TSTP Solution File: LCL795-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL795-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:50:59 EDT 2023
% Result : Unsatisfiable 0.92s 1.05s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL795-1 : 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
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 06:12:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.83/1.00 %-------------------------------------------
% 0.83/1.00 % File :CSE---1.6
% 0.83/1.00 % Problem :theBenchmark
% 0.83/1.00 % Transform :cnf
% 0.83/1.00 % Format :tptp:raw
% 0.83/1.00 % Command :java -jar mcs_scs.jar %d %s
% 0.83/1.00
% 0.83/1.00 % Result :Theorem 0.090000s
% 0.83/1.00 % Output :CNFRefutation 0.090000s
% 0.83/1.00 %-------------------------------------------
% 0.83/1.00 %------------------------------------------------------------------------------
% 0.83/1.00 % File : LCL795-1 : TPTP v8.1.2. Released v4.1.0.
% 0.83/1.00 % Domain : Logic Calculi
% 0.83/1.00 % Problem : Strong normalization of typed lambda calculus 143_19
% 0.83/1.00 % Version : Especial.
% 0.83/1.00 % English :
% 0.83/1.00
% 0.83/1.00 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.83/1.00 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.83/1.00 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.83/1.00 % Source : [Nip10]
% 0.83/1.00 % Names : StrongNorm-143_19 [Nip10]
% 0.83/1.00
% 0.83/1.00 % Status : Unsatisfiable
% 0.83/1.00 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.50 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.36 v4.1.0
% 0.83/1.00 % Syntax : Number of clauses : 920 ( 207 unt; 98 nHn; 522 RR)
% 0.83/1.00 % Number of literals : 2198 ( 579 equ;1219 neg)
% 0.83/1.00 % Maximal clause size : 6 ( 2 avg)
% 0.83/1.00 % Maximal term depth : 7 ( 1 avg)
% 0.83/1.00 % Number of predicates : 59 ( 58 usr; 0 prp; 1-6 aty)
% 0.83/1.01 % Number of functors : 66 ( 66 usr; 17 con; 0-5 aty)
% 0.83/1.01 % Number of variables : 2876 ( 461 sgn)
% 0.83/1.01 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.83/1.01
% 0.83/1.01 % Comments :
% 0.83/1.01 %------------------------------------------------------------------------------
% 0.83/1.01 cnf(cls_eq__add__iff1_0,axiom,
% 0.83/1.01 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d)
% 0.83/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c) = V_d ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_eq__add__iff2_0,axiom,
% 0.83/1.01 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d)
% 0.83/1.01 | V_c = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_nat__less__add__iff2_1,axiom,
% 0.83/1.01 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat)
% 0.83/1.01 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_nat__less__add__iff2_0,axiom,
% 0.83/1.01 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat)
% 0.83/1.01 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_nat__less__add__iff1_1,axiom,
% 0.83/1.01 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat)
% 0.83/1.01 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_nat__less__add__iff1_0,axiom,
% 0.83/1.01 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat)
% 0.83/1.01 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_eq__add__iff2_1,axiom,
% 0.83/1.01 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_add__Suc_0,axiom,
% 0.83/1.01 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_add__Suc__right_0,axiom,
% 0.83/1.01 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_power__0__Suc_0,axiom,
% 0.83/1.01 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.83/1.01 | ~ class_Power_Opower(T_a)
% 0.83/1.01 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_mult__strict__mono_0,axiom,
% 0.83/1.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.83/1.01 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.83/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_nat_Oinduct_1,axiom,
% 0.83/1.01 ( hBOOL(hAPP(V_P,V_nat))
% 0.83/1.01 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinduct__1(V_P))))
% 0.83/1.01 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_min__max_Oinf__le1_0,axiom,
% 0.83/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.01 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_min__max_Oinf__le2_0,axiom,
% 0.83/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.01 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_min__max_Ole__infI_0,axiom,
% 0.83/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.01 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 0.83/1.01 | ~ c_lessequals(V_x,V_b,T_a)
% 0.83/1.01 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 0.83/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.01 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.83/1.01 | ~ c_lessequals(V_x,V_z,T_a)
% 0.83/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 0.83/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.01 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.83/1.01 | ~ c_lessequals(V_x,V_z,T_a)
% 0.83/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_eq__add__iff1_1,axiom,
% 0.83/1.01 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.83/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c)) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_zero__le__power_0,axiom,
% 0.83/1.01 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.83/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.83/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_diff__is__0__eq_1,axiom,
% 0.83/1.01 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.83/1.01 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_diff__is__0__eq_0,axiom,
% 0.83/1.01 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.83/1.01 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_min__diff__distrib__left_0,axiom,
% 0.83/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.83/1.01 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_max__less__iff__conj_2,axiom,
% 0.83/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.83/1.01 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.83/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.83/1.01
% 0.83/1.01 cnf(cls_same__append__eq_0,axiom,
% 0.83/1.01 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.84/1.01 | V_ys = V_zs ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_append__same__eq_0,axiom,
% 0.84/1.01 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.84/1.01 | V_ys = V_zs ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 0.84/1.01 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(V_j),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),tc_nat)
% 0.84/1.01 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.84/1.01 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.84/1.01 | V_m = V_n ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_add__strict__increasing_0,axiom,
% 0.84/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.84/1.01 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/1.01 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.84/1.01 | ~ c_lessequals(V_b,V_c,T_a)
% 0.84/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_lem0_0,axiom,
% 0.84/1.01 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat)
% 0.84/1.01 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_add__is__1_4,axiom,
% 0.84/1.01 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_of__nat__le__iff_0,axiom,
% 0.84/1.01 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/1.01 | c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.01 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_of__nat__le__iff_1,axiom,
% 0.84/1.01 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/1.01 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.84/1.01 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_subst__preserves__beta_0,axiom,
% 0.84/1.01 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i))
% 0.84/1.01 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_min__less__iff__conj_2,axiom,
% 0.84/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.01 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 0.84/1.01 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.84/1.01 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.84/1.01 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.84/1.01 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat)) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.84/1.01 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.84/1.01 | ~ class_Int_Onumber__ring(T_a)
% 0.84/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a)) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.84/1.01 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.84/1.01 | ~ class_Int_Onumber__ring(T_a)
% 0.84/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_max__Suc__Suc_0,axiom,
% 0.84/1.01 c_Orderings_Oord__class_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(V_m,V_n,tc_nat)) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_less__Suc0_0,axiom,
% 0.84/1.01 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/1.01 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.84/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.84/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.84/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.84/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.84/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.84/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 0.84/1.01 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.01 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_subst__Var_2,axiom,
% 0.84/1.01 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.84/1.01 | V_i = V_k
% 0.84/1.01 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_nat__diff__add__eq2_0,axiom,
% 0.84/1.01 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat)
% 0.84/1.01 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.84/1.01
% 0.84/1.01 cnf(cls_nat__diff__add__eq1_0,axiom,
% 0.84/1.01 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat)
% 0.84/1.01 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_diff__add__cancel_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.84/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat__diff__split__asm_1,axiom,
% 0.84/1.02 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_x),V_b,tc_nat)))
% 0.84/1.02 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat__diff__split_1,axiom,
% 0.84/1.02 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_d),V_b,tc_nat)))
% 0.84/1.02 | hBOOL(hAPP(V_P,V_d)) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_mult__le__cancel2_1,axiom,
% 0.84/1.02 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.84/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_mult__le__cancel1_1,axiom,
% 0.84/1.02 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.84/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_class__semiring_Opwr__pwr_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.02 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_x,V_p,T_a),V_q,T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat_Oinducts_1,axiom,
% 0.84/1.02 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinducts__1(V_P))))
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_power__Suc2_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.84/1.02 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_power__Suc_0,axiom,
% 0.84/1.02 ( ~ class_Power_Opower(T_a)
% 0.84/1.02 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_class__semiring_Opwr__Suc_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.02 | c_Power_Opower__class_Opower(V_x,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.02 | c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_add__le__mono_0,axiom,
% 0.84/1.02 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)
% 0.84/1.02 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.84/1.02 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_add__mono_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.84/1.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.84/1.02 | ~ c_lessequals(V_c,V_d,T_a)
% 0.84/1.02 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_less__Suc__eq__le_1,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.84/1.02 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_less__Suc__eq__le_0,axiom,
% 0.84/1.02 ( c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__less__Suc__eq_1,axiom,
% 0.84/1.02 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 0.84/1.02 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_listsum_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.84/1.02 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.02 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat__mult__commute_0,axiom,
% 0.84/1.02 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.84/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.02 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_diff__less__Suc_0,axiom,
% 0.84/1.02 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.84/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.84/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.84/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_order__less__trans_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Opreorder(T_a)
% 0.84/1.02 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_xt1_I10_J_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Oorder(T_a)
% 0.84/1.02 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_typing__elims_I2_J_1,axiom,
% 0.84/1.02 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 0.84/1.02 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 0.84/1.02 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 0.84/1.02 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 0.84/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_add__cancel__21_1,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.84/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat__add__left__commute_0,axiom,
% 0.84/1.02 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat__add__assoc_0,axiom,
% 0.84/1.02 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_infinite__descent0_2,axiom,
% 0.84/1.02 ( hBOOL(hAPP(V_P,V_n))
% 0.84/1.02 | hBOOL(hAPP(V_P,V_x))
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_x,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P),tc_nat)
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_less__add__Suc1_0,axiom,
% 0.84/1.02 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_less__add__Suc2_0,axiom,
% 0.84/1.02 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.84/1.02 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__diff__conv2_0,axiom,
% 0.84/1.02 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.84/1.02 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.84/1.02 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__diff__conv2_1,axiom,
% 0.84/1.02 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.84/1.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.84/1.02 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.84/1.02 | ~ c_lessequals(V_y,V_z,T_a)
% 0.84/1.02 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_min__max_Osup__least_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 0.84/1.02 | ~ c_lessequals(V_z,V_x,T_a)
% 0.84/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_min__max_Ole__supI_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 0.84/1.02 | ~ c_lessequals(V_b,V_x,T_a)
% 0.84/1.02 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__maxI1_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__maxI2_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_append__Nil2_0,axiom,
% 0.84/1.02 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.84/1.02 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_self__append__conv_1,axiom,
% 0.84/1.02 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_append__Nil_0,axiom,
% 0.84/1.02 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_self__append__conv2_1,axiom,
% 0.84/1.02 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_bot__least_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Obot(T_a)
% 0.84/1.02 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat__rec__Suc_0,axiom,
% 0.84/1.02 c_Nat_Onat_Onat__rec(V_f1,V_f2,c_Suc(V_nat),T_a) = hAPP(hAPP(V_f2,V_nat),c_Nat_Onat_Onat__rec(V_f1,V_f2,V_nat,T_a)) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_gb__semiring_Opwr__pwr_0,axiom,
% 0.84/1.02 ( hAPP(hAPP(V_pwr,hAPP(hAPP(V_pwr,V_x),V_p)),V_q) = hAPP(hAPP(V_pwr,V_x),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat))
% 0.84/1.02 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 0.84/1.02 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.02 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_add__increasing_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.84/1.02 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/1.02 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.84/1.02 | ~ c_lessequals(V_b,V_c,T_a)
% 0.84/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_add__increasing2_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.84/1.02 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/1.02 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.84/1.02 | ~ c_lessequals(V_b,V_a,T_a)
% 0.84/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_upt_Oinduct_1,axiom,
% 0.84/1.02 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xupt__Xinduct__1(V_P))))
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_type_Osimps_I1_J_0,axiom,
% 0.84/1.02 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H)
% 0.84/1.02 | V_nat = V_nat_H ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_replicate_Oinduct_1,axiom,
% 0.84/1.02 ( hBOOL(hAPP(V_P,V_nat))
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xreplicate__Xinduct__1(V_P))))
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_Suc__leI_0,axiom,
% 0.84/1.02 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_Suc__le__eq_0,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.84/1.02 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_less__eq__Suc__le_0,axiom,
% 0.84/1.02 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_less__eq__Suc__le_1,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.84/1.02 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_add__lessD1_0,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_trans__less__add1_0,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_trans__less__add2_0,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__add__iff2_1,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.84/1.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a)
% 0.84/1.02 | ~ c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__add__iff2_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.84/1.02 | c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d),T_a)
% 0.84/1.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__add__iff1_1,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.84/1.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a)
% 0.84/1.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c),V_d,T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_le__add__iff1_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.84/1.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c),V_d,T_a)
% 0.84/1.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_Suc__diff__le_0,axiom,
% 0.84/1.02 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))
% 0.84/1.02 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat__add__commute_0,axiom,
% 0.84/1.02 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_less__add__eq__less_0,axiom,
% 0.84/1.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.84/1.02 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.84/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.84/1.02 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/1.02 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.84/1.02 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/1.02 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_foldl__assoc_0,axiom,
% 0.84/1.02 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.84/1.02 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_diff__less__mono2_0,axiom,
% 0.84/1.02 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.84/1.02 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_nat__induct_1,axiom,
% 0.84/1.02 ( hBOOL(hAPP(V_P,V_n))
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(V_P))))
% 0.84/1.02 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/1.02
% 0.84/1.02 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.84/1.02 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.84/1.02 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.84/1.02 | V_m = V_n ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_power__commutes_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.84/1.03 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_le__max__iff__disj_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(V_z,V_y,T_a)
