TSTP Solution File: ALG377-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG377-1 : 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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 15:59:45 EDT 2023
% Result : Unsatisfiable 0.78s 0.84s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG377-1 : 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
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 03:37:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.60/0.80 %-------------------------------------------
% 0.60/0.80 % File :CSE---1.6
% 0.60/0.80 % Problem :theBenchmark
% 0.60/0.80 % Transform :cnf
% 0.60/0.80 % Format :tptp:raw
% 0.60/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.60/0.80
% 0.60/0.80 % Result :Theorem 0.030000s
% 0.60/0.80 % Output :CNFRefutation 0.030000s
% 0.60/0.80 %-------------------------------------------
% 0.60/0.80 %------------------------------------------------------------------------------
% 0.60/0.80 % File : ALG377-1 : TPTP v8.1.2. Released v4.1.0.
% 0.60/0.80 % Domain : General Algebra
% 0.60/0.80 % Problem : Fundamental theorem of algebra 0445_113
% 0.60/0.80 % Version : Especial.
% 0.60/0.80 % English :
% 0.60/0.80
% 0.60/0.80 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.60/0.80 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.60/0.80 % Source : [Nip10]
% 0.60/0.80 % Names : Fundamental_Theorem_Algebra-0445_113 [Nip10]
% 0.60/0.80
% 0.60/0.80 % Status : Unsatisfiable
% 0.60/0.80 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.19 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0
% 0.60/0.80 % Syntax : Number of clauses : 559 ( 119 unt; 83 nHn; 380 RR)
% 0.60/0.80 % Number of literals : 1436 ( 297 equ; 818 neg)
% 0.60/0.80 % Maximal clause size : 6 ( 2 avg)
% 0.60/0.80 % Maximal term depth : 7 ( 1 avg)
% 0.60/0.80 % Number of predicates : 40 ( 39 usr; 0 prp; 1-3 aty)
% 0.60/0.80 % Number of functors : 19 ( 19 usr; 5 con; 0-3 aty)
% 0.60/0.80 % Number of variables : 1227 ( 68 sgn)
% 0.60/0.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.60/0.80
% 0.60/0.80 % Comments :
% 0.60/0.80 %------------------------------------------------------------------------------
% 0.60/0.80 cnf(cls_real__natfloor__le_0,axiom,
% 0.60/0.80 ( c_lessequals(c_RealDef_Oreal(c_RComplete_Onatfloor(V_x),tc_nat),V_x,tc_RealDef_Oreal)
% 0.60/0.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.60/0.80
% 0.60/0.80 cnf(cls_natfloor__neg_0,axiom,
% 0.60/0.80 ( c_RComplete_Onatfloor(V_x) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.80 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.80
% 0.60/0.80 cnf(cls_natfloor__real__of__nat_0,axiom,
% 0.60/0.80 c_RComplete_Onatfloor(c_RealDef_Oreal(V_n,tc_nat)) = V_n ).
% 0.60/0.80
% 0.60/0.80 cnf(cls_mod__Suc_1,axiom,
% 0.60/0.80 ( 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))
% 0.60/0.80 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 0.60/0.80
% 0.60/0.80 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 0.60/0.80 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) ).
% 0.60/0.80
% 0.60/0.80 cnf(cls_mod__minus__eq_0,axiom,
% 0.60/0.80 ( ~ class_Divides_Oring__div(T_a)
% 0.60/0.80 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__minus__cong_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Oring__div(T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__add__left__eq_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__add__right__eq_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__add__eq_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__add__self1_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__add__self2_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__add__cong_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__0_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__if_0,axiom,
% 0.60/0.81 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__mod__trivial_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | 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) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__by__0_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__self_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__by__1_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__div__trivial_0,axiom,
% 0.60/0.81 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.81 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_natfloor__zero_0,axiom,
% 0.60/0.81 c_RComplete_Onatfloor(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__less__divisor_0,axiom,
% 0.60/0.81 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__Suc_0,axiom,
% 0.60/0.81 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 0.60/0.81 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_mod__1_0,axiom,
% 0.60/0.81 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) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_div__add1__eq_0,axiom,
% 0.60/0.81 c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_a,V_b,tc_nat),V_c,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_c,tc_nat),c_Divides_Odiv__class_Odiv(V_b,V_c,tc_nat),tc_nat),c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,tc_nat),c_Divides_Odiv__class_Omod(V_b,V_c,tc_nat),tc_nat),V_c,tc_nat),tc_nat) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_div__Suc_0,axiom,
% 0.60/0.81 c_Divides_Odiv__class_Odiv(c_Suc(V_a),V_c,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_c,tc_nat),c_Divides_Odiv__class_Odiv(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_c,tc_nat),tc_nat),c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,tc_nat),c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_c,tc_nat),tc_nat),V_c,tc_nat),tc_nat) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_real__natfloor__add__one__gt_0,axiom,
% 0.60/0.81 c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(c_RComplete_Onatfloor(V_x),tc_nat),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_natfloor__add_0,axiom,
% 0.60/0.81 ( c_RComplete_Onatfloor(c_HOL_Oplus__class_Oplus(V_x,c_RealDef_Oreal(V_a,tc_nat),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_RComplete_Onatfloor(V_x),V_a,tc_nat)
% 0.60/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_natfloor__eq_0,axiom,
% 0.60/0.81 ( c_RComplete_Onatfloor(V_x) = V_n
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.81 | ~ c_lessequals(c_RealDef_Oreal(V_n,tc_nat),V_x,tc_RealDef_Oreal) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_neg__equal__zero_1,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_minus__zero_0,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.81 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_norm__minus__cancel_0,axiom,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.60/0.81 | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_RealVector_Onorm__class_Onorm(V_x,T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_abs__minus__cancel_0,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.81 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_neg__equal__zero_0,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 0.60/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.81 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_neg__less__iff__less_1,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_neg__less__iff__less_0,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.81 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.60/0.81 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_minus__less__iff_1,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_minus__less__iff_0,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_less__minus__iff_1,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.81 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_less__minus__iff_0,axiom,
% 0.60/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.81 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_eq__divide__eq_2,axiom,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.81 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_divide__self__if_0,axiom,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_divide__zero__left_0,axiom,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_divide__eq__eq_1,axiom,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_divide__zero_0,axiom,
% 0.60/0.81 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_divide_Ozero_0,axiom,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.60/0.81 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_abs__divide_0,axiom,
% 0.60/0.81 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.81 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.81 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_real__less__def_0,axiom,
% 0.60/0.81 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_real__less__def_2,axiom,
% 0.60/0.81 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.60/0.81 | V_x = V_y
% 0.60/0.81 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_abs__le__interval__iff_1,axiom,
% 0.60/0.81 ( c_lessequals(V_x,V_r,tc_RealDef_Oreal)
% 0.60/0.81 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_norm__add__less_0,axiom,
% 0.60/0.81 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.60/0.81 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.60/0.81 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.60/0.81 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_less__SucE_0,axiom,
% 0.60/0.81 ( V_m = V_n
% 0.60/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_less__antisym_0,axiom,
% 0.60/0.81 ( V_m = V_n
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.60/0.81 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.60/0.81 ( V_n = V_m
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.60/0.81 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_not__less__eq_0,axiom,
% 0.60/0.81 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.60/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_not__less__eq_1,axiom,
% 0.60/0.81 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.60/0.81 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.60/0.81
% 0.60/0.81 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.60/0.81 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.60/0.81 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.60/0.81
% 0.60/0.82 cnf(cls_Suc__lessD_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_less__SucI_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_lessI_0,axiom,
% 0.60/0.82 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_less__Suc__eq_2,axiom,
% 0.60/0.82 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_less__trans__Suc_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.60/0.82 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.60/0.82 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_Suc__lessI_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.60/0.82 | c_Suc(V_m) = V_n
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_Suc__mono_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_Suc__less__eq_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.60/0.82 ( 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)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.60/0.82 | ~ 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) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__less__mono1_0,axiom,
% 0.60/0.82 ( 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)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_not__add__less1_0,axiom,
% 0.60/0.82 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_not__add__less2_0,axiom,
% 0.60/0.82 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__less__mono_0,axiom,
% 0.60/0.82 ( 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)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_less__add__eq__less_0,axiom,
% 0.60/0.82 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__is__0_0,axiom,
% 0.60/0.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__is__0_1,axiom,
% 0.60/0.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.60/0.82 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 0.60/0.82 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__eq__self__zero_0,axiom,
% 0.60/0.82 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 0.60/0.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__lessD1_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_trans__less__add1_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_trans__less__add2_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__is__0_2,axiom,
% 0.60/0.82 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) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.60/0.82 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.60/0.82 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.60/0.82 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_nonzero__norm__divide_0,axiom,
% 0.60/0.82 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.60/0.82 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal)
% 0.60/0.82 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_real__of__nat__le__zero__cancel__iff_1,axiom,
% 0.60/0.82 c_lessequals(c_RealDef_Oreal(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_real__of__nat__le__zero__cancel__iff_0,axiom,
% 0.60/0.82 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.82 | ~ c_lessequals(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_real__of__nat__Suc__gt__zero_0,axiom,
% 0.60/0.82 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_real__zero__not__eq__one_0,axiom,
% 0.60/0.82 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_abs__add__one__not__less__self_0,axiom,
