814)+~E(f6(x6811,f6(x6815,x6812,x6813),x6813),f6(x6815,x6814,x6813))
% 0.86/0.92 [854]~P8(x8543,x8542,a1)+~E(f6(f7(x8543,x8544,a1),x8541,a1),f6(f7(x8542,x8544,a1),x8545,a1))+E(x8541,f6(f7(f3(x8542,x8543,a1),x8544,a1),x8545,a1))
% 0.86/0.92 [855]~P8(x8552,x8551,a1)+~E(f6(f7(x8551,x8553,a1),x8554,a1),f6(f7(x8552,x8553,a1),x8555,a1))+E(f6(f7(f3(x8551,x8552,a1),x8553,a1),x8554,a1),x8555)
% 0.86/0.92 [873]~P8(x8733,x8732,a1)+~P6(f6(f7(x8733,x8734,a1),x8731,a1),f6(f7(x8732,x8734,a1),x8735,a1),a1)+P6(x8731,f6(f7(f3(x8732,x8733,a1),x8734,a1),x8735,a1),a1)
% 0.86/0.92 [874]~P8(x8743,x8742,a1)+~P8(f6(f7(x8743,x8744,a1),x8741,a1),f6(f7(x8742,x8744,a1),x8745,a1),a1)+P8(x8741,f6(f7(f3(x8742,x8743,a1),x8744,a1),x8745,a1),a1)
% 0.86/0.92 [875]~P8(x8752,x8751,a1)+~P6(f6(f7(x8751,x8753,a1),x8754,a1),f6(f7(x8752,x8753,a1),x8755,a1),a1)+P6(f6(f7(f3(x8751,x8752,a1),x8753,a1),x8754,a1),x8755,a1)
% 0.86/0.92 [876]~P8(x8762,x8761,a1)+~P8(f6(f7(x8761,x8763,a1),x8764,a1),f6(f7(x8762,x8763,a1),x8765,a1),a1)+P8(f6(f7(f3(x8761,x8762,a1),x8763,a1),x8764,a1),x8765,a1)
% 0.86/0.92 [881]~P8(x8811,x8814,a1)+P6(f6(f7(x8811,x8812,a1),x8813,a1),f6(f7(x8814,x8812,a1),x8815,a1),a1)+~P6(x8813,f6(f7(f3(x8814,x8811,a1),x8812,a1),x8815,a1),a1)
% 0.86/0.92 [882]~P8(x8821,x8824,a1)+P8(f6(f7(x8821,x8822,a1),x8823,a1),f6(f7(x8824,x8822,a1),x8825,a1),a1)+~P8(x8823,f6(f7(f3(x8824,x8821,a1),x8822,a1),x8825,a1),a1)
% 0.86/0.92 [883]~P8(x8834,x8831,a1)+P6(f6(f7(x8831,x8832,a1),x8833,a1),f6(f7(x8834,x8832,a1),x8835,a1),a1)+~P6(f6(f7(f3(x8831,x8834,a1),x8832,a1),x8833,a1),x8835,a1)
% 0.86/0.92 [884]~P8(x8844,x8841,a1)+P8(f6(f7(x8841,x8842,a1),x8843,a1),f6(f7(x8844,x8842,a1),x8845,a1),a1)+~P8(f6(f7(f3(x8841,x8844,a1),x8842,a1),x8843,a1),x8845,a1)
% 0.86/0.92 [852]~P56(x8524)+~E(f6(f7(x8523,x8525,x8524),x8521,x8524),f6(f7(x8522,x8525,x8524),x8526,x8524))+E(x8521,f6(f7(f3(x8522,x8523,x8524),x8525,x8524),x8526,x8524))
% 0.86/0.92 [853]~P56(x8533)+~E(f6(f7(x8531,x8534,x8533),x8535,x8533),f6(f7(x8532,x8534,x8533),x8536,x8533))+E(f6(f7(f3(x8531,x8532,x8533),x8534,x8533),x8535,x8533),x8536)
% 0.86/0.92 [869]~P51(x8694)+~P6(f6(f7(x8693,x8695,x8694),x8691,x8694),f6(f7(x8692,x8695,x8694),x8696,x8694),x8694)+P6(x8691,f6(f7(f3(x8692,x8693,x8694),x8695,x8694),x8696,x8694),x8694)
% 0.86/0.92 [870]~P51(x8704)+~P8(f6(f7(x8703,x8705,x8704),x8701,x8704),f6(f7(x8702,x8705,x8704),x8706,x8704),x8704)+P8(x8701,f6(f7(f3(x8702,x8703,x8704),x8705,x8704),x8706,x8704),x8704)
% 0.86/0.92 [871]~P51(x8713)+~P6(f6(f7(x8711,x8714,x8713),x8715,x8713),f6(f7(x8712,x8714,x8713),x8716,x8713),x8713)+P6(f6(f7(f3(x8711,x8712,x8713),x8714,x8713),x8715,x8713),x8716,x8713)
% 0.86/0.92 [872]~P51(x8723)+~P8(f6(f7(x8721,x8724,x8723),x8725,x8723),f6(f7(x8722,x8724,x8723),x8726,x8723),x8723)+P8(f6(f7(f3(x8721,x8722,x8723),x8724,x8723),x8725,x8723),x8726,x8723)
% 0.86/0.92 [877]~P51(x8773)+P6(f6(f7(x8771,x8772,x8773),x8774,x8773),f6(f7(x8775,x8772,x8773),x8776,x8773),x8773)+~P6(x8774,f6(f7(f3(x8775,x8771,x8773),x8772,x8773),x8776,x8773),x8773)
% 0.86/0.92 [878]~P51(x8783)+P8(f6(f7(x8781,x8782,x8783),x8784,x8783),f6(f7(x8785,x8782,x8783),x8786,x8783),x8783)+~P8(x8784,f6(f7(f3(x8785,x8781,x8783),x8782,x8783),x8786,x8783),x8783)
% 0.86/0.92 [879]~P51(x8793)+P6(f6(f7(x8791,x8792,x8793),x8794,x8793),f6(f7(x8795,x8792,x8793),x8796,x8793),x8793)+~P6(f6(f7(f3(x8791,x8795,x8793),x8792,x8793),x8794,x8793),x8796,x8793)