% 0.84/1.03 | c_lessequals(V_z,V_x,T_a)
% 0.84/1.03 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_class__semiring_Omul__pwr_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.03 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_p,T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_drop__Nil_0,axiom,
% 0.84/1.03 c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_ex__least__nat__le_0,axiom,
% 0.84/1.03 ( c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n),V_n,tc_nat)
% 0.84/1.03 | ~ hBOOL(hAPP(V_P,V_n))
% 0.84/1.03 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_gb__semiring_Omul__pwr_0,axiom,
% 0.84/1.03 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_p)),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q))
% 0.84/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__eq__add__iff1_1,axiom,
% 0.84/1.03 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m)) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_Var__IT_0,axiom,
% 0.84/1.03 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(V_x,V_z,T_a)
% 0.84/1.03 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(V_x,V_y,T_a)
% 0.84/1.03 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__le__iff__disj_2,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.84/1.03 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__le__iff__disj_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.84/1.03 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Ole__infI2_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.84/1.03 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Ole__infI1_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.84/1.03 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Ole__infE_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(V_x,V_b,T_a)
% 0.84/1.03 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Ole__infE_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(V_x,V_a,T_a)
% 0.84/1.03 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.84/1.03 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.84/1.03 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_Suc__inject_0,axiom,
% 0.84/1.03 ( c_Suc(V_x) != c_Suc(V_y)
% 0.84/1.03 | V_x = V_y ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat_Oinject_0,axiom,
% 0.84/1.03 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.84/1.03 | V_nat = V_nat_H ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.84/1.03 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.84/1.03 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_less__add__iff2_1,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_less__add__iff2_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_less__add__iff1_1,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c),V_d,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_less__add__iff1_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c),V_d,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_True_0,axiom,
% 0.84/1.03 v_n____ = v_i____ ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__eq__add__iff1_0,axiom,
% 0.84/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n)
% 0.84/1.03 | ~ c_lessequals(V_j,V_i,tc_nat)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m) = V_n ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__eq__add__iff2_0,axiom,
% 0.84/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n)
% 0.84/1.03 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.84/1.03 | V_m = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__le__iff__disj_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(V_y,V_z,T_a)
% 0.84/1.03 | c_lessequals(V_x,V_z,T_a)
% 0.84/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__eq__add__iff2_1,axiom,
% 0.84/1.03 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_less__Suc0_1,axiom,
% 0.84/1.03 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_even__less__0__iff_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_even__less__0__iff_1,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_one__is__add_1,axiom,
% 0.84/1.03 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.84/1.03 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/1.03 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_one__is__add_2,axiom,
% 0.84/1.03 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.84/1.03 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/1.03 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__pos__pos_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__neg__neg_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.84/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__gr__0_0,axiom,
% 0.84/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.84/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_power__add_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.84/1.03 | c_Power_Opower__class_Opower(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_one__le__mult__iff_1,axiom,
% 0.84/1.03 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_one__le__mult__iff_0,axiom,
% 0.84/1.03 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.84/1.03 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_drop__Cons_H_0,axiom,
% 0.84/1.03 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_replicate__Suc_0,axiom,
% 0.84/1.03 c_List_Oreplicate(c_Suc(V_n),V_x,T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__cancel__21_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_trans__le__add2_0,axiom,
% 0.84/1.03 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_trans__le__add1_0,axiom,
% 0.84/1.03 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__leE_1,axiom,
% 0.84/1.03 ( c_lessequals(V_k,V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__leE_0,axiom,
% 0.84/1.03 ( c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 0.84/1.03 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 0.84/1.03 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 0.84/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 0.84/1.03 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 0.84/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_max__diff__distrib__left_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.84/1.03 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_list__app__typeE_1,axiom,
% 0.84/1.03 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.84/1.03 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_not__leE_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.84/1.03 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | ~ c_lessequals(V_x,V_x,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.84/1.03 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_linorder__not__less_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.84/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_linorder__not__less_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_lessequals(V_y,V_x,T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_linorder__not__le_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | ~ c_lessequals(V_x,V_y,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_linorder__not__le_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.84/1.03 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_less__le__not__le_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Opreorder(T_a)
% 0.84/1.03 | ~ c_lessequals(V_y,V_x,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_infinite__descent0_0,axiom,
% 0.84/1.03 ( hBOOL(hAPP(V_P,V_n))
% 0.84/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P),tc_nat)
% 0.84/1.03 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_subst__Var_1,axiom,
% 0.84/1.03 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.84/1.03 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_type__induct_2,axiom,
% 0.84/1.03 ( hBOOL(hAPP(V_P,V_T))
% 0.84/1.03 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_one__is__add_5,axiom,
% 0.84/1.03 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__strict__increasing2_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.84/1.03 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_diff__le__mono2_0,axiom,
% 0.84/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_diff__le__mono_0,axiom,
% 0.84/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_le__diff__iff_1,axiom,
% 0.84/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_le__diff__iff_0,axiom,
% 0.84/1.03 ( c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_diff__add__0_0,axiom,
% 0.84/1.03 c_HOL_Ominus__class_Ominus(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_diff__diff__left_0,axiom,
% 0.84/1.03 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_power__mono_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/1.03 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.84/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_eq__eqI_1,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.84/1.03 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.84/1.03 | V_xa = V_y ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_eq__eqI_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.84/1.03 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.84/1.03 | V_x_H = V_y_H ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_eq__diff__iff_0,axiom,
% 0.84/1.03 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_k,V_m,tc_nat)
% 0.84/1.03 | V_m = V_n ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 0.84/1.03 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.84/1.03 | V_m = V_n ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_one__is__add_3,axiom,
% 0.84/1.03 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.84/1.03 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.84/1.03 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_one__is__add_0,axiom,
% 0.84/1.03 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.84/1.03 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.84/1.03 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__less__cancel2_0,axiom,
% 0.84/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__less__cancel1_0,axiom,
% 0.84/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_foldl__Cons_0,axiom,
% 0.84/1.03 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__Suc__shift_0,axiom,
% 0.84/1.03 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_drop__Suc__Cons_0,axiom,
% 0.84/1.03 c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__le__cancel2_0,axiom,
% 0.84/1.03 ( c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__le__cancel1_0,axiom,
% 0.84/1.03 ( c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 0.84/1.03 ( c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 0.84/1.03 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.84/1.03 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/1.03 | c_lessequals(V_b,V_a,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/1.03 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.84/1.03 | ~ c_lessequals(V_b,V_a,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/1.03 | c_lessequals(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/1.03 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.84/1.03 | ~ c_lessequals(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/1.03 | c_lessequals(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.84/1.03 | c_lessequals(V_a,V_b,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.84/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_one__less__mult_0,axiom,
% 0.84/1.03 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_diff__cancel2_0,axiom,
% 0.84/1.03 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_diff__cancel_0,axiom,
% 0.84/1.03 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_zero__less__Suc_0,axiom,
% 0.84/1.03 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.84/1.03 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Oless__supI1_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Oless__supI2_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_less__max__iff__disj_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_less__max__iff__disj_2,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_max__less__iff__conj_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_max__less__iff__conj_1,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_listsum_Osimps_I1_J_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.84/1.03 | c_List_Olistsum(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_min__max_Oinf__commute_0,axiom,
% 0.84/1.03 ( ~ class_Orderings_Olinorder(T_a)
% 0.84/1.03 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_left__add__mult__distrib_0,axiom,
% 0.84/1.03 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_k)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_u,tc_nat)),V_k) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_combine__common__factor_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.84/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_e,T_a)),V_c) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_diff__le__self_0,axiom,
% 0.84/1.03 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.84/1.03 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.84/1.03 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 0.84/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 0.84/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_add__neg__neg_0,axiom,
% 0.84/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.84/1.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.84/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.03
% 0.84/1.03 cnf(cls_power__strict__mono_0,axiom,
% 0.84/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.84/1.04 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.84/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.84/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.84/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.84/1.04
% 0.84/1.04 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.84/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/1.04 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.84/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.04
% 0.84/1.04 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.84/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.84/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.84/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.84/1.04
% 0.84/1.04 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.84/1.04 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 0.84/1.04
% 0.84/1.04 cnf(cls_append__Cons_0,axiom,
% 0.84/1.04 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.84/1.04
% 0.92/1.04 cnf(cls_nat_Osplit__asm_1,axiom,
% 0.92/1.04 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_xa),t_a)))
% 0.92/1.04 | hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat_Osplit_1,axiom,
% 0.92/1.04 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_nat),t_a)))
% 0.92/1.04 | hBOOL(hAPP(V_P,hAPP(V_f2,V_nat))) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__mult__distrib2_0,axiom,
% 0.92/1.04 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__mult__distrib_0,axiom,
% 0.92/1.04 c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Oless__infI1_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Oless__infI2_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_foldl__absorb0_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(V_y,V_z,T_a)
% 0.92/1.04 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(V_x,V_z,T_a)
% 0.92/1.04 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__max__iff__disj_2,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__max__iff__disj_1,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Ole__supI2_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Ole__supI1_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Ole__supE_1,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(V_b,V_x,T_a)
% 0.92/1.04 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Ole__supE_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(V_a,V_x,T_a)
% 0.92/1.04 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__diff__conv_0,axiom,
% 0.92/1.04 ( c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__diff__conv_1,axiom,
% 0.92/1.04 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_zero__less__power_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__max__iff__disj_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__Suc__right_0,axiom,
% 0.92/1.04 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__Suc_0,axiom,
% 0.92/1.04 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Beta_0,axiom,
% 0.92/1.04 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))
% 0.92/1.04 | ~ c_InductTermi_OIT(V_s)
% 0.92/1.04 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_foldl__Nil_0,axiom,
% 0.92/1.04 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.92/1.04 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__case__Suc_0,axiom,
% 0.92/1.04 c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_nat),T_a) = hAPP(V_f2,V_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.92/1.04 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.92/1.04 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.92/1.04 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.92/1.04 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.92/1.04 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.92/1.04 | V_dB = V_dB_H ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__le__add__iff1_0,axiom,
% 0.92/1.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__le__add__iff1_1,axiom,
% 0.92/1.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat)
% 0.92/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__le__add__iff2_0,axiom,
% 0.92/1.04 ( c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat)
% 0.92/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__le__add__iff2_1,axiom,
% 0.92/1.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_of__nat__mult_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.92/1.04 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.92/1.04 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.92/1.04 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.92/1.04 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.92/1.04 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__less__iff__disj_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.04 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_w,V_z,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a))
% 0.92/1.04 | V_y = V_z
% 0.92/1.04 | V_w = V_x ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.04 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_d,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a))
% 0.92/1.04 | V_c = V_d
% 0.92/1.04 | V_a = V_b ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat)),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat)),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat))
% 0.92/1.04 | V_c = V_d
% 0.92/1.04 | V_a = V_b ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat))
% 0.92/1.04 | V_y = V_z
% 0.92/1.04 | V_w = V_x ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.92/1.04 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.92/1.04 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__nonpos__neg_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__neg__nonpos_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__SucE_0,axiom,
% 0.92/1.04 ( V_m = V_n
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__antisym_0,axiom,
% 0.92/1.04 ( V_m = V_n
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.92/1.04 ( V_n = V_m
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__add__assoc_0,axiom,
% 0.92/1.04 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat))
% 0.92/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__add__assoc2_0,axiom,
% 0.92/1.04 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_i)
% 0.92/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__eq__1__iff_2,axiom,
% 0.92/1.04 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.04 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.04 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.04 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__diff__right_0,axiom,
% 0.92/1.04 ( c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__imp__diff__less_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.92/1.04 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.92/1.04 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_type_Orecs_I1_J_0,axiom,
% 0.92/1.04 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_apps__preserves__beta_0,axiom,
% 0.92/1.04 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB))
% 0.92/1.04 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_empty__replicate_1,axiom,