% 0.60/0.82 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_real__add__less__0__iff_1,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_real__add__less__0__iff_0,axiom,
% 0.60/0.82 ( c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_natfloor__div__nat_0,axiom,
% 0.60/0.82 ( c_RComplete_Onatfloor(c_HOL_Oinverse__class_Odivide(V_x,c_RealDef_Oreal(V_y,tc_nat),tc_RealDef_Oreal)) = c_Divides_Odiv__class_Odiv(c_RComplete_Onatfloor(V_x),V_y,tc_nat)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_y,tc_nat)
% 0.60/0.82 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_real__of__nat__div__aux_0,axiom,
% 0.60/0.82 ( c_HOL_Oinverse__class_Odivide(c_RealDef_Oreal(V_x,tc_nat),c_RealDef_Oreal(V_d,tc_nat),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(c_Divides_Odiv__class_Odiv(V_x,V_d,tc_nat),tc_nat),c_HOL_Oinverse__class_Odivide(c_RealDef_Oreal(c_Divides_Odiv__class_Omod(V_x,V_d,tc_nat),tc_nat),c_RealDef_Oreal(V_d,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_d,tc_nat) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_divide__less__0__1__iff_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_divide__less__0__1__iff_1,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_div__by__1_0,axiom,
% 0.60/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.82 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_one__neq__zero_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.60/0.82 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_abs__one_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.60/0.82 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_zero__neq__one_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.60/0.82 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_divide__le__eq_2,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.60/0.82 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_divide__le__eq_3,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.82 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.60/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_le__divide__eq_2,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.82 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.60/0.82 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_le__divide__eq_3,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.82 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.60/0.82 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_frac__less2_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.60/0.82 | ~ c_lessequals(V_x,V_y,T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_divide__nonneg__neg_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_divide__nonpos__pos_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.60/0.82 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_frac__less_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.60/0.82 | ~ c_lessequals(V_w,V_z,T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.60/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_divide__nonneg__pos_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.60/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_divide__nonpos__neg_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.82 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_frac__le_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.82 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.60/0.82 | ~ c_lessequals(V_w,V_z,T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.60/0.82 | ~ c_lessequals(V_x,V_y,T_a)
% 0.60/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_abs__of__nonpos_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.82 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.60/0.82 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_abs__minus__le__zero_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.82 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_div__add__self1_0,axiom,
% 0.60/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.82 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.60/0.82 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_div__add__self2_0,axiom,
% 0.60/0.82 ( ~ class_Divides_Osemiring__div(T_a)
% 0.60/0.82 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.60/0.82 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_zero__less__two_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.60/0.82 | 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) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.60/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.60/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.60/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.60/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.60/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.60/0.82 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.60/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__0__left_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.60/0.82 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.60/0.82 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_double__eq__0__iff_1,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.82 | 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) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.60/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.60/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.60/0.82 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.60/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_double__eq__0__iff_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.82 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__strict__mono_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.60/0.82 | 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)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_abs__add__abs_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.82 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__less__cancel__left_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.60/0.82 | ~ 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) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__less__cancel__left_1,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.60/0.82 | 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)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__strict__left__mono_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.60/0.82 | 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)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__less__cancel__right_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.60/0.82 | ~ 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) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__less__cancel__right_1,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.60/0.82 | 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)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__strict__right__mono_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.60/0.82 | 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)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__strict__increasing2_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.60/0.82 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.60/0.82 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.60/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.60/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.82
% 0.60/0.82 cnf(cls_add__neg__nonpos_0,axiom,
% 0.60/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.82 | 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)
% 0.60/0.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__nonpos__neg_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | 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)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__nonneg__pos_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | 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)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__pos__nonneg_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | 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)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__strict__increasing_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.60/0.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_b,V_c,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_linorder__not__le_1,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | ~ c_lessequals(V_x,V_y,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_linorder__not__le_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.60/0.83 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_linorder__not__less_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | c_lessequals(V_y,V_x,T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_linorder__not__less_1,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.60/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.60/0.83 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | ~ c_lessequals(V_x,V_x,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_not__leE_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.60/0.83 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__le__not__le_1,axiom,
% 0.60/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.60/0.83 | ~ c_lessequals(V_y,V_x,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__le__D1_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_lessequals(V_a,V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__less__le_2,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.60/0.83 | V_x = V_y
% 0.60/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__le__less_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | V_x = V_y
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.60/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__le__neq__trans_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.60/0.83 | V_a = V_b
% 0.60/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__neq__le__trans_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,V_b,T_a)
% 0.60/0.83 | V_a = V_b ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | V_x = V_y
% 0.60/0.83 | ~ c_lessequals(V_x,V_y,T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.60/0.83 | V_x = V_y
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.60/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_xt1_I12_J_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(V_b,V_a,T_a)
% 0.60/0.83 | V_a = V_b ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_xt1_I11_J_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.60/0.83 | V_a = V_b
% 0.60/0.83 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__ge__self_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__le__not__le_2,axiom,
% 0.60/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.60/0.83 | c_lessequals(V_y,V_x,T_a)
% 0.60/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__le__less_1,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_lessequals(V_x,V_y,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__less__imp__le_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.60/0.83 | c_lessequals(V_x,V_y,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__le__less__trans_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.60/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__less__le__trans_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.60/0.83 | ~ c_lessequals(V_y,V_z,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_xt1_I8_J_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.60/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_xt1_I7_J_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.60/0.83 | ~ c_lessequals(V_z,V_y,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__of__nat__zero__iff_0,axiom,
% 0.60/0.83 ( c_RealDef_Oreal(V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.60/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__less__0__iff_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__less__0__iff_1,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__less__0__iff_2,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__less__0__iff_3,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_div__less_0,axiom,
% 0.60/0.83 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__of__pos_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__neg__neg_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | 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)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__less__Suc_0,axiom,
% 0.60/0.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.60/0.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_nat__lt__two__imp__zero__or__one_0,axiom,
% 0.60/0.83 ( V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_x = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__gr__0_0,axiom,
% 0.60/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.60/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.60/0.83 | ~ 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) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__eq__0_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_order__less__trans_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_xt1_I10_J_0,axiom,
% 0.60/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__of__nat__less__iff_0,axiom,
% 0.60/0.83 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(V_n,tc_nat),c_RealDef_Oreal(V_m,tc_nat),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__of__nat__less__iff_1,axiom,
% 0.60/0.83 ( c_HOL_Oord__class_Oless(c_RealDef_Oreal(V_n,tc_nat),c_RealDef_Oreal(V_m,tc_nat),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__Suc0_0,axiom,
