TSTP Solution File: LCL755-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL755-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:50:43 EDT 2023
% Result : Unsatisfiable 0.94s 0.95s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL755-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 06:29:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.81/0.90 %-------------------------------------------
% 0.81/0.90 % File :CSE---1.6
% 0.81/0.90 % Problem :theBenchmark
% 0.81/0.90 % Transform :cnf
% 0.81/0.90 % Format :tptp:raw
% 0.81/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.81/0.90
% 0.81/0.90 % Result :Theorem 0.040000s
% 0.81/0.90 % Output :CNFRefutation 0.040000s
% 0.81/0.90 %-------------------------------------------
% 0.81/0.90 %------------------------------------------------------------------------------
% 0.81/0.90 % File : LCL755-1 : TPTP v8.1.2. Released v4.1.0.
% 0.81/0.90 % Domain : Logic Calculi
% 0.81/0.90 % Problem : Strong normalization of typed lambda calculus 055_4
% 0.81/0.90 % Version : Especial.
% 0.81/0.90 % English :
% 0.81/0.90
% 0.81/0.90 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.81/0.90 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.81/0.90 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.81/0.90 % Source : [Nip10]
% 0.81/0.90 % Names : StrongNorm-055_4 [Nip10]
% 0.81/0.90
% 0.81/0.90 % Status : Unsatisfiable
% 0.81/0.90 % 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, 0.09 v6.2.0, 0.20 v6.1.0, 0.07 v6.0.0, 0.20 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0
% 0.81/0.90 % Syntax : Number of clauses : 755 ( 148 unt; 89 nHn; 444 RR)
% 0.81/0.90 % Number of literals : 1864 ( 458 equ;1054 neg)
% 0.81/0.90 % Maximal clause size : 6 ( 2 avg)
% 0.81/0.90 % Maximal term depth : 5 ( 1 avg)
% 0.81/0.90 % Number of predicates : 48 ( 47 usr; 0 prp; 1-3 aty)
% 0.81/0.90 % Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% 0.81/0.90 % Number of variables : 2116 ( 164 sgn)
% 0.81/0.90 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.81/0.90
% 0.81/0.90 % Comments :
% 0.81/0.90 %------------------------------------------------------------------------------
% 0.81/0.90 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 0.81/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.90 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.81/0.90 | ~ c_lessequals(V_y,V_z,T_a)
% 0.81/0.90 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_min__max_Osup__least_0,axiom,
% 0.81/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.90 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 0.81/0.90 | ~ c_lessequals(V_z,V_x,T_a)
% 0.81/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_min__max_Ole__supI_0,axiom,
% 0.81/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.90 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 0.81/0.90 | ~ c_lessequals(V_b,V_x,T_a)
% 0.81/0.90 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_le__maxI1_0,axiom,
% 0.81/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.90 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_le__maxI2_0,axiom,
% 0.81/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.90 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 0.81/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.90 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 0.81/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.90 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_add__increasing_0,axiom,
% 0.81/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.90 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.81/0.90 | ~ c_lessequals(V_b,V_c,T_a)
% 0.81/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_add__increasing2_0,axiom,
% 0.81/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.90 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.81/0.90 | ~ c_lessequals(V_b,V_a,T_a)
% 0.81/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_Suc__leI_0,axiom,
% 0.81/0.90 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 0.81/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_Suc__le__eq_0,axiom,
% 0.81/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.90 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.81/0.90
% 0.81/0.90 cnf(cls_less__eq__Suc__le_0,axiom,
% 0.81/0.90 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.81/0.90 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.81/0.90
% 0.81/0.91 cnf(cls_less__eq__Suc__le_1,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.81/0.91 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_add__lessD1_0,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_trans__less__add1_0,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_trans__less__add2_0,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_diff__Suc__1_0,axiom,
% 0.81/0.91 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_le__add__iff2_1,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.91 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.81/0.91 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_le__add__iff2_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.91 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 0.81/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_le__add__iff1_1,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.91 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.81/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_le__add__iff1_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.91 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 0.81/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_Suc__times__mod__eq_0,axiom,
% 0.81/0.91 ( c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat)),V_k,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_Suc__diff__le_0,axiom,
% 0.81/0.91 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))
% 0.81/0.91 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_nat__1__eq__mult__iff_2,axiom,
% 0.81/0.91 c_HOL_Oone__class_Oone(tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.81/0.91 c_Lambda_Olift(c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Olift(V_s,V_k),c_Lambda_Olift(V_t,V_k)) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mod__by__0_0,axiom,
% 0.81/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.91 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mod__self_0,axiom,
% 0.81/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.91 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.81/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_nat__add__commute_0,axiom,
% 0.81/0.91 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_less__add__eq__less_0,axiom,
% 0.81/0.91 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.81/0.91 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.91 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.81/0.91 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.81/0.91 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.81/0.91 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.81/0.91 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mod__le__divisor_0,axiom,
% 0.81/0.91 ( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_diff__less__mono2_0,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.91 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.81/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_add__eq__self__zero_0,axiom,
% 0.81/0.91 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 0.81/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.81/0.91 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 0.81/0.91 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.81/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.81/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.81/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.81/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_right__minus__eq_1,axiom,
% 0.81/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.81/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_diff__0__right_0,axiom,
% 0.81/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.81/0.91 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_diff__self_0,axiom,
% 0.81/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.81/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_diff__self__eq__0_0,axiom,
% 0.81/0.91 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.81/0.91 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mod__mult__eq_0,axiom,
% 0.81/0.91 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.91 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_le__max__iff__disj_0,axiom,
% 0.81/0.91 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.91 | c_lessequals(V_z,V_y,T_a)
% 0.81/0.91 | c_lessequals(V_z,V_x,T_a)
% 0.81/0.91 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_nat__eq__add__iff1_1,axiom,
% 0.81/0.91 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 0.81/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 0.81/0.91 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.81/0.91 | V_m = V_n
% 0.81/0.91 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mult__cancel1_0,axiom,
% 0.81/0.91 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.81/0.91 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.91 | V_m = V_n ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_mult__cancel2_0,axiom,
% 0.81/0.91 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 0.81/0.91 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.91 | V_m = V_n ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_le__diff__conv2_1,axiom,
% 0.81/0.91 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.81/0.91 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_le__diff__conv2_0,axiom,
% 0.81/0.91 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.81/0.91 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.81/0.91 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_less__add__Suc2_0,axiom,
% 0.81/0.91 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_less__add__Suc1_0,axiom,
% 0.81/0.91 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_eq__add__iff1_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.81/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.81/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_eq__add__iff2_0,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.81/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.81/0.91 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_nat__less__add__iff2_1,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_nat__less__add__iff2_0,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_nat__less__add__iff1_1,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.81/0.91 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_nat__less__add__iff1_0,axiom,
% 0.81/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.81/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.91 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.81/0.91
% 0.81/0.91 cnf(cls_eq__add__iff2_1,axiom,
% 0.81/0.91 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mult__strict__mono_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.81/0.92 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.92 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Oinf__le1_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Oinf__le2_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__infI_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,V_b,T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,V_z,T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,V_z,T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_eq__add__iff1_1,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_diff__is__0__eq_1,axiom,
% 0.81/0.92 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_diff__is__0__eq_0,axiom,
% 0.81/0.92 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.92 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__diff__distrib__left_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/0.92 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_max__less__iff__conj_2,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 0.81/0.92 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(V_j),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Omul__1_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_nat__mult__1__right_0,axiom,
% 0.81/0.92 c_HOL_Otimes__class_Otimes(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_nat__mult__1_0,axiom,
% 0.81/0.92 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) = V_n ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mult__1_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.81/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mult__1__left_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.81/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mult__1__right_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.81/0.92 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__strict__increasing_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.92 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.92 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(V_b,V_c,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_lem0_0,axiom,
% 0.81/0.92 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__is__1_4,axiom,
% 0.81/0.92 c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mod__mod__trivial_0,axiom,
% 0.81/0.92 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.92 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 0.81/0.92 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_Suc__eq__plus1_0,axiom,
% 0.81/0.92 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mod__0_0,axiom,
% 0.81/0.92 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.92 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__less__iff__conj_2,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.81/0.92 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.81/0.92 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.92 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.92 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_less__Suc0_0,axiom,
% 0.81/0.92 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.92 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.92 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_nat__diff__add__eq2_0,axiom,
% 0.81/0.92 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_nat__diff__add__eq1_0,axiom,
% 0.81/0.92 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_diff__add__cancel_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mult__le__cancel2_1,axiom,
% 0.81/0.92 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.81/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mult__le__cancel1_1,axiom,
% 0.81/0.92 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.81/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__le__mono_0,axiom,
% 0.81/0.92 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__mono_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.81/0.92 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(V_c,V_d,T_a)
% 0.81/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_less__Suc__eq__le_1,axiom,
% 0.81/0.92 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_less__Suc__eq__le_0,axiom,
% 0.81/0.92 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_le__less__Suc__eq_1,axiom,
% 0.81/0.92 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 0.81/0.92 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_nat__mult__commute_0,axiom,
% 0.81/0.92 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_double__eq__0__iff_1,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__is__0_2,axiom,
% 0.81/0.92 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_diff__less__Suc_0,axiom,
% 0.81/0.92 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mod__add__eq_0,axiom,
% 0.81/0.92 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.92 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.92 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mult__eq__if_1,axiom,
% 0.81/0.92 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.92 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_order__less__trans_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/0.92 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_xt1_I10_J_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.92 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 0.81/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 0.81/0.92 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 0.81/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__cancel__21_1,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_nat__add__left__commute_0,axiom,
% 0.81/0.92 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_nat__add__assoc_0,axiom,
% 0.81/0.92 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__gr__0_0,axiom,
% 0.81/0.92 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.81/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.81/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_gr__implies__not0_0,axiom,
% 0.81/0.92 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_not__less0_0,axiom,
% 0.81/0.92 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_one__le__mult__iff_1,axiom,
% 0.81/0.92 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.81/0.92 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_one__le__mult__iff_0,axiom,
% 0.81/0.92 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.81/0.92 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__cancel__21_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_trans__le__add2_0,axiom,
% 0.81/0.92 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_trans__le__add1_0,axiom,
% 0.81/0.92 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__leE_1,axiom,
% 0.81/0.92 ( c_lessequals(V_k,V_n,tc_nat)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__leE_0,axiom,
% 0.81/0.92 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 0.81/0.92 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 0.81/0.92 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.81/0.92 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.81/0.92 ( ~ class_Divides_Oring__div(T_a)
% 0.81/0.92 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.81/0.92 ( ~ class_Divides_Oring__div(T_a)
% 0.81/0.92 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 0.81/0.92 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.81/0.92 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(V_x,V_z,T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(V_x,V_y,T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__le__iff__disj_2,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.81/0.92 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__le__iff__disj_1,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__infI2_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.81/0.92 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__infI1_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.81/0.92 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__infE_1,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(V_x,V_b,T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__max_Ole__infE_0,axiom,
% 0.81/0.92 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.92 | c_lessequals(V_x,V_a,T_a)
% 0.81/0.92 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__0L_0,axiom,
% 0.81/0.92 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_min__0R_0,axiom,
% 0.81/0.92 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.81/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.92 | 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) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.81/0.92 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.81/0.92 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.92 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.81/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.81/0.92 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__is__0_0,axiom,
% 0.81/0.92 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.92 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.92
% 0.81/0.92 cnf(cls_add__is__0_1,axiom,
% 0.81/0.92 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.93 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_double__eq__0__iff_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.93 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_One__nat__def_0,axiom,
% 0.81/0.93 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__add__iff2_1,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__add__iff2_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__add__iff1_1,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__add__iff1_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_le__mod__geq_0,axiom,
% 0.81/0.93 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__eq__add__iff1_0,axiom,
% 0.81/0.93 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_j,V_i,tc_nat)
% 0.81/0.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat) = V_n ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__eq__add__iff2_0,axiom,
% 0.81/0.93 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.81/0.93 | V_m = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__le__iff__disj_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_y,V_z,T_a)
% 0.81/0.93 | c_lessequals(V_x,V_z,T_a)
% 0.81/0.93 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__eq__add__iff2_1,axiom,
% 0.81/0.93 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.81/0.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_no__zero__divisors_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__is__0_0,axiom,
% 0.81/0.93 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.93 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.93 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__add__cong_0,axiom,
% 0.81/0.93 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__Suc0_1,axiom,
% 0.81/0.93 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_even__less__0__iff_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_even__less__0__iff_1,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_one__is__add_1,axiom,
% 0.81/0.93 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.81/0.93 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.81/0.93 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_one__is__add_2,axiom,
% 0.81/0.93 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.81/0.93 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.93 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__pos__pos_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__neg__neg_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_y,V_z,T_a)
% 0.81/0.93 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_x,V_z,T_a)
% 0.81/0.93 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_le__max__iff__disj_2,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_le__max__iff__disj_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Ole__supI2_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Ole__supI1_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Ole__supE_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_b,V_x,T_a)
% 0.81/0.93 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Ole__supE_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_a,V_x,T_a)
% 0.81/0.93 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_le__diff__conv_0,axiom,
% 0.81/0.93 ( c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_le__diff__conv_1,axiom,
% 0.81/0.93 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__max__iff__disj_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__Suc__right_0,axiom,
% 0.81/0.93 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__Suc_0,axiom,
% 0.81/0.93 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_not__one__less__zero_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_one__neq__zero_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.81/0.93 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__le__add__iff1_0,axiom,
% 0.81/0.93 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__le__add__iff1_1,axiom,
% 0.81/0.93 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__le__add__iff2_0,axiom,
% 0.81/0.93 ( c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__le__add__iff2_1,axiom,
% 0.81/0.93 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__mult__self4_0,axiom,
% 0.81/0.93 c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),V_m,tc_nat)),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__less__iff__disj_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.93 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)
% 0.81/0.93 | V_y = V_z
% 0.81/0.93 | V_w = V_x ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.93 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.81/0.93 | V_c = V_d
% 0.81/0.93 | V_a = V_b ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 0.81/0.93 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat)
% 0.81/0.93 | V_c = V_d
% 0.81/0.93 | V_a = V_b ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 0.81/0.93 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat)
% 0.81/0.93 | V_y = V_z
% 0.81/0.93 | V_w = V_x ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_add__nonpos__neg_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_add__neg__nonpos_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__eq__self__implies__10_0,axiom,
% 0.81/0.93 ( V_m != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.81/0.93 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.93 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__mult__cong_0,axiom,
% 0.81/0.93 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__add__assoc_0,axiom,
% 0.81/0.93 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__add__assoc2_0,axiom,
% 0.81/0.93 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__eq__1__iff_2,axiom,
% 0.81/0.93 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_zero__le__one_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__zero__right_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__zero__left_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__is__0_1,axiom,
% 0.81/0.93 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__is__0_2,axiom,
% 0.81/0.93 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.93 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.93 | 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) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.93 | 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) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__diff__right_0,axiom,
% 0.81/0.93 ( c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__1_0,axiom,
% 0.81/0.93 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_add__eq__if_1,axiom,
% 0.81/0.93 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat))
% 0.81/0.93 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__imp__diff__less_0,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__by__1_0,axiom,
% 0.81/0.93 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__if_0,axiom,
% 0.81/0.93 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_one__is__add_4,axiom,
% 0.81/0.93 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__le__not__le_2,axiom,
% 0.81/0.93 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/0.93 | c_lessequals(V_y,V_x,T_a)
% 0.81/0.93 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 0.81/0.93 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 0.81/0.93 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 0.81/0.93 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_max__diff__distrib__left_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/0.93 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__less__divisor_0,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_not__leE_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/0.93 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | ~ c_lessequals(V_x,V_x,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.81/0.93 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_linorder__not__less_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/0.93 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_linorder__not__less_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_lessequals(V_y,V_x,T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_linorder__not__le_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | ~ c_lessequals(V_x,V_y,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_linorder__not__le_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.81/0.93 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__le__not__le_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/0.93 | ~ c_lessequals(V_y,V_x,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__add__left__eq_0,axiom,
% 0.81/0.93 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mod__add__right__eq_0,axiom,
% 0.81/0.93 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.93 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__mult__eq__1__iff_1,axiom,
% 0.81/0.93 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.81/0.93 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__mult__eq__1__iff_0,axiom,
% 0.81/0.93 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 0.81/0.93 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_one__is__add_5,axiom,
% 0.81/0.93 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_add__strict__increasing2_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.93 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__le__mono2_0,axiom,
% 0.81/0.93 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__le__mono_0,axiom,
% 0.81/0.93 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_le__diff__iff_1,axiom,
% 0.81/0.93 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_le__diff__iff_0,axiom,
% 0.81/0.93 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__add__0_0,axiom,
% 0.81/0.93 c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__diff__left_0,axiom,
% 0.81/0.93 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_eq__eqI_1,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.81/0.93 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.81/0.93 | V_xa = V_y ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_eq__eqI_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.81/0.93 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.81/0.93 | V_x_H = V_y_H ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_eq__diff__iff_0,axiom,
% 0.81/0.93 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_m,tc_nat)
% 0.81/0.93 | V_m = V_n ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_zero__neq__one_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.81/0.93 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 0.81/0.93 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.81/0.93 | V_m = V_n ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_one__is__add_3,axiom,
% 0.81/0.93 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.81/0.93 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.81/0.93 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_one__is__add_0,axiom,
% 0.81/0.93 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.81/0.93 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.93 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__less__cancel2_0,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__less__cancel1_0,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__le__cancel2_0,axiom,
% 0.81/0.93 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__le__cancel1_0,axiom,
% 0.81/0.93 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 0.81/0.93 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 0.81/0.93 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | c_lessequals(V_b,V_a,T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_b,V_a,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | c_lessequals(V_a,V_b,T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_a,V_b,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.93 | c_lessequals(V_a,V_b,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.93 | c_lessequals(V_a,V_b,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_one__less__mult_0,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__0__eq__0_0,axiom,
% 0.81/0.93 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__cancel2_0,axiom,
% 0.81/0.93 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__cancel_0,axiom,
% 0.81/0.93 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_zero__less__Suc_0,axiom,
% 0.81/0.93 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.81/0.93 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oless__supI1_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oless__supI2_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__max__iff__disj_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_less__max__iff__disj_2,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_max__less__iff__conj_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_max__less__iff__conj_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oinf__commute_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_left__add__mult__distrib_0,axiom,
% 0.81/0.93 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_k,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_u,tc_nat),V_k,tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_combine__common__factor_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.81/0.93 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_lift__subst__lt_0,axiom,
% 0.81/0.93 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,V_i),c_Lambda_Olift(V_s,V_i),c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__le__self_0,axiom,
% 0.81/0.93 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_add__neg__neg_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.93 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.93 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_x = V_y ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_right__minus__eq_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.81/0.93 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_a = V_b ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.81/0.93 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | V_a = V_b ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__mult__distrib2_0,axiom,
% 0.81/0.93 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__mult__distrib_0,axiom,
% 0.81/0.93 c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oless__infI1_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__max_Oless__infI2_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__less__iff__conj_0,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__less__iff__conj_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__less__iff__disj_1,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_min__less__iff__disj_2,axiom,
% 0.81/0.93 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 0.81/0.93 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__commute_0,axiom,
% 0.81/0.93 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_le0_0,axiom,
% 0.81/0.93 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_add__nonneg__pos_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_add__pos__nonneg_0,axiom,
% 0.81/0.93 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.93 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_diff__less__mono_0,axiom,
% 0.81/0.93 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)