% 0.92/1.04 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_one__is__add_4,axiom,
% 0.92/1.04 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__le__not__le_2,axiom,
% 0.92/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.04 | c_lessequals(V_y,V_x,T_a)
% 0.92/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__less__le_1,axiom,
% 0.92/1.04 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__not__refl_0,axiom,
% 0.92/1.04 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_order__less__le_1,axiom,
% 0.92/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_linorder__neq__iff_1,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_order__less__irrefl_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__imp__diff__is__add_1,axiom,
% 0.92/1.04 ( ~ c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),tc_nat)
% 0.92/1.04 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),V_i,tc_nat) = V_k ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Oinf__idem_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_beta_0,axiom,
% 0.92/1.04 c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__pos__pos_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__add1_0,axiom,
% 0.92/1.04 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__add2_0,axiom,
% 0.92/1.04 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__iff__add_1,axiom,
% 0.92/1.04 c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__minus__add__max_0,axiom,
% 0.92/1.04 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat)),V_m) = c_Orderings_Oord__class_Omax(V_n,V_m,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_listsum_Osimps_I2_J_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.92/1.04 | c_List_Olistsum(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Olistsum(V_xs,T_a)) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.04 | V_x = V_y ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | V_x = V_y
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__antisym_0,axiom,
% 0.92/1.04 ( V_m = V_n
% 0.92/1.04 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__neq__iff_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.04 | V_m = V_n ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__less__cases_0,axiom,
% 0.92/1.04 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.92/1.04 | V_m = V_n
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_var__app__type__eq_0,axiom,
% 0.92/1.04 ( V_T = V_U
% 0.92/1.04 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.92/1.04 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.92/1.04 | V_x = V_y ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_order__eq__iff_2,axiom,
% 0.92/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.04 | V_x = V_y
% 0.92/1.04 | ~ c_lessequals(V_y,V_x,T_a)
% 0.92/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_linorder__neqE_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.04 | V_x = V_y ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_order__antisym_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.04 | V_x = V_y
% 0.92/1.04 | ~ c_lessequals(V_y,V_x,T_a)
% 0.92/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_order__antisym__conv_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.04 | V_x = V_y
% 0.92/1.04 | ~ c_lessequals(V_x,V_y,T_a)
% 0.92/1.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_append__replicate__commute_0,axiom,
% 0.92/1.04 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_linorder__less__linear_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.92/1.04 | V_x = V_y
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | V_x = V_y
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.04 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Osup__idem_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.92/1.04 | V_dB2 = V_dB2_H ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.92/1.04 | V_dB1 = V_dB1_H ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__strict__mono_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__less__mono_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 0.92/1.04 ( c_lessequals(V_x,V_y,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__less__le_0,axiom,
% 0.92/1.04 ( c_lessequals(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_order__le__less_1,axiom,
% 0.92/1.04 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.04 | c_lessequals(V_x,V_y,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_order__less__imp__le_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.04 | c_lessequals(V_x,V_y,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.92/1.04 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.92/1.04 | V_rs = V_ss ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.92/1.04 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.92/1.04 | V_r = V_s ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.92/1.04 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.92/1.04 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.92/1.04 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__less__iff__conj_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__less__iff__conj_1,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__less__iff__disj_1,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__less__iff__disj_2,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 0.92/1.04 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__commute_0,axiom,
% 0.92/1.04 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__nonneg__pos_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__pos__nonneg_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__less__mono_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_c,V_a,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__le__0__iff_4,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__le__0__iff_5,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_split__mult__neg__le_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_split__mult__neg__le_1,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__square__less__zero_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__lessI_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.92/1.04 | c_Suc(V_m) = V_n
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__less__eq__eq_1,axiom,
% 0.92/1.04 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__less__eq__eq_0,axiom,
% 0.92/1.04 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.92/1.04 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)
% 0.92/1.04 | V_y = V_z ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)
% 0.92/1.04 | V_m = V_n ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 0.92/1.04 | V_m = V_n ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.04 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 0.92/1.04 | V_y = V_z ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__imp__eq_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.92/1.04 | V_b = V_c ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__left__cancel_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.92/1.04 | V_b = V_c ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__right__cancel_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 0.92/1.04 | V_b = V_c ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.92/1.04 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.92/1.04 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__add__distrib__left_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Orderings_Oord__class_Omin(V_x,V_y,T_a)),V_z) = c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__add__diff_0,axiom,
% 0.92/1.04 ( c_lessequals(V_m,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_k,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_neq__Nil__conv_1,axiom,
% 0.92/1.04 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.92/1.04 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Opwr__mul_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_pwr,hAPP(hAPP(V_mul,V_x),V_y)),V_q) = hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),hAPP(hAPP(V_pwr,V_y),V_q))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Omul__d_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_add,V_y),V_z)) = hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_x),V_y)),hAPP(hAPP(V_mul,V_x),V_z))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Omul__c_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Omul__a_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_mul,V_y),V_z)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_x),V_y)),V_z)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Omul__1_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Omul__0_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Oadd__c_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Oadd__a_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_x),hAPP(hAPP(V_add,V_y),V_z)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_x),V_y)),V_z)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Oadd__0_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),V_d)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),V_b)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,V_c),hAPP(hAPP(V_add,V_a),V_d))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_b),V_c))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),hAPP(hAPP(V_add,V_b),V_d))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_rx),hAPP(hAPP(V_mul,V_lx),V_ry))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),V_ry)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_rx) = hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_ly),V_rx))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_rx) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),V_ly)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_rx),hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_ry))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_ly),hAPP(hAPP(V_mul,V_rx),V_ry)))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),hAPP(hAPP(V_mul,V_ly),V_ry))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_c)),hAPP(hAPP(V_mul,V_b),V_c))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,V_m),hAPP(hAPP(V_mul,V_a),V_m)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_r1)),V_m)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_m)),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_r1)),V_m)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_m)),hAPP(hAPP(V_mul,V_b),V_m)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_b)),V_m)
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_type_Osplit__asm_0,axiom,
% 0.92/1.04 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a)))
% 0.92/1.04 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_type_Osplit_0,axiom,
% 0.92/1.04 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a)))
% 0.92/1.04 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.92/1.04 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.92/1.04 | V_r = V_s ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__is__1_3,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.04 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__is__1_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.04 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.04 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__diff__diff_0,axiom,
% 0.92/1.04 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 0.92/1.04 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 0.92/1.04 ( c_lessequals(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a)
% 0.92/1.04 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a)
% 0.92/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Lambda_0,axiom,
% 0.92/1.04 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
% 0.92/1.04 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_appR_0,axiom,
% 0.92/1.04 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t))
% 0.92/1.04 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_appL_0,axiom,
% 0.92/1.04 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u))
% 0.92/1.04 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | ~ 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) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Osup__commute_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 0.92/1.04 | V_a = V_b
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__Suc__eq_2,axiom,
% 0.92/1.04 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_drop__replicate_0,axiom,
% 0.92/1.04 c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_replicate__empty_1,axiom,
% 0.92/1.04 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat_Osize_I2_J_0,axiom,
% 0.92/1.04 c_nat_Onat__size(c_Suc(V_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_nat_Onat__size(V_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 0.92/1.04 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.04 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__square_0,axiom,
% 0.92/1.04 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__diff__cancel_0,axiom,
% 0.92/1.04 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 0.92/1.04 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.92/1.04 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__Cons__self2_0,axiom,
% 0.92/1.04 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.92/1.04 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 0.92/1.04 ( c_HOL_Ominus__class_Ominus(V_m,c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),c_Suc(V_j),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_of__nat__less__iff_1,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | 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)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_of__nat__less__iff_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ 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) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_lessI_0,axiom,
% 0.92/1.04 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__Suc__eq_2,axiom,
% 0.92/1.04 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__trans__Suc_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__le__cancel__right_1,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__le__cancel__right_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.04 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__le__cancel__left_1,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__le__cancel__left_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.04 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__right__mono_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.92/1.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__left__mono_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.92/1.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__le__mono1_0,axiom,
% 0.92/1.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 0.92/1.04 ( c_lessequals(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 0.92/1.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__imp__diff__is__add_0,axiom,
% 0.92/1.04 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.92/1.04 | V_j = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_i) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__add__diff__inverse_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.92/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__add__diff__inverse2_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)),V_n) = V_m
% 0.92/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),V_x) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_gb__semiring_Opwr__Suc_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_n)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_n))
% 0.92/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__less__cancel1_1,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__less__cancel2_1,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__diff__assoc_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__diff__assoc2_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_i) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_k,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_drop__drop_0,axiom,
% 0.92/1.04 c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_xs,T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_power__le__imp__le__base_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_replicate__add_0,axiom,
% 0.92/1.04 c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__left__idem_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.92/1.04 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | 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)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.04 | ~ 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) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.04 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_replicate__empty_0,axiom,
% 0.92/1.04 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.92/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.04 | c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.04 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_empty__replicate_0,axiom,
% 0.92/1.04 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 0.92/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__le__0__iff_3,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__le__0__iff_2,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__le__0__iff_1,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__le__0__iff_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__pos__neg2_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__pos__neg_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__neg__pos_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__leD_0,axiom,
% 0.92/1.04 ( c_lessequals(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_le__SucI_0,axiom,
% 0.92/1.04 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_list__app__typeD_1,axiom,
% 0.92/1.04 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.92/1.04 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_n__less__m__mult__n_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_n__less__n__mult__m_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__n__not__le__n_0,axiom,
% 0.92/1.04 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__diff__iff_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__diff__iff_1,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.92/1.04 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_pos__add__strict_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.04 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_subst__lt_0,axiom,
% 0.92/1.04 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_subst__Var__IT_0,axiom,
% 0.92/1.04 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))
% 0.92/1.04 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.92/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__add__less1_0,axiom,
% 0.92/1.04 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_not__add__less2_0,axiom,
% 0.92/1.04 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_of__nat__diff_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.92/1.04 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__right__mono_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__left__mono_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_mult__mono1_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.92/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_append__self__conv_0,axiom,
% 0.92/1.04 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.92/1.04 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_self__append__conv_0,axiom,
% 0.92/1.04 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.92/1.04 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_append__self__conv2_0,axiom,
% 0.92/1.04 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.92/1.04 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_self__append__conv2_0,axiom,
% 0.92/1.04 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.92/1.04 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.04 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Otimes__class_Otimes(V_r,V_c,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Otimes__class_Otimes(V_r,V_d,T_a))
% 0.92/1.04 | V_c = V_d
% 0.92/1.04 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 0.92/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat))
% 0.92/1.04 | V_c = V_d
% 0.92/1.04 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.92/1.04 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.92/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.04 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__diff__conv_0,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_less__diff__conv_1,axiom,
% 0.92/1.04 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.92/1.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_Suc__n__not__n_0,axiom,
% 0.92/1.04 c_Suc(V_n) != V_n ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_n__not__Suc__n_0,axiom,