% 0.60/0.83 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_neg__less__0__iff__less_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_neg__less__0__iff__less_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_norm__not__less__zero_0,axiom,
% 0.60/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_not__real__of__nat__less__zero_0,axiom,
% 0.60/0.83 ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_norm__le__zero__iff_0,axiom,
% 0.60/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.60/0.83 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.83 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__sum__gt__zero__less_0,axiom,
% 0.60/0.83 ( c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__less__sum__gt__zero_0,axiom,
% 0.60/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__0__less__add__iff_1,axiom,
% 0.60/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__0__less__add__iff_0,axiom,
% 0.60/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__real__of__nat__cancel_0,axiom,
% 0.60/0.83 c_HOL_Oabs__class_Oabs(c_RealDef_Oreal(V_x,tc_nat),tc_RealDef_Oreal) = c_RealDef_Oreal(V_x,tc_nat) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_estimate__by__abs_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.60/0.83 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.60/0.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__increasing2_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.60/0.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.60/0.83 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_b,V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__increasing_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.60/0.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.60/0.83 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_b,V_c,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | 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) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__triangle__ineq_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__less__le__mono_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.60/0.83 | 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)
% 0.60/0.83 | ~ c_lessequals(V_c,V_d,T_a)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__le__less__mono_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.60/0.83 | 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)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_not__one__le__zero_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__one_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__add__one_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.60/0.83 | 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) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__ge__minus__self_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_minus__le__self__iff_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_minus__le__self__iff_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_le__minus__self__iff_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_le__minus__self__iff_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_neg__0__le__iff__le_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_neg__0__le__iff__le_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__le__iff_2,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__leI_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__le__D2_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_neg__le__0__iff__le_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_neg__le__0__iff__le_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__divide__iff_5,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__divide__iff_4,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__le__0__iff_3,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__le__0__iff_2,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__le__0__iff_1,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__le__0__iff_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__right__mono__neg_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__right__mono_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__le__0__iff_5,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__le__0__iff_4,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__divide__iff_3,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__divide__iff_2,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__divide__iff_1,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_zero__le__divide__iff_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.83 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.83 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_minus__unique_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.83 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.83 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.83 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_ab__left__minus_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.60/0.83 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_right__minus_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.83 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_left__minus_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.60/0.83 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_right__inverse__eq_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.83 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.60/0.83 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.83 | V_a = V_b ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_right__inverse__eq_1,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.83 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.60/0.83 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__self_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.83 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.60/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__self__if_1,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.60/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_of__nat__add_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.60/0.83 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.83 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 0.60/0.83 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.60/0.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.60/0.83 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_norm__one_0,axiom,
% 0.60/0.83 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 0.60/0.83 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__is__1_5,axiom,
% 0.60/0.83 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)) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_one__is__add_4,axiom,
% 0.60/0.83 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) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_one__is__add_1,axiom,
% 0.60/0.83 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.60/0.83 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_one__is__add_2,axiom,
% 0.60/0.83 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.60/0.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_one__is__add_5,axiom,
% 0.60/0.83 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) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_one__is__add_0,axiom,
% 0.60/0.83 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.60/0.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.83 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_one__is__add_3,axiom,
% 0.60/0.83 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.60/0.83 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__is__1_1,axiom,
% 0.60/0.83 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__is__1_2,axiom,
% 0.60/0.83 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__add__Suc1_0,axiom,
% 0.60/0.83 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__add__Suc2_0,axiom,
% 0.60/0.83 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.60/0.83 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__is__1_4,axiom,
% 0.60/0.83 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)) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__is__1_0,axiom,
% 0.60/0.83 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.83 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_add__is__1_3,axiom,
% 0.60/0.83 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.60/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_th000_I1_J_0,axiom,
% 0.60/0.83 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_norm__divide_0,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.60/0.83 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__0__le__divide__iff_5,axiom,
% 0.60/0.83 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__0__le__divide__iff_4,axiom,
% 0.60/0.83 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__0__le__divide__iff_3,axiom,
% 0.60/0.83 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__0__le__divide__iff_2,axiom,
% 0.60/0.83 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__0__le__divide__iff_1,axiom,
% 0.60/0.83 ( c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__0__le__divide__iff_0,axiom,
% 0.60/0.83 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.60/0.83 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__of__nat__ge__zero_0,axiom,
% 0.60/0.83 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__le__interval__iff_2,axiom,
% 0.60/0.83 ( c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(V_x,V_r,tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__le__interval__iff_0,axiom,
% 0.60/0.83 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__add__eq__0__iff_0,axiom,
% 0.60/0.83 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.60/0.83 | V_y = c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__add__minus__iff_0,axiom,
% 0.60/0.83 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.60/0.83 | V_x = V_a ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__minus__add__cancel_0,axiom,
% 0.60/0.83 c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_real__add__eq__0__iff_1,axiom,
% 0.60/0.83 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_le__eq__neg_1,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_le__eq__neg_0,axiom,
% 0.60/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_divide__le__0__1__iff_1,axiom,
% 0.60/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.60/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.60/0.83 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.60/0.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_norm__le__zero__iff_1,axiom,
% 0.60/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.60/0.83 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_norm__eq__zero_0,axiom,
% 0.60/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.60/0.83 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.60/0.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_abs__norm__cancel_0,axiom,
% 0.60/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.60/0.83 | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.60/0.83 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.60/0.83 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.60/0.83 | V_m = V_n ) ).
% 0.60/0.83
% 0.60/0.83 cnf(cls_div__if_0,axiom,
% 0.60/0.83 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.60/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_real__abs__def_0,axiom,
% 0.78/0.83 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_abs__if__lattice_0,axiom,
% 0.78/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.83 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.78/0.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_abs__if_0,axiom,
% 0.78/0.83 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.78/0.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_abs__of__neg_0,axiom,
% 0.78/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.83 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_div__0_0,axiom,
% 0.78/0.83 ( ~ class_Divides_Osemiring__div(T_a)
% 0.78/0.83 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_div__by__0_0,axiom,
% 0.78/0.83 ( ~ class_Divides_Osemiring__div(T_a)
% 0.78/0.83 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_even__less__0__iff_1,axiom,
% 0.78/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.83 | 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)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_even__less__0__iff_0,axiom,
% 0.78/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.83 | ~ 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) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.78/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.78/0.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.83 | ~ 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) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.78/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.78/0.83 | 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)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_abs__less__iff_1,axiom,
% 0.78/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_abs__div__pos_0,axiom,
% 0.78/0.83 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.83 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.83 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_zero__less__norm__iff_0,axiom,
% 0.78/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.78/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ).
% 0.78/0.83