% 0.86/0.92 [880]~P51(x8803)+P8(f6(f7(x8801,x8802,x8803),x8804,x8803),f6(f7(x8805,x8802,x8803),x8806,x8803),x8803)+~P8(f6(f7(f3(x8801,x8805,x8803),x8802,x8803),x8804,x8803),x8806,x8803)
% 0.86/0.92 [269]~P28(x2692)+~P22(x2692)+P6(x2691,f2(x2692),x2692)+E(f5(x2691,x2692),x2691)
% 0.86/0.92 [522]P6(x5221,x5222,a1)+~P5(x5222,a1)+P5(x5221,a1)+~P5(f3(x5221,x5222,a1),a1)
% 0.86/0.92 [523]P6(x5232,x5231,a1)+~P5(x5232,a1)+P5(x5231,a1)+~P5(f3(x5232,x5231,a1),a1)
% 0.86/0.92 [328]P6(x3281,x3282,x3283)+~P28(x3283)+E(x3281,x3282)+P6(x3282,x3281,x3283)
% 0.86/0.92 [329]P6(x3291,x3292,x3293)+~P46(x3293)+E(x3291,x3292)+P6(x3292,x3291,x3293)
% 0.86/0.92 [373]~P28(x3733)+~P8(x3731,x3732,x3733)+E(x3731,x3732)+P6(x3731,x3732,x3733)
% 0.86/0.92 [379]~P29(x3793)+~P8(x3791,x3792,x3793)+E(x3791,x3792)+P6(x3791,x3792,x3793)
% 0.86/0.92 [437]~P8(x4372,x4371,x4373)+~P8(x4371,x4372,x4373)+E(x4371,x4372)+~P29(x4373)
% 0.86/0.92 [450]P8(x4502,x4501,x4503)+~P31(x4503)+~P8(x4501,x4502,x4503)+P6(x4501,x4502,x4503)
% 0.86/0.92 [298]~P40(x2982)+~P11(x2982)+~E(f6(x2983,x2981,x2982),x2983)+E(x2981,f2(x2982))
% 0.86/0.92 [300]~P40(x3003)+~P11(x3003)+E(x3001,x3002)+~E(f3(x3001,x3002,x3003),f2(x3003))
% 0.86/0.92 [303]~P54(x3032)+~E(f7(x3033,x3031,x3032),f2(x3032))+E(x3031,f2(x3032))+E(x3033,f2(x3032))
% 0.86/0.92 [305]~P36(x3052)+~E(f7(x3053,x3051,x3052),f2(x3052))+E(x3051,f2(x3052))+E(x3053,f2(x3052))
% 0.86/0.92 [595]E(x5951,x5952)+~P8(x5953,x5952,a1)+~P8(x5953,x5951,a1)+~E(f3(x5951,x5953,a1),f3(x5952,x5953,a1))
% 0.86/0.92 [636]~P47(x6361)+~P6(x6363,f2(x6361),x6361)+~P6(x6362,f2(x6361),x6361)+P6(f2(x6361),f7(x6362,x6363,x6361),x6361)
% 0.86/0.92 [637]~P47(x6371)+~P8(x6373,f2(x6371),x6371)+~P8(x6372,f2(x6371),x6371)+P8(f2(x6371),f7(x6372,x6373,x6371),x6371)
% 0.86/0.92 [639]~P51(x6391)+~P8(x6393,f2(x6391),x6391)+~P8(x6392,f2(x6391),x6391)+P8(f2(x6391),f7(x6392,x6393,x6391),x6391)
% 0.86/0.92 [640]~P1(x6401)+~P6(f2(x6401),x6403,x6401)+~P6(f2(x6401),x6402,x6401)+P6(f2(x6401),f7(x6402,x6403,x6401),x6401)
% 0.86/0.92 [641]~P2(x6411)+~P6(f2(x6411),x6413,x6411)+~P6(f2(x6411),x6412,x6411)+P6(f2(x6411),f6(x6412,x6413,x6411),x6411)
% 0.86/0.92 [642]~P2(x6421)+~P6(f2(x6421),x6423,x6421)+~P8(f2(x6421),x6422,x6421)+P6(f2(x6421),f6(x6422,x6423,x6421),x6421)
% 0.86/0.92 [643]~P2(x6431)+~P6(f2(x6431),x6432,x6431)+~P8(f2(x6431),x6433,x6431)+P6(f2(x6431),f6(x6432,x6433,x6431),x6431)
% 0.86/0.92 [644]~P47(x6441)+~P8(f2(x6441),x6443,x6441)+~P8(f2(x6441),x6442,x6441)+P8(f2(x6441),f7(x6442,x6443,x6441),x6441)
% 0.86/0.92 [645]~P51(x6451)+~P8(f2(x6451),x6453,x6451)+~P8(f2(x6451),x6452,x6451)+P8(f2(x6451),f7(x6452,x6453,x6451),x6451)
% 0.86/0.92 [646]~P49(x6461)+~P8(f2(x6461),x6463,x6461)+~P8(f2(x6461),x6462,x6461)+P8(f2(x6461),f7(x6462,x6463,x6461),x6461)
% 0.86/0.92 [647]~P2(x6471)+~P8(f2(x6471),x6473,x6471)+~P8(f2(x6471),x6472,x6471)+P8(f2(x6471),f6(x6472,x6473,x6471),x6471)
% 0.86/0.92 [648]~P2(x6483)+~P6(x6482,f2(x6483),x6483)+~P6(x6481,f2(x6483),x6483)+P6(f6(x6481,x6482,x6483),f2(x6483),x6483)
% 0.86/0.92 [649]~P2(x6493)+~P6(x6492,f2(x6493),x6493)+~P8(x6491,f2(x6493),x6493)+P6(f6(x6491,x6492,x6493),f2(x6493),x6493)
% 0.86/0.92 [650]~P2(x6503)+~P6(x6501,f2(x6503),x6503)+~P8(x6502,f2(x6503),x6503)+P6(f6(x6501,x6502,x6503),f2(x6503),x6503)