% 0.81/0.93 | ~ c_lessequals(V_c,V_a,tc_nat)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__le__0__iff_4,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__le__0__iff_5,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.93 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_split__mult__neg__le_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_split__mult__neg__le_1,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.93 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.93 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.81/0.93 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.93 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.93
% 0.81/0.93 cnf(cls_not__square__less__zero_0,axiom,
% 0.81/0.93 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.93 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.93
% 0.81/0.94 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 0.81/0.94 | V_y = V_z ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 0.81/0.94 | V_m = V_n ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.81/0.94 | V_m = V_n ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.94 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.81/0.94 | V_y = V_z ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__less__le_1,axiom,
% 0.81/0.94 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__not__refl_0,axiom,
% 0.81/0.94 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_order__less__le_1,axiom,
% 0.81/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_linorder__neq__iff_1,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_order__less__irrefl_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__imp__diff__is__add_1,axiom,
% 0.81/0.94 ( ~ c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat)
% 0.81/0.94 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat) = V_k ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__max_Oinf__idem_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__0__eq_0,axiom,
% 0.81/0.94 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_beta_0,axiom,
% 0.81/0.94 c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(V_s),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__pos__pos_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__add1_0,axiom,
% 0.81/0.94 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__add2_0,axiom,
% 0.81/0.94 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__iff__add_1,axiom,
% 0.81/0.94 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__minus__add__max_0,axiom,
% 0.81/0.94 c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),V_m,tc_nat) = c_Orderings_Oord__class_Omax(V_n,V_m,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_not__one__le__zero_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/0.94 | V_x = V_y ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | V_x = V_y
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__antisym_0,axiom,
% 0.81/0.94 ( V_m = V_n
% 0.81/0.94 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__neq__iff_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | V_m = V_n ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.81/0.94 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.94 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.94 | V_m = V_n ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.81/0.94 | V_x = V_y ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_order__eq__iff_2,axiom,
% 0.81/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.94 | V_x = V_y
% 0.81/0.94 | ~ c_lessequals(V_y,V_x,T_a)
% 0.81/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_linorder__neqE_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/0.94 | V_x = V_y ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_order__antisym_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.94 | V_x = V_y
% 0.81/0.94 | ~ c_lessequals(V_y,V_x,T_a)
% 0.81/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_order__antisym__conv_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.94 | V_x = V_y
% 0.81/0.94 | ~ c_lessequals(V_x,V_y,T_a)
% 0.81/0.94 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_linorder__less__linear_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.81/0.94 | V_x = V_y
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | V_x = V_y
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__diff__cong_0,axiom,
% 0.81/0.94 ( ~ class_Divides_Oring__div(T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/0.94 | c_lessequals(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_Suc__diff__1_0,axiom,
% 0.81/0.94 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_Suc__pred_H_0,axiom,
% 0.81/0.94 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__max_Osup__idem_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.81/0.94 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 0.81/0.94 | V_dB2 = V_dB2_H ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.81/0.94 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H)
% 0.81/0.94 | V_dB1 = V_dB1_H ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__strict__mono_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__less__mono_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 0.81/0.94 ( c_lessequals(V_x,V_y,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__less__le_0,axiom,
% 0.81/0.94 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_order__le__less_1,axiom,
% 0.81/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.81/0.94 | c_lessequals(V_x,V_y,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_order__less__imp__le_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.81/0.94 | c_lessequals(V_x,V_y,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 0.81/0.94 ( c_HOL_Ominus__class_Ominus(V_m,c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_Suc(V_j),tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__le__cancel__right_1,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__le__cancel__right_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_lessequals(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__le__cancel__left_1,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__le__cancel__left_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_lessequals(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__right__mono_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__left__mono_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__le__mono1_0,axiom,
% 0.81/0.94 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 0.81/0.94 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 0.81/0.94 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_zero__less__one_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__imp__diff__is__add_0,axiom,
% 0.81/0.94 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.81/0.94 | V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__add__diff__inverse_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 0.81/0.94 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__add__diff__inverse2_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
% 0.81/0.94 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel1_1,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel2_1,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__add__one_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.81/0.94 | 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) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__diff__assoc_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__diff__assoc2_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__left__idem_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.81/0.94 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__mod__eq__iff_1,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_n,V_xa,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_y,c_HOL_Otimes__class_Otimes(V_n,V_xb,tc_nat),tc_nat)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(V_x,V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_y,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.94 | ~ c_lessequals(V_c,V_d,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_gr0I_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.81/0.94 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_neq0__conv_1,axiom,
% 0.81/0.94 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__add__self2_0,axiom,
% 0.81/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__add__self1_0,axiom,
% 0.81/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__le__0__iff_3,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.94 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__le__0__iff_2,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__le__0__iff_1,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__le__0__iff_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__pos__neg2_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__pos__neg_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__neg__pos_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_n__less__m__mult__n_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_n__less__n__mult__m_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__diff__iff_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__diff__iff_1,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_pos__add__strict_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.94 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__cancel1_1,axiom,
% 0.81/0.94 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__cancel2_1,axiom,
% 0.81/0.94 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_not__add__less1_0,axiom,
% 0.81/0.94 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_not__add__less2_0,axiom,
% 0.81/0.94 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__lemma_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,c_Divides_Odiv__class_Omod(V_q,V_c,tc_nat),tc_nat),V_r,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_r,V_b,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_c,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__right__mono_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__left__mono_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__mono1_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__if_1,axiom,
% 0.81/0.94 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.94 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 0.81/0.94 | V_c = V_d
% 0.81/0.94 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat),tc_nat)
% 0.81/0.94 | V_c = V_d
% 0.81/0.94 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.94 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.81/0.94 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__0__eq_1,axiom,
% 0.81/0.94 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__imp__eq_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.81/0.94 | V_b = V_c ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__left__cancel_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.81/0.94 | V_b = V_c ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__right__cancel_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.81/0.94 | V_b = V_c ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_subst__Abs_0,axiom,
% 0.81/0.94 c_Lambda_Osubst(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_s,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__less__eq__dividend_0,axiom,
% 0.81/0.94 c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__add__distrib__left_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__add__diff_0,axiom,
% 0.81/0.94 ( c_lessequals(V_m,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_k,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__right__le__one__le_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 0.81/0.94 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__left__le__one__le_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 0.81/0.94 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__diff__eq_0,axiom,
% 0.81/0.94 ( ~ class_Divides_Oring__div(T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__Suc_0,axiom,
% 0.81/0.94 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_subst__subst_0,axiom,
% 0.81/0.94 ( c_Lambda_Osubst(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_v,V_i),c_Suc(V_j)),c_Lambda_Osubst(V_u,V_v,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Osubst(V_t,V_u,V_i),V_v,V_j)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__mult__left__eq_0,axiom,
% 0.81/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__mult__right__eq_0,axiom,
% 0.81/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__is__1_3,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.81/0.94 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.81/0.94 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__is__1_0,axiom,
% 0.81/0.94 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.81/0.94 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.81/0.94 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 0.81/0.94 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 0.81/0.94 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 0.81/0.94 ( c_lessequals(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 0.81/0.94 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 0.81/0.94 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_appR_0,axiom,
% 0.81/0.94 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_u,V_s),c_Lambda_OdB_OApp(V_u,V_t))
% 0.81/0.94 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_appL_0,axiom,
% 0.81/0.94 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_s,V_u),c_Lambda_OdB_OApp(V_t,V_u))
% 0.81/0.94 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__max_Osup__commute_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_max__0R_0,axiom,
% 0.81/0.94 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_max__0L_0,axiom,
% 0.81/0.94 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__square_0,axiom,
% 0.81/0.94 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_diff__diff__cancel_0,axiom,
% 0.81/0.94 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 0.81/0.94 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__mult__eq__1__iff_2,axiom,
% 0.81/0.94 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.81/0.94 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_lift__preserves__beta_0,axiom,
% 0.81/0.94 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i))
% 0.81/0.94 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_lift__subst_0,axiom,
% 0.81/0.94 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(V_s,V_i),V_j)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_j,c_HOL_Oplus__class_Oplus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_lift__lift_0,axiom,
% 0.81/0.94 ( c_Lambda_Olift(c_Lambda_Olift(V_t,V_i),c_Suc(V_k)) = c_Lambda_Olift(c_Lambda_Olift(V_t,V_k),V_i)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__mult__distrib2_0,axiom,
% 0.81/0.94 c_HOL_Otimes__class_Otimes(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__mult__distrib_0,axiom,
% 0.81/0.94 c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_k,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel2_2,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel1_2,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__mono2_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__mono1_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_max__add__distrib__left_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__le__mono_0,axiom,
% 0.81/0.94 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_l,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.81/0.94 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_le__cube_0,axiom,
% 0.81/0.94 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__mono_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.94 | ~ c_lessequals(V_c,V_d,T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mult__mono_H_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.94 | ~ c_lessequals(V_c,V_d,T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__max_Osup__assoc_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_zero__less__two_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.81/0.94 | 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) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__mult__self3_0,axiom,
% 0.81/0.94 c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),V_m,tc_nat),V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__mult__self1_0,axiom,
% 0.81/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_mod__mult__self2_0,axiom,
% 0.81/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.81/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.81/0.94 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.81/0.94 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.81/0.94 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.81/0.94 | ~ class_Int_Onumber__ring(T_a)
% 0.81/0.94 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__0__left_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.81/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 0.81/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.81/0.94 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.81/0.94 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.81/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.81/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_diff__add__inverse2_0,axiom,
% 0.81/0.94 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_diff__add__inverse_0,axiom,
% 0.81/0.94 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__diff__cancel_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.81/0.94 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__1__mult_0,axiom,
% 0.81/0.94 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.81/0.94 | 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)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__le__less__mono_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.81/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__less__le__mono_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.81/0.94 | ~ c_lessequals(V_c,V_d,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__gr__0_2,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__gr__0_1,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__diff__conv_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_less__diff__conv_1,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__strict__right__mono_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__less__cancel__right_1,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__less__cancel__right_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__strict__left__mono_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__less__cancel__left_1,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__less__cancel__left_0,axiom,
% 0.81/0.94 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.81/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_add__less__mono1_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.81/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.81/0.94
% 0.81/0.94 cnf(cls_one__le__mult__iff_2,axiom,
% 0.81/0.94 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.81/0.94 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.81/0.94 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 0.81/0.94
% 0.94/0.94 cnf(cls_xt1_I6_J_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_lessequals(V_z,V_x,T_a)
% 0.94/0.94 | ~ c_lessequals(V_z,V_y,T_a)
% 0.94/0.94 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_xt1_I7_J_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/0.94 | ~ c_lessequals(V_z,V_y,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_xt1_I8_J_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.94/0.94 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.94/0.94 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/0.94 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__trans_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/0.94 | c_lessequals(V_x,V_z,T_a)
% 0.94/0.94 | ~ c_lessequals(V_y,V_z,T_a)
% 0.94/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_le__refl_0,axiom,
% 0.94/0.94 c_lessequals(V_n,V_n,tc_nat) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_le__trans_0,axiom,
% 0.94/0.94 ( c_lessequals(V_i,V_k,tc_nat)
% 0.94/0.94 | ~ c_lessequals(V_j,V_k,tc_nat)
% 0.94/0.94 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_eq__imp__le_0,axiom,
% 0.94/0.94 c_lessequals(V_x,V_x,tc_nat) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__eq__iff_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__eq__refl_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/0.94 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__le__less__trans_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.94/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__less__le__trans_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/0.94 | ~ c_lessequals(V_y,V_z,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_le__add__right__mono_0,axiom,
% 0.94/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/0.94 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/0.94 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_min__diff_0,axiom,
% 0.94/0.94 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_add__is__1_5,axiom,
% 0.94/0.94 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__idem_0,axiom,
% 0.94/0.94 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.94/0.94 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 0.94/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 0.94/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mod__eq__0__iff_1,axiom,
% 0.94/0.94 c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_d,V_x,tc_nat),V_d,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_le__less__Suc__eq_0,axiom,
% 0.94/0.94 ( V_n = V_m
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__le__mono1_0,axiom,
% 0.94/0.94 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.94/0.94 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__le__mono2_0,axiom,
% 0.94/0.94 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.94/0.94 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__le__cancel1_2,axiom,
% 0.94/0.94 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.94/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__le__cancel2_2,axiom,
% 0.94/0.94 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.94/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_zero__less__diff_0,axiom,
% 0.94/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_zero__less__diff_1,axiom,
% 0.94/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/0.94 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_Suc__pred_0,axiom,
% 0.94/0.94 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_diff__less_0,axiom,
% 0.94/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/0.94 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_le__eqI_0,axiom,
% 0.94/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/0.94 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/0.94 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.94/0.94 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_le__eqI_1,axiom,
% 0.94/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/0.94 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/0.94 | c_lessequals(V_y,V_x,T_a)
% 0.94/0.94 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_less__eqI_0,axiom,
% 0.94/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/0.94 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_less__eqI_1,axiom,
% 0.94/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/0.94 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.94/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.94/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_add__diff__inverse_0,axiom,
% 0.94/0.94 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_diff__Suc__less_0,axiom,
% 0.94/0.94 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.94/0.94 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_add__is__1_1,axiom,
% 0.94/0.94 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/0.94 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/0.94 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_add__is__1_2,axiom,
% 0.94/0.94 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/0.94 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/0.94 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/0.94 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/0.94 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_xt1_I11_J_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/0.94 | V_a = V_b
% 0.94/0.94 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_xt1_I12_J_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/0.94 | ~ c_lessequals(V_b,V_a,T_a)
% 0.94/0.94 | V_a = V_b ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_nat__less__le_2,axiom,
% 0.94/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/0.94 | V_m = V_n
% 0.94/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_le__eq__less__or__eq_0,axiom,
% 0.94/0.94 ( V_m = V_n
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_le__neq__implies__less_0,axiom,
% 0.94/0.94 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/0.94 | V_m = V_n
% 0.94/0.94 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__le__less_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | V_x = V_y
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__less__le_2,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/0.94 | V_x = V_y
% 0.94/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__le__neq__trans_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/0.94 | V_a = V_b
% 0.94/0.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_order__neq__le__trans_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/0.94 | ~ c_lessequals(V_a,V_b,T_a)
% 0.94/0.94 | V_a = V_b ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/0.94 | V_x = V_y
% 0.94/0.94 | ~ c_lessequals(V_x,V_y,T_a)
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.94/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/0.94 | V_x = V_y
% 0.94/0.94 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_zero__le__square_0,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_split__mult__pos__le_1,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_split__mult__pos__le_0,axiom,
% 0.94/0.94 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/0.94 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/0.94 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mod__mult__mult2_0,axiom,
% 0.94/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_mod__mult__mult1_0,axiom,
% 0.94/0.94 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/0.94 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 0.94/0.94 c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_nat__1__eq__mult__iff_0,axiom,
% 0.94/0.94 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.94/0.94 | V_m = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.94/0.94
% 0.94/0.94 cnf(cls_nat__1__eq__mult__iff_1,axiom,
% 0.94/0.94 ( c_HOL_Oone__class_Oone(tc_nat) != c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)
% 0.94/0.95 | V_n = c_HOL_Oone__class_Oone(tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.94/0.95 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.94/0.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.94/0.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.94/0.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.94/0.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_nat__mult__assoc_0,axiom,
% 0.94/0.95 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.94/0.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.94/0.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.94/0.95 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_add__mult__distrib_0,axiom,
% 0.94/0.95 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_add__mult__distrib2_0,axiom,
% 0.94/0.95 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.94/0.95 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/0.95 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_xt1_I9_J_0,axiom,
% 0.94/0.95 ( ~ class_Orderings_Oorder(T_a)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.94/0.95 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_nat__le__linear_0,axiom,
% 0.94/0.95 ( c_lessequals(V_n,V_m,tc_nat)
% 0.94/0.95 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_linorder__linear_0,axiom,
% 0.94/0.95 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/0.95 | c_lessequals(V_y,V_x,T_a)
% 0.94/0.95 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_order__less__asym_0,axiom,
% 0.94/0.95 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_order__less__asym_H_0,axiom,
% 0.94/0.95 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__le__mono_1,axiom,
% 0.94/0.95 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 0.94/0.95 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__le__mono_0,axiom,
% 0.94/0.95 ( c_lessequals(V_n,V_m,tc_nat)
% 0.94/0.95 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__mult__cancel1_0,axiom,
% 0.94/0.95 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat)
% 0.94/0.95 | V_m = V_n ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__App_0,axiom,
% 0.94/0.95 c_Lambda_Osubst(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubst(V_t,V_s,V_k),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_less__SucI_0,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__lessD_0,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.94/0.95 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.94/0.95 c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.94/0.95 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.94/0.95 | V_nat = V_nat_H ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.94/0.95 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OApp(V_dB1,V_dB2) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__eq_0,axiom,
% 0.94/0.95 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 0.94/0.95 c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_n__not__Suc__n_0,axiom,
% 0.94/0.95 V_n != c_Suc(V_n) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__n__not__n_0,axiom,
% 0.94/0.95 c_Suc(V_n) != V_n ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__lt_0,axiom,
% 0.94/0.95 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__n__not__le__n_0,axiom,
% 0.94/0.95 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_le__SucI_0,axiom,
% 0.94/0.95 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 0.94/0.95 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__leD_0,axiom,
% 0.94/0.95 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/0.95 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__Var_0,axiom,
% 0.94/0.95 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__gt_0,axiom,
% 0.94/0.95 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_less__trans__Suc_0,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_less__Suc__eq_2,axiom,
% 0.94/0.95 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_lessI_0,axiom,
% 0.94/0.95 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.94/0.95 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.94/0.95 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.94/0.95 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.94/0.95 ( V_n = V_m
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/0.95 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_less__antisym_0,axiom,
% 0.94/0.95 ( V_m = V_n
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/0.95 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_less__SucE_0,axiom,
% 0.94/0.95 ( V_m = V_n
% 0.94/0.95 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.94/0.95 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.94/0.95 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.94/0.95 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.94/0.95 | V_dB = V_dB_H ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_lift__IT_0,axiom,
% 0.94/0.95 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
% 0.94/0.95 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.94/0.95 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_nat_Oinject_0,axiom,
% 0.94/0.95 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.94/0.95 | V_nat = V_nat_H ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__inject_0,axiom,
% 0.94/0.95 ( c_Suc(V_x) != c_Suc(V_y)
% 0.94/0.95 | V_x = V_y ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.94/0.95 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.94/0.95 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_add__Suc_0,axiom,
% 0.94/0.95 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_add__Suc__right_0,axiom,
% 0.94/0.95 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__preserves__beta_0,axiom,
% 0.94/0.95 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i))
% 0.94/0.95 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_max__Suc__Suc_0,axiom,
% 0.94/0.95 c_Orderings_Oord__class_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(V_m,V_n,tc_nat)) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__Var_2,axiom,
% 0.94/0.95 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.94/0.95 | V_i = V_k
% 0.94/0.95 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_mod__Suc_1,axiom,
% 0.94/0.95 ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 0.94/0.95 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__Var_1,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.94/0.95 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_add__Suc__shift_0,axiom,
% 0.94/0.95 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__lessI_0,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.94/0.95 | c_Suc(V_m) = V_n
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_not__less__eq__eq_1,axiom,
% 0.94/0.95 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 0.94/0.95 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_not__less__eq__eq_0,axiom,
% 0.94/0.95 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.94/0.95 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__diff__diff_0,axiom,
% 0.94/0.95 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Lambda_0,axiom,
% 0.94/0.95 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
% 0.94/0.95 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_le__Suc__eq_2,axiom,
% 0.94/0.95 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_subst__lift_0,axiom,
% 0.94/0.95 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_min__Suc__Suc_0,axiom,
% 0.94/0.95 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_le__SucE_0,axiom,
% 0.94/0.95 ( V_m = c_Suc(V_n)
% 0.94/0.95 | c_lessequals(V_m,V_n,tc_nat)
% 0.94/0.95 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.94/0.95 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_not__less__eq_1,axiom,
% 0.94/0.95 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_not__less__eq_0,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/0.95 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_abs_0,axiom,
% 0.94/0.95 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))
% 0.94/0.95 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.94/0.95 c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__less__eq_0,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_Suc__mono_0,axiom,
% 0.94/0.95 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.94/0.95 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_conjecture_0,negated_conjecture,
% 0.94/0.95 c_InductTermi_OIT(v_ra) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_conjecture_1,negated_conjecture,
% 0.94/0.95 c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(V_i),V_j)) ).
