TSTP Solution File: SWV675-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV675-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 21:34:51 EDT 2023
% Result : Unsatisfiable 1.36s 1.49s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV675-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 07:15:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.17/1.37 %-------------------------------------------
% 1.17/1.37 % File :CSE---1.6
% 1.17/1.37 % Problem :theBenchmark
% 1.17/1.37 % Transform :cnf
% 1.17/1.37 % Format :tptp:raw
% 1.17/1.37 % Command :java -jar mcs_scs.jar %d %s
% 1.17/1.37
% 1.17/1.37 % Result :Theorem 0.120000s
% 1.17/1.37 % Output :CNFRefutation 0.120000s
% 1.17/1.37 %-------------------------------------------
% 1.17/1.37 %------------------------------------------------------------------------------
% 1.17/1.37 % File : SWV675-1 : TPTP v8.1.2. Released v4.1.0.
% 1.17/1.37 % Domain : Software Verification
% 1.17/1.37 % Problem : Fast Fourier Transform 402_4
% 1.17/1.37 % Version : Especial.
% 1.17/1.38 % English : Formalization of a functional implementation of the FFT algorithm
% 1.17/1.38 % over the complex numbers, and its inverse. Both are shown
% 1.17/1.38 % equivalent to the usual definitions of these operations through
% 1.17/1.38 % Vandermonde matrices. They are also shown to be inverse to each
% 1.17/1.38 % other, more precisely, that composition of the inverse and the
% 1.17/1.38 % transformation yield the identity up to a scalar.
% 1.17/1.38
% 1.17/1.38 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 1.17/1.38 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.17/1.38 % Source : [Nip10]
% 1.17/1.38 % Names : FFT-402_4 [Nip10]
% 1.17/1.38
% 1.17/1.38 % Status : Unsatisfiable
% 1.17/1.38 % 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 v6.0.0, 0.10 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.06 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0
% 1.17/1.38 % Syntax : Number of clauses : 1389 ( 226 unt; 279 nHn; 895 RR)
% 1.17/1.38 % Number of literals : 4222 ( 723 equ;2558 neg)
% 1.17/1.38 % Maximal clause size : 7 ( 3 avg)
% 1.17/1.38 % Maximal term depth : 6 ( 1 avg)
% 1.17/1.38 % Number of predicates : 71 ( 70 usr; 0 prp; 1-3 aty)
% 1.17/1.38 % Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% 1.17/1.38 % Number of variables : 3729 ( 250 sgn)
% 1.17/1.38 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.17/1.38
% 1.17/1.38 % Comments :
% 1.17/1.38 %------------------------------------------------------------------------------
% 1.17/1.38 cnf(cls_mult__less__cancel2_1,axiom,
% 1.17/1.38 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.38 | ~ 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_abs__mult_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.38 | 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.38 | 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.38 | 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_nat__mult__dvd__cancel__disj_1,axiom,
% 1.17/1.38 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) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__trans_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__refl_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Oeq__iff_0,axiom,
% 1.17/1.38 c_Ring__and__Field_Odvd__class_Odvd(V_x,V_x,tc_nat) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__pos__nat_0,axiom,
% 1.17/1.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Oless__trans_0,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Oorder__trans_0,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_gcd__semilattice__nat_Ole__inf__iff_1,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_y,V_z,tc_nat),tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_gcd__semilattice__nat_Ole__inf__iff_0,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_y,V_z,tc_nat),tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_gcd__semilattice__nat_Ole__infI2_0,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_x,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_x,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_gcd__semilattice__nat_Ole__infI1_0,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_x,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_x,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_gcd__semilattice__nat_Ole__infE_1,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_b,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_gcd__semilattice__nat_Ole__infE_0,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_a,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__gcd__D1__nat_0,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__gcd__D2__nat_0,axiom,
% 1.17/1.38 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.38 | V_x = V_y ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 1.17/1.38 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.38 | V_x = V_y
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_linorder__antisym__conv3_0,axiom,
% 1.17/1.38 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.38 | V_x = V_y
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_linorder__less__linear_0,axiom,
% 1.17/1.38 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.17/1.38 | V_x = V_y
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Oeq__iff_2,axiom,
% 1.17/1.38 ( V_x = V_y
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Oantisym_0,axiom,
% 1.17/1.38 ( V_x = V_y
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Oless__le_0,axiom,
% 1.17/1.38 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 1.17/1.38 | V_x = V_y
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__antisym_0,axiom,
% 1.17/1.38 ( V_m = V_n
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_nat__neq__iff_0,axiom,
% 1.17/1.38 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.38 | V_m = V_n ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Oantisym__conv_0,axiom,
% 1.17/1.38 ( V_x = V_y
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Ole__neq__trans_0,axiom,
% 1.17/1.38 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 1.17/1.38 | V_a = V_b
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd_Oneq__le__trans_0,axiom,
% 1.17/1.38 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_a,tc_nat)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)
% 1.17/1.38 | V_a = V_b ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_linorder__neqE__nat_0,axiom,
% 1.17/1.38 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.17/1.38 | V_x = V_y ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_linorder__neqE_0,axiom,
% 1.17/1.38 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.38 | V_x = V_y ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_power__gt1__lemma_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_estimate__by__abs_0,axiom,
% 1.17/1.38 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 1.17/1.38 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 1.17/1.38 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_mod__if_0,axiom,
% 1.17/1.38 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.38 | 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.38 | 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.38 | 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.38 | ~ 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_mult__Suc__right_0,axiom,
% 1.17/1.38 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) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_mult__Suc_0,axiom,
% 1.17/1.38 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) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_zero__less__mult__pos2_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.38 | ~ 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_zero__less__mult__pos_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.38 | ~ 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_mult__pos__pos_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.38 | 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)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_mult__neg__neg_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.38 | 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)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 1.17/1.38 ( 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)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 1.17/1.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.17/1.38 | 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)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 1.17/1.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.38 | ~ 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_even__less__0__iff_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.38 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.38 | ~ 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) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_even__less__0__iff_1,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.38 | 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)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_class__semiring_Omul__pwr_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.38 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_p,T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_nat),T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_of__nat__eq__iff_0,axiom,
% 1.17/1.38 ( ~ class_Nat_Osemiring__char__0(T_a)
% 1.17/1.38 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 1.17/1.38 | V_m = V_n ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_gcd__red__nat_0,axiom,
% 1.17/1.38 c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_y,c_Divides_Odiv__class_Omod(V_x,V_y,tc_nat),tc_nat) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__power_1,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_right__diff__distrib__number__of_0,axiom,
% 1.17/1.38 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.17/1.38 | ~ class_Int_Onumber(T_a)
% 1.17/1.38 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Ominus__class_Ominus(V_b,V_c,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 1.17/1.38 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__mod__iff_1,axiom,
% 1.17/1.38 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__mod__iff_0,axiom,
% 1.17/1.38 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_dvd__mod_0,axiom,
% 1.17/1.38 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.38 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 1.17/1.38 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 1.17/1.38 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 1.17/1.38
% 1.17/1.38 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 1.17/1.38 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_add__lessD1_0,axiom,
% 1.17/1.39 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_trans__less__add1_0,axiom,
% 1.17/1.39 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult__less__cancel1_1,axiom,
% 1.17/1.39 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.39 | ~ 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_less__add__one_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.39 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult__left__idem_0,axiom,
% 1.17/1.39 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_Fact_Ofact__Suc_0,axiom,
% 1.17/1.39 c_Fact_Ofact__class_Ofact(c_Suc(V_x),tc_nat) = c_HOL_Otimes__class_Otimes(c_Suc(V_x),c_Fact_Ofact__class_Ofact(V_x,tc_nat),tc_nat) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_one__dvd_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mod__add__self1_0,axiom,
% 1.17/1.39 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mod__add__self2_0,axiom,
% 1.17/1.39 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult__neg__pos_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.39 | 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)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult__pos__neg_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.39 | 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)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult__pos__neg2_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.39 | 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)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_dvd__mult_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.17/1.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_dvd__mult2_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.17/1.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_dvd__mult__left_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 1.17/1.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_dvd__mult__right_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 1.17/1.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_pos__add__strict_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.39 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_power__less__power__Suc_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mod__lemma_0,axiom,
% 1.17/1.39 ( 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)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_r,V_b,tc_nat)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_c,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mod__if_1,axiom,
% 1.17/1.39 ( 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)
% 1.17/1.39 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 1.17/1.39 ( 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)
% 1.17/1.39 | V_c = V_d
% 1.17/1.39 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.39 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.39 | 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)
% 1.17/1.39 | V_c = V_d
% 1.17/1.39 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.39 | 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)
% 1.17/1.39 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.39 | 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)
% 1.17/1.39 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_fact__gt__zero__nat_0,axiom,
% 1.17/1.39 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Fact_Ofact__class_Ofact(V_n,tc_nat),tc_nat) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_inverse__unique_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.17/1.39 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 1.17/1.39 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult__idem_0,axiom,
% 1.17/1.39 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.17/1.39 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_less__divide__eq__number__of_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.39 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.39 | ~ class_Int_Onumber(T_a)
% 1.17/1.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_less__divide__eq__number__of_6,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.39 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.39 | ~ class_Int_Onumber(T_a)
% 1.17/1.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_zero__less__power__nat__eq_0,axiom,
% 1.17/1.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_x,tc_nat)
% 1.17/1.39 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_nat__zero__less__power__iff_0,axiom,
% 1.17/1.39 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_x,tc_nat)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_of__nat__add_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_zero__less__power__nat__eq__number__of_1,axiom,
% 1.17/1.39 ( c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat),tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_zmod__simps_I2_J_0,axiom,
% 1.17/1.39 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_zmod__simps_I1_J_0,axiom,
% 1.17/1.39 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_inf__period_I4_J_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Odvd(T_a)
% 1.17/1.39 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 1.17/1.39 | 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)
% 1.17/1.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 1.17/1.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_inf__period_I4_J_1,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Odvd(T_a)
% 1.17/1.39 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 1.17/1.39 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 1.17/1.39 | ~ 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)
% 1.17/1.39 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_of__nat__fact__gt__zero_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_power__less__zero__eq__number__of_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 1.17/1.39 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_nat__mult__assoc_0,axiom,
% 1.17/1.39 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) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__semiring_Omul__a_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult__right_Oadd_0,axiom,
% 1.17/1.39 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult_Oadd__right_0,axiom,
% 1.17/1.39 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult__left_Oadd_0,axiom,
% 1.17/1.39 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_mult_Oadd__left_0,axiom,
% 1.17/1.39 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_add__mult__distrib2_0,axiom,
% 1.17/1.39 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) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_add__mult__distrib_0,axiom,
% 1.17/1.39 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) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__semiring_Omul__d_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_add__gr__0_2,axiom,
% 1.17/1.39 ( 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)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_add__gr__0_1,axiom,
% 1.17/1.39 ( 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)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 1.17/1.39 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.17/1.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.39 | ~ 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 1.17/1.39 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.17/1.39 | 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)
% 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_zero__less__power__nat__eq_1,axiom,
% 1.17/1.39 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.39 | ~ 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_abs__one_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.39 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.39 | 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) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_zero__less__two_0,axiom,
% 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_even__sum__nat_3,axiom,
% 1.17/1.39 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat)
% 1.17/1.39 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.17/1.39 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_even__sum__nat_2,axiom,
% 1.17/1.39 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_even__sum__nat_1,axiom,
% 1.17/1.39 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 1.17/1.39 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_even__sum__nat_0,axiom,
% 1.17/1.39 ( ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.17/1.39 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_even__add_3,axiom,
% 1.17/1.39 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_even__add_2,axiom,
% 1.17/1.39 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 1.17/1.39 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.39 | c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_even__add_1,axiom,
% 1.17/1.39 ( c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.39 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.39
% 1.17/1.39 cnf(cls_even__add_0,axiom,
% 1.17/1.39 ( c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.40 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 1.17/1.40 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_odd__add_3,axiom,
% 1.17/1.40 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 1.17/1.40 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.40 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_odd__add_2,axiom,
% 1.17/1.40 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 1.17/1.40 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.40 | c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_odd__add_1,axiom,
% 1.17/1.40 ( c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 1.17/1.40 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.40 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_odd__add_0,axiom,
% 1.17/1.40 ( ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.40 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 1.17/1.40 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_power__Suc__less_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.40 | ~ 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.40 | ~ 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.40 | ~ 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.40 | ~ 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_one__less__inverse__iff_1,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_dvd__add_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.40 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 1.17/1.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 1.17/1.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_gcd__mult__distrib__nat_0,axiom,
% 1.17/1.40 c_HOL_Otimes__class_Otimes(V_k,c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),tc_nat) = c_GCD_Ogcd__class_Ogcd(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_gt__half__sum_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_less__half__sum_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.40 | 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_even__power__nat_2,axiom,
% 1.17/1.40 ( c_Parity_Oeven__odd__class_Oeven(c_Power_Opower__class_Opower(V_x,V_y,tc_nat),tc_nat)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_y,tc_nat)
% 1.17/1.40 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_abs__of__nat_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.40 | 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_nat__add__right__cancel_0,axiom,
% 1.17/1.40 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 1.17/1.40 | V_m = V_n ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_nat__add__left__cancel_0,axiom,
% 1.17/1.40 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 1.17/1.40 | V_m = V_n ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 1.17/1.40 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 1.17/1.40 | V_y = V_z ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.40 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.40 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 1.17/1.40 | V_y = V_z ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_add__imp__eq_0,axiom,
% 1.17/1.40 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 1.17/1.40 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 1.17/1.40 | V_b = V_c ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_add__left__cancel_0,axiom,
% 1.17/1.40 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.17/1.40 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 1.17/1.40 | V_b = V_c ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_add__right__cancel_0,axiom,
% 1.17/1.40 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.17/1.40 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 1.17/1.40 | V_b = V_c ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_not__square__less__zero_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.40 | ~ 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_dvd__imp__mod__0_0,axiom,
% 1.17/1.40 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.40 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.40 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 1.17/1.40 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.40 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.40 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_divide__less__eq__number__of_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.40 | ~ class_Int_Onumber(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_divide__less__eq__number__of_6,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.40 | ~ class_Int_Onumber(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_of__nat__Suc_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.17/1.40 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_trans__less__add2_0,axiom,
% 1.17/1.40 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_less__add__Suc1_0,axiom,
% 1.17/1.40 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_less__add__Suc2_0,axiom,
% 1.17/1.40 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_less__iff__Suc__add_1,axiom,
% 1.17/1.40 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_nat__less__add__iff2_1,axiom,
% 1.17/1.40 ( 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)
% 1.17/1.40 | ~ 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)
% 1.17/1.40 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_nat__less__add__iff2_0,axiom,
% 1.17/1.40 ( 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)
% 1.17/1.40 | ~ 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)
% 1.17/1.40 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_nat__less__add__iff1_1,axiom,
% 1.17/1.40 ( 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)
% 1.17/1.40 | ~ 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)
% 1.17/1.40 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_nat__less__add__iff1_0,axiom,
% 1.17/1.40 ( 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)
% 1.17/1.40 | ~ 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)
% 1.17/1.40 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_eq__add__iff2_1,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.17/1.40 | 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_abs__le__mult_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 1.17/1.40 | 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_fact__add__num__eq__if2__nat_0,axiom,
% 1.17/1.40 c_Fact_Ofact__class_Ofact(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat) = c_Fact_Ofact__class_Ofact(V_n,tc_nat) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_zmod__simps_I4_J_0,axiom,
% 1.17/1.40 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.40 | 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_divide__less__eq__number__of_4,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.40 | ~ class_Int_Onumber(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_divide__less__eq__number__of_1,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.40 | ~ class_Int_Onumber(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_less__divide__eq__number__of1_9,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.40 | ~ class_Int_Onumber(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_divide__less__eq__number__of1_9,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.40 | ~ class_Int_Onumber(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_divide__less__eq__number__of_8,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.40 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.40 | ~ class_Int_Onumber(T_a)
% 1.17/1.40 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_mult__1__right_0,axiom,
% 1.17/1.40 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.17/1.40 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_mult__1__left_0,axiom,
% 1.17/1.40 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.17/1.40 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_mult__1_0,axiom,
% 1.17/1.40 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 1.17/1.40 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_class__semiring_Omul__1_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.40 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.40 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.40 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_dvd__triv__right_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.40 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_dvd__triv__left_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.40 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_dvdI_0,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Odvd(T_a)
% 1.17/1.40 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.40 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.40 | 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 1.17/1.40 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.40 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.40 | 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) ) ).
% 1.17/1.40
% 1.17/1.40 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 1.17/1.40 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) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 1.17/1.41 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) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_abs__mult__less_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_less__divide__eq__number__of1_7,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_divide__less__eq__number__of1_7,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_less__divide__eq__number__of1_8,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_divide__less__eq__number__of1_8,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_inv__of__nat__fact__gt__zero_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_class__semiring_Omul__c_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.41 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_nat__mult__commute_0,axiom,
% 1.17/1.41 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.41 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mod__add__eq_0,axiom,
% 1.17/1.41 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_xt1_I10_J_0,axiom,
% 1.17/1.41 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_order__less__trans_0,axiom,
% 1.17/1.41 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_power__less__zero__eq__number__of_2,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 1.17/1.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 1.17/1.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_add__cancel__21_1,axiom,
% 1.17/1.41 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_nat__add__assoc_0,axiom,
% 1.17/1.41 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) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_nat__add__left__commute_0,axiom,
% 1.17/1.41 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) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 1.17/1.41 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_add__gr__0_0,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.17/1.41 | ~ 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_power__add_0,axiom,
% 1.17/1.41 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.17/1.41 | c_Power_Opower__class_Opower(V_a,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_abs__triangle__ineq_0,axiom,
% 1.17/1.41 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_even__power__nat_1,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_y,tc_nat)
% 1.17/1.41 | ~ c_Parity_Oeven__odd__class_Oeven(c_Power_Opower__class_Opower(V_x,V_y,tc_nat),tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_fact__diff__Suc_0,axiom,
% 1.17/1.41 ( c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat),tc_nat)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mod__add__right__eq_0,axiom,
% 1.17/1.41 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mod__add__left__eq_0,axiom,
% 1.17/1.41 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_right__distrib__number__of_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 1.17/1.41 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.17/1.41 | V_m = V_n ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult__less__cancel1_0,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.17/1.41 | ~ 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult__less__cancel2_0,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.17/1.41 | ~ 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_eq__number__of_0,axiom,
% 1.17/1.41 ( ~ class_Int_Oring__char__0(T_a)
% 1.17/1.41 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.41 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 1.17/1.41 | V_x = V_y ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_gcd__exp__nat_0,axiom,
% 1.17/1.41 c_GCD_Ogcd__class_Ogcd(c_Power_Opower__class_Opower(V_a,V_n,tc_nat),c_Power_Opower__class_Opower(V_b,V_n,tc_nat),tc_nat) = c_Power_Opower__class_Opower(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_n,tc_nat) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 1.17/1.41 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_one__less__power_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_gcd__add1__nat_0,axiom,
% 1.17/1.41 c_GCD_Ogcd__class_Ogcd(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_gcd__add2__nat_0,axiom,
% 1.17/1.41 c_GCD_Ogcd__class_Ogcd(V_m,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) = c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_combine__common__factor_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_left__add__mult__distrib_0,axiom,
% 1.17/1.41 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) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.17/1.41 | ~ 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.17/1.41 | ~ 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_add__neg__neg_0,axiom,
% 1.17/1.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.41 | ~ 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 1.17/1.41 ( 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_power__even__abs_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.41 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_x,T_a),V_n,T_a) = c_Power_Opower__class_Opower(V_x,V_n,T_a)
% 1.17/1.41 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_odd__pos_0,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.17/1.41 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_less__divide__eq__number__of1_6,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_less__divide__eq__number__of1_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_divide__less__eq__number__of1_6,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_divide__less__eq__number__of1_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_abs__diff__less__iff_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 1.17/1.41 | ~ 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_abs__of__pos_0,axiom,
% 1.17/1.41 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.41 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mod__mult__right__eq_0,axiom,
% 1.17/1.41 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mod__mult__left__eq_0,axiom,
% 1.17/1.41 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.41 | 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_of__nat__less__0__iff_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.41 | ~ 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) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_even__difference__nat_2,axiom,
% 1.17/1.41 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mod__mult__distrib_0,axiom,
% 1.17/1.41 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) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mod__mult__distrib2_0,axiom,
% 1.17/1.41 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) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult__strict__right__mono_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.41 | 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)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_dvd_Oless__trans_1,axiom,
% 1.17/1.41 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 1.17/1.41 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 1.17/1.41 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 1.17/1.41 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 1.17/1.41 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_mod__less__divisor_0,axiom,
% 1.17/1.41 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_pow__divides__pow__nat_0,axiom,
% 1.17/1.41 ( c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)
% 1.17/1.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.41 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,tc_nat),c_Power_Opower__class_Opower(V_b,V_n,tc_nat),tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_pow__divides__eq__nat_1,axiom,
% 1.17/1.41 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,tc_nat),c_Power_Opower__class_Opower(V_b,V_n,tc_nat),tc_nat)
% 1.17/1.41 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)
% 1.17/1.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_pow__divides__eq__nat_0,axiom,
% 1.17/1.41 ( c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,tc_nat)
% 1.17/1.41 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,tc_nat),c_Power_Opower__class_Opower(V_b,V_n,tc_nat),tc_nat)
% 1.17/1.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_divide__less__eq__number__of1_1,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_divide__less__eq__number__of1_4,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_less__divide__eq__number__of1_1,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.41
% 1.17/1.41 cnf(cls_less__divide__eq__number__of1_4,axiom,
% 1.17/1.41 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.41 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.41 | ~ class_Int_Onumber(T_a)
% 1.17/1.41 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.41 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_add__cancel__21_0,axiom,
% 1.17/1.42 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_mod__mod__trivial_0,axiom,
% 1.17/1.42 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_of__nat__power_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.17/1.42 | c_Nat_Osemiring__1__class_Oof__nat(c_Power_Opower__class_Opower(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),V_n,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_left__diff__distrib__number__of_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_gcd__dvd__prod__nat_0,axiom,
% 1.17/1.42 c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_eq__add__iff1_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_gcd__idem__nat_0,axiom,
% 1.17/1.42 c_GCD_Ogcd__class_Ogcd(V_x,V_x,tc_nat) = V_x ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_nat__mult__dvd__cancel__disj_2,axiom,
% 1.17/1.42 ( 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)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_abs__idempotent_0,axiom,
% 1.17/1.42 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_eq__add__iff1_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | 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 ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_eq__add__iff2_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oring(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_zero__less__abs__iff_1,axiom,
% 1.17/1.42 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 1.17/1.42 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_power__strict__decreasing_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_even__product__nat_2,axiom,
% 1.17/1.42 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 1.17/1.42 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_even__product__nat_1,axiom,
% 1.17/1.42 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 1.17/1.42 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_divide__less__eq__number__of_5,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_divide__less__eq__number__of_7,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_divide__less__eq__number__of1_5,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__divide__eq__number__of1_5,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_divide__less__eq__number__of_9,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.42 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__add__eq__less_0,axiom,
% 1.17/1.42 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 1.17/1.42 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_nat__add__commute_0,axiom,
% 1.17/1.42 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.42 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 1.17/1.42 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.17/1.42 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_even__power__nat_0,axiom,
% 1.17/1.42 ( c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 1.17/1.42 | ~ c_Parity_Oeven__odd__class_Oeven(c_Power_Opower__class_Opower(V_x,V_y,tc_nat),tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_mod__mult__eq_0,axiom,
% 1.17/1.42 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.42 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__divide__eq__number__of_5,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__divide__eq__number__of_7,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__divide__eq__number__of_9,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__add__iff1_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__add__iff1_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__add__iff2_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__add__iff2_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_mod__add__cong_0,axiom,
% 1.17/1.42 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.42 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 1.17/1.42 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_zero__less__power__nat__eq_2,axiom,
% 1.17/1.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,V_n,tc_nat),tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_x,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_not__one__less__zero_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_abs__less__iff_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_of__nat__mult_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_mod__mult__self4_0,axiom,
% 1.17/1.42 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) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 1.17/1.42 ( 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)
% 1.17/1.42 | V_c = V_d
% 1.17/1.42 | V_a = V_b ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 1.17/1.42 ( 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)
% 1.17/1.42 | V_y = V_z
% 1.17/1.42 | V_w = V_x ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.42 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | V_c = V_d
% 1.17/1.42 | V_a = V_b ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.42 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | V_y = V_z
% 1.17/1.42 | V_w = V_x ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_gcd__pos__nat_2,axiom,
% 1.17/1.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),tc_nat)
% 1.17/1.42 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_gcd__pos__nat_1,axiom,
% 1.17/1.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),tc_nat)
% 1.17/1.42 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_abs__mult__self_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__divide__eq__number__of_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__divide__eq__number__of_4,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_gcd__left__commute__nat_0,axiom,
% 1.17/1.42 c_GCD_Ogcd__class_Ogcd(V_x,c_GCD_Ogcd__class_Ogcd(V_y,V_z,tc_nat),tc_nat) = c_GCD_Ogcd__class_Ogcd(V_y,c_GCD_Ogcd__class_Ogcd(V_x,V_z,tc_nat),tc_nat) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_gcd__assoc__nat_0,axiom,
% 1.17/1.42 c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(V_k,V_m,tc_nat),V_n,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_k,c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),tc_nat) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_gcd__semilattice__nat_Oinf__assoc_0,axiom,
% 1.17/1.42 c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat),V_z,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_x,c_GCD_Ogcd__class_Ogcd(V_y,V_z,tc_nat),tc_nat) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_mod__mult__cong_0,axiom,
% 1.17/1.42 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.42 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 1.17/1.42 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 1.17/1.42 | 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_zero__less__power__nat__eq__number__of_0,axiom,
% 1.17/1.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_x,tc_nat)
% 1.17/1.42 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat),tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__divide__eq__number__of_8,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.42 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_zero__less__power__nat__eq__number__of_2,axiom,
% 1.17/1.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat),tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_x,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.42 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.42 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_left__distrib__number__of_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 1.17/1.42 | ~ class_Int_Onumber(T_a)
% 1.17/1.42 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_mod__by__1_0,axiom,
% 1.17/1.42 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.42 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_dvd__reduce_1,axiom,
% 1.17/1.42 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_dvd__reduce_0,axiom,
% 1.17/1.42 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_abs__dvd__iff_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.42 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_abs__dvd__iff_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.42 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_dvd__abs__iff_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.42 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_dvd__abs__iff_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.42 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_order__less__le_1,axiom,
% 1.17/1.42 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_less__not__refl_0,axiom,
% 1.17/1.42 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_nat__less__le_1,axiom,
% 1.17/1.42 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_linorder__neq__iff_1,axiom,
% 1.17/1.42 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_order__less__irrefl_0,axiom,
% 1.17/1.42 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_abs__number__of_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.42 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.42 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_x,T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_add__pos__pos_0,axiom,
% 1.17/1.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_nat__dvd__not__less_0,axiom,
% 1.17/1.42 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_n,V_m,tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_add__less__mono_0,axiom,
% 1.17/1.42 ( 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)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_add__strict__mono_0,axiom,
% 1.17/1.42 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_abs__not__less__zero_0,axiom,
% 1.17/1.42 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_of__nat__less__iff_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.42 | ~ 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_of__nat__less__iff_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.42 | 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)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_zero__less__one_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_dvd__mult__cancel_0,axiom,
% 1.17/1.42 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.17/1.42 | ~ 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_nat__mult__dvd__cancel1_0,axiom,
% 1.17/1.42 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 1.17/1.42 | ~ 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)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_nat__mult__dvd__cancel1_1,axiom,
% 1.17/1.42 ( 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)
% 1.17/1.42 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 1.17/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_nat__mod__eq__iff_1,axiom,
% 1.17/1.42 ( 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)
% 1.17/1.42 | c_Divides_Odiv__class_Omod(V_x,V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_y,V_n,tc_nat) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_of__nat__0__less__iff_0,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.17/1.42 | ~ 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) ) ).