% 0.86/0.92 [651]~P2(x6513)+~P8(x6512,f2(x6513),x6513)+~P8(x6511,f2(x6513),x6513)+P8(f6(x6511,x6512,x6513),f2(x6513),x6513)
% 0.86/0.92 [652]~P1(x6523)+~P6(x6522,f2(x6523),x6523)+~P6(f2(x6523),x6521,x6523)+P6(f7(x6521,x6522,x6523),f2(x6523),x6523)
% 0.86/0.92 [654]~P1(x6543)+~P6(x6541,f2(x6543),x6543)+~P6(f2(x6543),x6542,x6543)+P6(f7(x6541,x6542,x6543),f2(x6543),x6543)
% 0.86/0.92 [655]~P47(x6553)+~P8(x6552,f2(x6553),x6553)+~P8(f2(x6553),x6551,x6553)+P8(f7(x6551,x6552,x6553),f2(x6553),x6553)
% 0.86/0.92 [656]~P47(x6563)+~P8(x6561,f2(x6563),x6563)+~P8(f2(x6563),x6562,x6563)+P8(f7(x6561,x6562,x6563),f2(x6563),x6563)
% 0.86/0.92 [658]~P49(x6583)+~P8(x6582,f2(x6583),x6583)+~P8(f2(x6583),x6581,x6583)+P8(f7(x6581,x6582,x6583),f2(x6583),x6583)
% 0.86/0.92 [661]~P49(x6613)+~P8(x6611,f2(x6613),x6613)+~P8(f2(x6613),x6612,x6613)+P8(f7(x6611,x6612,x6613),f2(x6613),x6613)
% 0.86/0.92 [668]~P47(x6682)+~P8(f7(x6683,x6681,x6682),f2(x6682),x6682)+P8(x6681,f2(x6682),x6682)+P8(x6683,f2(x6682),x6682)
% 0.86/0.92 [669]~P47(x6692)+~P8(f2(x6692),f7(x6693,x6691,x6692),x6692)+P8(x6691,f2(x6692),x6692)+P8(f2(x6692),x6693,x6692)
% 0.86/0.92 [670]~P47(x6702)+~P8(f2(x6702),f7(x6701,x6703,x6702),x6702)+P8(x6701,f2(x6702),x6702)+P8(f2(x6702),x6703,x6702)
% 0.86/0.92 [671]~P47(x6712)+~P8(f2(x6712),f7(x6713,x6711,x6712),x6712)+P8(x6711,f2(x6712),x6712)+P8(f2(x6712),x6711,x6712)
% 0.86/0.92 [672]~P47(x6722)+~P8(f2(x6722),f7(x6721,x6723,x6722),x6722)+P8(x6721,f2(x6722),x6722)+P8(f2(x6722),x6721,x6722)
% 0.86/0.92 [673]~P47(x6732)+~P8(f7(x6733,x6731,x6732),f2(x6732),x6732)+P8(x6731,f2(x6732),x6732)+P8(f2(x6732),x6731,x6732)
% 0.86/0.92 [674]~P47(x6742)+~P8(f7(x6741,x6743,x6742),f2(x6742),x6742)+P8(x6741,f2(x6742),x6742)+P8(f2(x6742),x6741,x6742)
% 0.86/0.92 [675]~P47(x6751)+~P8(f7(x6752,x6753,x6751),f2(x6751),x6751)+P8(f2(x6751),x6752,x6751)+P8(f2(x6751),x6753,x6751)
% 0.86/0.92 [693]~P1(x6931)+~P6(f2(x6931),f7(x6933,x6932,x6931),x6931)+P6(f2(x6931),x6932,x6931)+~P6(f2(x6931),x6933,x6931)
% 0.86/0.92 [694]~P1(x6941)+~P6(f2(x6941),f7(x6942,x6943,x6941),x6941)+P6(f2(x6941),x6942,x6941)+~P6(f2(x6941),x6943,x6941)
% 0.86/0.92 [758]~P8(x7583,x7582,a1)+P7(x7581,x7582,a1)+~P7(x7581,x7583,a1)+~P7(x7581,f3(x7582,x7583,a1),a1)
% 0.86/0.92 [759]~P8(x7592,x7593,a1)+P7(x7591,x7592,a1)+~P7(x7591,x7593,a1)+~P7(x7591,f3(x7593,x7592,a1),a1)
% 0.86/0.92 [825]~P8(x8253,x8251,a1)+P6(x8251,x8252,a1)+~P8(x8253,x8252,a1)+~P6(f3(x8251,x8253,a1),f3(x8252,x8253,a1),a1)
% 0.86/0.92 [826]~P8(x8263,x8261,a1)+P8(x8261,x8262,a1)+~P8(x8263,x8262,a1)+~P8(f3(x8261,x8263,a1),f3(x8262,x8263,a1),a1)
% 0.86/0.92 [689]~P52(x6892)+~P8(x6893,f2(x6892),x6892)+~P8(x6891,f2(x6892),x6892)+E(f7(f5(x6891,x6892),f5(x6893,x6892),x6892),f5(f7(x6891,x6893,x6892),x6892))
% 0.86/0.92 [690]~P52(x6902)+~P8(x6903,f2(x6902),x6902)+~P8(f2(x6902),x6901,x6902)+E(f7(f5(x6901,x6902),f5(x6903,x6902),x6902),f5(f7(x6901,x6903,x6902),x6902))
% 0.86/0.92 [691]~P52(x6912)+~P8(x6911,f2(x6912),x6912)+~P8(f2(x6912),x6913,x6912)+E(f7(f5(x6911,x6912),f5(x6913,x6912),x6912),f5(f7(x6911,x6913,x6912),x6912))
% 0.86/0.92 [692]~P52(x6922)+~P8(f2(x6922),x6923,x6922)+~P8(f2(x6922),x6921,x6922)+E(f7(f5(x6921,x6922),f5(x6923,x6922),x6922),f5(f7(x6921,x6923,x6922),x6922))
% 0.86/0.92 [476]~P29(x4763)+~P6(x4761,x4764,x4763)+P6(x4761,x4762,x4763)+~P6(x4764,x4762,x4763)