% 0.94/0.95
% 0.94/0.95 cnf(cls_conjecture_2,negated_conjecture,
% 0.94/0.95 ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.94/0.95 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.94/0.95 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.94/0.95 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.94/0.95 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.94/0.95 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.94/0.95 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.94/0.95 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.94/0.95 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.94/0.95 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.94/0.95 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.94/0.95 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.94/0.95 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.94/0.95 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.94/0.95 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.94/0.95 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.94/0.95 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.94/0.95 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.94/0.95 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.94/0.95 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.94/0.95 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.94/0.95 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.94/0.95 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.94/0.95 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.94/0.95 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.94/0.95 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.94/0.95 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.94/0.95 class_Divides_Osemiring__div(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.94/0.95 class_Orderings_Opreorder(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.94/0.95 class_Orderings_Olinorder(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.94/0.95 class_Orderings_Oorder(tc_nat) ).
% 0.94/0.95
% 0.94/0.95 %------------------------------------------------------------------------------
% 0.94/0.95 %-------------------------------------------
% 0.94/0.95 % Proof found
% 0.94/0.95 % SZS status Theorem for theBenchmark
% 0.94/0.95 % SZS output start Proof
% 0.94/0.95 %ClaNum:838(EqnAxiom:84)
% 0.94/0.95 %VarNum:4857(SingletonVarNum:1744)
% 0.94/0.95 %MaxLitNum:6
% 0.94/0.95 %MaxfuncDepth:4
% 0.94/0.95 %SharedTerms:58
% 0.94/0.95 %goalClause: 115 146 231
% 0.94/0.95 %singleGoalClaCount:3
% 0.94/0.95 [85]P1(a1)
% 0.94/0.95 [86]P2(a1)
% 0.94/0.95 [87]P3(a1)
% 0.94/0.95 [88]P4(a1)
% 0.94/0.95 [89]P26(a1)
% 0.94/0.95 [90]P30(a1)
% 0.94/0.95 [91]P31(a1)
% 0.94/0.95 [92]P17(a1)
% 0.94/0.95 [93]P18(a1)
% 0.94/0.95 [94]P22(a1)
% 0.94/0.95 [95]P24(a1)
% 0.94/0.95 [96]P27(a1)
% 0.94/0.95 [97]P28(a1)
% 0.94/0.95 [98]P10(a1)
% 0.94/0.95 [99]P32(a1)
% 0.94/0.95 [100]P37(a1)
% 0.94/0.95 [101]P41(a1)
% 0.94/0.95 [102]P33(a1)
% 0.94/0.95 [103]P42(a1)
% 0.94/0.95 [104]P43(a1)
% 0.94/0.95 [105]P25(a1)
% 0.94/0.95 [106]P34(a1)
% 0.94/0.95 [107]P36(a1)
% 0.94/0.95 [108]P13(a1)
% 0.94/0.95 [109]P16(a1)
% 0.94/0.95 [110]P38(a1)
% 0.94/0.95 [111]P44(a1)
% 0.94/0.95 [112]P19(a1)
% 0.94/0.95 [113]P14(a1)
% 0.94/0.95 [114]P29(a1)
% 0.94/0.95 [115]P5(a15)
% 0.94/0.95 [188]E(f7(f5(f4(a1),f6(a1),a1),f5(f4(a1),f6(a1),a1),a1),f5(f4(a1),f6(a1),a1))
% 0.94/0.95 [231]~P5(f11(f12(a15,f9(f5(a16,f6(a1),a1)),f5(a17,f6(a1),a1))))
% 0.94/0.95 [117]P7(x1171,x1171,a1)
% 0.94/0.95 [218]~P6(x2181,x2181,a1)
% 0.94/0.95 [118]E(f2(x1181,x1181,a1),f4(a1))
% 0.94/0.95 [119]P7(f4(a1),x1191,a1)
% 0.94/0.95 [150]P7(x1501,f7(x1501,x1501,a1),a1)
% 0.94/0.95 [220]~P6(x2201,f4(a1),a1)
% 0.94/0.95 [121]E(f8(x1211,f4(a1),a1),x1211)
% 0.94/0.95 [122]E(f5(x1221,f4(a1),a1),x1221)
% 0.94/0.95 [123]E(f2(x1231,f4(a1),a1),x1231)
% 0.94/0.95 [124]E(f7(x1241,f6(a1),a1),x1241)
% 0.94/0.95 [125]E(f8(f4(a1),x1251,a1),x1251)
% 0.94/0.95 [126]E(f5(f4(a1),x1261,a1),x1261)
% 0.94/0.95 [127]E(f7(f6(a1),x1271,a1),x1271)
% 0.94/0.95 [128]E(f14(x1281,f4(a1),a1),f4(a1))
% 0.94/0.95 [129]E(f7(x1291,f4(a1),a1),f4(a1))
% 0.94/0.95 [130]E(f14(f4(a1),x1301,a1),f4(a1))
% 0.94/0.95 [131]E(f2(f4(a1),x1311,a1),f4(a1))
% 0.94/0.95 [132]E(f7(f4(a1),x1321,a1),f4(a1))
% 0.94/0.95 [158]P6(x1581,f5(x1581,f6(a1),a1),a1)
% 0.94/0.95 [161]P6(f4(a1),f5(x1611,f6(a1),a1),a1)
% 0.94/0.95 [189]P7(x1891,f7(x1891,f7(x1891,x1891,a1),a1),a1)
% 0.94/0.95 [222]~E(f5(x2221,f6(a1),a1),x2221)
% 0.94/0.95 [226]~E(f5(x2261,f6(a1),a1),f4(a1))
% 0.94/0.95 [230]~P7(f5(x2301,f6(a1),a1),x2301,a1)
% 0.94/0.95 [163]E(f3(x1631,f5(f4(a1),f6(a1),a1),a1),f4(a1))
% 0.94/0.95 [140]E(f5(x1401,x1402,a1),f5(x1402,x1401,a1))
% 0.94/0.95 [141]E(f7(x1411,x1412,a1),f7(x1412,x1411,a1))
% 0.94/0.95 [147]P7(x1471,f5(x1472,x1471,a1),a1)
% 0.94/0.95 [149]P7(x1491,f5(x1491,x1492,a1),a1)
% 0.94/0.95 [151]P7(f2(x1511,x1512,a1),x1511,a1)
% 0.94/0.95 [152]P7(f3(x1521,x1522,a1),x1521,a1)
% 0.94/0.95 [211]~E(f11(x2111),f9(x2112))
% 0.94/0.95 [216]~P8(f9(x2161),x2162)
% 0.94/0.95 [228]~P6(f5(x2281,x2282,a1),x2282,a1)
% 0.94/0.95 [229]~P6(f5(x2291,x2292,a1),x2291,a1)
% 0.94/0.95 [134]E(f12(f9(x1341),x1342,x1341),x1342)
% 0.94/0.95 [143]E(f7(x1431,f4(a1),a1),f7(x1432,f4(a1),a1))
% 0.94/0.95 [145]E(f7(f4(a1),x1451,a1),f7(f4(a1),x1452,a1))
% 0.94/0.95 [146]P5(f12(a15,f9(x1461),x1462))
% 0.94/0.95 [153]E(f2(f5(x1531,x1532,a1),x1532,a1),x1531)
% 0.94/0.95 [154]E(f2(f5(x1541,x1542,a1),x1541,a1),x1542)
% 0.94/0.95 [155]E(f2(x1551,f5(x1551,x1552,a1),a1),f4(a1))
% 0.94/0.95 [156]E(f3(f7(x1561,x1562,a1),x1561,a1),f4(a1))
% 0.94/0.95 [159]P8(f10(f11(x1591),x1592),f12(x1591,x1592,f4(a1)))
% 0.94/0.95 [165]E(f5(f2(x1651,x1652,a1),x1652,a1),f8(x1651,x1652,a1))
% 0.94/0.95 [170]P6(f2(x1701,x1702,a1),f5(x1701,f6(a1),a1),a1)
% 0.94/0.95 [190]P6(x1901,f5(f5(x1902,x1901,a1),f6(a1),a1),a1)
% 0.94/0.95 [192]P6(x1921,f5(f5(x1921,x1922,a1),f6(a1),a1),a1)
% 0.94/0.95 [181]E(f7(x1811,f5(x1812,f6(a1),a1),a1),f5(x1811,f7(x1811,x1812,a1),a1))
% 0.94/0.95 [182]E(f7(f5(x1821,f6(a1),a1),x1822,a1),f5(x1822,f7(x1821,x1822,a1),a1))
% 0.94/0.95 [184]E(f5(f5(x1841,f6(a1),a1),x1842,a1),f5(f5(x1841,x1842,a1),f6(a1),a1))
% 0.94/0.95 [185]E(f2(f2(x1851,f6(a1),a1),x1852,a1),f2(x1851,f5(x1852,f6(a1),a1),a1))
% 0.94/0.95 [186]E(f5(f5(x1861,f6(a1),a1),x1862,a1),f5(x1861,f5(x1862,f6(a1),a1),a1))
% 0.94/0.95 [201]E(f8(f5(x2011,f6(a1),a1),f5(x2012,f6(a1),a1),a1),f5(f8(x2011,x2012,a1),f6(a1),a1))
% 0.94/0.95 [202]E(f14(f5(x2021,f6(a1),a1),f5(x2022,f6(a1),a1),a1),f5(f14(x2021,x2022,a1),f6(a1),a1))
% 0.94/0.95 [206]E(f3(f5(f3(x2061,x2062,a1),f6(a1),a1),x2062,a1),f3(f5(x2061,f6(a1),a1),x2062,a1))
% 0.94/0.95 [171]E(f11(f13(x1711,f5(x1712,f6(a1),a1))),f13(f11(x1711),x1712))
% 0.94/0.95 [212]~E(f9(x2121),f10(x2122,x2123))
% 0.94/0.95 [213]~E(f11(x2131),f10(x2132,x2133))
% 0.94/0.95 [214]~E(f10(x2141,x2142),f9(x2143))
% 0.94/0.95 [215]~E(f10(x2151,x2152),f11(x2153))
% 0.94/0.95 [139]E(f12(f13(x1391,x1392),x1393,x1392),x1391)
% 0.94/0.95 [142]E(f10(f13(x1421,x1422),f13(x1423,x1422)),f13(f10(x1421,x1423),x1422))
% 0.94/0.95 [174]E(f5(x1741,f5(x1742,x1743,a1),a1),f5(x1742,f5(x1741,x1743,a1),a1))
% 0.94/0.95 [175]E(f5(f5(x1751,x1752,a1),x1753,a1),f5(x1751,f5(x1752,x1753,a1),a1))
% 0.94/0.95 [176]E(f2(f2(x1761,x1762,a1),x1763,a1),f2(x1761,f5(x1762,x1763,a1),a1))
% 0.94/0.95 [177]E(f7(f7(x1771,x1772,a1),x1773,a1),f7(x1771,f7(x1772,x1773,a1),a1))
% 0.94/0.95 [178]E(f2(f2(x1781,x1782,a1),x1783,a1),f2(f2(x1781,x1783,a1),x1782,a1))
% 0.94/0.95 [179]E(f2(f5(x1791,x1792,a1),f5(x1793,x1792,a1),a1),f2(x1791,x1793,a1))
% 0.94/0.95 [180]E(f2(f5(x1801,x1802,a1),f5(x1801,x1803,a1),a1),f2(x1802,x1803,a1))
% 0.94/0.95 [194]E(f5(f7(x1941,x1942,a1),f7(x1941,x1943,a1),a1),f7(x1941,f5(x1942,x1943,a1),a1))
% 0.94/0.95 [195]E(f2(f7(x1951,x1952,a1),f7(x1951,x1953,a1),a1),f7(x1951,f2(x1952,x1953,a1),a1))
% 0.94/0.95 [196]E(f3(f7(x1961,x1962,a1),f7(x1961,x1963,a1),a1),f7(x1961,f3(x1962,x1963,a1),a1))
% 0.94/0.95 [197]E(f5(f7(x1971,x1972,a1),f7(x1973,x1972,a1),a1),f7(f5(x1971,x1973,a1),x1972,a1))
% 0.94/0.95 [198]E(f2(f7(x1981,x1982,a1),f7(x1983,x1982,a1),a1),f7(f2(x1981,x1983,a1),x1982,a1))
% 0.94/0.95 [199]E(f3(f7(x1991,x1992,a1),f7(x1993,x1992,a1),a1),f7(f3(x1991,x1993,a1),x1992,a1))
% 0.94/0.95 [200]E(f14(f2(x2001,x2002,a1),f2(x2003,x2002,a1),a1),f2(f14(x2001,x2003,a1),x2002,a1))
% 0.94/0.95 [193]E(f3(f5(f7(x1931,x1932,a1),x1933,a1),x1932,a1),f3(x1933,x1932,a1))
% 0.94/0.95 [207]E(f2(f2(f5(x2071,f6(a1),a1),x2072,a1),f5(x2073,f6(a1),a1),a1),f2(f2(x2071,x2072,a1),x2073,a1))
% 0.94/0.95 [209]E(f3(f5(f5(f7(x2091,x2092,a1),x2093,a1),f6(a1),a1),x2092,a1),f3(f5(x2093,f6(a1),a1),x2092,a1))
% 0.94/0.95 [203]E(f11(f12(x2031,f13(x2032,f4(a1)),f5(x2033,f6(a1),a1))),f12(f11(x2031),x2032,x2033))
% 0.94/0.95 [173]E(f10(f12(x1731,x1732,x1733),f12(x1734,x1732,x1733)),f12(f10(x1731,x1734),x1732,x1733))
% 0.94/0.95 [208]E(f5(f7(x2081,x2082,a1),f5(f7(x2083,x2082,a1),x2084,a1),a1),f5(f7(f5(x2081,x2083,a1),x2082,a1),x2084,a1))
% 0.94/0.95 [234]~P5(x2341)+P5(f11(x2341))
% 0.94/0.95 [236]~P41(x2361)+~E(f6(x2361),f4(x2361))
% 0.94/0.95 [241]E(x2411,f4(a1))+P6(f4(a1),x2411,a1)
% 0.94/0.95 [276]~P37(x2761)+P7(f4(x2761),f6(x2761),x2761)
% 0.94/0.95 [277]~P37(x2771)+P6(f4(x2771),f6(x2771),x2771)
% 0.94/0.95 [291]E(x2911,f4(a1))+~P7(x2911,f4(a1),a1)
% 0.94/0.95 [309]~P37(x3091)+~P7(f6(x3091),f4(x3091),x3091)
% 0.94/0.95 [310]~P37(x3101)+~P6(f6(x3101),f4(x3101),x3101)
% 0.94/0.95 [279]~P21(x2791)+E(f5(f4(x2791),f4(x2791),x2791),f4(x2791))
% 0.94/0.95 [398]~P37(x3981)+P6(f4(x3981),f5(f6(x3981),f6(x3981),x3981),x3981)
% 0.94/0.95 [468]~P6(f4(a1),x4681,a1)+E(f5(f2(x4681,f6(a1),a1),f6(a1),a1),x4681)
% 0.94/0.95 [475]E(x4751,f4(a1))+~P6(x4751,f5(f4(a1),f6(a1),a1),a1)
% 0.94/0.95 [714]~P6(f4(a1),x7141,a1)+E(f5(f2(x7141,f5(f4(a1),f6(a1),a1),a1),f6(a1),a1),x7141)
% 0.94/0.95 [523]~P40(x5231)+E(f5(f7(f4(x5231),f4(x5231),x5231),f7(f4(x5231),f4(x5231),x5231),x5231),f4(x5231))
% 0.94/0.95 [787]~P40(x7871)+P7(f5(f7(f4(x7871),f4(x7871),x7871),f7(f4(x7871),f4(x7871),x7871),x7871),f4(x7871),x7871)
% 0.94/0.95 [816]~P40(x8161)+~P6(f4(x8161),f5(f7(f4(x8161),f4(x8161),x8161),f7(f4(x8161),f4(x8161),x8161),x8161),x8161)
% 0.94/0.95 [242]~P27(x2422)+P7(x2421,x2421,x2422)
% 0.94/0.95 [243]~P28(x2432)+P7(x2431,x2431,x2432)
% 0.94/0.95 [293]~P6(x2932,x2932,x2931)+~P1(x2931)
% 0.94/0.95 [294]~P6(x2942,x2942,x2941)+~P27(x2941)
% 0.94/0.95 [295]~P6(x2952,x2952,x2951)+~P28(x2951)
% 0.94/0.95 [300]P7(x3002,x3001,a1)+P7(x3001,x3002,a1)
% 0.94/0.95 [331]~P6(x3311,x3312,a1)+P7(x3311,x3312,a1)
% 0.94/0.95 [232]E(x2321,x2322)+~E(f9(x2321),f9(x2322))
% 0.94/0.95 [233]E(x2331,x2332)+~E(f11(x2331),f11(x2332))
% 0.94/0.95 [237]~P5(x2371)+P5(f13(x2371,x2372))
% 0.94/0.95 [240]~P8(x2401,x2402)+P8(f11(x2401),f11(x2402))
% 0.94/0.95 [244]~P1(x2442)+E(f8(x2441,x2441,x2442),x2441)
% 0.94/0.95 [245]~P1(x2452)+E(f14(x2451,x2451,x2452),x2451)
% 0.94/0.95 [246]~P15(x2462)+E(f7(x2461,x2461,x2462),x2461)
% 0.94/0.95 [247]~P11(x2472)+E(f2(x2471,x2471,x2472),f4(x2472))
% 0.94/0.95 [249]~P20(x2492)+E(f2(x2491,x2491,x2492),f4(x2492))