% 1.17/1.42
% 1.17/1.42 cnf(cls_of__nat__0__less__iff_1,axiom,
% 1.17/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.42 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_power__inject__exp_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.43 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.17/1.43 | V_m = V_n ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_le__number__of__eq__not__less_0,axiom,
% 1.17/1.43 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.43 | ~ class_Int_Onumber(T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 1.17/1.43 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__strict__left__mono_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.43 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.43 | ~ 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.43 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.43 | ~ 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 1.17/1.43 ( 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 1.17/1.43 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.43 | ~ 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__mono1_0,axiom,
% 1.17/1.43 ( 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__mono2_0,axiom,
% 1.17/1.43 ( 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__cancel1_2,axiom,
% 1.17/1.43 ( 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__cancel2_2,axiom,
% 1.17/1.43 ( 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_nat__power__less__imp__less_0,axiom,
% 1.17/1.43 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_i,V_m,tc_nat),c_Power_Opower__class_Opower(V_i,V_n,tc_nat),tc_nat)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_i,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_of__nat__fact__not__zero_0,axiom,
% 1.17/1.43 ( ~ class_Nat_Osemiring__char__0(T_a)
% 1.17/1.43 | c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mod__mult__self2_0,axiom,
% 1.17/1.43 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.43 | 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) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mod__mult__self1_0,axiom,
% 1.17/1.43 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.43 | 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) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mod__mult__self3_0,axiom,
% 1.17/1.43 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) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.43 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 1.17/1.43 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | ~ 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) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.43 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 1.17/1.43 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | ~ 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) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_nat__mult__dvd__cancel__disj_0,axiom,
% 1.17/1.43 ( c_Ring__and__Field_Odvd__class_Odvd(V_m,V_n,tc_nat)
% 1.17/1.43 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.43 | ~ 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) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__semilattice__nat_Oinf__greatest_0,axiom,
% 1.17/1.43 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_y,V_z,tc_nat),tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__semilattice__nat_Oless__infI2_1,axiom,
% 1.17/1.43 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),tc_nat)
% 1.17/1.43 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_b,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_x,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__semilattice__nat_Oless__infI1_1,axiom,
% 1.17/1.43 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),tc_nat)
% 1.17/1.43 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_a,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_x,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__semilattice__nat_Ole__inf__iff_2,axiom,
% 1.17/1.43 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_y,V_z,tc_nat),tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__semilattice__nat_Ole__infI_0,axiom,
% 1.17/1.43 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_b,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_a,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__semilattice__nat_Oinf__le2_0,axiom,
% 1.17/1.43 c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat),V_y,tc_nat) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__semilattice__nat_Oinf__le1_0,axiom,
% 1.17/1.43 c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat),V_x,tc_nat) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__dvd1__nat_0,axiom,
% 1.17/1.43 c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__dvd2__nat_0,axiom,
% 1.17/1.43 c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),V_n,tc_nat) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__unique__nat_3,axiom,
% 1.17/1.43 c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_a,tc_nat) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__unique__nat_4,axiom,
% 1.17/1.43 c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_b,tc_nat) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__unique__nat_5,axiom,
% 1.17/1.43 ( c_Ring__and__Field_Odvd__class_Odvd(V_e,c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_e,V_b,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_e,V_a,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__greatest__nat_0,axiom,
% 1.17/1.43 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_gcd__greatest__iff__nat_2,axiom,
% 1.17/1.43 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat),tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_abs__diff__less__iff_2,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_less__1__mult_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.43 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_add__less__le__mono_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_lessequals(V_c,V_d,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_add__le__less__mono_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.17/1.43 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_dvd_Ole__less__trans_1,axiom,
% 1.17/1.43 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 1.17/1.43 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_dvd_Oless__le__trans_1,axiom,
% 1.17/1.43 ( ~ c_Ring__and__Field_Odvd__class_Odvd(V_z,V_x,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 1.17/1.43 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_abs__eq__0_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.43 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__eq__0__iff_2,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__eq__0__iff_1,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__zero__right_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__zero__left_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_class__semiring_Omul__0_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__right_Ozero_0,axiom,
% 1.17/1.43 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult_Ozero__right_0,axiom,
% 1.17/1.43 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult_Ozero__left_0,axiom,
% 1.17/1.43 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__left_Ozero_0,axiom,
% 1.17/1.43 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_dvd__0__right_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.43 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mod__self_0,axiom,
% 1.17/1.43 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.43 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mod__by__0_0,axiom,
% 1.17/1.43 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.43 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_zero__neq__one_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.17/1.43 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_dvd__0__left_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.43 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_one__neq__zero_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.17/1.43 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__eq__0__iff_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_no__zero__divisors_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.17/1.43 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_double__eq__0__iff_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.17/1.43 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.43 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.43 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.43 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 1.17/1.43 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mod__0_0,axiom,
% 1.17/1.43 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.43 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_double__eq__0__iff_1,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.17/1.43 | 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) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_abs__eq__0_1,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.43 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.17/1.43 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_add__0__left_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.17/1.43 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.17/1.43 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.17/1.43 | ~ class_Int_Onumber__ring(T_a)
% 1.17/1.43 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.43 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.17/1.43 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.43 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.43 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__less__le__imp__less_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.43 | ~ c_lessequals(V_c,V_d,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__le__less__imp__less_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.17/1.43 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_abs__mult__pos_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_add__strict__increasing_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.43 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.17/1.43 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.17/1.43 | ~ c_lessequals(V_b,V_c,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_add__pos__nonneg_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_add__nonneg__pos_0,axiom,
% 1.17/1.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__right__le__one__le_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.43 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 1.17/1.43 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__left__le__one__le_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.43 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 1.17/1.43 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_mult__strict__mono_H_0,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.17/1.43 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_abs__eq__mult_3,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.43 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_abs__eq__mult_2,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.43 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.43
% 1.17/1.43 cnf(cls_abs__eq__mult_1,axiom,
% 1.17/1.43 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 1.17/1.43 | 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)
% 1.17/1.43 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_abs__eq__mult_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.44 | 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__nonpos__neg_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__neg__nonpos_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__less__imp__less__right_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__less__imp__less__left_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__right__less__imp__less_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__left__less__imp__less_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_sum__squares__ge__zero_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.44 | 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__strict__mono_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__strict__increasing2_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.44 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__right__le__imp__le_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.44 | c_lessequals(V_a,V_b,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__left__le__imp__le_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.17/1.44 | c_lessequals(V_a,V_b,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_le__number__of__eq__not__less_1,axiom,
% 1.17/1.44 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.44 | ~ class_Int_Onumber(T_a)
% 1.17/1.44 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_dvd__eq__mod__eq__0__number__of_0,axiom,
% 1.17/1.44 ( ~ class_Int_Onumber(T_a)
% 1.17/1.44 | ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.44 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(V_y,T_a),c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_Int_Onumber__class_Onumber__of(V_y,T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_dvd__eq__mod__eq__0__number__of_1,axiom,
% 1.17/1.44 ( ~ class_Int_Onumber(T_a)
% 1.17/1.44 | ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.44 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(V_y,T_a),c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.44 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_Int_Onumber__class_Onumber__of(V_y,T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_zero__less__power__eq__number__of_5,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.17/1.44 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_fact__less__mono__nat_0,axiom,
% 1.17/1.44 ( c_HOL_Oord__class_Oless(c_Fact_Ofact__class_Ofact(V_m,tc_nat),c_Fact_Ofact__class_Ofact(V_n,tc_nat),tc_nat)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__pos__nat_0,axiom,
% 1.17/1.44 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mod__mod__cancel_0,axiom,
% 1.17/1.44 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_abs__if__lattice_1,axiom,
% 1.17/1.44 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.44 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 1.17/1.44 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_abs__if_1,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 1.17/1.44 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_power__less__imp__less__exp_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_power__strict__increasing_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_power__strict__increasing__iff_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_power__strict__increasing__iff_1,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_not__add__less2_0,axiom,
% 1.17/1.44 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_not__add__less1_0,axiom,
% 1.17/1.44 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__dvd__mono_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_abs__add__abs_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.44 | 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_less__diff__conv_1,axiom,
% 1.17/1.44 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_less__diff__conv_0,axiom,
% 1.17/1.44 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__proj2__if__dvd__nat_0,axiom,
% 1.17/1.44 ( c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) = V_y
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__proj1__if__dvd__nat_0,axiom,
% 1.17/1.44 ( c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) = V_x
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__semilattice__nat_Ole__iff__inf_1,axiom,
% 1.17/1.44 ( c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) != V_x
% 1.17/1.44 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_zero__less__abs__iff_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__less__mono1_0,axiom,
% 1.17/1.44 ( 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)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 1.17/1.44 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 1.17/1.44 ( 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)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__less__cancel__left_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__less__cancel__left_1,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__strict__left__mono_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__less__cancel__right_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__less__cancel__right_1,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__strict__right__mono_0,axiom,
% 1.17/1.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.17/1.44 | 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)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_inverse__less__1__iff_2,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_even__product__nat_0,axiom,
% 1.17/1.44 ( c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.17/1.44 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 1.17/1.44 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mod__eq__0__iff_1,axiom,
% 1.17/1.44 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) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 1.17/1.44 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.44 | 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 1.17/1.44 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.44 | 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__commute__nat_0,axiom,
% 1.17/1.44 c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_n,V_m,tc_nat) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__semilattice__nat_Oinf__commute_0,axiom,
% 1.17/1.44 c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_y,V_x,tc_nat) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_even__difference__nat_0,axiom,
% 1.17/1.44 ( ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.17/1.44 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.17/1.44 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_even__difference__nat_1,axiom,
% 1.17/1.44 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 1.17/1.44 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.17/1.44 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.44 | 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__nat_Osimps_1,axiom,
% 1.17/1.44 ( c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_y,c_Divides_Odiv__class_Omod(V_x,V_y,tc_nat),tc_nat)
% 1.17/1.44 | V_y = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_abs__diff__less__iff_1,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 1.17/1.44 | ~ 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_zero__less__power__eq__number__of_4,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 1.17/1.44 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.44 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_power__even__abs__number__of_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.44 | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_x,T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a)
% 1.17/1.44 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_add__diff__inverse_0,axiom,
% 1.17/1.44 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__semilattice__nat_Oinf__left__idem_0,axiom,
% 1.17/1.44 c_GCD_Ogcd__class_Ogcd(V_x,c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat),tc_nat) = c_GCD_Ogcd__class_Ogcd(V_x,V_y,tc_nat) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__add__mult__nat_0,axiom,
% 1.17/1.44 c_GCD_Ogcd__class_Ogcd(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),V_n,tc_nat),tc_nat) = c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mod__mult__mult1_0,axiom,
% 1.17/1.44 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.44 | 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mod__mult__mult2_0,axiom,
% 1.17/1.44 ( ~ class_Divides_Osemiring__div(T_a)
% 1.17/1.44 | 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) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__semilattice__nat_Oless__infI1_0,axiom,
% 1.17/1.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_x,tc_nat)
% 1.17/1.44 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_a,tc_nat)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_x,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_gcd__semilattice__nat_Oless__infI2_0,axiom,
% 1.17/1.44 ( c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_x,tc_nat)
% 1.17/1.44 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_b,tc_nat)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_x,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_dvd__if__abs__eq_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.44 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 1.17/1.44 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_order__less__asym_0,axiom,
% 1.17/1.44 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_dvd_Oless__le__trans_0,axiom,
% 1.17/1.44 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 1.17/1.44 | c_Ring__and__Field_Odvd__class_Odvd(V_y,V_x,tc_nat)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_dvd_Ole__less__trans_0,axiom,
% 1.17/1.44 ( c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,tc_nat)
% 1.17/1.44 | c_Ring__and__Field_Odvd__class_Odvd(V_z,V_y,tc_nat)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_y,V_z,tc_nat)
% 1.17/1.44 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,tc_nat) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_order__less__asym_H_0,axiom,
% 1.17/1.44 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 1.17/1.44 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_xt1_I9_J_0,axiom,
% 1.17/1.44 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_divide__left__mono_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 1.17/1.44 | ~ 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)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_divide__left__mono__neg_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 1.17/1.44 | ~ 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)
% 1.17/1.44 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_divide__le__eq_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_divide__le__eq_6,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_le__divide__eq_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_le__divide__eq_6,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 1.17/1.44 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_divide__le__eq_8,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.17/1.44 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_le__divide__eq_8,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.44 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_divide__le__eq__number__of_9,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | ~ class_Int_Onumber(T_a)
% 1.17/1.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.44 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.44
% 1.17/1.44 cnf(cls_divide__le__eq__number__of_3,axiom,
% 1.17/1.44 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.44 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.44 | ~ class_Int_Onumber(T_a)
% 1.17/1.44 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.44
% 1.17/1.45 cnf(cls_divide__le__eq__number__of_2,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq__number__of1_2,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq__number__of1_3,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of1_2,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of1_3,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq_5,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq_7,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq_5,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq_7,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of_9,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of_3,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of_2,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.45 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq_1,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq_4,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq_1,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq_4,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq__number__of1_9,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of1_9,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_zero__less__power__eq_0,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.17/1.45 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.45 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_power__0__left__number__of_0,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.17/1.45 | ~ class_Power_Opower(T_a)
% 1.17/1.45 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.45 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_zero__less__power__eq__number__of_3,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.45 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_zero__less__power__eq_1,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.45 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),T_a)
% 1.17/1.45 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_zero__less__power__eq__number__of_2,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.45 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_inverse__less__1__iff_0,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 1.17/1.45 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.45 | 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)
% 1.17/1.45 | ~ c_lessequals(V_a,V_b,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.45 | c_lessequals(V_a,V_b,T_a)
% 1.17/1.45 | ~ 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)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.45 | 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)
% 1.17/1.45 | ~ c_lessequals(V_b,V_a,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.45 | c_lessequals(V_b,V_a,T_a)
% 1.17/1.45 | ~ 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)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.45 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.45 | ~ 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) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.17/1.45 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.45 | ~ 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) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_of__nat__fact__ge__zero_0,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_xt1_I7_J_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.17/1.45 | ~ c_lessequals(V_z,V_y,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_xt1_I8_J_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.17/1.45 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__add__right__mono_0,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_c,V_d,T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_order__less__le__trans_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.17/1.45 | ~ c_lessequals(V_y,V_z,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_order__le__less__trans_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.17/1.45 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_order__less__imp__le_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.45 | c_lessequals(V_x,V_y,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_order__le__less_1,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | c_lessequals(V_x,V_y,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_less__le__not__le_2,axiom,
% 1.17/1.45 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.45 | c_lessequals(V_y,V_x,T_a)
% 1.17/1.45 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_abs__ge__self_0,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_add__mono_0,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.17/1.45 | 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)
% 1.17/1.45 | ~ c_lessequals(V_c,V_d,T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_xt1_I11_J_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.45 | V_a = V_b
% 1.17/1.45 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_xt1_I12_J_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,V_a,T_a)
% 1.17/1.45 | V_a = V_b ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_linorder__antisym__conv2_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | V_x = V_y
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.45 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_linorder__antisym__conv1_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | V_x = V_y
% 1.17/1.45 | ~ c_lessequals(V_x,V_y,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_order__neq__le__trans_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,V_b,T_a)
% 1.17/1.45 | V_a = V_b ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_order__le__neq__trans_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.17/1.45 | V_a = V_b
% 1.17/1.45 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_order__le__less_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | V_x = V_y
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.45 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_order__less__le_2,axiom,
% 1.17/1.45 ( ~ class_Orderings_Oorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.45 | V_x = V_y
% 1.17/1.45 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_add__le__cancel__right_1,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.45 | 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)
% 1.17/1.45 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_add__le__cancel__right_0,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.45 | c_lessequals(V_a,V_b,T_a)
% 1.17/1.45 | ~ 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) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_add__le__cancel__left_1,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.45 | 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)
% 1.17/1.45 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_add__le__cancel__left_0,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.17/1.45 | c_lessequals(V_a,V_b,T_a)
% 1.17/1.45 | ~ 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) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_add__right__mono_0,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.17/1.45 | 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)
% 1.17/1.45 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_add__left__mono_0,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 1.17/1.45 | 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)
% 1.17/1.45 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_abs__le__D1_0,axiom,
% 1.17/1.45 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.17/1.45 | c_lessequals(V_a,V_b,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_less__le__not__le_1,axiom,
% 1.17/1.45 ( ~ class_Orderings_Opreorder(T_a)
% 1.17/1.45 | ~ c_lessequals(V_y,V_x,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_not__leE_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.45 | c_lessequals(V_y,V_x,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_linorder__antisym__conv2_1,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | ~ c_lessequals(V_x,V_x,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_linorder__antisym__conv1_1,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 1.17/1.45 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_linorder__not__less_1,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.17/1.45 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_linorder__not__less_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | c_lessequals(V_y,V_x,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_linorder__not__le_0,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.17/1.45 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_linorder__not__le_1,axiom,