% 0.78/0.83 cnf(cls_abs__le__zero__iff_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_linorder__neqE_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.78/0.84 | V_x = V_y ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.78/0.84 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.78/0.84 | V_x = V_y ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__neq__iff_0,axiom,
% 0.78/0.84 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.78/0.84 | V_m = V_n ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_linorder__less__linear_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.78/0.84 | V_x = V_y
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.84 | V_x = V_y
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.84 | V_x = V_y
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.78/0.84 | V_x = V_y ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__of__nonneg_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.78/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__norm__iff_1,axiom,
% 0.78/0.84 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)
% 0.78/0.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__less__iff_2,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_pos__add__strict_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__divide__iff_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__divide__iff_1,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__divide__iff_2,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__divide__iff_3,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__gr__0_2,axiom,
% 0.78/0.84 ( 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)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__gr__0_1,axiom,
% 0.78/0.84 ( 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)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.78/0.84 | ~ 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.78/0.84 | 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)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_div__1_0,axiom,
% 0.78/0.84 c_Divides_Odiv__class_Odiv(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = V_m ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_norm__ge__zero_0,axiom,
% 0.78/0.84 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.78/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__less__eq_2,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__less__eq_3,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_less__divide__eq_2,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_less__divide__eq_3,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__neg__neg_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__pos__pos_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__divide__iff_4,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__divide__iff_5,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__strict__right__mono_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__of__nat_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.84 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) = c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__le__zero__iff_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_of__nat__0_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.78/0.84 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nonzero__abs__divide_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.78/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_gr__implies__not0_0,axiom,
% 0.78/0.84 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_not__less0_0,axiom,
% 0.78/0.84 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__add__one__gt__zero_0,axiom,
% 0.78/0.84 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_div__self_0,axiom,
% 0.78/0.84 ( ~ class_Divides_Osemiring__div(T_a)
% 0.78/0.84 | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.78/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__idempotent_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__abs__iff_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.78/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_norm__zero_0,axiom,
% 0.78/0.84 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.78/0.84 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__of__nat__gt__zero__cancel__iff_0,axiom,
% 0.78/0.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__of__nat__gt__zero__cancel__iff_1,axiom,
% 0.78/0.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_less__Suc0_1,axiom,
% 0.78/0.84 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_not__one__less__zero_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__less__iff_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_linorder__neq__iff_1,axiom,
% 0.78/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__less__le_1,axiom,
% 0.78/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__less__def_1,axiom,
% 0.78/0.84 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_less__not__refl_0,axiom,
% 0.78/0.84 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__less__le_1,axiom,
% 0.78/0.84 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__less__irrefl_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Opreorder(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__pos__pos_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.78/0.84 | 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)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__not__less__zero_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_of__nat__less__iff_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_of__nat__less__iff_1,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__one_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_gr0I_0,axiom,
% 0.78/0.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.78/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_neq0__conv_1,axiom,
% 0.78/0.84 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__abs__def_1,axiom,
% 0.78/0.84 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = V_r
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__if__lattice_1,axiom,
% 0.78/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.84 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.78/0.84 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__if_1,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.78/0.84 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__of__nat__zero_0,axiom,
% 0.78/0.84 c_RealDef_Oreal(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__eq__0_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.78/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__less__abs__iff_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__neg__pos_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__pos__neg_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__less__0__iff_4,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__less__0__iff_5,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_neg__0__less__iff__less_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_neg__0__less__iff__less_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_less__minus__self__iff_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_less__minus__self__iff_1,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__ge__zero_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.78/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__less__asym_H_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Opreorder(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__less__asym_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Opreorder(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.78/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_xt1_I9_J_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__le__0__1__iff_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_less__half__sum_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_gt__half__sum_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.78/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_of__nat__Suc_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.78/0.84 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_norm__triangle__ineq_0,axiom,
% 0.78/0.84 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.78/0.84 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_th000_I3_J_0,axiom,
% 0.78/0.84 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__of__nat__one_0,axiom,
% 0.78/0.84 c_RealDef_Oreal(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__of__nat__div4_0,axiom,
% 0.78/0.84 c_lessequals(c_RealDef_Oreal(c_Divides_Odiv__class_Odiv(V_n,V_x,tc_nat),tc_nat),c_HOL_Oinverse__class_Odivide(c_RealDef_Oreal(V_n,tc_nat),c_RealDef_Oreal(V_x,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__add__le__0__iff_0,axiom,
% 0.78/0.84 ( c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__add__le__0__iff_1,axiom,
% 0.78/0.84 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_abs__sum__triangle__ineq_0,axiom,
% 0.78/0.84 c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__0__le__add__iff_0,axiom,
% 0.78/0.84 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__0__le__add__iff_1,axiom,
% 0.78/0.84 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__less__real__le_0,axiom,
% 0.78/0.84 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(V_m,tc_nat),tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__less__real__le_1,axiom,
% 0.78/0.84 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(V_m,tc_nat),tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__le__linear_0,axiom,
% 0.78/0.84 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.78/0.84 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_linorder__linear_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.78/0.84 | c_lessequals(V_y,V_x,T_a)
% 0.78/0.84 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__add__distrib_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__add_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_xt1_I6_J_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.78/0.84 | c_lessequals(V_z,V_x,T_a)
% 0.78/0.84 | ~ c_lessequals(V_z,V_y,T_a)
% 0.78/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__trans_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Opreorder(T_a)
% 0.78/0.84 | c_lessequals(V_x,V_z,T_a)
% 0.78/0.84 | ~ c_lessequals(V_y,V_z,T_a)
% 0.78/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_le__add__right__mono_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.78/0.84 | ~ c_lessequals(V_c,V_d,T_a)
% 0.78/0.84 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__le__refl_0,axiom,
% 0.78/0.84 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__le__trans_0,axiom,
% 0.78/0.84 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__eq__iff_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.78/0.84 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__eq__refl_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Opreorder(T_a)
% 0.78/0.84 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_th000_I2_J_0,axiom,
% 0.78/0.84 c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__add__cancel_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__cancel__end_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_Suc__inject_0,axiom,
% 0.78/0.84 ( c_Suc(V_x) != c_Suc(V_y)
% 0.78/0.84 | V_x = V_y ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat_Oinject_0,axiom,
% 0.78/0.84 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.78/0.84 | V_nat = V_nat_H ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__add__commute_0,axiom,
% 0.78/0.84 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__Suc__right_0,axiom,
% 0.78/0.84 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)) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__Suc_0,axiom,
% 0.78/0.84 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)) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__mono_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.78/0.84 | 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)
% 0.78/0.84 | ~ c_lessequals(V_c,V_d,T_a)
% 0.78/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__cancel__21_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.78/0.84 | 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)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__Suc__shift_0,axiom,
% 0.78/0.84 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) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__right__cancel_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.78/0.84 | V_b = V_c ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__left__cancel_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.78/0.84 | V_b = V_c ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__imp__eq_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.78/0.84 | V_b = V_c ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.78/0.84 | ~ class_Int_Onumber__ring(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.78/0.84 | V_y = V_z ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.78/0.84 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 0.78/0.84 | V_y = V_z ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.78/0.84 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.78/0.84 | V_m = V_n ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.78/0.84 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 0.78/0.84 | V_m = V_n ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide__1_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.78/0.84 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__of__nat__Suc_0,axiom,