% 0.94/0.95 [250]~P4(x2502)+E(f3(x2501,x2501,x2502),f4(x2502))
% 0.94/0.95 [281]~E(f5(x2812,x2811,a1),x2812)+E(x2811,f4(a1))
% 0.94/0.95 [287]E(x2871,f4(a1))+~E(f5(x2872,x2871,a1),f4(a1))
% 0.94/0.95 [288]E(x2881,f6(a1))+~E(f7(x2882,x2881,a1),f6(a1))
% 0.94/0.95 [289]E(x2891,f4(a1))+~E(f5(x2891,x2892,a1),f4(a1))
% 0.94/0.95 [290]E(x2901,f6(a1))+~E(f7(x2901,x2902,a1),f6(a1))
% 0.94/0.95 [332]~P6(x3321,x3322,a1)+E(f3(x3321,x3322,a1),x3321)
% 0.94/0.95 [333]~P7(x3331,x3332,a1)+E(f2(x3331,x3332,a1),f4(a1))
% 0.94/0.95 [337]P7(x3371,x3372,a1)+~E(f2(x3371,x3372,a1),f4(a1))
% 0.94/0.95 [372]~P40(x3721)+P7(f4(x3721),f7(x3722,x3722,x3721),x3721)
% 0.94/0.95 [438]~P6(x4382,x4381,a1)+P6(f4(a1),f2(x4381,x4382,a1),a1)
% 0.94/0.95 [439]P7(f3(x4391,x4392,a1),x4392,a1)+~P6(f4(a1),x4392,a1)
% 0.94/0.95 [440]P6(f3(x4401,x4402,a1),x4402,a1)+~P6(f4(a1),x4402,a1)
% 0.94/0.95 [481]~P40(x4811)+~P6(f7(x4812,x4812,x4811),f4(x4811),x4811)
% 0.94/0.95 [492]P6(x4921,x4922,a1)+~P6(f4(a1),f2(x4922,x4921,a1),a1)
% 0.94/0.95 [493]P6(f4(a1),x4931,a1)+~P6(f4(a1),f7(x4932,x4931,a1),a1)
% 0.94/0.95 [494]P6(f4(a1),x4941,a1)+~P6(f4(a1),f7(x4941,x4942,a1),a1)
% 0.94/0.95 [251]~P3(x2512)+E(f5(x2511,f4(x2512),x2512),x2511)
% 0.94/0.95 [252]~P26(x2522)+E(f5(x2521,f4(x2522),x2522),x2521)
% 0.94/0.95 [253]~P19(x2532)+E(f5(x2531,f4(x2532),x2532),x2531)
% 0.94/0.95 [254]~P20(x2542)+E(f2(x2541,f4(x2542),x2542),x2541)
% 0.94/0.95 [255]~P26(x2552)+E(f7(x2551,f6(x2552),x2552),x2551)
% 0.94/0.95 [256]~P18(x2562)+E(f7(x2561,f6(x2562),x2562),x2561)
% 0.94/0.95 [257]~P4(x2572)+E(f3(x2571,f4(x2572),x2572),x2571)
% 0.94/0.95 [258]~P3(x2581)+E(f5(f4(x2581),x2582,x2581),x2582)
% 0.94/0.95 [260]~P26(x2601)+E(f5(f4(x2601),x2602,x2601),x2602)
% 0.94/0.95 [261]~P19(x2611)+E(f5(f4(x2611),x2612,x2611),x2612)
% 0.94/0.95 [263]~P26(x2631)+E(f7(f6(x2631),x2632,x2631),x2632)
% 0.94/0.95 [264]~P17(x2641)+E(f7(f6(x2641),x2642,x2641),x2642)
% 0.94/0.95 [265]~P18(x2651)+E(f7(f6(x2651),x2652,x2651),x2652)
% 0.94/0.95 [266]~P26(x2662)+E(f7(x2661,f4(x2662),x2662),f4(x2662))
% 0.94/0.95 [267]~P46(x2672)+E(f7(x2671,f4(x2672),x2672),f4(x2672))
% 0.94/0.95 [268]~P33(x2682)+E(f7(x2681,f4(x2682),x2682),f4(x2682))
% 0.94/0.95 [269]~P4(x2692)+E(f3(x2691,f6(x2692),x2692),f4(x2692))
% 0.94/0.95 [271]~P26(x2711)+E(f7(f4(x2711),x2712,x2711),f4(x2711))
% 0.94/0.95 [272]~P46(x2721)+E(f7(f4(x2721),x2722,x2721),f4(x2721))
% 0.94/0.95 [273]~P33(x2731)+E(f7(f4(x2731),x2732,x2731),f4(x2731))
% 0.94/0.95 [274]~P4(x2741)+E(f3(f4(x2741),x2742,x2741),f4(x2741))
% 0.94/0.95 [302]~P6(x3021,x3022,a1)+E(f13(f9(x3021),x3022),f9(x3021))
% 0.94/0.95 [389]~P37(x3892)+P6(x3891,f5(x3891,f6(x3892),x3892),x3892)
% 0.94/0.95 [400]P6(x4002,x4001,a1)+E(f5(x4001,f2(x4002,x4001,a1),a1),x4002)
% 0.94/0.95 [401]P6(x4011,x4012,a1)+P6(x4012,f5(x4011,f6(a1),a1),a1)
% 0.94/0.95 [403]P7(x4031,x4032,a1)+P7(f5(x4032,f6(a1),a1),x4031,a1)
% 0.94/0.95 [419]E(x4191,f5(f4(a1),f6(a1),a1))+~E(f7(x4192,x4191,a1),f5(f4(a1),f6(a1),a1))
% 0.94/0.95 [420]E(x4201,f5(f4(a1),f6(a1),a1))+~E(f7(x4201,x4202,a1),f5(f4(a1),f6(a1),a1))
% 0.94/0.95 [435]~P7(x4351,x4352,a1)+E(f5(x4351,f2(x4352,x4351,a1),a1),x4352)
% 0.94/0.95 [436]~P7(x4362,x4361,a1)+E(f2(x4361,f2(x4361,x4362,a1),a1),x4362)
% 0.94/0.95 [437]~P7(x4372,x4371,a1)+E(f5(f2(x4371,x4372,a1),x4372,a1),x4371)
% 0.94/0.95 [442]~P7(x4421,x4422,a1)+P6(x4421,f5(x4422,f6(a1),a1),a1)
% 0.94/0.95 [446]~P6(x4461,x4462,a1)+P7(f5(x4461,f6(a1),a1),x4462,a1)
% 0.94/0.95 [474]P6(x4741,x4742,a1)+E(f3(f2(x4741,x4742,a1),x4742,a1),f3(x4741,x4742,a1))
% 0.94/0.95 [482]~P7(x4822,x4821,a1)+E(f3(f2(x4821,x4822,a1),x4822,a1),f3(x4821,x4822,a1))
% 0.94/0.95 [495]P7(x4951,x4952,a1)+~P6(x4951,f5(x4952,f6(a1),a1),a1)
% 0.94/0.95 [498]P6(x4981,x4982,a1)+~P7(f5(x4981,f6(a1),a1),x4982,a1)
% 0.94/0.95 [553]~P6(x5531,x5532,a1)+~P6(x5532,f5(x5531,f6(a1),a1),a1)
% 0.94/0.95 [554]~P7(x5541,x5542,a1)+~P7(f5(x5542,f6(a1),a1),x5541,a1)
% 0.94/0.95 [660]E(x6601,f4(a1))+E(f5(f5(f2(x6601,f6(a1),a1),x6602,a1),f6(a1),a1),f5(x6601,x6602,a1))
% 0.94/0.95 [715]P7(x7151,x7152,a1)+~P7(f5(x7151,f6(a1),a1),f5(x7152,f6(a1),a1),a1)
% 0.94/0.95 [716]P6(x7161,x7162,a1)+~P6(f5(x7161,f6(a1),a1),f5(x7162,f6(a1),a1),a1)
% 0.94/0.95 [766]P7(f5(f4(a1),f6(a1),a1),x7661,a1)+~P7(f5(f4(a1),f6(a1),a1),f7(x7662,x7661,a1),a1)
% 0.94/0.95 [767]P7(f5(f4(a1),f6(a1),a1),x7671,a1)+~P7(f5(f4(a1),f6(a1),a1),f7(x7671,x7672,a1),a1)
% 0.94/0.95 [396]P6(x3961,x3962,a1)+E(f13(f9(x3961),x3962),f9(f5(x3961,f6(a1),a1)))
% 0.94/0.95 [447]~P26(x4472)+E(f5(x4471,x4471,x4472),f7(f5(f6(x4472),f6(x4472),x4472),x4471,x4472))
% 0.94/0.95 [645]~E(f5(f3(x6451,x6452,a1),f6(a1),a1),x6452)+E(f3(f5(x6451,f6(a1),a1),x6452,a1),f4(a1))
% 0.94/0.95 [705]~P6(f6(a1),x7051,a1)+E(f3(f5(f7(x7051,x7052,a1),f6(a1),a1),x7051,a1),f6(a1))
% 0.94/0.95 [710]~P6(f4(a1),x7101,a1)+P6(f2(x7101,f5(x7102,f6(a1),a1),a1),x7101,a1)
% 0.94/0.95 [717]E(f5(f3(x7171,x7172,a1),f6(a1),a1),x7172)+E(f3(f5(x7171,f6(a1),a1),x7172,a1),f5(f3(x7171,x7172,a1),f6(a1),a1))
% 0.94/0.95 [653]E(x6531,f4(a1))+E(f5(x6532,f7(f2(x6531,f6(a1),a1),x6532,a1),a1),f7(x6531,x6532,a1))
% 0.94/0.95 [282]~P8(x2821,x2823)+P8(f10(x2821,x2822),f10(x2823,x2822))
% 0.94/0.95 [283]~P8(x2832,x2833)+P8(f10(x2831,x2832),f10(x2831,x2833))
% 0.94/0.95 [284]~P8(x2841,x2843)+P8(f13(x2841,x2842),f13(x2843,x2842))
% 0.94/0.95 [312]~P1(x3123)+E(f8(x3121,x3122,x3123),f8(x3122,x3121,x3123))
% 0.94/0.95 [313]~P1(x3133)+E(f14(x3131,x3132,x3133),f14(x3132,x3131,x3133))
% 0.94/0.95 [314]~P3(x3143)+E(f5(x3141,x3142,x3143),f5(x3142,x3141,x3143))
% 0.94/0.95 [316]~P26(x3163)+E(f5(x3161,x3162,x3163),f5(x3162,x3161,x3163))
% 0.94/0.95 [318]~P26(x3183)+E(f7(x3181,x3182,x3183),f7(x3182,x3181,x3183))
% 0.94/0.95 [356]E(x3561,x3562)+~E(f5(x3563,x3561,a1),f5(x3563,x3562,a1))
% 0.94/0.95 [357]E(x3571,x3572)+~E(f5(x3571,x3573,a1),f5(x3572,x3573,a1))
% 0.94/0.95 [358]~P1(x3583)+P7(x3581,f8(x3582,x3581,x3583),x3583)
% 0.94/0.95 [359]~P1(x3593)+P7(x3591,f8(x3591,x3592,x3593),x3593)
% 0.94/0.95 [360]~P1(x3603)+P7(f14(x3601,x3602,x3603),x3602,x3603)
% 0.94/0.95 [361]~P1(x3613)+P7(f14(x3611,x3612,x3613),x3611,x3613)
% 0.94/0.95 [426]~P7(x4261,x4263,a1)+P7(x4261,f5(x4262,x4263,a1),a1)
% 0.94/0.95 [428]~P7(x4281,x4282,a1)+P7(x4281,f5(x4282,x4283,a1),a1)
% 0.94/0.95 [430]~P6(x4301,x4303,a1)+P6(x4301,f5(x4302,x4303,a1),a1)
% 0.94/0.95 [432]~P6(x4321,x4322,a1)+P6(x4321,f5(x4322,x4323,a1),a1)
% 0.94/0.95 [433]~P6(x4331,x4333,a1)+P6(f2(x4331,x4332,a1),x4333,a1)
% 0.94/0.95 [487]P7(x4871,x4872,a1)+~P7(f5(x4873,x4871,a1),x4872,a1)
% 0.94/0.95 [488]P7(x4881,x4882,a1)+~P7(f5(x4881,x4883,a1),x4882,a1)
% 0.94/0.95 [489]P6(x4891,x4892,a1)+~P6(f5(x4891,x4893,a1),x4892,a1)
% 0.94/0.95 [515]P7(f7(x5152,x5151,a1),f7(x5153,x5151,a1),a1)+P6(f4(a1),x5151,a1)
% 0.94/0.95 [516]P7(f7(x5161,x5162,a1),f7(x5161,x5163,a1),a1)+P6(f4(a1),x5161,a1)
% 0.94/0.95 [566]~P7(x5661,x5663,a1)+P7(f5(x5661,x5662,a1),f5(x5663,x5662,a1),a1)
% 0.94/0.95 [567]~P7(x5672,x5673,a1)+P7(f5(x5671,x5672,a1),f5(x5671,x5673,a1),a1)
% 0.94/0.95 [568]~P7(x5681,x5683,a1)+P7(f2(x5681,x5682,a1),f2(x5683,x5682,a1),a1)
% 0.94/0.95 [569]~P7(x5693,x5692,a1)+P7(f2(x5691,x5692,a1),f2(x5691,x5693,a1),a1)
% 0.94/0.95 [571]~P7(x5711,x5713,a1)+P7(f7(x5711,x5712,a1),f7(x5713,x5712,a1),a1)
% 0.94/0.95 [573]~P7(x5732,x5733,a1)+P7(f7(x5731,x5732,a1),f7(x5731,x5733,a1),a1)
% 0.94/0.95 [574]~P6(x5741,x5743,a1)+P6(f5(x5741,x5742,a1),f5(x5743,x5742,a1),a1)
% 0.94/0.95 [575]~P6(x5752,x5753,a1)+P6(f5(x5751,x5752,a1),f5(x5751,x5753,a1),a1)
% 0.94/0.95 [639]~P7(f2(x6391,x6393,a1),x6392,a1)+P7(x6391,f5(x6392,x6393,a1),a1)
% 0.94/0.95 [640]~P6(f5(x6401,x6403,a1),x6402,a1)+P6(x6401,f2(x6402,x6403,a1),a1)
% 0.94/0.95 [641]~P7(x6411,f5(x6413,x6412,a1),a1)+P7(f2(x6411,x6412,a1),x6413,a1)
% 0.94/0.95 [642]~P6(x6421,f2(x6423,x6422,a1),a1)+P6(f5(x6421,x6422,a1),x6423,a1)
% 0.94/0.95 [706]P7(x7061,x7062,a1)+~P7(f5(x7063,x7061,a1),f5(x7063,x7062,a1),a1)
% 0.94/0.95 [707]P6(x7071,x7072,a1)+~P6(f5(x7073,x7071,a1),f5(x7073,x7072,a1),a1)
% 0.94/0.95 [708]P6(x7081,x7082,a1)+~P6(f7(x7083,x7081,a1),f7(x7083,x7082,a1),a1)
% 0.94/0.95 [709]P6(x7091,x7092,a1)+~P6(f7(x7091,x7093,a1),f7(x7092,x7093,a1),a1)
% 0.94/0.95 [711]~P6(f7(x7112,x7111,a1),f7(x7113,x7111,a1),a1)+P6(f4(a1),x7111,a1)
% 0.94/0.95 [712]~P6(f7(x7121,x7122,a1),f7(x7121,x7123,a1),a1)+P6(f4(a1),x7121,a1)
% 0.94/0.95 [340]~P6(x3401,x3403,a1)+E(f12(f9(x3401),x3402,x3403),f9(x3401))
% 0.94/0.95 [362]~P1(x3623)+E(f8(x3621,f14(x3621,x3622,x3623),x3623),x3621)
% 0.94/0.95 [363]~P1(x3633)+E(f14(x3631,f8(x3631,x3632,x3633),x3633),x3631)
% 0.94/0.95 [364]~P20(x3643)+E(f5(f2(x3641,x3642,x3643),x3642,x3643),x3641)
% 0.94/0.95 [365]~P20(x3653)+E(f2(f5(x3651,x3652,x3653),x3652,x3653),x3651)
% 0.94/0.95 [367]~P4(x3673)+E(f3(f7(x3671,x3672,x3673),x3672,x3673),f4(x3673))
% 0.94/0.95 [368]~P4(x3683)+E(f3(f7(x3681,x3682,x3683),x3681,x3683),f4(x3683))
% 0.94/0.95 [405]~P1(x4053)+E(f8(x4051,f8(x4051,x4052,x4053),x4053),f8(x4051,x4052,x4053))
% 0.94/0.95 [406]~P1(x4063)+E(f14(x4061,f14(x4061,x4062,x4063),x4063),f14(x4061,x4062,x4063))
% 0.94/0.95 [407]~P15(x4073)+E(f7(x4071,f7(x4071,x4072,x4073),x4073),f7(x4071,x4072,x4073))
% 0.94/0.95 [408]~P4(x4083)+E(f3(f5(x4081,x4082,x4083),x4082,x4083),f3(x4081,x4082,x4083))
% 0.94/0.95 [409]~P4(x4093)+E(f3(f5(x4091,x4092,x4093),x4091,x4093),f3(x4092,x4091,x4093))
% 0.94/0.95 [410]~P4(x4103)+E(f3(f3(x4101,x4102,x4103),x4102,x4103),f3(x4101,x4102,x4103))
% 0.94/0.95 [634]~P7(x6342,x6343,a1)+E(f2(f5(x6341,x6342,a1),x6343,a1),f2(x6341,f2(x6343,x6342,a1),a1))
% 0.94/0.95 [635]~P7(x6353,x6352,a1)+E(f2(f5(x6351,x6352,a1),x6353,a1),f5(x6351,f2(x6352,x6353,a1),a1))
% 0.94/0.95 [637]~P7(x6373,x6371,a1)+E(f2(f5(x6371,x6372,a1),x6373,a1),f5(f2(x6371,x6373,a1),x6372,a1))
% 0.94/0.95 [684]~P7(x6843,x6842,a1)+P7(x6841,f2(f5(x6842,x6841,a1),x6843,a1),a1)
% 0.94/0.95 [769]~P40(x7691)+P7(f4(x7691),f5(f7(x7692,x7692,x7691),f7(x7693,x7693,x7691),x7691),x7691)
% 0.94/0.95 [809]~P40(x8091)+~P6(f5(f7(x8092,x8092,x8091),f7(x8093,x8093,x8091),x8091),f4(x8091),x8091)
% 0.94/0.95 [471]~P6(x4713,x4711,a1)+E(f12(f9(x4711),x4712,x4713),f9(f2(x4711,f6(a1),a1)))
% 0.94/0.95 [563]~P26(x5633)+E(f5(x5631,f7(x5632,x5631,x5633),x5633),f7(f5(x5632,f6(x5633),x5633),x5631,x5633))
% 0.94/0.95 [564]~P26(x5643)+E(f5(f7(x5641,x5642,x5643),x5642,x5643),f7(f5(x5641,f6(x5643),x5643),x5642,x5643))
% 0.94/0.95 [679]~P6(x6792,f5(x6793,f6(a1),a1),a1)+E(f13(f13(x6791,x6792),f5(x6793,f6(a1),a1)),f13(f13(x6791,x6793),x6792))
% 0.94/0.95 [728]E(x7281,x7282)+~E(f7(f5(x7283,f6(a1),a1),x7281,a1),f7(f5(x7283,f6(a1),a1),x7282,a1))
% 0.94/0.95 [789]~P7(x7892,x7893,a1)+E(f2(f5(x7891,x7892,a1),f5(x7893,f6(a1),a1),a1),f2(x7891,f5(f2(x7893,x7892,a1),f6(a1),a1),a1))
% 0.94/0.95 [790]~P7(x7902,x7901,a1)+E(f2(f5(f2(x7901,x7902,a1),f6(a1),a1),x7903,a1),f2(f5(x7901,f6(a1),a1),f5(x7902,x7903,a1),a1))
% 0.94/0.95 [795]~P6(x7952,x7953,a1)+P6(f7(f5(x7951,f6(a1),a1),x7952,a1),f7(f5(x7951,f6(a1),a1),x7953,a1),a1)
% 0.94/0.95 [819]P7(x8191,x8192,a1)+~P7(f7(f5(x8193,f6(a1),a1),x8191,a1),f7(f5(x8193,f6(a1),a1),x8192,a1),a1)
% 0.94/0.95 [238]E(x2381,x2382)+~E(f10(x2383,x2381),f10(x2384,x2382))