% 1.17/1.45 ( ~ class_Orderings_Olinorder(T_a)
% 1.17/1.45 | ~ c_lessequals(V_x,V_y,T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq__number__of_5,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq__number__of_7,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of1_5,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_divide__le__eq__number__of1_5,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of_1,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.45 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of_4,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of1_4,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.45
% 1.17/1.45 cnf(cls_le__divide__eq__number__of1_1,axiom,
% 1.17/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.45 | ~ class_Int_Onumber(T_a)
% 1.17/1.45 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.45 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.45 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of1_4,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of1_1,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of_8,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.46 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of1_8,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of1_8,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.46 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of_6,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.46 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of1_7,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of1_7,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of_5,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of_7,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.46 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of_6,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of_8,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of_1,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of_4,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of1_6,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_le__divide__eq__number__of1_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of1_6,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__le__eq__number__of1_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_zero__less__power__eq_4,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.17/1.46 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.46 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_zero__less__power__eq_5,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.17/1.46 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_power__less__zero__eq_2,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_power__less__zero__eq_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.46 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_power__less__zero__eq__number__of_1,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__eq__eq__number__of_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 1.17/1.46 | V_b = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a)
% 1.17/1.46 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 1.17/1.46 | ~ 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)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__strict__left__mono_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 1.17/1.46 | ~ 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)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__eq__eq__number__of1_4,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_add__frac__eq_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.17/1.46 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 1.17/1.46 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.17/1.46 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__eq__eq__number__of_3,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 1.17/1.46 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_eq__divide__eq__number__of1_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_b
% 1.17/1.46 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_divide__eq__eq__number__of1_0,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.17/1.46 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_less__divide__eq__number__of_3,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_less__divide__eq__number__of_2,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_eq__divide__eq__number__of_3,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | ~ class_Int_Onumber(T_a)
% 1.17/1.46 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a)
% 1.17/1.46 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_less__divide__eq_7,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_less__divide__eq_5,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_less__divide__eq_4,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.17/1.46
% 1.17/1.46 cnf(cls_less__divide__eq_1,axiom,
% 1.17/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.17/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.17/1.46 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.17/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_divide__less__eq_7,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_divide__less__eq_5,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_divide__less__eq_4,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_divide__less__eq_1,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_divide__less__eq__number__of_3,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | ~ class_Int_Onumber(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_divide__less__eq__number__of_2,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | ~ class_Int_Onumber(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_divide__less__0__1__iff_1,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_divide__less__0__1__iff_0,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_less__divide__eq__number__of1_3,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | ~ class_Int_Onumber(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_less__divide__eq__number__of1_2,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | ~ class_Int_Onumber(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_one__le__inverse__iff_0,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.46 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_inverse__less__1__iff_1,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.46 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_one__le__inverse__iff_2,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.46 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 1.36/1.46 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_inv__of__nat__fact__ge__zero_0,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.46 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_power__Suc__less__one_0,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.46 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_power__le__imp__le__exp_0,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.46 | c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.46 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_power__increasing__iff_0,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.46 | c_lessequals(V_x,V_y,tc_nat)
% 1.36/1.46 | ~ c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_power__increasing__iff_1,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.46 | c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 1.36/1.46 | ~ c_lessequals(V_x,V_y,tc_nat)
% 1.36/1.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_of__nat__0__le__iff_0,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.46 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 1.36/1.46 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.46 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 1.36/1.46 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.36/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.46 | 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) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_add__increasing_0,axiom,
% 1.36/1.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.36/1.46 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.36/1.46 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.36/1.46 | ~ c_lessequals(V_b,V_c,T_a)
% 1.36/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.46
% 1.36/1.46 cnf(cls_add__increasing2_0,axiom,
% 1.36/1.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.36/1.46 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.36/1.46 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.36/1.46 | ~ c_lessequals(V_b,V_a,T_a)
% 1.36/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.36/1.47 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.47 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.36/1.47 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.47 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__le__zero__iff_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__of__nonneg_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__le__0__iff_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__le__0__iff_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__le__0__iff_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__le__0__iff_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__mono1_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__left__mono_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__right__mono_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__left__mono__neg_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__right__mono__neg_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_split__mult__pos__le_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_split__mult__pos__le_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__square_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__mult__iff_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__mult__iff_5,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__mult__iff_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__mult__iff_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__mult__iff_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__mult__iff_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__mono_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(V_c,V_d,T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__mono_H_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_lessequals(V_c,V_d,T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__le__0__iff_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__le__0__iff_5,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_split__mult__neg__le_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_split__mult__neg__le_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__le__zero__iff_1,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__nonneg__nonneg_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__le__one_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_not__one__le__zero_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.36/1.47 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__nonpos__nonpos_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__ge__zero_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_of__nat__0_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.36/1.47 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__iff__diff__less__0_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__iff__diff__less__0_1,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.36/1.47 | ~ 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__eq__0__iff__number__of_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.36/1.47 | ~ class_Power_Opower(T_a)
% 1.36/1.47 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__less__zero__eq_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__power_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__le__zero__eq__number__of_5,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.47 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__le__zero__eq__number__of_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.47 | c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__strict__mono_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(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_Oinverse__class_Odivide(V_a,V_b,T_a)
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(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_Oinverse__class_Odivide(V_a,V_b,T_a)
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__0__iff_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__0__iff_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__0__iff_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__0__iff_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__self__if_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__self_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_right__inverse__eq_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq__number__of1_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq__number__of_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq__number__of_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__eq__number__of_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__eq__number__of_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__eq_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__imp_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__imp_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__divide__iff_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__divide__iff_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__divide__iff_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__divide__iff_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_right__inverse__eq_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 1.36/1.47 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | V_a = V_b ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__eq_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__eq_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__divide__eq_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__divide__eq_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__neg__neg_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__pos__pos_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__divide__iff_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__divide__iff_5,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__strict__right__mono_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_nonzero__abs__divide_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 1.36/1.47 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__eq__number__of1_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__eq__number__of1_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__eq__number__of_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__num__frac_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)
% 1.36/1.47 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__frac__num_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)
% 1.36/1.47 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__divide__eq_9,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__divide__eq_8,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__eq_9,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__eq_8,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq__number__of_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq__number__of_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)
% 1.36/1.47 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a) = V_b
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__divide__eq_6,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__divide__eq_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__eq_6,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__eq_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq__number__of1_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__eq__number__of1_3,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_a
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__div__pos_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq__number__of1_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__triangle__ineq4_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_le__add__iff2_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_le__add__iff2_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_le__add__iff1_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_le__add__iff1_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__mono__even_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.47 | c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,T_a),c_HOL_Oabs__class_Oabs(V_y,T_a),T_a)
% 1.36/1.47 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__power__eq__number__of_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 1.36/1.47 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_zero__less__power__eq__number__of_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.47 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gcd__lcm__complete__lattice__nat_Oinf__eq__top__eq2_0,axiom,
% 1.36/1.47 ( c_GCD_Ogcd__class_Ogcd(V_A,V_B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_B = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gcd__lcm__complete__lattice__nat_Oinf__eq__top__eq1_0,axiom,
% 1.36/1.47 ( c_GCD_Ogcd__class_Ogcd(V_A,V_B,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_A = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gcd__zero__nat_0,axiom,
% 1.36/1.47 ( c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gcd__zero__nat_1,axiom,
% 1.36/1.47 ( c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gcd__zero__nat_2,axiom,
% 1.36/1.47 c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_neq0__conv_1,axiom,
% 1.36/1.47 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gr0I_0,axiom,
% 1.36/1.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.36/1.47 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__is__0_1,axiom,
% 1.36/1.47 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__is__0_2,axiom,
% 1.36/1.47 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gcd__lcm__complete__lattice__nat_Otop__greatest_0,axiom,
% 1.36/1.47 c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_even__zero__nat_0,axiom,
% 1.36/1.47 c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 1.36/1.47 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.36/1.47 | V_m = V_n
% 1.36/1.47 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__cancel1_0,axiom,
% 1.36/1.47 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 1.36/1.47 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_m = V_n ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__cancel2_0,axiom,
% 1.36/1.47 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 1.36/1.47 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_m = V_n ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gcd__0__nat_0,axiom,
% 1.36/1.47 c_GCD_Ogcd__class_Ogcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_x ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gcd__0__left__nat_0,axiom,
% 1.36/1.47 c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),V_x,tc_nat) = V_x ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_not__less0_0,axiom,
% 1.36/1.47 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_gr__implies__not0_0,axiom,
% 1.36/1.47 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_fact__nonzero__nat_0,axiom,
% 1.36/1.47 c_Fact_Ofact__class_Ofact(V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__cancel1_1,axiom,
% 1.36/1.47 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) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__cancel2_1,axiom,
% 1.36/1.47 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) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__is__0_0,axiom,
% 1.36/1.47 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__is__0_0,axiom,
% 1.36/1.47 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__is__0_1,axiom,
% 1.36/1.47 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.47 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 1.36/1.47 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__eq__self__zero_0,axiom,
% 1.36/1.47 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 1.36/1.47 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__is__0_2,axiom,
% 1.36/1.47 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) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 1.36/1.47 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 1.36/1.47 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 1.36/1.47 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_dvd__power_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.47 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mod__diff__cong_0,axiom,
% 1.36/1.47 ( ~ class_Divides_Oring__div(T_a)
% 1.36/1.47 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 1.36/1.47 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mod__diff__right__eq_0,axiom,
% 1.36/1.47 ( ~ class_Divides_Oring__div(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mod__diff__left__eq_0,axiom,
% 1.36/1.47 ( ~ class_Divides_Oring__div(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mod__diff__eq_0,axiom,
% 1.36/1.47 ( ~ class_Divides_Oring__div(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__minus__commute_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__eqI_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.36/1.47 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_less__eqI_1,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.36/1.47 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_dvd__diff_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 1.36/1.47 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 1.36/1.47 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 1.36/1.47 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_diff__add__cancel_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.36/1.47 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__right_Odiff_0,axiom,
% 1.36/1.47 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult_Odiff__right_0,axiom,
% 1.36/1.47 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult_Odiff__left_0,axiom,
% 1.36/1.47 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_mult__left_Odiff_0,axiom,
% 1.36/1.47 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_add__diff__cancel_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.36/1.47 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_one__less__inverse__iff_2,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_division__ring__inverse__add_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.47 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 1.36/1.47 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_inverse__add_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 1.36/1.47 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_right__inverse_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.47 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_left__inverse_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.47 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_field__inverse_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.36/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_one__less__inverse__iff_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_DERIV__mult__lemma_0,axiom,
% 1.36/1.47 ( ~ class_RealVector_Oreal__field(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__mult_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.36/1.47 | c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_n,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__commutes_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.36/1.47 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__one_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.36/1.47 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__mult__distrib_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 1.36/1.47 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.47 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_class__semiring_Opwr__pwr_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.47 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_x,V_p,T_a),V_q,T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__abs_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.47 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_dvd__power__same_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.47 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 1.36/1.47 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_n__less__m__mult__n_0,axiom,
% 1.36/1.47 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_n__less__n__mult__m_0,axiom,
% 1.36/1.47 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_one__less__mult_0,axiom,
% 1.36/1.47 ( 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)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_odd__nat__equiv__def_0,axiom,
% 1.36/1.47 ( 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))
% 1.36/1.47 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_odd__nat__equiv__def_1,axiom,
% 1.36/1.47 ( 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))
% 1.36/1.47 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_even__nat__equiv__def_0,axiom,
% 1.36/1.47 ( 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)
% 1.36/1.47 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_even__nat__equiv__def_1,axiom,
% 1.36/1.47 ( 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)
% 1.36/1.47 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_even__nat__equiv__def2_1,axiom,
% 1.36/1.47 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) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__eq_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_eq__divide__eq_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 1.36/1.47 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__eq__number__of1_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | ~ class_Int_Onumber(T_a)
% 1.36/1.47 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__neg__pos_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__pos__neg_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__0__iff_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__less__0__iff_5,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.47 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_frac__eq__eq_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 1.36/1.47 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_frac__eq__eq_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 1.36/1.47 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_divide__eq__eq_4,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.47 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__triangle__ineq3_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_abs__triangle__ineq2_0,axiom,
% 1.36/1.47 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 1.36/1.47 | 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__mono__odd_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.47 | c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(V_x,V_y,T_a)
% 1.36/1.47 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_one__le__power_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.47 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.47 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_of__nat__le__iff_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.47 | c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.47 | ~ 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) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_of__nat__le__iff_1,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.47 | 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)
% 1.36/1.47 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_power__0_0,axiom,
% 1.36/1.47 ( ~ class_Power_Opower(T_a)
% 1.36/1.47 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.47 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.36/1.47
% 1.36/1.47 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 1.36/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.36/1.48 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nonzero__abs__inverse_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__less__imp__less_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__imp__inverse__less_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Fact_Ofact__0__nat_0,axiom,
% 1.36/1.48 c_Fact_Ofact__class_Ofact(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_dvd__1__iff__1_0,axiom,
% 1.36/1.48 ( V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__is__1_3,axiom,
% 1.36/1.48 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__is__1_0,axiom,
% 1.36/1.48 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mod__Suc_0,axiom,
% 1.36/1.48 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 1.36/1.48 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__less__Suc_0,axiom,
% 1.36/1.48 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_gr0__conv__Suc_1,axiom,
% 1.36/1.48 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__lt__two__imp__zero__or__one_0,axiom,
% 1.36/1.48 ( V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_x = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_dvd__1__left_0,axiom,
% 1.36/1.48 c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__Suc0_0,axiom,
% 1.36/1.48 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__is__1_4,axiom,
% 1.36/1.48 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)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__power__eq__Suc__0__iff_1,axiom,
% 1.36/1.48 c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__eq__1__iff_1,axiom,
% 1.36/1.48 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__eq__1__iff_0,axiom,
% 1.36/1.48 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_gcd__Suc__0_0,axiom,
% 1.36/1.48 c_GCD_Ogcd__class_Ogcd(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_dvd__1__iff__1_1,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_fact__Suc__0__nat_0,axiom,
% 1.36/1.48 c_Fact_Ofact__class_Ofact(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__is__1_2,axiom,
% 1.36/1.48 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__is__1_1,axiom,
% 1.36/1.48 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__Suc__0_0,axiom,
% 1.36/1.48 c_Power_Opower__class_Opower(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__power__eq__Suc__0__iff_2,axiom,
% 1.36/1.48 c_Power_Opower__class_Opower(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__is__add_3,axiom,
% 1.36/1.48 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.36/1.48 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__is__add_0,axiom,
% 1.36/1.48 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.36/1.48 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__is__add_5,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__Suc0_1,axiom,
% 1.36/1.48 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__is__add_2,axiom,
% 1.36/1.48 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.36/1.48 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__is__add_1,axiom,
% 1.36/1.48 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 1.36/1.48 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__eq__1__iff_2,axiom,