% 0.78/0.84 c_RealDef_Oreal(c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__divide__left_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__divide__right_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_th00_0,axiom,
% 0.78/0.84 c_lessequals(c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_Suc__n__not__n_0,axiom,
% 0.78/0.84 c_Suc(V_n) != V_n ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_n__not__Suc__n_0,axiom,
% 0.78/0.84 V_n != c_Suc(V_n) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__minus__cancel_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__le__cancel__right_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.78/0.84 | 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)
% 0.78/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__le__cancel__right_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.78/0.84 | c_lessequals(V_a,V_b,T_a)
% 0.78/0.84 | ~ 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__le__cancel__left_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.78/0.84 | 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)
% 0.78/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__le__cancel__left_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.78/0.84 | c_lessequals(V_a,V_b,T_a)
% 0.78/0.84 | ~ 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__right__mono_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.78/0.84 | 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)
% 0.78/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__left__mono_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.78/0.84 | 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)
% 0.78/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__add__left__mono_0,axiom,
% 0.78/0.84 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__antisym__conv_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.78/0.84 | V_x = V_y
% 0.78/0.84 | ~ c_lessequals(V_x,V_y,T_a)
% 0.78/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__eq__iff_2,axiom,
% 0.78/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.78/0.84 | V_x = V_y
% 0.78/0.84 | ~ c_lessequals(V_y,V_x,T_a)
% 0.78/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_order__antisym_0,axiom,
% 0.78/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.78/0.84 | V_x = V_y
% 0.78/0.84 | ~ c_lessequals(V_y,V_x,T_a)
% 0.78/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__le__antisym_0,axiom,
% 0.78/0.84 ( V_z = V_w
% 0.78/0.84 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.78/0.84 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.78/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.78/0.84 | V_x = V_y ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.78/0.84 | V_a = V_b ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__of__nat__inject_0,axiom,
% 0.78/0.84 ( c_RealDef_Oreal(V_n,tc_nat) != c_RealDef_Oreal(V_m,tc_nat)
% 0.78/0.84 | V_n = V_m ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_neg__le__iff__le_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_lessequals(V_a,V_b,T_a)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_le__imp__neg__le_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.78/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__add__assoc_0,axiom,
% 0.78/0.84 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) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_nat__add__left__commute_0,axiom,
% 0.78/0.84 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) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__cancel__21_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.78/0.84 | 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) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_real__of__nat__add_0,axiom,
% 0.78/0.84 c_RealDef_Oreal(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(V_m,tc_nat),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__divide__divide_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.78/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.78/0.84 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide_Ominus_0,axiom,
% 0.78/0.84 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.78/0.84 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__cancel__end_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.78/0.84 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 0.78/0.84 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_add__divide__distrib_0,axiom,
% 0.78/0.84 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.78/0.84 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_divide_Oadd_0,axiom,
% 0.78/0.84 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.78/0.84 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__equation__iff_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_equation__minus__iff_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.78/0.84 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_equation__minus__iff_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.78/0.84 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_double__compl_0,axiom,
% 0.78/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__minus_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.78/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__le__iff_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_minus__le__iff_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.78/0.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_le__minus__iff_1,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.78/0.84 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_le__minus__iff_0,axiom,
% 0.78/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.78/0.84 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.78/0.84 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_CHAINED_0,axiom,
% 0.78/0.84 c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(cls_conjecture_0,negated_conjecture,
% 0.78/0.84 ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.78/0.84 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.78/0.84 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.78/0.84 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.78/0.84 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.78/0.84 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.78/0.84 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.78/0.84 class_Divides_Osemiring__div(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.78/0.84 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.78/0.84 class_Orderings_Opreorder(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.78/0.84 class_Orderings_Olinorder(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.78/0.84 class_Orderings_Oorder(tc_nat) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 0.78/0.84 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.78/0.84 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 0.78/0.84 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 0.78/0.84 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 0.78/0.84 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 0.78/0.84 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 0.78/0.84 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.78/0.84 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 0.78/0.84 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 0.78/0.84 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 0.78/0.84 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.78/0.84 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 0.78/0.84 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 0.78/0.84 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__1,axiom,
% 0.78/0.84 class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 0.78/0.84 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 0.78/0.84 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 0.78/0.84 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 0.78/0.84 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 0.78/0.84 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 0.78/0.84 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Nat_Osemiring__char__0,axiom,
% 0.78/0.84 class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 0.78/0.84 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 0.78/0.84 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 0.78/0.84 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 0.78/0.84 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 0.78/0.84
% 0.78/0.84 %------------------------------------------------------------------------------
% 0.78/0.84 %-------------------------------------------
% 0.78/0.84 % Proof found
% 0.78/0.84 % SZS status Theorem for theBenchmark
% 0.78/0.84 % SZS output start Proof
% 0.78/0.85 %ClaNum:632(EqnAxiom:73)
% 0.78/0.85 %VarNum:3254(SingletonVarNum:1064)
% 0.78/0.85 %MaxLitNum:6
% 0.78/0.85 %MaxfuncDepth:6
% 0.78/0.85 %SharedTerms:95
% 0.78/0.85 %goalClause: 192
% 0.78/0.85 %singleGoalClaCount:1
% 0.78/0.85 [74]P1(a1)
% 0.78/0.85 [75]P5(a2)
% 0.78/0.85 [76]P6(a2)
% 0.78/0.85 [77]P18(a2)
% 0.78/0.85 [78]P19(a2)
% 0.78/0.85 [79]P20(a2)
% 0.78/0.85 [80]P30(a2)
% 0.78/0.85 [81]P31(a2)
% 0.78/0.85 [82]P21(a2)
% 0.78/0.85 [83]P34(a2)
% 0.78/0.85 [84]P36(a1)
% 0.78/0.85 [85]P36(a2)
% 0.78/0.85 [86]P37(a2)
% 0.78/0.85 [87]P38(a1)
% 0.78/0.85 [88]P38(a2)
% 0.78/0.85 [89]P32(a1)
% 0.78/0.85 [90]P32(a2)
% 0.78/0.85 [91]P7(a1)
% 0.78/0.85 [92]P7(a2)
% 0.78/0.85 [93]P35(a2)
% 0.78/0.85 [94]P8(a2)
% 0.78/0.85 [95]P15(a1)
% 0.78/0.85 [96]P15(a2)
% 0.78/0.85 [97]P16(a2)
% 0.78/0.85 [98]P22(a1)
% 0.78/0.85 [99]P22(a2)
% 0.78/0.85 [100]P23(a1)
% 0.78/0.85 [101]P23(a2)
% 0.78/0.85 [102]P25(a1)
% 0.78/0.85 [103]P25(a2)
% 0.78/0.85 [104]P26(a1)
% 0.78/0.85 [105]P26(a2)
% 0.78/0.85 [106]P27(a1)
% 0.78/0.85 [107]P27(a2)
% 0.78/0.85 [108]P28(a1)
% 0.78/0.85 [109]P28(a2)
% 0.78/0.85 [110]P17(a2)
% 0.78/0.85 [111]P9(a2)
% 0.78/0.85 [112]P39(a1)
% 0.78/0.85 [113]P39(a2)
% 0.78/0.85 [114]P29(a2)
% 0.78/0.85 [115]P10(a1)
% 0.78/0.85 [116]P10(a2)
% 0.78/0.85 [117]P33(a2)
% 0.78/0.85 [118]P24(a1)
% 0.78/0.85 [119]P24(a2)
% 0.78/0.85 [120]P12(a1)
% 0.78/0.85 [121]P12(a2)
% 0.78/0.85 [122]P13(a1)
% 0.78/0.85 [123]P13(a2)
% 0.78/0.85 [124]P14(a1)
% 0.78/0.85 [125]P14(a2)
% 0.78/0.85 [137]P2(f3(a2),f4(a2),a2)
% 0.78/0.85 [177]~E(f4(a2),f3(a2))
% 0.78/0.85 [126]E(f11(f3(a2)),f3(a1))
% 0.78/0.85 [127]E(f13(f3(a1),a1),f3(a2))
% 0.78/0.85 [151]P2(f13(f3(a1),a1),f3(a2),a2)
% 0.78/0.85 [128]E(f13(f14(f3(a1)),a1),f4(a2))
% 0.78/0.85 [170]P2(f13(f14(f9(a16,a17,a1)),a1),f13(f14(f18(f9(a16,a17,a1))),a1),a2)
% 0.78/0.85 [173]P2(f8(f4(a2),f13(f14(f18(f9(a16,a17,a1))),a1),a2),f8(f4(a2),f13(f14(f9(a16,a17,a1)),a1),a2),a2)
% 0.78/0.85 [192]~P2(f9(f10(a19,a2),f8(f4(a2),f13(f14(f18(f9(a16,a17,a1))),a1),a2),a2),f9(f10(a19,a2),f8(f4(a2),f13(f14(f9(a16,a17,a1)),a1),a2),a2),a2)
% 0.78/0.85 [131]P2(x1311,x1311,a2)
% 0.78/0.85 [183]~P3(x1831,x1831,a1)
% 0.78/0.85 [184]~P3(x1841,x1841,a2)
% 0.78/0.85 [136]P3(x1361,f14(x1361),a1)
% 0.78/0.85 [141]P3(f3(a1),f14(x1411),a1)
% 0.78/0.85 [150]P2(f3(a2),f13(x1501,a1),a2)
% 0.78/0.85 [176]~E(f14(x1761),x1761)
% 0.78/0.85 [181]~E(f14(x1811),f3(a1))
% 0.78/0.85 [186]~P3(x1861,f3(a1),a1)
% 0.78/0.85 [188]~P3(f13(x1881,a1),f3(a2),a2)
% 0.78/0.85 [129]E(f11(f13(x1291,a1)),x1291)
% 0.78/0.85 [130]E(f5(f13(x1301,a1),a2),f13(x1301,a1))
% 0.78/0.85 [133]E(f9(x1331,f3(a1),a1),x1331)
% 0.78/0.85 [134]E(f9(f3(a1),x1341,a1),x1341)
% 0.78/0.85 [149]E(f9(x1491,f10(x1491,a2),a2),f3(a2))
% 0.78/0.85 [152]P3(f3(a2),f13(f14(x1521),a1),a2)
% 0.78/0.85 [153]E(f9(f13(x1531,a1),f4(a2),a2),f13(f14(x1531),a1))
% 0.78/0.85 [158]P3(f3(a2),f9(f4(a2),f5(x1581,a2),a2),a2)
% 0.78/0.85 [160]P3(x1601,f9(f13(f11(x1601),a1),f4(a2),a2),a2)
% 0.78/0.85 [191]~P3(f9(f5(x1911,a2),f4(a2),a2),x1911,a2)
% 0.78/0.85 [142]E(f6(x1421,f14(f3(a1)),a1),x1421)
% 0.78/0.85 [143]E(f7(x1431,f14(f3(a1)),a1),f3(a1))
% 0.78/0.85 [154]E(f9(x1541,x1542,a1),f9(x1542,x1541,a1))
% 0.78/0.85 [189]~P3(f9(x1891,x1892,a1),x1892,a1)
% 0.78/0.85 [190]~P3(f9(x1901,x1902,a1),x1901,a1)
% 0.78/0.85 [155]E(f9(f14(x1551),x1552,a1),f9(x1551,f14(x1552),a1))
% 0.78/0.85 [156]E(f14(f9(x1561,x1562,a1)),f9(x1561,f14(x1562),a1))
% 0.78/0.85 [157]E(f14(f9(x1571,x1572,a1)),f9(f14(x1571),x1572,a1))
% 0.78/0.85 [159]E(f9(f13(x1591,a1),f13(x1592,a1),a2),f13(f9(x1591,x1592,a1),a1))
% 0.78/0.85 [161]P3(x1611,f14(f9(x1612,x1611,a1)),a1)
% 0.78/0.85 [163]P3(x1631,f14(f9(x1631,x1632,a1)),a1)
% 0.78/0.85 [168]P2(f13(f6(x1681,x1682,a1),a1),f8(f13(x1681,a1),f13(x1682,a1),a2),a2)
% 0.78/0.85 [166]E(f5(f9(x1661,f10(x1662,a2),a2),a2),f5(f9(x1662,f10(x1661,a2),a2),a2))
% 0.78/0.85 [167]E(f7(f14(f7(x1671,x1672,a1)),x1672,a1),f7(f14(x1671),x1672,a1))
% 0.78/0.85 [172]E(f9(f9(f6(x1721,x1722,a1),f6(f14(f3(a1)),x1722,a1),a1),f6(f9(f7(x1721,x1722,a1),f7(f14(f3(a1)),x1722,a1),a1),x1722,a1),a1),f6(f14(x1721),x1722,a1))
% 0.78/0.85 [164]E(f9(x1641,f9(x1642,x1643,a1),a1),f9(x1642,f9(x1641,x1643,a1),a1))
% 0.78/0.85 [165]E(f9(f9(x1651,x1652,a1),x1653,a1),f9(x1651,f9(x1652,x1653,a1),a1))
% 0.78/0.85 [171]E(f9(f9(f6(x1711,x1712,a1),f6(x1713,x1712,a1),a1),f6(f9(f7(x1711,x1712,a1),f7(x1713,x1712,a1),a1),x1712,a1),a1),f6(f9(x1711,x1713,a1),x1712,a1))
% 0.78/0.85 [174]P2(f5(f9(f9(x1741,x1742,a2),f9(f10(x1743,a2),f10(x1744,a2),a2),a2),a2),f9(f5(f9(x1741,f10(x1743,a2),a2),a2),f5(f9(x1742,f10(x1744,a2),a2),a2),a2),a2)
% 0.78/0.85 [196]~P36(x1961)+~E(f4(x1961),f3(x1961))
% 0.78/0.85 [197]E(x1971,f3(a1))+~E(f13(x1971,a1),f3(a2))
% 0.78/0.85 [221]E(x2211,f3(a1))+P3(f3(a1),x2211,a1)
% 0.78/0.85 [239]E(f5(x2391,a2),x2391)+P3(x2391,f3(a2),a2)
% 0.78/0.85 [249]~P38(x2491)+P2(f3(x2491),f4(x2491),x2491)