% 0.92/1.04 V_n != c_Suc(V_n) ).
% 0.92/1.04
% 0.92/1.04 cnf(cls_add__strict__right__mono_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__less__cancel__right_1,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__less__cancel__right_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__strict__left__mono_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__less__cancel__left_1,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__less__cancel__left_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__less__mono1_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_one__le__mult__iff_2,axiom,
% 0.92/1.05 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.92/1.05 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_xt1_I6_J_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_lessequals(V_z,V_x,T_a)
% 0.92/1.05 | ~ c_lessequals(V_z,V_y,T_a)
% 0.92/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_xt1_I7_J_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.92/1.05 | ~ c_lessequals(V_z,V_y,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_xt1_I8_J_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.92/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.05 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__trans_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.05 | c_lessequals(V_x,V_z,T_a)
% 0.92/1.05 | ~ c_lessequals(V_y,V_z,T_a)
% 0.92/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__refl_0,axiom,
% 0.92/1.05 c_lessequals(V_n,V_n,tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__trans_0,axiom,
% 0.92/1.05 ( c_lessequals(V_i,V_k,tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_j,V_k,tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_eq__imp__le_0,axiom,
% 0.92/1.05 c_lessequals(V_x,V_x,tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_not__Cons__self_0,axiom,
% 0.92/1.05 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__Suc__Suc_0,axiom,
% 0.92/1.05 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__SucE_0,axiom,
% 0.92/1.05 ( V_m = c_Suc(V_n)
% 0.92/1.05 | c_lessequals(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_not__less__eq_1,axiom,
% 0.92/1.05 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_not__less__eq_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel2_2,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel1_2,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__mono2_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__mono1_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.92/1.05 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_max__add__distrib__left_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)),V_z) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_app__Var__IT_0,axiom,
% 0.92/1.05 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i)))
% 0.92/1.05 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_power__inject__base_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a)
% 0.92/1.05 | V_a = V_b
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__le__mono_0,axiom,
% 0.92/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_l,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__cube_0,axiom,
% 0.92/1.05 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat),tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__mono_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.05 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__mono_H_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.05 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__max_Osup__assoc_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.92/1.05 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_m,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_m,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.92/1.05 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_abs_0,axiom,
% 0.92/1.05 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))
% 0.92/1.05 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_replicate__append__same_0,axiom,
% 0.92/1.05 c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diff__add__inverse2_0,axiom,
% 0.92/1.05 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diff__add__inverse_0,axiom,
% 0.92/1.05 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__diff__cancel_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_foldl__append_0,axiom,
% 0.92/1.05 c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Osimps_I5_J_0,axiom,
% 0.92/1.05 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__le__less__mono_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__less__le__mono_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.92/1.05 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.92/1.05 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Suc__less__eq_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Suc__mono_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__gr__0_2,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__gr__0_1,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_typing__elims_I3_J_0,axiom,
% 0.92/1.05 ( V_T = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t)),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 0.92/1.05 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_power__eq__0__iff_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.92/1.05 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.05 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.05 | ~ class_Power_Opower(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_field__power__not__zero_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__zero__left_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__zero__right_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_no__zero__divisors_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_double__eq__0__iff_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.05 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diff__self_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diff__0__right_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_right__minus__eq_1,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.05 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.05 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.92/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_double__eq__0__iff_1,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.05 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_x = V_y ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_right__minus__eq_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_a = V_b ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_a = V_b ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.05 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.05 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__0__left_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__0__eq_1,axiom,
% 0.92/1.05 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__cancel2_1,axiom,
% 0.92/1.05 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__cancel1_1,axiom,
% 0.92/1.05 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_neq0__conv_1,axiom,
% 0.92/1.05 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_gr0I_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__eq__iff_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__eq__refl_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.05 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__le__less__trans_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.92/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__less__le__trans_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.92/1.05 | ~ c_lessequals(V_y,V_z,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__add__right__mono_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.05 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.92/1.05 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_subst__eq_0,axiom,
% 0.92/1.05 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_list_Oinject_0,axiom,
% 0.92/1.05 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.92/1.05 | V_a = V_a_H ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_list_Oinject_1,axiom,
% 0.92/1.05 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.92/1.05 | V_list = V_list_H ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.92/1.05 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.92/1.05 | V_rs = V_ss ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.92/1.05 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.92/1.05 | V_m = V_n ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.92/1.05 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__diff_0,axiom,
% 0.92/1.05 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__diff__split_0,axiom,
% 0.92/1.05 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__is__1_5,axiom,
% 0.92/1.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__idem_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.92/1.05 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.92/1.05 | V_nat = V_nat_H ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_ex__least__nat__le_1,axiom,
% 0.92/1.05 ( ~ hBOOL(hAPP(V_P,V_i))
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_i,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n),tc_nat)
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,V_n))
% 0.92/1.05 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__less__Suc__eq_0,axiom,
% 0.92/1.05 ( V_n = V_m
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.92/1.05 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.92/1.05 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__le__mono1_0,axiom,
% 0.92/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__le__mono2_0,axiom,
% 0.92/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__le__cancel1_2,axiom,
% 0.92/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__le__cancel2_2,axiom,
% 0.92/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_replicate__app__Cons__same_0,axiom,
% 0.92/1.05 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__less__diff_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__less__diff_1,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Suc__lessD_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_less__SucI_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_subst__App_0,axiom,
% 0.92/1.05 c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Suc__mult__cancel1_0,axiom,
% 0.92/1.05 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat)
% 0.92/1.05 | V_m = V_n ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Suc__pred_0,axiom,
% 0.92/1.05 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_of__nat__add_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.92/1.05 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diff__less_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__eqI_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.05 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.92/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__eqI_1,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.05 | c_lessequals(V_y,V_x,T_a)
% 0.92/1.05 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_less__eqI_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_less__eqI_1,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_power__mult__distrib_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_listsum__append_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.92/1.05 | c_List_Olistsum(c_List_Oappend(V_xs,V_ys,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_List_Olistsum(V_xs,T_a)),c_List_Olistsum(V_ys,T_a)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__diff__inverse_0,axiom,
% 0.92/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diff__Suc__less_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_append1__eq__conv_0,axiom,
% 0.92/1.05 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.92/1.05 | V_xs = V_ys ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_append1__eq__conv_1,axiom,
% 0.92/1.05 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.92/1.05 | V_x = V_y ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__is__1_1,axiom,
% 0.92/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.05 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.05 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__is__1_2,axiom,
% 0.92/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_power__mult_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_n,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_xt1_I11_J_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | V_a = V_b
% 0.92/1.05 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_xt1_I12_J_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | ~ c_lessequals(V_b,V_a,T_a)
% 0.92/1.05 | V_a = V_b ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__less__le_2,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | V_m = V_n
% 0.92/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__eq__less__or__eq_0,axiom,
% 0.92/1.05 ( V_m = V_n
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__neq__implies__less_0,axiom,
% 0.92/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.05 | V_m = V_n
% 0.92/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__le__less_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | V_x = V_y
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__less__le_2,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.05 | V_x = V_y
% 0.92/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__le__neq__trans_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | V_a = V_b
% 0.92/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__neq__le__trans_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,V_b,T_a)
% 0.92/1.05 | V_a = V_b ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | V_x = V_y
% 0.92/1.05 | ~ c_lessequals(V_x,V_y,T_a)
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | V_x = V_y
% 0.92/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_zero__le__square_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_split__mult__pos__le_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_split__mult__pos__le_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.92/1.05 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Suc__le__mono_0,axiom,
% 0.92/1.05 ( c_lessequals(V_n,V_m,tc_nat)
% 0.92/1.05 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Suc__le__mono_1,axiom,
% 0.92/1.05 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_append__assoc_0,axiom,
% 0.92/1.05 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__mult__assoc_0,axiom,
% 0.92/1.05 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_append__eq__appendI_0,axiom,
% 0.92/1.05 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.92/1.05 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.92/1.05 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__mult__distrib_0,axiom,
% 0.92/1.05 c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat)),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__mult__distrib2_0,axiom,
% 0.92/1.05 c_HOL_Otimes__class_Otimes(V_k,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat)),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.92/1.05 | c_HOL_Otimes__class_Otimes(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_xt1_I9_J_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__le__linear_0,axiom,
% 0.92/1.05 ( c_lessequals(V_n,V_m,tc_nat)
% 0.92/1.05 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_linorder__linear_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.05 | c_lessequals(V_y,V_x,T_a)
% 0.92/1.05 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__less__asym_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_order__less__asym_H_0,axiom,
% 0.92/1.05 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__rec__0_0,axiom,
% 0.92/1.05 c_Nat_Onat_Onat__rec(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_ex__least__nat__le_2,axiom,
% 0.92/1.05 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n)))
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,V_n))
% 0.92/1.05 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.92/1.05 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.92/1.05 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.92/1.05 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | V_m = V_n ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le__0__eq_0,axiom,
% 0.92/1.05 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__induct_0,axiom,
% 0.92/1.05 ( hBOOL(hAPP(V_P,V_n))
% 0.92/1.05 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(V_P)))
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__is__0_2,axiom,
% 0.92/1.05 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__is__0_1,axiom,
% 0.92/1.05 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__is__0_0,axiom,
% 0.92/1.05 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__is__0_1,axiom,
% 0.92/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__is__0_0,axiom,
% 0.92/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Nitpick_Onat__case__def_0,axiom,
% 0.92/1.05 c_Nat_Onat_Onat__case(V_x,V_f,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__case__0_0,axiom,
% 0.92/1.05 c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__0R_0,axiom,
% 0.92/1.05 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_min__0L_0,axiom,
% 0.92/1.05 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__cancel2_0,axiom,
% 0.92/1.05 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 0.92/1.05 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | V_m = V_n ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_mult__cancel1_0,axiom,
% 0.92/1.05 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.92/1.05 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.05 | V_m = V_n ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 0.92/1.05 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.92/1.05 | V_m = V_n
% 0.92/1.05 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.92/1.05 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diff__self__eq__0_0,axiom,
% 0.92/1.05 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.92/1.05 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.92/1.05 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__eq__self__zero_0,axiom,
% 0.92/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.92/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_replicate_Oinduct_0,axiom,
% 0.92/1.05 ( hBOOL(hAPP(V_P,V_nat))
% 0.92/1.05 | hBOOL(hAPP(V_P,v_sko__List__Xreplicate__Xinduct__1(V_P)))
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.92/1.05 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.92/1.05 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat_Osplit_0,axiom,
% 0.92/1.05 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 0.92/1.05 | hBOOL(hAPP(V_P,V_f1)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat_Oinducts_0,axiom,
% 0.92/1.05 ( hBOOL(hAPP(V_P,V_nat))
% 0.92/1.05 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinducts__1(V_P)))
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat__gcd_Osimps_0,axiom,
% 0.92/1.05 c_Nitpick_Onat__gcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat)) = V_x ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat_Osize_I1_J_0,axiom,
% 0.92/1.05 c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_char__size_0,axiom,
% 0.92/1.05 c_String_Ochar_Ochar__size(V_c) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_add__is__0_2,axiom,
% 0.92/1.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_nat_Oinduct_0,axiom,
% 0.92/1.05 ( hBOOL(hAPP(V_P,V_nat))
% 0.92/1.05 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinduct__1(V_P)))
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_gr__implies__not0_0,axiom,
% 0.92/1.05 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_not__less0_0,axiom,
% 0.92/1.05 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_bot__nat__def_0,axiom,
% 0.92/1.05 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_upt_Oinduct_0,axiom,
% 0.92/1.05 ( hBOOL(hAPP(V_P,V_nat))
% 0.92/1.05 | hBOOL(hAPP(V_P,v_sko__List__Xupt__Xinduct__1(V_P)))
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_drop__0_0,axiom,
% 0.92/1.05 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_diff__0__eq__0_0,axiom,
% 0.92/1.05 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_infinite__descent0_1,axiom,
% 0.92/1.05 ( hBOOL(hAPP(V_P,V_n))
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P)))
% 0.92/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_le0_0,axiom,
% 0.92/1.05 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_size__char_0,axiom,
% 0.92/1.05 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.92/1.05 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_max__0R_0,axiom,
% 0.92/1.05 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_max__0L_0,axiom,