% 1.36/1.48 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)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mod__1_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__is__add_4,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__power__eq__Suc__0__iff_0,axiom,
% 1.36/1.48 ( c_Power_Opower__class_Opower(V_x,V_m,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 1.36/1.48 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__is__1_5,axiom,
% 1.36/1.48 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)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__one__over_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__le__1__iff_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__le__inverse__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__Suc_0,axiom,
% 1.36/1.48 ( ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__Suc2_0,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_class__semiring_Opwr__Suc_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_x,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.48 | c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.48 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_gcd__le2__nat_0,axiom,
% 1.36/1.48 ( c_lessequals(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_b,tc_nat)
% 1.36/1.48 | V_b = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_gcd__le1__nat_0,axiom,
% 1.36/1.48 ( c_lessequals(c_GCD_Ogcd__class_Ogcd(V_a,V_b,tc_nat),V_a,tc_nat)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__imp__power__dvd_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.48 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_dvd__power__le_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.48 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_m,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__dvd_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.36/1.48 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__add__0_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__less__diff_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__less__diff_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ 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) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__less_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ 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) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__eq__Suc__le_1,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__eq__Suc__le_0,axiom,
% 1.36/1.48 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__le__eq_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__leI_0,axiom,
% 1.36/1.48 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__Suc__eq__le_1,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__Suc__eq__le_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__less__Suc__eq_1,axiom,
% 1.36/1.48 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__less__Suc__eq_0,axiom,
% 1.36/1.48 ( V_n = V_m
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Int_Onumber__ring(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__eq__divide_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__inverse_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Int_Onumber__ring(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__less__Suc_0,axiom,
% 1.36/1.48 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__add__diff_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__less__mono_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_c,V_a,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__diff__conv2_1,axiom,
% 1.36/1.48 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_odd__nat__equiv__def2_1,axiom,
% 1.36/1.48 ~ 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__1_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__frac__frac_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_abs__divide_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__frac__num_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__divide__distrib_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide_Oadd_0,axiom,
% 1.36/1.48 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__gt1_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_dvd__imp__le_0,axiom,
% 1.36/1.48 ( c_lessequals(V_k,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mod__le__divisor_0,axiom,
% 1.36/1.48 ( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__cancel1_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__cancel2_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ 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)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__cancel1_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.36/1.48 | ~ 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) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__cancel2_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 1.36/1.48 | ~ 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) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__SucE_0,axiom,
% 1.36/1.48 ( V_m = V_n
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__antisym_0,axiom,
% 1.36/1.48 ( V_m = V_n
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 1.36/1.48 ( V_n = V_m
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__Suc__right_0,axiom,
% 1.36/1.48 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)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__Suc_0,axiom,
% 1.36/1.48 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)) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__Suc__shift_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_not__less__eq_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_not__less__eq_1,axiom,
% 1.36/1.48 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__mult__cancel1_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | V_m = V_n ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__lessD_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__SucI_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_lessI_0,axiom,
% 1.36/1.48 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__Suc__eq_2,axiom,
% 1.36/1.48 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__trans__Suc_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mod__Suc_1,axiom,
% 1.36/1.48 ( 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))
% 1.36/1.48 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__lessI_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 1.36/1.48 | c_Suc(V_m) = V_n
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_even__Suc_0,axiom,
% 1.36/1.48 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(V_x),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_even__Suc_1,axiom,
% 1.36/1.48 ( c_Parity_Oeven__odd__class_Oeven(c_Suc(V_x),tc_nat)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__mono_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__less__eq_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__eq__divide__number__of_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Int_Onumber(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 1.36/1.48 ( c_lessequals(V_x,V_y,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__less__le_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__add1_0,axiom,
% 1.36/1.48 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__add2_0,axiom,
% 1.36/1.48 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__iff__add_1,axiom,
% 1.36/1.48 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__Suc__ex__iff_1,axiom,
% 1.36/1.48 c_lessequals(V_k,c_HOL_Oplus__class_Oplus(V_k,V_x,tc_nat),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__le__mono_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_l,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__cube_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__mono_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_l,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__less__le_2,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | V_m = V_n
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__eq__less__or__eq_0,axiom,
% 1.36/1.48 ( V_m = V_n
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__neq__implies__less_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | V_m = V_n
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__mono1_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__mono2_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__cancel1_2,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mult__le__cancel2_2,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__le__mono1_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ 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) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_fact__mono__nat_0,axiom,
% 1.36/1.48 ( c_lessequals(c_Fact_Ofact__class_Ofact(V_m,tc_nat),c_Fact_Ofact__class_Ofact(V_n,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 1.36/1.48 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 1.36/1.48 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__leE_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__leE_1,axiom,
% 1.36/1.48 ( c_lessequals(V_k,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_trans__le__add1_0,axiom,
% 1.36/1.48 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_trans__le__add2_0,axiom,
% 1.36/1.48 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_mod__less__eq__dividend_0,axiom,
% 1.36/1.48 c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__square_0,axiom,
% 1.36/1.48 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__le__add__iff2_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ 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)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__le__add__iff2_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ 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)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__le__add__iff1_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ 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)
% 1.36/1.48 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__le__add__iff1_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ 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)
% 1.36/1.48 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__eq__add__iff2_1,axiom,
% 1.36/1.48 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 1.36/1.48 | 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) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__diff__add__eq2_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__diff__add__eq1_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__eq__add__iff2_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat)
% 1.36/1.48 | 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) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__eq__add__iff1_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_j,V_i,tc_nat)
% 1.36/1.48 | 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 ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__eq__add__iff1_1,axiom,
% 1.36/1.48 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 1.36/1.48 | 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) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__imp__diff__less_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__less__mono2_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__cancel_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__cancel2_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_dvd__diff__nat_0,axiom,
% 1.36/1.48 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__diff__left_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_even__difference__nat_4,axiom,
% 1.36/1.48 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_even__difference__nat_3,axiom,
% 1.36/1.48 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__mult__distrib_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__mult__distrib2_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__add__inverse_0,axiom,
% 1.36/1.48 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__add__inverse2_0,axiom,
% 1.36/1.48 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__1_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__eq__1__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__mult__distrib_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__eq__1__iff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 1.36/1.48 | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_abs__inverse_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq__number__of_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__eq__number__of_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__eq__number__of_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__eq__number__of_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq__number__of_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 1.36/1.48 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__diff__conv2_0,axiom,
% 1.36/1.48 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__mod__geq_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__add__assoc2_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__add__assoc_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_gcd__diff2__nat_0,axiom,
% 1.36/1.48 ( c_GCD_Ogcd__class_Ogcd(c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),V_n,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_gcd__diff1__nat_0,axiom,
% 1.36/1.48 ( c_GCD_Ogcd__class_Ogcd(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = c_GCD_Ogcd__class_Ogcd(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_dvd__diffD1_0,axiom,
% 1.36/1.48 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_dvd__diffD_0,axiom,
% 1.36/1.48 ( c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,tc_nat)
% 1.36/1.48 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__diff__conv_1,axiom,
% 1.36/1.48 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__diff__conv_0,axiom,
% 1.36/1.48 ( c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__diff__right_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__imp__diff__is__add_1,axiom,
% 1.36/1.48 ( ~ c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat) = V_k ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__add__diff__inverse2_0,axiom,
% 1.36/1.48 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__add__diff__inverse_0,axiom,
% 1.36/1.48 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__imp__diff__is__add_0,axiom,
% 1.36/1.48 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 1.36/1.48 | V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__diff__assoc2_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_add__diff__assoc_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__diff__iff_1,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_less__diff__iff_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__even__power_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.36/1.48 | ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__iff_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__eq_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__less__imp__less__base_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq__number__of_3,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__abs_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.36/1.48 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__iff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__odd__power_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__odd__power_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__eq_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__eq_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__eq_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__eq_3,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__eq_9,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__divide__eq_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__divide__eq_3,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__divide__eq_9,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_frac__less2_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,V_y,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__0__1__iff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__0__1__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__nonneg__neg_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__nonpos__pos_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_frac__less_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_w,V_z,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__nonneg__pos_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__nonpos__neg_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_frac__le_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_w,V_z,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,V_y,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__less__power__eq_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__eq__0__iff__number__of_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__less__power__eq_3,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__0__left_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__0__left__number__of_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__eq__0__iff__number__of_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__frac__eq_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 1.36/1.48 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__le__1__iff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 1.36/1.48 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__le__1__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__le__imp__le_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(V_b,V_a,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__imp__inverse__le_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(V_b,V_a,T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__increasing_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.48 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_division__ring__inverse__diff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 1.36/1.48 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nonzero__inverse__eq__divide_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_fact__ge__Suc__0__nat_0,axiom,
% 1.36/1.48 c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Fact_Ofact__class_Ofact(V_n,tc_nat),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__le__mult__iff_1,axiom,
% 1.36/1.48 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__le__mult__iff_0,axiom,
% 1.36/1.48 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__one__le__power_0,axiom,
% 1.36/1.48 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Power_Opower__class_Opower(V_i,V_n,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_i,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_one__le__mult__iff_2,axiom,
% 1.36/1.48 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__pred_0,axiom,
% 1.36/1.48 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__Suc__less_0,axiom,
% 1.36/1.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_of__nat__diff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 1.36/1.48 | 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)
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 1.36/1.48 ( 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 1.36/1.48 | V_a = V_b
% 1.36/1.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq_5,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq__number__of_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq_4,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__decreasing_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.48 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_lemma__realpow__diff_0,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_y,c_HOL_Ominus__class_Ominus(c_Suc(V_n),V_p,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_y,c_HOL_Ominus__class_Ominus(V_n,V_p,tc_nat),T_a),V_y,T_a)
% 1.36/1.48 | ~ c_lessequals(V_p,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__SucI_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__leD_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__n__not__le__n_0,axiom,
% 1.36/1.48 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nonzero__power__divide_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 1.36/1.48 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__0__eq_1,axiom,
% 1.36/1.48 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_order__eq__refl_0,axiom,
% 1.36/1.48 ( ~ class_Orderings_Opreorder(T_a)
% 1.36/1.48 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_order__eq__iff_0,axiom,
% 1.36/1.48 ( ~ class_Orderings_Oorder(T_a)
% 1.36/1.48 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_eq__imp__le_0,axiom,
% 1.36/1.48 c_lessequals(V_x,V_x,tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__trans_0,axiom,
% 1.36/1.48 ( c_lessequals(V_i,V_k,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_j,V_k,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__refl_0,axiom,
% 1.36/1.48 c_lessequals(V_n,V_n,tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_order__trans_0,axiom,
% 1.36/1.48 ( ~ class_Orderings_Opreorder(T_a)
% 1.36/1.48 | c_lessequals(V_x,V_z,T_a)
% 1.36/1.48 | ~ c_lessequals(V_y,V_z,T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_xt1_I6_J_0,axiom,
% 1.36/1.48 ( ~ class_Orderings_Oorder(T_a)
% 1.36/1.48 | c_lessequals(V_z,V_x,T_a)
% 1.36/1.48 | ~ c_lessequals(V_z,V_y,T_a)
% 1.36/1.48 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_eq__divide__eq_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__le__mono_1,axiom,
% 1.36/1.48 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__le__mono_0,axiom,
% 1.36/1.48 ( c_lessequals(V_n,V_m,tc_nat)
% 1.36/1.48 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_linorder__linear_0,axiom,
% 1.36/1.48 ( ~ class_Orderings_Olinorder(T_a)
% 1.36/1.48 | c_lessequals(V_y,V_x,T_a)
% 1.36/1.48 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat__le__linear_0,axiom,
% 1.36/1.48 ( c_lessequals(V_n,V_m,tc_nat)
% 1.36/1.48 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__imp__le__base_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.48 | c_lessequals(V_a,V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__le__zero__eq_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 1.36/1.48 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__neq__Zero_0,axiom,
% 1.36/1.48 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__divide__iff_5,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__divide__iff_4,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__iff__diff__le__0_1,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.36/1.48 | c_lessequals(V_a,V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__iff__diff__le__0_0,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__Suc__Suc_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nonzero__power__inverse_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__inject_0,axiom,
% 1.36/1.48 ( c_Suc(V_x) != c_Suc(V_y)
% 1.36/1.48 | V_x = V_y ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat_Oinject_0,axiom,
% 1.36/1.48 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 1.36/1.48 | V_nat = V_nat_H ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__0__iff_3,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__0__iff_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__0__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__0__iff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__power__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__is__0__eq_0,axiom,
% 1.36/1.48 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__is__0__eq_1,axiom,
% 1.36/1.48 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__self__if_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__diff__diff_0,axiom,
% 1.36/1.48 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) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__diff__cancel_0,axiom,
% 1.36/1.48 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 1.36/1.48 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__SucE_0,axiom,
% 1.36/1.48 ( V_m = c_Suc(V_n)
% 1.36/1.48 | c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__inject__base_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a)
% 1.36/1.48 | V_a = V_b
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__inverse_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__right__mono__neg_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__right__mono_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__eqI_0,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.36/1.48 | c_lessequals(V_y_H,V_x_H,T_a)
% 1.36/1.48 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__eqI_1,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.36/1.48 | c_lessequals(V_y,V_x,T_a)
% 1.36/1.48 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__zero_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 1.36/1.48 | V_a = V_b
% 1.36/1.48 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 1.36/1.48 | V_a = V_b ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__n__not__n_0,axiom,
% 1.36/1.48 c_Suc(V_n) != V_n ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_n__not__Suc__n_0,axiom,
% 1.36/1.48 V_n != c_Suc(V_n) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__divide_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__0__left_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__eq__0__iff_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_field__power__not__zero_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__eq__0__iff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_order__antisym__conv_0,axiom,
% 1.36/1.48 ( ~ class_Orderings_Oorder(T_a)
% 1.36/1.48 | V_x = V_y
% 1.36/1.48 | ~ c_lessequals(V_x,V_y,T_a)
% 1.36/1.48 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__antisym_0,axiom,
% 1.36/1.48 ( V_m = V_n
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diffs0__imp__equal_0,axiom,
% 1.36/1.48 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | V_m = V_n ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_order__eq__iff_2,axiom,
% 1.36/1.48 ( ~ class_Orderings_Oorder(T_a)
% 1.36/1.48 | V_x = V_y
% 1.36/1.48 | ~ c_lessequals(V_y,V_x,T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_order__antisym_0,axiom,
% 1.36/1.48 ( ~ class_Orderings_Oorder(T_a)
% 1.36/1.48 | V_x = V_y
% 1.36/1.48 | ~ c_lessequals(V_y,V_x,T_a)
% 1.36/1.48 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__divide_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__0__eq_0,axiom,
% 1.36/1.48 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nz_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(t_a)
% 1.36/1.48 | v_a != c_HOL_Ozero__class_Ozero(t_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__divide__distrib_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide_Odiff_0,axiom,
% 1.36/1.48 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_right__minus__eq_1,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__0__right_0,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__self_0,axiom,
% 1.36/1.48 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.36/1.48 | ~ class_Int_Onumber__ring(T_a)
% 1.36/1.48 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_diff__self__eq__0_0,axiom,
% 1.36/1.48 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 1.36/1.48 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Suc__diff__le_0,axiom,
% 1.36/1.48 ( 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))
% 1.36/1.48 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__0__iff_5,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_divide__le__0__iff_4,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 1.36/1.48 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_Zero__neq__Suc_0,axiom,
% 1.36/1.48 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__0__Suc_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_inverse__inverse__eq_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_power__eq__0__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.36/1.48 | ~ class_Power_Opower(T_a)
% 1.36/1.48 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__divide__iff_3,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__divide__iff_2,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__divide__iff_1,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_zero__le__divide__iff_0,axiom,
% 1.36/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.48 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__diff__iff_0,axiom,
% 1.36/1.48 ( c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.48 | ~ 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)
% 1.36/1.48 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.36/1.48 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.36/1.48
% 1.36/1.48 cnf(cls_le__diff__iff_1,axiom,
% 1.36/1.49 ( 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)
% 1.36/1.49 | ~ c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.49 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.36/1.49 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_diff__le__mono_0,axiom,
% 1.36/1.49 ( 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)
% 1.36/1.49 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_diff__le__mono2_0,axiom,
% 1.36/1.49 ( 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)
% 1.36/1.49 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_power__mono_0,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.36/1.49 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 1.36/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.36/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_eq__diff__iff_0,axiom,
% 1.36/1.49 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 1.36/1.49 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.36/1.49 | ~ c_lessequals(V_k,V_m,tc_nat)
% 1.36/1.49 | V_m = V_n ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_eq__eqI_0,axiom,
% 1.36/1.49 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.36/1.49 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 1.36/1.49 | V_x_H = V_y_H ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_eq__eqI_1,axiom,
% 1.36/1.49 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.36/1.49 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 1.36/1.49 | V_xa = V_y ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_power__le__zero__eq_3,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.36/1.49 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.49 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.49 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_diff__0__eq__0_0,axiom,
% 1.36/1.49 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_diff__le__self_0,axiom,
% 1.36/1.49 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 1.36/1.49 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.36/1.49 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.49 | V_a = V_b ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_right__minus__eq_0,axiom,
% 1.36/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.36/1.49 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.49 | V_a = V_b ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.36/1.49 | ~ class_Int_Onumber__ring(T_a)
% 1.36/1.49 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.36/1.49 | V_x = V_y ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_power__diff_0,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.49 | c_Power_Opower__class_Opower(V_a,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.36/1.49 | ~ c_lessequals(V_n,V_m,tc_nat)