% 0.86/0.92 [477]~P29(x4773)+~P8(x4771,x4774,x4773)+P6(x4771,x4772,x4773)+~P6(x4774,x4772,x4773)
% 0.86/0.92 [478]~P29(x4783)+~P8(x4784,x4782,x4783)+P6(x4781,x4782,x4783)+~P6(x4781,x4784,x4783)
% 0.86/0.92 [479]~P31(x4793)+~P6(x4791,x4794,x4793)+P6(x4791,x4792,x4793)+~P6(x4794,x4792,x4793)
% 0.86/0.92 [480]~P31(x4803)+~P8(x4801,x4804,x4803)+P6(x4801,x4802,x4803)+~P6(x4804,x4802,x4803)
% 0.86/0.92 [481]~P31(x4813)+~P8(x4814,x4812,x4813)+P6(x4811,x4812,x4813)+~P6(x4811,x4814,x4813)
% 0.86/0.92 [482]~P27(x4823)+~P7(x4821,x4824,x4823)+P7(x4821,x4822,x4823)+~P7(x4824,x4822,x4823)
% 0.86/0.92 [483]~P29(x4833)+~P8(x4831,x4834,x4833)+P8(x4831,x4832,x4833)+~P8(x4834,x4832,x4833)
% 0.86/0.92 [484]~P31(x4843)+~P8(x4841,x4844,x4843)+P8(x4841,x4842,x4843)+~P8(x4844,x4842,x4843)
% 0.86/0.92 [441]~P40(x4414)+~P11(x4414)+E(x4411,x4412)+~E(f6(x4413,x4411,x4414),f6(x4413,x4412,x4414))
% 0.86/0.92 [598]~P28(x5984)+~P6(x5981,x5983,x5984)+~P6(x5981,x5982,x5984)+P6(x5981,f8(x5982,x5983,x5984),x5984)
% 0.86/0.92 [599]~P27(x5994)+~P7(x5991,x5993,x5994)+~P7(x5991,x5992,x5994)+P7(x5991,f6(x5992,x5993,x5994),x5994)
% 0.86/0.92 [600]~P34(x6004)+~P7(x6001,x6003,x6004)+~P7(x6001,x6002,x6004)+P7(x6001,f3(x6002,x6003,x6004),x6004)
% 0.86/0.92 [602]~P4(x6024)+~P7(x6021,x6023,x6024)+~P7(x6021,x6022,x6024)+P7(x6021,f4(x6022,x6023,x6024),x6024)
% 0.86/0.92 [605]~P28(x6054)+~P8(x6051,x6053,x6054)+~P8(x6051,x6052,x6054)+P8(x6051,f8(x6052,x6053,x6054),x6054)
% 0.86/0.92 [617]~P44(x6174)+~P6(x6171,x6173,x6174)+~P6(f2(x6174),x6172,x6174)+P6(x6171,f6(x6172,x6173,x6174),x6174)
% 0.86/0.92 [664]~P28(x6643)+P6(x6641,x6642,x6643)+P6(x6644,x6642,x6643)+~P6(f8(x6641,x6644,x6643),x6642,x6643)
% 0.86/0.92 [665]~P28(x6653)+P8(x6651,x6652,x6653)+P8(x6654,x6652,x6653)+~P8(f8(x6651,x6654,x6653),x6652,x6653)
% 0.86/0.92 [683]~P4(x6833)+P7(x6831,x6832,x6833)+~P7(x6831,x6834,x6833)+~P7(x6831,f4(x6832,x6834,x6833),x6833)
% 0.86/0.92 [734]~P47(x7343)+~P6(x7344,x7341,x7343)+~P6(x7342,f2(x7343),x7343)+P6(f7(x7341,x7342,x7343),f7(x7344,x7342,x7343),x7343)
% 0.86/0.92 [737]~P47(x7373)+~P6(x7374,x7372,x7373)+~P6(x7371,f2(x7373),x7373)+P6(f7(x7371,x7372,x7373),f7(x7371,x7374,x7373),x7373)
% 0.86/0.92 [738]~P51(x7383)+~P8(x7384,x7381,x7383)+~P8(x7382,f2(x7383),x7383)+P8(f7(x7381,x7382,x7383),f7(x7384,x7382,x7383),x7383)
% 0.86/0.92 [739]~P47(x7393)+~P8(x7394,x7392,x7393)+~P6(x7391,f2(x7393),x7393)+P8(f7(x7391,x7392,x7393),f7(x7391,x7394,x7393),x7393)
% 0.86/0.92 [740]~P51(x7403)+~P8(x7404,x7402,x7403)+~P8(x7401,f2(x7403),x7403)+P8(f7(x7401,x7402,x7403),f7(x7401,x7404,x7403),x7403)
% 0.86/0.92 [741]~P1(x7413)+~P6(x7411,x7414,x7413)+~P6(f2(x7413),x7412,x7413)+P6(f7(x7411,x7412,x7413),f7(x7414,x7412,x7413),x7413)
% 0.86/0.92 [742]~P47(x7423)+~P6(x7421,x7424,x7423)+~P6(f2(x7423),x7422,x7423)+P6(f7(x7421,x7422,x7423),f7(x7424,x7422,x7423),x7423)
% 0.86/0.92 [743]~P1(x7433)+~P6(x7432,x7434,x7433)+~P6(f2(x7433),x7431,x7433)+P6(f7(x7431,x7432,x7433),f7(x7431,x7434,x7433),x7433)
% 0.86/0.92 [745]~P47(x7453)+~P6(x7452,x7454,x7453)+~P6(f2(x7453),x7451,x7453)+P6(f7(x7451,x7452,x7453),f7(x7451,x7454,x7453),x7453)
% 0.86/0.92 [746]~P45(x7463)+~P6(x7462,x7464,x7463)+~P6(f2(x7463),x7461,x7463)+P6(f7(x7461,x7462,x7463),f7(x7461,x7464,x7463),x7463)