% 0.92/1.05 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.92/1.05 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.92/1.05 | V_x = V_y
% 0.92/1.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.92/1.05 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.92/1.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.92/1.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_gb__semiring_Opwr__0_0,axiom,
% 0.92/1.05 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1
% 0.92/1.05 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_listsum__foldr_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.92/1.05 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_foldl__foldr1_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.92/1.05 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.92/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.92/1.05 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_argsT_0,axiom,
% 0.92/1.05 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_subject__reduction_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.92/1.05 | ~ c_Lambda_Obeta(V_t,V_t_H)
% 0.92/1.05 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.92/1.05 ( hAPP(V_e,V_i) = V_T
% 0.92/1.05 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_typing_OVar_0,axiom,
% 0.92/1.05 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_abs__typeE_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xabs__typeE__1__2(V_e,V_t))
% 0.92/1.05 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_typing__elims_I3_J_1,axiom,
% 0.92/1.05 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 0.92/1.05 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_typing__elims_I2_J_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T))
% 0.92/1.05 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Osimps_I4_J_0,axiom,
% 0.92/1.05 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type__induct_1,axiom,
% 0.92/1.05 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.92/1.05 | hBOOL(hAPP(V_P,V_T))
% 0.92/1.05 | hBOOL(hAPP(V_P,V_T2)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type__induct_0,axiom,
% 0.92/1.05 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x)
% 0.92/1.05 | hBOOL(hAPP(V_P,V_T))
% 0.92/1.05 | hBOOL(hAPP(V_P,V_T1a)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Orecs_I2_J_0,axiom,
% 0.92/1.05 c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Osimps_I6_J_0,axiom,
% 0.92/1.05 c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Osplit__asm_1,axiom,
% 0.92/1.05 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_xa),V_xb),t_a)))
% 0.92/1.05 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Osplit_1,axiom,
% 0.92/1.05 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),t_a)))
% 0.92/1.05 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Osimps_I3_J_0,axiom,
% 0.92/1.05 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 0.92/1.05 c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_foldr__append_0,axiom,
% 0.92/1.05 c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.92/1.05 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_lift__IT_0,axiom,
% 0.92/1.05 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
% 0.92/1.05 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.92/1.05 c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_subst__lift_0,axiom,
% 0.92/1.05 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_lift__preserves__beta_0,axiom,
% 0.92/1.05 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i))
% 0.92/1.05 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_MI2_0,axiom,
% 0.92/1.05 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.92/1.05 | c_InductTermi_OIT(c_Lambda_Osubst(V_t,V_u,V_i))
% 0.92/1.05 | ~ c_Type_Otyping(V_e,V_u,V_T2)
% 0.92/1.05 | ~ c_InductTermi_OIT(V_u)
% 0.92/1.05 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)
% 0.92/1.05 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_MI1_0,axiom,
% 0.92/1.05 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.92/1.05 | c_InductTermi_OIT(c_Lambda_Osubst(V_t,V_u,V_i))
% 0.92/1.05 | ~ c_Type_Otyping(V_e,V_u,V_T1)
% 0.92/1.05 | ~ c_InductTermi_OIT(V_u)
% 0.92/1.05 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)
% 0.92/1.05 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_shift__gt_0,axiom,
% 0.92/1.05 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.92/1.05 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_list__app__typeE_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.92/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_list__app__typeI_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 0.92/1.05 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.92/1.05 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_list__app__typeD_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.92/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_headT_0,axiom,
% 0.92/1.05 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_uIT_0,axiom,
% 0.92/1.05 c_InductTermi_OIT(v_u____) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_argT_0,axiom,
% 0.92/1.05 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_power__eq__0__iff_2,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.92/1.05 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.05 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.05 | ~ class_Power_Opower(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_power__0__left_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.92/1.05 | ~ class_Power_Opower(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_power__eq__0__iff_1,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.92/1.05 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.05 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.05 | ~ class_Power_Opower(T_a)
% 0.92/1.05 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_of__nat__0_0,axiom,
% 0.92/1.05 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.92/1.05 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_shift__commute_0,axiom,
% 0.92/1.05 c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a) = c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_App_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.92/1.05 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.92/1.05 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_subst__lemma_0,axiom,
% 0.92/1.05 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.92/1.05 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.92/1.05 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_varT_0,axiom,
% 0.92/1.05 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_uT_0,axiom,
% 0.92/1.05 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_Abs_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))
% 0.92/1.05 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_T_0,axiom,
% 0.92/1.05 v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_lift__type_0,axiom,
% 0.92/1.05 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 0.92/1.05 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.92/1.05 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.92/1.05 | V_type1 = V_type1_H ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.92/1.05 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.92/1.05 | V_type2 = V_type2_H ) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_uT_H_0,axiom,
% 0.92/1.05 c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_shift__eq_0,axiom,
% 0.92/1.05 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_conjecture_0,negated_conjecture,
% 0.92/1.05 ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.92/1.05 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.92/1.05 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.92/1.05 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.92/1.05 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.92/1.05 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.92/1.05 | ~ class_Orderings_Obot(T_1) ) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.92/1.05 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.92/1.05 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.92/1.05 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.92/1.05 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.92/1.05 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.92/1.05 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.92/1.05 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.92/1.05 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.92/1.05 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.92/1.05 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.92/1.05 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.92/1.05 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.92/1.05 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.92/1.05 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.92/1.05 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.92/1.05 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.92/1.05 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.92/1.05 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.92/1.05 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.92/1.05 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.92/1.05 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.92/1.05 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.92/1.05 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.92/1.05 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.92/1.05 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.92/1.05 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.92/1.05 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.92/1.05 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.92/1.05 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.92/1.05 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.92/1.05 class_Orderings_Opreorder(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.92/1.05 class_Orderings_Olinorder(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.92/1.05 class_Orderings_Oorder(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.92/1.05 class_Orderings_Obot(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(clsarity_nat__Power_Opower,axiom,
% 0.92/1.05 class_Power_Opower(tc_nat) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.92/1.05 c_fequal(V_x,V_x,T_a) ).
% 0.92/1.05
% 0.92/1.05 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.92/1.05 ( V_X = V_Y
% 0.92/1.05 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.92/1.05
% 0.92/1.05 %------------------------------------------------------------------------------
% 0.92/1.05 %-------------------------------------------
% 0.92/1.05 % Proof found
% 0.92/1.05 % SZS status Theorem for theBenchmark
% 0.92/1.05 % SZS output start Proof
% 0.92/1.06 %ClaNum:1110(EqnAxiom:191)
% 0.92/1.06 %VarNum:5970(SingletonVarNum:2326)
% 0.92/1.06 %MaxLitNum:6
% 0.92/1.06 %MaxfuncDepth:6
% 0.92/1.06 %SharedTerms:91
% 0.92/1.06 %goalClause: 397
% 0.92/1.06 %singleGoalClaCount:1
% 0.92/1.06 [192]E(a1,a60)
% 0.92/1.06 [193]P1(a2)
% 0.92/1.06 [194]P2(a2)
% 0.92/1.06 [195]P35(a2)
% 0.92/1.06 [196]P3(a2)
% 0.92/1.06 [197]P36(a2)
% 0.92/1.06 [198]P4(a2)
% 0.92/1.06 [199]P5(a2)
% 0.92/1.06 [200]P37(a2)
% 0.92/1.06 [201]P22(a2)
% 0.92/1.06 [202]P27(a2)
% 0.92/1.06 [203]P23(a2)
% 0.92/1.06 [204]P29(a2)
% 0.92/1.06 [205]P33(a2)
% 0.92/1.06 [206]P34(a2)
% 0.92/1.06 [207]P31(a2)
% 0.92/1.06 [208]P32(a2)
% 0.92/1.06 [209]P6(a2)
% 0.92/1.06 [210]P47(a2)
% 0.92/1.06 [211]P7(a61)
% 0.92/1.06 [212]P16(a2)
% 0.92/1.06 [213]P48(a2)
% 0.92/1.06 [214]P56(a2)
% 0.92/1.06 [215]P30(a2)
% 0.92/1.06 [216]P49(a2)
% 0.92/1.06 [217]P18(a2)
% 0.92/1.06 [218]P21(a2)
% 0.92/1.06 [219]P39(a2)
% 0.92/1.06 [220]P41(a2)
% 0.92/1.06 [221]P42(a2)
% 0.92/1.06 [222]P50(a2)
% 0.92/1.06 [223]P57(a2)
% 0.92/1.06 [224]P43(a2)
% 0.92/1.06 [225]P44(a2)
% 0.92/1.06 [226]P24(a2)
% 0.92/1.06 [227]P19(a2)
% 0.92/1.06 [228]P38(a2)
% 0.92/1.06 [234]P10(a53,a61,a54)
% 0.92/1.06 [229]E(f3(a2),f10(a2))
% 0.92/1.06 [347]P10(f35(a53,a1,a54,a51),a57,a55)
% 0.92/1.06 [348]P14(f35(a53,a1,a54,a51),a59,a58)
% 0.92/1.06 [230]E(f29(f3(a2)),f3(a2))
% 0.92/1.06 [359]E(f48(f48(a46,a55),f22(a46,a58,a56,a51,a51)),a54)
% 0.92/1.06 [363]P10(a53,a61,f48(f48(a46,a55),f22(a46,a58,a56,a51,a51)))
% 0.92/1.06 [366]P10(f35(a53,a1,a54,a51),f11(a60),f48(f48(a46,a55),f22(a46,a58,a56,a51,a51)))
% 0.92/1.06 [397]~P10(f35(a53,f3(a2),a55,a51),f18(a61,f3(a2)),f48(f48(a46,a55),f22(a46,a58,a56,a51,a51)))
% 0.92/1.06 [277]E(f9(f32(f3(a2)),f32(f3(a2)),a2),f32(f3(a2)))
% 0.92/1.06 [361]P10(f35(a53,a1,a54,a51),f48(f48(a12,f11(a60)),a57),f22(a46,a58,a56,a51,a51))
% 0.92/1.06 [238]P12(x2381,x2381,a2)
% 0.92/1.06 [383]~P8(x3831,x3831,a2)
% 0.92/1.06 [231]P7(f11(x2311))
% 0.92/1.06 [232]E(f14(x2321,a47),f3(a2))
% 0.92/1.06 [241]E(f5(x2411,x2411,a2),f3(a2))
% 0.92/1.06 [242]P12(f3(a2),x2421,a2)
% 0.92/1.06 [254]P8(x2541,f32(x2541),a2)
% 0.92/1.06 [265]P8(f3(a2),f32(x2651),a2)
% 0.92/1.06 [294]P12(x2941,f9(x2941,x2941,a2),a2)
% 0.92/1.06 [368]~E(f32(x3681),x3681)
% 0.92/1.06 [372]~E(f32(x3721),f3(a2))
% 0.92/1.06 [387]~P8(x3871,f3(a2),a2)
% 0.92/1.06 [391]~P12(f32(x3911),x3911,a2)
% 0.92/1.06 [233]E(f28(x2331,f3(a2)),x2331)
% 0.92/1.06 [236]E(f48(f48(f4(a2),x2361),f3(a2)),x2361)
% 0.92/1.06 [243]E(f5(x2431,f3(a2),a2),x2431)
% 0.92/1.06 [244]E(f30(x2441,f3(a2),a2),x2441)
% 0.92/1.06 [245]E(f30(f3(a2),x2451,a2),x2451)
% 0.92/1.06 [248]E(f9(x2481,f3(a2),a2),f3(a2))
% 0.92/1.06 [249]E(f31(x2491,f3(a2),a2),f3(a2))
% 0.92/1.06 [250]E(f9(f3(a2),x2501,a2),f3(a2))
% 0.92/1.06 [251]E(f5(f3(a2),x2511,a2),f3(a2))
% 0.92/1.06 [252]E(f31(f3(a2),x2521,a2),f3(a2))
% 0.92/1.06 [337]P12(x3371,f9(x3371,f9(x3371,x3371,a2),a2),a2)
% 0.92/1.06 [239]E(f48(f48(f4(a2),f3(a2)),x2391),x2391)
% 0.92/1.06 [273]E(f48(f48(f4(a2),f29(x2731)),f32(f3(a2))),f29(f32(x2731)))
% 0.92/1.06 [240]P13(x2401,x2401,x2402)
% 0.92/1.06 [278]P10(x2781,f11(x2782),f48(x2781,x2782))
% 0.92/1.06 [280]E(f9(x2801,x2802,a2),f9(x2802,x2801,a2))
% 0.92/1.06 [295]P12(f5(x2951,x2952,a2),x2951,a2)
% 0.92/1.06 [296]P8(f5(x2961,x2962,a2),f32(x2961),a2)
% 0.92/1.06 [374]~E(f13(x3741),f11(x3742))
% 0.92/1.06 [375]~P11(f11(x3751),x3752)
% 0.92/1.06 [247]E(f15(f3(a2),x2471,x2472),x2471)
% 0.92/1.06 [259]E(f16(x2591,f19(x2592),x2592),x2591)
% 0.92/1.06 [260]E(f16(f19(x2601),x2602,x2601),x2602)
% 0.92/1.06 [261]E(f17(f11(x2611),x2612,x2611),x2612)
% 0.92/1.06 [263]E(f23(f3(a2),x2631,x2632),f19(x2632))
% 0.92/1.06 [266]E(f15(x2661,f19(x2662),x2662),f19(x2662))
% 0.92/1.06 [282]E(f9(x2821,f3(a2),a2),f9(x2822,f3(a2),a2))
% 0.92/1.06 [283]E(f9(f3(a2),x2831,a2),f9(f3(a2),x2832,a2))
% 0.92/1.06 [285]E(f5(f32(x2851),f32(x2852),a2),f5(x2851,x2852,a2))
% 0.92/1.06 [297]E(f31(f32(x2971),f32(x2972),a2),f32(f31(x2971,x2972,a2)))
% 0.92/1.06 [298]E(f30(f32(x2981),f32(x2982),a2),f32(f30(x2981,x2982,a2)))
% 0.92/1.06 [300]E(f48(f48(f4(a2),x3001),f9(x3001,x3002,a2)),f9(x3001,f32(x3002),a2))
% 0.92/1.06 [301]E(f48(f48(f4(a2),x3011),f9(x3012,x3011,a2)),f9(f32(x3012),x3011,a2))
% 0.92/1.06 [279]E(f48(f48(f4(a2),x2791),x2792),f48(f48(f4(a2),x2792),x2791))
% 0.92/1.06 [281]E(f48(f48(f4(a2),f32(x2811)),x2812),f48(f48(f4(a2),x2811),f32(x2812)))
% 0.92/1.06 [286]P12(x2861,f48(f48(f4(a2),x2862),x2861),a2)
% 0.92/1.06 [288]P12(x2881,f48(f48(f4(a2),x2881),x2882),a2)
% 0.92/1.06 [307]P11(f48(f48(a12,f13(x3071)),x3072),f17(x3071,x3072,f3(a2)))
% 0.92/1.06 [322]E(f48(f48(f4(a2),f5(x3221,x3222,a2)),x3222),f30(x3221,x3222,a2))
% 0.92/1.06 [393]~P8(f48(f48(f4(a2),x3931),x3932),x3932,a2)
% 0.92/1.06 [394]~P8(f48(f48(f4(a2),x3941),x3942),x3941,a2)
% 0.92/1.06 [289]E(f5(f48(f48(f4(a2),x2891),x2892),x2892,a2),x2891)
% 0.92/1.06 [290]E(f5(f48(f48(f4(a2),x2901),x2902),x2901,a2),x2902)
% 0.92/1.06 [291]E(f5(x2911,f48(f48(f4(a2),x2911),x2912),a2),f3(a2))
% 0.92/1.06 [292]E(f32(f48(f48(f4(a2),x2921),x2922)),f48(f48(f4(a2),x2921),f32(x2922)))
% 0.92/1.06 [293]E(f32(f48(f48(f4(a2),x2931),x2932)),f48(f48(f4(a2),f32(x2931)),x2932))
% 0.92/1.06 [308]P8(x3081,f32(f48(f48(f4(a2),x3082),x3081)),a2)
% 0.92/1.06 [310]P8(x3101,f32(f48(f48(f4(a2),x3101),x3102)),a2)
% 0.92/1.06 [385]~E(f20(x3851,x3852,x3853),x3852)
% 0.92/1.06 [390]~E(f20(x3901,x3902,x3903),f19(x3903))
% 0.92/1.06 [276]E(f17(f18(x2761,x2762),x2763,x2762),x2761)
% 0.92/1.06 [284]E(f23(f3(a2),x2841,x2842),f23(f3(a2),x2843,x2842))
% 0.92/1.06 [304]E(f20(x3041,f23(x3042,x3041,x3043),x3043),f23(f32(x3042),x3041,x3043))
% 0.92/1.06 [311]E(f25(x3111,x3112,f3(a2),x3113),x3111)
% 0.92/1.06 [313]E(f26(x3131,x3132,f3(a2),x3133),x3131)
% 0.92/1.06 [323]E(f9(f9(x3231,x3232,a2),x3233,a2),f9(x3231,f9(x3232,x3233,a2),a2))
% 0.92/1.06 [324]E(f5(f5(x3241,x3242,a2),x3243,a2),f5(f5(x3241,x3243,a2),x3242,a2))
% 0.92/1.06 [334]E(f5(f5(f32(x3341),x3342,a2),f32(x3343),a2),f5(f5(x3341,x3342,a2),x3343,a2))
% 0.92/1.06 [339]E(f5(f9(x3391,x3392,a2),f9(x3391,x3393,a2),a2),f9(x3391,f5(x3392,x3393,a2),a2))
% 0.92/1.06 [340]E(f5(f9(x3401,x3402,a2),f9(x3403,x3402,a2),a2),f9(f5(x3401,x3403,a2),x3402,a2))
% 0.92/1.06 [341]E(f31(f5(x3411,x3412,a2),f5(x3413,x3412,a2),a2),f5(f31(x3411,x3413,a2),x3412,a2))
% 0.92/1.06 [376]~E(f11(x3761),f48(f48(a12,x3762),x3763))
% 0.92/1.06 [377]~E(f34(x3771),f48(f48(a46,x3772),x3773))
% 0.92/1.06 [378]~E(f13(x3781),f48(f48(a12,x3782),x3783))
% 0.92/1.06 [379]~E(f48(f48(a12,x3791),x3792),f11(x3793))
% 0.92/1.06 [380]~E(f48(f48(a12,x3801),x3802),f13(x3803))
% 0.92/1.06 [381]~E(f48(f48(a46,x3811),x3812),f34(x3813))
% 0.92/1.06 [299]E(f48(f48(a12,f18(x2991,x2992)),f18(x2993,x2992)),f18(f48(f48(a12,x2991),x2993),x2992))
% 0.92/1.06 [342]E(f16(f23(x3421,x3422,x3423),f20(x3422,f19(x3423),x3423),x3423),f20(x3422,f23(x3421,x3422,x3423),x3423))
% 0.92/1.06 [317]E(f48(f48(f4(a2),x3171),f48(f48(f4(a2),x3172),x3173)),f48(f48(f4(a2),x3172),f48(f48(f4(a2),x3171),x3173)))
% 0.92/1.06 [318]E(f5(f48(f48(f4(a2),x3181),x3182),f48(f48(f4(a2),x3183),x3182),a2),f5(x3181,x3183,a2))
% 0.92/1.06 [319]E(f5(f48(f48(f4(a2),x3191),x3192),f48(f48(f4(a2),x3191),x3193),a2),f5(x3192,x3193,a2))
% 0.92/1.06 [320]E(f5(x3201,f48(f48(f4(a2),x3202),x3203),a2),f5(f5(x3201,x3202,a2),x3203,a2))
% 0.92/1.06 [344]E(f48(f48(f4(a2),f9(x3441,x3442,a2)),f9(x3441,x3443,a2)),f9(x3441,f48(f48(f4(a2),x3442),x3443),a2))
% 0.92/1.06 [345]E(f48(f48(f4(a2),f9(x3451,x3452,a2)),f9(x3453,x3452,a2)),f9(f48(f48(f4(a2),x3451),x3453),x3452,a2))
% 0.92/1.06 [336]E(f48(f48(f4(a2),f48(f48(f4(a2),x3361),x3362)),x3363),f48(f48(f4(a2),x3361),f48(f48(f4(a2),x3362),x3363)))
% 0.92/1.06 [306]E(f15(f32(x3061),f20(x3062,x3063,x3064),x3064),f15(x3061,x3063,x3064))
% 0.92/1.06 [314]E(f26(x3141,x3142,f32(x3143),x3144),f48(x3142,x3143))
% 0.92/1.06 [315]E(f44(x3151,x3152,f34(x3153),x3154),f48(x3151,x3153))
% 0.92/1.06 [316]E(f45(x3161,x3162,f34(x3163),x3164),f48(x3161,x3163))
% 0.92/1.06 [325]E(f15(x3251,f23(x3252,x3253,x3254),x3254),f23(f5(x3252,x3251,a2),x3253,x3254))
% 0.92/1.06 [331]E(f16(f16(x3311,x3312,x3313),x3314,x3313),f16(x3311,f16(x3312,x3314,x3313),x3313))
% 0.92/1.06 [333]E(f20(x3331,f16(x3332,x3333,x3334),x3334),f16(f20(x3331,x3332,x3334),x3333,x3334))
% 0.92/1.06 [346]E(f48(f35(x3461,x3462,x3463,x3464),x3462),x3463)
% 0.92/1.06 [349]E(f16(f23(x3491,x3492,x3493),f23(x3494,x3492,x3493),x3493),f16(f23(x3494,x3492,x3493),f23(x3491,x3492,x3493),x3493))
% 0.92/1.06 [353]E(f48(f48(x3531,x3532),f25(x3533,x3531,x3532,x3534)),f25(x3533,x3531,f32(x3532),x3534))
% 0.92/1.06 [354]E(f21(x3541,x3542,f19(x3543),x3544,x3543),x3542)
% 0.92/1.06 [355]E(f22(x3551,f19(x3552),x3553,x3552,x3554),x3553)
% 0.92/1.06 [396]~E(f21(a12,f13(x3961),x3962,a49,a49),f21(a12,f11(x3963),x3964,a49,a49))
% 0.92/1.06 [343]E(f48(f48(a12,f17(x3431,x3432,x3433)),f17(x3434,x3432,x3433)),f17(f48(f48(a12,x3431),x3434),x3432,x3433))
% 0.92/1.06 [350]E(f20(x3501,f16(f23(x3502,x3501,x3503),x3504,x3503),x3503),f16(f23(x3502,x3501,x3503),f20(x3501,x3504,x3503),x3503))
% 0.92/1.06 [395]~E(f48(f48(a12,f13(x3951)),x3952),f21(a12,f11(x3953),x3954,a49,a49))
% 0.92/1.06 [321]E(f15(x3211,f15(x3212,x3213,x3214),x3214),f15(f48(f48(f4(a2),x3211),x3212),x3213,x3214))
% 0.92/1.06 [338]E(f16(f23(x3381,x3382,x3383),f23(x3384,x3382,x3383),x3383),f23(f48(f48(f4(a2),x3381),x3384),x3382,x3383))
% 0.92/1.06 [356]E(f48(f48(f4(a2),f9(x3561,x3562,a2)),f48(f48(f4(a2),f9(x3563,x3562,a2)),x3564)),f48(f48(f4(a2),f9(f48(f48(f4(a2),x3561),x3563),x3562,a2)),x3564))
% 0.92/1.06 [357]E(f35(f35(x3571,f3(a2),x3572,x3573),f32(x3574),x3575,x3573),f35(f35(x3571,x3574,x3575,x3573),f3(a2),x3572,x3573))
% 0.92/1.06 [335]E(f45(x3351,x3352,f48(f48(a46,x3353),x3354),x3355),f48(f48(x3352,x3353),x3354))
% 0.92/1.06 [358]E(f48(f48(f48(f48(x3581,x3582),x3583),f44(x3584,x3581,x3582,x3585)),f44(x3584,x3581,x3583,x3585)),f44(x3584,x3581,f48(f48(a46,x3582),x3583),x3585))
% 0.92/1.06 [362]E(f22(x3621,f20(x3622,x3623,x3624),x3625,x3624,x3626),f48(f48(x3621,x3622),f22(x3621,x3623,x3625,x3624,x3626)))
% 0.92/1.06 [364]E(f21(x3641,f21(x3641,x3642,x3643,x3644,x3645),x3646,x3644,x3645),f21(x3641,x3642,f16(x3643,x3646,x3645),x3644,x3645))
% 0.92/1.06 [365]E(f22(x3651,x3652,f22(x3651,x3653,x3654,x3655,x3656),x3655,x3656),f22(x3651,f16(x3652,x3653,x3655),x3654,x3655,x3656))