% 1.36/1.49 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_divide__zero__left_0,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.49 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_divide__eq__eq_1,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.49 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_divide__zero_0,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.36/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.49 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_divide_Ozero_0,axiom,
% 1.36/1.49 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 1.36/1.49 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_diff__commute_0,axiom,
% 1.36/1.49 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) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 1.36/1.49 ( 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)
% 1.36/1.49 | ~ c_lessequals(V_k,V_n,tc_nat)
% 1.36/1.49 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.49 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.49 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.36/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.36/1.49 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.36/1.49 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_le0_0,axiom,
% 1.36/1.49 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_not__less__eq__eq_0,axiom,
% 1.36/1.49 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 1.36/1.49 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_not__less__eq__eq_1,axiom,
% 1.36/1.49 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 1.36/1.49 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_le__Suc__eq_2,axiom,
% 1.36/1.49 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(tfree_tcs,negated_conjecture,
% 1.36/1.49 class_Ring__and__Field_Ofield(t_a) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_conjecture_0,negated_conjecture,
% 1.36/1.49 c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(cls_conjecture_1,negated_conjecture,
% 1.36/1.49 c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(v_y),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_Suc(v_y),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),t_a) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Oring__1__no__zero__divisors(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__no__zero__divisors,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Oring__no__zero__divisors(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Ocancel__ab__semigroup__add(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Ocancel__semigroup__add(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ono__zero__divisors,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Ono__zero__divisors(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Ocomm__semiring__1(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Oab__semigroup__mult,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Oab__semigroup__mult(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Ocomm__monoid__mult,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Ocomm__monoid__mult(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Oab__semigroup__add,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Oab__semigroup__add(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Odivision__ring(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Ocomm__semiring(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Ocomm__monoid__add,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Ocomm__monoid__add(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ozero__neq__one,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Ozero__neq__one(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__ring__1,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Ocomm__ring__1(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Osemiring__1,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Osemiring__1(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Osemiring__0,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Osemiring__0(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Oab__group__add,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Oab__group__add(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Omult__zero,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Omult__zero(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__ring,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Ocomm__ring(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Omonoid__mult,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Omonoid__mult(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Osemiring,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Osemiring(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Omonoid__add,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Omonoid__add(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_OrderedGroup_Ogroup__add,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_OrderedGroup_Ogroup__add(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Oring__1(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Oring(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oidom,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Oidom(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odvd,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Ring__and__Field_Odvd(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsrel_Ring__and__Field_Ofield_Power_Opower,axiom,
% 1.36/1.49 ( ~ class_Ring__and__Field_Ofield(T)
% 1.36/1.49 | class_Power_Opower(T) ) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 1.36/1.49 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.36/1.49 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.36/1.49 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 1.36/1.49 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.36/1.49 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 1.36/1.49 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 1.36/1.49 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 1.36/1.49 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 1.36/1.49 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 1.36/1.49 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 1.36/1.49 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 1.36/1.49 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Osemiring(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 1.36/1.49 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 1.36/1.49 class_Divides_Osemiring__div(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 1.36/1.49 class_Nat_Osemiring__char__0(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 1.36/1.49 class_Ring__and__Field_Odvd(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 1.36/1.49 class_Orderings_Opreorder(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 1.36/1.49 class_Orderings_Olinorder(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 1.36/1.49 class_Orderings_Oorder(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Power_Opower,axiom,
% 1.36/1.49 class_Power_Opower(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_nat__Int_Onumber,axiom,
% 1.36/1.49 class_Int_Onumber(tc_nat) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 1.36/1.49 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 1.36/1.49 class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 1.36/1.49 class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 1.36/1.49 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 1.36/1.49 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,axiom,
% 1.36/1.49 class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 1.36/1.49 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.36/1.49 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.36/1.49 class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,axiom,
% 1.36/1.49 class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom,
% 1.36/1.49 class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Olordered__ring,axiom,
% 1.36/1.49 class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.36/1.49 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 1.36/1.49 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 1.36/1.49 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring__1,axiom,
% 1.36/1.49 class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__1,axiom,
% 1.36/1.49 class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
% 1.36/1.49 class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom,
% 1.36/1.49 class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 1.36/1.49 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 1.36/1.49 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom,
% 1.36/1.49 class_Ring__and__Field_Omult__mono(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring,axiom,
% 1.36/1.49 class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
% 1.36/1.49 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring,axiom,
% 1.36/1.49 class_Ring__and__Field_Osemiring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 1.36/1.49 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 1.36/1.49 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1,axiom,
% 1.36/1.49 class_Ring__and__Field_Oring__1(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oabs__if,axiom,
% 1.36/1.49 class_Ring__and__Field_Oabs__if(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Divides_Osemiring__div,axiom,
% 1.36/1.49 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom,
% 1.36/1.49 class_Ring__and__Field_Oring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 1.36/1.49 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 1.36/1.49 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Ring__and__Field_Odvd,axiom,
% 1.36/1.49 class_Ring__and__Field_Odvd(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 1.36/1.49 class_Orderings_Opreorder(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 1.36/1.49 class_Orderings_Olinorder(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Divides_Oring__div,axiom,
% 1.36/1.49 class_Divides_Oring__div(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 1.36/1.49 class_Orderings_Oorder(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 1.36/1.49 class_Int_Oring__char__0(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 1.36/1.49 class_Int_Onumber__ring(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Power_Opower,axiom,
% 1.36/1.49 class_Power_Opower(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 1.36/1.49 class_Int_Onumber(tc_Int_Oint) ).
% 1.36/1.49
% 1.36/1.49 %------------------------------------------------------------------------------
% 1.36/1.49 %-------------------------------------------
% 1.36/1.49 % Proof found
% 1.36/1.49 % SZS status Theorem for theBenchmark
% 1.36/1.49 % SZS output start Proof
% 1.36/1.49 %ClaNum:1503(EqnAxiom:114)
% 1.36/1.49 %VarNum:8703(SingletonVarNum:2776)
% 1.36/1.49 %MaxLitNum:6
% 1.36/1.49 %MaxfuncDepth:5
% 1.36/1.49 %SharedTerms:135
% 1.36/1.49 %goalClause: 196 232 340
% 1.36/1.49 %singleGoalClaCount:3
% 1.36/1.49 [115]P1(a1)
% 1.36/1.49 [116]P2(a1)
% 1.36/1.49 [117]P3(a18)
% 1.36/1.49 [118]P3(a1)
% 1.36/1.49 [119]P4(a18)
% 1.36/1.49 [120]P4(a1)
% 1.36/1.49 [121]P55(a18)
% 1.36/1.49 [122]P55(a1)
% 1.36/1.49 [123]P5(a1)
% 1.36/1.49 [124]P56(a1)
% 1.36/1.49 [125]P57(a18)
% 1.36/1.49 [126]P57(a1)
% 1.36/1.49 [127]P6(a1)
% 1.36/1.49 [128]P7(a18)
% 1.36/1.49 [129]P7(a1)
% 1.36/1.49 [130]P59(a1)
% 1.36/1.49 [131]P8(a18)
% 1.36/1.49 [132]P8(a1)
% 1.36/1.49 [133]P9(a18)
% 1.36/1.49 [134]P9(a1)
% 1.36/1.49 [135]P15(a1)
% 1.36/1.49 [136]P64(a18)
% 1.36/1.49 [137]P64(a1)
% 1.36/1.49 [138]P44(a18)
% 1.36/1.49 [139]P44(a1)
% 1.36/1.49 [140]P34(a1)
% 1.36/1.49 [141]P17(a18)
% 1.36/1.49 [142]P17(a1)
% 1.36/1.49 [143]P42(a18)
% 1.36/1.49 [144]P42(a1)
% 1.36/1.49 [145]P21(a18)
% 1.36/1.49 [146]P21(a1)
% 1.36/1.49 [147]P22(a18)
% 1.36/1.49 [148]P22(a1)
% 1.36/1.49 [149]P48(a1)
% 1.36/1.49 [150]P26(a18)
% 1.36/1.49 [151]P26(a1)
% 1.36/1.49 [152]P23(a18)
% 1.36/1.49 [153]P23(a1)
% 1.36/1.49 [154]P35(a18)
% 1.36/1.49 [155]P35(a1)
% 1.36/1.49 [156]P36(a18)
% 1.36/1.49 [157]P36(a1)
% 1.36/1.49 [158]P24(a18)
% 1.36/1.49 [159]P24(a1)
% 1.36/1.49 [160]P18(a1)
% 1.36/1.49 [161]P19(a18)
% 1.36/1.49 [162]P19(a1)
% 1.36/1.49 [163]P28(a1)
% 1.36/1.49 [164]P65(a18)
% 1.36/1.49 [165]P65(a1)
% 1.36/1.49 [166]P16(a1)
% 1.36/1.49 [167]P30(a18)
% 1.36/1.49 [168]P30(a1)
% 1.36/1.49 [169]P49(a18)
% 1.36/1.49 [170]P49(a1)
% 1.36/1.49 [171]P60(a1)
% 1.36/1.49 [172]P31(a18)
% 1.36/1.49 [173]P31(a1)
% 1.36/1.49 [174]P66(a1)
% 1.36/1.49 [175]P50(a18)
% 1.36/1.49 [176]P50(a1)
% 1.36/1.49 [177]P70(a18)
% 1.36/1.49 [178]P70(a1)
% 1.36/1.49 [179]P53(a18)
% 1.36/1.49 [180]P53(a1)
% 1.36/1.49 [181]P27(a18)
% 1.36/1.49 [182]P27(a1)
% 1.36/1.49 [183]P32(a18)
% 1.36/1.49 [184]P32(a1)
% 1.36/1.49 [185]P62(a1)
% 1.36/1.49 [186]P58(a18)
% 1.36/1.49 [187]P58(a1)
% 1.36/1.49 [188]P37(a1)
% 1.36/1.49 [189]P69(a18)
% 1.36/1.49 [190]P69(a1)
% 1.36/1.49 [191]P38(a18)
% 1.36/1.49 [192]P38(a1)
% 1.36/1.49 [193]P29(a1)
% 1.36/1.49 [194]P33(a18)
% 1.36/1.49 [195]P33(a1)
% 1.36/1.49 [196]P47(a2)
% 1.36/1.49 [197]P51(a18)
% 1.36/1.49 [198]P51(a1)
% 1.36/1.49 [199]P52(a18)
% 1.36/1.49 [200]P52(a1)
% 1.36/1.49 [201]P61(a18)
% 1.36/1.49 [202]P61(a1)
% 1.36/1.49 [203]P63(a18)
% 1.36/1.49 [204]P63(a1)
% 1.36/1.49 [205]P10(a1)
% 1.36/1.49 [206]P43(a1)
% 1.36/1.49 [207]P25(a1)
% 1.36/1.49 [208]P67(a1)
% 1.36/1.49 [209]P68(a1)
% 1.36/1.49 [210]P11(f3(a18),a18)
% 1.36/1.49 [232]P14(f14(a19),f3(a18),a18)
% 1.36/1.49 [211]E(f4(f3(a18),a18),f14(f3(a18)))
% 1.36/1.49 [338]~P12(f3(a18),f6(f3(a18),f3(a18),a18),a18)
% 1.36/1.49 [212]E(f4(f14(f3(a18)),a18),f14(f3(a18)))
% 1.36/1.49 [251]E(f13(f14(f3(a18)),f14(f3(a18)),a18),f14(f3(a18)))
% 1.36/1.49 [340]~E(f8(f15(a20,f14(a19),a2),f15(a20,f3(a18),a2),a2),f15(f10(a20,a2),f7(f3(a18),f14(a19),a18),a2))
% 1.36/1.49 [213]P13(x2131,x2131,a18)
% 1.36/1.49 [215]P14(x2151,x2151,a18)
% 1.36/1.49 [331]~P12(x3311,x3311,a18)
% 1.36/1.49 [216]E(f6(x2161,x2161,a18),x2161)
% 1.36/1.49 [217]E(f7(x2171,x2171,a18),f3(a18))
% 1.36/1.49 [218]P13(x2181,f3(a18),a18)
% 1.36/1.49 [219]P14(f3(a18),x2191,a18)
% 1.36/1.49 [230]P12(x2301,f14(x2301),a18)
% 1.36/1.49 [236]P12(f3(a18),f14(x2361),a18)
% 1.36/1.49 [250]P12(f3(a18),f4(x2501,a18),a18)
% 1.36/1.49 [263]P14(x2631,f13(x2631,x2631,a18),a18)
% 1.36/1.49 [324]~E(f14(x3241),x3241)
% 1.36/1.49 [328]~E(f14(x3281),f3(a18))
% 1.36/1.49 [329]~E(f4(x3291,a18),f3(a18))
% 1.36/1.49 [333]~P12(x3331,f3(a18),a18)
% 1.36/1.49 [334]~P14(f14(x3341),x3341,a18)
% 1.36/1.49 [221]E(f6(x2211,f3(a18),a18),x2211)
% 1.36/1.49 [222]E(f11(x2221,f3(a18),a18),x2221)
% 1.36/1.49 [223]E(f7(x2231,f3(a18),a18),x2231)
% 1.36/1.49 [224]E(f6(f3(a18),x2241,a18),x2241)
% 1.36/1.49 [225]E(f11(f3(a18),x2251,a18),x2251)
% 1.36/1.49 [226]E(f13(x2261,f3(a18),a18),f3(a18))
% 1.36/1.49 [227]E(f13(f3(a18),x2271,a18),f3(a18))
% 1.36/1.49 [228]E(f7(f3(a18),x2281,a18),f3(a18))
% 1.36/1.49 [237]E(f15(x2371,f3(a18),a18),f14(f3(a18)))
% 1.36/1.49 [239]P13(f14(f3(a18)),x2391,a18)
% 1.36/1.49 [252]P14(f14(f3(a18)),f4(x2521,a18),a18)
% 1.36/1.49 [253]E(f13(f14(x2531),f4(x2531,a18),a18),f4(f14(x2531),a18))
% 1.36/1.49 [281]P12(f3(a18),f15(x2811,f3(a18),a18),a18)
% 1.36/1.49 [308]P14(x3081,f13(x3081,f13(x3081,x3081,a18),a18),a18)
% 1.36/1.49 [240]E(f5(x2401,f14(f3(a18)),a18),f3(a18))
% 1.36/1.49 [242]E(f6(x2421,f14(f3(a18)),a18),f14(f3(a18)))
% 1.36/1.49 [244]E(f15(f14(f3(a18)),x2441,a18),f14(f3(a18)))
% 1.36/1.49 [262]E(f4(f11(f3(a18),x2621,a18),a18),f4(x2621,a18))
% 1.36/1.49 [284]P11(f13(f14(f14(f3(a18))),x2841,a18),a18)
% 1.36/1.49 [339]~P11(f14(f13(f14(f14(f3(a18))),x3391,a18)),a18)
% 1.36/1.49 [254]E(f13(x2541,x2542,a18),f13(x2542,x2541,a18))
% 1.36/1.49 [256]E(f6(x2561,x2562,a18),f6(x2562,x2561,a18))
% 1.36/1.49 [257]E(f11(x2571,x2572,a18),f11(x2572,x2571,a18))
% 1.36/1.49 [264]P14(x2641,f11(x2642,x2641,a18),a18)
% 1.36/1.49 [267]P14(x2671,f11(x2671,x2672,a18),a18)
% 1.36/1.49 [270]P13(f6(x2701,x2702,a18),x2702,a18)
% 1.36/1.49 [273]P13(f6(x2731,x2732,a18),x2731,a18)
% 1.36/1.49 [274]P14(f5(x2741,x2742,a18),x2741,a18)
% 1.36/1.49 [275]P14(f7(x2751,x2752,a18),x2751,a18)
% 1.36/1.49 [280]P12(f7(x2801,x2802,a18),f14(x2801),a18)
% 1.36/1.49 [336]~P12(f11(x3361,x3362,a18),x3362,a18)
% 1.36/1.49 [337]~P12(f11(x3371,x3372,a18),x3371,a18)
% 1.36/1.49 [258]E(f13(x2581,f3(a18),a18),f13(x2582,f3(a18),a18))
% 1.36/1.49 [259]E(f13(f3(a18),x2591,a18),f13(f3(a18),x2592,a18))
% 1.36/1.49 [260]E(f11(f14(x2601),x2602,a18),f11(x2601,f14(x2602),a18))
% 1.36/1.49 [261]E(f7(f14(x2611),f14(x2612),a18),f7(x2611,x2612,a18))
% 1.36/1.49 [276]E(f7(f11(x2761,x2762,a18),x2762,a18),x2761)
% 1.36/1.49 [277]E(f7(f11(x2771,x2772,a18),x2771,a18),x2772)
% 1.36/1.49 [278]E(f7(x2781,f11(x2781,x2782,a18),a18),f3(a18))
% 1.36/1.49 [279]E(f5(f13(x2791,x2792,a18),x2791,a18),f3(a18))
% 1.36/1.49 [282]E(f14(f11(x2821,x2822,a18)),f11(x2821,f14(x2822),a18))
% 1.36/1.49 [283]E(f14(f11(x2831,x2832,a18)),f11(f14(x2831),x2832,a18))
% 1.36/1.49 [285]E(f6(x2851,f5(x2852,x2851,a18),a18),f6(x2852,x2851,a18))
% 1.36/1.49 [286]E(f6(x2861,f6(x2861,x2862,a18),a18),f6(x2861,x2862,a18))
% 1.36/1.49 [287]E(f6(x2871,f11(x2871,x2872,a18),a18),f6(x2871,x2872,a18))
% 1.36/1.49 [288]E(f6(f11(x2881,x2882,a18),x2882,a18),f6(x2881,x2882,a18))
% 1.36/1.49 [289]E(f11(x2891,f13(x2891,x2892,a18),a18),f13(x2891,f14(x2892),a18))
% 1.36/1.49 [290]E(f11(x2901,f13(x2902,x2901,a18),a18),f13(f14(x2902),x2901,a18))
% 1.36/1.49 [292]P12(x2921,f14(f11(x2922,x2921,a18)),a18)
% 1.36/1.49 [294]P12(x2941,f14(f11(x2941,x2942,a18)),a18)
% 1.36/1.49 [295]P13(f13(f3(a18),x2951,a18),f13(f3(a18),x2952,a18),a18)
% 1.36/1.49 [306]E(f5(f14(f5(x3061,x3062,a18)),x3062,a18),f5(f14(x3061),x3062,a18))
% 1.36/1.49 [291]P13(f6(x2911,x2912,a18),f13(x2913,x2912,a18),a18)
% 1.36/1.49 [296]E(f6(x2961,f6(x2962,x2963,a18),a18),f6(x2962,f6(x2961,x2963,a18),a18))
% 1.36/1.49 [297]E(f11(x2971,f11(x2972,x2973,a18),a18),f11(x2972,f11(x2971,x2973,a18),a18))
% 1.36/1.49 [298]E(f13(f13(x2981,x2982,a18),x2983,a18),f13(x2981,f13(x2982,x2983,a18),a18))
% 1.36/1.49 [300]E(f6(f6(x3001,x3002,a18),x3003,a18),f6(x3001,f6(x3002,x3003,a18),a18))
% 1.36/1.49 [301]E(f11(f11(x3011,x3012,a18),x3013,a18),f11(x3011,f11(x3012,x3013,a18),a18))
% 1.36/1.49 [302]E(f7(f7(x3021,x3022,a18),x3023,a18),f7(x3021,f11(x3022,x3023,a18),a18))
% 1.36/1.49 [303]E(f7(f7(x3031,x3032,a18),x3033,a18),f7(f7(x3031,x3033,a18),x3032,a18))
% 1.36/1.49 [304]E(f7(f11(x3041,x3042,a18),f11(x3043,x3042,a18),a18),f7(x3041,x3043,a18))
% 1.36/1.49 [305]E(f7(f11(x3051,x3052,a18),f11(x3051,x3053,a18),a18),f7(x3052,x3053,a18))
% 1.36/1.49 [307]E(f7(f7(f14(x3071),x3072,a18),f14(x3073),a18),f7(f7(x3071,x3072,a18),x3073,a18))
% 1.36/1.49 [311]E(f6(f13(x3111,x3112,a18),f13(x3111,x3113,a18),a18),f13(x3111,f6(x3112,x3113,a18),a18))
% 1.36/1.49 [312]E(f11(f13(x3121,x3122,a18),f13(x3121,x3123,a18),a18),f13(x3121,f11(x3122,x3123,a18),a18))
% 1.36/1.49 [313]E(f5(f13(x3131,x3132,a18),f13(x3131,x3133,a18),a18),f13(x3131,f5(x3132,x3133,a18),a18))
% 1.36/1.49 [314]E(f7(f13(x3141,x3142,a18),f13(x3141,x3143,a18),a18),f13(x3141,f7(x3142,x3143,a18),a18))
% 1.36/1.49 [315]E(f11(f13(x3151,x3152,a18),f13(x3153,x3152,a18),a18),f13(f11(x3151,x3153,a18),x3152,a18))
% 1.36/1.49 [316]E(f5(f13(x3161,x3162,a18),f13(x3163,x3162,a18),a18),f13(f5(x3161,x3163,a18),x3162,a18))
% 1.36/1.49 [317]E(f7(f13(x3171,x3172,a18),f13(x3173,x3172,a18),a18),f13(f7(x3171,x3173,a18),x3172,a18))
% 1.36/1.49 [318]E(f6(f15(x3181,x3182,a18),f15(x3183,x3182,a18),a18),f15(f6(x3181,x3183,a18),x3182,a18))
% 1.36/1.49 [309]E(f6(x3091,f11(f13(x3092,x3091,a18),x3093,a18),a18),f6(x3091,x3093,a18))
% 1.36/1.49 [310]E(f5(f11(f13(x3101,x3102,a18),x3103,a18),x3102,a18),f5(x3103,x3102,a18))
% 1.36/1.49 [321]E(f5(f14(f11(f13(x3211,x3212,a18),x3213,a18)),x3212,a18),f5(f14(x3213),x3212,a18))
% 1.36/1.49 [322]E(f11(f13(x3221,x3222,a18),f11(f13(x3223,x3222,a18),x3224,a18),a18),f11(f13(f11(x3221,x3223,a18),x3222,a18),x3224,a18))
% 1.36/1.49 [341]~P47(a2)+~E(f3(a2),a20)
% 1.36/1.49 [342]~P47(x3421)+P2(x3421)
% 1.36/1.49 [343]~P47(x3431)+P3(x3431)
% 1.36/1.49 [344]~P47(x3441)+P59(x3441)
% 1.36/1.49 [345]~P47(x3451)+P45(x3451)
% 1.36/1.49 [346]~P47(x3461)+P64(x3461)
% 1.36/1.49 [347]~P47(x3471)+P44(x3471)
% 1.36/1.49 [348]~P47(x3481)+P34(x3481)
% 1.36/1.49 [349]~P47(x3491)+P17(x3491)
% 1.36/1.49 [350]~P47(x3501)+P42(x3501)
% 1.36/1.49 [351]~P47(x3511)+P21(x3511)
% 1.36/1.49 [352]~P47(x3521)+P22(x3521)
% 1.36/1.49 [353]~P47(x3531)+P26(x3531)
% 1.36/1.49 [354]~P47(x3541)+P23(x3541)
% 1.36/1.49 [355]~P47(x3551)+P24(x3551)
% 1.36/1.49 [356]~P47(x3561)+P18(x3561)
% 1.36/1.49 [357]~P47(x3571)+P19(x3571)
% 1.36/1.49 [358]~P47(x3581)+P65(x3581)
% 1.36/1.49 [359]~P47(x3591)+P66(x3591)
% 1.36/1.49 [360]~P47(x3601)+P50(x3601)
% 1.36/1.49 [361]~P47(x3611)+P70(x3611)
% 1.36/1.49 [362]~P47(x3621)+P53(x3621)
% 1.36/1.49 [363]~P47(x3631)+P27(x3631)
% 1.36/1.49 [364]~P47(x3641)+P69(x3641)
% 1.36/1.49 [365]~P47(x3651)+P38(x3651)
% 1.36/1.49 [366]~P47(x3661)+P43(x3661)
% 1.36/1.49 [367]~P47(x3671)+P25(x3671)
% 1.36/1.49 [368]~P47(x3681)+P67(x3681)
% 1.36/1.49 [369]~P47(x3691)+P68(x3691)
% 1.36/1.49 [373]~P70(x3731)+~E(f12(x3731),f3(x3731))
% 1.36/1.49 [379]P11(x3791,a18)+P11(f14(x3791),a18)
% 1.36/1.49 [386]~P11(x3861,a18)+~P11(f14(x3861),a18)
% 1.36/1.49 [390]E(x3901,f3(a18))+P12(f3(a18),x3901,a18)
% 1.36/1.49 [424]P11(x4241,a18)+P12(f3(a18),x4241,a18)
% 1.36/1.49 [445]~P55(x4451)+P12(f3(x4451),f12(x4451),x4451)
% 1.36/1.49 [446]~P55(x4461)+P14(f3(x4461),f12(x4461),x4461)
% 1.36/1.49 [471]E(x4711,f3(a18))+~P14(x4711,f3(a18),a18)
% 1.36/1.49 [517]~P55(x5171)+~P12(f12(x5171),f3(x5171),x5171)
% 1.36/1.49 [518]~P55(x5181)+~P14(f12(x5181),f3(x5181),x5181)
% 1.36/1.49 [374]~P64(x3741)+E(f16(f3(a18),x3741),f3(x3741))
% 1.36/1.49 [375]~P28(x3751)+E(f9(f3(x3751),x3751),f3(x3751))
% 1.36/1.49 [376]~P1(x3761)+E(f9(f12(x3761),x3761),f12(x3761))
% 1.36/1.49 [377]~P46(x3771)+E(f10(f3(x3771),x3771),f3(x3771))
% 1.36/1.49 [378]~P45(x3781)+E(f10(f12(x3781),x3781),f12(x3781))
% 1.36/1.49 [448]~P6(x4481)+E(f11(f3(x4481),f3(x4481),x4481),f3(x4481))
% 1.36/1.49 [495]~P28(x4951)+P14(f9(f3(x4951),x4951),f3(x4951),x4951)
% 1.36/1.49 [499]E(x4991,f3(a18))+~P12(x4991,f14(f3(a18)),a18)
% 1.36/1.49 [514]~P13(x5141,f14(f3(a18)),a18)+E(x5141,f14(f3(a18)))
% 1.36/1.49 [621]~P28(x6211)+~P12(f3(x6211),f9(f3(x6211),x6211),x6211)
% 1.36/1.49 [707]~P55(x7071)+P12(f3(x7071),f11(f12(x7071),f12(x7071),x7071),x7071)
% 1.36/1.49 [930]~P56(x9301)+E(f11(f13(f3(x9301),f3(x9301),x9301),f13(f3(x9301),f3(x9301),x9301),x9301),f3(x9301))
% 1.36/1.49 [1389]~P56(x13891)+P14(f11(f13(f3(x13891),f3(x13891),x13891),f13(f3(x13891),f3(x13891),x13891),x13891),f3(x13891),x13891)
% 1.36/1.49 [1478]~P56(x14781)+~P12(f3(x14781),f11(f13(f3(x14781),f3(x14781),x14781),f13(f3(x14781),f3(x14781),x14781),x14781),x14781)
% 1.36/1.49 [492]P11(x4921,a18)+E(f5(x4921,f14(f14(f3(a18))),a18),f14(f3(a18)))
% 1.36/1.49 [497]~P11(x4971,a18)+E(f5(x4971,f14(f14(f3(a18))),a18),f3(a18))
% 1.36/1.49 [585]P11(x5851,a18)+~E(f5(x5851,f14(f14(f3(a18))),a18),f3(a18))
% 1.36/1.49 [622]~P11(x6221,a18)+~E(f5(x6221,f14(f14(f3(a18))),a18),f14(f3(a18)))
% 1.36/1.49 [741]~P12(f3(a18),x7411,a18)+E(f14(f7(x7411,f14(f3(a18)),a18)),x7411)
% 1.36/1.49 [395]~P3(x3952)+P13(x3951,x3951,x3952)
% 1.36/1.49 [396]~P35(x3962)+P14(x3961,x3961,x3962)
% 1.36/1.49 [397]~P36(x3972)+P14(x3971,x3971,x3972)
% 1.36/1.49 [473]~P12(x4732,x4732,x4731)+~P4(x4731)
% 1.36/1.49 [474]~P12(x4742,x4742,x4741)+~P35(x4741)
% 1.36/1.49 [475]~P12(x4752,x4752,x4751)+~P36(x4751)
% 1.36/1.49 [498]P14(x4982,x4981,a18)+P14(x4981,x4982,a18)
% 1.36/1.49 [553]~P12(x5531,x5532,a18)+P14(x5531,x5532,a18)
% 1.36/1.49 [371]E(x3711,x3712)+~E(f14(x3711),f14(x3712))
% 1.36/1.49 [398]~P20(x3982)+E(f13(x3981,x3981,x3982),x3981)
% 1.36/1.49 [400]~P9(x4002)+E(f5(x4001,x4001,x4002),f3(x4002))
% 1.36/1.49 [401]~P18(x4012)+E(f7(x4011,x4011,x4012),f3(x4012))
% 1.36/1.49 [403]~P25(x4032)+E(f7(x4031,x4031,x4032),f3(x4032))
% 1.36/1.49 [404]~P3(x4042)+P13(x4041,f3(x4042),x4042)
% 1.36/1.49 [405]~P3(x4051)+P13(f12(x4051),x4052,x4051)
% 1.36/1.49 [460]~P28(x4602)+P14(x4601,f9(x4601,x4602),x4602)
% 1.36/1.49 [462]~E(f11(x4622,x4621,a18),x4622)+E(x4621,f3(a18))
% 1.36/1.49 [466]E(x4661,f3(a18))+~E(f6(x4662,x4661,a18),f3(a18))
% 1.36/1.49 [467]E(x4671,f3(a18))+~E(f11(x4672,x4671,a18),f3(a18))
% 1.36/1.49 [469]E(x4691,f3(a18))+~E(f6(x4691,x4692,a18),f3(a18))
% 1.36/1.49 [470]E(x4701,f3(a18))+~E(f11(x4701,x4702,a18),f3(a18))
% 1.36/1.49 [476]~P28(x4761)+P14(f3(x4761),f9(x4762,x4761),x4761)
% 1.36/1.49 [478]~P55(x4781)+P14(f3(x4781),f16(x4782,x4781),x4781)
% 1.36/1.49 [519]P12(x5191,x5192,a18)+P12(x5192,f14(x5191),a18)
% 1.36/1.49 [521]P14(x5211,x5212,a18)+P14(f14(x5212),x5211,a18)
% 1.36/1.49 [550]~P11(x5502,a18)+P11(f13(x5501,x5502,a18),a18)
% 1.36/1.49 [551]~P11(x5511,a18)+P11(f13(x5511,x5512,a18),a18)
% 1.36/1.49 [554]~P13(x5542,x5541,a18)+E(f6(x5541,x5542,a18),x5542)
% 1.36/1.49 [555]~P13(x5551,x5552,a18)+E(f6(x5551,x5552,a18),x5551)
% 1.36/1.49 [556]~P12(x5561,x5562,a18)+E(f5(x5561,x5562,a18),x5561)
% 1.36/1.49 [557]P13(x5571,x5572,a18)+~E(f6(x5571,x5572,a18),x5571)
% 1.36/1.49 [558]~P14(x5581,x5582,a18)+E(f7(x5581,x5582,a18),f3(a18))
% 1.36/1.49 [564]P14(x5641,x5642,a18)+~E(f7(x5641,x5642,a18),f3(a18))
% 1.36/1.49 [571]~P12(x5711,x5712,a18)+P12(x5711,f14(x5712),a18)
% 1.36/1.49 [572]~P14(x5721,x5722,a18)+P12(x5721,f14(x5722),a18)
% 1.36/1.49 [574]~P14(x5741,x5742,a18)+P14(x5741,f14(x5742),a18)
% 1.36/1.49 [576]~P12(x5761,x5762,a18)+P14(f14(x5761),x5762,a18)
% 1.36/1.49 [577]~P55(x5771)+~P12(f16(x5772,x5771),f3(x5771),x5771)
% 1.36/1.49 [578]~P28(x5781)+~P12(f9(x5782,x5781),f3(x5781),x5781)
% 1.36/1.49 [580]P14(x5801,x5802,a18)+~P12(x5801,f14(x5802),a18)
% 1.36/1.49 [581]P12(x5811,x5812,a18)+~P12(f14(x5811),x5812,a18)
% 1.36/1.49 [583]P12(x5831,x5832,a18)+~P14(f14(x5831),x5832,a18)
% 1.36/1.49 [584]P14(x5841,x5842,a18)+~P14(f14(x5841),x5842,a18)
% 1.36/1.49 [595]~P12(x5951,x5952,a18)+P12(f14(x5951),f14(x5952),a18)
% 1.36/1.49 [596]~P14(x5961,x5962,a18)+P14(f14(x5961),f14(x5962),a18)
% 1.36/1.49 [609]P12(x6091,x6092,a18)+~P12(f14(x6091),f14(x6092),a18)
% 1.36/1.49 [610]P14(x6101,x6102,a18)+~P14(f14(x6101),f14(x6102),a18)
% 1.36/1.49 [617]P14(f6(x6172,x6171,a18),x6171,a18)+E(x6171,f3(a18))
% 1.36/1.49 [618]P14(f6(x6181,x6182,a18),x6181,a18)+E(x6181,f3(a18))
% 1.36/1.49 [623]E(x6231,f3(a18))+P12(f3(a18),f6(x6232,x6231,a18),a18)
% 1.36/1.49 [624]E(x6241,f3(a18))+P12(f3(a18),f6(x6241,x6242,a18),a18)
% 1.36/1.49 [649]~P56(x6491)+P14(f3(x6491),f13(x6492,x6492,x6491),x6491)
% 1.36/1.49 [653]~P12(x6531,x6532,a18)+~P12(x6532,f14(x6531),a18)
% 1.36/1.49 [654]~P14(x6541,x6542,a18)+~P14(f14(x6542),x6541,a18)
% 1.36/1.49 [680]~P14(x6801,x6802,a18)+P14(f4(x6801,a18),f4(x6802,a18),a18)
% 1.36/1.49 [696]P11(x6961,a18)+~P11(f15(x6961,x6962,a18),a18)
% 1.36/1.49 [709]~P12(x7091,x7092,a18)+P11(f7(x7091,x7092,a18),a18)
% 1.36/1.49 [776]P12(f3(a18),x7761,a18)+~P11(f15(x7762,x7761,a18),a18)
% 1.36/1.49 [782]~P13(x7821,x7822,a18)+P13(x7821,f11(x7822,x7821,a18),a18)
% 1.36/1.49 [796]~P12(x7962,x7961,a18)+P12(f3(a18),f7(x7961,x7962,a18),a18)
% 1.36/1.49 [800]P12(f5(x8001,x8002,a18),x8002,a18)+~P12(f3(a18),x8002,a18)
% 1.36/1.49 [801]P14(f5(x8011,x8012,a18),x8012,a18)+~P12(f3(a18),x8012,a18)
% 1.36/1.49 [803]~P12(f3(a18),x8031,a18)+P12(f3(a18),f15(x8031,x8032,a18),a18)
% 1.36/1.49 [830]~P56(x8301)+~P12(f13(x8302,x8302,x8301),f3(x8301),x8301)
% 1.36/1.49 [888]P13(x8881,x8882,a18)+~P13(x8881,f11(x8882,x8881,a18),a18)
% 1.36/1.49 [895]P12(x8951,x8952,a18)+~P12(f3(a18),f7(x8952,x8951,a18),a18)
% 1.36/1.49 [898]P12(f3(a18),x8981,a18)+~P12(f3(a18),f13(x8982,x8981,a18),a18)
% 1.36/1.49 [899]P12(f3(a18),x8991,a18)+~P12(f3(a18),f13(x8991,x8992,a18),a18)
% 1.36/1.49 [393]~P28(x3932)+E(f9(f9(x3931,x3932),x3932),f9(x3931,x3932))
% 1.36/1.49 [394]~P1(x3942)+E(f9(f16(x3941,x3942),x3942),f16(x3941,x3942))
% 1.36/1.49 [406]~P3(x4062)+E(f13(x4061,f12(x4062),x4062),x4061)
% 1.36/1.49 [407]~P26(x4072)+E(f13(x4071,f12(x4072),x4072),x4071)
% 1.36/1.49 [408]~P3(x4082)+E(f11(x4081,f3(x4082),x4082),x4081)
% 1.36/1.49 [409]~P24(x4092)+E(f11(x4091,f3(x4092),x4092),x4091)
% 1.36/1.49 [410]~P27(x4102)+E(f11(x4101,f3(x4102),x4102),x4101)
% 1.36/1.49 [411]~P9(x4112)+E(f5(x4111,f3(x4112),x4112),x4111)
% 1.36/1.49 [412]~P25(x4122)+E(f7(x4121,f3(x4122),x4122),x4121)
% 1.36/1.49 [413]~P47(x4132)+E(f8(x4131,f12(x4132),x4132),x4131)
% 1.36/1.49 [415]~P3(x4151)+E(f13(f12(x4151),x4152,x4151),x4152)
% 1.36/1.49 [416]~P26(x4161)+E(f13(f12(x4161),x4162,x4161),x4162)
% 1.36/1.49 [417]~P23(x4171)+E(f13(f12(x4171),x4172,x4171),x4172)
% 1.36/1.49 [419]~P3(x4191)+E(f11(f3(x4191),x4192,x4191),x4192)
% 1.36/1.49 [420]~P24(x4201)+E(f11(f3(x4201),x4202,x4201),x4202)
% 1.36/1.49 [421]~P27(x4211)+E(f11(f3(x4211),x4212,x4211),x4212)
% 1.36/1.49 [422]~P3(x4222)+E(f15(x4221,f3(a18),x4222),f12(x4222))
% 1.36/1.49 [423]~P38(x4232)+E(f15(x4231,f3(a18),x4232),f12(x4232))
% 1.36/1.49 [427]~P7(x4272)+~E(f16(f4(x4271,a18),x4272),f3(x4272))
% 1.36/1.49 [428]~P3(x4282)+E(f13(x4281,f3(x4282),x4282),f3(x4282))
% 1.36/1.49 [430]~P39(x4302)+E(f13(x4301,f3(x4302),x4302),f3(x4302))
% 1.36/1.49 [431]~P66(x4312)+E(f13(x4311,f3(x4312),x4312),f3(x4312))
% 1.36/1.49 [432]~P50(x4322)+E(f13(x4321,f3(x4322),x4322),f3(x4322))
% 1.36/1.49 [433]~P9(x4332)+E(f5(x4331,f12(x4332),x4332),f3(x4332))
% 1.36/1.49 [435]~P3(x4351)+E(f13(f3(x4351),x4352,x4351),f3(x4351))
% 1.36/1.49 [437]~P39(x4371)+E(f13(f3(x4371),x4372,x4371),f3(x4371))
% 1.36/1.49 [438]~P66(x4381)+E(f13(f3(x4381),x4382,x4381),f3(x4381))
% 1.36/1.49 [439]~P50(x4391)+E(f13(f3(x4391),x4392,x4391),f3(x4391))
% 1.36/1.49 [440]~P26(x4401)+E(f15(f12(x4401),x4402,x4401),f12(x4401))
% 1.36/1.49 [441]~P9(x4411)+E(f5(f3(x4411),x4412,x4411),f3(x4411))
% 1.36/1.49 [442]~P47(x4421)+E(f8(f3(x4421),x4422,x4421),f3(x4421))
% 1.36/1.49 [443]~P41(x4431)+E(f8(f3(x4431),x4432,x4431),f3(x4431))
% 1.36/1.49 [453]~P47(x4531)+E(f8(f12(x4531),x4532,x4531),f10(x4532,x4531))
% 1.36/1.49 [490]E(x4901,f14(f3(a18)))+~E(f13(x4902,x4901,a18),f14(f3(a18)))
% 1.36/1.49 [491]E(x4911,f14(f3(a18)))+~E(f13(x4911,x4912,a18),f14(f3(a18)))
% 1.36/1.49 [522]~P64(x5221)+E(f11(f12(x5221),f16(x5222,x5221),x5221),f16(f14(x5222),x5221))
% 1.36/1.49 [562]~P55(x5621)+P12(f3(x5621),f16(f4(x5622,a18),x5621),x5621)
% 1.36/1.49 [625]~P1(x6252)+E(f13(f9(x6251,x6252),f9(x6251,x6252),x6252),f13(x6251,x6251,x6252))
% 1.36/1.49 [670]~P55(x6702)+P12(x6701,f11(x6701,f12(x6702),x6702),x6702)
% 1.36/1.49 [671]~P1(x6711)+P12(f3(x6711),f15(x6712,f3(a18),x6711),x6711)
% 1.36/1.49 [718]P12(x7182,x7181,a18)+E(f11(x7181,f7(x7182,x7181,a18),a18),x7182)
% 1.36/1.49 [760]~E(f17(x7602,a18),f3(a18))+P12(f3(a18),f15(x7601,f17(x7602,a18),a18),a18)
% 1.36/1.49 [763]~E(f14(f5(x7631,x7632,a18)),x7632)+E(f5(f14(x7631),x7632,a18),f3(a18))
% 1.36/1.49 [793]~P14(x7931,x7932,a18)+E(f11(x7931,f7(x7932,x7931,a18),a18),x7932)
% 1.36/1.49 [794]~P14(x7942,x7941,a18)+E(f7(x7941,f7(x7941,x7942,a18),a18),x7942)
% 1.36/1.49 [795]~P14(x7952,x7951,a18)+E(f11(f7(x7951,x7952,a18),x7952,a18),x7951)
% 1.36/1.49 [807]~P14(x8072,x8071,a18)+E(f14(f7(x8071,x8072,a18)),f7(f14(x8071),x8072,a18))
% 1.36/1.49 [815]~P12(f3(a18),x8151,a18)+P12(f7(x8151,f14(x8152),a18),x8151,a18)
% 1.36/1.49 [818]P12(x8181,x8182,a18)+E(f5(f7(x8181,x8182,a18),x8182,a18),f5(x8181,x8182,a18))
% 1.36/1.49 [832]~P14(f14(f3(a18)),x8321,a18)+P14(f14(f3(a18)),f15(x8321,x8322,a18),a18)
% 1.36/1.49 [837]E(f14(f5(x8371,x8372,a18)),x8372)+E(f14(f5(x8371,x8372,a18)),f5(f14(x8371),x8372,a18))
% 1.36/1.49 [848]~P1(x8481)+~P14(f15(x8482,f3(a18),x8481),f3(x8481),x8481)
% 1.36/1.49 [864]~P14(x8642,x8641,a18)+E(f5(f7(x8641,x8642,a18),x8642,a18),f5(x8641,x8642,a18))
% 1.36/1.49 [865]~P14(x8652,x8651,a18)+E(f6(f7(x8651,x8652,a18),x8652,a18),f6(x8651,x8652,a18))
% 1.36/1.49 [866]~P14(x8662,x8661,a18)+E(f6(f7(x8661,x8662,a18),x8661,a18),f6(x8662,x8661,a18))
% 1.36/1.49 [947]P14(f14(f3(a18)),x9471,a18)+~P14(f14(f3(a18)),f13(x9472,x9471,a18),a18)
% 1.36/1.49 [948]P14(f14(f3(a18)),x9481,a18)+~P14(f14(f3(a18)),f13(x9481,x9482,a18),a18)
% 1.36/1.49 [774]~P54(x7741)+P12(f3(x7741),f10(f16(f4(x7742,a18),x7741),x7741),x7741)
% 1.36/1.49 [775]~P54(x7751)+P14(f3(x7751),f10(f16(f4(x7752,a18),x7751),x7751),x7751)