% 0.94/0.95 [239]E(x2391,x2392)+~E(f10(x2391,x2393),f10(x2392,x2394))
% 0.94/0.95 [450]~P8(x4501,x4504)+P8(f12(x4501,x4502,x4503),f12(x4504,x4502,x4503))
% 0.94/0.95 [525]~P1(x5254)+E(f8(x5251,f8(x5252,x5253,x5254),x5254),f8(x5252,f8(x5251,x5253,x5254),x5254))
% 0.94/0.95 [526]~P1(x5264)+E(f14(x5261,f14(x5262,x5263,x5264),x5264),f14(x5262,f14(x5261,x5263,x5264),x5264))
% 0.94/0.95 [527]~P3(x5274)+E(f5(x5271,f5(x5272,x5273,x5274),x5274),f5(x5272,f5(x5271,x5273,x5274),x5274))
% 0.94/0.95 [528]~P26(x5284)+E(f5(x5281,f5(x5282,x5283,x5284),x5284),f5(x5282,f5(x5281,x5283,x5284),x5284))
% 0.94/0.95 [529]~P11(x5294)+E(f5(x5291,f5(x5292,x5293,x5294),x5294),f5(x5292,f5(x5291,x5293,x5294),x5294))
% 0.94/0.95 [530]~P26(x5304)+E(f7(x5301,f7(x5302,x5303,x5304),x5304),f7(x5302,f7(x5301,x5303,x5304),x5304))
% 0.94/0.95 [535]~P1(x5353)+E(f8(f8(x5351,x5352,x5353),x5354,x5353),f8(x5351,f8(x5352,x5354,x5353),x5353))
% 0.94/0.95 [536]~P1(x5363)+E(f14(f14(x5361,x5362,x5363),x5364,x5363),f14(x5361,f14(x5362,x5364,x5363),x5363))
% 0.94/0.95 [537]~P3(x5373)+E(f5(f5(x5371,x5372,x5373),x5374,x5373),f5(x5371,f5(x5372,x5374,x5373),x5373))
% 0.94/0.95 [538]~P26(x5383)+E(f5(f5(x5381,x5382,x5383),x5384,x5383),f5(x5381,f5(x5382,x5384,x5383),x5383))
% 0.94/0.95 [539]~P10(x5393)+E(f5(f5(x5391,x5392,x5393),x5394,x5393),f5(x5391,f5(x5392,x5394,x5393),x5393))
% 0.94/0.95 [540]~P26(x5403)+E(f7(f7(x5401,x5402,x5403),x5404,x5403),f7(x5401,f7(x5402,x5404,x5403),x5403))
% 0.94/0.95 [541]~P14(x5413)+E(f7(f7(x5411,x5412,x5413),x5414,x5413),f7(x5411,f7(x5412,x5414,x5413),x5413))
% 0.94/0.95 [542]~P26(x5423)+E(f5(f5(x5421,x5422,x5423),x5424,x5423),f5(f5(x5421,x5424,x5423),x5422,x5423))
% 0.94/0.95 [543]~P26(x5433)+E(f7(f7(x5431,x5432,x5433),x5434,x5433),f7(f7(x5431,x5434,x5433),x5432,x5433))
% 0.94/0.95 [663]~P1(x6633)+E(f14(f8(x6631,x6632,x6633),f8(x6631,x6634,x6633),x6633),f8(x6631,f14(x6632,x6634,x6633),x6633))
% 0.94/0.95 [664]~P1(x6643)+E(f8(f14(x6641,x6642,x6643),f14(x6641,x6644,x6643),x6643),f14(x6641,f8(x6642,x6644,x6643),x6643))
% 0.94/0.95 [665]~P26(x6653)+E(f5(f7(x6651,x6652,x6653),f7(x6651,x6654,x6653),x6653),f7(x6651,f5(x6652,x6654,x6653),x6653))
% 0.94/0.95 [666]~P1(x6663)+E(f14(f8(x6661,x6662,x6663),f8(x6664,x6662,x6663),x6663),f8(f14(x6661,x6664,x6663),x6662,x6663))
% 0.94/0.95 [667]~P1(x6673)+E(f8(f14(x6671,x6672,x6673),f14(x6674,x6672,x6673),x6673),f14(f8(x6671,x6674,x6673),x6672,x6673))
% 0.94/0.95 [668]~P2(x6683)+E(f8(f5(x6681,x6682,x6683),f5(x6684,x6682,x6683),x6683),f5(f8(x6681,x6684,x6683),x6682,x6683))
% 0.94/0.95 [669]~P2(x6693)+E(f14(f5(x6691,x6692,x6693),f5(x6694,x6692,x6693),x6693),f5(f14(x6691,x6694,x6693),x6692,x6693))
% 0.94/0.95 [670]~P23(x6703)+E(f8(f2(x6701,x6702,x6703),f2(x6704,x6702,x6703),x6703),f2(f8(x6701,x6704,x6703),x6702,x6703))
% 0.94/0.95 [671]~P23(x6713)+E(f14(f2(x6711,x6712,x6713),f2(x6714,x6712,x6713),x6713),f2(f14(x6711,x6714,x6713),x6712,x6713))
% 0.94/0.95 [673]~P29(x6733)+E(f5(f7(x6731,x6732,x6733),f7(x6734,x6732,x6733),x6733),f7(f5(x6731,x6734,x6733),x6732,x6733))
% 0.94/0.95 [674]~P4(x6743)+E(f3(f7(x6741,x6742,x6743),f7(x6741,x6744,x6743),x6743),f7(x6741,f3(x6742,x6744,x6743),x6743))
% 0.94/0.95 [675]~P26(x6753)+E(f5(f7(x6751,x6752,x6753),f7(x6754,x6752,x6753),x6753),f7(f5(x6751,x6754,x6753),x6752,x6753))
% 0.94/0.95 [676]~P4(x6763)+E(f3(f7(x6761,x6762,x6763),f7(x6764,x6762,x6763),x6763),f7(f3(x6761,x6764,x6763),x6762,x6763))
% 0.94/0.95 [788]E(f12(f13(x7881,f5(x7882,f6(a1),a1)),f13(x7883,x7882),x7884),f13(f12(x7881,x7883,x7884),x7882))+~P6(x7884,f5(x7882,f6(a1),a1),a1)
% 0.94/0.95 [805]~P1(x8054)+P7(f8(x8051,f14(x8052,x8053,x8054),x8054),f14(f8(x8051,x8052,x8054),f8(x8051,x8053,x8054),x8054),x8054)
% 0.94/0.95 [806]~P1(x8063)+P7(f8(f14(x8061,x8062,x8063),f14(x8061,x8064,x8063),x8063),f14(x8061,f8(x8062,x8064,x8063),x8063),x8063)
% 0.94/0.95 [661]~P4(x6614)+E(f3(f5(x6611,f7(x6612,x6613,x6614),x6614),x6613,x6614),f3(x6611,x6613,x6614))
% 0.94/0.95 [662]~P4(x6624)+E(f3(f5(x6621,f7(x6622,x6623,x6624),x6624),x6622,x6624),f3(x6621,x6622,x6624))
% 0.94/0.96 [733]~P9(x7334)+E(f3(f2(x7331,f3(x7332,x7333,x7334),x7334),x7333,x7334),f3(f2(x7331,x7332,x7334),x7333,x7334))
% 0.94/0.96 [734]~P4(x7344)+E(f3(f7(x7341,f3(x7342,x7343,x7344),x7344),x7343,x7344),f3(f7(x7341,x7342,x7344),x7343,x7344))
% 0.94/0.96 [736]~P9(x7363)+E(f3(f2(f3(x7361,x7362,x7363),x7364,x7363),x7362,x7363),f3(f2(x7361,x7364,x7363),x7362,x7363))
% 0.94/0.96 [738]~P4(x7384)+E(f3(f5(x7381,f3(x7382,x7383,x7384),x7384),x7383,x7384),f3(f5(x7381,x7382,x7384),x7383,x7384))
% 0.94/0.96 [739]~P4(x7393)+E(f3(f5(f3(x7391,x7392,x7393),x7394,x7393),x7392,x7393),f3(f5(x7391,x7394,x7393),x7392,x7393))
% 0.94/0.96 [740]~P4(x7403)+E(f3(f7(f3(x7401,x7402,x7403),x7404,x7403),x7402,x7403),f3(f7(x7401,x7404,x7403),x7402,x7403))
% 0.94/0.96 [765]~P6(x7652,f5(x7654,f6(a1),a1),a1)+E(f12(f13(x7651,x7652),f13(x7653,x7652),f5(x7654,f6(a1),a1)),f13(f12(x7651,x7653,x7654),x7652))
% 0.94/0.96 [791]~P4(x7913)+E(f3(f5(f3(x7911,x7912,x7913),f3(x7914,x7912,x7913),x7913),x7912,x7913),f3(f5(x7911,x7914,x7913),x7912,x7913))
% 0.94/0.96 [792]~P9(x7923)+E(f3(f2(f3(x7921,x7922,x7923),f3(x7924,x7922,x7923),x7923),x7922,x7923),f3(f2(x7921,x7924,x7923),x7922,x7923))
% 0.94/0.96 [793]~P4(x7933)+E(f3(f7(f3(x7931,x7932,x7933),f3(x7934,x7932,x7933),x7933),x7932,x7933),f3(f7(x7931,x7934,x7933),x7932,x7933))
% 0.94/0.96 [818]~P7(x8181,x8183,a1)+E(f5(f7(x8181,x8182,a1),f5(f7(f2(x8183,x8181,a1),x8182,a1),x8184,a1),a1),f5(f7(x8183,x8182,a1),x8184,a1))
% 0.94/0.96 [741]~P26(x7413)+E(f5(f5(x7411,x7412,x7413),f5(x7414,x7415,x7413),x7413),f5(f5(x7411,x7414,x7413),f5(x7412,x7415,x7413),x7413))
% 0.94/0.96 [742]~P26(x7423)+E(f7(f7(x7421,x7422,x7423),f7(x7424,x7425,x7423),x7423),f7(f7(x7421,x7424,x7423),f7(x7422,x7425,x7423),x7423))
% 0.94/0.96 [768]E(f3(x7681,x7682,a1),f3(x7683,x7682,a1))+~E(f5(x7681,f7(x7682,x7684,a1),a1),f5(x7683,f7(x7682,x7685,a1),a1))
% 0.94/0.96 [812]E(f12(f12(x8121,f13(x8122,x8123),f5(x8124,f6(a1),a1)),f12(x8125,x8122,x8124),x8123),f12(f12(x8121,x8125,x8123),x8122,x8124))+~P6(x8123,f5(x8124,f6(a1),a1),a1)
% 0.94/0.96 [802]~P42(x8023)+E(f5(f7(x8021,x8022,x8023),f5(f7(x8024,x8022,x8023),x8025,x8023),x8023),f5(f7(f5(x8021,x8024,x8023),x8022,x8023),x8025,x8023))
% 0.94/0.96 [815]~P47(x8153)+E(f5(f7(x8151,x8152,x8153),f5(f7(f2(x8154,x8151,x8153),x8152,x8153),x8155,x8153),x8153),f5(f7(x8154,x8152,x8153),x8155,x8153))
% 0.94/0.96 [821]~P7(x8211,x8214,a1)+E(f2(f5(f7(x8211,x8212,a1),x8213,a1),f5(f7(x8214,x8212,a1),x8215,a1),a1),f2(x8213,f5(f7(f2(x8214,x8211,a1),x8212,a1),x8215,a1),a1))
% 0.94/0.96 [822]~P7(x8224,x8221,a1)+E(f2(f5(f7(x8221,x8222,a1),x8223,a1),f5(f7(x8224,x8222,a1),x8225,a1),a1),f2(f5(f7(f2(x8221,x8224,a1),x8222,a1),x8223,a1),x8225,a1))
% 0.94/0.96 [393]~P24(x3931)+~P7(f4(x3931),f4(x3931),x3931)+E(f5(f4(x3931),f4(x3931),x3931),f4(x3931))
% 0.94/0.96 [305]E(x3051,x3052)+P6(x3052,x3051,a1)+P6(x3051,x3052,a1)
% 0.94/0.96 [336]E(x3361,x3362)+P6(x3361,x3362,a1)+~P7(x3361,x3362,a1)
% 0.94/0.96 [366]E(x3661,x3662)+~P7(x3662,x3661,a1)+~P7(x3661,x3662,a1)
% 0.94/0.96 [275]~P35(x2752)+~P12(x2752)+E(f2(x2751,x2751,x2752),f4(x2752))
% 0.94/0.96 [292]~E(f7(x2922,x2921,a1),x2922)+E(x2921,f6(a1))+E(x2922,f4(a1))
% 0.94/0.96 [296]E(x2961,f4(a1))+E(x2962,f4(a1))+~E(f7(x2962,x2961,a1),f4(a1))
% 0.94/0.96 [299]~P21(x2992)+~E(f5(x2991,x2991,x2992),f4(x2992))+E(x2991,f4(x2992))
% 0.94/0.96 [373]E(x3731,x3732)+~E(f2(x3732,x3731,a1),f4(a1))+~E(f2(x3731,x3732,a1),f4(a1))
% 0.94/0.96 [476]~P21(x4761)+~P7(f4(x4761),x4762,x4761)+P7(f4(x4761),f5(x4762,x4762,x4761),x4761)
% 0.94/0.96 [477]~P21(x4771)+~P6(f4(x4771),x4772,x4771)+P6(f4(x4771),f5(x4772,x4772,x4771),x4771)
% 0.94/0.96 [478]~P21(x4782)+~P7(x4781,f4(x4782),x4782)+P7(f5(x4781,x4781,x4782),f4(x4782),x4782)
% 0.94/0.96 [479]~P21(x4792)+~P6(x4791,f4(x4792),x4792)+P6(f5(x4791,x4791,x4792),f4(x4792),x4792)
% 0.94/0.96 [480]~P39(x4802)+~P6(x4801,f4(x4802),x4802)+P6(f5(x4801,x4801,x4802),f4(x4802),x4802)
% 0.94/0.96 [545]~P21(x5452)+~P7(f5(x5451,x5451,x5452),f4(x5452),x5452)+P7(x5451,f4(x5452),x5452)
% 0.94/0.96 [546]~P21(x5462)+~P6(f5(x5461,x5461,x5462),f4(x5462),x5462)+P6(x5461,f4(x5462),x5462)
% 0.94/0.96 [547]~P39(x5472)+~P6(f5(x5471,x5471,x5472),f4(x5472),x5472)+P6(x5471,f4(x5472),x5472)
% 0.94/0.96 [548]~P21(x5481)+~P7(f4(x5481),f5(x5482,x5482,x5481),x5481)+P7(f4(x5481),x5482,x5481)
% 0.94/0.96 [549]~P21(x5491)+~P6(f4(x5491),f5(x5492,x5492,x5491),x5491)+P6(f4(x5491),x5492,x5491)
% 0.94/0.96 [550]P6(f2(x5501,x5502,a1),x5501,a1)+~P6(f4(a1),x5502,a1)+~P6(f4(a1),x5501,a1)
% 0.94/0.96 [552]~P6(f4(a1),x5522,a1)+~P6(f4(a1),x5521,a1)+P6(f4(a1),f7(x5521,x5522,a1),a1)
% 0.94/0.96 [592]P6(f4(a1),x5921,a1)+P6(f4(a1),x5922,a1)+~P6(f4(a1),f5(x5921,x5922,a1),a1)
% 0.94/0.96 [278]~P35(x2782)+~P12(x2782)+E(f5(x2781,f4(x2782),x2782),x2781)
% 0.94/0.96 [394]E(x3941,f4(a1))+E(x3942,f4(a1))+~E(f5(x3942,x3941,a1),f5(f4(a1),f6(a1),a1))
% 0.94/0.96 [395]E(x3951,f4(a1))+E(x3952,f4(a1))+~E(f5(f4(a1),f6(a1),a1),f5(x3952,x3951,a1))
% 0.94/0.96 [421]E(x4211,f4(a1))+E(x4211,f5(f4(a1),f6(a1),a1))+~E(f5(x4212,x4211,a1),f5(f4(a1),f6(a1),a1))
% 0.94/0.96 [422]E(x4221,f4(a1))+E(x4221,f5(f4(a1),f6(a1),a1))+~E(f5(x4221,x4222,a1),f5(f4(a1),f6(a1),a1))
% 0.94/0.96 [423]E(x4231,f4(a1))+E(x4231,f5(f4(a1),f6(a1),a1))+~E(f5(f4(a1),f6(a1),a1),f5(x4232,x4231,a1))
% 0.94/0.96 [424]E(x4241,f4(a1))+E(x4241,f5(f4(a1),f6(a1),a1))+~E(f5(f4(a1),f6(a1),a1),f5(x4241,x4242,a1))
% 0.94/0.96 [485]E(x4851,f5(f4(a1),f6(a1),a1))+E(x4852,f5(f4(a1),f6(a1),a1))+~E(f5(x4852,x4851,a1),f5(f4(a1),f6(a1),a1))
% 0.94/0.96 [486]E(x4861,f5(f4(a1),f6(a1),a1))+E(x4862,f5(f4(a1),f6(a1),a1))+~E(f5(f4(a1),f6(a1),a1),f5(x4862,x4861,a1))
% 0.94/0.96 [491]~P6(x4911,x4912,a1)+P6(f5(x4911,f6(a1),a1),x4912,a1)+E(f5(x4911,f6(a1),a1),x4912)
% 0.94/0.96 [500]E(x5001,x5002)+P6(x5002,x5001,a1)+~P6(x5002,f5(x5001,f6(a1),a1),a1)
% 0.94/0.96 [502]E(x5021,x5022)+P6(x5021,x5022,a1)+~P6(x5021,f5(x5022,f6(a1),a1),a1)
% 0.94/0.96 [565]E(x5651,x5652)+~P7(x5652,x5651,a1)+~P6(x5651,f5(x5652,f6(a1),a1),a1)
% 0.94/0.96 [620]P7(x6201,x6202,a1)+~P7(x6201,f5(x6202,f6(a1),a1),a1)+E(x6201,f5(x6202,f6(a1),a1))
% 0.94/0.96 [785]P6(x7851,f7(x7852,x7851,a1),a1)+~P6(f5(f4(a1),f6(a1),a1),x7852,a1)+~P6(f5(f4(a1),f6(a1),a1),x7851,a1)
% 0.94/0.96 [786]P6(x7861,f7(x7861,x7862,a1),a1)+~P6(f5(f4(a1),f6(a1),a1),x7862,a1)+~P6(f5(f4(a1),f6(a1),a1),x7861,a1)
% 0.94/0.96 [796]~P7(f5(f4(a1),f6(a1),a1),x7962,a1)+~P7(f5(f4(a1),f6(a1),a1),x7961,a1)+P7(f5(f4(a1),f6(a1),a1),f7(x7961,x7962,a1),a1)
% 0.94/0.96 [797]~P6(f5(f4(a1),f6(a1),a1),x7972,a1)+~P6(f5(f4(a1),f6(a1),a1),x7971,a1)+P6(f5(f4(a1),f6(a1),a1),f7(x7971,x7972,a1),a1)
% 0.94/0.96 [319]P7(x3192,x3191,x3193)+~P1(x3193)+P7(x3191,x3192,x3193)
% 0.94/0.96 [322]P6(x3222,x3221,x3223)+~P1(x3223)+P7(x3221,x3222,x3223)
% 0.94/0.96 [338]~P27(x3383)+~P6(x3381,x3382,x3383)+P7(x3381,x3382,x3383)
% 0.94/0.96 [339]~P28(x3393)+~P6(x3391,x3392,x3393)+P7(x3391,x3392,x3393)
% 0.94/0.96 [377]~P6(x3773,x3772,x3771)+~P1(x3771)+~P7(x3772,x3773,x3771)
% 0.94/0.96 [379]~P6(x3793,x3792,x3791)+~P1(x3791)+~P6(x3792,x3793,x3791)