% 0.86/0.92 [747]~P39(x7473)+~P8(x7471,x7474,x7473)+~P8(f2(x7473),x7472,x7473)+P8(f7(x7471,x7472,x7473),f7(x7474,x7472,x7473),x7473)
% 0.86/0.92 [748]~P47(x7483)+~P8(x7482,x7484,x7483)+~P6(f2(x7483),x7481,x7483)+P8(f7(x7481,x7482,x7483),f7(x7481,x7484,x7483),x7483)
% 0.86/0.92 [749]~P38(x7493)+~P8(x7492,x7494,x7493)+~P8(f2(x7493),x7491,x7493)+P8(f7(x7491,x7492,x7493),f7(x7491,x7494,x7493),x7493)
% 0.86/0.92 [750]~P39(x7503)+~P8(x7502,x7504,x7503)+~P8(f2(x7503),x7501,x7503)+P8(f7(x7501,x7502,x7503),f7(x7501,x7504,x7503),x7503)
% 0.86/0.92 [768]~P40(x7682)+P7(x7683,x7684,x7682)+~P7(f7(x7681,x7683,x7682),f7(x7681,x7684,x7682),x7682)+E(x7681,f2(x7682))
% 0.86/0.92 [769]~P40(x7692)+P7(x7693,x7694,x7692)+~P7(f7(x7693,x7691,x7692),f7(x7694,x7691,x7692),x7692)+E(x7691,f2(x7692))
% 0.86/0.92 [783]P6(x7832,x7831,x7833)+~P47(x7833)+P6(x7831,x7832,x7833)+~P6(f7(x7834,x7831,x7833),f7(x7834,x7832,x7833),x7833)
% 0.86/0.92 [784]P6(x7842,x7841,x7843)+~P47(x7843)+P6(x7841,x7842,x7843)+~P6(f7(x7841,x7844,x7843),f7(x7842,x7844,x7843),x7843)
% 0.86/0.92 [797]~P47(x7973)+P6(x7971,x7972,x7973)+~P6(f7(x7971,x7974,x7973),f7(x7972,x7974,x7973),x7973)+P6(x7974,f2(x7973),x7973)
% 0.86/0.92 [798]~P47(x7983)+P6(x7981,x7982,x7983)+~P6(f7(x7984,x7981,x7983),f7(x7984,x7982,x7983),x7983)+P6(x7984,f2(x7983),x7983)
% 0.86/0.92 [799]~P47(x7993)+P6(x7991,x7992,x7993)+~P6(f7(x7994,x7992,x7993),f7(x7994,x7991,x7993),x7993)+P6(f2(x7993),x7994,x7993)
% 0.86/0.92 [800]~P47(x8003)+P6(x8001,x8002,x8003)+~P6(f7(x8002,x8004,x8003),f7(x8001,x8004,x8003),x8003)+P6(f2(x8003),x8004,x8003)
% 0.86/0.92 [803]~P47(x8032)+~P6(f7(x8033,x8031,x8032),f7(x8034,x8031,x8032),x8032)+P6(x8031,f2(x8032),x8032)+P6(f2(x8032),x8031,x8032)
% 0.86/0.92 [804]~P47(x8042)+~P6(f7(x8041,x8043,x8042),f7(x8041,x8044,x8042),x8042)+P6(x8041,f2(x8042),x8042)+P6(f2(x8042),x8041,x8042)
% 0.86/0.92 [811]~P47(x8113)+P6(x8111,x8112,x8113)+~P6(f7(x8114,x8112,x8113),f7(x8114,x8111,x8113),x8113)+~P6(x8114,f2(x8113),x8113)
% 0.86/0.92 [812]~P47(x8123)+P8(x8121,x8122,x8123)+~P8(f7(x8124,x8122,x8123),f7(x8124,x8121,x8123),x8123)+~P6(x8124,f2(x8123),x8123)
% 0.86/0.92 [813]~P1(x8133)+P6(x8131,x8132,x8133)+~P6(f7(x8134,x8131,x8133),f7(x8134,x8132,x8133),x8133)+~P8(f2(x8133),x8134,x8133)
% 0.86/0.92 [814]~P1(x8143)+P6(x8141,x8142,x8143)+~P6(f7(x8141,x8144,x8143),f7(x8142,x8144,x8143),x8143)+~P8(f2(x8143),x8144,x8143)
% 0.86/0.92 [815]~P47(x8153)+P6(x8151,x8152,x8153)+~P6(f7(x8154,x8151,x8153),f7(x8154,x8152,x8153),x8153)+~P6(f2(x8153),x8154,x8153)
% 0.86/0.92 [816]~P43(x8163)+P6(x8161,x8162,x8163)+~P6(f7(x8164,x8161,x8163),f7(x8164,x8162,x8163),x8163)+~P8(f2(x8163),x8164,x8163)
% 0.86/0.92 [817]~P43(x8173)+P6(x8171,x8172,x8173)+~P6(f7(x8171,x8174,x8173),f7(x8172,x8174,x8173),x8173)+~P8(f2(x8173),x8174,x8173)
% 0.86/0.92 [818]~P1(x8183)+P8(x8181,x8182,x8183)+~P8(f7(x8184,x8181,x8183),f7(x8184,x8182,x8183),x8183)+~P6(f2(x8183),x8184,x8183)
% 0.86/0.92 [819]~P1(x8193)+P8(x8191,x8192,x8193)+~P8(f7(x8191,x8194,x8193),f7(x8192,x8194,x8193),x8193)+~P6(f2(x8193),x8194,x8193)
% 0.86/0.92 [820]~P47(x8203)+P8(x8201,x8202,x8203)+~P8(f7(x8204,x8201,x8203),f7(x8204,x8202,x8203),x8203)+~P6(f2(x8203),x8204,x8203)
% 0.86/0.92 [846]~P46(x8463)+~P6(x8461,f6(x8462,x8464,x8463),x8463)+~P6(f3(x8462,x8464,x8463),x8461,x8463)+P6(f5(f3(x8461,x8462,x8463),x8463),x8464,x8463)