% 1.36/1.49 [802]~P3(x8022)+E(f11(x8021,x8021,x8022),f13(f11(f12(x8022),f12(x8022),x8022),x8021,x8022))
% 1.36/1.49 [1355]~P12(x13552,f14(x13551),a18)+E(f13(f7(f14(x13551),x13552,a18),f4(f7(x13551,x13552,a18),a18),a18),f4(f7(f14(x13551),x13552,a18),a18))
% 1.36/1.49 [525]~P3(x5253)+E(f13(x5251,x5252,x5253),f13(x5252,x5251,x5253))
% 1.36/1.49 [527]~P3(x5273)+E(f11(x5271,x5272,x5273),f11(x5272,x5271,x5273))
% 1.36/1.49 [528]~P24(x5283)+E(f11(x5281,x5282,x5283),f11(x5282,x5281,x5283))
% 1.36/1.49 [627]E(x6271,x6272)+~E(f11(x6273,x6271,a18),f11(x6273,x6272,a18))
% 1.36/1.49 [628]E(x6281,x6282)+~E(f11(x6281,x6283,a18),f11(x6282,x6283,a18))
% 1.36/1.49 [629]~P3(x6293)+P13(x6291,f13(x6292,x6291,x6293),x6293)
% 1.36/1.49 [630]~P3(x6303)+P13(x6301,f13(x6301,x6302,x6303),x6303)
% 1.36/1.49 [631]~P44(x6313)+P13(x6311,f13(x6311,x6312,x6313),x6313)
% 1.36/1.49 [779]~P12(x7791,x7793,a18)+P12(x7791,f11(x7792,x7793,a18),a18)
% 1.36/1.49 [781]~P12(x7811,x7812,a18)+P12(x7811,f11(x7812,x7813,a18),a18)
% 1.36/1.49 [784]~P14(x7841,x7843,a18)+P14(x7841,f11(x7842,x7843,a18),a18)
% 1.36/1.49 [786]~P14(x7861,x7862,a18)+P14(x7861,f11(x7862,x7863,a18),a18)
% 1.36/1.49 [787]~P12(x7871,x7873,a18)+P12(f7(x7871,x7872,a18),x7873,a18)
% 1.36/1.49 [788]~P13(x7882,x7883,a18)+P13(f6(x7881,x7882,a18),x7883,a18)
% 1.36/1.49 [789]~P13(x7891,x7893,a18)+P13(f6(x7891,x7892,a18),x7893,a18)
% 1.36/1.49 [884]P13(x8841,x8842,a18)+~P13(x8841,f6(x8843,x8842,a18),a18)
% 1.36/1.49 [887]P13(x8871,x8872,a18)+~P13(x8871,f6(x8872,x8873,a18),a18)
% 1.36/1.49 [889]P12(x8891,x8892,a18)+~P12(f11(x8891,x8893,a18),x8892,a18)
% 1.36/1.49 [890]P14(x8901,x8902,a18)+~P14(f11(x8903,x8901,a18),x8902,a18)
% 1.36/1.49 [891]P14(x8911,x8912,a18)+~P14(f11(x8911,x8913,a18),x8912,a18)
% 1.36/1.49 [908]P14(f13(x9082,x9081,a18),f13(x9083,x9081,a18),a18)+P12(f3(a18),x9081,a18)
% 1.36/1.49 [909]P14(f13(x9091,x9092,a18),f13(x9091,x9093,a18),a18)+P12(f3(a18),x9091,a18)
% 1.36/1.49 [969]~P12(x9691,x9693,a18)+P12(f11(x9691,x9692,a18),f11(x9693,x9692,a18),a18)
% 1.36/1.49 [970]~P12(x9702,x9703,a18)+P12(f11(x9701,x9702,a18),f11(x9701,x9703,a18),a18)
% 1.36/1.49 [971]~P13(x9712,x9713,a18)+P13(f13(x9711,x9712,a18),f13(x9711,x9713,a18),a18)
% 1.36/1.49 [973]~P14(x9731,x9733,a18)+P14(f13(x9731,x9732,a18),f13(x9733,x9732,a18),a18)
% 1.36/1.49 [975]~P14(x9752,x9753,a18)+P14(f13(x9751,x9752,a18),f13(x9751,x9753,a18),a18)
% 1.36/1.49 [976]~P14(x9761,x9763,a18)+P14(f11(x9761,x9762,a18),f11(x9763,x9762,a18),a18)
% 1.36/1.49 [977]~P14(x9772,x9773,a18)+P14(f11(x9771,x9772,a18),f11(x9771,x9773,a18),a18)
% 1.36/1.49 [978]~P14(x9781,x9783,a18)+P14(f7(x9781,x9782,a18),f7(x9783,x9782,a18),a18)
% 1.36/1.49 [979]~P14(x9793,x9792,a18)+P14(f7(x9791,x9792,a18),f7(x9791,x9793,a18),a18)
% 1.36/1.49 [1111]~P12(f11(x11111,x11113,a18),x11112,a18)+P12(x11111,f7(x11112,x11113,a18),a18)
% 1.36/1.49 [1112]~P14(f7(x11121,x11123,a18),x11122,a18)+P14(x11121,f11(x11122,x11123,a18),a18)
% 1.36/1.49 [1113]~P12(x11131,f7(x11133,x11132,a18),a18)+P12(f11(x11131,x11132,a18),x11133,a18)
% 1.36/1.49 [1114]~P14(x11141,f11(x11143,x11142,a18),a18)+P14(f7(x11141,x11142,a18),x11143,a18)
% 1.36/1.49 [1208]P12(x12081,x12082,a18)+~P12(f13(x12083,x12081,a18),f13(x12083,x12082,a18),a18)
% 1.36/1.49 [1209]P12(x12091,x12092,a18)+~P12(f13(x12091,x12093,a18),f13(x12092,x12093,a18),a18)
% 1.36/1.49 [1210]P12(x12101,x12102,a18)+~P12(f11(x12103,x12101,a18),f11(x12103,x12102,a18),a18)
% 1.36/1.49 [1211]P14(x12111,x12112,a18)+~P14(f11(x12113,x12111,a18),f11(x12113,x12112,a18),a18)
% 1.36/1.49 [1215]~P12(f13(x12152,x12151,a18),f13(x12153,x12151,a18),a18)+P12(f3(a18),x12151,a18)
% 1.36/1.49 [1216]~P12(f13(x12161,x12162,a18),f13(x12161,x12163,a18),a18)+P12(f3(a18),x12161,a18)
% 1.36/1.49 [566]~P47(x5663)+E(f13(x5661,f10(x5662,x5663),x5663),f8(x5661,x5662,x5663))
% 1.36/1.49 [632]~P25(x6323)+E(f11(f7(x6321,x6322,x6323),x6322,x6323),x6321)
% 1.36/1.49 [633]~P25(x6333)+E(f7(f11(x6331,x6332,x6333),x6332,x6333),x6331)
% 1.36/1.49 [642]~P9(x6423)+E(f5(f13(x6421,x6422,x6423),x6422,x6423),f3(x6423))
% 1.36/1.49 [643]~P9(x6433)+E(f5(f13(x6431,x6432,x6433),x6431,x6433),f3(x6433))
% 1.36/1.49 [683]E(x6831,x6832)+~E(f13(f14(x6833),x6831,a18),f13(f14(x6833),x6832,a18))
% 1.36/1.49 [713]~P64(x7132)+E(f15(f16(x7131,x7132),x7133,x7132),f16(f15(x7131,x7133,a18),x7132))
% 1.36/1.49 [714]~P1(x7142)+E(f15(f9(x7141,x7142),x7143,x7142),f9(f15(x7141,x7143,x7142),x7142))
% 1.36/1.49 [742]~P20(x7423)+E(f13(x7421,f13(x7421,x7422,x7423),x7423),f13(x7421,x7422,x7423))
% 1.36/1.49 [743]~P9(x7433)+E(f5(f11(x7431,x7432,x7433),x7432,x7433),f5(x7431,x7432,x7433))
% 1.36/1.49 [744]~P9(x7443)+E(f5(f11(x7441,x7442,x7443),x7441,x7443),f5(x7442,x7441,x7443))
% 1.36/1.49 [745]~P9(x7453)+E(f5(f5(x7451,x7452,x7453),x7452,x7453),f5(x7451,x7452,x7453))
% 1.36/1.49 [748]~P1(x7481)+P14(f3(x7481),f15(f9(x7482,x7481),x7483,x7481),x7481)
% 1.36/1.49 [756]~P38(x7563)+E(f13(x7561,f15(x7561,x7562,x7563),x7563),f15(x7561,f14(x7562),x7563))
% 1.36/1.49 [757]~P26(x7573)+E(f13(f15(x7571,x7572,x7573),x7571,x7573),f15(x7571,f14(x7572),x7573))
% 1.36/1.49 [758]~P3(x7583)+E(f13(x7581,f15(x7581,x7582,x7583),x7583),f15(x7581,f14(x7582),x7583))
% 1.36/1.49 [759]~P3(x7593)+E(f13(f15(x7591,x7592,x7593),x7591,x7593),f15(x7591,f14(x7592),x7593))
% 1.36/1.49 [761]~P64(x7612)+E(f13(f16(x7611,x7612),f16(x7613,x7612),x7612),f16(f13(x7611,x7613,a18),x7612))
% 1.36/1.49 [762]~P64(x7622)+E(f11(f16(x7621,x7622),f16(x7623,x7622),x7622),f16(f11(x7621,x7623,a18),x7622))
% 1.36/1.49 [764]~P1(x7642)+E(f13(f9(x7641,x7642),f9(x7643,x7642),x7642),f9(f13(x7641,x7643,x7642),x7642))
% 1.36/1.49 [806]~P28(x8063)+E(f9(f7(x8061,x8062,x8063),x8063),f9(f7(x8062,x8061,x8063),x8063))
% 1.36/1.49 [880]~P2(x8802)+P13(f13(x8801,f3(x8802),x8802),f13(x8803,f3(x8802),x8802),x8802)
% 1.36/1.49 [881]~P2(x8811)+P13(f13(f3(x8811),x8812,x8811),f13(f3(x8811),x8813,x8811),x8811)
% 1.36/1.49 [941]~P26(x9413)+E(f13(f15(x9411,x9412,x9413),x9411,x9413),f13(x9411,f15(x9411,x9412,x9413),x9413))
% 1.36/1.49 [1055]~P12(x10552,x10553,a18)+P12(f13(f14(x10551),x10552,a18),f13(f14(x10551),x10553,a18),a18)
% 1.36/1.49 [1086]~P14(x10862,x10863,a18)+E(f7(f11(x10861,x10862,a18),x10863,a18),f7(x10861,f7(x10863,x10862,a18),a18))
% 1.36/1.49 [1087]~P14(x10873,x10872,a18)+E(f7(f11(x10871,x10872,a18),x10873,a18),f11(x10871,f7(x10872,x10873,a18),a18))
% 1.36/1.49 [1089]~P14(x10893,x10891,a18)+E(f7(f11(x10891,x10892,a18),x10893,a18),f11(f7(x10891,x10893,a18),x10892,a18))
% 1.36/1.49 [1174]~P14(x11743,x11742,a18)+P14(x11741,f7(f11(x11742,x11741,a18),x11743,a18),a18)
% 1.36/1.49 [1239]P14(x12391,x12392,a18)+~P14(f13(f14(x12393),x12391,a18),f13(f14(x12393),x12392,a18),a18)
% 1.36/1.49 [1246]~P48(x12463)+P14(f9(f13(x12461,x12462,x12463),x12463),f13(f9(x12461,x12463),f9(x12462,x12463),x12463),x12463)
% 1.36/1.49 [1247]~P28(x12473)+P14(f9(f11(x12471,x12472,x12473),x12473),f11(f9(x12471,x12473),f9(x12472,x12473),x12473),x12473)
% 1.36/1.49 [1248]~P28(x12483)+P14(f9(f7(x12481,x12482,x12483),x12483),f11(f9(x12481,x12483),f9(x12482,x12483),x12483),x12483)
% 1.36/1.49 [1249]~P28(x12492)+P14(f7(f9(x12491,x12492),f9(x12493,x12492),x12492),f9(f7(x12491,x12493,x12492),x12492),x12492)
% 1.36/1.49 [1351]~P56(x13511)+P14(f3(x13511),f11(f13(x13512,x13512,x13511),f13(x13513,x13513,x13511),x13511),x13511)
% 1.36/1.49 [1454]~P56(x14541)+~P12(f11(f13(x14542,x14542,x14541),f13(x14543,x14543,x14541),x14541),f3(x14541),x14541)
% 1.36/1.49 [960]~P28(x9602)+E(f9(f11(f9(x9601,x9602),f9(x9603,x9602),x9602),x9602),f11(f9(x9601,x9602),f9(x9603,x9602),x9602))
% 1.36/1.49 [965]~P3(x9653)+E(f11(x9651,f13(x9652,x9651,x9653),x9653),f13(f11(x9652,f12(x9653),x9653),x9651,x9653))
% 1.36/1.49 [966]~P3(x9663)+E(f11(f13(x9661,x9662,x9663),x9662,x9663),f13(f11(x9661,f12(x9663),x9663),x9662,x9663))
% 1.36/1.49 [1252]~P14(x12522,x12523,a18)+E(f7(f11(x12521,x12522,a18),f14(x12523),a18),f7(x12521,f14(f7(x12523,x12522,a18)),a18))
% 1.36/1.49 [1253]~P14(x12532,x12531,a18)+E(f7(f14(f7(x12531,x12532,a18)),x12533,a18),f7(f14(x12531),f11(x12532,x12533,a18),a18))
% 1.36/1.49 [1416]~P28(x14162)+P14(f9(f7(f9(x14161,x14162),f9(x14163,x14162),x14162),x14162),f9(f7(x14161,x14163,x14162),x14162),x14162)
% 1.36/1.49 [927]~P3(x9273)+E(f15(f15(x9271,x9272,x9273),x9274,x9273),f15(x9271,f13(x9272,x9274,a18),x9273))
% 1.36/1.49 [928]~P26(x9283)+E(f15(f15(x9281,x9282,x9283),x9284,x9283),f15(x9281,f13(x9282,x9284,a18),x9283))
% 1.36/1.49 [931]~P3(x9314)+E(f13(x9311,f13(x9312,x9313,x9314),x9314),f13(x9312,f13(x9311,x9313,x9314),x9314))
% 1.36/1.49 [932]~P3(x9324)+E(f11(x9321,f11(x9322,x9323,x9324),x9324),f11(x9322,f11(x9321,x9323,x9324),x9324))
% 1.36/1.49 [933]~P24(x9334)+E(f11(x9331,f11(x9332,x9333,x9334),x9334),f11(x9332,f11(x9331,x9333,x9334),x9334))
% 1.36/1.49 [934]~P18(x9344)+E(f11(x9341,f11(x9342,x9343,x9344),x9344),f11(x9342,f11(x9341,x9343,x9344),x9344))
% 1.36/1.49 [939]~P3(x9393)+E(f13(f13(x9391,x9392,x9393),x9394,x9393),f13(x9391,f13(x9392,x9394,x9393),x9393))
% 1.36/1.49 [940]~P17(x9403)+E(f13(f13(x9401,x9402,x9403),x9404,x9403),f13(x9401,f13(x9402,x9404,x9403),x9403))
% 1.36/1.49 [942]~P3(x9423)+E(f11(f11(x9421,x9422,x9423),x9424,x9423),f11(x9421,f11(x9422,x9424,x9423),x9423))
% 1.36/1.49 [943]~P24(x9433)+E(f11(f11(x9431,x9432,x9433),x9434,x9433),f11(x9431,f11(x9432,x9434,x9433),x9433))
% 1.36/1.49 [944]~P19(x9443)+E(f11(f11(x9441,x9442,x9443),x9444,x9443),f11(x9441,f11(x9442,x9444,x9443),x9443))
% 1.36/1.49 [945]~P3(x9453)+E(f13(f13(x9451,x9452,x9453),x9454,x9453),f13(f13(x9451,x9454,x9453),x9452,x9453))
% 1.36/1.49 [946]~P3(x9463)+E(f11(f11(x9461,x9462,x9463),x9464,x9463),f11(f11(x9461,x9464,x9463),x9462,x9463))
% 1.36/1.49 [1136]~P26(x11363)+E(f13(f15(x11361,x11362,x11363),f15(x11361,x11364,x11363),x11363),f15(x11361,f11(x11362,x11364,a18),x11363))
% 1.36/1.49 [1137]~P3(x11373)+E(f13(f15(x11371,x11372,x11373),f15(x11371,x11374,x11373),x11373),f15(x11371,f11(x11372,x11374,a18),x11373))
% 1.36/1.49 [1141]~P3(x11413)+E(f11(f13(x11411,x11412,x11413),f13(x11411,x11414,x11413),x11413),f13(x11411,f11(x11412,x11414,x11413),x11413))
% 1.46/1.49 [1143]~P39(x11433)+E(f11(f13(x11431,x11432,x11433),f13(x11431,x11434,x11433),x11433),f13(x11431,f11(x11432,x11434,x11433),x11433))
% 1.46/1.49 [1145]~P39(x11453)+E(f7(f13(x11451,x11452,x11453),f13(x11451,x11454,x11453),x11453),f13(x11451,f7(x11452,x11454,x11453),x11453))
% 1.46/1.49 [1148]~P39(x11483)+E(f11(f13(x11481,x11482,x11483),f13(x11484,x11482,x11483),x11483),f13(f11(x11481,x11484,x11483),x11482,x11483))
% 1.46/1.49 [1149]~P42(x11493)+E(f11(f13(x11491,x11492,x11493),f13(x11494,x11492,x11493),x11493),f13(f11(x11491,x11494,x11493),x11492,x11493))
% 1.46/1.49 [1151]~P39(x11513)+E(f7(f13(x11511,x11512,x11513),f13(x11514,x11512,x11513),x11513),f13(f7(x11511,x11514,x11513),x11512,x11513))
% 1.46/1.49 [1152]~P3(x11523)+E(f13(f15(x11521,x11522,x11523),f15(x11524,x11522,x11523),x11523),f15(f13(x11521,x11524,x11523),x11522,x11523))
% 1.46/1.49 [1153]~P23(x11533)+E(f13(f15(x11531,x11532,x11533),f15(x11534,x11532,x11533),x11533),f15(f13(x11531,x11534,x11533),x11532,x11533))
% 1.46/1.49 [1154]~P47(x11543)+E(f11(f8(x11541,x11542,x11543),f8(x11544,x11542,x11543),x11543),f8(f11(x11541,x11544,x11543),x11542,x11543))
% 1.46/1.49 [1155]~P41(x11553)+E(f11(f8(x11551,x11552,x11553),f8(x11554,x11552,x11553),x11553),f8(f11(x11551,x11554,x11553),x11552,x11553))
% 1.46/1.49 [1156]~P47(x11563)+E(f7(f8(x11561,x11562,x11563),f8(x11564,x11562,x11563),x11563),f8(f7(x11561,x11564,x11563),x11562,x11563))
% 1.46/1.49 [1157]~P41(x11573)+E(f7(f8(x11571,x11572,x11573),f8(x11574,x11572,x11573),x11573),f8(f7(x11571,x11574,x11573),x11572,x11573))
% 1.46/1.49 [1158]~P9(x11583)+E(f5(f13(x11581,x11582,x11583),f13(x11581,x11584,x11583),x11583),f13(x11581,f5(x11582,x11584,x11583),x11583))
% 1.46/1.49 [1159]~P3(x11593)+E(f11(f13(x11591,x11592,x11593),f13(x11594,x11592,x11593),x11593),f13(f11(x11591,x11594,x11593),x11592,x11593))
% 1.46/1.49 [1160]~P9(x11603)+E(f5(f13(x11601,x11602,x11603),f13(x11604,x11602,x11603),x11603),f13(f5(x11601,x11604,x11603),x11602,x11603))
% 1.46/1.49 [1139]~P9(x11394)+E(f5(f11(x11391,f13(x11392,x11393,x11394),x11394),x11393,x11394),f5(x11391,x11393,x11394))
% 1.46/1.49 [1140]~P9(x11404)+E(f5(f11(x11401,f13(x11402,x11403,x11404),x11404),x11402,x11404),f5(x11401,x11402,x11404))
% 1.46/1.49 [1274]~P9(x12744)+E(f5(f13(x12741,f5(x12742,x12743,x12744),x12744),x12743,x12744),f5(f13(x12741,x12742,x12744),x12743,x12744))
% 1.46/1.49 [1276]~P10(x12764)+E(f5(f7(x12761,f5(x12762,x12763,x12764),x12764),x12763,x12764),f5(f7(x12761,x12762,x12764),x12763,x12764))
% 1.46/1.49 [1279]~P10(x12793)+E(f5(f7(f5(x12791,x12792,x12793),x12794,x12793),x12792,x12793),f5(f7(x12791,x12794,x12793),x12792,x12793))
% 1.46/1.49 [1280]~P9(x12804)+E(f5(f11(x12801,f5(x12802,x12803,x12804),x12804),x12803,x12804),f5(f11(x12801,x12802,x12804),x12803,x12804))
% 1.46/1.49 [1281]~P9(x12813)+E(f5(f13(f5(x12811,x12812,x12813),x12814,x12813),x12812,x12813),f5(f13(x12811,x12814,x12813),x12812,x12813))
% 1.46/1.49 [1282]~P9(x12823)+E(f5(f11(f5(x12821,x12822,x12823),x12824,x12823),x12822,x12823),f5(f11(x12821,x12824,x12823),x12822,x12823))
% 1.46/1.49 [1425]~P9(x14253)+E(f5(f13(f5(x14251,x14252,x14253),f5(x14254,x14252,x14253),x14253),x14252,x14253),f5(f13(x14251,x14254,x14253),x14252,x14253))
% 1.46/1.49 [1426]~P9(x14263)+E(f5(f11(f5(x14261,x14262,x14263),f5(x14264,x14262,x14263),x14263),x14262,x14263),f5(f11(x14261,x14264,x14263),x14262,x14263))
% 1.46/1.49 [1427]~P10(x14273)+E(f5(f7(f5(x14271,x14272,x14273),f5(x14274,x14272,x14273),x14273),x14272,x14273),f5(f7(x14271,x14274,x14273),x14272,x14273))
% 1.46/1.49 [1480]~P14(x14801,x14803,a18)+E(f11(f13(x14801,x14802,a18),f11(f13(f7(x14803,x14801,a18),x14802,a18),x14804,a18),a18),f11(f13(x14803,x14802,a18),x14804,a18))
% 1.46/1.49 [1283]~P3(x12833)+E(f13(f13(x12831,x12832,x12833),f13(x12834,x12835,x12833),x12833),f13(f13(x12831,x12834,x12833),f13(x12832,x12835,x12833),x12833))
% 1.46/1.49 [1284]~P3(x12843)+E(f11(f11(x12841,x12842,x12843),f11(x12844,x12845,x12843),x12843),f11(f11(x12841,x12844,x12843),f11(x12842,x12845,x12843),x12843))
% 1.46/1.49 [1285]~P18(x12853)+E(f7(f11(x12851,x12852,x12853),f11(x12854,x12855,x12853),x12853),f11(f7(x12851,x12854,x12853),f7(x12852,x12855,x12853),x12853))
% 1.46/1.49 [1350]E(f5(x13501,x13502,a18),f5(x13503,x13502,a18))+~E(f11(x13501,f13(x13502,x13504,a18),a18),f11(x13503,f13(x13502,x13505,a18),a18))
% 1.46/1.49 [1449]~P65(x14493)+E(f11(f13(x14491,x14492,x14493),f11(f13(x14494,x14492,x14493),x14495,x14493),x14493),f11(f13(f11(x14491,x14494,x14493),x14492,x14493),x14495,x14493))
% 1.46/1.49 [1502]~P28(x15023)+P14(f9(f7(f11(x15021,x15022,x15023),f11(x15024,x15025,x15023),x15023),x15023),f11(f9(f7(x15021,x15024,x15023),x15023),f9(f7(x15022,x15025,x15023),x15023),x15023),x15023)
% 1.46/1.49 [1503]~P39(x15033)+E(f11(f11(f13(f7(x15031,x15032,x15033),f7(x15034,x15035,x15033),x15033),f13(f7(x15031,x15032,x15033),x15035,x15033),x15033),f13(x15032,f7(x15034,x15035,x15033),x15033),x15033),f7(f13(x15031,x15034,x15033),f13(x15032,x15035,x15033),x15033))
% 1.46/1.49 [1477]~P59(x14773)+E(f11(f13(x14771,x14772,x14773),f11(f13(f7(x14774,x14771,x14773),x14772,x14773),x14775,x14773),x14773),f11(f13(x14774,x14772,x14773),x14775,x14773))
% 1.46/1.49 [1483]~P14(x14831,x14834,a18)+E(f7(f11(f13(x14831,x14832,a18),x14833,a18),f11(f13(x14834,x14832,a18),x14835,a18),a18),f7(x14833,f11(f13(f7(x14834,x14831,a18),x14832,a18),x14835,a18),a18))
% 1.46/1.49 [1484]~P14(x14844,x14841,a18)+E(f7(f11(f13(x14841,x14842,a18),x14843,a18),f11(f13(x14844,x14842,a18),x14845,a18),a18),f7(f11(f13(f7(x14841,x14844,a18),x14842,a18),x14843,a18),x14845,a18))
% 1.46/1.49 [1501]~P40(x15014)+E(f11(f13(x15011,f8(f7(x15012,x15013,x15014),x15015,x15014),x15014),f13(f8(f7(x15011,x15016,x15014),x15015,x15014),x15013,x15014),x15014),f8(f7(f13(x15011,x15012,x15014),f13(x15016,x15013,x15014),x15014),x15015,x15014))
% 1.46/1.49 [381]~P46(x3811)+~P47(x3811)+E(f10(f12(x3811),x3811),f12(x3811))
% 1.46/1.49 [681]~P30(x6811)+~P14(f3(x6811),f3(x6811),x6811)+E(f11(f3(x6811),f3(x6811),x6811),f3(x6811))
% 1.46/1.49 [579]E(x5791,f3(a18))+E(x5791,f14(f3(a18)))+~P12(x5791,f14(f14(f3(a18))),a18)
% 1.46/1.49 [510]E(x5101,x5102)+P12(x5102,x5101,a18)+P12(x5101,x5102,a18)
% 1.46/1.49 [561]E(x5611,x5612)+P12(x5611,x5612,a18)+~P14(x5611,x5612,a18)
% 1.46/1.49 [640]E(x6401,x6402)+~P13(x6402,x6401,a18)+~P13(x6401,x6402,a18)
% 1.46/1.49 [641]E(x6411,x6412)+~P14(x6412,x6411,a18)+~P14(x6411,x6412,a18)
% 1.46/1.49 [382]~P28(x3822)+~E(f9(x3821,x3822),f3(x3822))+E(x3821,f3(x3822))
% 1.46/1.49 [383]~P45(x3832)+~E(f10(x3831,x3832),f3(x3832))+E(x3831,f3(x3832))
% 1.46/1.49 [426]~P47(x4262)+E(f8(x4261,x4261,x4262),f12(x4262))+E(x4261,f3(x4262))
% 1.46/1.49 [444]~P2(x4442)+~P15(x4442)+E(f7(x4441,x4441,x4442),f3(x4442))
% 1.46/1.49 [456]~P37(x4562)+P12(x4561,f3(x4562),x4562)+E(f9(x4561,x4562),x4561)
% 1.46/1.49 [480]E(x4801,f3(a18))+E(x4802,f3(a18))+~E(f13(x4802,x4801,a18),f3(a18))
% 1.46/1.49 [485]~P28(x4852)+P12(f3(x4852),f9(x4851,x4852),x4852)+E(x4851,f3(x4852))
% 1.46/1.49 [494]~P6(x4942)+~E(f11(x4941,x4941,x4942),f3(x4942))+E(x4941,f3(x4942))
% 1.46/1.49 [507]~P3(x5072)+~P13(f3(x5072),x5071,x5072)+E(x5071,f3(x5072))
% 1.46/1.49 [535]~P28(x5352)+~P12(f3(x5352),x5351,x5352)+E(f9(x5351,x5352),x5351)
% 1.46/1.49 [536]~P28(x5362)+~P14(f3(x5362),x5361,x5362)+E(f9(x5361,x5362),x5361)
% 1.46/1.49 [569]P11(x5691,a18)+P11(x5692,a18)+P11(f11(x5692,x5691,a18),a18)
% 1.46/1.49 [570]P11(x5701,a18)+P11(x5702,a18)+P11(f7(x5702,x5701,a18),a18)
% 1.46/1.49 [588]~P12(x5881,x5882,a18)+E(f14(x5881),x5882)+P12(f14(x5881),x5882,a18)
% 1.46/1.49 [589]E(x5891,x5892)+P12(x5892,x5891,a18)+~P12(x5892,f14(x5891),a18)
% 1.46/1.49 [591]E(x5911,x5912)+P12(x5911,x5912,a18)+~P12(x5911,f14(x5912),a18)
% 1.46/1.49 [592]~P28(x5922)+~P14(f9(x5921,x5922),f3(x5922),x5922)+E(x5921,f3(x5922))
% 1.46/1.49 [605]P14(x6051,x6052,a18)+E(x6051,f14(x6052))+~P14(x6051,f14(x6052),a18)
% 1.46/1.49 [615]~P11(x6152,a18)+~P11(x6151,a18)+P11(f11(x6151,x6152,a18),a18)
% 1.46/1.49 [616]~P11(x6162,a18)+~P11(x6161,a18)+P11(f7(x6161,x6162,a18),a18)
% 1.46/1.49 [652]E(x6521,x6522)+~E(f7(x6522,x6521,a18),f3(a18))+~E(f7(x6521,x6522,a18),f3(a18))
% 1.46/1.49 [655]E(x6551,x6552)+~P14(x6552,x6551,a18)+~P12(x6551,f14(x6552),a18)
% 1.46/1.49 [679]~P55(x6791)+P12(f3(x6791),f16(x6792,x6791),x6791)+~P12(f3(a18),x6792,a18)
% 1.46/1.49 [690]~P54(x6901)+~P12(f3(x6901),x6902,x6901)+P12(f3(x6901),f10(x6902,x6901),x6901)
% 1.46/1.49 [691]~P54(x6912)+~P12(x6911,f3(x6912),x6912)+P12(f10(x6911,x6912),f3(x6912),x6912)
% 1.46/1.49 [708]~P55(x7082)+~P12(f3(x7082),f16(x7081,x7082),x7082)+P12(f3(a18),x7081,a18)
% 1.46/1.49 [715]P11(x7151,a18)+P11(x7152,a18)+~P11(f13(x7151,x7152,a18),a18)
% 1.46/1.49 [736]P11(x7361,a18)+~P11(x7362,a18)+~P11(f11(x7362,x7361,a18),a18)
% 1.46/1.49 [738]P11(x7381,a18)+~P11(x7382,a18)+~P11(f11(x7381,x7382,a18),a18)
% 1.46/1.49 [746]~P11(x7461,a18)+~P12(f3(a18),x7462,a18)+P11(f15(x7461,x7462,a18),a18)
% 1.46/1.49 [747]~P13(x7471,x7472,a18)+P14(x7471,x7472,a18)+~P12(f3(a18),x7472,a18)
% 1.46/1.49 [753]~P13(x7531,x7532,a18)+~P12(f3(a18),x7532,a18)+P12(f3(a18),x7531,a18)
% 1.46/1.49 [812]~P13(x8122,x8121,a18)+~P12(x8121,x8122,a18)+~P12(f3(a18),x8121,a18)
% 1.46/1.49 [822]~P6(x8221)+~P12(f3(x8221),x8222,x8221)+P12(f3(x8221),f11(x8222,x8222,x8221),x8221)
% 1.46/1.49 [825]~P6(x8251)+~P14(f3(x8251),x8252,x8251)+P14(f3(x8251),f11(x8252,x8252,x8251),x8251)
% 1.46/1.49 [827]~P1(x8272)+~P12(x8271,f3(x8272),x8272)+P12(f11(x8271,x8271,x8272),f3(x8272),x8272)
% 1.46/1.49 [828]~P6(x8282)+~P12(x8281,f3(x8282),x8282)+P12(f11(x8281,x8281,x8282),f3(x8282),x8282)
% 1.46/1.49 [829]~P6(x8292)+~P14(x8291,f3(x8292),x8292)+P14(f11(x8291,x8291,x8292),f3(x8292),x8292)
% 1.46/1.49 [831]~P12(x8311,x8312,a18)+~P12(f3(a18),x8311,a18)+P12(f4(x8311,a18),f4(x8312,a18),a18)
% 1.46/1.49 [903]E(x9031,f3(a18))+P12(f3(a18),x9032,a18)+~P12(f3(a18),f15(x9032,x9031,a18),a18)
% 1.46/1.49 [950]~P1(x9502)+~P12(f11(x9501,x9501,x9502),f3(x9502),x9502)+P12(x9501,f3(x9502),x9502)
% 1.46/1.49 [951]~P6(x9512)+~P12(f11(x9511,x9511,x9512),f3(x9512),x9512)+P12(x9511,f3(x9512),x9512)
% 1.46/1.49 [952]~P6(x9522)+~P14(f11(x9521,x9521,x9522),f3(x9522),x9522)+P14(x9521,f3(x9522),x9522)
% 1.46/1.49 [953]~P6(x9531)+~P12(f3(x9531),f11(x9532,x9532,x9531),x9531)+P12(f3(x9531),x9532,x9531)
% 1.46/1.49 [954]~P6(x9541)+~P14(f3(x9541),f11(x9542,x9542,x9541),x9541)+P14(f3(x9541),x9542,x9541)
% 1.46/1.49 [955]P12(f7(x9551,x9552,a18),x9551,a18)+~P12(f3(a18),x9552,a18)+~P12(f3(a18),x9551,a18)
% 1.46/1.49 [959]~P12(f3(a18),x9592,a18)+~P12(f3(a18),x9591,a18)+P12(f3(a18),f13(x9591,x9592,a18),a18)
% 1.46/1.49 [1017]P12(f3(a18),x10171,a18)+P12(f3(a18),x10172,a18)+~P12(f3(a18),f11(x10171,x10172,a18),a18)
% 1.46/1.49 [387]~P45(x3872)+E(x3871,f3(x3872))+E(f10(f10(x3871,x3872),x3872),x3871)
% 1.46/1.49 [389]~P45(x3892)+~P46(x3892)+E(f10(f10(x3891,x3892),x3892),x3891)
% 1.46/1.49 [447]~P2(x4472)+~P15(x4472)+E(f11(x4471,f3(x4472),x4472),x4471)
% 1.46/1.49 [452]~P46(x4522)+~P47(x4522)+E(f8(x4521,f3(x4522),x4522),f3(x4522))
% 1.46/1.49 [457]~P69(x4571)+~P38(x4571)+E(f15(f3(x4571),f14(x4572),x4571),f3(x4571))
% 1.46/1.49 [472]~P54(x4722)+E(x4721,f3(x4722))+E(f10(f9(x4721,x4722),x4722),f9(f10(x4721,x4722),x4722))
% 1.46/1.49 [479]~P54(x4792)+~P46(x4792)+E(f10(f9(x4791,x4792),x4792),f9(f10(x4791,x4792),x4792))
% 1.46/1.49 [481]~P45(x4812)+E(x4811,f3(x4812))+E(f13(x4811,f10(x4811,x4812),x4812),f12(x4812))
% 1.46/1.49 [482]~P45(x4822)+E(x4821,f3(x4822))+E(f13(f10(x4821,x4822),x4821,x4822),f12(x4822))
% 1.46/1.49 [483]~P47(x4832)+E(x4831,f3(x4832))+E(f13(f10(x4831,x4832),x4831,x4832),f12(x4832))
% 1.46/1.49 [489]E(x4891,f3(a18))+E(x4892,f3(a18))+~E(f11(x4892,x4891,a18),f14(f3(a18)))
% 1.46/1.49 [502]E(x5021,f3(a18))+E(x5021,f14(f3(a18)))+~E(f11(x5022,x5021,a18),f14(f3(a18)))
% 1.46/1.49 [503]E(x5031,f3(a18))+E(x5032,f14(f3(a18)))+~E(f15(x5032,x5031,a18),f14(f3(a18)))
% 1.46/1.49 [504]E(x5041,f3(a18))+E(x5041,f14(f3(a18)))+~E(f11(x5041,x5042,a18),f14(f3(a18)))
% 1.46/1.49 [516]E(x5161,f14(f3(a18)))+E(x5162,f14(f3(a18)))+~E(f11(x5162,x5161,a18),f14(f3(a18)))
% 1.46/1.49 [1015]P12(x10151,f13(x10152,x10151,a18),a18)+~P12(f14(f3(a18)),x10152,a18)+~P12(f14(f3(a18)),x10151,a18)
% 1.46/1.49 [1016]P12(x10161,f13(x10161,x10162,a18),a18)+~P12(f14(f3(a18)),x10162,a18)+~P12(f14(f3(a18)),x10161,a18)
% 1.46/1.49 [1066]~P12(f14(f3(a18)),x10662,a18)+~P12(f14(f3(a18)),x10661,a18)+P12(f14(f3(a18)),f13(x10661,x10662,a18),a18)
% 1.46/1.49 [1067]~P14(f14(f3(a18)),x10672,a18)+~P14(f14(f3(a18)),x10671,a18)+P14(f14(f3(a18)),f13(x10671,x10672,a18),a18)
% 1.46/1.49 [693]~P46(x6931)+~P47(x6931)+E(f8(f13(f3(x6931),x6932,x6931),x6932,x6931),f3(x6931))
% 1.46/1.49 [531]P14(x5312,x5311,x5313)+~P4(x5313)+P12(x5311,x5312,x5313)
% 1.46/1.49 [533]P14(x5332,x5331,x5333)+~P4(x5333)+P14(x5331,x5332,x5333)
% 1.46/1.49 [586]~P35(x5863)+~P12(x5861,x5862,x5863)+P14(x5861,x5862,x5863)
% 1.46/1.49 [587]~P36(x5873)+~P12(x5871,x5872,x5873)+P14(x5871,x5872,x5873)
% 1.46/1.49 [656]~P12(x6563,x6562,x6561)+~P4(x6561)+~P12(x6562,x6563,x6561)
% 1.46/1.49 [658]~P14(x6583,x6582,x6581)+~P4(x6581)+~P12(x6582,x6583,x6581)
% 1.46/1.49 [660]~P12(x6603,x6602,x6601)+~P35(x6601)+~P12(x6602,x6603,x6601)
% 1.46/1.49 [662]~P12(x6623,x6622,x6621)+~P36(x6621)+~P12(x6622,x6623,x6621)
% 1.46/1.49 [663]~P14(x6633,x6632,x6631)+~P36(x6631)+~P12(x6632,x6633,x6631)
% 1.46/1.49 [739]~P13(x7391,x7393,a18)+P13(x7391,x7392,a18)+~P13(x7393,x7392,a18)
% 1.46/1.49 [740]~P14(x7401,x7403,a18)+P14(x7401,x7402,a18)+~P14(x7403,x7402,a18)
% 1.46/1.49 [388]~P7(x3883)+E(x3881,x3882)+~E(f16(x3881,x3883),f16(x3882,x3883))
% 1.46/1.49 [486]~P18(x4863)+E(x4861,x4862)+~E(f7(x4861,x4862,x4863),f3(x4863))
% 1.46/1.49 [487]~P25(x4873)+E(x4871,x4872)+~E(f7(x4871,x4872,x4873),f3(x4873))
% 1.46/1.49 [493]~P68(x4932)+~E(f15(x4931,x4933,x4932),f3(x4932))+E(x4931,f3(x4932))
% 1.46/1.49 [496]~P1(x4963)+P13(x4961,x4962,x4963)+~E(f9(x4961,x4963),f9(x4962,x4963))
% 1.46/1.49 [523]~P45(x5232)+~E(f13(x5231,x5233,x5232),f12(x5232))+E(f10(x5231,x5232),x5233)
% 1.46/1.49 [606]~P9(x6063)+~P13(x6062,x6061,x6063)+E(f5(x6061,x6062,x6063),f3(x6063))
% 1.46/1.49 [607]~P9(x6073)+P13(x6071,x6072,x6073)+~E(f5(x6072,x6071,x6073),f3(x6073))
% 1.46/1.49 [645]E(x6451,x6452)+~E(f13(x6453,x6451,a18),f13(x6453,x6452,a18))+E(x6453,f3(a18))
% 1.46/1.49 [646]E(x6461,x6462)+~E(f13(x6461,x6463,a18),f13(x6462,x6463,a18))+E(x6463,f3(a18))
% 1.46/1.49 [647]~P1(x6473)+~P13(x6471,x6472,x6473)+P13(x6471,f9(x6472,x6473),x6473)
% 1.46/1.49 [648]~P1(x6482)+~P13(x6481,x6483,x6482)+P13(f9(x6481,x6482),x6483,x6482)
% 1.46/1.49 [685]~P1(x6853)+P13(x6851,x6852,x6853)+~P13(x6851,f9(x6852,x6853),x6853)
% 1.46/1.49 [686]~P1(x6863)+P12(x6861,x6862,x6863)+~P12(f9(x6861,x6863),x6862,x6863)
% 1.46/1.49 [687]~P1(x6873)+P13(x6871,x6872,x6873)+~P13(f9(x6871,x6873),x6872,x6873)
% 1.46/1.49 [688]~P28(x6883)+P14(x6881,x6882,x6883)+~P14(f9(x6881,x6883),x6882,x6883)
% 1.46/1.49 [695]~P1(x6951)+P14(f3(x6951),f15(x6952,x6953,x6951),x6951)+~P11(x6953,a18)
% 1.46/1.49 [705]~P55(x7052)+~P12(x7051,x7053,a18)+P12(f16(x7051,x7052),f16(x7053,x7052),x7052)
% 1.46/1.49 [706]~P55(x7062)+~P14(x7061,x7063,a18)+P14(f16(x7061,x7062),f16(x7063,x7062),x7062)
% 1.46/1.49 [749]~P12(x7491,x7493,a18)+~P12(x7493,x7492,a18)+P12(f14(x7491),x7492,a18)
% 1.46/1.49 [751]~P55(x7513)+~P12(f16(x7511,x7513),f16(x7512,x7513),x7513)+P12(x7511,x7512,a18)
% 1.46/1.49 [752]~P55(x7523)+~P14(f16(x7521,x7523),f16(x7522,x7523),x7523)+P14(x7521,x7522,a18)
% 1.46/1.49 [813]E(x8131,x8132)+~E(f13(x8133,x8131,a18),f13(x8133,x8132,a18))+~P12(f3(a18),x8133,a18)
% 1.46/1.49 [814]~P3(x8143)+P13(x8141,f15(x8141,x8142,x8143),x8143)+~P12(f3(a18),x8142,a18)
% 1.46/1.49 [816]~P29(x8163)+~P12(x8161,x8162,x8163)+P12(f7(x8161,x8162,x8163),f3(x8163),x8163)
% 1.46/1.49 [817]~P29(x8173)+~P14(x8171,x8172,x8173)+P14(f7(x8171,x8172,x8173),f3(x8173),x8173)
% 1.46/1.49 [821]~P55(x8211)+~P12(f3(x8211),x8212,x8211)+P12(f3(x8211),f15(x8212,x8213,x8211),x8211)
% 1.46/1.49 [823]~P1(x8231)+~P14(f3(x8231),x8232,x8231)+P14(f3(x8231),f15(x8232,x8233,x8231),x8231)
% 1.46/1.49 [824]~P55(x8241)+~P14(f3(x8241),x8242,x8241)+P14(f3(x8241),f15(x8242,x8243,x8241),x8241)
% 1.46/1.49 [826]~P55(x8261)+~P14(f12(x8261),x8262,x8261)+P14(f12(x8261),f15(x8262,x8263,x8261),x8261)
% 1.46/1.49 [860]~P1(x8601)+~P12(f15(x8603,x8602,x8601),f3(x8601),x8601)+~P11(x8602,a18)
% 1.46/1.49 [919]~P13(x9191,x9193,a18)+~P13(x9191,x9192,a18)+P13(x9191,f6(x9192,x9193,a18),a18)
% 1.46/1.49 [920]~P13(x9201,x9203,a18)+~P13(x9201,x9202,a18)+P13(x9201,f7(x9202,x9203,a18),a18)
% 1.46/1.49 [921]~P29(x9213)+P12(x9211,x9212,x9213)+~P12(f7(x9211,x9212,x9213),f3(x9213),x9213)
% 1.46/1.49 [922]~P29(x9223)+P14(x9221,x9222,x9223)+~P14(f7(x9221,x9222,x9223),f3(x9223),x9223)
% 1.46/1.49 [949]~P1(x9492)+~P12(f15(x9491,x9493,x9492),f3(x9492),x9492)+P12(x9491,f3(x9492),x9492)
% 1.46/1.49 [984]~P13(x9842,x9843,a18)+E(x9841,f3(a18))+P13(f15(x9842,x9841,a18),f15(x9843,x9841,a18),a18)
% 1.46/1.49 [1125]~P12(x11251,x11253,a18)+~P14(x11252,x11251,a18)+P12(f7(x11251,x11252,a18),f7(x11253,x11252,a18),a18)
% 1.46/1.49 [1126]~P12(x11263,x11262,a18)+~P12(x11263,x11261,a18)+P12(f7(x11261,x11262,a18),f7(x11261,x11263,a18),a18)
% 1.46/1.49 [1130]~P12(x11301,x11303,a18)+P12(f13(x11301,x11302,a18),f13(x11303,x11302,a18),a18)+~P12(f3(a18),x11302,a18)
% 1.46/1.49 [1133]~P12(x11332,x11333,a18)+P12(f13(x11331,x11332,a18),f13(x11331,x11333,a18),a18)+~P12(f3(a18),x11331,a18)
% 1.46/1.49 [1217]P13(x12172,x12173,a18)+E(x12171,f3(a18))+~P13(f13(x12171,x12172,a18),f13(x12171,x12173,a18),a18)
% 1.46/1.49 [1219]P13(x12192,x12193,a18)+E(x12191,f3(a18))+~P13(f15(x12192,x12191,a18),f15(x12193,x12191,a18),a18)
% 1.46/1.49 [1233]~P14(x12333,x12332,a18)+~P14(f11(x12331,x12333,a18),x12332,a18)+P14(x12331,f7(x12332,x12333,a18),a18)
% 1.46/1.49 [1234]~P14(x12342,x12343,a18)+~P14(x12341,f7(x12343,x12342,a18),a18)+P14(f11(x12341,x12342,a18),x12343,a18)
% 1.46/1.49 [1299]P12(x12991,x12992,a18)+~P12(f15(x12993,x12991,a18),f15(x12993,x12992,a18),a18)+~P12(f3(a18),x12993,a18)
% 1.46/1.49 [1301]P13(x13011,x13012,a18)+~P13(f13(x13013,x13011,a18),f13(x13013,x13012,a18),a18)+~P12(f3(a18),x13013,a18)
% 1.46/1.49 [1303]P14(x13031,x13032,a18)+~P14(f13(x13033,x13031,a18),f13(x13033,x13032,a18),a18)+~P12(f3(a18),x13033,a18)
% 1.46/1.49 [1304]P14(x13041,x13042,a18)+~P14(f13(x13041,x13043,a18),f13(x13042,x13043,a18),a18)+~P12(f3(a18),x13043,a18)
% 1.46/1.49 [620]~P1(x6202)+~P11(x6203,a18)+E(f15(f9(x6201,x6202),x6203,x6202),f15(x6201,x6203,x6202))
% 1.46/1.49 [651]~P47(x6512)+E(x6511,f3(x6512))+E(f8(f13(x6513,x6511,x6512),x6511,x6512),x6513)
% 1.46/1.49 [689]~P46(x6893)+~P47(x6893)+E(f10(f8(x6891,x6892,x6893),x6893),f8(x6892,x6891,x6893))
% 1.46/1.49 [729]~P45(x7292)+E(x7291,f3(x7292))+E(f15(f10(x7291,x7292),x7293,x7292),f10(f15(x7291,x7293,x7292),x7292))
% 1.46/1.49 [730]~P45(x7302)+~P46(x7302)+E(f15(f10(x7301,x7302),x7303,x7302),f10(f15(x7301,x7303,x7302),x7302))
% 1.46/1.49 [777]~P54(x7772)+E(x7771,f3(x7772))+E(f8(f9(x7773,x7772),f9(x7771,x7772),x7772),f9(f8(x7773,x7771,x7772),x7772))
% 1.46/1.49 [790]~P54(x7902)+~P46(x7902)+E(f8(f9(x7901,x7902),f9(x7903,x7902),x7902),f9(f8(x7901,x7903,x7902),x7902))
% 1.46/1.49 [791]~P46(x7912)+~P47(x7912)+E(f13(f10(x7911,x7912),f10(x7913,x7912),x7912),f10(f13(x7911,x7913,x7912),x7912))
% 1.46/1.49 [798]~P1(x7981)+P12(f3(x7981),f15(x7982,f17(x7983,a18),x7981),x7981)+~E(f17(x7983,a18),f3(a18))
% 1.46/1.49 [850]~P55(x8501)+~P12(f12(x8501),x8502,x8501)+P12(f12(x8501),f15(x8502,f14(x8503),x8501),x8501)
% 1.46/1.49 [893]~P1(x8932)+~P14(f3(x8932),x8933,x8932)+E(f13(f9(x8931,x8932),x8933,x8932),f9(f13(x8931,x8933,x8932),x8932))
% 1.46/1.49 [905]~P67(x9052)+~P14(x9053,x9051,a18)+E(f7(f16(x9051,x9052),f16(x9053,x9052),x9052),f16(f7(x9051,x9053,a18),x9052))
% 1.46/1.49 [1053]~P1(x10532)+~P14(f15(x10533,f17(x10531,a18),x10532),f3(x10532),x10532)+~E(f17(x10531,a18),f3(a18))
% 1.46/1.49 [1163]~P56(x11632)+E(x11631,f3(x11632))+~E(f11(f13(x11633,x11633,x11632),f13(x11631,x11631,x11632),x11632),f3(x11632))
% 1.46/1.49 [1164]~P56(x11642)+E(x11641,f3(x11642))+~E(f11(f13(x11641,x11641,x11642),f13(x11643,x11643,x11642),x11642),f3(x11642))
% 1.46/1.49 [1227]~P14(x12272,x12273,a18)+~P14(x12272,x12271,a18)+E(f7(f7(x12271,x12272,a18),f7(x12273,x12272,a18),a18),f7(x12271,x12273,a18))
% 1.46/1.49 [1232]~P55(x12321)+~P12(f12(x12321),x12322,x12321)+P12(f12(x12321),f13(x12322,f15(x12322,x12323,x12321),x12321),x12321)
% 1.46/1.49 [1329]~P55(x13293)+~P12(f12(x13293),x13291,x13293)+P12(f15(x13291,x13292,x13293),f13(x13291,f15(x13291,x13292,x13293),x13293),x13293)
% 1.46/1.49 [1352]~P56(x13522)+E(x13521,f3(x13522))+P12(f3(x13522),f11(f13(x13523,x13523,x13522),f13(x13521,x13521,x13522),x13522),x13522)
% 1.46/1.49 [1353]~P56(x13532)+E(x13531,f3(x13532))+P12(f3(x13532),f11(f13(x13531,x13531,x13532),f13(x13533,x13533,x13532),x13532),x13532)
% 1.46/1.49 [1455]~P56(x14552)+E(x14551,f3(x14552))+~P14(f11(f13(x14553,x14553,x14552),f13(x14551,x14551,x14552),x14552),f3(x14552),x14552)
% 1.46/1.49 [1456]~P56(x14562)+E(x14561,f3(x14562))+~P14(f11(f13(x14561,x14561,x14562),f13(x14563,x14563,x14562),x14562),f3(x14562),x14562)
% 1.46/1.49 [991]~P46(x9911)+~P47(x9911)+E(f8(f12(x9911),f15(x9912,x9913,x9911),x9911),f15(f8(f12(x9911),x9912,x9911),x9913,x9911))
% 1.46/1.49 [1406]~P54(x14063)+~P12(x14061,x14062,x14063)+P12(x14061,f8(f11(x14061,x14062,x14063),f11(f12(x14063),f12(x14063),x14063),x14063),x14063)
% 1.46/1.49 [1407]~P54(x14073)+~P12(x14071,x14072,x14073)+P12(f8(f11(x14071,x14072,x14073),f11(f12(x14073),f12(x14073),x14073),x14073),x14072,x14073)
% 1.46/1.49 [664]~P21(x6644)+E(x6641,x6642)+~E(f11(x6643,x6641,x6644),f11(x6643,x6642,x6644))
% 1.46/1.49 [665]~P22(x6654)+E(x6651,x6652)+~E(f11(x6653,x6651,x6654),f11(x6653,x6652,x6654))
% 1.46/1.49 [666]~P18(x6664)+E(x6661,x6662)+~E(f7(x6663,x6663,x6664),f7(x6661,x6662,x6664))
% 1.46/1.49 [667]~P22(x6674)+E(x6671,x6672)+~E(f11(x6671,x6673,x6674),f11(x6672,x6673,x6674))
% 1.46/1.49 [668]~P18(x6683)+E(x6681,x6682)+~E(f7(x6681,x6682,x6683),f7(x6684,x6684,x6683))
% 1.46/1.49 [810]~P3(x8104)+~P13(x8101,x8103,x8104)+P13(x8101,f13(x8102,x8103,x8104),x8104)