% 0.92/1.06 [360]E(f21(x3601,x3602,f20(x3603,x3604,x3605),x3606,x3605),f21(x3601,f48(f48(x3601,x3602),x3603),x3604,x3606,x3605))
% 0.92/1.06 [403]~P7(x4031)+P7(f13(x4031))
% 0.92/1.06 [412]E(x4121,f3(a2))+P8(f3(a2),x4121,a2)
% 0.92/1.06 [450]E(x4501,f3(a2))+~P12(x4501,f3(a2),a2)
% 0.92/1.06 [404]~P56(x4041)+E(f27(f3(a2),x4041),f3(x4041))
% 0.92/1.06 [405]~P23(x4051)+E(f24(f19(x4051),x4051),f3(x4051))
% 0.92/1.06 [443]~P26(x4431)+E(f48(f48(f4(x4431),f3(x4431)),f3(x4431)),f3(x4431))
% 0.92/1.06 [484]E(x4841,f3(a2))+~P8(x4841,f32(f3(a2)),a2)
% 0.92/1.06 [893]~P46(x8931)+E(f48(f48(f4(x8931),f9(f3(x8931),f3(x8931),x8931)),f9(f3(x8931),f3(x8931),x8931)),f3(x8931))
% 0.92/1.06 [996]~P46(x9961)+P12(f48(f48(f4(x9961),f9(f3(x9961),f3(x9961),x9961)),f9(f3(x9961),f3(x9961),x9961)),f3(x9961),x9961)
% 0.92/1.06 [1014]~P46(x10141)+~P8(f3(x10141),f48(f48(f4(x10141),f9(f3(x10141),f3(x10141),x10141)),f9(f3(x10141),f3(x10141),x10141)),x10141)
% 0.92/1.06 [641]~P8(f3(a2),x6411,a2)+E(f32(f5(x6411,f32(f3(a2)),a2)),x6411)
% 0.92/1.06 [413]~P33(x4132)+P12(x4131,x4131,x4132)
% 0.92/1.06 [414]~P34(x4142)+P12(x4141,x4141,x4142)
% 0.92/1.06 [455]~P8(x4552,x4552,x4551)+~P3(x4551)
% 0.92/1.06 [456]~P8(x4562,x4562,x4561)+~P33(x4561)
% 0.92/1.06 [457]~P8(x4572,x4572,x4571)+~P34(x4571)
% 0.92/1.06 [483]P12(x4832,x4831,a2)+P12(x4831,x4832,a2)
% 0.92/1.06 [530]~P8(x5301,x5302,a2)+P12(x5301,x5302,a2)
% 0.92/1.06 [399]E(x3991,x3992)+~E(f32(x3991),f32(x3992))
% 0.92/1.06 [400]E(x4001,x4002)+~E(f11(x4001),f11(x4002))
% 0.92/1.06 [401]E(x4011,x4012)+~E(f34(x4011),f34(x4012))
% 0.92/1.06 [402]E(x4021,x4022)+~E(f13(x4021),f13(x4022))
% 0.92/1.06 [406]~P33(x4062)+P33(f52(x4061,x4062))
% 0.92/1.06 [407]~P34(x4072)+P34(f52(x4071,x4072))
% 0.92/1.06 [408]~P31(x4082)+P31(f52(x4081,x4082))
% 0.92/1.06 [409]~P7(x4091)+P7(f18(x4091,x4092))
% 0.92/1.06 [410]~P11(x4101,x4102)+P11(f13(x4101),f13(x4102))
% 0.92/1.06 [415]~P20(x4152)+E(f9(x4151,x4151,x4152),x4151)
% 0.92/1.06 [416]~P3(x4162)+E(f31(x4161,x4161,x4162),x4161)
% 0.92/1.06 [417]~P3(x4172)+E(f30(x4171,x4171,x4172),x4171)
% 0.92/1.06 [419]~P25(x4192)+E(f5(x4191,x4191,x4192),f3(x4192))
% 0.92/1.06 [420]~P17(x4202)+E(f5(x4201,x4201,x4202),f3(x4202))
% 0.92/1.06 [424]~P31(x4241)+P12(f10(x4241),x4242,x4241)
% 0.92/1.06 [459]~P36(x4591)+P12(f3(x4591),f27(x4592,x4591),x4591)
% 0.92/1.06 [496]P8(x4961,x4962,a2)+P8(x4962,f32(x4961),a2)
% 0.92/1.06 [498]P12(x4981,x4982,a2)+P12(f32(x4982),x4981,a2)
% 0.92/1.06 [531]~P12(x5311,x5312,a2)+E(f5(x5311,x5312,a2),f3(a2))
% 0.92/1.06 [535]P12(x5351,x5352,a2)+~E(f5(x5351,x5352,a2),f3(a2))
% 0.92/1.06 [536]~P8(x5361,x5362,a2)+P8(x5361,f32(x5362),a2)
% 0.92/1.06 [537]~P12(x5371,x5372,a2)+P8(x5371,f32(x5372),a2)
% 0.92/1.06 [539]~P12(x5391,x5392,a2)+P12(x5391,f32(x5392),a2)
% 0.92/1.06 [541]~P8(x5411,x5412,a2)+P12(f32(x5411),x5412,a2)
% 0.92/1.06 [542]~P36(x5421)+~P8(f27(x5422,x5421),f3(x5421),x5421)
% 0.92/1.06 [543]P12(x5431,x5432,a2)+~P8(x5431,f32(x5432),a2)
% 0.92/1.06 [544]P8(x5441,x5442,a2)+~P8(f32(x5441),x5442,a2)
% 0.92/1.06 [546]P8(x5461,x5462,a2)+~P12(f32(x5461),x5462,a2)
% 0.92/1.06 [547]P12(x5471,x5472,a2)+~P12(f32(x5471),x5472,a2)
% 0.92/1.06 [563]~P8(x5631,x5632,a2)+P8(f32(x5631),f32(x5632),a2)
% 0.92/1.06 [564]~P12(x5641,x5642,a2)+P12(f32(x5641),f32(x5642),a2)
% 0.92/1.06 [578]P8(x5781,x5782,a2)+~P8(f32(x5781),f32(x5782),a2)
% 0.92/1.06 [579]P12(x5791,x5792,a2)+~P12(f32(x5791),f32(x5792),a2)
% 0.92/1.06 [602]~P46(x6021)+P12(f3(x6021),f9(x6022,x6022,x6021),x6021)
% 0.92/1.06 [604]~P8(x6041,x6042,a2)+~P8(x6042,f32(x6041),a2)
% 0.92/1.06 [605]~P12(x6051,x6052,a2)+~P12(f32(x6052),x6051,a2)
% 0.92/1.06 [677]~P8(x6772,x6771,a2)+P8(f3(a2),f5(x6771,x6772,a2),a2)
% 0.92/1.06 [709]~P46(x7091)+~P8(f9(x7092,x7092,x7091),f3(x7091),x7091)
% 0.92/1.06 [717]P8(x7171,x7172,a2)+~P8(f3(a2),f5(x7172,x7171,a2),a2)
% 0.92/1.06 [718]P8(f3(a2),x7181,a2)+~P8(f3(a2),f9(x7182,x7181,a2),a2)
% 0.92/1.06 [719]P8(f3(a2),x7191,a2)+~P8(f3(a2),f9(x7191,x7192,a2),a2)
% 0.92/1.06 [421]~P5(x4211)+E(f48(f48(f4(x4211),x4212),f3(x4211)),x4212)
% 0.92/1.06 [422]~P37(x4221)+E(f48(f48(f4(x4221),x4222),f3(x4221)),x4222)
% 0.92/1.06 [423]~P23(x4231)+E(f48(f48(f4(x4231),x4232),f3(x4231)),x4232)
% 0.92/1.06 [425]~P25(x4252)+E(f5(x4251,f3(x4252),x4252),x4251)
% 0.92/1.06 [426]~P37(x4262)+E(f9(x4261,f3(x4262),x4262),f3(x4262))
% 0.92/1.06 [427]~P44(x4272)+E(f9(x4271,f3(x4272),x4272),f3(x4272))
% 0.92/1.06 [428]~P52(x4282)+E(f9(x4281,f3(x4282),x4282),f3(x4282))
% 0.92/1.06 [430]~P37(x4301)+E(f9(f3(x4301),x4302,x4301),f3(x4301))
% 0.92/1.06 [431]~P44(x4311)+E(f9(f3(x4311),x4312,x4311),f3(x4311))
% 0.92/1.06 [432]~P52(x4321)+E(f9(f3(x4321),x4322,x4321),f3(x4321))
% 0.92/1.06 [461]~P7(x4611)+P7(f48(f48(a12,x4611),f11(x4612)))
% 0.92/1.06 [473]P58(f48(x4731,x4732))+~P58(f48(x4731,f36(x4731)))
% 0.92/1.06 [479]E(x4791,f32(f3(a2)))+~E(f9(x4792,x4791,a2),f32(f3(a2)))
% 0.92/1.06 [480]E(x4801,f32(f3(a2)))+~E(f9(x4801,x4802,a2),f32(f3(a2)))
% 0.92/1.06 [485]~P8(x4851,x4852,a2)+E(f18(f11(x4851),x4852),f11(x4851))
% 0.92/1.06 [637]P8(x6372,x6371,a2)+E(f48(f48(f4(a2),x6371),f5(x6372,x6371,a2)),x6372)
% 0.92/1.06 [671]~P12(x6711,x6712,a2)+E(f48(f48(f4(a2),x6711),f5(x6712,x6711,a2)),x6712)
% 0.92/1.06 [676]~P12(x6762,x6761,a2)+E(f5(x6761,f5(x6761,x6762,a2),a2),x6762)
% 0.92/1.06 [679]~P12(x6792,x6791,a2)+E(f32(f5(x6791,x6792,a2)),f5(f32(x6791),x6792,a2))
% 0.92/1.06 [698]~P8(f3(a2),x6981,a2)+P8(f5(x6981,f32(x6982),a2),x6981,a2)
% 0.92/1.06 [767]P12(f32(f3(a2)),x7671,a2)+~P12(f32(f3(a2)),f9(x7672,x7671,a2),a2)
% 0.92/1.06 [768]P12(f32(f3(a2)),x7681,a2)+~P12(f32(f3(a2)),f9(x7681,x7682,a2),a2)
% 0.92/1.06 [1008]~P23(x10081)+E(f22(f4(x10081),x10082,f3(x10081),x10081,x10081),f24(x10082,x10081))
% 0.92/1.06 [1009]~P23(x10091)+E(f21(f4(x10091),f3(x10091),x10092,x10091,x10091),f24(x10092,x10091))
% 0.92/1.06 [1035]~P23(x10351)+E(f22(f4(x10351),x10352,f3(x10351),x10351,x10351),f21(f4(x10351),f3(x10351),x10352,x10351,x10351))
% 0.92/1.06 [433]~P5(x4331)+E(f48(f48(f4(x4331),f3(x4331)),x4332),x4332)
% 0.92/1.06 [435]~P37(x4351)+E(f48(f48(f4(x4351),f3(x4351)),x4352),x4352)
% 0.92/1.06 [436]~P23(x4361)+E(f48(f48(f4(x4361),f3(x4361)),x4362),x4362)
% 0.92/1.06 [440]E(x4401,f3(a2))+~E(f48(f48(f4(a2),x4402),x4401),x4402)
% 0.92/1.06 [441]E(x4411,f3(a2))+~E(f48(f48(f4(a2),x4412),x4411),f3(a2))
% 0.92/1.06 [442]E(x4421,f3(a2))+~E(f48(f48(f4(a2),x4421),x4422),f3(a2))
% 0.92/1.06 [773]~P12(x7732,x7731,a2)+E(f48(f48(f4(a2),f5(x7731,x7732,a2)),x7732),x7731)
% 0.92/1.06 [446]E(x4461,x4462)+~P13(x4461,x4462,x4463)
% 0.92/1.06 [447]~P11(x4471,x4473)+P11(f18(x4471,x4472),f18(x4473,x4472))
% 0.92/1.06 [453]~E(f16(x4533,x4531,x4532),x4533)+E(x4531,f19(x4532))
% 0.92/1.06 [454]~E(f16(x4541,x4543,x4542),x4543)+E(x4541,f19(x4542))
% 0.92/1.06 [463]~E(f23(x4631,x4632,x4633),f19(x4633))+E(x4631,f3(a2))
% 0.92/1.06 [471]~E(f16(x4713,x4711,x4712),f19(x4712))+E(x4711,f19(x4712))
% 0.92/1.06 [472]~E(f16(x4721,x4723,x4722),f19(x4722))+E(x4721,f19(x4722))
% 0.92/1.06 [492]~P10(x4921,f11(x4922),x4923)+E(f48(x4921,x4922),x4923)
% 0.92/1.06 [501]~P37(x5013)+E(f9(x5011,x5012,x5013),f9(x5012,x5011,x5013))
% 0.92/1.06 [502]~P3(x5023)+E(f31(x5021,x5022,x5023),f31(x5022,x5021,x5023))
% 0.92/1.06 [503]~P3(x5033)+E(f30(x5031,x5032,x5033),f30(x5032,x5031,x5033))
% 0.92/1.06 [584]~P3(x5843)+P12(x5841,f30(x5842,x5841,x5843),x5843)
% 0.92/1.06 [585]~P3(x5853)+P12(x5851,f30(x5851,x5852,x5853),x5853)
% 0.92/1.06 [586]~P3(x5863)+P12(f31(x5861,x5862,x5863),x5862,x5863)
% 0.92/1.06 [587]~P3(x5873)+P12(f31(x5871,x5872,x5873),x5871,x5873)
% 0.92/1.06 [674]~P8(x6741,x6743,a2)+P8(f5(x6741,x6742,a2),x6743,a2)
% 0.92/1.06 [737]P12(f9(x7372,x7371,a2),f9(x7373,x7371,a2),a2)+P8(f3(a2),x7371,a2)
% 0.92/1.06 [738]P12(f9(x7381,x7382,a2),f9(x7381,x7383,a2),a2)+P8(f3(a2),x7381,a2)
% 0.92/1.06 [784]~P12(x7841,x7843,a2)+P12(f9(x7841,x7842,a2),f9(x7843,x7842,a2),a2)
% 0.92/1.06 [786]~P12(x7862,x7863,a2)+P12(f9(x7861,x7862,a2),f9(x7861,x7863,a2),a2)
% 0.92/1.06 [787]~P12(x7871,x7873,a2)+P12(f5(x7871,x7872,a2),f5(x7873,x7872,a2),a2)
% 0.92/1.06 [788]~P12(x7883,x7882,a2)+P12(f5(x7881,x7882,a2),f5(x7881,x7883,a2),a2)
% 0.92/1.06 [914]P8(x9141,x9142,a2)+~P8(f9(x9143,x9141,a2),f9(x9143,x9142,a2),a2)
% 0.92/1.06 [915]P8(x9151,x9152,a2)+~P8(f9(x9151,x9153,a2),f9(x9152,x9153,a2),a2)
% 0.92/1.06 [916]~P8(f9(x9162,x9161,a2),f9(x9163,x9161,a2),a2)+P8(f3(a2),x9161,a2)
% 0.92/1.06 [917]~P8(f9(x9171,x9172,a2),f9(x9171,x9173,a2),a2)+P8(f3(a2),x9171,a2)
% 0.92/1.06 [1024]E(x10241,f13(x10242))+~E(f21(a12,x10241,x10243,a49,a49),f13(x10242))
% 0.92/1.06 [1025]E(f11(x10251),x10252)+~E(f11(x10251),f21(a12,x10252,x10253,a49,a49))
% 0.92/1.06 [1026]E(f13(x10261),x10262)+~E(f13(x10261),f21(a12,x10262,x10263,a49,a49))
% 0.92/1.06 [1056]E(x10561,x10562)+~E(f21(a12,x10561,x10563,a49,a49),f21(a12,x10562,x10563,a49,a49))
% 0.92/1.06 [1064]~P11(x10641,x10643)+P11(f21(a12,x10641,x10642,a49,a49),f21(a12,x10643,x10642,a49,a49))
% 0.92/1.06 [523]~P7(x5231)+P7(f17(x5231,f11(x5232),x5233))
% 0.92/1.06 [553]~P8(x5531,x5533,a2)+E(f17(f11(x5531),x5532,x5533),f11(x5531))
% 0.92/1.06 [588]~P3(x5883)+E(f31(x5881,f30(x5881,x5882,x5883),x5883),x5881)
% 0.92/1.06 [589]~P3(x5893)+E(f30(x5891,f31(x5891,x5892,x5893),x5893),x5891)
% 0.92/1.06 [616]~P11(x6161,x6163)+P11(f48(f48(a12,x6161),x6162),f48(f48(a12,x6163),x6162))
% 0.92/1.06 [617]~P11(x6172,x6173)+P11(f48(f48(a12,x6171),x6172),f48(f48(a12,x6171),x6173))
% 0.92/1.06 [626]E(x6261,x6262)+~E(f9(f32(x6263),x6261,a2),f9(f32(x6263),x6262,a2))
% 0.92/1.06 [638]~P23(x6381)+E(f48(f48(f4(x6381),x6382),f24(x6383,x6381)),f24(f20(x6382,x6383,x6381),x6381))
% 0.92/1.06 [642]~P20(x6423)+E(f9(x6421,f9(x6421,x6422,x6423),x6423),f9(x6421,x6422,x6423))
% 0.92/1.06 [643]~P3(x6433)+E(f31(x6431,f31(x6431,x6432,x6433),x6433),f31(x6431,x6432,x6433))
% 0.92/1.06 [644]~P3(x6443)+E(f30(x6441,f30(x6441,x6442,x6443),x6443),f30(x6441,x6442,x6443))
% 0.92/1.06 [656]~P2(x6563)+E(f9(x6561,f33(x6561,x6562,x6563),x6563),f33(x6561,f32(x6562),x6563))
% 0.92/1.06 [659]~P22(x6593)+E(f9(f33(x6591,x6592,x6593),x6591,x6593),f33(x6591,f32(x6592),x6593))
% 0.92/1.06 [660]~P37(x6603)+E(f9(x6601,f33(x6601,x6602,x6603),x6603),f33(x6601,f32(x6602),x6603))
% 0.92/1.06 [661]~P37(x6613)+E(f9(f33(x6611,x6612,x6613),x6611,x6613),f33(x6611,f32(x6612),x6613))
% 0.92/1.06 [662]~P56(x6622)+E(f9(f27(x6621,x6622),f27(x6623,x6622),x6622),f27(f9(x6621,x6623,a2),x6622))
% 0.92/1.06 [699]~P23(x6991)+E(f48(f48(f4(x6991),f24(x6992,x6991)),f24(x6993,x6991)),f24(f16(x6992,x6993,x6991),x6991))
% 0.92/1.06 [763]~P22(x7633)+E(f9(f33(x7631,x7632,x7633),x7631,x7633),f9(x7631,f33(x7631,x7632,x7633),x7633))
% 0.92/1.06 [830]~P8(x8302,x8303,a2)+P8(f9(f32(x8301),x8302,a2),f9(f32(x8301),x8303,a2),a2)
% 0.92/1.06 [892]~P10(x8922,f13(x8923),x8921)+E(f48(f48(a46,f41(x8921,x8922,x8923)),f43(x8921,x8922,x8923)),x8921)
% 0.92/1.06 [933]P12(x9331,x9332,a2)+~P12(f9(f32(x9333),x9331,a2),f9(f32(x9333),x9332,a2),a2)
% 0.92/1.06 [986]~P10(x9861,f13(x9862),x9863)+P10(f35(x9861,f3(a2),f37(x9861,x9862),a51),x9862,f38(x9861,x9862))
% 0.92/1.06 [991]~P46(x9911)+P12(f3(x9911),f48(f48(f4(x9911),f9(x9912,x9912,x9911)),f9(x9913,x9913,x9911)),x9911)
% 0.92/1.06 [997]~P10(x9971,f13(x9973),x9972)+P10(f35(x9971,f3(a2),f41(x9972,x9971,x9973),a51),x9973,f43(x9972,x9971,x9973))
% 0.92/1.06 [1010]~P46(x10101)+~P8(f48(f48(f4(x10101),f9(x10102,x10102,x10101)),f9(x10103,x10103,x10101)),f3(x10101),x10101)
% 0.92/1.06 [1034]~P16(x10341)+E(f22(f4(x10341),x10342,x10343,x10341,x10341),f21(f4(x10341),x10343,x10342,x10341,x10341))
% 0.92/1.06 [493]~P5(x4931)+E(f48(f48(f4(x4931),x4932),x4933),f48(f48(f4(x4931),x4933),x4932))
% 0.92/1.06 [495]~P37(x4951)+E(f48(f48(f4(x4951),x4952),x4953),f48(f48(f4(x4951),x4953),x4952))
% 0.92/1.06 [549]E(x5491,x5492)+~E(f48(f48(f4(a2),x5493),x5491),f48(f48(f4(a2),x5493),x5492))
% 0.92/1.06 [550]E(x5501,x5502)+~E(f48(f48(f4(a2),x5501),x5503),f48(f48(f4(a2),x5502),x5503))
% 0.92/1.06 [646]~P8(x6461,x6463,a2)+P8(x6461,f48(f48(f4(a2),x6462),x6463),a2)
% 0.92/1.06 [648]~P8(x6481,x6482,a2)+P8(x6481,f48(f48(f4(a2),x6482),x6483),a2)
% 0.92/1.06 [650]~P12(x6501,x6503,a2)+P12(x6501,f48(f48(f4(a2),x6502),x6503),a2)
% 0.92/1.06 [652]~P12(x6521,x6522,a2)+P12(x6521,f48(f48(f4(a2),x6522),x6523),a2)
% 0.92/1.06 [710]~P25(x7101)+E(f48(f48(f4(x7101),f5(x7102,x7103,x7101)),x7103),x7102)
% 0.92/1.06 [711]P8(x7111,x7112,a2)+~P8(f48(f48(f4(a2),x7111),x7113),x7112,a2)
% 0.92/1.06 [712]P12(x7121,x7122,a2)+~P12(f48(f48(f4(a2),x7123),x7121),x7122,a2)
% 0.92/1.06 [713]P12(x7131,x7132,a2)+~P12(f48(f48(f4(a2),x7131),x7133),x7132,a2)
% 0.92/1.06 [739]~P8(x7391,x7393,a2)+P8(f48(f48(f4(a2),x7391),x7392),f48(f48(f4(a2),x7393),x7392),a2)
% 0.92/1.06 [740]~P8(x7402,x7403,a2)+P8(f48(f48(f4(a2),x7401),x7402),f48(f48(f4(a2),x7401),x7403),a2)
% 0.92/1.06 [741]~P12(x7411,x7413,a2)+P12(f48(f48(f4(a2),x7411),x7412),f48(f48(f4(a2),x7413),x7412),a2)
% 0.92/1.06 [742]~P12(x7422,x7423,a2)+P12(f48(f48(f4(a2),x7421),x7422),f48(f48(f4(a2),x7421),x7423),a2)
% 0.92/1.06 [841]P8(x8411,f5(x8412,x8413,a2),a2)+~P8(f48(f48(f4(a2),x8411),x8413),x8412,a2)
% 0.92/1.06 [842]P12(f5(x8421,x8422,a2),x8423,a2)+~P12(x8421,f48(f48(f4(a2),x8423),x8422),a2)
% 0.92/1.06 [845]~P12(f5(x8451,x8453,a2),x8452,a2)+P12(x8451,f48(f48(f4(a2),x8452),x8453),a2)
% 0.92/1.06 [846]~P8(x8461,f5(x8463,x8462,a2),a2)+P8(f48(f48(f4(a2),x8461),x8462),x8463,a2)
% 0.92/1.06 [866]P8(x8661,x8662,a2)+~P8(f48(f48(f4(a2),x8663),x8661),f48(f48(f4(a2),x8663),x8662),a2)
% 0.92/1.06 [867]P12(x8671,x8672,a2)+~P12(f48(f48(f4(a2),x8673),x8671),f48(f48(f4(a2),x8673),x8672),a2)
% 0.92/1.06 [930]~P12(x9302,x9303,a2)+E(f5(f48(f48(f4(a2),x9301),x9302),f32(x9303),a2),f5(x9301,f32(f5(x9303,x9302,a2)),a2))
% 0.92/1.06 [1019]P58(f48(x10191,x10192))+~P58(f48(x10191,f26(x10192,x10193,f3(a2),a50)))
% 0.92/1.06 [1054]~P23(x10541)+E(f48(f48(f4(x10541),x10542),f22(f4(x10541),x10543,f3(x10541),x10541,x10541)),f21(f4(x10541),x10542,x10543,x10541,x10541))
% 0.92/1.06 [1055]~P23(x10551)+E(f48(f48(f4(x10551),x10552),f21(f4(x10551),f3(x10551),x10553,x10551,x10551)),f21(f4(x10551),x10552,x10553,x10551,x10551))
% 0.92/1.06 [582]~P25(x5821)+E(f5(f48(f48(f4(x5821),x5822),x5823),x5823,x5821),x5822)
% 0.92/1.06 [675]~P56(x6751)+E(f48(f48(f4(x6751),f27(x6752,x6751)),f27(x6753,x6751)),f27(f48(f48(f4(a2),x6752),x6753),x6751))
% 0.92/1.06 [840]~P12(x8403,x8402,a2)+E(f5(f48(f48(f4(a2),x8401),x8402),x8403,a2),f48(f48(f4(a2),x8401),f5(x8402,x8403,a2)))
% 0.92/1.06 [843]~P12(x8432,x8433,a2)+E(f5(f48(f48(f4(a2),x8431),x8432),x8433,a2),f5(x8431,f5(x8433,x8432,a2),a2))
% 0.92/1.06 [868]~P12(x8683,x8682,a2)+P12(x8681,f5(f48(f48(f4(a2),x8682),x8681),x8683,a2),a2)
% 0.92/1.06 [926]~P12(x9263,x9261,a2)+E(f5(f48(f48(f4(a2),x9261),x9262),x9263,a2),f48(f48(f4(a2),f5(x9261,x9263,a2)),x9262))
% 0.92/1.06 [931]~P12(x9312,x9311,a2)+E(f5(f32(x9311),f48(f48(f4(a2),x9312),x9313),a2),f5(f32(f5(x9311,x9312,a2)),x9313,a2))
% 0.92/1.06 [999]P58(f48(x9991,x9992))+~P58(f48(x9991,f5(f48(f48(f4(a2),x9993),x9992),x9993,a2)))
% 0.92/1.06 [595]E(x5951,x5952)+~E(f16(x5953,x5951,x5954),f16(x5953,x5952,x5954))
% 0.92/1.06 [596]E(x5961,x5962)+~E(f16(x5961,x5963,x5964),f16(x5962,x5963,x5964))
% 0.92/1.06 [678]~P11(x6781,x6784)+P11(f17(x6781,x6782,x6783),f17(x6784,x6782,x6783))
% 0.92/1.06 [1062]P14(x10621,x10622,f39(x10623,x10621,x10624,x10622))+~P10(x10621,f21(a12,x10624,x10622,a49,a49),x10623)
% 0.92/1.06 [1063]P14(x10631,x10632,f40(x10633,x10631,x10634,x10632))+~P10(x10631,f21(a12,x10634,x10632,a49,a49),x10633)
% 0.92/1.06 [509]E(x5091,x5092)+~E(f48(f48(a12,x5093),x5091),f48(f48(a12,x5094),x5092))
% 0.92/1.06 [510]E(x5101,x5102)+~E(f48(f48(a46,x5103),x5101),f48(f48(a46,x5104),x5102))
% 0.92/1.06 [511]E(x5111,x5112)+~E(f48(f48(a12,x5111),x5113),f48(f48(a12,x5112),x5114))
% 0.92/1.06 [512]E(x5121,x5122)+~E(f48(f48(a46,x5121),x5123),f48(f48(a46,x5122),x5124))
% 0.92/1.06 [754]~P37(x7543)+E(f33(f33(x7541,x7542,x7543),x7544,x7543),f33(x7541,f9(x7542,x7544,a2),x7543))
% 0.92/1.06 [755]~P22(x7553)+E(f33(f33(x7551,x7552,x7553),x7554,x7553),f33(x7551,f9(x7552,x7554,a2),x7553))
% 0.92/1.06 [756]~P37(x7564)+E(f9(x7561,f9(x7562,x7563,x7564),x7564),f9(x7562,f9(x7561,x7563,x7564),x7564))
% 0.92/1.06 [757]~P3(x7574)+E(f31(x7571,f31(x7572,x7573,x7574),x7574),f31(x7572,f31(x7571,x7573,x7574),x7574))
% 0.92/1.06 [758]~P3(x7584)+E(f30(x7581,f30(x7582,x7583,x7584),x7584),f30(x7582,f30(x7581,x7583,x7584),x7584))
% 0.92/1.06 [761]~P37(x7613)+E(f9(f9(x7611,x7612,x7613),x7614,x7613),f9(x7611,f9(x7612,x7614,x7613),x7613))
% 0.92/1.06 [762]~P19(x7623)+E(f9(f9(x7621,x7622,x7623),x7624,x7623),f9(x7621,f9(x7622,x7624,x7623),x7623))
% 0.92/1.06 [764]~P3(x7643)+E(f31(f31(x7641,x7642,x7643),x7644,x7643),f31(x7641,f31(x7642,x7644,x7643),x7643))
% 0.92/1.06 [765]~P3(x7653)+E(f30(f30(x7651,x7652,x7653),x7654,x7653),f30(x7651,f30(x7652,x7654,x7653),x7653))
% 0.92/1.06 [766]~P37(x7663)+E(f9(f9(x7661,x7662,x7663),x7664,x7663),f9(f9(x7661,x7664,x7663),x7662,x7663))
% 0.92/1.06 [880]~P3(x8803)+E(f30(f31(x8801,x8802,x8803),f31(x8801,x8804,x8803),x8803),f31(x8801,f30(x8802,x8804,x8803),x8803))
% 0.92/1.06 [881]~P3(x8813)+E(f31(f30(x8811,x8812,x8813),f30(x8811,x8814,x8813),x8813),f30(x8811,f31(x8812,x8814,x8813),x8813))
% 0.92/1.06 [882]~P28(x8823)+E(f31(f5(x8821,x8822,x8823),f5(x8824,x8822,x8823),x8823),f5(f31(x8821,x8824,x8823),x8822,x8823))
% 0.92/1.06 [883]~P28(x8833)+E(f30(f5(x8831,x8832,x8833),f5(x8834,x8832,x8833),x8833),f5(f30(x8831,x8834,x8833),x8832,x8833))
% 0.92/1.06 [884]~P37(x8843)+E(f9(f33(x8841,x8842,x8843),f33(x8844,x8842,x8843),x8843),f33(f9(x8841,x8844,x8843),x8842,x8843))
% 0.92/1.06 [885]~P24(x8853)+E(f9(f33(x8851,x8852,x8853),f33(x8854,x8852,x8853),x8853),f33(f9(x8851,x8854,x8853),x8852,x8853))
% 0.92/1.06 [886]~P3(x8863)+E(f30(f31(x8861,x8862,x8863),f31(x8864,x8862,x8863),x8863),f31(f30(x8861,x8864,x8863),x8862,x8863))
% 0.92/1.06 [887]~P3(x8873)+E(f31(f30(x8871,x8872,x8873),f30(x8874,x8872,x8873),x8873),f30(f31(x8871,x8874,x8873),x8872,x8873))
% 0.92/1.06 [988]P10(x9881,x9882,f42(x9883,x9881,x9884,x9882))+~P10(x9881,f48(f48(a12,x9884),x9882),x9883)
% 0.92/1.06 [994]~P3(x9944)+P12(f30(x9941,f31(x9942,x9943,x9944),x9944),f31(f30(x9941,x9942,x9944),f30(x9941,x9943,x9944),x9944),x9944)
% 0.92/1.06 [995]~P3(x9953)+P12(f30(f31(x9951,x9952,x9953),f31(x9951,x9954,x9953),x9953),f31(x9951,f30(x9952,x9954,x9953),x9953),x9953)
% 0.92/1.06 [1000]P10(x10001,f13(x10002),f48(f48(a46,x10003),x10004))+~P10(f35(x10001,f3(a2),x10003,a51),x10002,x10004)
% 0.92/1.06 [1058]E(x10581,x10582)+~E(f21(a12,f11(x10583),x10581,a49,a49),f21(a12,f11(x10584),x10582,a49,a49))
% 0.92/1.06 [1059]E(x10591,x10592)+~E(f21(a12,f13(x10593),x10591,a49,a49),f21(a12,f13(x10594),x10592,a49,a49))
% 0.92/1.06 [1060]E(x10601,x10602)+~E(f21(a12,f11(x10601),x10603,a49,a49),f21(a12,f11(x10602),x10604,a49,a49))
% 0.92/1.06 [1061]E(x10611,x10612)+~E(f21(a12,f13(x10611),x10613,a49,a49),f21(a12,f13(x10612),x10614,a49,a49))
% 0.92/1.06 [1067]~P10(x10671,f21(a12,x10672,x10674,a49,a49),x10673)+P10(x10671,x10672,f22(a46,f39(x10673,x10671,x10672,x10674),x10673,a51,a51))
% 0.92/1.06 [1068]~P10(x10681,f21(a12,x10682,x10684,a49,a49),x10683)+P10(x10681,x10682,f22(a46,f40(x10683,x10681,x10682,x10684),x10683,a51,a51))
% 0.92/1.06 [1021]P58(f48(x10211,f48(x10212,x10213)))+~P58(f48(x10211,f26(x10214,x10212,f32(x10213),a50)))
% 0.92/1.06 [1023]P58(f48(x10231,f48(x10232,x10233)))+~P58(f48(x10231,f45(x10232,x10234,f34(x10233),a50)))
% 0.92/1.06 [1033]~P10(x10331,f48(f48(a12,x10332),x10334),x10333)+P10(x10331,x10332,f48(f48(a46,f42(x10333,x10331,x10332,x10334)),x10333))
% 0.92/1.06 [722]~P5(x7221)+E(f48(f48(f4(x7221),x7222),f48(f48(f4(x7221),x7223),x7224)),f48(f48(f4(x7221),x7223),f48(f48(f4(x7221),x7222),x7224)))
% 0.92/1.06 [723]~P37(x7231)+E(f48(f48(f4(x7231),x7232),f48(f48(f4(x7231),x7233),x7234)),f48(f48(f4(x7231),x7233),f48(f48(f4(x7231),x7232),x7234)))
% 0.92/1.06 [724]~P17(x7241)+E(f48(f48(f4(x7241),x7242),f48(f48(f4(x7241),x7243),x7244)),f48(f48(f4(x7241),x7243),f48(f48(f4(x7241),x7242),x7244)))
% 0.92/1.06 [864]~P37(x8643)+E(f9(f33(x8641,x8642,x8643),f33(x8641,x8644,x8643),x8643),f33(x8641,f48(f48(f4(a2),x8642),x8644),x8643))
% 0.92/1.06 [865]~P22(x8653)+E(f9(f33(x8651,x8652,x8653),f33(x8651,x8654,x8653),x8653),f33(x8651,f48(f48(f4(a2),x8652),x8654),x8653))
% 0.92/1.06 [938]~P4(x9381)+E(f31(f48(f48(f4(x9381),x9382),x9383),f48(f48(f4(x9381),x9384),x9383),x9381),f48(f48(f4(x9381),f31(x9382,x9384,x9381)),x9383))
% 0.92/1.06 [939]~P4(x9391)+E(f30(f48(f48(f4(x9391),x9392),x9393),f48(f48(f4(x9391),x9394),x9393),x9391),f48(f48(f4(x9391),f30(x9392,x9394,x9391)),x9393))
% 0.92/1.06 [940]~P37(x9401)+E(f48(f48(f4(x9401),f9(x9402,x9403,x9401)),f9(x9402,x9404,x9401)),f9(x9402,f48(f48(f4(x9401),x9403),x9404),x9401))
% 0.92/1.06 [942]~P38(x9421)+E(f48(f48(f4(x9421),f9(x9422,x9423,x9421)),f9(x9424,x9423,x9421)),f9(f48(f48(f4(x9421),x9422),x9424),x9423,x9421))
% 0.92/1.06 [943]~P37(x9431)+E(f48(f48(f4(x9431),f9(x9432,x9433,x9431)),f9(x9434,x9433,x9431)),f9(f48(f48(f4(x9431),x9432),x9434),x9433,x9431))
% 0.92/1.06 [1057]~P32(x10571)+E(f21(f4(x10571),f48(f48(f4(x10571),x10572),x10573),x10574,x10571,x10571),f48(f48(f4(x10571),x10572),f21(f4(x10571),x10573,x10574,x10571,x10571)))