% 0.86/0.92 [561]~P24(x5613)+~P6(x5614,x5615,x5613)+P6(x5611,x5612,x5613)+~E(f3(x5614,x5615,x5613),f3(x5611,x5612,x5613))
% 0.86/0.92 [562]~P24(x5623)+~P6(x5624,x5625,x5623)+P6(x5621,x5622,x5623)+~E(f3(x5621,x5622,x5623),f3(x5624,x5625,x5623))
% 0.86/0.92 [563]~P24(x5633)+~P8(x5635,x5634,x5633)+P8(x5631,x5632,x5633)+~E(f3(x5634,x5635,x5633),f3(x5632,x5631,x5633))
% 0.86/0.92 [564]~P24(x5643)+~P8(x5645,x5644,x5643)+P8(x5641,x5642,x5643)+~E(f3(x5642,x5641,x5643),f3(x5644,x5645,x5643))
% 0.86/0.92 [727]~P26(x7273)+~P6(x7272,x7275,x7273)+~P6(x7271,x7274,x7273)+P6(f6(x7271,x7272,x7273),f6(x7274,x7275,x7273),x7273)
% 0.86/0.92 [728]~P26(x7283)+~P6(x7282,x7285,x7283)+~P8(x7281,x7284,x7283)+P6(f6(x7281,x7282,x7283),f6(x7284,x7285,x7283),x7283)
% 0.86/0.92 [729]~P26(x7293)+~P6(x7291,x7294,x7293)+~P8(x7292,x7295,x7293)+P6(f6(x7291,x7292,x7293),f6(x7294,x7295,x7293),x7293)
% 0.86/0.92 [730]~P27(x7303)+~P7(x7302,x7305,x7303)+~P7(x7301,x7304,x7303)+P7(f7(x7301,x7302,x7303),f7(x7304,x7305,x7303),x7303)
% 0.86/0.92 [731]~P3(x7313)+~P8(x7312,x7315,x7313)+~P8(x7311,x7314,x7313)+P8(f6(x7311,x7312,x7313),f6(x7314,x7315,x7313),x7313)
% 0.86/0.92 [773]~P24(x7734)+~P8(x7735,x7733,x7734)+~P8(x7731,f6(x7732,x7735,x7734),x7734)+P8(x7731,f6(x7732,x7733,x7734),x7734)
% 0.86/0.92 [829]~P46(x8292)+~P6(f5(x8291,x8292),x8294,x8292)+~P6(f5(x8293,x8292),x8295,x8292)+P6(f7(f5(x8291,x8292),f5(x8293,x8292),x8292),f7(x8294,x8295,x8292),x8292)
% 0.86/0.92 [838]~P4(x8383)+~E(f4(x8381,x8384,x8383),f4(x8385,x8384,x8383))+~E(f4(x8382,x8384,x8383),f4(x8386,x8384,x8383))+E(f4(f7(x8381,x8382,x8383),x8384,x8383),f4(f7(x8385,x8386,x8383),x8384,x8383))
% 0.86/0.92 [839]~P4(x8393)+~E(f4(x8391,x8394,x8393),f4(x8395,x8394,x8393))+~E(f4(x8392,x8394,x8393),f4(x8396,x8394,x8393))+E(f4(f6(x8391,x8392,x8393),x8394,x8393),f4(f6(x8395,x8396,x8393),x8394,x8393))
% 0.86/0.92 [840]~P9(x8403)+~E(f4(x8401,x8404,x8403),f4(x8405,x8404,x8403))+~E(f4(x8402,x8404,x8403),f4(x8406,x8404,x8403))+E(f4(f3(x8401,x8402,x8403),x8404,x8403),f4(f3(x8405,x8406,x8403),x8404,x8403))
% 0.86/0.92 [534]~P2(x5342)+~P8(f2(x5342),x5341,x5342)+~P8(f2(x5342),x5343,x5342)+~E(f6(x5343,x5341,x5342),f2(x5342))+E(x5341,f2(x5342))
% 0.86/0.92 [535]~P2(x5352)+~P8(f2(x5352),x5353,x5352)+~P8(f2(x5352),x5351,x5352)+~E(f6(x5351,x5353,x5352),f2(x5352))+E(x5351,f2(x5352))
% 0.86/0.92 [618]~P25(x6184)+~P12(x6184)+~P6(x6181,x6183,x6184)+~P8(f2(x6184),x6182,x6184)+P6(x6181,f6(x6182,x6183,x6184),x6184)
% 0.86/0.92 [619]~P25(x6194)+~P12(x6194)+~P8(x6191,x6193,x6194)+~P6(f2(x6194),x6192,x6194)+P6(x6191,f6(x6192,x6193,x6194),x6194)
% 0.86/0.92 [620]~P25(x6204)+~P12(x6204)+~P8(x6201,x6203,x6204)+~P8(f2(x6204),x6202,x6204)+P8(x6201,f6(x6202,x6203,x6204),x6204)
% 0.86/0.92 [621]~P25(x6214)+~P12(x6214)+~P8(x6211,x6212,x6214)+~P8(f2(x6214),x6213,x6214)+P8(x6211,f6(x6212,x6213,x6214),x6214)
% 0.86/0.92 [782]~P40(x7824)+~P11(x7824)+E(x7821,x7822)+E(x7823,f2(x7824))+~E(f6(x7825,f7(x7823,x7821,x7824),x7824),f6(x7825,f7(x7823,x7822,x7824),x7824))
% 0.86/0.92 [850]~P40(x8505)+~P11(x8505)+E(x8501,x8502)+E(x8503,x8504)+~E(f6(f7(x8503,x8501,x8505),f7(x8504,x8502,x8505),x8505),f6(f7(x8503,x8502,x8505),f7(x8504,x8501,x8505),x8505))
% 0.86/0.92 [865]~P37(x8655)+~P35(x8655)+~P7(x8651,x8654,x8655)+~P7(x8651,f6(x8652,x8656,x8655),x8655)+P7(x8651,f6(f3(x8652,f7(x8653,x8654,x8655),x8655),x8656,x8655),x8655)