% 1.46/1.49 [811]~P3(x8114)+~P13(x8111,x8112,x8114)+P13(x8111,f13(x8112,x8113,x8114),x8114)
% 1.46/1.49 [892]~P12(x8924,x8923,a18)+P12(x8921,x8922,a18)+~E(f11(x8921,x8923,a18),f11(x8924,x8922,a18))
% 1.46/1.49 [906]~P3(x9063)+P13(x9061,x9062,x9063)+~P13(f13(x9064,x9061,x9063),x9062,x9063)
% 1.46/1.49 [907]~P3(x9073)+P13(x9071,x9072,x9073)+~P13(f13(x9071,x9074,x9073),x9072,x9073)
% 1.46/1.49 [1001]~P3(x10013)+~P14(x10012,x10014,a18)+P13(f15(x10011,x10012,x10013),f15(x10011,x10014,x10013),x10013)
% 1.46/1.49 [1004]~P31(x10043)+~P12(x10041,x10044,x10043)+P12(f11(x10041,x10042,x10043),f11(x10044,x10042,x10043),x10043)
% 1.46/1.49 [1005]~P32(x10053)+~P12(x10051,x10054,x10053)+P12(f11(x10051,x10052,x10053),f11(x10054,x10052,x10053),x10053)
% 1.46/1.49 [1006]~P31(x10063)+~P12(x10062,x10064,x10063)+P12(f11(x10061,x10062,x10063),f11(x10061,x10064,x10063),x10063)
% 1.46/1.49 [1007]~P32(x10073)+~P12(x10072,x10074,x10073)+P12(f11(x10071,x10072,x10073),f11(x10071,x10074,x10073),x10073)
% 1.46/1.49 [1008]~P2(x10083)+~P13(x10081,x10084,x10083)+P13(f13(x10081,x10082,x10083),f13(x10084,x10082,x10083),x10083)
% 1.46/1.49 [1009]~P2(x10093)+~P13(x10092,x10094,x10093)+P13(f13(x10091,x10092,x10093),f13(x10091,x10094,x10093),x10093)
% 1.46/1.49 [1010]~P3(x10103)+~P13(x10101,x10104,x10103)+P13(f15(x10101,x10102,x10103),f15(x10104,x10102,x10103),x10103)
% 1.46/1.49 [1011]~P32(x10113)+~P14(x10111,x10114,x10113)+P14(f11(x10111,x10112,x10113),f11(x10114,x10112,x10113),x10113)
% 1.46/1.49 [1012]~P33(x10123)+~P14(x10121,x10124,x10123)+P14(f11(x10121,x10122,x10123),f11(x10124,x10122,x10123),x10123)
% 1.46/1.49 [1013]~P32(x10133)+~P14(x10132,x10134,x10133)+P14(f11(x10131,x10132,x10133),f11(x10131,x10134,x10133),x10133)
% 1.46/1.49 [1014]~P33(x10143)+~P14(x10142,x10144,x10143)+P14(f11(x10141,x10142,x10143),f11(x10141,x10144,x10143),x10143)
% 1.46/1.49 [1124]~P12(x11242,x11244,a18)+~P12(x11241,x11243,a18)+P12(f11(x11241,x11242,a18),f11(x11243,x11244,a18),a18)
% 1.46/1.49 [1127]~P14(x11272,x11274,a18)+~P14(x11271,x11273,a18)+P14(f13(x11271,x11272,a18),f13(x11273,x11274,a18),a18)
% 1.46/1.49 [1128]~P14(x11282,x11284,a18)+~P14(x11281,x11283,a18)+P14(f11(x11281,x11282,a18),f11(x11283,x11284,a18),a18)
% 1.46/1.49 [1228]~P32(x12283)+P12(x12281,x12282,x12283)+~P12(f11(x12284,x12281,x12283),f11(x12284,x12282,x12283),x12283)
% 1.46/1.49 [1229]~P32(x12293)+P12(x12291,x12292,x12293)+~P12(f11(x12291,x12294,x12293),f11(x12292,x12294,x12293),x12293)
% 1.46/1.49 [1230]~P32(x12303)+P14(x12301,x12302,x12303)+~P14(f11(x12304,x12301,x12303),f11(x12304,x12302,x12303),x12303)
% 1.46/1.49 [1231]~P32(x12313)+P14(x12311,x12312,x12313)+~P14(f11(x12311,x12314,x12313),f11(x12312,x12314,x12313),x12313)
% 1.46/1.49 [900]~P9(x9003)+~P13(x9004,x9002,x9003)+E(f5(f5(x9001,x9002,x9003),x9004,x9003),f5(x9001,x9004,x9003))
% 1.46/1.49 [957]~P46(x9573)+~P47(x9573)+E(f8(f13(x9571,x9572,x9573),x9574,x9573),f13(f8(x9571,x9574,x9573),x9572,x9573))
% 1.46/1.49 [1165]~P47(x11652)+E(x11651,f3(x11652))+E(f8(f15(x11653,x11654,x11652),f15(x11651,x11654,x11652),x11652),f15(f8(x11653,x11651,x11652),x11654,x11652))
% 1.46/1.49 [1166]~P46(x11663)+~P47(x11663)+E(f8(f15(x11661,x11662,x11663),f15(x11664,x11662,x11663),x11663),f15(f8(x11661,x11664,x11663),x11662,x11663))
% 1.46/1.49 [1226]~P5(x12264)+~P14(f11(x12261,x12263,x12264),x12262,x12264)+P14(x12261,f11(x12262,f9(x12263,x12264),x12264),x12264)
% 1.46/1.49 [1237]E(x12371,x12372)+E(x12373,f3(a18))+~E(f11(x12374,f13(x12373,x12371,a18),a18),f11(x12374,f13(x12373,x12372,a18),a18))
% 1.46/1.49 [1292]~P2(x12923)+~P15(x12923)+E(f11(f13(x12921,x12922,x12923),f13(x12921,x12924,x12923),x12923),f11(f13(x12921,x12924,x12923),f13(x12921,x12922,x12923),x12923))
% 1.46/1.49 [1363]~P1(x13634)+P12(x13631,f11(x13632,x13633,x13634),x13634)+~P12(f9(f7(x13631,x13632,x13634),x13634),x13633,x13634)
% 1.46/1.49 [1364]~P1(x13643)+P12(f7(x13641,x13642,x13643),x13644,x13643)+~P12(f9(f7(x13644,x13641,x13643),x13643),x13642,x13643)
% 1.46/1.49 [1446]E(x14461,x14462)+E(x14463,x14464)+~E(f11(f13(x14463,x14461,a18),f13(x14464,x14462,a18),a18),f11(f13(x14463,x14462,a18),f13(x14464,x14461,a18),a18))
% 1.46/1.49 [1307]~P8(x13072)+~P65(x13072)+E(f11(f13(f17(x13071,x13072),x13073,x13072),f13(f17(x13071,x13072),x13074,x13072),x13072),f13(f17(x13071,x13072),f11(x13073,x13074,x13072),x13072))
% 1.46/1.49 [1308]~P59(x13082)+~P8(x13082)+E(f7(f13(f17(x13081,x13082),x13083,x13082),f13(f17(x13081,x13082),x13084,x13082),x13082),f13(f17(x13081,x13082),f7(x13083,x13084,x13082),x13082))
% 1.46/1.49 [1309]~P8(x13093)+~P65(x13093)+E(f11(f13(x13091,f17(x13092,x13093),x13093),f13(x13094,f17(x13092,x13093),x13093),x13093),f13(f11(x13091,x13094,x13093),f17(x13092,x13093),x13093))
% 1.46/1.49 [1310]~P59(x13103)+~P8(x13103)+E(f7(f13(x13101,f17(x13102,x13103),x13103),f13(x13104,f17(x13102,x13103),x13103),x13103),f13(f7(x13101,x13104,x13103),f17(x13102,x13103),x13103))
% 1.46/1.49 [1360]~P26(x13604)+~P14(x13603,x13602,a18)+E(f13(f15(x13601,f7(x13602,x13603,a18),x13604),x13601,x13604),f15(x13601,f7(f14(x13602),x13603,a18),x13604))
% 1.46/1.49 [1475]~P12(x14754,x14751,a18)+~P12(f3(a18),x14753,a18)+P12(f11(f13(x14751,f5(x14752,x14753,a18),a18),x14754,a18),f13(x14751,x14753,a18),a18)
% 1.46/1.49 [1107]~P18(x11073)+E(f11(x11071,x11072,x11073),x11074)+~E(f11(x11071,f11(x11075,x11072,x11073),x11073),f11(x11075,x11074,x11073))
% 1.46/1.49 [1293]~P46(x12933)+~P47(x12933)+E(f8(f13(x12931,x12932,x12933),f13(x12934,x12935,x12933),x12933),f13(f8(x12931,x12934,x12933),f8(x12932,x12935,x12933),x12933))
% 1.46/1.49 [1452]~P14(x14523,x14522,a18)+~E(f11(f13(x14523,x14524,a18),x14521,a18),f11(f13(x14522,x14524,a18),x14525,a18))+E(x14521,f11(f13(f7(x14522,x14523,a18),x14524,a18),x14525,a18))
% 1.46/1.49 [1453]~P14(x14532,x14531,a18)+~E(f11(f13(x14531,x14533,a18),x14534,a18),f11(f13(x14532,x14533,a18),x14535,a18))+E(f11(f13(f7(x14531,x14532,a18),x14533,a18),x14534,a18),x14535)
% 1.46/1.49 [1489]~P14(x14893,x14892,a18)+~P12(f11(f13(x14893,x14894,a18),x14891,a18),f11(f13(x14892,x14894,a18),x14895,a18),a18)+P12(x14891,f11(f13(f7(x14892,x14893,a18),x14894,a18),x14895,a18),a18)
% 1.46/1.49 [1490]~P14(x14903,x14902,a18)+~P14(f11(f13(x14903,x14904,a18),x14901,a18),f11(f13(x14902,x14904,a18),x14905,a18),a18)+P14(x14901,f11(f13(f7(x14902,x14903,a18),x14904,a18),x14905,a18),a18)
% 1.46/1.49 [1491]~P14(x14912,x14911,a18)+~P12(f11(f13(x14911,x14913,a18),x14914,a18),f11(f13(x14912,x14913,a18),x14915,a18),a18)+P12(f11(f13(f7(x14911,x14912,a18),x14913,a18),x14914,a18),x14915,a18)
% 1.46/1.49 [1492]~P14(x14922,x14921,a18)+~P14(f11(f13(x14921,x14923,a18),x14924,a18),f11(f13(x14922,x14923,a18),x14925,a18),a18)+P14(f11(f13(f7(x14921,x14922,a18),x14923,a18),x14924,a18),x14925,a18)
% 1.46/1.49 [1497]~P14(x14971,x14974,a18)+P12(f11(f13(x14971,x14972,a18),x14973,a18),f11(f13(x14974,x14972,a18),x14975,a18),a18)+~P12(x14973,f11(f13(f7(x14974,x14971,a18),x14972,a18),x14975,a18),a18)
% 1.46/1.49 [1498]~P14(x14981,x14984,a18)+P14(f11(f13(x14981,x14982,a18),x14983,a18),f11(f13(x14984,x14982,a18),x14985,a18),a18)+~P14(x14983,f11(f13(f7(x14984,x14981,a18),x14982,a18),x14985,a18),a18)
% 1.46/1.49 [1499]~P14(x14994,x14991,a18)+P12(f11(f13(x14991,x14992,a18),x14993,a18),f11(f13(x14994,x14992,a18),x14995,a18),a18)+~P12(f11(f13(f7(x14991,x14994,a18),x14992,a18),x14993,a18),x14995,a18)
% 1.46/1.49 [1500]~P14(x15004,x15001,a18)+P14(f11(f13(x15001,x15002,a18),x15003,a18),f11(f13(x15004,x15002,a18),x15005,a18),a18)+~P14(f11(f13(f7(x15001,x15004,a18),x15002,a18),x15003,a18),x15005,a18)
% 1.46/1.49 [1450]~P59(x14504)+~E(f11(f13(x14503,x14505,x14504),x14501,x14504),f11(f13(x14502,x14505,x14504),x14506,x14504))+E(x14501,f11(f13(f7(x14502,x14503,x14504),x14505,x14504),x14506,x14504))
% 1.46/1.49 [1451]~P59(x14513)+~E(f11(f13(x14511,x14514,x14513),x14515,x14513),f11(f13(x14512,x14514,x14513),x14516,x14513))+E(f11(f13(f7(x14511,x14512,x14513),x14514,x14513),x14515,x14513),x14516)
% 1.46/1.49 [1485]~P60(x14854)+~P12(f11(f13(x14853,x14855,x14854),x14851,x14854),f11(f13(x14852,x14855,x14854),x14856,x14854),x14854)+P12(x14851,f11(f13(f7(x14852,x14853,x14854),x14855,x14854),x14856,x14854),x14854)
% 1.46/1.49 [1486]~P60(x14864)+~P14(f11(f13(x14863,x14865,x14864),x14861,x14864),f11(f13(x14862,x14865,x14864),x14866,x14864),x14864)+P14(x14861,f11(f13(f7(x14862,x14863,x14864),x14865,x14864),x14866,x14864),x14864)
% 1.46/1.49 [1487]~P60(x14873)+~P12(f11(f13(x14871,x14874,x14873),x14875,x14873),f11(f13(x14872,x14874,x14873),x14876,x14873),x14873)+P12(f11(f13(f7(x14871,x14872,x14873),x14874,x14873),x14875,x14873),x14876,x14873)
% 1.46/1.49 [1488]~P60(x14883)+~P14(f11(f13(x14881,x14884,x14883),x14885,x14883),f11(f13(x14882,x14884,x14883),x14886,x14883),x14883)+P14(f11(f13(f7(x14881,x14882,x14883),x14884,x14883),x14885,x14883),x14886,x14883)
% 1.46/1.49 [1493]~P60(x14933)+P12(f11(f13(x14931,x14932,x14933),x14934,x14933),f11(f13(x14935,x14932,x14933),x14936,x14933),x14933)+~P12(x14934,f11(f13(f7(x14935,x14931,x14933),x14932,x14933),x14936,x14933),x14933)
% 1.46/1.49 [1494]~P60(x14943)+P14(f11(f13(x14941,x14942,x14943),x14944,x14943),f11(f13(x14945,x14942,x14943),x14946,x14943),x14943)+~P14(x14944,f11(f13(f7(x14945,x14941,x14943),x14942,x14943),x14946,x14943),x14943)
% 1.46/1.49 [1495]~P60(x14953)+P12(f11(f13(x14951,x14952,x14953),x14954,x14953),f11(f13(x14955,x14952,x14953),x14956,x14953),x14953)+~P12(f11(f13(f7(x14951,x14955,x14953),x14952,x14953),x14954,x14953),x14956,x14953)
% 1.46/1.49 [1496]~P60(x14963)+P14(f11(f13(x14961,x14962,x14963),x14964,x14963),f11(f13(x14965,x14962,x14963),x14966,x14963),x14963)+~P14(f11(f13(f7(x14961,x14965,x14963),x14962,x14963),x14964,x14963),x14966,x14963)
% 1.46/1.49 [385]~P46(x3852)+~P47(x3852)+~E(f10(x3851,x3852),f12(x3852))+E(x3851,f12(x3852))
% 1.46/1.49 [464]~P4(x4642)+~P5(x4642)+P12(x4641,f3(x4642),x4642)+E(f9(x4641,x4642),x4641)
% 1.46/1.49 [698]~P54(x6981)+~P46(x6981)+~P14(f3(x6981),x6982,x6981)+P14(f3(x6981),f10(x6982,x6981),x6981)
% 1.46/1.49 [700]~P54(x7002)+~P46(x7002)+~P14(x7001,f3(x7002),x7002)+P12(f10(x7001,x7002),f12(x7002),x7002)
% 1.46/1.49 [701]~P54(x7012)+~P46(x7012)+~P14(x7011,f3(x7012),x7012)+P14(f10(x7011,x7012),f3(x7012),x7012)
% 1.46/1.49 [702]~P54(x7022)+~P46(x7022)+~P14(x7021,f3(x7022),x7022)+P14(f10(x7021,x7022),f12(x7022),x7022)
% 1.46/1.49 [703]~P54(x7032)+~P46(x7032)+~P12(f12(x7032),x7031,x7032)+P12(f10(x7031,x7032),f12(x7032),x7032)
% 1.46/1.49 [704]~P54(x7042)+~P46(x7042)+~P14(f12(x7042),x7041,x7042)+P14(f10(x7041,x7042),f12(x7042),x7042)
% 1.46/1.49 [716]~P54(x7162)+~P12(f10(x7161,x7162),f3(x7162),x7162)+P12(x7161,f3(x7162),x7162)+E(x7161,f3(x7162))
% 1.46/1.49 [717]~P54(x7172)+~P12(f3(x7172),f10(x7171,x7172),x7172)+P12(f3(x7172),x7171,x7172)+E(x7171,f3(x7172))
% 1.46/1.49 [720]~P54(x7202)+~P46(x7202)+~P12(f12(x7202),f10(x7201,x7202),x7202)+P12(x7201,f12(x7202),x7202)
% 1.46/1.49 [721]~P54(x7212)+~P46(x7212)+~P14(f12(x7212),f10(x7211,x7212),x7212)+P14(x7211,f12(x7212),x7212)
% 1.46/1.49 [722]~P54(x7222)+~P46(x7222)+~P12(f10(x7221,x7222),f3(x7222),x7222)+P12(x7221,f3(x7222),x7222)
% 1.46/1.49 [723]~P54(x7232)+~P46(x7232)+~P14(f10(x7231,x7232),f3(x7232),x7232)+P14(x7231,f3(x7232),x7232)
% 1.46/1.49 [724]~P54(x7241)+~P46(x7241)+~P12(f3(x7241),f10(x7242,x7241),x7241)+P12(f3(x7241),x7242,x7241)
% 1.46/1.49 [725]~P54(x7251)+~P46(x7251)+~P12(f12(x7251),f10(x7252,x7251),x7251)+P12(f3(x7251),x7252,x7251)
% 1.46/1.49 [726]~P54(x7261)+~P46(x7261)+~P14(f12(x7261),f10(x7262,x7261),x7261)+P12(f3(x7261),x7262,x7261)
% 1.46/1.49 [727]~P54(x7271)+~P46(x7271)+~P14(f3(x7271),f10(x7272,x7271),x7271)+P14(f3(x7271),x7272,x7271)
% 1.46/1.49 [819]P12(x8191,x8192,a18)+~P11(x8192,a18)+P11(x8191,a18)+~P11(f7(x8191,x8192,a18),a18)
% 1.46/1.49 [820]P12(x8202,x8201,a18)+~P11(x8202,a18)+P11(x8201,a18)+~P11(f7(x8202,x8201,a18),a18)
% 1.46/1.49 [455]~P69(x4552)+~P38(x4552)+E(x4551,f3(a18))+E(f15(f3(x4552),x4551,x4552),f3(x4552))
% 1.46/1.49 [545]~P69(x5451)+~P38(x5451)+~E(f17(x5452,a18),f3(a18))+E(f15(f3(x5451),f17(x5452,a18),x5451),f12(x5451))
% 1.46/1.49 [608]~P1(x6082)+~P15(x6082)+P12(f17(x6081,x6082),f3(x6082),x6082)+E(f9(f17(x6081,x6082),x6082),f17(x6081,x6082))
% 1.46/1.49 [719]~P1(x7192)+~P11(x7191,a18)+P14(f15(f3(x7192),x7191,x7192),f3(x7192),x7192)+E(x7191,f3(a18))
% 1.46/1.49 [856]~P54(x8561)+~P46(x8561)+~P12(f3(x8561),x8562,x8561)+P12(f3(x8561),f8(f12(x8561),x8562,x8561),x8561)
% 1.46/1.49 [857]~P54(x8571)+~P46(x8571)+~P14(f3(x8571),x8572,x8571)+P14(f3(x8571),f8(f12(x8571),x8572,x8571),x8571)
% 1.46/1.49 [858]~P54(x8581)+~P46(x8581)+~P12(x8582,f3(x8581),x8581)+P12(f8(f12(x8581),x8582,x8581),f3(x8581),x8581)
% 1.46/1.49 [859]~P54(x8591)+~P46(x8591)+~P14(x8592,f3(x8591),x8591)+P14(f8(f12(x8591),x8592,x8591),f3(x8591),x8591)
% 1.46/1.49 [904]~P1(x9042)+~P11(x9041,a18)+~P12(f3(x9042),f15(f3(x9042),x9041,x9042),x9042)+E(x9041,f3(a18))
% 1.46/1.49 [992]~P54(x9922)+~P46(x9922)+P12(x9921,f3(x9922),x9922)+~P12(f8(f12(x9922),x9921,x9922),f3(x9922),x9922)
% 1.46/1.49 [993]~P54(x9932)+~P46(x9932)+P14(x9931,f3(x9932),x9932)+~P14(f8(f12(x9932),x9931,x9932),f3(x9932),x9932)
% 1.46/1.49 [994]~P54(x9941)+~P46(x9941)+P12(f3(x9941),x9942,x9941)+~P12(f3(x9941),f8(f12(x9941),x9942,x9941),x9941)
% 1.46/1.49 [995]~P54(x9951)+~P46(x9951)+P14(f3(x9951),x9952,x9951)+~P14(f3(x9951),f8(f12(x9951),x9952,x9951),x9951)
% 1.46/1.49 [1003]~P1(x10032)+P12(f3(x10032),f3(x10032),x10032)+~P12(f3(x10032),f15(f3(x10032),x10031,x10032),x10032)+E(x10031,f3(a18))
% 1.46/1.49 [537]P12(x5371,x5372,x5373)+~P1(x5373)+E(x5371,x5372)+P12(x5372,x5371,x5373)
% 1.46/1.49 [541]P12(x5411,x5412,x5413)+~P4(x5413)+E(x5411,x5412)+P12(x5412,x5411,x5413)
% 1.46/1.49 [598]~P4(x5983)+~P14(x5981,x5982,x5983)+E(x5981,x5982)+P12(x5981,x5982,x5983)
% 1.46/1.49 [604]~P35(x6043)+~P14(x6041,x6042,x6043)+E(x6041,x6042)+P12(x6041,x6042,x6043)
% 1.46/1.49 [674]~P14(x6742,x6741,x6743)+~P14(x6741,x6742,x6743)+E(x6741,x6742)+~P35(x6743)
% 1.46/1.49 [712]P14(x7122,x7121,x7123)+~P36(x7123)+~P14(x7121,x7122,x7123)+P12(x7121,x7122,x7123)
% 1.46/1.49 [391]~P15(x3913)+~P16(x3913)+E(x3911,x3912)+~E(f17(x3911,x3913),f17(x3912,x3913))
% 1.46/1.49 [392]~P45(x3923)+~P46(x3923)+E(x3921,x3922)+~E(f10(x3921,x3923),f10(x3922,x3923))
% 1.46/1.49 [505]~P47(x5053)+E(x5051,x5052)+~E(f8(x5051,x5052,x5053),f12(x5053))+E(x5052,f3(x5053))
% 1.46/1.49 [506]~P2(x5062)+~P15(x5062)+~E(f11(x5063,x5061,x5062),x5063)+E(x5061,f3(x5062))
% 1.46/1.49 [508]~P2(x5083)+~P15(x5083)+E(x5081,x5082)+~E(f7(x5081,x5082,x5083),f3(x5083))
% 1.46/1.49 [511]~P66(x5112)+~E(f13(x5113,x5111,x5112),f3(x5112))+E(x5111,f3(x5112))+E(x5113,f3(x5112))
% 1.46/1.49 [513]~P53(x5132)+~E(f13(x5133,x5131,x5132),f3(x5132))+E(x5131,f3(x5132))+E(x5133,f3(x5132))
% 1.46/1.49 [710]~P1(x7102)+P12(f3(x7102),f15(x7101,x7103,x7102),x7102)+~P11(x7103,a18)+E(x7101,f3(x7102))
% 1.46/1.49 [711]~P56(x7111)+~P26(x7111)+P14(f3(x7111),f15(x7112,x7113,x7111),x7111)+~P11(x7113,a18)
% 1.46/1.49 [851]~P1(x8512)+P12(f3(x8512),f15(x8513,x8511,x8512),x8512)+~P12(f3(x8512),x8513,x8512)+P11(x8511,a18)
% 1.46/1.49 [854]~P1(x8543)+~P12(x8542,f3(x8543),x8543)+P12(f15(x8542,x8541,x8543),f3(x8543),x8543)+P11(x8541,a18)
% 1.46/1.49 [871]~P54(x8712)+~P12(x8713,x8711,x8712)+~P12(x8711,f3(x8712),x8712)+P12(f10(x8711,x8712),f10(x8713,x8712),x8712)
% 1.46/1.49 [872]~P54(x8722)+~P14(x8723,x8721,x8722)+~P12(x8721,f3(x8722),x8722)+P14(f10(x8721,x8722),f10(x8723,x8722),x8722)
% 1.46/1.49 [873]~P54(x8732)+~P12(x8733,x8731,x8732)+~P12(f3(x8732),x8733,x8732)+P12(f10(x8731,x8732),f10(x8733,x8732),x8732)
% 1.46/1.49 [874]~P54(x8742)+~P14(x8743,x8741,x8742)+~P12(f3(x8742),x8743,x8742)+P14(f10(x8741,x8742),f10(x8743,x8742),x8742)
% 1.46/1.49 [875]~P1(x8752)+~P14(f15(x8751,x8753,x8752),f3(x8752),x8752)+E(x8751,f3(x8752))+~P11(x8753,a18)
% 1.46/1.49 [923]~P54(x9233)+P12(x9231,x9232,x9233)+~P12(x9231,f3(x9233),x9233)+~P12(f10(x9232,x9233),f10(x9231,x9233),x9233)
% 1.46/1.49 [924]~P54(x9243)+P14(x9241,x9242,x9243)+~P12(x9241,f3(x9243),x9243)+~P14(f10(x9242,x9243),f10(x9241,x9243),x9243)
% 1.46/1.49 [925]~P54(x9253)+P12(x9251,x9252,x9253)+~P12(f3(x9253),x9252,x9253)+~P12(f10(x9252,x9253),f10(x9251,x9253),x9253)
% 1.46/1.49 [926]~P54(x9263)+P14(x9261,x9262,x9263)+~P12(f3(x9263),x9262,x9263)+~P14(f10(x9262,x9263),f10(x9261,x9263),x9263)
% 1.46/1.49 [956]E(x9561,x9562)+~P14(x9563,x9562,a18)+~P14(x9563,x9561,a18)+~E(f7(x9561,x9563,a18),f7(x9562,x9563,a18))
% 1.46/1.49 [958]~P1(x9582)+~P14(f15(x9581,x9583,x9582),f3(x9582),x9582)+P14(x9581,f3(x9582),x9582)+E(x9581,f3(x9582))
% 1.46/1.49 [980]~P1(x9803)+~P14(f15(x9802,x9801,x9803),f3(x9803),x9803)+P14(x9802,f3(x9803),x9803)+P11(x9801,a18)
% 1.46/1.49 [983]~P1(x9832)+~P14(f3(x9832),f15(x9833,x9831,x9832),x9832)+P14(f3(x9832),x9833,x9832)+P11(x9831,a18)
% 1.46/1.49 [1002]~P55(x10021)+~P12(f12(x10021),x10022,x10021)+P12(f12(x10021),f15(x10022,x10023,x10021),x10021)+~P12(f3(a18),x10023,a18)
% 1.46/1.49 [1018]~P56(x10181)+~P12(x10183,f3(x10181),x10181)+~P12(x10182,f3(x10181),x10181)+P12(f3(x10181),f13(x10182,x10183,x10181),x10181)
% 1.46/1.49 [1019]~P54(x10191)+~P12(x10193,f3(x10191),x10191)+~P12(x10192,f3(x10191),x10191)+P12(f3(x10191),f8(x10192,x10193,x10191),x10191)
% 1.46/1.49 [1020]~P56(x10201)+~P14(x10203,f3(x10201),x10201)+~P14(x10202,f3(x10201),x10201)+P14(f3(x10201),f13(x10202,x10203,x10201),x10201)
% 1.46/1.49 [1022]~P60(x10221)+~P14(x10223,f3(x10221),x10221)+~P14(x10222,f3(x10221),x10221)+P14(f3(x10221),f13(x10222,x10223,x10221),x10221)
% 1.46/1.49 [1023]~P54(x10231)+~P12(x10233,f3(x10231),x10231)+~P14(x10232,f3(x10231),x10231)+P14(f3(x10231),f8(x10232,x10233,x10231),x10231)
% 1.46/1.49 [1024]~P57(x10241)+~P12(f3(x10241),x10243,x10241)+~P12(f3(x10241),x10242,x10241)+P12(f3(x10241),f13(x10242,x10243,x10241),x10241)
% 1.46/1.49 [1025]~P30(x10251)+~P12(f3(x10251),x10253,x10251)+~P12(f3(x10251),x10252,x10251)+P12(f3(x10251),f11(x10252,x10253,x10251),x10251)
% 1.46/1.49 [1026]~P30(x10261)+~P12(f3(x10261),x10263,x10261)+~P14(f3(x10261),x10262,x10261)+P12(f3(x10261),f11(x10262,x10263,x10261),x10261)
% 1.46/1.49 [1027]~P30(x10271)+~P12(f3(x10271),x10272,x10271)+~P14(f3(x10271),x10273,x10271)+P12(f3(x10271),f11(x10272,x10273,x10271),x10271)
% 1.46/1.49 [1028]~P54(x10281)+~P12(f3(x10281),x10283,x10281)+~P12(f3(x10281),x10282,x10281)+P12(f3(x10281),f8(x10282,x10283,x10281),x10281)
% 1.46/1.49 [1029]~P55(x10291)+~P12(f12(x10291),x10293,x10291)+~P12(f12(x10291),x10292,x10291)+P12(f12(x10291),f13(x10292,x10293,x10291),x10291)
% 1.46/1.49 [1030]~P56(x10301)+~P14(f3(x10301),x10303,x10301)+~P14(f3(x10301),x10302,x10301)+P14(f3(x10301),f13(x10302,x10303,x10301),x10301)
% 1.46/1.49 [1031]~P60(x10311)+~P14(f3(x10311),x10313,x10311)+~P14(f3(x10311),x10312,x10311)+P14(f3(x10311),f13(x10312,x10313,x10311),x10311)
% 1.46/1.49 [1032]~P61(x10321)+~P14(f3(x10321),x10323,x10321)+~P14(f3(x10321),x10322,x10321)+P14(f3(x10321),f13(x10322,x10323,x10321),x10321)
% 1.46/1.49 [1033]~P30(x10331)+~P14(f3(x10331),x10333,x10331)+~P14(f3(x10331),x10332,x10331)+P14(f3(x10331),f11(x10332,x10333,x10331),x10331)
% 1.46/1.49 [1034]~P54(x10341)+~P12(f3(x10341),x10343,x10341)+~P14(f3(x10341),x10342,x10341)+P14(f3(x10341),f8(x10342,x10343,x10341),x10341)
% 1.46/1.49 [1035]~P30(x10353)+~P12(x10352,f3(x10353),x10353)+~P12(x10351,f3(x10353),x10353)+P12(f11(x10351,x10352,x10353),f3(x10353),x10353)
% 1.46/1.49 [1036]~P30(x10363)+~P12(x10362,f3(x10363),x10363)+~P14(x10361,f3(x10363),x10363)+P12(f11(x10361,x10362,x10363),f3(x10363),x10363)
% 1.46/1.49 [1037]~P30(x10373)+~P12(x10371,f3(x10373),x10373)+~P14(x10372,f3(x10373),x10373)+P12(f11(x10371,x10372,x10373),f3(x10373),x10373)
% 1.46/1.49 [1038]~P30(x10383)+~P14(x10382,f3(x10383),x10383)+~P14(x10381,f3(x10383),x10383)+P14(f11(x10381,x10382,x10383),f3(x10383),x10383)
% 1.46/1.49 [1039]~P57(x10393)+~P12(x10392,f3(x10393),x10393)+~P12(f3(x10393),x10391,x10393)+P12(f13(x10391,x10392,x10393),f3(x10393),x10393)
% 1.46/1.49 [1041]~P57(x10413)+~P12(x10411,f3(x10413),x10413)+~P12(f3(x10413),x10412,x10413)+P12(f13(x10411,x10412,x10413),f3(x10413),x10413)
% 1.46/1.49 [1042]~P54(x10423)+~P12(x10422,f3(x10423),x10423)+~P12(f3(x10423),x10421,x10423)+P12(f8(x10421,x10422,x10423),f3(x10423),x10423)
% 1.46/1.49 [1043]~P54(x10433)+~P12(x10431,f3(x10433),x10433)+~P12(f3(x10433),x10432,x10433)+P12(f8(x10431,x10432,x10433),f3(x10433),x10433)
% 1.46/1.49 [1044]~P56(x10443)+~P14(x10442,f3(x10443),x10443)+~P14(f3(x10443),x10441,x10443)+P14(f13(x10441,x10442,x10443),f3(x10443),x10443)
% 1.46/1.49 [1045]~P56(x10453)+~P14(x10451,f3(x10453),x10453)+~P14(f3(x10453),x10452,x10453)+P14(f13(x10451,x10452,x10453),f3(x10453),x10453)
% 1.46/1.49 [1047]~P61(x10473)+~P14(x10472,f3(x10473),x10473)+~P14(f3(x10473),x10471,x10473)+P14(f13(x10471,x10472,x10473),f3(x10473),x10473)
% 1.46/1.49 [1050]~P61(x10503)+~P14(x10501,f3(x10503),x10503)+~P14(f3(x10503),x10502,x10503)+P14(f13(x10501,x10502,x10503),f3(x10503),x10503)
% 1.46/1.49 [1051]~P54(x10513)+~P12(x10512,f3(x10513),x10513)+~P14(f3(x10513),x10511,x10513)+P14(f8(x10511,x10512,x10513),f3(x10513),x10513)
% 1.46/1.49 [1052]~P54(x10523)+~P14(x10521,f3(x10523),x10523)+~P12(f3(x10523),x10522,x10523)+P14(f8(x10521,x10522,x10523),f3(x10523),x10523)
% 1.46/1.49 [1072]~P56(x10722)+~P14(f13(x10723,x10721,x10722),f3(x10722),x10722)+P14(x10721,f3(x10722),x10722)+P14(x10723,f3(x10722),x10722)
% 1.46/1.49 [1073]~P56(x10732)+~P14(f3(x10732),f13(x10733,x10731,x10732),x10732)+P14(x10731,f3(x10732),x10732)+P14(f3(x10732),x10733,x10732)
% 1.46/1.49 [1074]~P56(x10742)+~P14(f3(x10742),f13(x10741,x10743,x10742),x10742)+P14(x10741,f3(x10742),x10742)+P14(f3(x10742),x10743,x10742)
% 1.46/1.49 [1075]~P56(x10752)+~P14(f3(x10752),f13(x10753,x10751,x10752),x10752)+P14(x10751,f3(x10752),x10752)+P14(f3(x10752),x10751,x10752)
% 1.46/1.49 [1076]~P56(x10762)+~P14(f3(x10762),f13(x10761,x10763,x10762),x10762)+P14(x10761,f3(x10762),x10762)+P14(f3(x10762),x10761,x10762)
% 1.46/1.49 [1077]~P56(x10772)+~P14(f13(x10773,x10771,x10772),f3(x10772),x10772)+P14(x10771,f3(x10772),x10772)+P14(f3(x10772),x10771,x10772)
% 1.46/1.49 [1078]~P56(x10782)+~P14(f13(x10781,x10783,x10782),f3(x10782),x10782)+P14(x10781,f3(x10782),x10782)+P14(f3(x10782),x10781,x10782)
% 1.46/1.49 [1079]~P56(x10791)+~P14(f13(x10792,x10793,x10791),f3(x10791),x10791)+P14(f3(x10791),x10792,x10791)+P14(f3(x10791),x10793,x10791)
% 1.46/1.49 [1122]~P57(x11221)+~P12(f3(x11221),f13(x11223,x11222,x11221),x11221)+P12(f3(x11221),x11222,x11221)+~P12(f3(x11221),x11223,x11221)
% 1.46/1.49 [1123]~P57(x11231)+~P12(f3(x11231),f13(x11232,x11233,x11231),x11231)+P12(f3(x11231),x11232,x11231)+~P12(f3(x11231),x11233,x11231)
% 1.46/1.49 [1224]~P14(x12243,x12242,a18)+P13(x12241,x12242,a18)+~P13(x12241,x12243,a18)+~P13(x12241,f7(x12242,x12243,a18),a18)
% 1.46/1.49 [1225]~P14(x12252,x12253,a18)+P13(x12251,x12252,a18)+~P13(x12251,x12253,a18)+~P13(x12251,f7(x12253,x12252,a18),a18)
% 1.46/1.49 [1361]~P14(x13613,x13611,a18)+P12(x13611,x13612,a18)+~P14(x13613,x13612,a18)+~P12(f7(x13611,x13613,a18),f7(x13612,x13613,a18),a18)
% 1.46/1.49 [1362]~P14(x13623,x13621,a18)+P14(x13621,x13622,a18)+~P14(x13623,x13622,a18)+~P14(f7(x13621,x13623,a18),f7(x13622,x13623,a18),a18)
% 1.46/1.49 [677]~P46(x6772)+~P47(x6772)+E(x6771,f3(x6772))+E(f13(f8(x6773,x6771,x6772),x6771,x6772),x6773)
% 1.46/1.49 [799]~P45(x7992)+E(x7991,f3(x7992))+E(x7993,f3(x7992))+E(f13(f10(x7991,x7992),f10(x7993,x7992),x7992),f10(f13(x7993,x7991,x7992),x7992))
% 1.46/1.49 [901]~P54(x9012)+~P46(x9012)+~P12(f3(x9012),x9013,x9012)+E(f8(f9(x9011,x9012),x9013,x9012),f9(f8(x9011,x9013,x9012),x9012))
% 1.46/1.49 [1068]~P55(x10683)+~P12(x10681,f12(x10683),x10683)+~P12(f3(x10683),x10681,x10683)+P12(f15(x10681,f14(x10682),x10683),f12(x10683),x10683)
% 1.46/1.49 [1118]~P62(x11182)+~P14(x11183,f3(x11182),x11182)+~P14(x11181,f3(x11182),x11182)+E(f13(f9(x11181,x11182),f9(x11183,x11182),x11182),f9(f13(x11181,x11183,x11182),x11182))
% 1.46/1.49 [1119]~P62(x11192)+~P14(x11193,f3(x11192),x11192)+~P14(f3(x11192),x11191,x11192)+E(f13(f9(x11191,x11192),f9(x11193,x11192),x11192),f9(f13(x11191,x11193,x11192),x11192))
% 1.46/1.49 [1120]~P62(x11202)+~P14(x11201,f3(x11202),x11202)+~P14(f3(x11202),x11203,x11202)+E(f13(f9(x11201,x11202),f9(x11203,x11202),x11202),f9(f13(x11201,x11203,x11202),x11202))
% 1.46/1.49 [1121]~P62(x11212)+~P14(f3(x11212),x11213,x11212)+~P14(f3(x11212),x11211,x11212)+E(f13(f9(x11211,x11212),f9(x11213,x11212),x11212),f9(f13(x11211,x11213,x11212),x11212))
% 1.46/1.49 [1311]~P45(x13112)+E(x13111,f3(x13112))+E(x13113,f3(x13112))+E(f13(f13(f10(x13113,x13112),f11(x13113,x13111,x13112),x13112),f10(x13111,x13112),x13112),f11(f10(x13113,x13112),f10(x13111,x13112),x13112))
% 1.46/1.49 [1312]~P45(x13122)+E(x13121,f3(x13122))+E(x13123,f3(x13122))+E(f13(f13(f10(x13123,x13122),f7(x13121,x13123,x13122),x13122),f10(x13121,x13122),x13122),f7(f10(x13123,x13122),f10(x13121,x13122),x13122))
% 1.46/1.49 [1313]~P47(x13132)+E(x13131,f3(x13132))+E(x13133,f3(x13132))+E(f13(f13(f11(x13133,x13131,x13132),f10(x13133,x13132),x13132),f10(x13131,x13132),x13132),f11(f10(x13133,x13132),f10(x13131,x13132),x13132))
% 1.46/1.49 [1384]~P55(x13843)+~P12(x13841,f12(x13843),x13843)+~P12(f3(x13843),x13841,x13843)+P12(f13(x13841,f15(x13841,x13842,x13843),x13843),f15(x13841,x13842,x13843),x13843)
% 1.46/1.49 [765]~P35(x7653)+~P12(x7651,x7654,x7653)+P12(x7651,x7652,x7653)+~P12(x7654,x7652,x7653)
% 1.46/1.49 [766]~P35(x7663)+~P14(x7661,x7664,x7663)+P12(x7661,x7662,x7663)+~P12(x7664,x7662,x7663)
% 1.46/1.49 [767]~P35(x7673)+~P14(x7674,x7672,x7673)+P12(x7671,x7672,x7673)+~P12(x7671,x7674,x7673)
% 1.46/1.49 [768]~P36(x7683)+~P12(x7681,x7684,x7683)+P12(x7681,x7682,x7683)+~P12(x7684,x7682,x7683)
% 1.46/1.49 [769]~P36(x7693)+~P14(x7691,x7694,x7693)+P12(x7691,x7692,x7693)+~P12(x7694,x7692,x7693)
% 1.46/1.49 [770]~P36(x7703)+~P14(x7704,x7702,x7703)+P12(x7701,x7702,x7703)+~P12(x7701,x7704,x7703)
% 1.46/1.49 [771]~P3(x7713)+~P13(x7711,x7714,x7713)+P13(x7711,x7712,x7713)+~P13(x7714,x7712,x7713)
% 1.46/1.49 [772]~P35(x7723)+~P14(x7721,x7724,x7723)+P14(x7721,x7722,x7723)+~P14(x7724,x7722,x7723)
% 1.46/1.49 [773]~P36(x7733)+~P14(x7731,x7734,x7733)+P14(x7731,x7732,x7733)+~P14(x7734,x7732,x7733)
% 1.46/1.49 [684]~P2(x6844)+~P15(x6844)+E(x6841,x6842)+~E(f11(x6843,x6841,x6844),f11(x6843,x6842,x6844))
% 1.46/1.49 [838]~P55(x8384)+E(x8381,x8382)+~P12(f12(x8384),x8383,x8384)+~E(f15(x8383,x8381,x8384),f15(x8383,x8382,x8384))
% 1.46/1.49 [961]~P3(x9614)+~P13(x9611,x9613,x9614)+~P13(x9611,x9612,x9614)+P13(x9611,f11(x9612,x9613,x9614),x9614)
% 1.46/1.49 [963]~P9(x9634)+~P13(x9631,x9633,x9634)+~P13(x9631,x9632,x9634)+P13(x9631,f5(x9632,x9633,x9634),x9634)
% 1.46/1.49 [964]~P43(x9644)+~P13(x9641,x9643,x9644)+~P13(x9641,x9642,x9644)+P13(x9641,f7(x9642,x9643,x9644),x9644)
% 1.46/1.49 [987]~P55(x9874)+~P12(x9871,x9873,x9874)+~P12(f3(x9874),x9872,x9874)+P12(x9871,f11(x9872,x9873,x9874),x9874)
% 1.46/1.49 [1065]~P1(x10653)+~P14(x10652,x10654,x10653)+P14(f15(x10652,x10651,x10653),f15(x10654,x10651,x10653),x10653)+P11(x10651,a18)
% 1.46/1.49 [1109]~P9(x11093)+P13(x11091,x11092,x11093)+~P13(x11091,x11094,x11093)+~P13(x11091,f5(x11092,x11094,x11093),x11093)
% 1.46/1.49 [1181]~P55(x11813)+~P12(x11812,x11814,a18)+~P12(f12(x11813),x11811,x11813)+P12(f15(x11811,x11812,x11813),f15(x11811,x11814,x11813),x11813)
% 1.46/1.49 [1182]~P55(x11823)+~P14(x11822,x11824,a18)+~P12(f12(x11823),x11821,x11823)+P14(f15(x11821,x11822,x11823),f15(x11821,x11824,x11823),x11823)
% 1.46/1.49 [1183]~P55(x11833)+~P14(x11832,x11834,a18)+~P14(f12(x11833),x11831,x11833)+P14(f15(x11831,x11832,x11833),f15(x11831,x11834,x11833),x11833)
% 1.46/1.49 [1187]~P56(x11873)+~P12(x11874,x11871,x11873)+~P12(x11872,f3(x11873),x11873)+P12(f13(x11871,x11872,x11873),f13(x11874,x11872,x11873),x11873)
% 1.46/1.49 [1190]~P56(x11903)+~P12(x11904,x11902,x11903)+~P12(x11901,f3(x11903),x11903)+P12(f13(x11901,x11902,x11903),f13(x11901,x11904,x11903),x11903)
% 1.46/1.49 [1191]~P54(x11913)+~P12(x11914,x11911,x11913)+~P12(x11912,f3(x11913),x11913)+P12(f8(x11911,x11912,x11913),f8(x11914,x11912,x11913),x11913)
% 1.46/1.49 [1192]~P60(x11923)+~P14(x11924,x11921,x11923)+~P14(x11922,f3(x11923),x11923)+P14(f13(x11921,x11922,x11923),f13(x11924,x11922,x11923),x11923)
% 1.46/1.49 [1193]~P56(x11933)+~P14(x11934,x11932,x11933)+~P12(x11931,f3(x11933),x11933)+P14(f13(x11931,x11932,x11933),f13(x11931,x11934,x11933),x11933)
% 1.46/1.49 [1194]~P60(x11943)+~P14(x11944,x11942,x11943)+~P14(x11941,f3(x11943),x11943)+P14(f13(x11941,x11942,x11943),f13(x11941,x11944,x11943),x11943)
% 1.46/1.49 [1195]~P56(x11953)+~P12(x11951,x11954,x11953)+~P12(f3(x11953),x11952,x11953)+P12(f13(x11951,x11952,x11953),f13(x11954,x11952,x11953),x11953)
% 1.46/1.49 [1196]~P57(x11963)+~P12(x11961,x11964,x11963)+~P12(f3(x11963),x11962,x11963)+P12(f13(x11961,x11962,x11963),f13(x11964,x11962,x11963),x11963)
% 1.46/1.49 [1198]~P56(x11983)+~P12(x11982,x11984,x11983)+~P12(f3(x11983),x11981,x11983)+P12(f13(x11981,x11982,x11983),f13(x11981,x11984,x11983),x11983)
% 1.46/1.49 [1199]~P57(x11993)+~P12(x11992,x11994,x11993)+~P12(f3(x11993),x11991,x11993)+P12(f13(x11991,x11992,x11993),f13(x11991,x11994,x11993),x11993)
% 1.46/1.49 [1200]~P49(x12003)+~P12(x12002,x12004,x12003)+~P12(f3(x12003),x12001,x12003)+P12(f13(x12001,x12002,x12003),f13(x12001,x12004,x12003),x12003)
% 1.46/1.49 [1201]~P54(x12013)+~P12(x12011,x12014,x12013)+~P12(f3(x12013),x12012,x12013)+P12(f8(x12011,x12012,x12013),f8(x12014,x12012,x12013),x12013)
% 1.46/1.49 [1202]~P52(x12023)+~P14(x12021,x12024,x12023)+~P14(f3(x12023),x12022,x12023)+P14(f13(x12021,x12022,x12023),f13(x12024,x12022,x12023),x12023)
% 1.46/1.49 [1203]~P56(x12033)+~P14(x12032,x12034,x12033)+~P12(f3(x12033),x12031,x12033)+P14(f13(x12031,x12032,x12033),f13(x12031,x12034,x12033),x12033)
% 1.46/1.49 [1204]~P51(x12043)+~P14(x12042,x12044,x12043)+~P14(f3(x12043),x12041,x12043)+P14(f13(x12041,x12042,x12043),f13(x12041,x12044,x12043),x12043)
% 1.46/1.49 [1205]~P52(x12053)+~P14(x12052,x12054,x12053)+~P14(f3(x12053),x12051,x12053)+P14(f13(x12051,x12052,x12053),f13(x12051,x12054,x12053),x12053)
% 1.46/1.49 [1206]~P55(x12063)+~P14(x12061,x12064,x12063)+~P14(f3(x12063),x12061,x12063)+P14(f15(x12061,x12062,x12063),f15(x12064,x12062,x12063),x12063)
% 1.46/1.49 [1212]~P1(x12123)+~P14(f9(x12121,x12123),f9(x12124,x12123),x12123)+P14(f15(x12121,x12122,x12123),f15(x12124,x12122,x12123),x12123)+~P11(x12122,a18)
% 1.46/1.49 [1235]~P2(x12352)+P13(x12353,x12354,x12352)+~P13(f13(x12351,x12353,x12352),f13(x12351,x12354,x12352),x12352)+E(x12351,f3(x12352))
% 1.46/1.49 [1236]~P2(x12362)+P13(x12363,x12364,x12362)+~P13(f13(x12363,x12361,x12362),f13(x12364,x12361,x12362),x12362)+E(x12361,f3(x12362))
% 1.46/1.49 [1254]~P54(x12544)+~P12(f3(x12544),x12543,x12544)+~P12(f13(x12541,x12543,x12544),x12542,x12544)+P12(x12541,f8(x12542,x12543,x12544),x12544)
% 1.46/1.49 [1255]~P54(x12554)+~P12(f3(x12554),x12553,x12554)+~P14(f13(x12551,x12553,x12554),x12552,x12554)+P14(x12551,f8(x12552,x12553,x12554),x12554)
% 1.46/1.49 [1256]~P54(x12563)+~P12(f3(x12563),x12562,x12563)+~P12(x12561,f13(x12564,x12562,x12563),x12563)+P12(f8(x12561,x12562,x12563),x12564,x12563)
% 1.46/1.49 [1257]~P54(x12573)+~P12(f3(x12573),x12572,x12573)+~P14(x12571,f13(x12574,x12572,x12573),x12573)+P14(f8(x12571,x12572,x12573),x12574,x12573)
% 1.46/1.49 [1272]P12(x12722,x12721,x12723)+~P56(x12723)+P12(x12721,x12722,x12723)+~P12(f13(x12724,x12721,x12723),f13(x12724,x12722,x12723),x12723)
% 1.46/1.49 [1273]P12(x12732,x12731,x12733)+~P56(x12733)+P12(x12731,x12732,x12733)+~P12(f13(x12731,x12734,x12733),f13(x12732,x12734,x12733),x12733)
% 1.46/1.49 [1286]~P56(x12863)+P12(x12861,x12862,x12863)+~P12(f13(x12861,x12864,x12863),f13(x12862,x12864,x12863),x12863)+P12(x12864,f3(x12863),x12863)
% 1.46/1.49 [1287]~P56(x12873)+P12(x12871,x12872,x12873)+~P12(f13(x12874,x12871,x12873),f13(x12874,x12872,x12873),x12873)+P12(x12874,f3(x12873),x12873)
% 1.46/1.49 [1288]~P56(x12883)+P12(x12881,x12882,x12883)+~P12(f13(x12884,x12882,x12883),f13(x12884,x12881,x12883),x12883)+P12(f3(x12883),x12884,x12883)
% 1.46/1.49 [1289]~P56(x12893)+P12(x12891,x12892,x12893)+~P12(f13(x12892,x12894,x12893),f13(x12891,x12894,x12893),x12893)+P12(f3(x12893),x12894,x12893)
% 1.46/1.49 [1294]~P56(x12942)+~P12(f13(x12943,x12941,x12942),f13(x12944,x12941,x12942),x12942)+P12(x12941,f3(x12942),x12942)+P12(f3(x12942),x12941,x12942)