% 0.92/1.06 [861]~P5(x8611)+E(f48(f48(f4(x8611),f48(f48(f4(x8611),x8612),x8613)),x8614),f48(f48(f4(x8611),x8612),f48(f48(f4(x8611),x8613),x8614)))
% 0.92/1.06 [862]~P37(x8621)+E(f48(f48(f4(x8621),f48(f48(f4(x8621),x8622),x8623)),x8624),f48(f48(f4(x8621),x8622),f48(f48(f4(x8621),x8623),x8624)))
% 0.92/1.06 [863]~P16(x8631)+E(f48(f48(f4(x8631),f48(f48(f4(x8631),x8632),x8633)),x8634),f48(f48(f4(x8631),x8632),f48(f48(f4(x8631),x8633),x8634)))
% 0.92/1.06 [936]~P37(x9361)+E(f48(f48(f4(x9361),f48(f48(f4(x9361),x9362),x9363)),x9364),f48(f48(f4(x9361),f48(f48(f4(x9361),x9362),x9364)),x9363))
% 0.92/1.06 [1030]~P12(x10301,x10303,a2)+E(f48(f48(f4(a2),f9(x10301,x10302,a2)),f48(f48(f4(a2),f9(f5(x10303,x10301,a2),x10302,a2)),x10304)),f48(f48(f4(a2),f9(x10303,x10302,a2)),x10304))
% 0.92/1.06 [594]E(x5941,x5942)+~E(f20(x5943,x5941,x5944),f20(x5945,x5942,x5944))
% 0.92/1.06 [597]E(x5971,x5972)+~E(f23(x5971,x5973,x5974),f23(x5972,x5975,x5974))
% 0.92/1.06 [598]E(x5981,x5982)+~E(f20(x5981,x5983,x5984),f20(x5982,x5985,x5984))
% 0.92/1.06 [985]~P10(x9851,x9854,x9855)+P10(f35(x9851,x9852,x9853,a51),f18(x9854,x9852),x9855)
% 0.92/1.06 [946]~P37(x9463)+E(f9(f9(x9461,x9462,x9463),f9(x9464,x9465,x9463),x9463),f9(f9(x9461,x9464,x9463),f9(x9462,x9465,x9463),x9463))
% 0.92/1.06 [973]~P8(x9735,x9732,a2)+E(f48(f35(x9731,x9732,x9733,x9734),x9735),f48(x9731,x9735))
% 0.92/1.06 [952]E(x9521,x9522)+~E(f16(x9523,f20(x9521,f19(x9524),x9524),x9524),f16(x9525,f20(x9522,f19(x9524),x9524),x9524))
% 0.92/1.06 [953]E(x9531,x9532)+~E(f16(x9531,f20(x9533,f19(x9534),x9534),x9534),f16(x9532,f20(x9535,f19(x9534),x9534),x9534))
% 0.92/1.06 [987]~P37(x9871)+E(f48(f48(f4(x9871),f48(f48(f4(x9871),x9872),x9873)),f48(f48(f4(x9871),x9874),x9875)),f48(f48(f4(x9871),f48(f48(f4(x9871),x9872),x9874)),f48(f48(f4(x9871),x9873),x9875)))
% 0.92/1.06 [1032]P58(f48(x10321,f48(f48(x10322,x10323),x10324)))+~P58(f48(x10321,f45(x10325,x10322,f48(f48(a46,x10323),x10324),a50)))
% 0.92/1.06 [1028]~P55(x10281)+E(f48(f48(f4(x10281),f9(x10282,x10283,x10281)),f48(f48(f4(x10281),f9(f5(x10284,x10282,x10281),x10283,x10281)),x10285)),f48(f48(f4(x10281),f9(x10284,x10283,x10281)),x10285))
% 0.92/1.06 [1036]~P12(x10361,x10364,a2)+E(f5(f48(f48(f4(a2),f9(x10361,x10362,a2)),x10363),f48(f48(f4(a2),f9(x10364,x10362,a2)),x10365),a2),f5(x10363,f48(f48(f4(a2),f9(f5(x10364,x10361,a2),x10362,a2)),x10365),a2))
% 0.92/1.06 [1037]~P12(x10374,x10371,a2)+E(f5(f48(f48(f4(a2),f9(x10371,x10372,a2)),x10373),f48(f48(f4(a2),f9(x10374,x10372,a2)),x10375),a2),f5(f48(f48(f4(a2),f9(f5(x10371,x10374,a2),x10372,a2)),x10373),x10375,a2))
% 0.92/1.06 [1013]~P48(x10131)+E(f48(f48(f4(x10131),f9(x10132,x10133,x10131)),f48(f48(f4(x10131),f9(x10134,x10133,x10131)),x10135)),f48(f48(f4(x10131),f9(f48(f48(f4(x10131),x10132),x10134),x10133,x10131)),x10135))
% 0.92/1.06 [1071]~P9(x10714,x10711,x10715,x10716,x10712,x10717)+E(f48(f48(x10711,x10712),x10713),x10713)
% 0.92/1.06 [1072]~P9(x10724,x10721,x10725,x10723,x10726,x10727)+E(f48(f48(x10721,x10722),x10723),x10723)
% 0.92/1.06 [1074]~P9(x10741,x10744,x10745,x10742,x10746,x10747)+E(f48(f48(x10741,x10742),x10743),x10743)
% 0.92/1.06 [1075]~P9(x10754,x10751,x10755,x10756,x10753,x10757)+E(f48(f48(x10751,x10752),x10753),x10752)
% 0.92/1.06 [1077]~P9(x10774,x10771,x10775,x10772,x10776,x10777)+E(f48(f48(x10771,x10772),x10773),x10772)
% 0.92/1.06 [1078]~P9(x10781,x10784,x10785,x10783,x10786,x10787)+E(f48(f48(x10781,x10782),x10783),x10782)
% 0.92/1.06 [1079]~P9(x10794,x10795,x10791,x10796,x10793,x10797)+E(f48(f48(x10791,x10792),f3(a2)),x10793)
% 0.92/1.06 [1087]~P9(x10871,x10873,x10875,x10876,x10874,x10877)+E(f48(f48(x10871,x10872),x10872),f48(f48(x10873,f48(f48(x10871,x10874),x10874)),x10872))
% 0.92/1.06 [1081]~P9(x10814,x10811,x10815,x10816,x10817,x10818)+E(f48(f48(x10811,x10812),x10813),f48(f48(x10811,x10813),x10812))
% 0.92/1.06 [1083]~P9(x10831,x10834,x10835,x10836,x10837,x10838)+E(f48(f48(x10831,x10832),x10833),f48(f48(x10831,x10833),x10832))
% 0.92/1.06 [1086]~P9(x10865,x10861,x10863,x10866,x10867,x10868)+E(f48(f48(x10861,x10862),f48(f48(x10863,x10862),x10864)),f48(f48(x10863,x10862),f32(x10864)))
% 0.92/1.06 [1090]~P9(x10905,x10901,x10902,x10906,x10907,x10908)+E(f48(f48(x10901,f48(f48(x10902,x10903),x10904)),x10903),f48(f48(x10902,x10903),f32(x10904)))
% 0.92/1.06 [1091]~P9(x10911,x10913,x10916,x10917,x10915,x10918)+E(f48(f48(x10911,x10912),f48(f48(x10913,x10914),x10912)),f48(f48(x10913,f48(f48(x10911,x10914),x10915)),x10912))
% 0.92/1.06 [1099]~P9(x10991,x10992,x10996,x10997,x10995,x10998)+E(f48(f48(x10991,f48(f48(x10992,x10993),x10994)),x10994),f48(f48(x10992,f48(f48(x10991,x10993),x10995)),x10994))
% 0.92/1.06 [1088]~P9(x10885,x10881,x10886,x10887,x10888,x10889)+E(f48(f48(x10881,x10882),f48(f48(x10881,x10883),x10884)),f48(f48(x10881,x10883),f48(f48(x10881,x10882),x10884)))
% 0.92/1.06 [1089]~P9(x10891,x10895,x10896,x10897,x10898,x10899)+E(f48(f48(x10891,x10892),f48(f48(x10891,x10893),x10894)),f48(f48(x10891,x10893),f48(f48(x10891,x10892),x10894)))
% 0.92/1.06 [1102]~P9(x11021,x11022,x11026,x11027,x11028,x11029)+E(f48(f48(x11021,f48(f48(x11022,x11023),x11024)),f48(f48(x11022,x11023),x11025)),f48(f48(x11022,x11023),f48(f48(x11021,x11024),x11025)))
% 0.92/1.06 [1096]~P9(x10965,x10961,x10966,x10967,x10968,x10969)+E(f48(f48(x10961,f48(f48(x10961,x10962),x10963)),x10964),f48(f48(x10961,x10962),f48(f48(x10961,x10963),x10964)))
% 0.92/1.06 [1097]~P9(x10971,x10975,x10976,x10977,x10978,x10979)+E(f48(f48(x10971,f48(f48(x10971,x10972),x10973)),x10974),f48(f48(x10971,x10972),f48(f48(x10971,x10973),x10974)))
% 0.92/1.06 [1098]~P9(x10985,x10986,x10981,x10987,x10988,x10989)+E(f48(f48(x10981,f48(f48(x10981,x10982),x10983)),x10984),f48(f48(x10981,x10982),f9(x10983,x10984,a2)))
% 0.92/1.06 [1100]~P9(x11005,x11001,x11006,x11007,x11008,x11009)+E(f48(f48(x11001,f48(f48(x11001,x11002),x11003)),x11004),f48(f48(x11001,f48(f48(x11001,x11002),x11004)),x11003))
% 0.92/1.06 [1101]~P9(x11011,x11015,x11016,x11017,x11018,x11019)+E(f48(f48(x11011,f48(f48(x11011,x11012),x11013)),x11014),f48(f48(x11011,f48(f48(x11011,x11012),x11014)),x11013))
% 0.92/1.06 [1103]~P9(x11036,x11031,x11032,x11037,x11038,x11039)+E(f48(f48(x11031,f48(f48(x11032,x11033),x11034)),f48(f48(x11032,x11033),x11035)),f48(f48(x11032,x11033),f48(f48(f4(a2),x11034),x11035)))
% 0.92/1.06 [1104]~P9(x11046,x11041,x11042,x11047,x11048,x11049)+E(f48(f48(x11041,f48(f48(x11042,x11043),x11044)),f48(f48(x11042,x11045),x11044)),f48(f48(x11042,f48(f48(x11041,x11043),x11045)),x11044))
% 0.92/1.06 [1106]~P9(x11061,x11062,x11066,x11067,x11068,x11069)+E(f48(f48(x11061,f48(f48(x11062,x11063),x11064)),f48(f48(x11062,x11065),x11064)),f48(f48(x11062,f48(f48(x11061,x11063),x11065)),x11064))
% 0.92/1.06 [1108]~P9(x11086,x11081,x11087,x11088,x11089,x110810)+E(f48(f48(x11081,f48(f48(x11081,x11082),x11083)),f48(f48(x11081,x11084),x11085)),f48(f48(x11081,f48(f48(x11081,x11082),x11084)),f48(f48(x11081,x11083),x11085)))
% 0.92/1.06 [1109]~P9(x11091,x11096,x11097,x11098,x11099,x110910)+E(f48(f48(x11091,f48(f48(x11091,x11092),x11093)),f48(f48(x11091,x11094),x11095)),f48(f48(x11091,f48(f48(x11091,x11092),x11094)),f48(f48(x11091,x11093),x11095)))
% 0.92/1.06 [625]~P29(x6251)+~P12(f3(x6251),f3(x6251),x6251)+E(f48(f48(f4(x6251),f3(x6251)),f3(x6251)),f3(x6251))
% 0.92/1.06 [488]E(x4881,x4882)+P8(x4882,x4881,a2)+P8(x4881,x4882,a2)
% 0.92/1.06 [534]E(x5341,x5342)+P8(x5341,x5342,a2)+~P12(x5341,x5342,a2)
% 0.92/1.06 [590]E(x5901,x5902)+~P12(x5902,x5901,a2)+~P12(x5901,x5902,a2)
% 0.92/1.06 [437]~P40(x4372)+~P15(x4372)+E(f5(x4371,x4371,x4372),f3(x4372))
% 0.92/1.06 [460]E(x4601,f3(a2))+E(x4602,f3(a2))+~E(f9(x4602,x4601,a2),f3(a2))
% 0.92/1.06 [554]~P8(x5541,x5542,a2)+E(f32(x5541),x5542)+P8(f32(x5541),x5542,a2)
% 0.92/1.06 [555]E(x5551,x5552)+P8(x5552,x5551,a2)+~P8(x5552,f32(x5551),a2)
% 0.92/1.06 [557]E(x5571,x5572)+P8(x5571,x5572,a2)+~P8(x5571,f32(x5572),a2)
% 0.92/1.06 [576]P12(x5761,x5762,a2)+E(x5761,f32(x5762))+~P12(x5761,f32(x5762),a2)
% 0.92/1.06 [603]E(x6031,x6032)+~E(f5(x6032,x6031,a2),f3(a2))+~E(f5(x6031,x6032,a2),f3(a2))
% 0.92/1.06 [607]E(x6071,x6072)+~P12(x6072,x6071,a2)+~P8(x6071,f32(x6072),a2)
% 0.92/1.06 [624]~P36(x6241)+P8(f3(x6241),f27(x6242,x6241),x6241)+~P8(f3(a2),x6242,a2)
% 0.92/1.06 [635]~P36(x6352)+~P8(f3(x6352),f27(x6351,x6352),x6352)+P8(f3(a2),x6351,a2)
% 0.92/1.06 [769]P8(f5(x7691,x7692,a2),x7691,a2)+~P8(f3(a2),x7692,a2)+~P8(f3(a2),x7691,a2)
% 0.92/1.06 [771]~P8(f3(a2),x7712,a2)+~P8(f3(a2),x7711,a2)+P8(f3(a2),f9(x7711,x7712,a2),a2)
% 0.92/1.06 [438]~P40(x4381)+~P15(x4381)+E(f48(f48(f4(x4381),x4382),f3(x4381)),x4382)
% 0.92/1.06 [445]~P1(x4451)+~P2(x4451)+E(f33(f3(x4451),f32(x4452),x4451),f3(x4451))
% 0.92/1.06 [524]P58(f48(x5241,x5242))+P58(f48(x5241,f62(x5241)))+~P58(f48(x5241,f3(a2)))
% 0.92/1.06 [525]P58(f48(x5251,x5252))+P58(f48(x5251,f65(x5251)))+~P58(f48(x5251,f3(a2)))
% 0.92/1.06 [526]P58(f48(x5261,x5262))+P58(f48(x5261,f63(x5261)))+~P58(f48(x5261,f3(a2)))
% 0.92/1.06 [527]P58(f48(x5271,x5272))+P58(f48(x5271,f64(x5271)))+~P58(f48(x5271,f3(a2)))
% 0.92/1.06 [528]P58(f48(x5281,x5282))+P58(f48(x5281,f6(x5281)))+~P58(f48(x5281,f3(a2)))
% 0.92/1.06 [567]P8(f3(a2),f7(x5671),a2)+P58(f48(x5671,x5672))+~P58(f48(x5671,f3(a2)))
% 0.92/1.06 [577]P58(f48(x5771,x5772))+~P58(f48(x5771,f7(x5771)))+~P58(f48(x5771,f3(a2)))
% 0.92/1.06 [580]P12(f8(x5801,x5802),x5802,a2)+~P58(f48(x5801,x5802))+P58(f48(x5801,f3(a2)))
% 0.92/1.06 [583]~P58(f48(x5831,x5832))+P58(f48(x5831,f8(x5831,x5832)))+P58(f48(x5831,f3(a2)))
% 0.92/1.06 [810]P8(x8101,f9(x8102,x8101,a2),a2)+~P8(f32(f3(a2)),x8102,a2)+~P8(f32(f3(a2)),x8101,a2)
% 0.92/1.06 [811]P8(x8111,f9(x8111,x8112,a2),a2)+~P8(f32(f3(a2)),x8112,a2)+~P8(f32(f3(a2)),x8111,a2)
% 0.92/1.06 [837]~P8(f32(f3(a2)),x8372,a2)+~P8(f32(f3(a2)),x8371,a2)+P8(f32(f3(a2)),f9(x8371,x8372,a2),a2)
% 0.92/1.06 [838]~P12(f32(f3(a2)),x8382,a2)+~P12(f32(f3(a2)),x8381,a2)+P12(f32(f3(a2)),f9(x8381,x8382,a2),a2)
% 0.92/1.06 [449]E(x4491,f3(a2))+E(x4492,f3(a2))+~E(f48(f48(f4(a2),x4492),x4491),f32(f3(a2)))
% 0.92/1.06 [466]E(x4661,f3(a2))+E(x4661,f32(f3(a2)))+~E(f48(f48(f4(a2),x4662),x4661),f32(f3(a2)))
% 0.92/1.06 [467]E(x4671,f3(a2))+E(x4671,f32(f3(a2)))+~E(f48(f48(f4(a2),x4671),x4672),f32(f3(a2)))
% 0.92/1.06 [475]E(x4751,f32(f3(a2)))+E(x4752,f32(f3(a2)))+~E(f48(f48(f4(a2),x4752),x4751),f32(f3(a2)))
% 0.92/1.06 [476]~P26(x4762)+E(x4761,f3(x4762))+~E(f48(f48(f4(x4762),x4761),x4761),f3(x4762))
% 0.92/1.06 [628]P58(f48(x6281,x6282))+~P58(f48(x6281,f3(a2)))+~P58(f48(x6281,f32(f62(x6281))))
% 0.92/1.06 [629]P58(f48(x6291,x6292))+~P58(f48(x6291,f3(a2)))+~P58(f48(x6291,f32(f65(x6291))))
% 0.92/1.06 [630]P58(f48(x6301,x6302))+~P58(f48(x6301,f3(a2)))+~P58(f48(x6301,f32(f63(x6301))))
% 0.92/1.06 [631]P58(f48(x6311,x6312))+~P58(f48(x6311,f3(a2)))+~P58(f48(x6311,f32(f64(x6311))))
% 0.92/1.06 [632]P58(f48(x6321,x6322))+~P58(f48(x6321,f3(a2)))+~P58(f48(x6321,f32(f6(x6321))))
% 0.92/1.06 [702]~P26(x7021)+~P8(f3(x7021),x7022,x7021)+P8(f3(x7021),f48(f48(f4(x7021),x7022),x7022),x7021)
% 0.92/1.06 [703]~P26(x7031)+~P12(f3(x7031),x7032,x7031)+P12(f3(x7031),f48(f48(f4(x7031),x7032),x7032),x7031)
% 0.92/1.06 [704]~P26(x7041)+~P8(x7042,f3(x7041),x7041)+P8(f48(f48(f4(x7041),x7042),x7042),f3(x7041),x7041)
% 0.92/1.06 [705]~P45(x7051)+~P8(x7052,f3(x7051),x7051)+P8(f48(f48(f4(x7051),x7052),x7052),f3(x7051),x7051)
% 0.92/1.06 [706]~P26(x7061)+~P12(x7062,f3(x7061),x7061)+P12(f48(f48(f4(x7061),x7062),x7062),f3(x7061),x7061)
% 0.92/1.06 [747]~P26(x7472)+P8(x7471,f3(x7472),x7472)+~P8(f48(f48(f4(x7472),x7471),x7471),f3(x7472),x7472)
% 0.92/1.06 [748]~P45(x7482)+P8(x7481,f3(x7482),x7482)+~P8(f48(f48(f4(x7482),x7481),x7481),f3(x7482),x7482)
% 0.92/1.06 [749]~P26(x7492)+P12(x7491,f3(x7492),x7492)+~P12(f48(f48(f4(x7492),x7491),x7491),f3(x7492),x7492)
% 0.92/1.06 [750]~P26(x7501)+P8(f3(x7501),x7502,x7501)+~P8(f3(x7501),f48(f48(f4(x7501),x7502),x7502),x7501)
% 0.92/1.06 [751]~P26(x7511)+P12(f3(x7511),x7512,x7511)+~P12(f3(x7511),f48(f48(f4(x7511),x7512),x7512),x7511)
% 0.92/1.06 [782]P8(f3(a2),x7821,a2)+P8(f3(a2),x7822,a2)+~P8(f3(a2),f48(f48(f4(a2),x7821),x7822),a2)
% 0.92/1.06 [506]P12(x5062,x5061,x5063)+~P3(x5063)+P8(x5061,x5062,x5063)
% 0.92/1.06 [508]P12(x5082,x5081,x5083)+~P3(x5083)+P12(x5081,x5082,x5083)
% 0.92/1.06 [551]~P33(x5513)+~P8(x5511,x5512,x5513)+P12(x5511,x5512,x5513)
% 0.92/1.06 [552]~P34(x5523)+~P8(x5521,x5522,x5523)+P12(x5521,x5522,x5523)
% 0.92/1.06 [608]~P8(x6083,x6082,x6081)+~P3(x6081)+~P8(x6082,x6083,x6081)
% 0.92/1.06 [610]~P12(x6103,x6102,x6101)+~P3(x6101)+~P8(x6102,x6103,x6101)
% 0.92/1.06 [613]~P8(x6133,x6132,x6131)+~P33(x6131)+~P8(x6132,x6133,x6131)
% 0.92/1.06 [614]~P12(x6143,x6142,x6141)+~P33(x6141)+~P8(x6142,x6143,x6141)
% 0.92/1.06 [615]~P8(x6153,x6152,x6151)+~P34(x6151)+~P8(x6152,x6153,x6151)
% 0.92/1.06 [640]~P12(x6401,x6403,a2)+P12(x6401,x6402,a2)+~P12(x6403,x6402,a2)
% 0.92/1.06 [411]~P6(x4113)+E(x4111,x4112)+~E(f27(x4111,x4113),f27(x4112,x4113))
% 0.92/1.06 [477]~P25(x4773)+E(x4771,x4772)+~E(f5(x4771,x4772,x4773),f3(x4773))
% 0.92/1.06 [478]~P17(x4783)+E(x4781,x4782)+~E(f5(x4781,x4782,x4783),f3(x4783))
% 0.92/1.06 [482]~P53(x4822)+~E(f33(x4821,x4823,x4822),f3(x4822))+E(x4821,f3(x4822))
% 0.92/1.06 [558]~P3(x5583)+~P12(x5582,x5581,x5583)+E(f31(x5581,x5582,x5583),x5582)
% 0.92/1.06 [559]~P3(x5593)+~P12(x5591,x5592,x5593)+E(f31(x5591,x5592,x5593),x5591)
% 0.92/1.06 [560]~P3(x5603)+~P12(x5601,x5602,x5603)+E(f30(x5601,x5602,x5603),x5602)
% 0.92/1.06 [561]~P3(x5613)+~P12(x5612,x5611,x5613)+E(f30(x5611,x5612,x5613),x5611)
% 0.92/1.06 [565]~P3(x5653)+P12(x5651,x5652,x5653)+~E(f31(x5651,x5652,x5653),x5651)
% 0.92/1.06 [566]~P3(x5663)+P12(x5661,x5662,x5663)+~E(f30(x5661,x5662,x5663),x5662)
% 0.92/1.06 [592]E(x5921,x5922)+~E(f9(x5923,x5921,a2),f9(x5923,x5922,a2))+E(x5923,f3(a2))
% 0.92/1.06 [593]E(x5931,x5932)+~E(f9(x5931,x5933,a2),f9(x5932,x5933,a2))+E(x5933,f3(a2))
% 0.92/1.06 [633]~P36(x6332)+~P8(x6331,x6333,a2)+P8(f27(x6331,x6332),f27(x6333,x6332),x6332)
% 0.92/1.06 [634]~P36(x6342)+~P12(x6341,x6343,a2)+P12(f27(x6341,x6342),f27(x6343,x6342),x6342)
% 0.92/1.06 [653]~P8(x6531,x6533,a2)+~P8(x6533,x6532,a2)+P8(f32(x6531),x6532,a2)
% 0.92/1.06 [654]~P36(x6543)+~P8(f27(x6541,x6543),f27(x6542,x6543),x6543)+P8(x6541,x6542,a2)
% 0.92/1.06 [655]~P36(x6553)+~P12(f27(x6551,x6553),f27(x6552,x6553),x6553)+P12(x6551,x6552,a2)
% 0.92/1.06 [697]E(x6971,x6972)+~E(f9(x6973,x6971,a2),f9(x6973,x6972,a2))+~P8(f3(a2),x6973,a2)
% 0.92/1.06 [700]~P28(x7003)+~P8(x7001,x7002,x7003)+P8(f5(x7001,x7002,x7003),f3(x7003),x7003)
% 0.92/1.06 [701]~P28(x7013)+~P12(x7011,x7012,x7013)+P12(f5(x7011,x7012,x7013),f3(x7013),x7013)
% 0.92/1.06 [707]~P36(x7071)+~P8(f3(x7071),x7072,x7071)+P8(f3(x7071),f33(x7072,x7073,x7071),x7071)
% 0.92/1.06 [708]~P36(x7081)+~P12(f3(x7081),x7082,x7081)+P12(f3(x7081),f33(x7082,x7083,x7081),x7081)
% 0.92/1.06 [752]~P28(x7523)+P8(x7521,x7522,x7523)+~P8(f5(x7521,x7522,x7523),f3(x7523),x7523)
% 0.92/1.06 [753]~P28(x7533)+P12(x7531,x7532,x7533)+~P12(f5(x7531,x7532,x7533),f3(x7533),x7533)
% 0.92/1.06 [871]~P8(x8711,x8713,a2)+~P12(x8712,x8711,a2)+P8(f5(x8711,x8712,a2),f5(x8713,x8712,a2),a2)
% 0.92/1.06 [872]~P8(x8723,x8722,a2)+~P8(x8723,x8721,a2)+P8(f5(x8721,x8722,a2),f5(x8721,x8723,a2),a2)
% 0.92/1.06 [875]~P8(x8751,x8753,a2)+P8(f9(x8751,x8752,a2),f9(x8753,x8752,a2),a2)+~P8(f3(a2),x8752,a2)
% 0.92/1.06 [878]~P8(x8782,x8783,a2)+P8(f9(x8781,x8782,a2),f9(x8781,x8783,a2),a2)+~P8(f3(a2),x8781,a2)
% 0.92/1.06 [958]P12(x9581,x9582,a2)+~P12(f9(x9583,x9581,a2),f9(x9583,x9582,a2),a2)+~P8(f3(a2),x9583,a2)
% 0.92/1.06 [959]P12(x9591,x9592,a2)+~P12(f9(x9591,x9593,a2),f9(x9592,x9593,a2),a2)+~P8(f3(a2),x9593,a2)
% 0.92/1.06 [518]E(x5181,x5182)+P8(x5182,x5181,a2)+E(f17(f11(x5181),x5183,x5182),f11(x5181))
% 0.92/1.06 [720]~P54(x7202)+~P12(x7203,x7201,a2)+E(f5(f27(x7201,x7202),f27(x7203,x7202),x7202),f27(f5(x7201,x7203,a2),x7202))
% 0.92/1.06 [927]~P12(x9272,x9273,a2)+~P12(x9272,x9271,a2)+E(f5(f5(x9271,x9272,a2),f5(x9273,x9272,a2),a2),f5(x9271,x9273,a2))
% 0.92/1.06 [928]~P8(x9282,x9283,a2)+~P58(f48(x9281,f5(x9282,x9283,a2)))+P58(f48(x9281,f3(a2)))
% 0.92/1.06 [971]~P46(x9712)+E(x9711,f3(x9712))+~E(f48(f48(f4(x9712),f9(x9713,x9713,x9712)),f9(x9711,x9711,x9712)),f3(x9712))
% 0.92/1.06 [972]~P46(x9722)+E(x9721,f3(x9722))+~E(f48(f48(f4(x9722),f9(x9721,x9721,x9722)),f9(x9723,x9723,x9722)),f3(x9722))
% 0.92/1.06 [992]~P46(x9922)+E(x9921,f3(x9922))+P8(f3(x9922),f48(f48(f4(x9922),f9(x9923,x9923,x9922)),f9(x9921,x9921,x9922)),x9922)
% 0.92/1.06 [993]~P46(x9932)+E(x9931,f3(x9932))+P8(f3(x9932),f48(f48(f4(x9932),f9(x9931,x9931,x9932)),f9(x9933,x9933,x9932)),x9932)
% 0.92/1.06 [1011]~P46(x10112)+E(x10111,f3(x10112))+~P12(f48(f48(f4(x10112),f9(x10113,x10113,x10112)),f9(x10111,x10111,x10112)),f3(x10112),x10112)
% 0.92/1.06 [1012]~P46(x10122)+E(x10121,f3(x10122))+~P12(f48(f48(f4(x10122),f9(x10121,x10121,x10122)),f9(x10123,x10123,x10122)),f3(x10122),x10122)
% 0.92/1.06 [721]~P12(x7211,x7212,a2)+~P8(f3(a2),x7213,a2)+P8(x7211,f48(f48(f4(a2),x7212),x7213),a2)
% 0.92/1.06 [918]~P12(x9183,x9182,a2)+P12(x9181,f5(x9182,x9183,a2),a2)+~P12(f48(f48(f4(a2),x9181),x9183),x9182,a2)
% 0.92/1.06 [923]~P12(x9232,x9233,a2)+~P12(x9231,f5(x9233,x9232,a2),a2)+P12(f48(f48(f4(a2),x9231),x9232),x9233,a2)
% 0.92/1.06 [1066]~P7(x10662)+~P7(f21(a12,f17(x10661,x10662,f3(a2)),x10663,a49,a49))+P7(f21(a12,f48(f48(a12,f13(x10661)),x10662),x10663,a49,a49))
% 0.92/1.06 [581]~P10(x5811,x5814,x5813)+P10(x5811,x5812,x5813)+~P11(x5814,x5812)
% 0.92/1.06 [618]~P17(x6184)+E(x6181,x6182)+~E(f5(x6183,x6183,x6184),f5(x6181,x6182,x6184))
% 0.92/1.06 [619]~P17(x6193)+E(x6191,x6192)+~E(f5(x6191,x6192,x6193),f5(x6194,x6194,x6193))
% 0.92/1.06 [681]~P3(x6814)+~P8(x6811,x6813,x6814)+P8(x6811,f30(x6812,x6813,x6814),x6814)
% 0.92/1.06 [683]~P3(x6834)+~P8(x6831,x6832,x6834)+P8(x6831,f30(x6832,x6833,x6834),x6834)
% 0.92/1.06 [685]~P3(x6854)+~P12(x6851,x6853,x6854)+P12(x6851,f30(x6852,x6853,x6854),x6854)
% 0.92/1.06 [687]~P3(x6874)+~P12(x6871,x6872,x6874)+P12(x6871,f30(x6872,x6873,x6874),x6874)
% 0.92/1.06 [689]~P3(x6893)+~P8(x6892,x6894,x6893)+P8(f31(x6891,x6892,x6893),x6894,x6893)
% 0.92/1.06 [691]~P3(x6913)+~P8(x6911,x6914,x6913)+P8(f31(x6911,x6912,x6913),x6914,x6913)
% 0.92/1.06 [693]~P3(x6933)+~P12(x6932,x6934,x6933)+P12(f31(x6931,x6932,x6933),x6934,x6933)
% 0.92/1.06 [695]~P3(x6953)+~P12(x6951,x6954,x6953)+P12(f31(x6951,x6952,x6953),x6954,x6953)
% 0.92/1.06 [725]~P3(x7253)+P8(x7251,x7252,x7253)+~P8(x7251,f31(x7254,x7252,x7253),x7253)
% 0.92/1.06 [726]~P3(x7263)+P8(x7261,x7262,x7263)+~P8(x7261,f31(x7262,x7264,x7263),x7263)
% 0.92/1.06 [728]~P3(x7283)+P12(x7281,x7282,x7283)+~P12(x7281,f31(x7284,x7282,x7283),x7283)
% 0.92/1.06 [730]~P3(x7303)+P12(x7301,x7302,x7303)+~P12(x7301,f31(x7302,x7304,x7303),x7303)
% 0.92/1.06 [731]~P3(x7313)+P8(x7311,x7312,x7313)+~P8(f30(x7314,x7311,x7313),x7312,x7313)
% 0.92/1.06 [732]~P3(x7323)+P8(x7321,x7322,x7323)+~P8(f30(x7321,x7324,x7323),x7322,x7323)
% 0.92/1.06 [734]~P3(x7343)+P12(x7341,x7342,x7343)+~P12(f30(x7344,x7341,x7343),x7342,x7343)
% 0.92/1.06 [736]~P3(x7363)+P12(x7361,x7362,x7363)+~P12(f30(x7361,x7364,x7363),x7362,x7363)
% 0.92/1.06 [873]~P12(x8732,x8734,a2)+~P12(x8731,x8733,a2)+P12(f9(x8731,x8732,a2),f9(x8733,x8734,a2),a2)
% 0.92/1.06 [519]P58(f48(x5191,x5192))+P58(f48(x5191,x5193))+~E(f36(x5191),f48(f48(a46,x5194),x5193))
% 0.92/1.06 [520]P58(f48(x5201,x5202))+P58(f48(x5201,x5203))+~E(f36(x5201),f48(f48(a46,x5203),x5204))
% 0.92/1.06 [924]E(x9241,x9242)+E(x9243,f3(a2))+~E(f48(f48(f4(a2),x9244),f9(x9243,x9241,a2)),f48(f48(f4(a2),x9244),f9(x9243,x9242,a2)))
% 0.92/1.06 [990]~P40(x9901)+~P15(x9901)+E(f48(f48(f4(x9901),f9(x9902,x9903,x9901)),f9(x9902,x9904,x9901)),f48(f48(f4(x9901),f9(x9902,x9904,x9901)),f9(x9902,x9903,x9901)))
% 0.92/1.06 [1005]E(x10051,x10052)+E(x10053,x10054)+~E(f48(f48(f4(a2),f9(x10053,x10051,a2)),f9(x10054,x10052,a2)),f48(f48(f4(a2),f9(x10053,x10052,a2)),f9(x10054,x10051,a2)))
% 0.92/1.06 [599]~P18(x5993)+E(x5991,x5992)+~E(f48(f48(f4(x5993),x5994),x5991),f48(f48(f4(x5993),x5994),x5992))
% 0.92/1.06 [600]~P21(x6003)+E(x6001,x6002)+~E(f48(f48(f4(x6003),x6004),x6001),f48(f48(f4(x6003),x6004),x6002))
% 0.92/1.06 [601]~P21(x6013)+E(x6011,x6012)+~E(f48(f48(f4(x6013),x6011),x6014),f48(f48(f4(x6013),x6012),x6014))
% 0.92/1.06 [714]~P8(x7144,x7143,a2)+P8(x7141,x7142,a2)+~E(f48(f48(f4(a2),x7141),x7143),f48(f48(f4(a2),x7144),x7142))
% 0.92/1.06 [790]~P4(x7901)+~P8(x7902,x7904,x7901)+P8(f48(f48(f4(x7901),x7902),x7903),f48(f48(f4(x7901),x7904),x7903),x7901)
% 0.92/1.06 [791]~P30(x7911)+~P8(x7912,x7914,x7911)+P8(f48(f48(f4(x7911),x7912),x7913),f48(f48(f4(x7911),x7914),x7913),x7911)
% 0.92/1.06 [792]~P4(x7921)+~P8(x7923,x7924,x7921)+P8(f48(f48(f4(x7921),x7922),x7923),f48(f48(f4(x7921),x7922),x7924),x7921)
% 0.92/1.06 [793]~P30(x7931)+~P8(x7933,x7934,x7931)+P8(f48(f48(f4(x7931),x7932),x7933),f48(f48(f4(x7931),x7932),x7934),x7931)
% 0.92/1.06 [794]~P4(x7941)+~P12(x7942,x7944,x7941)+P12(f48(f48(f4(x7941),x7942),x7943),f48(f48(f4(x7941),x7944),x7943),x7941)
% 0.92/1.06 [795]~P27(x7951)+~P12(x7952,x7954,x7951)+P12(f48(f48(f4(x7951),x7952),x7953),f48(f48(f4(x7951),x7954),x7953),x7951)