% 0.78/0.85 [250]~P38(x2501)+P3(f3(x2501),f4(x2501),x2501)
% 0.78/0.85 [277]E(f11(x2771),f3(a1))+~P2(x2771,f3(a2),a2)
% 0.78/0.85 [297]~P38(x2971)+~P2(f4(x2971),f3(x2971),x2971)
% 0.78/0.85 [298]~P38(x2981)+~P3(f4(x2981),f3(x2981),x2981)
% 0.78/0.85 [301]E(f10(x3011,a2),f5(x3011,a2))+~P3(x3011,f3(a2),a2)
% 0.78/0.85 [322]E(x3221,f3(a1))+~P2(f13(x3221,a1),f3(a2),a2)
% 0.78/0.85 [359]~P3(f3(a1),x3591,a1)+P3(f3(a2),f13(x3591,a1),a2)
% 0.78/0.85 [382]P3(f3(a1),x3821,a1)+~P3(f3(a2),f13(x3821,a1),a2)
% 0.78/0.85 [198]~P39(x1981)+E(f12(f3(a1),x1981),f3(x1981))
% 0.78/0.85 [199]~P18(x1991)+E(f15(f3(x1991),x1991),f3(a2))
% 0.78/0.85 [200]~P29(x2001)+E(f15(f4(x2001),x2001),f4(a2))
% 0.78/0.85 [202]~P5(x2021)+E(f10(f3(x2021),x2021),f3(x2021))
% 0.78/0.85 [203]~P6(x2031)+E(f10(f3(x2031),x2031),f3(x2031))
% 0.78/0.85 [204]~P19(x2041)+E(f5(f3(x2041),x2041),f3(x2041))
% 0.78/0.85 [205]~P37(x2051)+E(f5(f4(x2051),x2051),f4(x2051))
% 0.78/0.85 [252]~P16(x2521)+E(f9(f3(x2521),f3(x2521),x2521),f3(x2521))
% 0.78/0.85 [280]~P18(x2801)+P2(f15(f3(x2801),x2801),f3(a2),a2)
% 0.78/0.85 [284]~P19(x2841)+P2(f5(f3(x2841),x2841),f3(x2841),x2841)
% 0.78/0.85 [286]E(x2861,f3(a1))+~P3(x2861,f14(f3(a1)),a1)
% 0.78/0.85 [356]~P18(x3561)+~P3(f3(a2),f15(f3(x3561),x3561),a2)
% 0.78/0.85 [358]~P19(x3581)+~P3(f3(x3581),f5(f3(x3581),x3581),x3581)
% 0.78/0.85 [368]~P2(f3(a2),x3681,a2)+P2(f13(f11(x3681),a1),x3681,a2)
% 0.78/0.85 [410]~P38(x4101)+P3(f3(x4101),f9(f4(x4101),f4(x4101),x4101),x4101)
% 0.78/0.85 [226]~P27(x2262)+P2(x2261,x2261,x2262)
% 0.78/0.85 [227]~P28(x2272)+P2(x2271,x2271,x2272)
% 0.78/0.85 [270]~P3(x2702,x2702,x2701)+~P26(x2701)
% 0.78/0.85 [271]~P3(x2712,x2712,x2711)+~P27(x2711)
% 0.78/0.85 [272]~P3(x2722,x2722,x2721)+~P28(x2721)
% 0.78/0.85 [285]P2(x2852,x2851,a2)+P2(x2851,x2852,a2)
% 0.78/0.85 [327]~P3(x3271,x3272,a2)+P2(x3271,x3272,a2)
% 0.78/0.85 [194]E(x1941,x1942)+~E(f14(x1941),f14(x1942))
% 0.78/0.85 [211]E(x2111,x2112)+~E(f13(x2111,a1),f13(x2112,a1))
% 0.78/0.85 [228]~P1(x2282)+E(f7(x2281,x2281,x2282),f3(x2282))
% 0.78/0.85 [259]~P19(x2592)+P2(x2591,f5(x2591,x2592),x2592)
% 0.78/0.85 [261]~E(f9(x2612,x2611,a1),x2612)+E(x2611,f3(a1))
% 0.78/0.85 [262]~P18(x2622)+P2(f3(a2),f15(x2621,x2622),a2)
% 0.78/0.85 [264]E(x2641,f3(a1))+~E(f9(x2642,x2641,a1),f3(a1))
% 0.78/0.85 [265]E(x2651,f3(a1))+~E(f9(x2651,x2652,a1),f3(a1))
% 0.78/0.85 [273]~P19(x2731)+P2(f3(x2731),f5(x2732,x2731),x2731)
% 0.78/0.85 [275]~P38(x2751)+P2(f3(x2751),f12(x2752,x2751),x2751)
% 0.78/0.85 [279]E(x2791,f10(x2792,a2))+~E(f9(x2792,x2791,a2),f3(a2))
% 0.78/0.85 [299]P3(x2991,x2992,a1)+P3(x2992,f14(x2991),a1)
% 0.78/0.85 [302]~P19(x3022)+P2(f10(x3021,x3022),f5(x3021,x3022),x3022)
% 0.78/0.85 [326]~P18(x3261)+~P3(f15(x3262,x3261),f3(a2),a2)
% 0.78/0.85 [328]~P3(x3281,x3282,a1)+E(f7(x3281,x3282,a1),x3281)
% 0.78/0.85 [330]~P3(x3301,x3302,a1)+E(f6(x3301,x3302,a1),f3(a1))
% 0.78/0.85 [333]~P3(x3331,x3332,a1)+P3(x3331,f14(x3332),a1)
% 0.78/0.85 [334]~P19(x3341)+~P3(f5(x3342,x3341),f3(x3341),x3341)
% 0.78/0.85 [335]~P38(x3351)+~P3(f12(x3352,x3351),f3(x3351),x3351)
% 0.78/0.85 [338]P3(x3381,x3382,a1)+~P3(f14(x3381),x3382,a1)
% 0.78/0.85 [347]~P3(x3471,x3472,a1)+P3(f14(x3471),f14(x3472),a1)
% 0.78/0.85 [357]P3(x3571,x3572,a1)+~P3(f14(x3571),f14(x3572),a1)
% 0.78/0.85 [365]P2(x3651,x3652,a2)+~P2(f5(x3651,a2),x3652,a2)
% 0.78/0.85 [369]~P3(x3691,x3692,a1)+~P3(x3692,f14(x3691),a1)
% 0.78/0.85 [387]~P3(x3871,x3872,a1)+P3(f13(x3871,a1),f13(x3872,a1),a2)
% 0.78/0.85 [408]~P2(f5(x4082,a2),x4081,a2)+P2(f10(x4081,a2),x4082,a2)
% 0.78/0.85 [421]P3(x4211,x4212,a1)+~P3(f13(x4211,a1),f13(x4212,a1),a2)
% 0.78/0.85 [464]P3(f7(x4641,x4642,a1),x4642,a1)+~P3(f3(a1),x4642,a1)
% 0.78/0.85 [474]~P2(f10(x4741,a2),x4742,a2)+P2(f3(a2),f9(x4741,x4742,a2),a2)
% 0.78/0.85 [475]~P3(f10(x4751,a2),x4752,a2)+P3(f3(a2),f9(x4751,x4752,a2),a2)
% 0.78/0.85 [476]~P2(x4762,f10(x4761,a2),a2)+P2(f9(x4761,x4762,a2),f3(a2),a2)
% 0.78/0.85 [477]~P3(x4772,f10(x4771,a2),a2)+P3(f9(x4771,x4772,a2),f3(a2),a2)
% 0.78/0.85 [495]P2(x4951,f10(x4952,a2),a2)+~P2(f9(x4952,x4951,a2),f3(a2),a2)
% 0.78/0.85 [496]P3(x4961,f10(x4962,a2),a2)+~P3(f9(x4962,x4961,a2),f3(a2),a2)
% 0.78/0.85 [497]P2(f10(x4971,a2),x4972,a2)+~P2(f3(a2),f9(x4971,x4972,a2),a2)
% 0.78/0.85 [498]P3(f10(x4981,a2),x4982,a2)+~P3(f3(a2),f9(x4981,x4982,a2),a2)
% 0.78/0.85 [215]~P6(x2152)+E(f10(f10(x2151,x2152),x2152),x2151)
% 0.78/0.85 [216]~P11(x2162)+E(f10(f10(x2161,x2162),x2162),x2161)
% 0.78/0.85 [220]~P18(x2202)+E(f5(f15(x2201,x2202),a2),f15(x2201,x2202))
% 0.78/0.85 [222]~P18(x2222)+E(f15(f10(x2221,x2222),x2222),f15(x2221,x2222))
% 0.78/0.85 [223]~P19(x2232)+E(f5(f10(x2231,x2232),x2232),f5(x2231,x2232))
% 0.78/0.85 [224]~P19(x2242)+E(f5(f5(x2241,x2242),x2242),f5(x2241,x2242))
% 0.78/0.85 [225]~P37(x2252)+E(f5(f12(x2251,x2252),x2252),f12(x2251,x2252))
% 0.78/0.85 [229]~P1(x2292)+E(f7(x2291,f3(x2292),x2292),x2291)
% 0.78/0.85 [230]~P32(x2302)+E(f9(x2301,f3(x2302),x2302),x2301)
% 0.78/0.85 [231]~P7(x2312)+E(f9(x2311,f3(x2312),x2312),x2311)
% 0.78/0.85 [232]~P15(x2322)+E(f9(x2321,f3(x2322),x2322),x2321)
% 0.78/0.85 [233]~P1(x2332)+E(f6(x2331,f4(x2332),x2332),x2331)
% 0.78/0.85 [234]~P30(x2342)+E(f8(x2341,f4(x2342),x2342),x2341)
% 0.78/0.85 [236]~P32(x2361)+E(f9(f3(x2361),x2362,x2361),x2362)
% 0.78/0.85 [237]~P7(x2371)+E(f9(f3(x2371),x2372,x2371),x2372)
% 0.78/0.85 [238]~P15(x2381)+E(f9(f3(x2381),x2382,x2381),x2382)
% 0.78/0.85 [243]~P1(x2432)+E(f7(x2431,f4(x2432),x2432),f3(x2432))
% 0.78/0.85 [244]~P1(x2442)+E(f6(x2441,f3(x2442),x2442),f3(x2442))
% 0.78/0.85 [245]~P1(x2451)+E(f7(f3(x2451),x2452,x2451),f3(x2451))
% 0.78/0.85 [246]~P1(x2461)+E(f6(f3(x2461),x2462,x2461),f3(x2461))
% 0.78/0.85 [247]~P30(x2471)+E(f8(f3(x2471),x2472,x2471),f3(x2471))
% 0.78/0.85 [248]~P21(x2481)+E(f8(f3(x2481),x2482,x2481),f3(x2481))
% 0.78/0.85 [266]~P6(x2662)+E(f9(x2661,f10(x2661,x2662),x2662),f3(x2662))
% 0.78/0.85 [268]~P6(x2682)+E(f9(f10(x2681,x2682),x2681,x2682),f3(x2682))
% 0.78/0.85 [269]~P9(x2692)+E(f9(f10(x2691,x2692),x2691,x2692),f3(x2692))
% 0.78/0.85 [303]~P39(x3031)+E(f9(f4(x3031),f12(x3032,x3031),x3031),f12(f14(x3032),x3031))
% 0.78/0.85 [321]E(x3211,x3212)+~E(f9(x3211,f10(x3212,a2),a2),f3(a2))
% 0.78/0.85 [337]~P19(x3372)+P2(f10(f5(x3371,x3372),x3372),f3(x3372),x3372)
% 0.78/0.85 [381]~P38(x3812)+P3(x3811,f9(x3811,f4(x3812),x3812),x3812)
% 0.78/0.85 [445]~E(f14(f7(x4451,x4452,a1)),x4452)+E(f7(f14(x4451),x4452,a1),f3(a1))
% 0.78/0.85 [472]E(f14(f7(x4721,x4722,a1)),x4722)+E(f14(f7(x4721,x4722,a1)),f7(f14(x4721),x4722,a1))
% 0.78/0.85 [479]~P3(x4792,x4791,a2)+P3(f3(a2),f9(x4791,f10(x4792,a2),a2),a2)
% 0.78/0.85 [494]~P3(x4941,x4942,a1)+P2(f9(f13(x4941,a1),f4(a2),a2),f13(x4942,a1),a2)
% 0.78/0.85 [569]P3(x5691,x5692,a2)+~P3(f3(a2),f9(x5692,f10(x5691,a2),a2),a2)
% 0.78/0.85 [593]P3(x5931,x5932,a1)+~P2(f9(f13(x5931,a1),f4(a2),a2),f13(x5932,a1),a2)
% 0.78/0.85 [490]~P2(f3(a2),x4901,a2)+E(f11(f9(x4901,f13(x4902,a1),a2)),f9(f11(x4901),x4902,a1))
% 0.78/0.85 [632]~P3(f3(a1),x6322,a1)+E(f9(f13(f6(x6321,x6322,a1),a1),f8(f13(f7(x6321,x6322,a1),a1),f13(x6322,a1),a2),a2),f8(f13(x6321,a1),f13(x6322,a1),a2))
% 0.78/0.85 [307]~P32(x3073)+E(f9(x3071,x3072,x3073),f9(x3072,x3071,x3073))
% 0.78/0.85 [308]~P7(x3083)+E(f9(x3081,x3082,x3083),f9(x3082,x3081,x3083))
% 0.78/0.85 [361]E(x3611,x3612)+~E(f9(x3613,x3611,a1),f9(x3613,x3612,a1))
% 0.78/0.85 [362]E(x3621,x3622)+~E(f9(x3621,x3623,a1),f9(x3622,x3623,a1))
% 0.78/0.85 [460]~P3(x4601,x4603,a1)+P3(x4601,f9(x4602,x4603,a1),a1)
% 0.78/0.85 [462]~P3(x4621,x4622,a1)+P3(x4621,f9(x4622,x4623,a1),a1)
% 0.78/0.85 [486]P3(x4861,x4862,a1)+~P3(f9(x4861,x4863,a1),x4862,a1)
% 0.78/0.85 [521]~P2(x5212,x5213,a2)+P2(f9(x5211,x5212,a2),f9(x5211,x5213,a2),a2)
% 0.78/0.85 [522]~P3(x5221,x5223,a1)+P3(f9(x5221,x5222,a1),f9(x5223,x5222,a1),a1)
% 0.78/0.85 [523]~P3(x5232,x5233,a1)+P3(f9(x5231,x5232,a1),f9(x5231,x5233,a1),a1)
% 0.78/0.85 [608]P3(x6081,x6082,a1)+~P3(f9(x6083,x6081,a1),f9(x6083,x6082,a1),a1)
% 0.78/0.85 [364]~P1(x3643)+E(f6(f7(x3641,x3642,x3643),x3642,x3643),f3(x3643))
% 0.78/0.85 [406]~P9(x4062)+E(f9(f10(x4061,x4062),f9(x4063,x4061,x4062),x4062),x4063)
% 0.78/0.85 [407]~P6(x4072)+E(f9(f10(x4071,x4072),f9(x4071,x4073,x4072),x4072),x4073)
% 0.78/0.85 [419]~P30(x4192)+E(f8(f10(x4191,x4192),x4193,x4192),f10(f8(x4191,x4193,x4192),x4192))
% 0.78/0.85 [420]~P21(x4202)+E(f8(f10(x4201,x4202),x4203,x4202),f10(f8(x4201,x4203,x4202),x4202))
% 0.78/0.85 [436]~P1(x4363)+E(f7(f7(x4361,x4362,x4363),x4362,x4363),f7(x4361,x4362,x4363))
% 0.78/0.85 [437]~P1(x4373)+E(f7(f9(x4371,x4372,x4373),x4372,x4373),f7(x4371,x4372,x4373))
% 0.78/0.85 [438]~P1(x4383)+E(f7(f9(x4381,x4382,x4383),x4381,x4383),f7(x4382,x4381,x4383))
% 0.78/0.85 [444]~P39(x4442)+E(f9(f12(x4441,x4442),f12(x4443,x4442),x4442),f12(f9(x4441,x4443,a1),x4442))
% 0.78/0.85 [446]~P6(x4462)+E(f9(f10(x4461,x4462),f10(x4463,x4462),x4462),f10(f9(x4463,x4461,x4462),x4462))
% 0.78/0.85 [447]~P9(x4472)+E(f9(f10(x4471,x4472),f10(x4473,x4472),x4472),f10(f9(x4471,x4473,x4472),x4472))
% 0.78/0.85 [616]~P18(x6163)+P2(f15(f9(x6161,x6162,x6163),x6163),f9(f15(x6161,x6163),f15(x6162,x6163),a2),a2)
% 0.78/0.85 [618]~P19(x6183)+P2(f5(f9(x6181,x6182,x6183),x6183),f9(f5(x6181,x6183),f5(x6182,x6183),x6183),x6183)
% 0.78/0.85 [435]~P6(x4352)+E(f9(x4351,f9(f10(x4351,x4352),x4353,x4352),x4352),x4353)
% 0.78/0.85 [517]~P19(x5172)+E(f5(f9(f5(x5171,x5172),f5(x5173,x5172),x5172),x5172),f9(f5(x5171,x5172),f5(x5173,x5172),x5172))
% 0.78/0.85 [570]~P4(x5703)+E(f7(f10(f7(x5701,x5702,x5703),x5703),x5702,x5703),f7(f10(x5701,x5703),x5702,x5703))
% 0.78/0.85 [499]~P32(x4994)+E(f9(x4991,f9(x4992,x4993,x4994),x4994),f9(x4992,f9(x4991,x4993,x4994),x4994))
% 0.78/0.85 [500]~P7(x5004)+E(f9(x5001,f9(x5002,x5003,x5004),x5004),f9(x5002,f9(x5001,x5003,x5004),x5004))
% 0.78/0.85 [501]~P9(x5014)+E(f9(x5011,f9(x5012,x5013,x5014),x5014),f9(x5012,f9(x5011,x5013,x5014),x5014))
% 0.78/0.85 [504]~P32(x5043)+E(f9(f9(x5041,x5042,x5043),x5044,x5043),f9(x5041,f9(x5042,x5044,x5043),x5043))
% 0.78/0.85 [505]~P7(x5053)+E(f9(f9(x5051,x5052,x5053),x5054,x5053),f9(x5051,f9(x5052,x5054,x5053),x5053))
% 0.78/0.85 [506]~P14(x5063)+E(f9(f9(x5061,x5062,x5063),x5064,x5063),f9(x5061,f9(x5062,x5064,x5063),x5063))
% 0.78/0.85 [507]~P32(x5073)+E(f9(f9(x5071,x5072,x5073),x5074,x5073),f9(f9(x5071,x5074,x5073),x5072,x5073))
% 0.78/0.85 [595]~P30(x5953)+E(f9(f8(x5951,x5952,x5953),f8(x5954,x5952,x5953),x5953),f8(f9(x5951,x5954,x5953),x5952,x5953))
% 0.78/0.85 [596]~P21(x5963)+E(f9(f8(x5961,x5962,x5963),f8(x5964,x5962,x5963),x5963),f8(f9(x5961,x5964,x5963),x5962,x5963))
% 0.78/0.85 [621]~P1(x6214)+E(f7(f9(x6211,f7(x6212,x6213,x6214),x6214),x6213,x6214),f7(f9(x6211,x6212,x6214),x6213,x6214))
% 0.78/0.85 [622]~P1(x6223)+E(f7(f9(f7(x6221,x6222,x6223),x6224,x6223),x6222,x6223),f7(f9(x6221,x6224,x6223),x6222,x6223))
% 0.78/0.85 [631]~P1(x6313)+E(f7(f9(f7(x6311,x6312,x6313),f7(x6314,x6312,x6313),x6313),x6312,x6313),f7(f9(x6311,x6314,x6313),x6312,x6313))
% 0.78/0.85 [623]~P32(x6233)+E(f9(f9(x6231,x6232,x6233),f9(x6234,x6235,x6233),x6233),f9(f9(x6231,x6234,x6233),f9(x6232,x6235,x6233),x6233))
% 0.78/0.85 [388]~P25(x3881)+~P2(f3(x3881),f3(x3881),x3881)+E(f9(f3(x3881),f3(x3881),x3881),f3(x3881))
% 0.78/0.85 [336]E(x3361,f3(a1))+E(x3361,f14(f3(a1)))+~P3(x3361,f14(f14(f3(a1))),a1)
% 0.78/0.85 [294]E(x2941,x2942)+P3(x2942,x2941,a1)+P3(x2941,x2942,a1)
% 0.78/0.85 [331]E(x3311,x3312)+P3(x3311,x3312,a2)+~P2(x3311,x3312,a2)
% 0.78/0.85 [363]E(x3631,x3632)+~P2(x3632,x3631,a2)+~P2(x3631,x3632,a2)
% 0.78/0.85 [206]~P5(x2062)+~E(f10(x2061,x2062),x2061)+E(x2061,f3(x2062))
% 0.78/0.85 [207]~P18(x2072)+E(x2071,f3(x2072))+~E(f15(x2071,x2072),f3(a2))
% 0.78/0.85 [208]~P6(x2082)+~E(f10(x2081,x2082),f3(x2082))+E(x2081,f3(x2082))
% 0.78/0.85 [209]~P19(x2092)+~E(f5(x2091,x2092),f3(x2092))+E(x2091,f3(x2092))
% 0.78/0.85 [210]~P6(x2101)+~E(f10(x2102,x2101),f3(x2101))+E(f3(x2101),x2102)
% 0.78/0.85 [240]~P1(x2402)+E(f6(x2401,x2401,x2402),f4(x2402))+E(x2401,f3(x2402))
% 0.78/0.85 [242]~P30(x2422)+E(f8(x2421,x2421,x2422),f4(x2422))+E(x2421,f3(x2422))
% 0.78/0.85 [257]~P33(x2572)+P3(x2571,f3(x2572),x2572)+E(f5(x2571,x2572),x2571)
% 0.78/0.85 [276]~P18(x2762)+E(x2761,f3(x2762))+P3(f3(a2),f15(x2761,x2762),a2)
% 0.78/0.85 [278]~P19(x2782)+P3(f3(x2782),f5(x2781,x2782),x2782)+E(x2781,f3(x2782))
% 0.78/0.85 [283]~P16(x2832)+~E(f9(x2831,x2831,x2832),f3(x2832))+E(x2831,f3(x2832))
% 0.78/0.85 [314]~P19(x3142)+~P2(f3(x3142),x3141,x3142)+E(f5(x3141,x3142),x3141)
% 0.78/0.85 [315]~P19(x3152)+~P3(f3(x3152),x3151,x3152)+E(f5(x3151,x3152),x3151)
% 0.78/0.85 [323]~P19(x3232)+~P2(x3231,f3(x3232),x3232)+E(f10(x3231,x3232),f5(x3231,x3232))
% 0.78/0.85 [324]~P19(x3242)+~P3(x3241,f3(x3242),x3242)+E(f10(x3241,x3242),f5(x3241,x3242))
% 0.78/0.85 [325]~P33(x3252)+~P3(x3251,f3(x3252),x3252)+E(f10(x3251,x3252),f5(x3251,x3252))
% 0.78/0.85 [332]~P18(x3322)+E(x3321,f3(x3322))+~P2(f15(x3321,x3322),f3(a2),a2)
% 0.78/0.85 [341]~P3(x3411,x3412,a1)+E(f14(x3411),x3412)+P3(f14(x3411),x3412,a1)
% 0.78/0.85 [342]E(x3421,x3422)+P3(x3422,x3421,a1)+~P3(x3422,f14(x3421),a1)
% 0.78/0.85 [344]E(x3441,x3442)+P3(x3441,x3442,a1)+~P3(x3441,f14(x3442),a1)
% 0.78/0.85 [345]~P19(x3452)+~P2(f5(x3451,x3452),f3(x3452),x3452)+E(x3451,f3(x3452))
% 0.78/0.85 [386]~P38(x3861)+P3(f3(x3861),f12(x3862,x3861),x3861)+~P3(f3(a1),x3862,a1)
% 0.78/0.85 [389]~P5(x3892)+~P2(x3891,f3(x3892),x3892)+P2(x3891,f10(x3891,x3892),x3892)
% 0.78/0.85 [390]~P16(x3902)+~P2(x3901,f3(x3902),x3902)+P2(x3901,f10(x3901,x3902),x3902)
% 0.78/0.85 [391]~P37(x3912)+~P3(x3911,f3(x3912),x3912)+P3(x3911,f10(x3911,x3912),x3912)
% 0.78/0.85 [392]~P5(x3922)+~P2(f3(x3922),x3921,x3922)+P2(f10(x3921,x3922),x3921,x3922)
% 0.78/0.85 [393]~P16(x3932)+~P2(f3(x3932),x3931,x3932)+P2(f10(x3931,x3932),x3931,x3932)