% 0.94/0.96 [380]~P6(x3803,x3802,x3801)+~P27(x3801)+~P7(x3802,x3803,x3801)
% 0.94/0.96 [382]~P6(x3823,x3822,x3821)+~P27(x3821)+~P6(x3822,x3823,x3821)
% 0.94/0.96 [383]~P6(x3833,x3832,x3831)+~P28(x3831)+~P6(x3832,x3833,x3831)
% 0.94/0.96 [404]~P7(x4041,x4043,a1)+P7(x4041,x4042,a1)+~P7(x4043,x4042,a1)
% 0.94/0.96 [297]~P11(x2973)+E(x2971,x2972)+~E(f2(x2971,x2972,x2973),f4(x2973))
% 0.94/0.96 [298]~P20(x2983)+E(x2981,x2982)+~E(f2(x2981,x2982,x2983),f4(x2983))
% 0.94/0.96 [341]~P1(x3413)+~P7(x3411,x3412,x3413)+E(f8(x3411,x3412,x3413),x3412)
% 0.94/0.96 [342]~P1(x3423)+~P7(x3422,x3421,x3423)+E(f8(x3421,x3422,x3423),x3421)
% 0.94/0.96 [343]~P1(x3433)+~P7(x3432,x3431,x3433)+E(f14(x3431,x3432,x3433),x3432)
% 0.94/0.96 [344]~P1(x3443)+~P7(x3441,x3442,x3443)+E(f14(x3441,x3442,x3443),x3441)
% 0.94/0.96 [345]~P1(x3453)+P7(x3451,x3452,x3453)+~E(f8(x3451,x3452,x3453),x3452)
% 0.94/0.96 [346]~P1(x3463)+P7(x3461,x3462,x3463)+~E(f14(x3461,x3462,x3463),x3461)
% 0.94/0.96 [370]E(x3701,x3702)+~E(f7(x3703,x3701,a1),f7(x3703,x3702,a1))+E(x3703,f4(a1))
% 0.94/0.96 [371]E(x3711,x3712)+~E(f7(x3711,x3713,a1),f7(x3712,x3713,a1))+E(x3713,f4(a1))
% 0.94/0.96 [469]E(x4691,x4692)+~E(f7(x4693,x4691,a1),f7(x4693,x4692,a1))+~P6(f4(a1),x4693,a1)
% 0.94/0.96 [472]~P23(x4723)+~P7(x4721,x4722,x4723)+P7(f2(x4721,x4722,x4723),f4(x4723),x4723)
% 0.94/0.96 [473]~P23(x4733)+~P6(x4731,x4732,x4733)+P6(f2(x4731,x4732,x4733),f4(x4733),x4733)
% 0.94/0.96 [521]~P23(x5213)+P7(x5211,x5212,x5213)+~P7(f2(x5211,x5212,x5213),f4(x5213),x5213)
% 0.94/0.96 [522]~P23(x5223)+P6(x5221,x5222,x5223)+~P6(f2(x5221,x5222,x5223),f4(x5223),x5223)
% 0.94/0.96 [524]~P7(x5241,x5242,a1)+P6(x5241,f5(x5242,x5243,a1),a1)+~P6(f4(a1),x5243,a1)
% 0.94/0.96 [651]~P7(x6512,x6511,a1)+~P6(x6511,x6513,a1)+P6(f2(x6511,x6512,a1),f2(x6513,x6512,a1),a1)
% 0.94/0.96 [652]~P6(x6523,x6522,a1)+~P6(x6523,x6521,a1)+P6(f2(x6521,x6522,a1),f2(x6521,x6523,a1),a1)
% 0.94/0.96 [656]~P6(x6561,x6563,a1)+P6(f7(x6561,x6562,a1),f7(x6563,x6562,a1),a1)+~P6(f4(a1),x6562,a1)
% 0.94/0.96 [659]~P6(x6592,x6593,a1)+P6(f7(x6591,x6592,a1),f7(x6591,x6593,a1),a1)+~P6(f4(a1),x6591,a1)
% 0.94/0.96 [722]~P7(x7223,x7222,a1)+~P7(f5(x7221,x7223,a1),x7222,a1)+P7(x7221,f2(x7222,x7223,a1),a1)
% 0.94/0.96 [723]~P7(x7232,x7233,a1)+~P7(x7231,f2(x7233,x7232,a1),a1)+P7(f5(x7231,x7232,a1),x7233,a1)
% 0.94/0.96 [752]P7(x7521,x7522,a1)+~P7(f7(x7523,x7521,a1),f7(x7523,x7522,a1),a1)+~P6(f4(a1),x7523,a1)
% 0.94/0.96 [753]P7(x7531,x7532,a1)+~P7(f7(x7531,x7533,a1),f7(x7532,x7533,a1),a1)+~P6(f4(a1),x7533,a1)
% 0.94/0.96 [329]E(x3291,x3292)+P6(x3292,x3291,a1)+E(f12(f9(x3291),x3293,x3292),f9(x3291))
% 0.94/0.96 [544]~P6(x5441,x5443,a1)+~P6(x5443,x5442,a1)+P6(f5(x5441,f6(a1),a1),x5442,a1)
% 0.94/0.96 [677]~P40(x6772)+E(x6771,f4(x6772))+~E(f5(f7(x6773,x6773,x6772),f7(x6771,x6771,x6772),x6772),f4(x6772))
% 0.94/0.96 [678]~P40(x6782)+E(x6781,f4(x6782))+~E(f5(f7(x6781,x6781,x6782),f7(x6783,x6783,x6782),x6782),f4(x6782))
% 0.94/0.96 [713]~P7(x7132,x7133,a1)+~P7(x7132,x7131,a1)+E(f2(f2(x7131,x7132,a1),f2(x7133,x7132,a1),a1),f2(x7131,x7133,a1))
% 0.94/0.96 [770]~P40(x7702)+E(x7701,f4(x7702))+P6(f4(x7702),f5(f7(x7703,x7703,x7702),f7(x7701,x7701,x7702),x7702),x7702)
% 0.94/0.96 [771]~P40(x7712)+E(x7711,f4(x7712))+P6(f4(x7712),f5(f7(x7711,x7711,x7712),f7(x7713,x7713,x7712),x7712),x7712)
% 0.94/0.96 [810]~P40(x8102)+E(x8101,f4(x8102))+~P7(f5(f7(x8103,x8103,x8102),f7(x8101,x8101,x8102),x8102),f4(x8102),x8102)
% 0.94/0.96 [811]~P40(x8112)+E(x8111,f4(x8112))+~P7(f5(f7(x8111,x8111,x8112),f7(x8113,x8113,x8112),x8112),f4(x8112),x8112)
% 0.94/0.96 [384]~P13(x3844)+E(x3841,x3842)+~E(f5(x3843,x3841,x3844),f5(x3843,x3842,x3844))
% 0.94/0.96 [385]~P16(x3854)+E(x3851,x3852)+~E(f5(x3853,x3851,x3854),f5(x3853,x3852,x3854))
% 0.94/0.96 [386]~P11(x3864)+E(x3861,x3862)+~E(f2(x3863,x3863,x3864),f2(x3861,x3862,x3864))
% 0.94/0.96 [387]~P16(x3874)+E(x3871,x3872)+~E(f5(x3871,x3873,x3874),f5(x3872,x3873,x3874))
% 0.94/0.96 [388]~P11(x3883)+E(x3881,x3882)+~E(f2(x3881,x3882,x3883),f2(x3884,x3884,x3883))
% 0.94/0.96 [452]~P1(x4524)+~P7(x4521,x4523,x4524)+P7(x4521,f8(x4522,x4523,x4524),x4524)
% 0.94/0.96 [454]~P1(x4544)+~P7(x4541,x4542,x4544)+P7(x4541,f8(x4542,x4543,x4544),x4544)
% 0.94/0.96 [456]~P1(x4564)+~P6(x4561,x4563,x4564)+P6(x4561,f8(x4562,x4563,x4564),x4564)
% 0.94/0.96 [458]~P1(x4584)+~P6(x4581,x4582,x4584)+P6(x4581,f8(x4582,x4583,x4584),x4584)
% 0.94/0.96 [460]~P1(x4603)+~P7(x4602,x4604,x4603)+P7(f14(x4601,x4602,x4603),x4604,x4603)
% 0.94/0.96 [462]~P1(x4623)+~P7(x4621,x4624,x4623)+P7(f14(x4621,x4622,x4623),x4624,x4623)
% 0.94/0.96 [464]~P1(x4643)+~P6(x4642,x4644,x4643)+P6(f14(x4641,x4642,x4643),x4644,x4643)
% 0.94/0.96 [466]~P1(x4663)+~P6(x4661,x4664,x4663)+P6(f14(x4661,x4662,x4663),x4664,x4663)
% 0.94/0.96 [490]~P6(x4904,x4903,a1)+P6(x4901,x4902,a1)+~E(f5(x4901,x4903,a1),f5(x4904,x4902,a1))
% 0.94/0.96 [504]~P1(x5043)+P7(x5041,x5042,x5043)+~P7(x5041,f14(x5044,x5042,x5043),x5043)
% 0.94/0.96 [506]~P1(x5063)+P7(x5061,x5062,x5063)+~P7(x5061,f14(x5062,x5064,x5063),x5063)
% 0.94/0.96 [507]~P1(x5073)+P6(x5071,x5072,x5073)+~P6(x5071,f14(x5074,x5072,x5073),x5073)
% 0.94/0.96 [508]~P1(x5083)+P6(x5081,x5082,x5083)+~P6(x5081,f14(x5082,x5084,x5083),x5083)
% 0.94/0.96 [510]~P1(x5103)+P7(x5101,x5102,x5103)+~P7(f8(x5104,x5101,x5103),x5102,x5103)
% 0.94/0.96 [512]~P1(x5123)+P7(x5121,x5122,x5123)+~P7(f8(x5121,x5124,x5123),x5122,x5123)
% 0.94/0.96 [513]~P1(x5133)+P6(x5131,x5132,x5133)+~P6(f8(x5134,x5131,x5133),x5132,x5133)
% 0.94/0.96 [514]~P1(x5143)+P6(x5141,x5142,x5143)+~P6(f8(x5141,x5144,x5143),x5142,x5143)
% 0.94/0.96 [584]~P2(x5843)+~P7(x5841,x5844,x5843)+P7(f5(x5841,x5842,x5843),f5(x5844,x5842,x5843),x5843)
% 0.94/0.96 [585]~P22(x5853)+~P7(x5851,x5854,x5853)+P7(f5(x5851,x5852,x5853),f5(x5854,x5852,x5853),x5853)
% 0.94/0.96 [586]~P2(x5863)+~P7(x5862,x5864,x5863)+P7(f5(x5861,x5862,x5863),f5(x5861,x5864,x5863),x5863)
% 0.94/0.96 [587]~P22(x5873)+~P7(x5872,x5874,x5873)+P7(f5(x5871,x5872,x5873),f5(x5871,x5874,x5873),x5873)
% 0.94/0.96 [588]~P2(x5883)+~P6(x5881,x5884,x5883)+P6(f5(x5881,x5882,x5883),f5(x5884,x5882,x5883),x5883)
% 0.94/0.96 [589]~P25(x5893)+~P6(x5891,x5894,x5893)+P6(f5(x5891,x5892,x5893),f5(x5894,x5892,x5893),x5893)
% 0.94/0.96 [590]~P2(x5903)+~P6(x5902,x5904,x5903)+P6(f5(x5901,x5902,x5903),f5(x5901,x5904,x5903),x5903)
% 0.94/0.96 [591]~P25(x5913)+~P6(x5912,x5914,x5913)+P6(f5(x5911,x5912,x5913),f5(x5911,x5914,x5913),x5913)
% 0.94/0.96 [648]~P7(x6482,x6484,a1)+~P7(x6481,x6483,a1)+P7(f5(x6481,x6482,a1),f5(x6483,x6484,a1),a1)
% 0.94/0.96 [649]~P7(x6492,x6494,a1)+~P7(x6491,x6493,a1)+P7(f7(x6491,x6492,a1),f7(x6493,x6494,a1),a1)
% 0.94/0.96 [650]~P6(x6502,x6504,a1)+~P6(x6501,x6503,a1)+P6(f5(x6501,x6502,a1),f5(x6503,x6504,a1),a1)
% 0.94/0.96 [718]~P2(x7183)+P7(x7181,x7182,x7183)+~P7(f5(x7184,x7181,x7183),f5(x7184,x7182,x7183),x7183)
% 0.94/0.96 [719]~P2(x7193)+P7(x7191,x7192,x7193)+~P7(f5(x7191,x7194,x7193),f5(x7192,x7194,x7193),x7193)
% 0.94/0.96 [720]~P2(x7203)+P6(x7201,x7202,x7203)+~P6(f5(x7204,x7201,x7203),f5(x7204,x7202,x7203),x7203)
% 0.94/0.96 [721]~P2(x7213)+P6(x7211,x7212,x7213)+~P6(f5(x7211,x7214,x7213),f5(x7212,x7214,x7213),x7213)
% 0.94/0.96 [724]E(x7241,x7242)+E(x7243,f4(a1))+~E(f5(x7244,f7(x7243,x7241,a1),a1),f5(x7244,f7(x7243,x7242,a1),a1))
% 0.94/0.96 [748]~P35(x7483)+~P12(x7483)+E(f5(f7(x7481,x7482,x7483),f7(x7481,x7484,x7483),x7483),f5(f7(x7481,x7484,x7483),f7(x7481,x7482,x7483),x7483))
% 0.94/0.96 [799]E(x7991,x7992)+E(x7993,x7994)+~E(f5(f7(x7993,x7991,a1),f7(x7994,x7992,a1),a1),f5(f7(x7993,x7992,a1),f7(x7994,x7991,a1),a1))
% 0.94/0.96 [813]~P6(x8134,x8131,a1)+~P6(f4(a1),x8133,a1)+P6(f5(f7(x8131,f3(x8132,x8133,a1),a1),x8134,a1),f7(x8131,x8133,a1),a1)
% 0.94/0.96 [638]~P11(x6383)+E(f5(x6381,x6382,x6383),x6384)+~E(f5(x6381,f5(x6385,x6382,x6383),x6383),f5(x6385,x6384,x6383))
% 0.94/0.96 [807]~P7(x8073,x8072,a1)+~E(f5(f7(x8073,x8074,a1),x8071,a1),f5(f7(x8072,x8074,a1),x8075,a1))+E(x8071,f5(f7(f2(x8072,x8073,a1),x8074,a1),x8075,a1))
% 0.94/0.96 [808]~P7(x8082,x8081,a1)+~E(f5(f7(x8081,x8083,a1),x8084,a1),f5(f7(x8082,x8083,a1),x8085,a1))+E(f5(f7(f2(x8081,x8082,a1),x8083,a1),x8084,a1),x8085)
% 0.94/0.96 [827]~P7(x8273,x8272,a1)+~P7(f5(f7(x8273,x8274,a1),x8271,a1),f5(f7(x8272,x8274,a1),x8275,a1),a1)+P7(x8271,f5(f7(f2(x8272,x8273,a1),x8274,a1),x8275,a1),a1)
% 0.94/0.96 [828]~P7(x8283,x8282,a1)+~P6(f5(f7(x8283,x8284,a1),x8281,a1),f5(f7(x8282,x8284,a1),x8285,a1),a1)+P6(x8281,f5(f7(f2(x8282,x8283,a1),x8284,a1),x8285,a1),a1)
% 0.94/0.96 [829]~P7(x8292,x8291,a1)+~P7(f5(f7(x8291,x8293,a1),x8294,a1),f5(f7(x8292,x8293,a1),x8295,a1),a1)+P7(f5(f7(f2(x8291,x8292,a1),x8293,a1),x8294,a1),x8295,a1)
% 0.94/0.96 [830]~P7(x8302,x8301,a1)+~P6(f5(f7(x8301,x8303,a1),x8304,a1),f5(f7(x8302,x8303,a1),x8305,a1),a1)+P6(f5(f7(f2(x8301,x8302,a1),x8303,a1),x8304,a1),x8305,a1)
% 0.94/0.96 [835]~P7(x8351,x8354,a1)+P7(f5(f7(x8351,x8352,a1),x8353,a1),f5(f7(x8354,x8352,a1),x8355,a1),a1)+~P7(x8353,f5(f7(f2(x8354,x8351,a1),x8352,a1),x8355,a1),a1)
% 0.94/0.96 [836]~P7(x8361,x8364,a1)+P6(f5(f7(x8361,x8362,a1),x8363,a1),f5(f7(x8364,x8362,a1),x8365,a1),a1)+~P6(x8363,f5(f7(f2(x8364,x8361,a1),x8362,a1),x8365,a1),a1)
% 0.94/0.96 [837]~P7(x8374,x8371,a1)+P7(f5(f7(x8371,x8372,a1),x8373,a1),f5(f7(x8374,x8372,a1),x8375,a1),a1)+~P7(f5(f7(f2(x8371,x8374,a1),x8372,a1),x8373,a1),x8375,a1)
% 0.94/0.96 [838]~P7(x8384,x8381,a1)+P6(f5(f7(x8381,x8382,a1),x8383,a1),f5(f7(x8384,x8382,a1),x8385,a1),a1)+~P6(f5(f7(f2(x8381,x8384,a1),x8382,a1),x8383,a1),x8385,a1)
% 0.94/0.96 [803]~P47(x8034)+~E(f5(f7(x8033,x8035,x8034),x8031,x8034),f5(f7(x8032,x8035,x8034),x8036,x8034))+E(x8031,f5(f7(f2(x8032,x8033,x8034),x8035,x8034),x8036,x8034))
% 0.94/0.96 [804]~P47(x8043)+~E(f5(f7(x8041,x8044,x8043),x8045,x8043),f5(f7(x8042,x8044,x8043),x8046,x8043))+E(f5(f7(f2(x8041,x8042,x8043),x8044,x8043),x8045,x8043),x8046)
% 0.94/0.96 [823]~P45(x8234)+~P7(f5(f7(x8233,x8235,x8234),x8231,x8234),f5(f7(x8232,x8235,x8234),x8236,x8234),x8234)+P7(x8231,f5(f7(f2(x8232,x8233,x8234),x8235,x8234),x8236,x8234),x8234)
% 0.94/0.96 [824]~P45(x8244)+~P6(f5(f7(x8243,x8245,x8244),x8241,x8244),f5(f7(x8242,x8245,x8244),x8246,x8244),x8244)+P6(x8241,f5(f7(f2(x8242,x8243,x8244),x8245,x8244),x8246,x8244),x8244)
% 0.94/0.96 [825]~P45(x8253)+~P7(f5(f7(x8251,x8254,x8253),x8255,x8253),f5(f7(x8252,x8254,x8253),x8256,x8253),x8253)+P7(f5(f7(f2(x8251,x8252,x8253),x8254,x8253),x8255,x8253),x8256,x8253)
% 0.94/0.96 [826]~P45(x8263)+~P6(f5(f7(x8261,x8264,x8263),x8265,x8263),f5(f7(x8262,x8264,x8263),x8266,x8263),x8263)+P6(f5(f7(f2(x8261,x8262,x8263),x8264,x8263),x8265,x8263),x8266,x8263)
% 0.94/0.96 [831]~P45(x8313)+P7(f5(f7(x8311,x8312,x8313),x8314,x8313),f5(f7(x8315,x8312,x8313),x8316,x8313),x8313)+~P7(x8314,f5(f7(f2(x8315,x8311,x8313),x8312,x8313),x8316,x8313),x8313)
% 0.94/0.96 [832]~P45(x8323)+P6(f5(f7(x8321,x8322,x8323),x8324,x8323),f5(f7(x8325,x8322,x8323),x8326,x8323),x8323)+~P6(x8324,f5(f7(f2(x8325,x8321,x8323),x8322,x8323),x8326,x8323),x8323)
% 0.94/0.96 [833]~P45(x8333)+P7(f5(f7(x8331,x8332,x8333),x8334,x8333),f5(f7(x8335,x8332,x8333),x8336,x8333),x8333)+~P7(f5(f7(f2(x8331,x8335,x8333),x8332,x8333),x8334,x8333),x8336,x8333)