% 0.86/0.92 [866]~P37(x8664)+~P35(x8664)+~P7(x8661,x8665,x8664)+P7(x8661,f6(x8662,x8663,x8664),x8664)+~P7(x8661,f6(f3(x8662,f7(x8666,x8665,x8664),x8664),x8663,x8664),x8664)
% 0.86/0.92 [830]~P1(x8303)+~P6(x8302,x8305,x8303)+~P6(x8301,x8304,x8303)+~P6(f2(x8303),x8304,x8303)+~P8(f2(x8303),x8302,x8303)+P6(f7(x8301,x8302,x8303),f7(x8304,x8305,x8303),x8303)
% 0.86/0.92 [831]~P1(x8313)+~P6(x8312,x8315,x8313)+~P6(x8311,x8314,x8313)+~P8(f2(x8313),x8312,x8313)+~P8(f2(x8313),x8311,x8313)+P6(f7(x8311,x8312,x8313),f7(x8314,x8315,x8313),x8313)
% 0.86/0.92 [832]~P1(x8323)+~P6(x8322,x8325,x8323)+~P8(x8321,x8324,x8323)+~P6(f2(x8323),x8321,x8323)+~P8(f2(x8323),x8322,x8323)+P6(f7(x8321,x8322,x8323),f7(x8324,x8325,x8323),x8323)
% 0.86/0.92 [833]~P1(x8333)+~P6(x8331,x8334,x8333)+~P8(x8332,x8335,x8333)+~P6(f2(x8333),x8332,x8333)+~P8(f2(x8333),x8331,x8333)+P6(f7(x8331,x8332,x8333),f7(x8334,x8335,x8333),x8333)
% 0.86/0.92 [834]~P50(x8343)+~P8(x8342,x8345,x8343)+~P8(x8341,x8344,x8343)+~P8(f2(x8343),x8344,x8343)+~P8(f2(x8343),x8342,x8343)+P8(f7(x8341,x8342,x8343),f7(x8344,x8345,x8343),x8343)
% 0.86/0.92 [835]~P50(x8353)+~P8(x8352,x8355,x8353)+~P8(x8351,x8354,x8353)+~P8(f2(x8353),x8352,x8353)+~P8(f2(x8353),x8351,x8353)+P8(f7(x8351,x8352,x8353),f7(x8354,x8355,x8353),x8353)
% 0.86/0.92 %EqnAxiom
% 0.86/0.92 [1]E(x11,x11)
% 0.86/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.86/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.86/0.92 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.86/0.92 [5]~E(x51,x52)+E(f3(x51,x53,x54),f3(x52,x53,x54))
% 0.86/0.92 [6]~E(x61,x62)+E(f3(x63,x61,x64),f3(x63,x62,x64))
% 0.86/0.92 [7]~E(x71,x72)+E(f3(x73,x74,x71),f3(x73,x74,x72))
% 0.86/0.92 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84))
% 0.86/0.92 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94))
% 0.86/0.92 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102))
% 0.86/0.92 [11]~E(x111,x112)+E(f7(x111,x113,x114),f7(x112,x113,x114))
% 0.86/0.92 [12]~E(x121,x122)+E(f7(x123,x121,x124),f7(x123,x122,x124))
% 0.86/0.92 [13]~E(x131,x132)+E(f7(x133,x134,x131),f7(x133,x134,x132))
% 0.86/0.92 [14]~E(x141,x142)+E(f5(x141,x143),f5(x142,x143))
% 0.86/0.92 [15]~E(x151,x152)+E(f5(x153,x151),f5(x153,x152))
% 0.86/0.92 [16]~E(x161,x162)+E(f6(x161,x163,x164),f6(x162,x163,x164))
% 0.86/0.92 [17]~E(x171,x172)+E(f6(x173,x171,x174),f6(x173,x172,x174))
% 0.86/0.92 [18]~E(x181,x182)+E(f6(x183,x184,x181),f6(x183,x184,x182))
% 0.86/0.92 [19]~E(x191,x192)+E(f9(x191,x193),f9(x192,x193))
% 0.86/0.92 [20]~E(x201,x202)+E(f9(x203,x201),f9(x203,x202))
% 0.86/0.92 [21]~E(x211,x212)+E(f10(x211),f10(x212))
% 0.86/0.92 [22]~E(x221,x222)+E(f8(x221,x223,x224),f8(x222,x223,x224))
% 0.86/0.92 [23]~E(x231,x232)+E(f8(x233,x231,x234),f8(x233,x232,x234))
% 0.86/0.92 [24]~E(x241,x242)+E(f8(x243,x244,x241),f8(x243,x244,x242))
% 0.86/0.92 [25]~P1(x251)+P1(x252)+~E(x251,x252)
% 0.86/0.92 [26]~P2(x261)+P2(x262)+~E(x261,x262)
% 0.86/0.92 [27]~P27(x271)+P27(x272)+~E(x271,x272)
% 0.86/0.92 [28]~P28(x281)+P28(x282)+~E(x281,x282)
% 0.86/0.92 [29]~P29(x291)+P29(x292)+~E(x291,x292)
% 0.86/0.92 [30]~P3(x301)+P3(x302)+~E(x301,x302)
% 0.86/0.92 [31]~P25(x311)+P25(x312)+~E(x311,x312)
% 0.86/0.92 [32]~P4(x321)+P4(x322)+~E(x321,x322)
% 0.86/0.92 [33]~P36(x331)+P36(x332)+~E(x331,x332)