% 0.78/0.85 [397]~P20(x3971)+~P2(x3972,f3(x3971),x3971)+P2(f3(x3971),f10(x3972,x3971),x3971)
% 0.78/0.85 [398]~P20(x3981)+~P3(x3982,f3(x3981),x3981)+P3(f3(x3981),f10(x3982,x3981),x3981)
% 0.78/0.85 [399]~P20(x3992)+~P2(f3(x3992),x3991,x3992)+P2(f10(x3991,x3992),f3(x3992),x3992)
% 0.78/0.85 [400]~P20(x4002)+~P3(f3(x4002),x4001,x4002)+P3(f10(x4001,x4002),f3(x4002),x4002)
% 0.78/0.85 [401]~P5(x4012)+~P2(x4011,f10(x4011,x4012),x4012)+P2(x4011,f3(x4012),x4012)
% 0.78/0.85 [402]~P16(x4022)+~P2(x4021,f10(x4021,x4022),x4022)+P2(x4021,f3(x4022),x4022)
% 0.78/0.85 [403]~P37(x4032)+~P3(x4031,f10(x4031,x4032),x4032)+P3(x4031,f3(x4032),x4032)
% 0.78/0.85 [404]~P5(x4041)+~P2(f10(x4042,x4041),x4042,x4041)+P2(f3(x4041),x4042,x4041)
% 0.78/0.85 [405]~P16(x4051)+~P2(f10(x4052,x4051),x4052,x4051)+P2(f3(x4051),x4052,x4051)
% 0.78/0.85 [413]~P38(x4132)+~P3(f3(x4132),f12(x4131,x4132),x4132)+P3(f3(a1),x4131,a1)
% 0.78/0.85 [415]~P20(x4152)+~P2(f3(x4152),f10(x4151,x4152),x4152)+P2(x4151,f3(x4152),x4152)
% 0.78/0.85 [416]~P20(x4162)+~P3(f3(x4162),f10(x4161,x4162),x4162)+P3(x4161,f3(x4162),x4162)
% 0.78/0.85 [417]~P20(x4171)+~P2(f10(x4172,x4171),f3(x4171),x4171)+P2(f3(x4171),x4172,x4171)
% 0.78/0.85 [418]~P20(x4181)+~P3(f10(x4182,x4181),f3(x4181),x4181)+P3(f3(x4181),x4182,x4181)
% 0.78/0.85 [467]~P16(x4671)+~P2(f3(x4671),x4672,x4671)+P2(f3(x4671),f9(x4672,x4672,x4671),x4671)
% 0.78/0.85 [468]~P16(x4681)+~P3(f3(x4681),x4682,x4681)+P3(f3(x4681),f9(x4682,x4682,x4681),x4681)
% 0.78/0.85 [469]~P16(x4692)+~P2(x4691,f3(x4692),x4692)+P2(f9(x4691,x4691,x4692),f3(x4692),x4692)
% 0.78/0.85 [470]~P37(x4702)+~P3(x4701,f3(x4702),x4702)+P3(f9(x4701,x4701,x4702),f3(x4702),x4702)
% 0.78/0.85 [471]~P16(x4712)+~P3(x4711,f3(x4712),x4712)+P3(f9(x4711,x4711,x4712),f3(x4712),x4712)
% 0.78/0.85 [478]~P2(x4781,x4782,a2)+~P2(f10(x4782,a2),x4781,a2)+P2(f5(x4781,a2),x4782,a2)
% 0.78/0.85 [508]~P16(x5082)+~P2(f9(x5081,x5081,x5082),f3(x5082),x5082)+P2(x5081,f3(x5082),x5082)
% 0.78/0.85 [509]~P37(x5092)+~P3(f9(x5091,x5091,x5092),f3(x5092),x5092)+P3(x5091,f3(x5092),x5092)
% 0.78/0.85 [510]~P16(x5102)+~P3(f9(x5101,x5101,x5102),f3(x5102),x5102)+P3(x5101,f3(x5102),x5102)
% 0.78/0.85 [511]~P16(x5111)+~P2(f3(x5111),f9(x5112,x5112,x5111),x5111)+P2(f3(x5111),x5112,x5111)
% 0.78/0.85 [512]~P16(x5121)+~P3(f3(x5121),f9(x5122,x5122,x5121),x5121)+P3(f3(x5121),x5122,x5121)
% 0.78/0.85 [513]~P2(x5132,f3(a2),a2)+~P2(x5131,f3(a2),a2)+P2(f3(a2),f8(x5131,x5132,a2),a2)
% 0.78/0.85 [514]~P2(x5142,f3(a2),a2)+~P2(f3(a2),x5142,a2)+P2(f3(a2),f8(x5141,x5142,a2),a2)
% 0.78/0.85 [515]~P2(x5151,f3(a2),a2)+~P2(f3(a2),x5151,a2)+P2(f3(a2),f8(x5151,x5152,a2),a2)
% 0.78/0.85 [516]~P2(f3(a2),x5162,a2)+~P2(f3(a2),x5161,a2)+P2(f3(a2),f8(x5161,x5162,a2),a2)
% 0.78/0.85 [542]P2(x5421,f3(a2),a2)+P2(f3(a2),x5422,a2)+~P2(f3(a2),f8(x5421,x5422,a2),a2)
% 0.78/0.85 [543]P2(x5431,f3(a2),a2)+P2(f3(a2),x5432,a2)+~P2(f3(a2),f8(x5432,x5431,a2),a2)
% 0.78/0.85 [544]P3(f3(a1),x5441,a1)+P3(f3(a1),x5442,a1)+~P3(f3(a1),f9(x5441,x5442,a1),a1)
% 0.78/0.85 [251]~P35(x2512)+~P8(x2512)+E(f9(x2511,f3(x2512),x2512),x2511)
% 0.78/0.85 [256]~P30(x2562)+~P31(x2562)+E(f8(x2561,f3(x2562),x2562),f3(x2562))
% 0.78/0.85 [282]E(x2821,f3(a1))+E(x2822,f3(a1))+~E(f9(x2822,x2821,a1),f14(f3(a1)))
% 0.78/0.85 [289]E(x2891,f3(a1))+E(x2891,f14(f3(a1)))+~E(f9(x2892,x2891,a1),f14(f3(a1)))
% 0.78/0.85 [290]E(x2901,f3(a1))+E(x2901,f14(f3(a1)))+~E(f9(x2901,x2902,a1),f14(f3(a1)))
% 0.78/0.85 [296]E(x2961,f14(f3(a1)))+E(x2962,f14(f3(a1)))+~E(f9(x2962,x2961,a1),f14(f3(a1)))
% 0.78/0.85 [605]E(f11(x6051),x6052)+~P2(f13(x6052,a1),x6051,a2)+~P3(x6051,f9(f13(x6052,a1),f4(a2),a2),a2)
% 0.78/0.85 [571]~P2(f4(a2),x5711,a2)+~P3(f3(a1),x5712,a1)+E(f11(f8(x5711,f13(x5712,a1),a2)),f6(f11(x5711),x5712,a1))
% 0.78/0.85 [309]P2(x3092,x3091,x3093)+~P26(x3093)+P2(x3091,x3092,x3093)
% 0.78/0.85 [312]P3(x3122,x3121,x3123)+~P26(x3123)+P2(x3121,x3122,x3123)
% 0.78/0.85 [339]~P27(x3393)+~P3(x3391,x3392,x3393)+P2(x3391,x3392,x3393)
% 0.78/0.85 [340]~P28(x3403)+~P3(x3401,x3402,x3403)+P2(x3401,x3402,x3403)
% 0.78/0.85 [371]~P3(x3713,x3712,x3711)+~P26(x3711)+~P2(x3712,x3713,x3711)
% 0.78/0.85 [373]~P3(x3733,x3732,x3731)+~P26(x3731)+~P3(x3732,x3733,x3731)
% 0.78/0.85 [374]~P3(x3743,x3742,x3741)+~P27(x3741)+~P2(x3742,x3743,x3741)
% 0.78/0.85 [376]~P3(x3763,x3762,x3761)+~P27(x3761)+~P3(x3762,x3763,x3761)
% 0.78/0.85 [377]~P3(x3773,x3772,x3771)+~P28(x3771)+~P3(x3772,x3773,x3771)
% 0.78/0.85 [434]~P2(x4341,x4343,a2)+P2(x4341,x4342,a2)+~P2(x4343,x4342,a2)
% 0.78/0.85 [217]~P6(x2173)+E(x2171,x2172)+~E(f10(x2171,x2173),f10(x2172,x2173))
% 0.78/0.85 [218]~P11(x2183)+E(x2181,x2182)+~E(f10(x2181,x2183),f10(x2182,x2183))
% 0.78/0.85 [219]~P10(x2193)+E(x2191,x2192)+~E(f12(x2191,x2193),f12(x2192,x2193))
% 0.78/0.85 [304]~P6(x3043)+~E(f9(x3041,x3042,x3043),f3(x3043))+E(x3041,f10(x3042,x3043))
% 0.78/0.85 [305]~P6(x3052)+~E(f9(x3051,x3053,x3052),f3(x3052))+E(f10(x3051,x3052),x3053)
% 0.78/0.85 [395]~P19(x3953)+P2(x3951,x3952,x3953)+~P2(f5(x3951,x3953),x3952,x3953)
% 0.78/0.85 [396]~P37(x3963)+P3(x3961,x3962,x3963)+~P3(f5(x3961,x3963),x3962,x3963)
% 0.78/0.85 [409]~P38(x4092)+~P3(x4091,x4093,a1)+P3(f12(x4091,x4092),f12(x4093,x4092),x4092)
% 0.78/0.85 [411]~P20(x4112)+~P2(x4113,x4111,x4112)+P2(f10(x4111,x4112),f10(x4113,x4112),x4112)
% 0.78/0.85 [412]~P20(x4122)+~P3(x4123,x4121,x4122)+P3(f10(x4121,x4122),f10(x4123,x4122),x4122)
% 0.78/0.85 [424]~P20(x4243)+~P2(x4242,f10(x4241,x4243),x4243)+P2(x4241,f10(x4242,x4243),x4243)
% 0.78/0.85 [426]~P20(x4263)+~P3(x4262,f10(x4261,x4263),x4263)+P3(x4261,f10(x4262,x4263),x4263)
% 0.78/0.85 [427]~P19(x4272)+~P2(f5(x4271,x4272),x4273,x4272)+P2(f10(x4271,x4272),x4273,x4272)
% 0.78/0.85 [429]~P20(x4292)+~P2(f10(x4293,x4292),x4291,x4292)+P2(f10(x4291,x4292),x4293,x4292)
% 0.78/0.85 [431]~P20(x4312)+~P3(f10(x4313,x4312),x4311,x4312)+P3(f10(x4311,x4312),x4313,x4312)
% 0.78/0.85 [432]~P37(x4322)+~P3(f5(x4321,x4322),x4323,x4322)+P3(f10(x4321,x4322),x4323,x4322)
% 0.78/0.85 [439]~P3(x4391,x4393,a1)+~P3(x4393,x4392,a1)+P3(f14(x4391),x4392,a1)
% 0.78/0.85 [441]~P38(x4413)+~P3(f12(x4411,x4413),f12(x4412,x4413),x4413)+P3(x4411,x4412,a1)
% 0.78/0.85 [442]~P20(x4423)+P2(x4421,x4422,x4423)+~P2(f10(x4422,x4423),f10(x4421,x4423),x4423)
% 0.78/0.85 [443]~P20(x4433)+P3(x4431,x4432,x4433)+~P3(f10(x4432,x4433),f10(x4431,x4433),x4433)
% 0.78/0.85 [491]~P16(x4913)+~P2(x4911,f10(x4912,x4913),x4913)+P2(f9(x4911,x4912,x4913),f3(x4913),x4913)
% 0.78/0.85 [525]~P16(x5253)+~P2(f9(x5251,x5252,x5253),f3(x5253),x5253)+P2(x5251,f10(x5252,x5253),x5253)
% 0.78/0.85 [366]~P30(x3662)+E(x3661,f3(x3662))+E(f8(f10(x3663,x3662),f10(x3661,x3662),x3662),f8(x3663,x3661,x3662))
% 0.78/0.85 [367]~P30(x3672)+~P31(x3672)+E(f8(f10(x3671,x3672),f10(x3673,x3672),x3672),f8(x3671,x3673,x3672))
% 0.78/0.85 [422]~P30(x4222)+E(x4221,f3(x4222))+E(f8(x4223,f10(x4221,x4222),x4222),f10(f8(x4223,x4221,x4222),x4222))
% 0.78/0.85 [433]~P30(x4333)+~P31(x4333)+E(f8(x4331,f10(x4332,x4333),x4333),f10(f8(x4331,x4332,x4333),x4333))
% 0.78/0.85 [456]~P21(x4562)+E(x4561,f3(x4562))+E(f8(f15(x4563,x4562),f15(x4561,x4562),a2),f15(f8(x4563,x4561,x4562),x4562))
% 0.78/0.85 [457]~P34(x4572)+E(x4571,f3(x4572))+E(f8(f5(x4573,x4572),f5(x4571,x4572),x4572),f5(f8(x4573,x4571,x4572),x4572))
% 0.78/0.85 [458]~P31(x4582)+~P21(x4582)+E(f8(f15(x4581,x4582),f15(x4583,x4582),a2),f15(f8(x4581,x4583,x4582),x4582))
% 0.78/0.85 [463]~P31(x4632)+~P34(x4632)+E(f8(f5(x4631,x4632),f5(x4633,x4632),x4632),f5(f8(x4631,x4633,x4632),x4632))
% 0.78/0.85 [519]~P1(x5192)+E(x5191,f3(x5192))+E(f6(f9(x5193,x5191,x5192),x5191,x5192),f9(f6(x5193,x5191,x5192),f4(x5192),x5192))
% 0.78/0.85 [520]~P1(x5202)+E(x5201,f3(x5202))+E(f6(f9(x5201,x5203,x5202),x5201,x5202),f9(f6(x5203,x5201,x5202),f4(x5202),x5202))
% 0.78/0.85 [629]~P34(x6293)+~P3(x6291,x6292,x6293)+P3(x6291,f8(f9(x6291,x6292,x6293),f9(f4(x6293),f4(x6293),x6293),x6293),x6293)
% 0.78/0.85 [630]~P34(x6303)+~P3(x6301,x6302,x6303)+P3(f8(f9(x6301,x6302,x6303),f9(f4(x6303),f4(x6303),x6303),x6303),x6302,x6303)
% 0.78/0.85 [378]~P12(x3784)+E(x3781,x3782)+~E(f9(x3783,x3781,x3784),f9(x3783,x3782,x3784))
% 0.78/0.85 [379]~P13(x3794)+E(x3791,x3792)+~E(f9(x3793,x3791,x3794),f9(x3793,x3792,x3794))
% 0.78/0.85 [380]~P12(x3804)+E(x3801,x3802)+~E(f9(x3801,x3803,x3804),f9(x3802,x3803,x3804))
% 0.78/0.85 [492]~P3(x4924,x4923,a1)+P3(x4921,x4922,a1)+~E(f9(x4921,x4923,a1),f9(x4924,x4922,a1))
% 0.78/0.85 [534]~P23(x5343)+~P2(x5341,x5344,x5343)+P2(f9(x5341,x5342,x5343),f9(x5344,x5342,x5343),x5343)
% 0.78/0.85 [535]~P24(x5353)+~P2(x5351,x5354,x5353)+P2(f9(x5351,x5352,x5353),f9(x5354,x5352,x5353),x5353)
% 0.78/0.85 [536]~P23(x5363)+~P2(x5362,x5364,x5363)+P2(f9(x5361,x5362,x5363),f9(x5361,x5364,x5363),x5363)
% 0.78/0.85 [537]~P24(x5373)+~P2(x5372,x5374,x5373)+P2(f9(x5371,x5372,x5373),f9(x5371,x5374,x5373),x5373)
% 0.78/0.85 [538]~P22(x5383)+~P3(x5381,x5384,x5383)+P3(f9(x5381,x5382,x5383),f9(x5384,x5382,x5383),x5383)
% 0.78/0.85 [539]~P23(x5393)+~P3(x5391,x5394,x5393)+P3(f9(x5391,x5392,x5393),f9(x5394,x5392,x5393),x5393)
% 0.78/0.85 [540]~P22(x5403)+~P3(x5402,x5404,x5403)+P3(f9(x5401,x5402,x5403),f9(x5401,x5404,x5403),x5403)
% 0.78/0.85 [541]~P23(x5413)+~P3(x5412,x5414,x5413)+P3(f9(x5411,x5412,x5413),f9(x5411,x5414,x5413),x5413)
% 0.78/0.85 [594]~P3(x5942,x5944,a1)+~P3(x5941,x5943,a1)+P3(f9(x5941,x5942,a1),f9(x5943,x5944,a1),a1)
% 0.78/0.85 [612]~P23(x6123)+P2(x6121,x6122,x6123)+~P2(f9(x6124,x6121,x6123),f9(x6124,x6122,x6123),x6123)
% 0.78/0.85 [613]~P23(x6133)+P2(x6131,x6132,x6133)+~P2(f9(x6131,x6134,x6133),f9(x6132,x6134,x6133),x6133)
% 0.78/0.85 [614]~P23(x6143)+P3(x6141,x6142,x6143)+~P3(f9(x6144,x6141,x6143),f9(x6144,x6142,x6143),x6143)
% 0.78/0.85 [615]~P23(x6153)+P3(x6151,x6152,x6153)+~P3(f9(x6151,x6154,x6153),f9(x6152,x6154,x6153),x6153)
% 0.78/0.85 [473]~P9(x4733)+E(x4731,f10(x4732,x4733))+~E(f9(x4731,f9(x4734,x4732,x4733),x4733),x4734)
% 0.78/0.85 [518]~P4(x5182)+~E(f7(x5181,x5183,x5182),f7(x5184,x5183,x5182))+E(f7(f10(x5181,x5182),x5183,x5182),f7(f10(x5184,x5182),x5183,x5182))
% 0.78/0.85 [611]~P17(x6114)+~P2(f9(x6111,x6113,x6114),x6112,x6114)+P2(x6111,f9(x6112,f5(x6113,x6114),x6114),x6114)
% 0.78/0.85 [592]~P9(x5923)+E(f9(x5921,x5922,x5923),x5924)+~E(f9(x5921,f9(x5925,x5922,x5923),x5923),f9(x5925,x5924,x5923))
% 0.78/0.85 [263]~P26(x2632)+~P17(x2632)+P3(x2631,f3(x2632),x2632)+E(f5(x2631,x2632),x2631)
% 0.78/0.85 [329]~P26(x3292)+~P17(x3292)+~P3(x3291,f3(x3292),x3292)+E(f10(x3291,x3292),f5(x3291,x3292))
% 0.78/0.85 [480]~P31(x4801)+~P34(x4801)+~P2(f3(x4801),x4802,x4801)+P2(f3(x4801),f8(f4(x4801),x4802,x4801),x4801)
% 0.78/0.85 [481]~P31(x4811)+~P34(x4811)+~P3(f3(x4811),x4812,x4811)+P3(f3(x4811),f8(f4(x4811),x4812,x4811),x4811)
% 0.78/0.85 [482]~P31(x4821)+~P34(x4821)+~P2(x4822,f3(x4821),x4821)+P2(f8(f4(x4821),x4822,x4821),f3(x4821),x4821)
% 0.78/0.85 [483]~P31(x4831)+~P34(x4831)+~P3(x4832,f3(x4831),x4831)+P3(f8(f4(x4831),x4832,x4831),f3(x4831),x4831)
% 0.78/0.85 [526]~P31(x5262)+~P34(x5262)+P2(x5261,f3(x5262),x5262)+~P2(f8(f4(x5262),x5261,x5262),f3(x5262),x5262)
% 0.78/0.85 [527]~P31(x5272)+~P34(x5272)+P3(x5271,f3(x5272),x5272)+~P3(f8(f4(x5272),x5271,x5272),f3(x5272),x5272)
% 0.78/0.85 [528]~P31(x5281)+~P34(x5281)+P2(f3(x5281),x5282,x5281)+~P2(f3(x5281),f8(f4(x5281),x5282,x5281),x5281)
% 0.78/0.85 [529]~P31(x5291)+~P34(x5291)+P3(f3(x5291),x5292,x5291)+~P3(f3(x5291),f8(f4(x5291),x5292,x5291),x5291)
% 0.78/0.85 [316]P3(x3161,x3162,x3163)+~P37(x3163)+E(x3161,x3162)+P3(x3162,x3161,x3163)
% 0.78/0.85 [320]P3(x3201,x3202,x3203)+~P26(x3203)+E(x3201,x3202)+P3(x3202,x3201,x3203)
% 0.78/0.85 [349]~P26(x3493)+~P2(x3491,x3492,x3493)+E(x3491,x3492)+P3(x3491,x3492,x3493)
% 0.78/0.85 [355]~P28(x3553)+~P2(x3551,x3552,x3553)+E(x3551,x3552)+P3(x3551,x3552,x3553)
% 0.78/0.85 [385]~P2(x3852,x3851,x3853)+~P2(x3851,x3852,x3853)+E(x3851,x3852)+~P28(x3853)
% 0.78/0.85 [414]P3(x4142,x4141,x4143)+~P27(x4143)+~P2(x4142,x4141,x4143)+P2(x4141,x4142,x4143)
% 0.78/0.85 [291]~P30(x2913)+E(x2911,x2912)+~E(f8(x2911,x2912,x2913),f4(x2913))+E(x2912,f3(x2913))
% 0.78/0.85 [292]~P35(x2922)+~P8(x2922)+~E(f9(x2923,x2921,x2922),x2923)+E(x2921,f3(x2922))
% 0.78/0.85 [488]~P19(x4882)+~P2(x4881,x4883,x4882)+~P2(f10(x4881,x4882),x4883,x4882)+P2(f5(x4881,x4882),x4883,x4882)
% 0.78/0.85 [489]~P37(x4892)+~P3(x4891,x4893,x4892)+~P3(f10(x4891,x4892),x4893,x4892)+P3(f5(x4891,x4892),x4893,x4892)
% 0.78/0.85 [545]~P34(x5451)+~P2(x5452,f3(x5451),x5451)+~P3(x5453,f3(x5451),x5451)+P2(f3(x5451),f8(x5452,x5453,x5451),x5451)
% 0.78/0.85 [546]~P34(x5461)+~P3(x5463,f3(x5461),x5461)+~P3(x5462,f3(x5461),x5461)+P3(f3(x5461),f8(x5462,x5463,x5461),x5461)
% 0.78/0.85 [547]~P25(x5471)+~P2(f3(x5471),x5473,x5471)+~P2(f3(x5471),x5472,x5471)+P2(f3(x5471),f9(x5472,x5473,x5471),x5471)
% 0.78/0.85 [548]~P34(x5481)+~P2(f3(x5481),x5482,x5481)+~P3(f3(x5481),x5483,x5481)+P2(f3(x5481),f8(x5482,x5483,x5481),x5481)
% 0.78/0.85 [549]~P25(x5491)+~P2(f3(x5491),x5493,x5491)+~P3(f3(x5491),x5492,x5491)+P3(f3(x5491),f9(x5492,x5493,x5491),x5491)
% 0.78/0.85 [550]~P25(x5501)+~P2(f3(x5501),x5502,x5501)+~P3(f3(x5501),x5503,x5501)+P3(f3(x5501),f9(x5502,x5503,x5501),x5501)
% 0.78/0.85 [551]~P25(x5511)+~P3(f3(x5511),x5513,x5511)+~P3(f3(x5511),x5512,x5511)+P3(f3(x5511),f9(x5512,x5513,x5511),x5511)
% 0.78/0.85 [552]~P34(x5521)+~P3(f3(x5521),x5523,x5521)+~P3(f3(x5521),x5522,x5521)+P3(f3(x5521),f8(x5522,x5523,x5521),x5521)
% 0.78/0.85 [553]~P25(x5533)+~P2(x5532,f3(x5533),x5533)+~P2(x5531,f3(x5533),x5533)+P2(f9(x5531,x5532,x5533),f3(x5533),x5533)
% 0.78/0.85 [554]~P25(x5543)+~P2(x5542,f3(x5543),x5543)+~P3(x5541,f3(x5543),x5543)+P3(f9(x5541,x5542,x5543),f3(x5543),x5543)
% 0.78/0.85 [555]~P25(x5553)+~P2(x5551,f3(x5553),x5553)+~P3(x5552,f3(x5553),x5553)+P3(f9(x5551,x5552,x5553),f3(x5553),x5553)