% 0.94/0.96 [834]~P45(x8343)+P6(f5(f7(x8341,x8342,x8343),x8344,x8343),f5(f7(x8345,x8342,x8343),x8346,x8343),x8343)+~P6(f5(f7(f2(x8341,x8345,x8343),x8342,x8343),x8344,x8343),x8346,x8343)
% 0.94/0.96 [327]P6(x3271,x3272,x3273)+~P1(x3273)+E(x3271,x3272)+P6(x3272,x3271,x3273)
% 0.94/0.96 [328]P6(x3281,x3282,x3283)+~P39(x3283)+E(x3281,x3282)+P6(x3282,x3281,x3283)
% 0.94/0.96 [348]~P1(x3483)+~P7(x3481,x3482,x3483)+E(x3481,x3482)+P6(x3481,x3482,x3483)
% 0.94/0.96 [354]~P28(x3543)+~P7(x3541,x3542,x3543)+E(x3541,x3542)+P6(x3541,x3542,x3543)
% 0.94/0.96 [392]~P7(x3922,x3921,x3923)+~P7(x3921,x3922,x3923)+E(x3921,x3922)+~P28(x3923)
% 0.94/0.96 [399]P6(x3992,x3991,x3993)+~P27(x3993)+~P7(x3992,x3991,x3993)+P7(x3991,x3992,x3993)
% 0.94/0.96 [301]~P35(x3012)+~P12(x3012)+~E(f5(x3013,x3011,x3012),x3013)+E(x3011,f4(x3012))
% 0.94/0.96 [303]~P35(x3033)+~P12(x3033)+E(x3031,x3032)+~E(f2(x3031,x3032,x3033),f4(x3033))
% 0.94/0.96 [306]~P46(x3062)+~E(f7(x3063,x3061,x3062),f4(x3062))+E(x3061,f4(x3062))+E(x3063,f4(x3062))
% 0.94/0.96 [308]~P32(x3082)+~E(f7(x3083,x3081,x3082),f4(x3082))+E(x3081,f4(x3082))+E(x3083,f4(x3082))
% 0.94/0.96 [551]E(x5511,x5512)+~P7(x5513,x5512,a1)+~P7(x5513,x5511,a1)+~E(f2(x5511,x5513,a1),f2(x5512,x5513,a1))
% 0.94/0.96 [594]~P45(x5941)+~P7(x5943,f4(x5941),x5941)+~P7(x5942,f4(x5941),x5941)+P7(f4(x5941),f7(x5942,x5943,x5941),x5941)
% 0.94/0.96 [595]~P40(x5951)+~P7(x5953,f4(x5951),x5951)+~P7(x5952,f4(x5951),x5951)+P7(f4(x5951),f7(x5952,x5953,x5951),x5951)
% 0.94/0.96 [596]~P40(x5961)+~P6(x5963,f4(x5961),x5961)+~P6(x5962,f4(x5961),x5961)+P6(f4(x5961),f7(x5962,x5963,x5961),x5961)
% 0.94/0.96 [597]~P24(x5971)+~P7(f4(x5971),x5973,x5971)+~P7(f4(x5971),x5972,x5971)+P7(f4(x5971),f5(x5972,x5973,x5971),x5971)
% 0.94/0.96 [598]~P45(x5981)+~P7(f4(x5981),x5983,x5981)+~P7(f4(x5981),x5982,x5981)+P7(f4(x5981),f7(x5982,x5983,x5981),x5981)
% 0.94/0.96 [599]~P40(x5991)+~P7(f4(x5991),x5993,x5991)+~P7(f4(x5991),x5992,x5991)+P7(f4(x5991),f7(x5992,x5993,x5991),x5991)
% 0.94/0.96 [600]~P43(x6001)+~P7(f4(x6001),x6003,x6001)+~P7(f4(x6001),x6002,x6001)+P7(f4(x6001),f7(x6002,x6003,x6001),x6001)
% 0.94/0.96 [601]~P24(x6011)+~P7(f4(x6011),x6013,x6011)+~P6(f4(x6011),x6012,x6011)+P6(f4(x6011),f5(x6012,x6013,x6011),x6011)
% 0.94/0.96 [602]~P24(x6021)+~P7(f4(x6021),x6022,x6021)+~P6(f4(x6021),x6023,x6021)+P6(f4(x6021),f5(x6022,x6023,x6021),x6021)
% 0.94/0.96 [603]~P24(x6031)+~P6(f4(x6031),x6033,x6031)+~P6(f4(x6031),x6032,x6031)+P6(f4(x6031),f5(x6032,x6033,x6031),x6031)
% 0.94/0.96 [604]~P30(x6041)+~P6(f4(x6041),x6043,x6041)+~P6(f4(x6041),x6042,x6041)+P6(f4(x6041),f7(x6042,x6043,x6041),x6041)
% 0.94/0.96 [605]~P37(x6051)+~P6(f6(x6051),x6053,x6051)+~P6(f6(x6051),x6052,x6051)+P6(f6(x6051),f7(x6052,x6053,x6051),x6051)
% 0.94/0.96 [606]~P24(x6063)+~P7(x6062,f4(x6063),x6063)+~P7(x6061,f4(x6063),x6063)+P7(f5(x6061,x6062,x6063),f4(x6063),x6063)
% 0.94/0.96 [607]~P24(x6073)+~P7(x6072,f4(x6073),x6073)+~P6(x6071,f4(x6073),x6073)+P6(f5(x6071,x6072,x6073),f4(x6073),x6073)
% 0.94/0.96 [608]~P24(x6083)+~P7(x6081,f4(x6083),x6083)+~P6(x6082,f4(x6083),x6083)+P6(f5(x6081,x6082,x6083),f4(x6083),x6083)
% 0.94/0.96 [609]~P24(x6093)+~P6(x6092,f4(x6093),x6093)+~P6(x6091,f4(x6093),x6093)+P6(f5(x6091,x6092,x6093),f4(x6093),x6093)
% 0.94/0.96 [610]~P40(x6103)+~P7(x6102,f4(x6103),x6103)+~P7(f4(x6103),x6101,x6103)+P7(f7(x6101,x6102,x6103),f4(x6103),x6103)
% 0.94/0.96 [611]~P40(x6113)+~P7(x6111,f4(x6113),x6113)+~P7(f4(x6113),x6112,x6113)+P7(f7(x6111,x6112,x6113),f4(x6113),x6113)
% 0.94/0.96 [613]~P43(x6133)+~P7(x6132,f4(x6133),x6133)+~P7(f4(x6133),x6131,x6133)+P7(f7(x6131,x6132,x6133),f4(x6133),x6133)
% 0.94/0.96 [616]~P43(x6163)+~P7(x6161,f4(x6163),x6163)+~P7(f4(x6163),x6162,x6163)+P7(f7(x6161,x6162,x6163),f4(x6163),x6163)
% 0.94/0.96 [617]~P30(x6173)+~P6(x6172,f4(x6173),x6173)+~P6(f4(x6173),x6171,x6173)+P6(f7(x6171,x6172,x6173),f4(x6173),x6173)
% 0.94/0.96 [619]~P30(x6193)+~P6(x6191,f4(x6193),x6193)+~P6(f4(x6193),x6192,x6193)+P6(f7(x6191,x6192,x6193),f4(x6193),x6193)
% 0.94/0.96 [625]~P40(x6252)+~P7(f7(x6253,x6251,x6252),f4(x6252),x6252)+P7(x6251,f4(x6252),x6252)+P7(x6253,f4(x6252),x6252)
% 0.94/0.96 [626]~P40(x6262)+~P7(f4(x6262),f7(x6263,x6261,x6262),x6262)+P7(x6261,f4(x6262),x6262)+P7(f4(x6262),x6263,x6262)
% 0.94/0.96 [627]~P40(x6272)+~P7(f4(x6272),f7(x6271,x6273,x6272),x6272)+P7(x6271,f4(x6272),x6272)+P7(f4(x6272),x6273,x6272)
% 0.94/0.96 [628]~P40(x6282)+~P7(f4(x6282),f7(x6283,x6281,x6282),x6282)+P7(x6281,f4(x6282),x6282)+P7(f4(x6282),x6281,x6282)
% 0.94/0.96 [629]~P40(x6292)+~P7(f4(x6292),f7(x6291,x6293,x6292),x6292)+P7(x6291,f4(x6292),x6292)+P7(f4(x6292),x6291,x6292)
% 0.94/0.96 [630]~P40(x6302)+~P7(f7(x6303,x6301,x6302),f4(x6302),x6302)+P7(x6301,f4(x6302),x6302)+P7(f4(x6302),x6301,x6302)
% 0.94/0.96 [631]~P40(x6312)+~P7(f7(x6311,x6313,x6312),f4(x6312),x6312)+P7(x6311,f4(x6312),x6312)+P7(f4(x6312),x6311,x6312)
% 0.94/0.96 [632]~P40(x6321)+~P7(f7(x6322,x6323,x6321),f4(x6321),x6321)+P7(f4(x6321),x6322,x6321)+P7(f4(x6321),x6323,x6321)
% 0.94/0.96 [646]~P30(x6461)+~P6(f4(x6461),f7(x6463,x6462,x6461),x6461)+P6(f4(x6461),x6462,x6461)+~P6(f4(x6461),x6463,x6461)
% 0.94/0.96 [647]~P30(x6471)+~P6(f4(x6471),f7(x6472,x6473,x6471),x6471)+P6(f4(x6471),x6472,x6471)+~P6(f4(x6471),x6473,x6471)
% 0.94/0.96 [772]~P7(x7723,x7721,a1)+P7(x7721,x7722,a1)+~P7(x7723,x7722,a1)+~P7(f2(x7721,x7723,a1),f2(x7722,x7723,a1),a1)
% 0.94/0.96 [773]~P7(x7733,x7731,a1)+P6(x7731,x7732,a1)+~P7(x7733,x7732,a1)+~P6(f2(x7731,x7733,a1),f2(x7732,x7733,a1),a1)
% 0.94/0.96 [411]~P27(x4113)+~P7(x4111,x4114,x4113)+P7(x4111,x4112,x4113)+~P7(x4114,x4112,x4113)
% 0.94/0.96 [412]~P28(x4123)+~P7(x4121,x4124,x4123)+P7(x4121,x4122,x4123)+~P7(x4124,x4122,x4123)
% 0.94/0.96 [413]~P27(x4133)+~P6(x4131,x4134,x4133)+P6(x4131,x4132,x4133)+~P7(x4134,x4132,x4133)
% 0.94/0.96 [414]~P27(x4143)+~P6(x4144,x4142,x4143)+P6(x4141,x4142,x4143)+~P7(x4141,x4144,x4143)
% 0.94/0.96 [415]~P27(x4153)+~P6(x4151,x4154,x4153)+P6(x4151,x4152,x4153)+~P6(x4154,x4152,x4153)
% 0.94/0.96 [416]~P28(x4163)+~P6(x4161,x4164,x4163)+P6(x4161,x4162,x4163)+~P7(x4164,x4162,x4163)
% 0.94/0.96 [417]~P28(x4173)+~P6(x4174,x4172,x4173)+P6(x4171,x4172,x4173)+~P7(x4171,x4174,x4173)
% 0.94/0.96 [418]~P28(x4183)+~P6(x4181,x4184,x4183)+P6(x4181,x4182,x4183)+~P6(x4184,x4182,x4183)
% 0.94/0.96 [397]~P35(x3974)+~P12(x3974)+E(x3971,x3972)+~E(f5(x3973,x3971,x3974),f5(x3973,x3972,x3974))
% 0.94/0.96 [557]~P1(x5574)+~P7(x5571,x5573,x5574)+~P7(x5571,x5572,x5574)+P7(x5571,f14(x5572,x5573,x5574),x5574)
% 0.94/0.96 [558]~P1(x5584)+~P6(x5581,x5583,x5584)+~P6(x5581,x5582,x5584)+P6(x5581,f14(x5582,x5583,x5584),x5584)
% 0.94/0.96 [561]~P1(x5613)+~P7(x5612,x5614,x5613)+~P7(x5611,x5614,x5613)+P7(f8(x5611,x5612,x5613),x5614,x5613)
% 0.94/0.96 [562]~P1(x5623)+~P6(x5622,x5624,x5623)+~P6(x5621,x5624,x5623)+P6(f8(x5621,x5622,x5623),x5624,x5623)
% 0.94/0.96 [576]~P37(x5764)+~P6(x5761,x5763,x5764)+~P6(f4(x5764),x5762,x5764)+P6(x5761,f5(x5762,x5763,x5764),x5764)
% 0.94/0.96 [621]~P1(x6213)+P7(x6211,x6212,x6213)+P7(x6211,x6214,x6213)+~P7(x6211,f8(x6212,x6214,x6213),x6213)
% 0.94/0.96 [622]~P1(x6223)+P6(x6221,x6222,x6223)+P6(x6221,x6224,x6223)+~P6(x6221,f8(x6222,x6224,x6223),x6223)
% 0.94/0.96 [623]~P1(x6233)+P7(x6231,x6232,x6233)+P7(x6234,x6232,x6233)+~P7(f14(x6231,x6234,x6233),x6232,x6233)
% 0.94/0.96 [624]~P1(x6243)+P6(x6241,x6242,x6243)+P6(x6244,x6242,x6243)+~P6(f14(x6241,x6244,x6243),x6242,x6243)
% 0.94/0.96 [687]~P45(x6873)+~P7(x6874,x6871,x6873)+~P7(x6872,f4(x6873),x6873)+P7(f7(x6871,x6872,x6873),f7(x6874,x6872,x6873),x6873)
% 0.94/0.96 [688]~P45(x6883)+~P7(x6884,x6882,x6883)+~P7(x6881,f4(x6883),x6883)+P7(f7(x6881,x6882,x6883),f7(x6881,x6884,x6883),x6883)
% 0.94/0.96 [689]~P40(x6893)+~P7(x6894,x6892,x6893)+~P6(x6891,f4(x6893),x6893)+P7(f7(x6891,x6892,x6893),f7(x6891,x6894,x6893),x6893)
% 0.94/0.96 [691]~P40(x6913)+~P6(x6914,x6911,x6913)+~P6(x6912,f4(x6913),x6913)+P6(f7(x6911,x6912,x6913),f7(x6914,x6912,x6913),x6913)
% 0.94/0.96 [694]~P40(x6943)+~P6(x6944,x6942,x6943)+~P6(x6941,f4(x6943),x6943)+P6(f7(x6941,x6942,x6943),f7(x6941,x6944,x6943),x6943)
% 0.94/0.96 [695]~P34(x6953)+~P7(x6951,x6954,x6953)+~P7(f4(x6953),x6952,x6953)+P7(f7(x6951,x6952,x6953),f7(x6954,x6952,x6953),x6953)
% 0.94/0.96 [696]~P40(x6963)+~P7(x6962,x6964,x6963)+~P6(f4(x6963),x6961,x6963)+P7(f7(x6961,x6962,x6963),f7(x6961,x6964,x6963),x6963)
% 0.94/0.96 [697]~P34(x6973)+~P7(x6972,x6974,x6973)+~P7(f4(x6973),x6971,x6973)+P7(f7(x6971,x6972,x6973),f7(x6971,x6974,x6973),x6973)
% 0.94/0.96 [698]~P36(x6983)+~P7(x6982,x6984,x6983)+~P7(f4(x6983),x6981,x6983)+P7(f7(x6981,x6982,x6983),f7(x6981,x6984,x6983),x6983)
% 0.94/0.96 [699]~P40(x6993)+~P6(x6991,x6994,x6993)+~P6(f4(x6993),x6992,x6993)+P6(f7(x6991,x6992,x6993),f7(x6994,x6992,x6993),x6993)
% 0.94/0.96 [700]~P30(x7003)+~P6(x7001,x7004,x7003)+~P6(f4(x7003),x7002,x7003)+P6(f7(x7001,x7002,x7003),f7(x7004,x7002,x7003),x7003)
% 0.94/0.96 [702]~P40(x7023)+~P6(x7022,x7024,x7023)+~P6(f4(x7023),x7021,x7023)+P6(f7(x7021,x7022,x7023),f7(x7021,x7024,x7023),x7023)
% 0.94/0.96 [703]~P30(x7033)+~P6(x7032,x7034,x7033)+~P6(f4(x7033),x7031,x7033)+P6(f7(x7031,x7032,x7033),f7(x7031,x7034,x7033),x7033)
% 0.94/0.96 [704]~P38(x7043)+~P6(x7042,x7044,x7043)+~P6(f4(x7043),x7041,x7043)+P6(f7(x7041,x7042,x7043),f7(x7041,x7044,x7043),x7043)
% 0.94/0.96 [730]P6(x7302,x7301,x7303)+~P40(x7303)+P6(x7301,x7302,x7303)+~P6(f7(x7304,x7301,x7303),f7(x7304,x7302,x7303),x7303)
% 0.94/0.96 [731]P6(x7312,x7311,x7313)+~P40(x7313)+P6(x7311,x7312,x7313)+~P6(f7(x7311,x7314,x7313),f7(x7312,x7314,x7313),x7313)
% 0.94/0.96 [743]~P40(x7433)+P6(x7431,x7432,x7433)+~P6(f7(x7431,x7434,x7433),f7(x7432,x7434,x7433),x7433)+P6(x7434,f4(x7433),x7433)
% 0.94/0.96 [744]~P40(x7443)+P6(x7441,x7442,x7443)+~P6(f7(x7444,x7441,x7443),f7(x7444,x7442,x7443),x7443)+P6(x7444,f4(x7443),x7443)
% 0.94/0.96 [745]~P40(x7453)+P6(x7451,x7452,x7453)+~P6(f7(x7454,x7452,x7453),f7(x7454,x7451,x7453),x7453)+P6(f4(x7453),x7454,x7453)
% 0.94/0.96 [746]~P40(x7463)+P6(x7461,x7462,x7463)+~P6(f7(x7462,x7464,x7463),f7(x7461,x7464,x7463),x7463)+P6(f4(x7463),x7464,x7463)
% 0.94/0.96 [749]~P40(x7492)+~P6(f7(x7493,x7491,x7492),f7(x7494,x7491,x7492),x7492)+P6(x7491,f4(x7492),x7492)+P6(f4(x7492),x7491,x7492)
% 0.94/0.96 [750]~P40(x7502)+~P6(f7(x7501,x7503,x7502),f7(x7501,x7504,x7502),x7502)+P6(x7501,f4(x7502),x7502)+P6(f4(x7502),x7501,x7502)
% 0.94/0.96 [755]~P40(x7553)+P7(x7551,x7552,x7553)+~P7(f7(x7554,x7552,x7553),f7(x7554,x7551,x7553),x7553)+~P6(x7554,f4(x7553),x7553)
% 0.94/0.96 [756]~P40(x7563)+P6(x7561,x7562,x7563)+~P6(f7(x7564,x7562,x7563),f7(x7564,x7561,x7563),x7563)+~P6(x7564,f4(x7563),x7563)
% 0.94/0.96 [757]~P40(x7573)+P7(x7571,x7572,x7573)+~P7(f7(x7574,x7571,x7573),f7(x7574,x7572,x7573),x7573)+~P6(f4(x7573),x7574,x7573)
% 0.94/0.96 [758]~P30(x7583)+P7(x7581,x7582,x7583)+~P7(f7(x7584,x7581,x7583),f7(x7584,x7582,x7583),x7583)+~P6(f4(x7583),x7584,x7583)
% 0.94/0.96 [759]~P30(x7593)+P7(x7591,x7592,x7593)+~P7(f7(x7591,x7594,x7593),f7(x7592,x7594,x7593),x7593)+~P6(f4(x7593),x7594,x7593)