% 0.86/0.92 [34]~P43(x341)+P43(x342)+~E(x341,x342)
% 0.86/0.92 [35]~P10(x351)+P10(x352)+~E(x351,x352)
% 0.86/0.92 [36]~P12(x361)+P12(x362)+~E(x361,x362)
% 0.86/0.92 [37]~P37(x371)+P37(x372)+~E(x371,x372)
% 0.86/0.92 [38]~P44(x381)+P44(x382)+~E(x381,x382)
% 0.86/0.92 [39]~P38(x391)+P38(x392)+~E(x391,x392)
% 0.86/0.92 [40]~P39(x401)+P39(x402)+~E(x401,x402)
% 0.86/0.92 [41]~P48(x411)+P48(x412)+~E(x411,x412)
% 0.86/0.92 [42]~P49(x421)+P49(x422)+~E(x421,x422)
% 0.86/0.92 [43]~P13(x431)+P13(x432)+~E(x431,x432)
% 0.86/0.92 [44]~P30(x441)+P30(x442)+~E(x441,x442)
% 0.86/0.92 [45]~P50(x451)+P50(x452)+~E(x451,x452)
% 0.86/0.92 [46]~P17(x461)+P17(x462)+~E(x461,x462)
% 0.86/0.92 [47]~P18(x471)+P18(x472)+~E(x471,x472)
% 0.86/0.92 [48]~P14(x481)+P14(x482)+~E(x481,x482)
% 0.86/0.92 [49]~P53(x491)+P53(x492)+~E(x491,x492)
% 0.86/0.92 [50]~P45(x501)+P45(x502)+~E(x501,x502)
% 0.86/0.92 [51]~P19(x511)+P19(x512)+~E(x511,x512)
% 0.86/0.92 [52]~P26(x521)+P26(x522)+~E(x521,x522)
% 0.86/0.92 [53]~P31(x531)+P31(x532)+~E(x531,x532)
% 0.86/0.92 [54]~P42(x541)+P42(x542)+~E(x541,x542)
% 0.86/0.92 [55]P5(x552,x553)+~E(x551,x552)+~P5(x551,x553)
% 0.86/0.92 [56]P5(x563,x562)+~E(x561,x562)+~P5(x563,x561)
% 0.86/0.92 [57]P6(x572,x573,x574)+~E(x571,x572)+~P6(x571,x573,x574)
% 0.86/0.92 [58]P6(x583,x582,x584)+~E(x581,x582)+~P6(x583,x581,x584)
% 0.86/0.92 [59]P6(x593,x594,x592)+~E(x591,x592)+~P6(x593,x594,x591)
% 0.86/0.92 [60]P8(x602,x603,x604)+~E(x601,x602)+~P8(x601,x603,x604)
% 0.86/0.92 [61]P8(x613,x612,x614)+~E(x611,x612)+~P8(x613,x611,x614)
% 0.86/0.92 [62]P8(x623,x624,x622)+~E(x621,x622)+~P8(x623,x624,x621)
% 0.86/0.92 [63]P7(x632,x633,x634)+~E(x631,x632)+~P7(x631,x633,x634)
% 0.86/0.92 [64]P7(x643,x642,x644)+~E(x641,x642)+~P7(x643,x641,x644)
% 0.86/0.92 [65]P7(x653,x654,x652)+~E(x651,x652)+~P7(x653,x654,x651)
% 0.86/0.92 [66]~P20(x661)+P20(x662)+~E(x661,x662)
% 0.86/0.92 [67]~P24(x671)+P24(x672)+~E(x671,x672)
% 0.86/0.92 [68]~P11(x681)+P11(x682)+~E(x681,x682)
% 0.86/0.92 [69]~P40(x691)+P40(x692)+~E(x691,x692)
% 0.86/0.92 [70]~P46(x701)+P46(x702)+~E(x701,x702)
% 0.86/0.92 [71]~P51(x711)+P51(x712)+~E(x711,x712)
% 0.86/0.92 [72]~P32(x721)+P32(x722)+~E(x721,x722)
% 0.86/0.92 [73]~P47(x731)+P47(x732)+~E(x731,x732)
% 0.86/0.92 [74]~P23(x741)+P23(x742)+~E(x741,x742)
% 0.86/0.92 [75]~P9(x751)+P9(x752)+~E(x751,x752)
% 0.86/0.92 [76]~P21(x761)+P21(x762)+~E(x761,x762)
% 0.86/0.92 [77]~P52(x771)+P52(x772)+~E(x771,x772)
% 0.86/0.92 [78]~P15(x781)+P15(x782)+~E(x781,x782)
% 0.86/0.92 [79]~P22(x791)+P22(x792)+~E(x791,x792)
% 0.86/0.92 [80]~P34(x801)+P34(x802)+~E(x801,x802)
% 0.86/0.92 [81]~P35(x811)+P35(x812)+~E(x811,x812)
% 0.86/0.92 [82]~P16(x821)+P16(x822)+~E(x821,x822)
% 0.86/0.92 [83]~P33(x831)+P33(x832)+~E(x831,x832)
% 0.86/0.92 [84]~P54(x841)+P54(x842)+~E(x841,x842)
% 0.86/0.92 [85]~P41(x851)+P41(x852)+~E(x851,x852)
% 0.86/0.92 [86]~P56(x861)+P56(x862)+~E(x861,x862)
% 0.86/0.92 [87]~P55(x871)+P55(x872)+~E(x871,x872)
% 0.86/0.92
% 0.86/0.92 %-------------------------------------------
% 0.86/0.93 cnf(887,plain,
% 0.86/0.93 ($false),
% 0.86/0.93 inference(scs_inference,[],[120,215,494]),
% 0.86/0.93 ['proof']).
% 0.86/0.93 % SZS output end Proof
% 0.86/0.93 % Total time :0.030000s
%------------------------------------------------------------------------------