% 0.78/0.85 [556]~P25(x5563)+~P3(x5562,f3(x5563),x5563)+~P3(x5561,f3(x5563),x5563)+P3(f9(x5561,x5562,x5563),f3(x5563),x5563)
% 0.78/0.85 [557]~P34(x5573)+~P2(x5571,f3(x5573),x5573)+~P3(f3(x5573),x5572,x5573)+P2(f8(x5571,x5572,x5573),f3(x5573),x5573)
% 0.78/0.85 [558]~P34(x5583)+~P3(x5582,f3(x5583),x5583)+~P2(f3(x5583),x5581,x5583)+P2(f8(x5581,x5582,x5583),f3(x5583),x5583)
% 0.78/0.85 [559]~P34(x5593)+~P3(x5592,f3(x5593),x5593)+~P3(f3(x5593),x5591,x5593)+P3(f8(x5591,x5592,x5593),f3(x5593),x5593)
% 0.78/0.85 [560]~P34(x5603)+~P3(x5601,f3(x5603),x5603)+~P3(f3(x5603),x5602,x5603)+P3(f8(x5601,x5602,x5603),f3(x5603),x5603)
% 0.78/0.85 [493]~P31(x4932)+~P34(x4932)+~P3(f3(x4932),x4933,x4932)+E(f8(f5(x4931,x4932),x4933,x4932),f5(f8(x4931,x4933,x4932),x4932))
% 0.78/0.85 [448]~P27(x4483)+~P2(x4481,x4484,x4483)+P2(x4481,x4482,x4483)+~P2(x4484,x4482,x4483)
% 0.78/0.85 [449]~P28(x4493)+~P2(x4491,x4494,x4493)+P2(x4491,x4492,x4493)+~P2(x4494,x4492,x4493)
% 0.78/0.85 [450]~P27(x4503)+~P3(x4501,x4504,x4503)+P3(x4501,x4502,x4503)+~P2(x4504,x4502,x4503)
% 0.78/0.85 [451]~P27(x4513)+~P3(x4514,x4512,x4513)+P3(x4511,x4512,x4513)+~P2(x4511,x4514,x4513)
% 0.78/0.85 [452]~P27(x4523)+~P3(x4521,x4524,x4523)+P3(x4521,x4522,x4523)+~P3(x4524,x4522,x4523)
% 0.78/0.85 [453]~P28(x4533)+~P3(x4531,x4534,x4533)+P3(x4531,x4532,x4533)+~P2(x4534,x4532,x4533)
% 0.78/0.85 [454]~P28(x4543)+~P3(x4544,x4542,x4543)+P3(x4541,x4542,x4543)+~P2(x4541,x4544,x4543)
% 0.78/0.85 [455]~P28(x4553)+~P3(x4551,x4554,x4553)+P3(x4551,x4552,x4553)+~P3(x4554,x4552,x4553)
% 0.78/0.85 [394]~P35(x3944)+~P8(x3944)+E(x3941,x3942)+~E(f9(x3943,x3941,x3944),f9(x3943,x3942,x3944))
% 0.78/0.85 [524]~P38(x5244)+~P3(x5241,x5243,x5244)+~P3(f3(x5244),x5242,x5244)+P3(x5241,f9(x5242,x5243,x5244),x5244)
% 0.78/0.85 [606]~P34(x6063)+~P3(x6064,x6061,x6063)+~P3(x6062,f3(x6063),x6063)+P3(f8(x6061,x6062,x6063),f8(x6064,x6062,x6063),x6063)
% 0.78/0.85 [607]~P34(x6073)+~P3(x6071,x6074,x6073)+~P3(f3(x6073),x6072,x6073)+P3(f8(x6071,x6072,x6073),f8(x6074,x6072,x6073),x6073)
% 0.78/0.85 [597]~P24(x5973)+~P2(x5972,x5975,x5973)+~P2(x5971,x5974,x5973)+P2(f9(x5971,x5972,x5973),f9(x5974,x5975,x5973),x5973)
% 0.78/0.85 [598]~P22(x5983)+~P2(x5982,x5985,x5983)+~P3(x5981,x5984,x5983)+P3(f9(x5981,x5982,x5983),f9(x5984,x5985,x5983),x5983)
% 0.78/0.85 [599]~P22(x5993)+~P2(x5991,x5994,x5993)+~P3(x5992,x5995,x5993)+P3(f9(x5991,x5992,x5993),f9(x5994,x5995,x5993),x5993)
% 0.78/0.85 [600]~P22(x6003)+~P3(x6002,x6005,x6003)+~P3(x6001,x6004,x6003)+P3(f9(x6001,x6002,x6003),f9(x6004,x6005,x6003),x6003)
% 0.78/0.85 [617]~P20(x6174)+~P2(x6175,x6173,x6174)+~P2(x6171,f9(x6172,x6175,x6174),x6174)+P2(x6171,f9(x6172,x6173,x6174),x6174)
% 0.78/0.85 [627]~P18(x6273)+~P3(f15(x6272,x6273),x6275,a2)+~P3(f15(x6271,x6273),x6274,a2)+P3(f15(f9(x6271,x6272,x6273),x6273),f9(x6274,x6275,a2),a2)
% 0.78/0.85 [628]~P1(x6283)+~E(f7(x6281,x6284,x6283),f7(x6285,x6284,x6283))+~E(f7(x6282,x6284,x6283),f7(x6286,x6284,x6283))+E(f7(f9(x6281,x6282,x6283),x6284,x6283),f7(f9(x6285,x6286,x6283),x6284,x6283))
% 0.78/0.85 [484]~P25(x4842)+~P2(f3(x4842),x4841,x4842)+~P2(f3(x4842),x4843,x4842)+~E(f9(x4843,x4841,x4842),f3(x4842))+E(x4841,f3(x4842))
% 0.78/0.85 [485]~P25(x4852)+~P2(f3(x4852),x4853,x4852)+~P2(f3(x4852),x4851,x4852)+~E(f9(x4851,x4853,x4852),f3(x4852))+E(x4851,f3(x4852))
% 0.78/0.85 [561]~P31(x5611)+~P34(x5611)+~P2(x5613,f3(x5611),x5611)+~P2(x5612,f3(x5611),x5611)+P2(f3(x5611),f8(x5612,x5613,x5611),x5611)
% 0.78/0.85 [563]~P31(x5631)+~P34(x5631)+~P2(f3(x5631),x5633,x5631)+~P2(f3(x5631),x5632,x5631)+P2(f3(x5631),f8(x5632,x5633,x5631),x5631)
% 0.78/0.85 [565]~P31(x5653)+~P34(x5653)+~P2(x5652,f3(x5653),x5653)+~P2(f3(x5653),x5651,x5653)+P2(f8(x5651,x5652,x5653),f3(x5653),x5653)
% 0.78/0.85 [566]~P31(x5663)+~P34(x5663)+~P2(x5661,f3(x5663),x5663)+~P2(f3(x5663),x5662,x5663)+P2(f8(x5661,x5662,x5663),f3(x5663),x5663)
% 0.78/0.85 [576]~P31(x5762)+~P34(x5762)+~P2(f8(x5763,x5761,x5762),f3(x5762),x5762)+P2(x5761,f3(x5762),x5762)+P2(x5763,f3(x5762),x5762)
% 0.78/0.85 [577]~P31(x5772)+~P34(x5772)+~P3(f8(x5773,x5771,x5772),f3(x5772),x5772)+P3(x5771,f3(x5772),x5772)+P3(x5773,f3(x5772),x5772)
% 0.78/0.85 [578]~P31(x5782)+~P34(x5782)+~P2(f3(x5782),f8(x5783,x5781,x5782),x5782)+P2(x5781,f3(x5782),x5782)+P2(f3(x5782),x5783,x5782)
% 0.78/0.85 [579]~P31(x5792)+~P34(x5792)+~P2(f3(x5792),f8(x5791,x5793,x5792),x5792)+P2(x5791,f3(x5792),x5792)+P2(f3(x5792),x5793,x5792)
% 0.78/0.85 [580]~P31(x5802)+~P34(x5802)+~P2(f3(x5802),f8(x5803,x5801,x5802),x5802)+P2(x5801,f3(x5802),x5802)+P2(f3(x5802),x5801,x5802)
% 0.78/0.85 [581]~P31(x5812)+~P34(x5812)+~P2(f3(x5812),f8(x5811,x5813,x5812),x5812)+P2(x5811,f3(x5812),x5812)+P2(f3(x5812),x5811,x5812)
% 0.78/0.85 [582]~P31(x5822)+~P34(x5822)+~P3(f3(x5822),f8(x5823,x5821,x5822),x5822)+P3(x5821,f3(x5822),x5822)+P3(f3(x5822),x5823,x5822)
% 0.78/0.85 [583]~P31(x5832)+~P34(x5832)+~P3(f3(x5832),f8(x5831,x5833,x5832),x5832)+P3(x5831,f3(x5832),x5832)+P3(f3(x5832),x5833,x5832)
% 0.78/0.85 [584]~P31(x5842)+~P34(x5842)+~P3(f3(x5842),f8(x5843,x5841,x5842),x5842)+P3(x5841,f3(x5842),x5842)+P3(f3(x5842),x5841,x5842)
% 0.78/0.85 [585]~P31(x5852)+~P34(x5852)+~P3(f3(x5852),f8(x5851,x5853,x5852),x5852)+P3(x5851,f3(x5852),x5852)+P3(f3(x5852),x5851,x5852)
% 0.78/0.85 [586]~P31(x5862)+~P34(x5862)+~P2(f8(x5863,x5861,x5862),f3(x5862),x5862)+P2(x5861,f3(x5862),x5862)+P2(f3(x5862),x5861,x5862)
% 0.78/0.85 [587]~P31(x5872)+~P34(x5872)+~P2(f8(x5871,x5873,x5872),f3(x5872),x5872)+P2(x5871,f3(x5872),x5872)+P2(f3(x5872),x5871,x5872)
% 0.78/0.85 [588]~P31(x5882)+~P34(x5882)+~P3(f8(x5883,x5881,x5882),f3(x5882),x5882)+P3(x5881,f3(x5882),x5882)+P3(f3(x5882),x5881,x5882)
% 0.78/0.85 [589]~P31(x5892)+~P34(x5892)+~P3(f8(x5891,x5893,x5892),f3(x5892),x5892)+P3(x5891,f3(x5892),x5892)+P3(f3(x5892),x5891,x5892)
% 0.78/0.85 [590]~P31(x5901)+~P34(x5901)+~P2(f8(x5902,x5903,x5901),f3(x5901),x5901)+P2(f3(x5901),x5902,x5901)+P2(f3(x5901),x5903,x5901)
% 0.78/0.85 [591]~P31(x5911)+~P34(x5911)+~P3(f8(x5912,x5913,x5911),f3(x5911),x5911)+P3(f3(x5911),x5912,x5911)+P3(f3(x5911),x5913,x5911)
% 0.78/0.85 [530]~P7(x5304)+~P23(x5304)+~P2(x5301,x5303,x5304)+~P2(f3(x5304),x5302,x5304)+P2(x5301,f9(x5302,x5303,x5304),x5304)
% 0.78/0.85 [531]~P7(x5314)+~P23(x5314)+~P2(x5311,x5312,x5314)+~P2(f3(x5314),x5313,x5314)+P2(x5311,f9(x5312,x5313,x5314),x5314)
% 0.78/0.85 [532]~P7(x5324)+~P23(x5324)+~P2(x5321,x5323,x5324)+~P3(f3(x5324),x5322,x5324)+P3(x5321,f9(x5322,x5323,x5324),x5324)
% 0.78/0.85 [533]~P7(x5334)+~P23(x5334)+~P3(x5331,x5333,x5334)+~P2(f3(x5334),x5332,x5334)+P3(x5331,f9(x5332,x5333,x5334),x5334)
% 0.78/0.85 [609]~P31(x6093)+~P34(x6093)+~P2(x6094,x6091,x6093)+~P2(x6092,f3(x6093),x6093)+P2(f8(x6091,x6092,x6093),f8(x6094,x6092,x6093),x6093)
% 0.78/0.85 [610]~P31(x6103)+~P34(x6103)+~P2(x6101,x6104,x6103)+~P2(f3(x6103),x6102,x6103)+P2(f8(x6101,x6102,x6103),f8(x6104,x6102,x6103),x6103)
% 0.78/0.85 [572]~P31(x5722)+~P34(x5722)+P3(x5721,f3(x5722),x5722)+P3(f3(x5722),x5721,x5722)+~P2(x5723,f3(x5722),x5722)+P2(x5723,f8(x5724,x5721,x5722),x5722)
% 0.78/0.85 [573]~P31(x5732)+~P34(x5732)+P3(x5731,f3(x5732),x5732)+P3(f3(x5732),x5731,x5732)+~P3(x5733,f3(x5732),x5732)+P3(x5733,f8(x5734,x5731,x5732),x5732)
% 0.78/0.85 [574]~P31(x5742)+~P34(x5742)+P3(x5741,f3(x5742),x5742)+P3(f3(x5742),x5741,x5742)+~P2(f3(x5742),x5744,x5742)+P2(f8(x5743,x5741,x5742),x5744,x5742)
% 0.78/0.85 [575]~P31(x5752)+~P34(x5752)+P3(x5751,f3(x5752),x5752)+P3(f3(x5752),x5751,x5752)+~P3(f3(x5752),x5754,x5752)+P3(f8(x5753,x5751,x5752),x5754,x5752)
% 0.78/0.85 [601]~P31(x6012)+~P34(x6012)+P2(x6011,f3(x6012),x6012)+P3(f3(x6012),x6013,x6012)+~P2(x6011,f8(x6014,x6013,x6012),x6012)+P3(x6013,f3(x6012),x6012)
% 0.78/0.85 [602]~P31(x6022)+~P34(x6022)+P3(x6021,f3(x6022),x6022)+P3(f3(x6022),x6021,x6022)+~P3(x6023,f8(x6024,x6021,x6022),x6022)+P3(x6023,f3(x6022),x6022)
% 0.78/0.85 [603]~P31(x6032)+~P34(x6032)+P3(x6031,f3(x6032),x6032)+P3(f3(x6032),x6031,x6032)+~P2(f8(x6034,x6031,x6032),x6033,x6032)+P2(f3(x6032),x6033,x6032)
% 0.78/0.85 [604]~P31(x6042)+~P34(x6042)+P3(x6041,f3(x6042),x6042)+P3(f3(x6042),x6041,x6042)+~P3(f8(x6044,x6041,x6042),x6043,x6042)+P3(f3(x6042),x6043,x6042)
% 0.78/0.85 [624]~P34(x6243)+~P2(x6245,x6242,x6243)+~P2(x6241,x6244,x6243)+~P2(f3(x6243),x6241,x6243)+~P3(f3(x6243),x6245,x6243)+P2(f8(x6241,x6242,x6243),f8(x6244,x6245,x6243),x6243)
% 0.78/0.85 [625]~P34(x6253)+~P2(x6255,x6252,x6253)+~P3(x6251,x6254,x6253)+~P2(f3(x6253),x6251,x6253)+~P3(f3(x6253),x6255,x6253)+P3(f8(x6251,x6252,x6253),f8(x6254,x6255,x6253),x6253)
% 0.78/0.85 [626]~P34(x6263)+~P2(x6261,x6264,x6263)+~P3(x6265,x6262,x6263)+~P3(f3(x6263),x6265,x6263)+~P3(f3(x6263),x6261,x6263)+P3(f8(x6261,x6262,x6263),f8(x6264,x6265,x6263),x6263)
% 0.78/0.85 %EqnAxiom
% 0.78/0.85 [1]E(x11,x11)
% 0.78/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.78/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.78/0.85 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.78/0.85 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 0.78/0.85 [6]~E(x61,x62)+E(f8(x61,x63,x64),f8(x62,x63,x64))
% 0.78/0.85 [7]~E(x71,x72)+E(f8(x73,x71,x74),f8(x73,x72,x74))
% 0.78/0.85 [8]~E(x81,x82)+E(f8(x83,x84,x81),f8(x83,x84,x82))
% 0.78/0.85 [9]~E(x91,x92)+E(f13(x91,x93),f13(x92,x93))
% 0.78/0.85 [10]~E(x101,x102)+E(f13(x103,x101),f13(x103,x102))
% 0.78/0.85 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 0.78/0.85 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 0.78/0.85 [13]~E(x131,x132)+E(f7(x131,x133,x134),f7(x132,x133,x134))
% 0.78/0.85 [14]~E(x141,x142)+E(f7(x143,x141,x144),f7(x143,x142,x144))
% 0.78/0.85 [15]~E(x151,x152)+E(f7(x153,x154,x151),f7(x153,x154,x152))
% 0.78/0.85 [16]~E(x161,x162)+E(f9(x161,x163,x164),f9(x162,x163,x164))
% 0.78/0.85 [17]~E(x171,x172)+E(f9(x173,x171,x174),f9(x173,x172,x174))
% 0.78/0.85 [18]~E(x181,x182)+E(f9(x183,x184,x181),f9(x183,x184,x182))
% 0.78/0.85 [19]~E(x191,x192)+E(f14(x191),f14(x192))
% 0.78/0.85 [20]~E(x201,x202)+E(f10(x201,x203),f10(x202,x203))
% 0.78/0.85 [21]~E(x211,x212)+E(f10(x213,x211),f10(x213,x212))
% 0.78/0.85 [22]~E(x221,x222)+E(f4(x221),f4(x222))
% 0.78/0.85 [23]~E(x231,x232)+E(f12(x231,x233),f12(x232,x233))
% 0.78/0.85 [24]~E(x241,x242)+E(f12(x243,x241),f12(x243,x242))
% 0.78/0.85 [25]~E(x251,x252)+E(f15(x251,x253),f15(x252,x253))
% 0.78/0.85 [26]~E(x261,x262)+E(f15(x263,x261),f15(x263,x262))
% 0.78/0.85 [27]~E(x271,x272)+E(f6(x271,x273,x274),f6(x272,x273,x274))
% 0.78/0.85 [28]~E(x281,x282)+E(f6(x283,x281,x284),f6(x283,x282,x284))
% 0.78/0.85 [29]~E(x291,x292)+E(f6(x293,x294,x291),f6(x293,x294,x292))
% 0.78/0.85 [30]~E(x301,x302)+E(f18(x301),f18(x302))
% 0.78/0.85 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 0.78/0.85 [32]~P5(x321)+P5(x322)+~E(x321,x322)
% 0.78/0.85 [33]~P6(x331)+P6(x332)+~E(x331,x332)
% 0.78/0.85 [34]~P18(x341)+P18(x342)+~E(x341,x342)
% 0.78/0.85 [35]~P19(x351)+P19(x352)+~E(x351,x352)
% 0.78/0.85 [36]~P20(x361)+P20(x362)+~E(x361,x362)
% 0.78/0.85 [37]~P30(x371)+P30(x372)+~E(x371,x372)
% 0.78/0.85 [38]~P31(x381)+P31(x382)+~E(x381,x382)
% 0.78/0.85 [39]~P21(x391)+P21(x392)+~E(x391,x392)
% 0.78/0.85 [40]~P34(x401)+P34(x402)+~E(x401,x402)
% 0.78/0.85 [41]~P36(x411)+P36(x412)+~E(x411,x412)
% 0.78/0.85 [42]P3(x422,x423,x424)+~E(x421,x422)+~P3(x421,x423,x424)
% 0.78/0.85 [43]P3(x433,x432,x434)+~E(x431,x432)+~P3(x433,x431,x434)
% 0.78/0.85 [44]P3(x443,x444,x442)+~E(x441,x442)+~P3(x443,x444,x441)
% 0.78/0.85 [45]~P37(x451)+P37(x452)+~E(x451,x452)
% 0.78/0.85 [46]~P38(x461)+P38(x462)+~E(x461,x462)
% 0.78/0.85 [47]~P23(x471)+P23(x472)+~E(x471,x472)
% 0.78/0.85 [48]~P32(x481)+P32(x482)+~E(x481,x482)
% 0.78/0.85 [49]P2(x492,x493,x494)+~E(x491,x492)+~P2(x491,x493,x494)
% 0.78/0.85 [50]P2(x503,x502,x504)+~E(x501,x502)+~P2(x503,x501,x504)
% 0.78/0.85 [51]P2(x513,x514,x512)+~E(x511,x512)+~P2(x513,x514,x511)
% 0.78/0.85 [52]~P7(x521)+P7(x522)+~E(x521,x522)
% 0.78/0.85 [53]~P28(x531)+P28(x532)+~E(x531,x532)
% 0.78/0.85 [54]~P35(x541)+P35(x542)+~E(x541,x542)
% 0.78/0.85 [55]~P8(x551)+P8(x552)+~E(x551,x552)
% 0.78/0.85 [56]~P15(x561)+P15(x562)+~E(x561,x562)
% 0.78/0.85 [57]~P26(x571)+P26(x572)+~E(x571,x572)
% 0.78/0.85 [58]~P16(x581)+P16(x582)+~E(x581,x582)
% 0.78/0.85 [59]~P22(x591)+P22(x592)+~E(x591,x592)
% 0.78/0.85 [60]~P25(x601)+P25(x602)+~E(x601,x602)
% 0.78/0.85 [61]~P9(x611)+P9(x612)+~E(x611,x612)
% 0.78/0.85 [62]~P27(x621)+P27(x622)+~E(x621,x622)
% 0.78/0.85 [63]~P14(x631)+P14(x632)+~E(x631,x632)
% 0.78/0.85 [64]~P24(x641)+P24(x642)+~E(x641,x642)
% 0.78/0.85 [65]~P17(x651)+P17(x652)+~E(x651,x652)
% 0.78/0.85 [66]~P12(x661)+P12(x662)+~E(x661,x662)
% 0.78/0.85 [67]~P13(x671)+P13(x672)+~E(x671,x672)
% 0.78/0.85 [68]~P33(x681)+P33(x682)+~E(x681,x682)
% 0.78/0.85 [69]~P4(x691)+P4(x692)+~E(x691,x692)
% 0.78/0.85 [70]~P39(x701)+P39(x702)+~E(x701,x702)
% 0.78/0.85 [71]~P29(x711)+P29(x712)+~E(x711,x712)
% 0.78/0.85 [72]~P10(x721)+P10(x722)+~E(x721,x722)
% 0.78/0.85 [73]~P11(x731)+P11(x732)+~E(x731,x732)
% 0.78/0.85
% 0.78/0.85 %-------------------------------------------
% 0.78/0.85 cnf(642,plain,
% 0.78/0.85 (~P3(f9(x6421,x6422,a1),x6422,a1)),
% 0.78/0.85 inference(rename_variables,[],[189])).
% 0.78/0.85 cnf(645,plain,
% 0.78/0.85 (~P3(f9(x6451,x6452,a1),x6452,a1)),
% 0.78/0.85 inference(rename_variables,[],[189])).
% 0.78/0.85 cnf(651,plain,
% 0.78/0.85 (P3(x6511,f14(x6511),a1)),
% 0.78/0.85 inference(rename_variables,[],[136])).
% 0.78/0.85 cnf(670,plain,
% 0.78/0.85 ($false),
% 0.78/0.85 inference(scs_inference,[],[192,131,183,184,126,173,176,136,651,189,642,645,161,2,327,285,486,462,460,365,338,333,299,464,261,239,523,521]),
% 0.78/0.85 ['proof']).
% 0.78/0.85 % SZS output end Proof
% 0.78/0.85 % Total time :0.030000s
%------------------------------------------------------------------------------