% 0.94/0.96 [760]~P40(x7603)+P6(x7601,x7602,x7603)+~P6(f7(x7604,x7601,x7603),f7(x7604,x7602,x7603),x7603)+~P6(f4(x7603),x7604,x7603)
% 0.94/0.96 [761]~P30(x7613)+P6(x7611,x7612,x7613)+~P6(f7(x7614,x7611,x7613),f7(x7614,x7612,x7613),x7613)+~P7(f4(x7613),x7614,x7613)
% 0.94/0.96 [762]~P30(x7623)+P6(x7621,x7622,x7623)+~P6(f7(x7621,x7624,x7623),f7(x7622,x7624,x7623),x7623)+~P7(f4(x7623),x7624,x7623)
% 0.94/0.96 [763]~P31(x7633)+P6(x7631,x7632,x7633)+~P6(f7(x7634,x7631,x7633),f7(x7634,x7632,x7633),x7633)+~P7(f4(x7633),x7634,x7633)
% 0.94/0.96 [764]~P31(x7643)+P6(x7641,x7642,x7643)+~P6(f7(x7641,x7644,x7643),f7(x7642,x7644,x7643),x7643)+~P7(f4(x7643),x7644,x7643)
% 0.94/0.96 [517]~P23(x5173)+~P7(x5175,x5174,x5173)+P7(x5171,x5172,x5173)+~E(f2(x5174,x5175,x5173),f2(x5172,x5171,x5173))
% 0.94/0.96 [518]~P23(x5183)+~P7(x5185,x5184,x5183)+P7(x5181,x5182,x5183)+~E(f2(x5182,x5181,x5183),f2(x5184,x5185,x5183))
% 0.94/0.96 [519]~P23(x5193)+~P6(x5194,x5195,x5193)+P6(x5191,x5192,x5193)+~E(f2(x5194,x5195,x5193),f2(x5191,x5192,x5193))
% 0.94/0.96 [520]~P23(x5203)+~P6(x5204,x5205,x5203)+P6(x5201,x5202,x5203)+~E(f2(x5201,x5202,x5203),f2(x5204,x5205,x5203))
% 0.94/0.96 [680]~P22(x6803)+~P7(x6802,x6805,x6803)+~P7(x6801,x6804,x6803)+P7(f5(x6801,x6802,x6803),f5(x6804,x6805,x6803),x6803)
% 0.94/0.96 [681]~P25(x6813)+~P7(x6812,x6815,x6813)+~P6(x6811,x6814,x6813)+P6(f5(x6811,x6812,x6813),f5(x6814,x6815,x6813),x6813)
% 0.94/0.96 [682]~P25(x6823)+~P7(x6821,x6824,x6823)+~P6(x6822,x6825,x6823)+P6(f5(x6821,x6822,x6823),f5(x6824,x6825,x6823),x6823)
% 0.94/0.96 [683]~P25(x6833)+~P6(x6832,x6835,x6833)+~P6(x6831,x6834,x6833)+P6(f5(x6831,x6832,x6833),f5(x6834,x6835,x6833),x6833)
% 0.94/0.96 [725]~P23(x7254)+~P7(x7255,x7253,x7254)+~P7(x7251,f5(x7252,x7255,x7254),x7254)+P7(x7251,f5(x7252,x7253,x7254),x7254)
% 0.94/0.96 [782]~P4(x7823)+~E(f3(x7821,x7824,x7823),f3(x7825,x7824,x7823))+~E(f3(x7822,x7824,x7823),f3(x7826,x7824,x7823))+E(f3(f5(x7821,x7822,x7823),x7824,x7823),f3(f5(x7825,x7826,x7823),x7824,x7823))
% 0.94/0.96 [783]~P9(x7833)+~E(f3(x7831,x7834,x7833),f3(x7835,x7834,x7833))+~E(f3(x7832,x7834,x7833),f3(x7836,x7834,x7833))+E(f3(f2(x7831,x7832,x7833),x7834,x7833),f3(f2(x7835,x7836,x7833),x7834,x7833))
% 0.94/0.96 [784]~P4(x7843)+~E(f3(x7841,x7844,x7843),f3(x7845,x7844,x7843))+~E(f3(x7842,x7844,x7843),f3(x7846,x7844,x7843))+E(f3(f7(x7841,x7842,x7843),x7844,x7843),f3(f7(x7845,x7846,x7843),x7844,x7843))
% 0.94/0.96 [483]~P24(x4832)+~P7(f4(x4832),x4831,x4832)+~P7(f4(x4832),x4833,x4832)+~E(f5(x4833,x4831,x4832),f4(x4832))+E(x4831,f4(x4832))
% 0.94/0.96 [484]~P24(x4842)+~P7(f4(x4842),x4843,x4842)+~P7(f4(x4842),x4841,x4842)+~E(f5(x4841,x4843,x4842),f4(x4842))+E(x4841,f4(x4842))
% 0.94/0.96 [685]~P39(x6853)+~P7(x6851,f6(x6853),x6853)+~P7(f4(x6853),x6852,x6853)+~P7(f4(x6853),x6851,x6853)+P7(f7(x6851,x6852,x6853),x6852,x6853)
% 0.94/0.96 [686]~P39(x6863)+~P7(x6862,f6(x6863),x6863)+~P7(f4(x6863),x6862,x6863)+~P7(f4(x6863),x6861,x6863)+P7(f7(x6861,x6862,x6863),x6861,x6863)
% 0.94/0.96 [580]~P2(x5804)+~P3(x5804)+~P7(x5801,x5803,x5804)+~P7(f4(x5804),x5802,x5804)+P7(x5801,f5(x5802,x5803,x5804),x5804)
% 0.94/0.96 [581]~P2(x5814)+~P3(x5814)+~P7(x5811,x5812,x5814)+~P7(f4(x5814),x5813,x5814)+P7(x5811,f5(x5812,x5813,x5814),x5814)
% 0.94/0.96 [582]~P2(x5824)+~P3(x5824)+~P7(x5821,x5823,x5824)+~P6(f4(x5824),x5822,x5824)+P6(x5821,f5(x5822,x5823,x5824),x5824)
% 0.94/0.96 [583]~P2(x5834)+~P3(x5834)+~P6(x5831,x5833,x5834)+~P7(f4(x5834),x5832,x5834)+P6(x5831,f5(x5832,x5833,x5834),x5834)
% 0.94/0.96 [729]~P35(x7294)+~P12(x7294)+E(x7291,x7292)+E(x7293,f4(x7294))+~E(f5(x7295,f7(x7293,x7291,x7294),x7294),f5(x7295,f7(x7293,x7292,x7294),x7294))
% 0.94/0.96 [801]~P35(x8015)+~P12(x8015)+E(x8011,x8012)+E(x8013,x8014)+~E(f5(f7(x8013,x8011,x8015),f7(x8014,x8012,x8015),x8015),f5(f7(x8013,x8012,x8015),f7(x8014,x8011,x8015),x8015))
% 0.94/0.96 [774]~P44(x7743)+~P7(x7742,x7745,x7743)+~P7(x7741,x7744,x7743)+~P7(f4(x7743),x7744,x7743)+~P7(f4(x7743),x7742,x7743)+P7(f7(x7741,x7742,x7743),f7(x7744,x7745,x7743),x7743)
% 0.94/0.96 [775]~P44(x7753)+~P7(x7752,x7755,x7753)+~P7(x7751,x7754,x7753)+~P7(f4(x7753),x7752,x7753)+~P7(f4(x7753),x7751,x7753)+P7(f7(x7751,x7752,x7753),f7(x7754,x7755,x7753),x7753)
% 0.94/0.96 [776]~P30(x7763)+~P7(x7762,x7765,x7763)+~P6(x7761,x7764,x7763)+~P7(f4(x7763),x7761,x7763)+~P6(f4(x7763),x7762,x7763)+P6(f7(x7761,x7762,x7763),f7(x7764,x7765,x7763),x7763)
% 0.94/0.96 [777]~P30(x7773)+~P7(x7771,x7774,x7773)+~P6(x7772,x7775,x7773)+~P7(f4(x7773),x7772,x7773)+~P6(f4(x7773),x7771,x7773)+P6(f7(x7771,x7772,x7773),f7(x7774,x7775,x7773),x7773)
% 0.94/0.96 [778]~P30(x7783)+~P6(x7782,x7785,x7783)+~P6(x7781,x7784,x7783)+~P7(f4(x7783),x7782,x7783)+~P7(f4(x7783),x7781,x7783)+P6(f7(x7781,x7782,x7783),f7(x7784,x7785,x7783),x7783)
% 0.94/0.96 [779]~P30(x7793)+~P6(x7792,x7795,x7793)+~P6(x7791,x7794,x7793)+~P7(f4(x7793),x7792,x7793)+~P6(f4(x7793),x7794,x7793)+P6(f7(x7791,x7792,x7793),f7(x7794,x7795,x7793),x7793)
% 0.94/0.96 %EqnAxiom
% 0.94/0.96 [1]E(x11,x11)
% 0.94/0.96 [2]E(x22,x21)+~E(x21,x22)
% 0.94/0.96 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.94/0.96 [4]~E(x41,x42)+E(f2(x41,x43,x44),f2(x42,x43,x44))
% 0.94/0.96 [5]~E(x51,x52)+E(f2(x53,x51,x54),f2(x53,x52,x54))
% 0.94/0.96 [6]~E(x61,x62)+E(f2(x63,x64,x61),f2(x63,x64,x62))
% 0.94/0.96 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.94/0.96 [8]~E(x81,x82)+E(f7(x81,x83,x84),f7(x82,x83,x84))
% 0.94/0.96 [9]~E(x91,x92)+E(f7(x93,x91,x94),f7(x93,x92,x94))
% 0.94/0.96 [10]~E(x101,x102)+E(f7(x103,x104,x101),f7(x103,x104,x102))
% 0.94/0.96 [11]~E(x111,x112)+E(f5(x111,x113,x114),f5(x112,x113,x114))
% 0.94/0.96 [12]~E(x121,x122)+E(f5(x123,x121,x124),f5(x123,x122,x124))
% 0.94/0.96 [13]~E(x131,x132)+E(f5(x133,x134,x131),f5(x133,x134,x132))
% 0.94/0.96 [14]~E(x141,x142)+E(f6(x141),f6(x142))
% 0.94/0.96 [15]~E(x151,x152)+E(f3(x151,x153,x154),f3(x152,x153,x154))
% 0.94/0.96 [16]~E(x161,x162)+E(f3(x163,x161,x164),f3(x163,x162,x164))
% 0.94/0.96 [17]~E(x171,x172)+E(f3(x173,x174,x171),f3(x173,x174,x172))
% 0.94/0.96 [18]~E(x181,x182)+E(f8(x181,x183,x184),f8(x182,x183,x184))
% 0.94/0.96 [19]~E(x191,x192)+E(f8(x193,x191,x194),f8(x193,x192,x194))
% 0.94/0.96 [20]~E(x201,x202)+E(f8(x203,x204,x201),f8(x203,x204,x202))
% 0.94/0.96 [21]~E(x211,x212)+E(f12(x211,x213,x214),f12(x212,x213,x214))
% 0.94/0.96 [22]~E(x221,x222)+E(f12(x223,x221,x224),f12(x223,x222,x224))
% 0.94/0.96 [23]~E(x231,x232)+E(f12(x233,x234,x231),f12(x233,x234,x232))
% 0.94/0.96 [24]~E(x241,x242)+E(f14(x241,x243,x244),f14(x242,x243,x244))
% 0.94/0.96 [25]~E(x251,x252)+E(f14(x253,x251,x254),f14(x253,x252,x254))
% 0.94/0.96 [26]~E(x261,x262)+E(f14(x263,x264,x261),f14(x263,x264,x262))
% 0.94/0.96 [27]~E(x271,x272)+E(f13(x271,x273),f13(x272,x273))
% 0.94/0.96 [28]~E(x281,x282)+E(f13(x283,x281),f13(x283,x282))
% 0.94/0.96 [29]~E(x291,x292)+E(f9(x291),f9(x292))
% 0.94/0.96 [30]~E(x301,x302)+E(f10(x301,x303),f10(x302,x303))
% 0.94/0.96 [31]~E(x311,x312)+E(f10(x313,x311),f10(x313,x312))
% 0.94/0.96 [32]~E(x321,x322)+E(f11(x321),f11(x322))
% 0.94/0.96 [33]~P1(x331)+P1(x332)+~E(x331,x332)
% 0.94/0.96 [34]~P2(x341)+P2(x342)+~E(x341,x342)
% 0.94/0.96 [35]~P3(x351)+P3(x352)+~E(x351,x352)
% 0.94/0.96 [36]~P4(x361)+P4(x362)+~E(x361,x362)
% 0.94/0.96 [37]~P26(x371)+P26(x372)+~E(x371,x372)
% 0.94/0.96 [38]~P30(x381)+P30(x382)+~E(x381,x382)
% 0.94/0.96 [39]~P31(x391)+P31(x392)+~E(x391,x392)
% 0.94/0.96 [40]~P17(x401)+P17(x402)+~E(x401,x402)
% 0.94/0.96 [41]~P18(x411)+P18(x412)+~E(x411,x412)
% 0.94/0.96 [42]~P22(x421)+P22(x422)+~E(x421,x422)
% 0.94/0.96 [43]~P24(x431)+P24(x432)+~E(x431,x432)
% 0.94/0.96 [44]~P27(x441)+P27(x442)+~E(x441,x442)
% 0.94/0.96 [45]~P28(x451)+P28(x452)+~E(x451,x452)
% 0.94/0.96 [46]~P10(x461)+P10(x462)+~E(x461,x462)
% 0.94/0.96 [47]~P32(x471)+P32(x472)+~E(x471,x472)
% 0.94/0.96 [48]~P37(x481)+P37(x482)+~E(x481,x482)
% 0.94/0.96 [49]~P41(x491)+P41(x492)+~E(x491,x492)
% 0.94/0.96 [50]~P33(x501)+P33(x502)+~E(x501,x502)
% 0.94/0.96 [51]~P42(x511)+P42(x512)+~E(x511,x512)
% 0.94/0.96 [52]~P43(x521)+P43(x522)+~E(x521,x522)
% 0.94/0.96 [53]~P25(x531)+P25(x532)+~E(x531,x532)
% 0.94/0.96 [54]~P34(x541)+P34(x542)+~E(x541,x542)
% 0.94/0.96 [55]~P36(x551)+P36(x552)+~E(x551,x552)
% 0.94/0.96 [56]~P13(x561)+P13(x562)+~E(x561,x562)
% 0.94/0.96 [57]~P16(x571)+P16(x572)+~E(x571,x572)
% 0.94/0.96 [58]~P38(x581)+P38(x582)+~E(x581,x582)
% 0.94/0.96 [59]~P44(x591)+P44(x592)+~E(x591,x592)
% 0.94/0.96 [60]~P19(x601)+P19(x602)+~E(x601,x602)
% 0.94/0.96 [61]~P14(x611)+P14(x612)+~E(x611,x612)
% 0.94/0.96 [62]~P29(x621)+P29(x622)+~E(x621,x622)
% 0.94/0.96 [63]~P5(x631)+P5(x632)+~E(x631,x632)
% 0.94/0.96 [64]P7(x642,x643,x644)+~E(x641,x642)+~P7(x641,x643,x644)
% 0.94/0.96 [65]P7(x653,x652,x654)+~E(x651,x652)+~P7(x653,x651,x654)
% 0.94/0.96 [66]P7(x663,x664,x662)+~E(x661,x662)+~P7(x663,x664,x661)
% 0.94/0.96 [67]~P23(x671)+P23(x672)+~E(x671,x672)
% 0.94/0.96 [68]P6(x682,x683,x684)+~E(x681,x682)+~P6(x681,x683,x684)
% 0.94/0.96 [69]P6(x693,x692,x694)+~E(x691,x692)+~P6(x693,x691,x694)
% 0.94/0.96 [70]P6(x703,x704,x702)+~E(x701,x702)+~P6(x703,x704,x701)
% 0.94/0.96 [71]~P40(x711)+P40(x712)+~E(x711,x712)
% 0.94/0.96 [72]~P35(x721)+P35(x722)+~E(x721,x722)
% 0.94/0.96 [73]~P9(x731)+P9(x732)+~E(x731,x732)
% 0.94/0.96 [74]~P21(x741)+P21(x742)+~E(x741,x742)
% 0.94/0.96 [75]P8(x752,x753)+~E(x751,x752)+~P8(x751,x753)
% 0.94/0.96 [76]P8(x763,x762)+~E(x761,x762)+~P8(x763,x761)
% 0.94/0.96 [77]~P12(x771)+P12(x772)+~E(x771,x772)
% 0.94/0.96 [78]~P39(x781)+P39(x782)+~E(x781,x782)
% 0.94/0.96 [79]~P20(x791)+P20(x792)+~E(x791,x792)
% 0.94/0.96 [80]~P46(x801)+P46(x802)+~E(x801,x802)
% 0.94/0.96 [81]~P45(x811)+P45(x812)+~E(x811,x812)
% 0.94/0.96 [82]~P11(x821)+P11(x822)+~E(x821,x822)
% 0.94/0.96 [83]~P47(x831)+P47(x832)+~E(x831,x832)
% 0.94/0.96 [84]~P15(x841)+P15(x842)+~E(x841,x842)
% 0.94/0.96
% 0.94/0.96 %-------------------------------------------
% 1.01/0.96 cnf(844,plain,
% 1.01/0.96 (P7(x8441,f7(x8441,x8441,a1),a1)),
% 1.01/0.96 inference(rename_variables,[],[150])).
% 1.01/0.96 cnf(849,plain,
% 1.01/0.96 (P7(x8491,f7(x8491,x8491,a1),a1)),
% 1.01/0.96 inference(rename_variables,[],[150])).
% 1.01/0.96 cnf(855,plain,
% 1.01/0.96 (P7(x8551,f7(x8551,x8551,a1),a1)),
% 1.01/0.96 inference(rename_variables,[],[150])).
% 1.01/0.96 cnf(861,plain,
% 1.01/0.96 (~P6(f5(x8611,x8612,a1),x8612,a1)),
% 1.01/0.96 inference(rename_variables,[],[228])).
% 1.01/0.96 cnf(866,plain,
% 1.01/0.96 (~P6(f5(x8661,x8662,a1),x8662,a1)),
% 1.01/0.96 inference(rename_variables,[],[228])).
% 1.01/0.96 cnf(869,plain,
% 1.01/0.96 (~P6(f5(x8691,x8692,a1),x8692,a1)),
% 1.01/0.96 inference(rename_variables,[],[228])).
% 1.01/0.96 cnf(872,plain,
% 1.01/0.96 (~P7(f5(x8721,f6(a1),a1),x8721,a1)),
% 1.01/0.96 inference(rename_variables,[],[230])).
% 1.01/0.96 cnf(880,plain,
% 1.01/0.96 ($false),
% 1.01/0.96 inference(scs_inference,[],[231,188,150,844,849,855,152,228,861,866,869,230,872,146,190,170,2,291,554,553,498,489,488,487,442,433,432,430,428,426,401,234]),
% 1.01/0.96 ['proof']).
% 1.01/0.96 % SZS output end Proof
% 1.01/0.96 % Total time :0.040000s
%------------------------------------------------------------------------------