% 1.46/1.49 [1295]~P56(x12952)+~P12(f13(x12951,x12953,x12952),f13(x12951,x12954,x12952),x12952)+P12(x12951,f3(x12952),x12952)+P12(f3(x12952),x12951,x12952)
% 1.46/1.49 [1315]~P55(x13153)+~P12(f15(x13154,x13151,x13153),f15(x13154,x13152,x13153),x13153)+P12(x13151,x13152,a18)+~P12(f12(x13153),x13154,x13153)
% 1.46/1.49 [1317]~P55(x13173)+~P14(f15(x13174,x13171,x13173),f15(x13174,x13172,x13173),x13173)+P14(x13171,x13172,a18)+~P12(f12(x13173),x13174,x13173)
% 1.46/1.49 [1318]~P56(x13183)+P12(x13181,x13182,x13183)+~P12(f13(x13184,x13182,x13183),f13(x13184,x13181,x13183),x13183)+~P12(x13184,f3(x13183),x13183)
% 1.46/1.49 [1319]~P56(x13193)+P14(x13191,x13192,x13193)+~P14(f13(x13194,x13192,x13193),f13(x13194,x13191,x13193),x13193)+~P12(x13194,f3(x13193),x13193)
% 1.46/1.49 [1320]~P55(x13203)+P12(x13201,x13202,x13203)+~P14(f3(x13203),x13202,x13203)+~P12(f15(x13201,x13204,x13203),f15(x13202,x13204,x13203),x13203)
% 1.46/1.49 [1321]~P56(x13213)+P12(x13211,x13212,x13213)+~P12(f13(x13214,x13211,x13213),f13(x13214,x13212,x13213),x13213)+~P12(f3(x13213),x13214,x13213)
% 1.46/1.49 [1322]~P57(x13223)+P12(x13221,x13222,x13223)+~P12(f13(x13224,x13221,x13223),f13(x13224,x13222,x13223),x13223)+~P14(f3(x13223),x13224,x13223)
% 1.46/1.49 [1323]~P57(x13233)+P12(x13231,x13232,x13233)+~P12(f13(x13231,x13234,x13233),f13(x13232,x13234,x13233),x13233)+~P14(f3(x13233),x13234,x13233)
% 1.46/1.49 [1324]~P58(x13243)+P12(x13241,x13242,x13243)+~P12(f13(x13244,x13241,x13243),f13(x13244,x13242,x13243),x13243)+~P14(f3(x13243),x13244,x13243)
% 1.46/1.49 [1325]~P58(x13253)+P12(x13251,x13252,x13253)+~P12(f13(x13251,x13254,x13253),f13(x13252,x13254,x13253),x13253)+~P14(f3(x13253),x13254,x13253)
% 1.46/1.49 [1326]~P56(x13263)+P14(x13261,x13262,x13263)+~P14(f13(x13264,x13261,x13263),f13(x13264,x13262,x13263),x13263)+~P12(f3(x13263),x13264,x13263)
% 1.46/1.49 [1327]~P57(x13273)+P14(x13271,x13272,x13273)+~P14(f13(x13274,x13271,x13273),f13(x13274,x13272,x13273),x13273)+~P12(f3(x13273),x13274,x13273)
% 1.46/1.49 [1328]~P57(x13283)+P14(x13281,x13282,x13283)+~P14(f13(x13281,x13284,x13283),f13(x13282,x13284,x13283),x13283)+~P12(f3(x13283),x13284,x13283)
% 1.46/1.49 [967]~P46(x9672)+~P47(x9672)+E(x9671,f3(x9672))+E(f8(f13(x9673,x9671,x9672),f13(x9674,x9671,x9672),x9672),f8(x9673,x9674,x9672))
% 1.46/1.49 [968]~P46(x9682)+~P47(x9682)+E(x9681,f3(x9682))+E(f8(f13(x9681,x9683,x9682),f13(x9681,x9684,x9682),x9682),f8(x9683,x9684,x9682))
% 1.46/1.49 [1258]~P47(x12582)+~P14(x12584,x12583,a18)+E(x12581,f3(x12582))+E(f8(f15(x12581,x12583,x12582),f15(x12581,x12584,x12582),x12582),f15(x12581,f7(x12583,x12584,a18),x12582))
% 1.46/1.49 [1354]~P55(x13543)+P14(x13541,x13542,x13543)+~P14(f3(x13543),x13542,x13543)+~P14(f15(x13541,f14(x13544),x13543),f15(x13542,f14(x13544),x13543),x13543)
% 1.46/1.49 [1444]~P1(x14443)+~P12(x14441,f11(x14442,x14444,x14443),x14443)+~P12(f7(x14442,x14444,x14443),x14441,x14443)+P12(f9(f7(x14441,x14442,x14443),x14443),x14444,x14443)
% 1.46/1.49 [1305]~P46(x13052)+~P47(x13052)+E(x13051,f3(x13052))+E(f8(f11(x13053,f13(x13054,x13051,x13052),x13052),x13051,x13052),f11(x13054,f8(x13053,x13051,x13052),x13052))
% 1.46/1.49 [1306]~P46(x13062)+~P47(x13062)+E(x13061,f3(x13062))+E(f8(f11(x13063,f13(x13064,x13061,x13062),x13062),x13061,x13062),f11(f8(x13063,x13061,x13062),x13064,x13062))
% 1.46/1.49 [910]~P29(x9103)+~P12(x9104,x9105,x9103)+P12(x9101,x9102,x9103)+~E(f7(x9104,x9105,x9103),f7(x9101,x9102,x9103))
% 1.46/1.49 [911]~P29(x9113)+~P12(x9114,x9115,x9113)+P12(x9111,x9112,x9113)+~E(f7(x9111,x9112,x9113),f7(x9114,x9115,x9113))
% 1.46/1.49 [912]~P29(x9123)+~P14(x9125,x9124,x9123)+P14(x9121,x9122,x9123)+~E(f7(x9124,x9125,x9123),f7(x9122,x9121,x9123))
% 1.46/1.49 [913]~P29(x9133)+~P14(x9135,x9134,x9133)+P14(x9131,x9132,x9133)+~E(f7(x9132,x9131,x9133),f7(x9134,x9135,x9133))
% 1.46/1.49 [1168]~P3(x11683)+~P13(x11681,x11684,x11683)+~P14(x11682,x11685,a18)+P13(f15(x11681,x11682,x11683),f15(x11684,x11685,x11683),x11683)
% 1.46/1.49 [1169]~P31(x11693)+~P12(x11692,x11695,x11693)+~P12(x11691,x11694,x11693)+P12(f11(x11691,x11692,x11693),f11(x11694,x11695,x11693),x11693)
% 1.46/1.49 [1170]~P31(x11703)+~P12(x11702,x11705,x11703)+~P14(x11701,x11704,x11703)+P12(f11(x11701,x11702,x11703),f11(x11704,x11705,x11703),x11703)
% 1.46/1.49 [1171]~P31(x11713)+~P12(x11711,x11714,x11713)+~P14(x11712,x11715,x11713)+P12(f11(x11711,x11712,x11713),f11(x11714,x11715,x11713),x11713)
% 1.46/1.49 [1172]~P3(x11723)+~P13(x11722,x11725,x11723)+~P13(x11721,x11724,x11723)+P13(f13(x11721,x11722,x11723),f13(x11724,x11725,x11723),x11723)
% 1.46/1.49 [1173]~P33(x11733)+~P14(x11732,x11735,x11733)+~P14(x11731,x11734,x11733)+P14(f11(x11731,x11732,x11733),f11(x11734,x11735,x11733),x11733)
% 1.46/1.49 [1244]~P3(x12443)+~P13(f15(x12441,x12445,x12443),x12444,x12443)+P13(f15(x12441,x12442,x12443),x12444,x12443)+~P14(x12442,x12445,a18)
% 1.46/1.49 [1245]~P29(x12454)+~P14(x12455,x12453,x12454)+~P14(x12451,f11(x12452,x12455,x12454),x12454)+P14(x12451,f11(x12452,x12453,x12454),x12454)
% 1.46/1.49 [1365]~P1(x13652)+~P12(f9(x13651,x13652),x13654,x13652)+~P12(f9(x13653,x13652),x13655,x13652)+P12(f13(f9(x13651,x13652),f9(x13653,x13652),x13652),f13(x13654,x13655,x13652),x13652)
% 1.46/1.49 [1461]~P47(x14612)+E(x14611,f3(x14612))+E(x14613,f3(x14612))+E(f8(f11(f13(x14614,x14611,x14612),f13(x14615,x14613,x14612),x14612),f13(x14613,x14611,x14612),x14612),f11(f8(x14614,x14613,x14612),f8(x14615,x14611,x14612),x14612))
% 1.46/1.49 [1462]~P47(x14622)+E(x14621,f3(x14622))+E(x14623,f3(x14622))+E(f8(f7(f13(x14624,x14621,x14622),f13(x14625,x14623,x14622),x14622),f13(x14623,x14621,x14622),x14622),f7(f8(x14624,x14623,x14622),f8(x14625,x14621,x14622),x14622))
% 1.46/1.49 [1381]~P9(x13813)+~E(f5(x13811,x13814,x13813),f5(x13815,x13814,x13813))+~E(f5(x13812,x13814,x13813),f5(x13816,x13814,x13813))+E(f5(f13(x13811,x13812,x13813),x13814,x13813),f5(f13(x13815,x13816,x13813),x13814,x13813))
% 1.46/1.49 [1382]~P9(x13823)+~E(f5(x13821,x13824,x13823),f5(x13825,x13824,x13823))+~E(f5(x13822,x13824,x13823),f5(x13826,x13824,x13823))+E(f5(f11(x13821,x13822,x13823),x13824,x13823),f5(f11(x13825,x13826,x13823),x13824,x13823))
% 1.46/1.49 [1383]~P10(x13833)+~E(f5(x13831,x13834,x13833),f5(x13835,x13834,x13833))+~E(f5(x13832,x13834,x13833),f5(x13836,x13834,x13833))+E(f5(f7(x13831,x13832,x13833),x13834,x13833),f5(f7(x13835,x13836,x13833),x13834,x13833))
% 1.46/1.49 [833]~P54(x8332)+~P46(x8332)+P12(f12(x8332),x8331,x8332)+~P12(f10(x8331,x8332),f12(x8332),x8332)+P14(x8331,f3(x8332),x8332)
% 1.46/1.49 [834]~P54(x8342)+~P46(x8342)+P14(f12(x8342),x8341,x8342)+~P14(f10(x8341,x8342),f12(x8342),x8342)+P14(x8341,f3(x8342),x8342)
% 1.46/1.49 [862]~P54(x8621)+~P46(x8621)+~P12(f3(x8621),x8622,x8621)+~P12(x8622,f12(x8621),x8621)+P12(f12(x8621),f10(x8622,x8621),x8621)
% 1.46/1.49 [863]~P54(x8631)+~P46(x8631)+~P12(f3(x8631),x8632,x8631)+~P14(x8632,f12(x8631),x8631)+P14(f12(x8631),f10(x8632,x8631),x8631)
% 1.46/1.49 [544]~P50(x5442)+~P70(x5442)+~P53(x5442)+~P38(x5442)+~E(f15(x5441,f3(a18),x5442),f3(x5442))
% 1.46/1.49 [399]~P45(x3993)+E(x3991,x3992)+~E(f10(x3991,x3993),f10(x3992,x3993))+E(x3992,f3(x3993))+E(x3991,f3(x3993))
% 1.46/1.49 [855]~P1(x8553)+~P14(x8552,f3(x8553),x8553)+P14(f15(x8552,x8551,x8553),f3(x8553),x8553)+P11(x8551,a18)+E(x8551,f3(a18))
% 1.46/1.49 [876]~P30(x8762)+~P14(f3(x8762),x8761,x8762)+~P14(f3(x8762),x8763,x8762)+~E(f11(x8763,x8761,x8762),f3(x8762))+E(x8761,f3(x8762))
% 1.46/1.49 [877]~P30(x8772)+~P14(f3(x8772),x8773,x8772)+~P14(f3(x8772),x8771,x8772)+~E(f11(x8771,x8773,x8772),f3(x8772))+E(x8771,f3(x8772))
% 1.46/1.49 [985]~P1(x9852)+~P12(f3(x9852),f15(x9853,x9851,x9852),x9852)+P12(f3(x9852),x9853,x9852)+P11(x9851,a18)+E(x9851,f3(a18))
% 1.46/1.49 [1058]~P54(x10581)+~P46(x10581)+~P14(x10583,f3(x10581),x10581)+~P14(x10582,f3(x10581),x10581)+P14(f3(x10581),f8(x10582,x10583,x10581),x10581)
% 1.46/1.49 [1060]~P54(x10601)+~P46(x10601)+~P14(f3(x10601),x10603,x10601)+~P14(f3(x10601),x10602,x10601)+P14(f3(x10601),f8(x10602,x10603,x10601),x10601)
% 1.46/1.49 [1063]~P54(x10633)+~P46(x10633)+~P14(x10632,f3(x10633),x10633)+~P14(f3(x10633),x10631,x10633)+P14(f8(x10631,x10632,x10633),f3(x10633),x10633)
% 1.46/1.49 [1064]~P54(x10643)+~P46(x10643)+~P14(x10641,f3(x10643),x10643)+~P14(f3(x10643),x10642,x10643)+P14(f8(x10641,x10642,x10643),f3(x10643),x10643)
% 1.46/1.49 [1091]~P54(x10912)+~P46(x10912)+~P12(f8(x10913,x10911,x10912),f3(x10912),x10912)+P12(x10911,f3(x10912),x10912)+P12(x10913,f3(x10912),x10912)
% 1.46/1.49 [1092]~P54(x10922)+~P46(x10922)+~P14(f8(x10923,x10921,x10922),f3(x10922),x10922)+P14(x10921,f3(x10922),x10922)+P14(x10923,f3(x10922),x10922)
% 1.46/1.49 [1093]~P54(x10932)+~P46(x10932)+~P12(f3(x10932),f8(x10933,x10931,x10932),x10932)+P12(x10931,f3(x10932),x10932)+P12(f3(x10932),x10933,x10932)
% 1.46/1.49 [1094]~P54(x10942)+~P46(x10942)+~P12(f3(x10942),f8(x10941,x10943,x10942),x10942)+P12(x10941,f3(x10942),x10942)+P12(f3(x10942),x10943,x10942)
% 1.46/1.49 [1095]~P54(x10952)+~P46(x10952)+~P12(f3(x10952),f8(x10953,x10951,x10952),x10952)+P12(x10951,f3(x10952),x10952)+P12(f3(x10952),x10951,x10952)
% 1.46/1.49 [1096]~P54(x10962)+~P46(x10962)+~P12(f3(x10962),f8(x10961,x10963,x10962),x10962)+P12(x10961,f3(x10962),x10962)+P12(f3(x10962),x10961,x10962)
% 1.46/1.49 [1097]~P54(x10972)+~P46(x10972)+~P14(f3(x10972),f8(x10973,x10971,x10972),x10972)+P14(x10971,f3(x10972),x10972)+P14(f3(x10972),x10973,x10972)
% 1.46/1.49 [1098]~P54(x10982)+~P46(x10982)+~P14(f3(x10982),f8(x10981,x10983,x10982),x10982)+P14(x10981,f3(x10982),x10982)+P14(f3(x10982),x10983,x10982)
% 1.46/1.49 [1099]~P54(x10992)+~P46(x10992)+~P14(f3(x10992),f8(x10993,x10991,x10992),x10992)+P14(x10991,f3(x10992),x10992)+P14(f3(x10992),x10991,x10992)
% 1.46/1.49 [1100]~P54(x11002)+~P46(x11002)+~P14(f3(x11002),f8(x11001,x11003,x11002),x11002)+P14(x11001,f3(x11002),x11002)+P14(f3(x11002),x11001,x11002)
% 1.46/1.49 [1101]~P54(x11012)+~P46(x11012)+~P12(f8(x11013,x11011,x11012),f3(x11012),x11012)+P12(x11011,f3(x11012),x11012)+P12(f3(x11012),x11011,x11012)
% 1.46/1.49 [1102]~P54(x11022)+~P46(x11022)+~P12(f8(x11021,x11023,x11022),f3(x11022),x11022)+P12(x11021,f3(x11022),x11022)+P12(f3(x11022),x11021,x11022)
% 1.46/1.49 [1103]~P54(x11032)+~P46(x11032)+~P14(f8(x11033,x11031,x11032),f3(x11032),x11032)+P14(x11031,f3(x11032),x11032)+P14(f3(x11032),x11031,x11032)
% 1.46/1.49 [1104]~P54(x11042)+~P46(x11042)+~P14(f8(x11041,x11043,x11042),f3(x11042),x11042)+P14(x11041,f3(x11042),x11042)+P14(f3(x11042),x11041,x11042)
% 1.46/1.49 [1105]~P54(x11051)+~P46(x11051)+~P12(f8(x11052,x11053,x11051),f3(x11051),x11051)+P12(f3(x11051),x11052,x11051)+P12(f3(x11051),x11053,x11051)
% 1.46/1.49 [1106]~P54(x11061)+~P46(x11061)+~P14(f8(x11062,x11063,x11061),f3(x11061),x11061)+P14(f3(x11061),x11062,x11061)+P14(f3(x11061),x11063,x11061)
% 1.46/1.49 [1184]~P1(x11843)+~P14(x11841,f12(x11843),x11843)+~P14(f3(x11843),x11842,x11843)+~P14(f3(x11843),x11841,x11843)+P14(f13(x11841,x11842,x11843),x11842,x11843)
% 1.46/1.49 [1185]~P1(x11853)+~P14(x11852,f12(x11853),x11853)+~P14(f3(x11853),x11852,x11853)+~P14(f3(x11853),x11851,x11853)+P14(f13(x11851,x11852,x11853),x11851,x11853)
% 1.46/1.49 [542]~P8(x5422)+~P46(x5422)+~P47(x5422)+~E(f17(x5421,x5422),f3(x5422))+E(f17(x5421,x5422),f8(x5423,f3(x5422),x5422))
% 1.46/1.49 [543]~P8(x5432)+~P46(x5432)+~P47(x5432)+~E(f17(x5433,x5432),f3(x5432))+E(f8(x5431,f3(x5432),x5432),f17(x5433,x5432))
% 1.46/1.49 [549]~P8(x5493)+~P46(x5493)+~P47(x5493)+~E(f17(x5492,x5493),f3(x5493))+E(f8(x5491,f17(x5492,x5493),x5493),f3(x5493))
% 1.46/1.49 [611]~P8(x6112)+~P46(x6112)+~P47(x6112)+E(f17(x6111,x6112),f3(x6112))+~E(f17(x6111,x6112),f8(x6113,f3(x6112),x6112))
% 1.46/1.49 [612]~P8(x6122)+~P46(x6122)+~P47(x6122)+E(f17(x6121,x6122),f3(x6122))+~E(f8(x6123,f3(x6122),x6122),f17(x6121,x6122))
% 1.46/1.49 [843]~P8(x8432)+~P46(x8432)+~P47(x8432)+~E(f17(x8431,x8432),f3(x8432))+E(f8(f13(f17(x8431,x8432),x8433,x8432),x8433,x8432),f17(x8431,x8432))
% 1.46/1.49 [996]~P24(x9964)+~P32(x9964)+~P12(x9961,x9963,x9964)+~P14(f3(x9964),x9962,x9964)+P12(x9961,f11(x9962,x9963,x9964),x9964)
% 1.46/1.49 [997]~P24(x9974)+~P32(x9974)+~P14(x9971,x9973,x9974)+~P12(f3(x9974),x9972,x9974)+P12(x9971,f11(x9972,x9973,x9974),x9974)
% 1.46/1.49 [998]~P24(x9984)+~P32(x9984)+~P14(x9981,x9983,x9984)+~P14(f3(x9984),x9982,x9984)+P14(x9981,f11(x9982,x9983,x9984),x9984)
% 1.46/1.49 [999]~P24(x9994)+~P32(x9994)+~P14(x9991,x9992,x9994)+~P14(f3(x9994),x9993,x9994)+P14(x9991,f11(x9992,x9993,x9994),x9994)
% 1.46/1.49 [1213]~P54(x12133)+~P46(x12133)+~P14(x12134,x12131,x12133)+~P14(x12132,f3(x12133),x12133)+P14(f8(x12131,x12132,x12133),f8(x12134,x12132,x12133),x12133)
% 1.46/1.49 [1214]~P54(x12143)+~P46(x12143)+~P14(x12141,x12144,x12143)+~P14(f3(x12143),x12142,x12143)+P14(f8(x12141,x12142,x12143),f8(x12144,x12142,x12143),x12143)
% 1.46/1.49 [1263]~P54(x12634)+~P46(x12634)+~P12(f3(x12634),x12633,x12634)+~P12(f8(x12631,x12633,x12634),x12632,x12634)+P12(x12631,f13(x12632,x12633,x12634),x12634)
% 1.46/1.49 [1265]~P54(x12654)+~P46(x12654)+~P12(f3(x12654),x12653,x12654)+~P14(f8(x12651,x12653,x12654),x12652,x12654)+P14(x12651,f13(x12652,x12653,x12654),x12654)
% 1.46/1.49 [1267]~P54(x12673)+~P46(x12673)+~P12(f3(x12673),x12672,x12673)+~P12(x12671,f8(x12674,x12672,x12673),x12673)+P12(f13(x12671,x12672,x12673),x12674,x12673)
% 1.46/1.49 [1269]~P54(x12693)+~P46(x12693)+~P12(f3(x12693),x12692,x12693)+~P14(x12691,f8(x12694,x12692,x12693),x12693)+P14(f13(x12691,x12692,x12693),x12694,x12693)
% 1.46/1.49 [1290]~P55(x12903)+~P12(x12901,x12904,x12903)+~P14(f3(x12903),x12901,x12903)+P12(f15(x12901,x12902,x12903),f15(x12904,x12902,x12903),x12903)+~P12(f3(a18),x12902,a18)
% 1.46/1.49 [1296]~P55(x12963)+~P12(x12964,x12962,a18)+~P12(x12961,f12(x12963),x12963)+~P12(f3(x12963),x12961,x12963)+P12(f15(x12961,x12962,x12963),f15(x12961,x12964,x12963),x12963)
% 1.46/1.49 [1297]~P55(x12973)+~P14(x12974,x12972,a18)+~P14(x12971,f12(x12973),x12973)+~P14(f3(x12973),x12971,x12973)+P14(f15(x12971,x12972,x12973),f15(x12971,x12974,x12973),x12973)
% 1.46/1.49 [1402]~P54(x14023)+~P12(x14022,x14024,x14023)+~P12(x14021,f3(x14023),x14023)+~P12(f3(x14023),f13(x14022,x14024,x14023),x14023)+P12(f8(x14021,x14022,x14023),f8(x14021,x14024,x14023),x14023)
% 1.46/1.49 [1403]~P54(x14033)+~P12(x14034,x14032,x14033)+~P12(f3(x14033),x14031,x14033)+~P12(f3(x14033),f13(x14032,x14034,x14033),x14033)+P12(f8(x14031,x14032,x14033),f8(x14031,x14034,x14033),x14033)
% 1.46/1.49 [1404]~P54(x14043)+~P14(x14044,x14042,x14043)+~P14(f3(x14043),x14041,x14043)+~P12(f3(x14043),f13(x14042,x14044,x14043),x14043)+P14(f8(x14041,x14042,x14043),f8(x14041,x14044,x14043),x14043)
% 1.46/1.49 [1071]~P55(x10714)+E(x10711,x10712)+~P14(f3(x10714),x10712,x10714)+~P14(f3(x10714),x10711,x10714)+~E(f15(x10711,f14(x10713),x10714),f15(x10712,f14(x10713),x10714))
% 1.46/1.49 [878]~P47(x8782)+~E(f8(x8784,x8783,x8782),f8(x8785,x8781,x8782))+E(f13(x8784,x8781,x8782),f13(x8785,x8783,x8782))+E(x8781,f3(x8782))+E(x8783,f3(x8782))
% 1.46/1.49 [879]~P47(x8792)+~E(f13(x8794,x8793,x8792),f13(x8795,x8791,x8792))+E(f8(x8794,x8791,x8792),f8(x8795,x8793,x8792))+E(x8791,f3(x8792))+E(x8793,f3(x8792))
% 1.46/1.49 [1271]~P2(x12714)+~P15(x12714)+E(x12711,x12712)+E(x12713,f3(x12714))+~E(f11(x12715,f13(x12713,x12711,x12714),x12714),f11(x12715,f13(x12713,x12712,x12714),x12714))
% 1.46/1.49 [1448]~P2(x14485)+~P15(x14485)+E(x14481,x14482)+E(x14483,x14484)+~E(f11(f13(x14483,x14481,x14485),f13(x14484,x14482,x14485),x14485),f11(f13(x14483,x14482,x14485),f13(x14484,x14481,x14485),x14485))
% 1.46/1.49 [1481]~P44(x14815)+~P34(x14815)+~P13(x14811,x14814,x14815)+~P13(x14811,f11(x14812,x14816,x14815),x14815)+P13(x14811,f11(f7(x14812,f13(x14813,x14814,x14815),x14815),x14816,x14815),x14815)
% 1.46/1.49 [1482]~P44(x14824)+~P34(x14824)+~P13(x14821,x14825,x14824)+P13(x14821,f11(x14822,x14823,x14824),x14824)+~P13(x14821,f11(f7(x14822,f13(x14826,x14825,x14824),x14824),x14823,x14824),x14824)
% 1.46/1.49 [484]~P50(x4842)+~P70(x4842)+~P53(x4842)+~P38(x4842)+E(x4841,f3(a18))+E(f15(f3(x4842),x4841,x4842),f3(x4842))
% 1.46/1.49 [546]~P50(x5462)+~P70(x5462)+~P53(x5462)+~P38(x5462)+~E(f15(x5461,x5463,x5462),f3(x5462))+E(x5461,f3(x5462))
% 1.46/1.49 [669]~P50(x6693)+~P70(x6693)+~P53(x6693)+~P38(x6693)+~E(f17(x6691,a18),f3(a18))+~E(f15(x6692,f17(x6691,a18),x6693),f3(x6693))
% 1.46/1.49 [1080]~P54(x10802)+~P46(x10802)+P12(x10801,f3(x10802),x10802)+P12(f3(x10802),x10801,x10802)+~P12(x10803,f3(x10802),x10802)+P12(x10803,f8(x10804,x10801,x10802),x10802)
% 1.46/1.49 [1081]~P54(x10812)+~P46(x10812)+P12(x10811,f3(x10812),x10812)+P12(f3(x10812),x10811,x10812)+~P14(x10813,f3(x10812),x10812)+P14(x10813,f8(x10814,x10811,x10812),x10812)
% 1.46/1.49 [1082]~P54(x10822)+~P46(x10822)+P12(x10821,f3(x10822),x10822)+P12(f3(x10822),x10821,x10822)+~P12(f3(x10822),x10824,x10822)+P12(f8(x10823,x10821,x10822),x10824,x10822)
% 1.46/1.49 [1083]~P54(x10832)+~P46(x10832)+P12(x10831,f3(x10832),x10832)+P12(f3(x10832),x10831,x10832)+~P14(f3(x10832),x10834,x10832)+P14(f8(x10833,x10831,x10832),x10834,x10832)
% 1.46/1.49 [1175]~P54(x11752)+~P46(x11752)+P12(x11751,f3(x11752),x11752)+P12(f3(x11752),x11751,x11752)+~P12(x11753,f8(x11754,x11751,x11752),x11752)+P12(x11753,f3(x11752),x11752)
% 1.46/1.49 [1176]~P54(x11762)+~P46(x11762)+P12(x11761,f3(x11762),x11762)+P12(f3(x11762),x11761,x11762)+~P14(x11763,f8(x11764,x11761,x11762),x11762)+P14(x11763,f3(x11762),x11762)
% 1.46/1.49 [1177]~P54(x11772)+~P46(x11772)+P12(x11771,f3(x11772),x11772)+P12(f3(x11772),x11771,x11772)+~P12(f8(x11774,x11771,x11772),x11773,x11772)+P12(f3(x11772),x11773,x11772)
% 1.46/1.49 [1178]~P54(x11782)+~P46(x11782)+P12(x11781,f3(x11782),x11782)+P12(f3(x11782),x11781,x11782)+~P14(f8(x11784,x11781,x11782),x11783,x11782)+P14(f3(x11782),x11783,x11782)
% 1.46/1.49 [1207]~P55(x12074)+E(x12071,x12072)+~P14(f3(x12074),x12072,x12074)+~P14(f3(x12074),x12071,x12074)+~E(f15(x12071,x12073,x12074),f15(x12072,x12073,x12074))+~P12(f3(a18),x12073,a18)
% 1.46/1.49 [1330]~P54(x13302)+~P46(x13302)+~P12(f13(x13303,x13301,x13302),x13304,x13302)+P12(x13301,f3(x13302),x13302)+~P12(x13303,f3(x13302),x13302)+P12(x13303,f8(x13304,x13301,x13302),x13302)
% 1.46/1.49 [1331]~P54(x13312)+~P46(x13312)+~P14(f13(x13313,x13311,x13312),x13314,x13312)+P12(x13311,f3(x13312),x13312)+~P14(x13313,f3(x13312),x13312)+P14(x13313,f8(x13314,x13311,x13312),x13312)
% 1.46/1.49 [1332]~P54(x13322)+~P46(x13322)+~P12(x13323,f13(x13324,x13321,x13322),x13322)+P12(x13321,f3(x13322),x13322)+~P12(f3(x13322),x13324,x13322)+P12(f8(x13323,x13321,x13322),x13324,x13322)
% 1.46/1.49 [1333]~P54(x13332)+~P46(x13332)+~P14(x13333,f13(x13334,x13331,x13332),x13332)+P12(x13331,f3(x13332),x13332)+~P14(f3(x13332),x13334,x13332)+P14(f8(x13333,x13331,x13332),x13334,x13332)
% 1.46/1.49 [1334]~P54(x13341)+~P46(x13341)+~P12(x13344,f8(x13343,x13342,x13341),x13341)+~P12(x13342,f3(x13341),x13341)+P12(f3(x13341),x13342,x13341)+P12(x13343,f13(x13344,x13342,x13341),x13341)
% 1.46/1.49 [1335]~P54(x13351)+~P46(x13351)+~P12(x13354,f13(x13353,x13352,x13351),x13351)+~P12(x13352,f3(x13351),x13351)+P12(f3(x13351),x13352,x13351)+P12(x13353,f8(x13354,x13352,x13351),x13351)
% 1.46/1.49 [1336]~P54(x13361)+~P46(x13361)+~P12(x13364,f13(x13363,x13362,x13361),x13361)+~P12(x13363,f3(x13361),x13361)+P12(f3(x13361),x13362,x13361)+P12(x13363,f8(x13364,x13362,x13361),x13361)
% 1.46/1.49 [1337]~P54(x13371)+~P46(x13371)+~P14(x13374,f8(x13373,x13372,x13371),x13371)+~P12(x13372,f3(x13371),x13371)+P12(f3(x13371),x13372,x13371)+P14(x13373,f13(x13374,x13372,x13371),x13371)
% 1.46/1.49 [1338]~P54(x13381)+~P46(x13381)+~P14(x13384,f13(x13383,x13382,x13381),x13381)+~P12(x13382,f3(x13381),x13381)+P12(f3(x13381),x13382,x13381)+P14(x13383,f8(x13384,x13382,x13381),x13381)
% 1.46/1.49 [1339]~P54(x13391)+~P46(x13391)+~P14(x13394,f13(x13393,x13392,x13391),x13391)+~P14(x13393,f3(x13391),x13391)+P12(f3(x13391),x13392,x13391)+P14(x13393,f8(x13394,x13392,x13391),x13391)
% 1.46/1.49 [1340]~P54(x13401)+~P46(x13401)+~P12(f8(x13404,x13402,x13401),x13403,x13401)+~P12(x13402,f3(x13401),x13401)+P12(f3(x13401),x13402,x13401)+P12(f13(x13403,x13402,x13401),x13404,x13401)
% 1.46/1.49 [1341]~P54(x13411)+~P46(x13411)+~P12(f13(x13414,x13412,x13411),x13413,x13411)+~P12(x13412,f3(x13411),x13411)+P12(f3(x13411),x13412,x13411)+P12(f8(x13413,x13412,x13411),x13414,x13411)
% 1.46/1.49 [1342]~P54(x13421)+~P46(x13421)+~P14(f8(x13424,x13422,x13421),x13423,x13421)+~P12(x13422,f3(x13421),x13421)+P12(f3(x13421),x13422,x13421)+P14(f13(x13423,x13422,x13421),x13424,x13421)
% 1.46/1.49 [1343]~P54(x13431)+~P46(x13431)+~P14(f13(x13434,x13432,x13431),x13433,x13431)+~P12(x13432,f3(x13431),x13431)+P12(f3(x13431),x13432,x13431)+P14(f8(x13433,x13432,x13431),x13434,x13431)
% 1.46/1.49 [1344]~P54(x13441)+~P46(x13441)+~P12(f13(x13444,x13442,x13441),x13443,x13441)+~P12(f3(x13441),x13444,x13441)+P12(f3(x13441),x13442,x13441)+P12(f8(x13443,x13442,x13441),x13444,x13441)
% 1.46/1.49 [1345]~P54(x13451)+~P46(x13451)+~P14(f13(x13454,x13452,x13451),x13453,x13451)+~P14(f3(x13451),x13454,x13451)+P12(f3(x13451),x13452,x13451)+P14(f8(x13453,x13452,x13451),x13454,x13451)
% 1.46/1.49 [1405]~P54(x14053)+~P46(x14053)+~P14(x14052,x14054,x14053)+~P14(x14051,f3(x14053),x14053)+~P12(f3(x14053),f13(x14052,x14054,x14053),x14053)+P14(f8(x14051,x14052,x14053),f8(x14051,x14054,x14053),x14053)
% 1.46/1.49 [1428]~P54(x14284)+~P46(x14284)+~P12(x14283,f3(x14284),x14284)+~P12(x14282,f13(x14281,x14283,x14284),x14284)+~P12(f13(x14281,x14283,x14284),x14282,x14284)+P12(x14281,f8(x14282,x14283,x14284),x14284)
% 1.46/1.49 [1429]~P54(x14294)+~P46(x14294)+~P12(x14291,f3(x14294),x14294)+~P12(x14292,f13(x14291,x14293,x14294),x14294)+~P12(f13(x14291,x14293,x14294),x14292,x14294)+P12(x14291,f8(x14292,x14293,x14294),x14294)
% 1.46/1.49 [1430]~P54(x14304)+~P46(x14304)+~P12(x14303,f3(x14304),x14304)+~P14(x14302,f13(x14301,x14303,x14304),x14304)+~P14(f13(x14301,x14303,x14304),x14302,x14304)+P14(x14301,f8(x14302,x14303,x14304),x14304)
% 1.46/1.49 [1431]~P54(x14314)+~P46(x14314)+~P14(x14311,f3(x14314),x14314)+~P14(x14312,f13(x14311,x14313,x14314),x14314)+~P14(f13(x14311,x14313,x14314),x14312,x14314)+P14(x14311,f8(x14312,x14313,x14314),x14314)
% 1.46/1.49 [1432]~P54(x14323)+~P46(x14323)+~P12(x14322,f3(x14323),x14323)+~P12(x14321,f13(x14324,x14322,x14323),x14323)+~P12(f13(x14324,x14322,x14323),x14321,x14323)+P12(f8(x14321,x14322,x14323),x14324,x14323)
% 1.46/1.49 [1433]~P54(x14333)+~P46(x14333)+~P12(x14332,f3(x14333),x14333)+~P14(x14331,f13(x14334,x14332,x14333),x14333)+~P14(f13(x14334,x14332,x14333),x14331,x14333)+P14(f8(x14331,x14332,x14333),x14334,x14333)
% 1.46/1.49 [1434]~P54(x14343)+~P46(x14343)+~P12(f3(x14343),x14344,x14343)+~P12(x14341,f13(x14344,x14342,x14343),x14343)+~P12(f13(x14344,x14342,x14343),x14341,x14343)+P12(f8(x14341,x14342,x14343),x14344,x14343)
% 1.46/1.49 [1435]~P54(x14353)+~P46(x14353)+~P14(f3(x14353),x14354,x14353)+~P14(x14351,f13(x14354,x14352,x14353),x14353)+~P14(f13(x14354,x14352,x14353),x14351,x14353)+P14(f8(x14351,x14352,x14353),x14354,x14353)
% 1.46/1.49 [731]~P8(x7312)+~P46(x7312)+~P47(x7312)+~E(f8(x7313,x7311,x7312),f17(x7314,x7312))+E(x7311,f3(x7312))+E(x7313,f13(f17(x7314,x7312),x7311,x7312))
% 1.46/1.49 [732]~P8(x7322)+~P46(x7322)+~P47(x7322)+~E(f17(x7323,x7322),f8(x7324,x7321,x7322))+E(x7321,f3(x7322))+E(f13(f17(x7323,x7322),x7321,x7322),x7324)
% 1.46/1.49 [1366]~P57(x13663)+~P12(x13662,x13665,x13663)+~P12(x13661,x13664,x13663)+~P12(f3(x13663),x13664,x13663)+~P14(f3(x13663),x13662,x13663)+P12(f13(x13661,x13662,x13663),f13(x13664,x13665,x13663),x13663)
% 1.46/1.49 [1367]~P57(x13673)+~P12(x13672,x13675,x13673)+~P12(x13671,x13674,x13673)+~P14(f3(x13673),x13672,x13673)+~P14(f3(x13673),x13671,x13673)+P12(f13(x13671,x13672,x13673),f13(x13674,x13675,x13673),x13673)
% 1.46/1.49 [1368]~P57(x13683)+~P12(x13682,x13685,x13683)+~P14(x13681,x13684,x13683)+~P12(f3(x13683),x13681,x13683)+~P14(f3(x13683),x13682,x13683)+P12(f13(x13681,x13682,x13683),f13(x13684,x13685,x13683),x13683)
% 1.46/1.49 [1369]~P57(x13693)+~P12(x13691,x13694,x13693)+~P14(x13692,x13695,x13693)+~P12(f3(x13693),x13692,x13693)+~P14(f3(x13693),x13691,x13693)+P12(f13(x13691,x13692,x13693),f13(x13694,x13695,x13693),x13693)
% 1.46/1.49 [1370]~P54(x13703)+~P12(x13705,x13702,x13703)+~P14(x13701,x13704,x13703)+~P12(f3(x13703),x13705,x13703)+~P12(f3(x13703),x13701,x13703)+P12(f8(x13701,x13702,x13703),f8(x13704,x13705,x13703),x13703)
% 1.46/1.49 [1371]~P54(x13713)+~P12(x13711,x13714,x13713)+~P14(x13715,x13712,x13713)+~P12(f3(x13713),x13715,x13713)+~P14(f3(x13713),x13711,x13713)+P12(f8(x13711,x13712,x13713),f8(x13714,x13715,x13713),x13713)
% 1.46/1.49 [1372]~P63(x13723)+~P14(x13722,x13725,x13723)+~P14(x13721,x13724,x13723)+~P14(f3(x13723),x13724,x13723)+~P14(f3(x13723),x13722,x13723)+P14(f13(x13721,x13722,x13723),f13(x13724,x13725,x13723),x13723)
% 1.46/1.49 [1373]~P63(x13733)+~P14(x13732,x13735,x13733)+~P14(x13731,x13734,x13733)+~P14(f3(x13733),x13732,x13733)+~P14(f3(x13733),x13731,x13733)+P14(f13(x13731,x13732,x13733),f13(x13734,x13735,x13733),x13733)
% 1.46/1.49 [1374]~P54(x13743)+~P14(x13745,x13742,x13743)+~P14(x13741,x13744,x13743)+~P12(f3(x13743),x13745,x13743)+~P14(f3(x13743),x13741,x13743)+P14(f8(x13741,x13742,x13743),f8(x13744,x13745,x13743),x13743)
% 1.46/1.49 %EqnAxiom
% 1.46/1.49 [1]E(x11,x11)
% 1.46/1.49 [2]E(x22,x21)+~E(x21,x22)
% 1.46/1.49 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.46/1.49 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 1.46/1.49 [5]~E(x51,x52)+E(f7(x51,x53,x54),f7(x52,x53,x54))
% 1.46/1.49 [6]~E(x61,x62)+E(f7(x63,x61,x64),f7(x63,x62,x64))
% 1.46/1.49 [7]~E(x71,x72)+E(f7(x73,x74,x71),f7(x73,x74,x72))
% 1.46/1.49 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 1.46/1.49 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 1.46/1.49 [10]~E(x101,x102)+E(f13(x101,x103,x104),f13(x102,x103,x104))
% 1.46/1.49 [11]~E(x111,x112)+E(f13(x113,x111,x114),f13(x113,x112,x114))
% 1.46/1.49 [12]~E(x121,x122)+E(f13(x123,x124,x121),f13(x123,x124,x122))
% 1.46/1.49 [13]~E(x131,x132)+E(f14(x131),f14(x132))
% 1.46/1.49 [14]~E(x141,x142)+E(f11(x141,x143,x144),f11(x142,x143,x144))
% 1.46/1.49 [15]~E(x151,x152)+E(f11(x153,x151,x154),f11(x153,x152,x154))
% 1.46/1.49 [16]~E(x161,x162)+E(f11(x163,x164,x161),f11(x163,x164,x162))
% 1.46/1.49 [17]~E(x171,x172)+E(f17(x171,x173),f17(x172,x173))
% 1.46/1.49 [18]~E(x181,x182)+E(f17(x183,x181),f17(x183,x182))
% 1.46/1.49 [19]~E(x191,x192)+E(f12(x191),f12(x192))
% 1.46/1.49 [20]~E(x201,x202)+E(f8(x201,x203,x204),f8(x202,x203,x204))
% 1.46/1.49 [21]~E(x211,x212)+E(f8(x213,x211,x214),f8(x213,x212,x214))
% 1.46/1.49 [22]~E(x221,x222)+E(f8(x223,x224,x221),f8(x223,x224,x222))
% 1.46/1.49 [23]~E(x231,x232)+E(f5(x231,x233,x234),f5(x232,x233,x234))
% 1.46/1.49 [24]~E(x241,x242)+E(f5(x243,x241,x244),f5(x243,x242,x244))
% 1.46/1.49 [25]~E(x251,x252)+E(f5(x253,x254,x251),f5(x253,x254,x252))
% 1.46/1.49 [26]~E(x261,x262)+E(f6(x261,x263,x264),f6(x262,x263,x264))
% 1.46/1.49 [27]~E(x271,x272)+E(f6(x273,x271,x274),f6(x273,x272,x274))
% 1.46/1.49 [28]~E(x281,x282)+E(f6(x283,x284,x281),f6(x283,x284,x282))
% 1.46/1.49 [29]~E(x291,x292)+E(f15(x291,x293,x294),f15(x292,x293,x294))
% 1.46/1.49 [30]~E(x301,x302)+E(f15(x303,x301,x304),f15(x303,x302,x304))
% 1.46/1.49 [31]~E(x311,x312)+E(f15(x313,x314,x311),f15(x313,x314,x312))
% 1.46/1.49 [32]~E(x321,x322)+E(f10(x321,x323),f10(x322,x323))
% 1.46/1.49 [33]~E(x331,x332)+E(f10(x333,x331),f10(x333,x332))
% 1.46/1.49 [34]~E(x341,x342)+E(f9(x341,x343),f9(x342,x343))
% 1.46/1.49 [35]~E(x351,x352)+E(f9(x353,x351),f9(x353,x352))
% 1.46/1.49 [36]~E(x361,x362)+E(f16(x361,x363),f16(x362,x363))
% 1.46/1.49 [37]~E(x371,x372)+E(f16(x373,x371),f16(x373,x372))
% 1.46/1.49 [38]~P1(x381)+P1(x382)+~E(x381,x382)
% 1.46/1.49 [39]~P2(x391)+P2(x392)+~E(x391,x392)
% 1.46/1.49 [40]~P3(x401)+P3(x402)+~E(x401,x402)
% 1.46/1.49 [41]~P8(x411)+P8(x412)+~E(x411,x412)
% 1.46/1.49 [42]~P4(x421)+P4(x422)+~E(x421,x422)
% 1.46/1.49 [43]P12(x432,x433,x434)+~E(x431,x432)+~P12(x431,x433,x434)
% 1.46/1.49 [44]P12(x443,x442,x444)+~E(x441,x442)+~P12(x443,x441,x444)
% 1.46/1.49 [45]P12(x453,x454,x452)+~E(x451,x452)+~P12(x453,x454,x451)
% 1.46/1.49 [46]~P55(x461)+P55(x462)+~E(x461,x462)
% 1.46/1.49 [47]P14(x472,x473,x474)+~E(x471,x472)+~P14(x471,x473,x474)
% 1.46/1.49 [48]P14(x483,x482,x484)+~E(x481,x482)+~P14(x483,x481,x484)
% 1.46/1.49 [49]P14(x493,x494,x492)+~E(x491,x492)+~P14(x493,x494,x491)
% 1.46/1.49 [50]~P5(x501)+P5(x502)+~E(x501,x502)
% 1.46/1.49 [51]~P56(x511)+P56(x512)+~E(x511,x512)
% 1.46/1.49 [52]~P57(x521)+P57(x522)+~E(x521,x522)
% 1.46/1.49 [53]~P29(x531)+P29(x532)+~E(x531,x532)
% 1.46/1.49 [54]~P6(x541)+P6(x542)+~E(x541,x542)
% 1.46/1.49 [55]~P7(x551)+P7(x552)+~E(x551,x552)
% 1.46/1.49 [56]P13(x562,x563,x564)+~E(x561,x562)+~P13(x561,x563,x564)
% 1.46/1.49 [57]P13(x573,x572,x574)+~E(x571,x572)+~P13(x573,x571,x574)
% 1.46/1.49 [58]P13(x583,x584,x582)+~E(x581,x582)+~P13(x583,x584,x581)
% 1.46/1.49 [59]~P59(x591)+P59(x592)+~E(x591,x592)
% 1.46/1.49 [60]~P54(x601)+P54(x602)+~E(x601,x602)
% 1.46/1.49 [61]~P51(x611)+P51(x612)+~E(x611,x612)
% 1.46/1.49 [62]~P9(x621)+P9(x622)+~E(x621,x622)
% 1.46/1.49 [63]~P47(x631)+P47(x632)+~E(x631,x632)
% 1.46/1.49 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 1.46/1.49 [65]~P64(x651)+P64(x652)+~E(x651,x652)
% 1.46/1.49 [66]P11(x662,x663)+~E(x661,x662)+~P11(x661,x663)
% 1.46/1.49 [67]P11(x673,x672)+~E(x671,x672)+~P11(x673,x671)
% 1.46/1.49 [68]~P44(x681)+P44(x682)+~E(x681,x682)
% 1.46/1.49 [69]~P60(x691)+P60(x692)+~E(x691,x692)
% 1.46/1.49 [70]~P34(x701)+P34(x702)+~E(x701,x702)
% 1.46/1.49 [71]~P17(x711)+P17(x712)+~E(x711,x712)
% 1.46/1.49 [72]~P46(x721)+P46(x722)+~E(x721,x722)
% 1.46/1.49 [73]~P42(x731)+P42(x732)+~E(x731,x732)
% 1.46/1.49 [74]~P45(x741)+P45(x742)+~E(x741,x742)
% 1.46/1.49 [75]~P21(x751)+P21(x752)+~E(x751,x752)
% 1.46/1.49 [76]~P68(x761)+P68(x762)+~E(x761,x762)
% 1.46/1.49 [77]~P22(x771)+P22(x772)+~E(x771,x772)
% 1.46/1.49 [78]~P26(x781)+P26(x782)+~E(x781,x782)
% 1.46/1.49 [79]~P48(x791)+P48(x792)+~E(x791,x792)
% 1.46/1.49 [80]~P28(x801)+P28(x802)+~E(x801,x802)
% 1.46/1.49 [81]~P38(x811)+P38(x812)+~E(x811,x812)
% 1.46/1.49 [82]~P23(x821)+P23(x822)+~E(x821,x822)
% 1.46/1.49 [83]~P24(x831)+P24(x832)+~E(x831,x832)
% 1.46/1.49 [84]~P35(x841)+P35(x842)+~E(x841,x842)
% 1.46/1.49 [85]~P10(x851)+P10(x852)+~E(x851,x852)
% 1.46/1.49 [86]~P36(x861)+P36(x862)+~E(x861,x862)
% 1.46/1.49 [87]~P53(x871)+P53(x872)+~E(x871,x872)
% 1.46/1.49 [88]~P30(x881)+P30(x882)+~E(x881,x882)
% 1.46/1.49 [89]~P27(x891)+P27(x892)+~E(x891,x892)
% 1.46/1.49 [90]~P18(x901)+P18(x902)+~E(x901,x902)
% 1.46/1.49 [91]~P19(x911)+P19(x912)+~E(x911,x912)
% 1.46/1.49 [92]~P25(x921)+P25(x922)+~E(x921,x922)
% 1.46/1.49 [93]~P39(x931)+P39(x932)+~E(x931,x932)
% 1.46/1.49 [94]~P65(x941)+P65(x942)+~E(x941,x942)
% 1.46/1.49 [95]~P50(x951)+P50(x952)+~E(x951,x952)
% 1.46/1.49 [96]~P16(x961)+P16(x962)+~E(x961,x962)
% 1.46/1.49 [97]~P49(x971)+P49(x972)+~E(x971,x972)
% 1.46/1.49 [98]~P66(x981)+P66(x982)+~E(x981,x982)
% 1.46/1.49 [99]~P32(x991)+P32(x992)+~E(x991,x992)
% 1.46/1.49 [100]~P70(x1001)+P70(x1002)+~E(x1001,x1002)
% 1.46/1.49 [101]~P43(x1011)+P43(x1012)+~E(x1011,x1012)
% 1.46/1.49 [102]~P31(x1021)+P31(x1022)+~E(x1021,x1022)
% 1.46/1.49 [103]~P69(x1031)+P69(x1032)+~E(x1031,x1032)
% 1.46/1.49 [104]~P62(x1041)+P62(x1042)+~E(x1041,x1042)
% 1.46/1.49 [105]~P61(x1051)+P61(x1052)+~E(x1051,x1052)
% 1.46/1.49 [106]~P20(x1061)+P20(x1062)+~E(x1061,x1062)
% 1.46/1.49 [107]~P33(x1071)+P33(x1072)+~E(x1071,x1072)
% 1.46/1.49 [108]~P41(x1081)+P41(x1082)+~E(x1081,x1082)
% 1.46/1.49 [109]~P52(x1091)+P52(x1092)+~E(x1091,x1092)
% 1.46/1.49 [110]~P63(x1101)+P63(x1102)+~E(x1101,x1102)
% 1.46/1.49 [111]~P58(x1111)+P58(x1112)+~E(x1111,x1112)
% 1.46/1.49 [112]~P67(x1121)+P67(x1122)+~E(x1121,x1122)
% 1.46/1.49 [113]~P37(x1131)+P37(x1132)+~E(x1131,x1132)
% 1.46/1.49 [114]~P40(x1141)+P40(x1142)+~E(x1141,x1142)
% 1.46/1.49
% 1.46/1.49 %-------------------------------------------
% 1.46/1.49 cnf(1513,plain,
% 1.46/1.49 ($false),
% 1.46/1.49 inference(scs_inference,[],[157,232,338,211,334,328,2,553,498,475,424,471]),
% 1.46/1.49 ['proof']).
% 1.46/1.49 % SZS output end Proof
% 1.46/1.49 % Total time :0.120000s
%------------------------------------------------------------------------------