% 0.92/1.06 [796]~P4(x7961)+~P12(x7963,x7964,x7961)+P12(f48(f48(f4(x7961),x7962),x7963),f48(f48(f4(x7961),x7962),x7964),x7961)
% 0.92/1.06 [797]~P27(x7971)+~P12(x7973,x7974,x7971)+P12(f48(f48(f4(x7971),x7972),x7973),f48(f48(f4(x7971),x7972),x7974),x7971)
% 0.92/1.06 [856]~P8(x8562,x8564,a2)+~P8(x8561,x8563,a2)+P8(f48(f48(f4(a2),x8561),x8562),f48(f48(f4(a2),x8563),x8564),a2)
% 0.92/1.06 [857]~P12(x8572,x8574,a2)+~P12(x8571,x8573,a2)+P12(f48(f48(f4(a2),x8571),x8572),f48(f48(f4(a2),x8573),x8574),a2)
% 0.92/1.06 [919]~P4(x9193)+P8(x9191,x9192,x9193)+~P8(f48(f48(f4(x9193),x9194),x9191),f48(f48(f4(x9193),x9194),x9192),x9193)
% 0.92/1.06 [920]~P4(x9203)+P8(x9201,x9202,x9203)+~P8(f48(f48(f4(x9203),x9201),x9204),f48(f48(f4(x9203),x9202),x9204),x9203)
% 0.92/1.06 [921]~P4(x9213)+P12(x9211,x9212,x9213)+~P12(f48(f48(f4(x9213),x9214),x9211),f48(f48(f4(x9213),x9214),x9212),x9213)
% 0.92/1.06 [922]~P4(x9223)+P12(x9221,x9222,x9223)+~P12(f48(f48(f4(x9223),x9221),x9224),f48(f48(f4(x9223),x9222),x9224),x9223)
% 0.92/1.06 [606]E(x6061,x6062)+~E(f23(x6063,x6061,x6064),f23(x6065,x6062,x6064))+E(x6063,f3(a2))
% 0.92/1.06 [1065]~P14(x10651,x10653,x10655)+~P10(x10651,x10652,f22(a46,x10655,x10654,a51,a51))+P10(x10651,f21(a12,x10652,x10653,a49,a49),x10654)
% 0.92/1.06 [858]~P10(x8581,x8583,x8585)+~P10(x8581,x8582,f48(f48(a46,x8585),x8584))+P10(x8581,f48(f48(a12,x8582),x8583),x8584)
% 0.92/1.06 [1069]E(x10691,x10692)+~P10(x10693,f21(a12,f11(x10694),x10695,a49,a49),x10691)+~P10(x10693,f21(a12,f11(x10694),x10695,a49,a49),x10692)
% 0.92/1.06 [844]~P17(x8441)+E(f48(f48(f4(x8441),x8442),x8443),x8444)+~E(f48(f48(f4(x8441),x8442),f48(f48(f4(x8441),x8445),x8443)),f48(f48(f4(x8441),x8445),x8444))
% 0.92/1.06 [1017]~P12(x10173,x10172,a2)+~E(f48(f48(f4(a2),f9(x10173,x10174,a2)),x10171),f48(f48(f4(a2),f9(x10172,x10174,a2)),x10175))+E(x10171,f48(f48(f4(a2),f9(f5(x10172,x10173,a2),x10174,a2)),x10175))
% 0.92/1.06 [1018]~P12(x10182,x10181,a2)+~E(f48(f48(f4(a2),f9(x10181,x10183,a2)),x10184),f48(f48(f4(a2),f9(x10182,x10183,a2)),x10185))+E(f48(f48(f4(a2),f9(f5(x10181,x10182,a2),x10183,a2)),x10184),x10185)
% 0.92/1.06 [1038]~P12(x10383,x10382,a2)+~P8(f48(f48(f4(a2),f9(x10383,x10384,a2)),x10381),f48(f48(f4(a2),f9(x10382,x10384,a2)),x10385),a2)+P8(x10381,f48(f48(f4(a2),f9(f5(x10382,x10383,a2),x10384,a2)),x10385),a2)
% 0.92/1.06 [1039]~P12(x10393,x10392,a2)+~P12(f48(f48(f4(a2),f9(x10393,x10394,a2)),x10391),f48(f48(f4(a2),f9(x10392,x10394,a2)),x10395),a2)+P12(x10391,f48(f48(f4(a2),f9(f5(x10392,x10393,a2),x10394,a2)),x10395),a2)
% 0.92/1.06 [1040]~P12(x10402,x10401,a2)+~P8(f48(f48(f4(a2),f9(x10401,x10403,a2)),x10404),f48(f48(f4(a2),f9(x10402,x10403,a2)),x10405),a2)+P8(f48(f48(f4(a2),f9(f5(x10401,x10402,a2),x10403,a2)),x10404),x10405,a2)
% 0.92/1.06 [1041]~P12(x10412,x10411,a2)+~P12(f48(f48(f4(a2),f9(x10411,x10413,a2)),x10414),f48(f48(f4(a2),f9(x10412,x10413,a2)),x10415),a2)+P12(f48(f48(f4(a2),f9(f5(x10411,x10412,a2),x10413,a2)),x10414),x10415,a2)
% 0.92/1.06 [1046]~P12(x10461,x10464,a2)+P8(f48(f48(f4(a2),f9(x10461,x10462,a2)),x10463),f48(f48(f4(a2),f9(x10464,x10462,a2)),x10465),a2)+~P8(x10463,f48(f48(f4(a2),f9(f5(x10464,x10461,a2),x10462,a2)),x10465),a2)
% 0.92/1.06 [1047]~P12(x10471,x10474,a2)+P12(f48(f48(f4(a2),f9(x10471,x10472,a2)),x10473),f48(f48(f4(a2),f9(x10474,x10472,a2)),x10475),a2)+~P12(x10473,f48(f48(f4(a2),f9(f5(x10474,x10471,a2),x10472,a2)),x10475),a2)
% 0.92/1.06 [1048]~P12(x10484,x10481,a2)+P8(f48(f48(f4(a2),f9(x10481,x10482,a2)),x10483),f48(f48(f4(a2),f9(x10484,x10482,a2)),x10485),a2)+~P8(f48(f48(f4(a2),f9(f5(x10481,x10484,a2),x10482,a2)),x10483),x10485,a2)
% 0.92/1.06 [1049]~P12(x10494,x10491,a2)+P12(f48(f48(f4(a2),f9(x10491,x10492,a2)),x10493),f48(f48(f4(a2),f9(x10494,x10492,a2)),x10495),a2)+~P12(f48(f48(f4(a2),f9(f5(x10491,x10494,a2),x10492,a2)),x10493),x10495,a2)
% 0.92/1.06 [1001]~P10(x10011,x10013,x10016)+P10(x10011,f17(x10012,x10013,x10014),x10015)+~P10(f35(x10011,x10014,x10016,a51),x10012,x10015)
% 0.92/1.06 [1015]~P55(x10152)+~E(f48(f48(f4(x10152),f9(x10154,x10155,x10152)),x10151),f48(f48(f4(x10152),f9(x10153,x10155,x10152)),x10156))+E(x10151,f48(f48(f4(x10152),f9(f5(x10153,x10154,x10152),x10155,x10152)),x10156))
% 0.92/1.06 [1016]~P55(x10161)+~E(f48(f48(f4(x10161),f9(x10162,x10164,x10161)),x10165),f48(f48(f4(x10161),f9(x10163,x10164,x10161)),x10166))+E(f48(f48(f4(x10161),f9(f5(x10162,x10163,x10161),x10164,x10161)),x10165),x10166)
% 0.92/1.06 [1042]~P51(x10422)+~P8(f48(f48(f4(x10422),f9(x10424,x10425,x10422)),x10421),f48(f48(f4(x10422),f9(x10423,x10425,x10422)),x10426),x10422)+P8(x10421,f48(f48(f4(x10422),f9(f5(x10423,x10424,x10422),x10425,x10422)),x10426),x10422)
% 0.92/1.06 [1043]~P51(x10432)+~P12(f48(f48(f4(x10432),f9(x10434,x10435,x10432)),x10431),f48(f48(f4(x10432),f9(x10433,x10435,x10432)),x10436),x10432)+P12(x10431,f48(f48(f4(x10432),f9(f5(x10433,x10434,x10432),x10435,x10432)),x10436),x10432)
% 0.92/1.06 [1044]~P51(x10441)+~P8(f48(f48(f4(x10441),f9(x10442,x10444,x10441)),x10445),f48(f48(f4(x10441),f9(x10443,x10444,x10441)),x10446),x10441)+P8(f48(f48(f4(x10441),f9(f5(x10442,x10443,x10441),x10444,x10441)),x10445),x10446,x10441)
% 0.92/1.06 [1045]~P51(x10451)+~P12(f48(f48(f4(x10451),f9(x10452,x10454,x10451)),x10455),f48(f48(f4(x10451),f9(x10453,x10454,x10451)),x10456),x10451)+P12(f48(f48(f4(x10451),f9(f5(x10452,x10453,x10451),x10454,x10451)),x10455),x10456,x10451)
% 0.92/1.06 [1050]~P51(x10501)+P8(f48(f48(f4(x10501),f9(x10502,x10503,x10501)),x10504),f48(f48(f4(x10501),f9(x10505,x10503,x10501)),x10506),x10501)+~P8(x10504,f48(f48(f4(x10501),f9(f5(x10505,x10502,x10501),x10503,x10501)),x10506),x10501)
% 0.92/1.06 [1051]~P51(x10511)+P12(f48(f48(f4(x10511),f9(x10512,x10513,x10511)),x10514),f48(f48(f4(x10511),f9(x10515,x10513,x10511)),x10516),x10511)+~P12(x10514,f48(f48(f4(x10511),f9(f5(x10515,x10512,x10511),x10513,x10511)),x10516),x10511)
% 0.92/1.06 [1052]~P51(x10521)+P8(f48(f48(f4(x10521),f9(x10522,x10523,x10521)),x10524),f48(f48(f4(x10521),f9(x10525,x10523,x10521)),x10526),x10521)+~P8(f48(f48(f4(x10521),f9(f5(x10522,x10525,x10521),x10523,x10521)),x10524),x10526,x10521)
% 0.92/1.06 [1053]~P51(x10531)+P12(f48(f48(f4(x10531),f9(x10532,x10533,x10531)),x10534),f48(f48(f4(x10531),f9(x10535,x10533,x10531)),x10536),x10531)+~P12(f48(f48(f4(x10531),f9(f5(x10532,x10535,x10531),x10533,x10531)),x10534),x10536,x10531)
% 0.92/1.06 [444]~P1(x4442)+~P2(x4442)+E(x4441,f3(a2))+E(f33(f3(x4442),x4441,x4442),f3(x4442))
% 0.92/1.06 [516]P8(x5161,x5162,x5163)+~P3(x5163)+E(x5161,x5162)+P8(x5162,x5161,x5163)
% 0.92/1.06 [517]P8(x5171,x5172,x5173)+~P45(x5173)+E(x5171,x5172)+P8(x5172,x5171,x5173)
% 0.92/1.06 [569]~P3(x5693)+~P12(x5691,x5692,x5693)+E(x5691,x5692)+P8(x5691,x5692,x5693)
% 0.92/1.06 [575]~P34(x5753)+~P12(x5751,x5752,x5753)+E(x5751,x5752)+P8(x5751,x5752,x5753)
% 0.92/1.06 [623]~P12(x6232,x6231,x6233)+~P12(x6231,x6232,x6233)+E(x6231,x6232)+~P34(x6233)
% 0.92/1.06 [636]P12(x6362,x6361,x6363)+~P33(x6363)+~P12(x6361,x6362,x6363)+P8(x6361,x6362,x6363)
% 0.92/1.06 [486]~P40(x4863)+~P15(x4863)+E(x4861,x4862)+~E(f5(x4861,x4862,x4863),f3(x4863))
% 0.92/1.06 [490]~P43(x4902)+~E(f9(x4903,x4901,x4902),f3(x4902))+E(x4901,f3(x4902))+E(x4903,f3(x4902))
% 0.92/1.06 [491]~P52(x4912)+~E(f9(x4913,x4911,x4912),f3(x4912))+E(x4911,f3(x4912))+E(x4913,f3(x4912))
% 0.92/1.06 [770]E(x7701,x7702)+~P12(x7703,x7702,a2)+~P12(x7703,x7701,a2)+~E(f5(x7701,x7703,a2),f5(x7702,x7703,a2))
% 0.92/1.06 [812]~P46(x8121)+~P8(x8123,f3(x8121),x8121)+~P8(x8122,f3(x8121),x8121)+P8(f3(x8121),f9(x8122,x8123,x8121),x8121)
% 0.92/1.06 [814]~P51(x8141)+~P12(x8143,f3(x8141),x8141)+~P12(x8142,f3(x8141),x8141)+P12(f3(x8141),f9(x8142,x8143,x8141),x8141)
% 0.92/1.06 [815]~P46(x8151)+~P12(x8153,f3(x8151),x8151)+~P12(x8152,f3(x8151),x8151)+P12(f3(x8151),f9(x8152,x8153,x8151),x8151)
% 0.92/1.06 [816]~P35(x8161)+~P8(f3(x8161),x8163,x8161)+~P8(f3(x8161),x8162,x8161)+P8(f3(x8161),f9(x8162,x8163,x8161),x8161)
% 0.92/1.06 [817]~P51(x8171)+~P12(f3(x8171),x8173,x8171)+~P12(f3(x8171),x8172,x8171)+P12(f3(x8171),f9(x8172,x8173,x8171),x8171)
% 0.92/1.06 [818]~P46(x8181)+~P12(f3(x8181),x8183,x8181)+~P12(f3(x8181),x8182,x8181)+P12(f3(x8181),f9(x8182,x8183,x8181),x8181)
% 0.92/1.06 [819]~P49(x8191)+~P12(f3(x8191),x8193,x8191)+~P12(f3(x8191),x8192,x8191)+P12(f3(x8191),f9(x8192,x8193,x8191),x8191)
% 0.92/1.06 [820]~P35(x8203)+~P8(x8202,f3(x8203),x8203)+~P8(f3(x8203),x8201,x8203)+P8(f9(x8201,x8202,x8203),f3(x8203),x8203)
% 0.92/1.06 [822]~P35(x8223)+~P8(x8221,f3(x8223),x8223)+~P8(f3(x8223),x8222,x8223)+P8(f9(x8221,x8222,x8223),f3(x8223),x8223)
% 0.92/1.06 [823]~P46(x8233)+~P12(x8232,f3(x8233),x8233)+~P12(f3(x8233),x8231,x8233)+P12(f9(x8231,x8232,x8233),f3(x8233),x8233)
% 0.92/1.06 [824]~P46(x8243)+~P12(x8241,f3(x8243),x8243)+~P12(f3(x8243),x8242,x8243)+P12(f9(x8241,x8242,x8243),f3(x8243),x8243)
% 0.92/1.06 [826]~P49(x8263)+~P12(x8262,f3(x8263),x8263)+~P12(f3(x8263),x8261,x8263)+P12(f9(x8261,x8262,x8263),f3(x8263),x8263)
% 0.92/1.06 [829]~P49(x8293)+~P12(x8291,f3(x8293),x8293)+~P12(f3(x8293),x8292,x8293)+P12(f9(x8291,x8292,x8293),f3(x8293),x8293)
% 0.92/1.06 [848]~P46(x8482)+~P12(f9(x8483,x8481,x8482),f3(x8482),x8482)+P12(x8481,f3(x8482),x8482)+P12(x8483,f3(x8482),x8482)
% 0.92/1.06 [849]~P46(x8492)+~P12(f3(x8492),f9(x8493,x8491,x8492),x8492)+P12(x8491,f3(x8492),x8492)+P12(f3(x8492),x8493,x8492)
% 0.92/1.06 [850]~P46(x8502)+~P12(f3(x8502),f9(x8501,x8503,x8502),x8502)+P12(x8501,f3(x8502),x8502)+P12(f3(x8502),x8503,x8502)
% 0.92/1.06 [851]~P46(x8512)+~P12(f3(x8512),f9(x8513,x8511,x8512),x8512)+P12(x8511,f3(x8512),x8512)+P12(f3(x8512),x8511,x8512)
% 0.92/1.06 [852]~P46(x8522)+~P12(f3(x8522),f9(x8521,x8523,x8522),x8522)+P12(x8521,f3(x8522),x8522)+P12(f3(x8522),x8521,x8522)
% 0.92/1.06 [853]~P46(x8532)+~P12(f9(x8533,x8531,x8532),f3(x8532),x8532)+P12(x8531,f3(x8532),x8532)+P12(f3(x8532),x8531,x8532)
% 0.92/1.06 [854]~P46(x8542)+~P12(f9(x8541,x8543,x8542),f3(x8542),x8542)+P12(x8541,f3(x8542),x8542)+P12(f3(x8542),x8541,x8542)
% 0.92/1.06 [855]~P46(x8551)+~P12(f9(x8552,x8553,x8551),f3(x8551),x8551)+P12(f3(x8551),x8552,x8551)+P12(f3(x8551),x8553,x8551)
% 0.92/1.06 [869]~P35(x8691)+~P8(f3(x8691),f9(x8693,x8692,x8691),x8691)+P8(f3(x8691),x8692,x8691)+~P8(f3(x8691),x8693,x8691)
% 0.92/1.06 [870]~P35(x8701)+~P8(f3(x8701),f9(x8702,x8703,x8701),x8701)+P8(f3(x8701),x8702,x8701)+~P8(f3(x8701),x8703,x8701)
% 0.92/1.06 [975]~P12(x9753,x9751,a2)+P8(x9751,x9752,a2)+~P12(x9753,x9752,a2)+~P8(f5(x9751,x9753,a2),f5(x9752,x9753,a2),a2)
% 0.92/1.06 [976]~P12(x9763,x9761,a2)+P12(x9761,x9762,a2)+~P12(x9763,x9762,a2)+~P12(f5(x9761,x9763,a2),f5(x9762,x9763,a2),a2)
% 0.92/1.06 [639]~P8(x6392,f7(x6391),a2)+P58(f48(x6391,x6392))+P58(f48(x6391,x6393))+~P58(f48(x6391,f3(a2)))
% 0.92/1.06 [696]~P8(x6963,f8(x6961,x6962),a2)+~P58(f48(x6961,x6962))+~P58(f48(x6961,x6963))+P58(f48(x6961,f3(a2)))
% 0.92/1.06 [481]~P40(x4812)+~P15(x4812)+E(x4811,f3(x4812))+~E(f48(f48(f4(x4812),x4813),x4811),x4813)
% 0.92/1.06 [802]~P29(x8021)+~P8(f3(x8021),x8023,x8021)+~P8(f3(x8021),x8022,x8021)+P8(f3(x8021),f48(f48(f4(x8021),x8022),x8023),x8021)
% 0.92/1.06 [803]~P29(x8031)+~P8(f3(x8031),x8033,x8031)+~P12(f3(x8031),x8032,x8031)+P8(f3(x8031),f48(f48(f4(x8031),x8032),x8033),x8031)
% 0.92/1.06 [804]~P29(x8041)+~P8(f3(x8041),x8042,x8041)+~P12(f3(x8041),x8043,x8041)+P8(f3(x8041),f48(f48(f4(x8041),x8042),x8043),x8041)
% 0.92/1.06 [805]~P29(x8051)+~P12(f3(x8051),x8053,x8051)+~P12(f3(x8051),x8052,x8051)+P12(f3(x8051),f48(f48(f4(x8051),x8052),x8053),x8051)
% 0.92/1.06 [806]~P29(x8061)+~P8(x8063,f3(x8061),x8061)+~P8(x8062,f3(x8061),x8061)+P8(f48(f48(f4(x8061),x8062),x8063),f3(x8061),x8061)
% 0.92/1.06 [807]~P29(x8071)+~P8(x8073,f3(x8071),x8071)+~P12(x8072,f3(x8071),x8071)+P8(f48(f48(f4(x8071),x8072),x8073),f3(x8071),x8071)
% 0.92/1.06 [808]~P29(x8081)+~P8(x8082,f3(x8081),x8081)+~P12(x8083,f3(x8081),x8081)+P8(f48(f48(f4(x8081),x8082),x8083),f3(x8081),x8081)
% 0.92/1.06 [809]~P29(x8091)+~P12(x8093,f3(x8091),x8091)+~P12(x8092,f3(x8091),x8091)+P12(f48(f48(f4(x8091),x8092),x8093),f3(x8091),x8091)
% 0.92/1.06 [663]~P33(x6633)+~P8(x6631,x6634,x6633)+P8(x6631,x6632,x6633)+~P8(x6634,x6632,x6633)
% 0.92/1.06 [664]~P33(x6643)+~P12(x6641,x6644,x6643)+P8(x6641,x6642,x6643)+~P8(x6644,x6642,x6643)
% 0.92/1.06 [665]~P33(x6653)+~P12(x6654,x6652,x6653)+P8(x6651,x6652,x6653)+~P8(x6651,x6654,x6653)
% 0.92/1.06 [666]~P34(x6663)+~P8(x6661,x6664,x6663)+P8(x6661,x6662,x6663)+~P8(x6664,x6662,x6663)
% 0.92/1.06 [667]~P34(x6673)+~P12(x6671,x6674,x6673)+P8(x6671,x6672,x6673)+~P8(x6674,x6672,x6673)
% 0.92/1.06 [668]~P34(x6683)+~P12(x6684,x6682,x6683)+P8(x6681,x6682,x6683)+~P8(x6681,x6684,x6683)
% 0.92/1.06 [669]~P33(x6693)+~P12(x6691,x6694,x6693)+P12(x6691,x6692,x6693)+~P12(x6694,x6692,x6693)
% 0.92/1.06 [670]~P34(x6703)+~P12(x6701,x6704,x6703)+P12(x6701,x6702,x6703)+~P12(x6704,x6702,x6703)
% 0.92/1.06 [774]~P3(x7744)+~P8(x7741,x7743,x7744)+~P8(x7741,x7742,x7744)+P8(x7741,f31(x7742,x7743,x7744),x7744)
% 0.92/1.06 [777]~P3(x7774)+~P12(x7771,x7773,x7774)+~P12(x7771,x7772,x7774)+P12(x7771,f31(x7772,x7773,x7774),x7774)
% 0.92/1.06 [778]~P3(x7783)+~P8(x7782,x7784,x7783)+~P8(x7781,x7784,x7783)+P8(f30(x7781,x7782,x7783),x7784,x7783)
% 0.92/1.06 [781]~P3(x7813)+~P12(x7812,x7814,x7813)+~P12(x7811,x7814,x7813)+P12(f30(x7811,x7812,x7813),x7814,x7813)
% 0.92/1.06 [833]~P3(x8333)+P8(x8331,x8332,x8333)+P8(x8331,x8334,x8333)+~P8(x8331,f30(x8332,x8334,x8333),x8333)
% 0.92/1.06 [834]~P3(x8343)+P12(x8341,x8342,x8343)+P12(x8341,x8344,x8343)+~P12(x8341,f30(x8342,x8344,x8343),x8343)
% 0.92/1.06 [835]~P3(x8353)+P8(x8351,x8352,x8353)+P8(x8354,x8352,x8353)+~P8(f31(x8351,x8354,x8353),x8352,x8353)
% 0.92/1.06 [836]~P3(x8363)+P12(x8361,x8362,x8363)+P12(x8364,x8362,x8363)+~P12(f31(x8361,x8364,x8363),x8362,x8363)
% 0.92/1.06 [895]~P46(x8953)+~P8(x8954,x8951,x8953)+~P8(x8952,f3(x8953),x8953)+P8(f9(x8951,x8952,x8953),f9(x8954,x8952,x8953),x8953)
% 0.92/1.06 [898]~P46(x8983)+~P8(x8984,x8982,x8983)+~P8(x8981,f3(x8983),x8983)+P8(f9(x8981,x8982,x8983),f9(x8981,x8984,x8983),x8983)
% 0.92/1.06 [899]~P51(x8993)+~P12(x8994,x8991,x8993)+~P12(x8992,f3(x8993),x8993)+P12(f9(x8991,x8992,x8993),f9(x8994,x8992,x8993),x8993)
% 0.92/1.06 [900]~P51(x9003)+~P12(x9004,x9002,x9003)+~P12(x9001,f3(x9003),x9003)+P12(f9(x9001,x9002,x9003),f9(x9001,x9004,x9003),x9003)
% 0.92/1.06 [901]~P46(x9013)+~P12(x9014,x9012,x9013)+~P8(x9011,f3(x9013),x9013)+P12(f9(x9011,x9012,x9013),f9(x9011,x9014,x9013),x9013)
% 0.92/1.06 [902]~P35(x9023)+~P8(x9021,x9024,x9023)+~P8(f3(x9023),x9022,x9023)+P8(f9(x9021,x9022,x9023),f9(x9024,x9022,x9023),x9023)
% 0.92/1.06 [903]~P46(x9033)+~P8(x9031,x9034,x9033)+~P8(f3(x9033),x9032,x9033)+P8(f9(x9031,x9032,x9033),f9(x9034,x9032,x9033),x9033)
% 0.92/1.06 [904]~P35(x9043)+~P8(x9042,x9044,x9043)+~P8(f3(x9043),x9041,x9043)+P8(f9(x9041,x9042,x9043),f9(x9041,x9044,x9043),x9043)
% 0.92/1.06 [906]~P46(x9063)+~P8(x9062,x9064,x9063)+~P8(f3(x9063),x9061,x9063)+P8(f9(x9061,x9062,x9063),f9(x9061,x9064,x9063),x9063)
% 0.92/1.06 [907]~P42(x9073)+~P8(x9072,x9074,x9073)+~P8(f3(x9073),x9071,x9073)+P8(f9(x9071,x9072,x9073),f9(x9071,x9074,x9073),x9073)
% 0.92/1.06 [908]~P39(x9083)+~P12(x9081,x9084,x9083)+~P12(f3(x9083),x9082,x9083)+P12(f9(x9081,x9082,x9083),f9(x9084,x9082,x9083),x9083)
% 0.92/1.06 [909]~P46(x9093)+~P12(x9092,x9094,x9093)+~P8(f3(x9093),x9091,x9093)+P12(f9(x9091,x9092,x9093),f9(x9091,x9094,x9093),x9093)
% 0.92/1.06 [910]~P39(x9103)+~P12(x9102,x9104,x9103)+~P12(f3(x9103),x9101,x9103)+P12(f9(x9101,x9102,x9103),f9(x9101,x9104,x9103),x9103)
% 0.92/1.06 [911]~P41(x9113)+~P12(x9112,x9114,x9113)+~P12(f3(x9113),x9111,x9113)+P12(f9(x9111,x9112,x9113),f9(x9111,x9114,x9113),x9113)
% 0.92/1.06 [912]~P36(x9123)+~P12(x9121,x9124,x9123)+~P12(f3(x9123),x9121,x9123)+P12(f33(x9121,x9122,x9123),f33(x9124,x9122,x9123),x9123)
% 0.92/1.06 [944]P8(x9442,x9441,x9443)+~P46(x9443)+P8(x9441,x9442,x9443)+~P8(f9(x9444,x9441,x9443),f9(x9444,x9442,x9443),x9443)
% 0.92/1.06 [945]P8(x9452,x9451,x9453)+~P46(x9453)+P8(x9451,x9452,x9453)+~P8(f9(x9451,x9454,x9453),f9(x9452,x9454,x9453),x9453)
% 0.92/1.06 [947]~P46(x9473)+P8(x9471,x9472,x9473)+~P8(f9(x9471,x9474,x9473),f9(x9472,x9474,x9473),x9473)+P8(x9474,f3(x9473),x9473)
% 0.92/1.06 [948]~P46(x9483)+P8(x9481,x9482,x9483)+~P8(f9(x9484,x9481,x9483),f9(x9484,x9482,x9483),x9483)+P8(x9484,f3(x9483),x9483)
% 0.92/1.06 [949]~P46(x9493)+P8(x9491,x9492,x9493)+~P8(f9(x9494,x9492,x9493),f9(x9494,x9491,x9493),x9493)+P8(f3(x9493),x9494,x9493)
% 0.92/1.06 [950]~P46(x9503)+P8(x9501,x9502,x9503)+~P8(f9(x9502,x9504,x9503),f9(x9501,x9504,x9503),x9503)+P8(f3(x9503),x9504,x9503)
% 0.92/1.06 [954]~P46(x9542)+~P8(f9(x9543,x9541,x9542),f9(x9544,x9541,x9542),x9542)+P8(x9541,f3(x9542),x9542)+P8(f3(x9542),x9541,x9542)
% 0.92/1.06 [955]~P46(x9552)+~P8(f9(x9551,x9553,x9552),f9(x9551,x9554,x9552),x9552)+P8(x9551,f3(x9552),x9552)+P8(f3(x9552),x9551,x9552)
% 0.92/1.06 [960]~P46(x9603)+P8(x9601,x9602,x9603)+~P8(f9(x9604,x9602,x9603),f9(x9604,x9601,x9603),x9603)+~P8(x9604,f3(x9603),x9603)
% 0.92/1.06 [961]~P46(x9613)+P12(x9611,x9612,x9613)+~P12(f9(x9614,x9612,x9613),f9(x9614,x9611,x9613),x9613)+~P8(x9614,f3(x9613),x9613)
% 0.92/1.06 [962]~P35(x9623)+P8(x9621,x9622,x9623)+~P8(f9(x9624,x9621,x9623),f9(x9624,x9622,x9623),x9623)+~P12(f3(x9623),x9624,x9623)
% 0.92/1.06 [963]~P35(x9633)+P8(x9631,x9632,x9633)+~P8(f9(x9631,x9634,x9633),f9(x9632,x9634,x9633),x9633)+~P12(f3(x9633),x9634,x9633)
% 0.92/1.06 [964]~P36(x9643)+P8(x9641,x9642,x9643)+~P12(f3(x9643),x9642,x9643)+~P8(f33(x9641,x9644,x9643),f33(x9642,x9644,x9643),x9643)
% 0.92/1.06 [965]~P46(x9653)+P8(x9651,x9652,x9653)+~P8(f9(x9654,x9651,x9653),f9(x9654,x9652,x9653),x9653)+~P8(f3(x9653),x9654,x9653)
% 0.92/1.06 [966]~P47(x9663)+P8(x9661,x9662,x9663)+~P8(f9(x9664,x9661,x9663),f9(x9664,x9662,x9663),x9663)+~P12(f3(x9663),x9664,x9663)
% 0.92/1.06 [967]~P47(x9673)+P8(x9671,x9672,x9673)+~P8(f9(x9671,x9674,x9673),f9(x9672,x9674,x9673),x9673)+~P12(f3(x9673),x9674,x9673)
% 0.92/1.06 [968]~P35(x9683)+P12(x9681,x9682,x9683)+~P12(f9(x9684,x9681,x9683),f9(x9684,x9682,x9683),x9683)+~P8(f3(x9683),x9684,x9683)
% 0.92/1.06 [969]~P35(x9693)+P12(x9691,x9692,x9693)+~P12(f9(x9691,x9694,x9693),f9(x9692,x9694,x9693),x9693)+~P8(f3(x9693),x9694,x9693)
% 0.92/1.06 [970]~P46(x9703)+P12(x9701,x9702,x9703)+~P12(f9(x9704,x9701,x9703),f9(x9704,x9702,x9703),x9703)+~P8(f3(x9703),x9704,x9703)
% 0.92/1.06 [974]~P36(x9743)+P12(x9741,x9742,x9743)+~P12(f3(x9743),x9742,x9743)+~P12(f33(x9741,f32(x9744),x9743),f33(x9742,f32(x9744),x9743),x9743)
% 0.92/1.06 [620]~P40(x6203)+~P15(x6203)+E(x6201,x6202)+~E(f48(f48(f4(x6203),x6204),x6201),f48(f48(f4(x6203),x6204),x6202))
% 0.92/1.06 [789]~P36(x7892)+~P8(x7891,x7894,x7892)+~P8(f3(x7892),x7893,x7892)+P8(x7891,f48(f48(f4(x7892),x7893),x7894),x7892)
% 0.92/1.06 [743]~P28(x7433)+~P8(x7434,x7435,x7433)+P8(x7431,x7432,x7433)+~E(f5(x7434,x7435,x7433),f5(x7431,x7432,x7433))
% 0.92/1.06 [744]~P28(x7443)+~P8(x7444,x7445,x7443)+P8(x7441,x7442,x7443)+~E(f5(x7441,x7442,x7443),f5(x7444,x7445,x7443))
% 0.92/1.06 [745]~P28(x7453)+~P12(x7455,x7454,x7453)+P12(x7451,x7452,x7453)+~E(f5(x7454,x7455,x7453),f5(x7452,x7451,x7453))
% 0.92/1.06 [746]~P28(x7463)+~P12(x7465,x7464,x7463)+P12(x7461,x7462,x7463)+~E(f5(x7462,x7461,x7463),f5(x7464,x7465,x7463))
% 0.92/1.06 [888]~P30(x8881)+~P8(x8883,x8885,x8881)+~P8(x8882,x8884,x8881)+P8(f48(f48(f4(x8881),x8882),x8883),f48(f48(f4(x8881),x8884),x8885),x8881)
% 0.92/1.06 [889]~P30(x8891)+~P8(x8893,x8895,x8891)+~P12(x8892,x8894,x8891)+P8(f48(f48(f4(x8891),x8892),x8893),f48(f48(f4(x8891),x8894),x8895),x8891)
% 0.92/1.06 [890]~P30(x8901)+~P8(x8902,x8904,x8901)+~P12(x8903,x8905,x8901)+P8(f48(f48(f4(x8901),x8902),x8903),f48(f48(f4(x8901),x8904),x8905),x8901)
% 0.92/1.06 [891]~P27(x8911)+~P12(x8913,x8915,x8911)+~P12(x8912,x8914,x8911)+P12(f48(f48(f4(x8911),x8912),x8913),f48(f48(f4(x8911),x8914),x8915),x8911)
% 0.92/1.06 [929]~P28(x9292)+~P12(x9295,x9294,x9292)+~P12(x9291,f48(f48(f4(x9292),x9293),x9295),x9292)+P12(x9291,f48(f48(f4(x9292),x9293),x9294),x9292)
% 0.92/1.06 [521]~P2(x5212)+~P57(x5212)+~P43(x5212)+~P44(x5212)+~E(f33(x5211,f3(a2),x5212),f3(x5212))
% 0.92/1.06 [715]~P29(x7152)+~P12(f3(x7152),x7151,x7152)+~P12(f3(x7152),x7153,x7152)+E(x7151,f3(x7152))+~E(f48(f48(f4(x7152),x7153),x7151),f3(x7152))
% 0.92/1.06 [716]~P29(x7162)+~P12(f3(x7162),x7163,x7162)+~P12(f3(x7162),x7161,x7162)+E(x7161,f3(x7162))+~E(f48(f48(f4(x7162),x7161),x7163),f3(x7162))
% 0.92/1.06 [951]~P36(x9513)+~P8(x9511,x9514,x9513)+~P12(f3(x9513),x9511,x9513)+P8(f33(x9511,x9512,x9513),f33(x9514,x9512,x9513),x9513)+~P8(f3(a2),x9512,a2)
% 0.92/1.06 [847]~P36(x8474)+E(x8471,x8472)+~P12(f3(x8474),x8472,x8474)+~P12(f3(x8474),x8471,x8474)+~E(f33(x8471,f32(x8473),x8474),f33(x8472,f32(x8473),x8474))
% 0.92/1.06 [798]~P4(x7982)+~P5(x7982)+~P8(x7981,x7984,x7982)+~P12(f3(x7982),x7983,x7982)+P8(x7981,f48(f48(f4(x7982),x7983),x7984),x7982)
% 0.92/1.06 [799]~P4(x7992)+~P5(x7992)+~P12(x7991,x7994,x7992)+~P8(f3(x7992),x7993,x7992)+P8(x7991,f48(f48(f4(x7992),x7993),x7994),x7992)
% 0.92/1.06 [800]~P4(x8002)+~P5(x8002)+~P12(x8001,x8004,x8002)+~P12(f3(x8002),x8003,x8002)+P12(x8001,f48(f48(f4(x8002),x8003),x8004),x8002)
% 0.92/1.06 [801]~P4(x8012)+~P5(x8012)+~P12(x8011,x8013,x8012)+~P12(f3(x8012),x8014,x8012)+P12(x8011,f48(f48(f4(x8012),x8013),x8014),x8012)
% 0.92/1.06 [937]~P40(x9374)+~P15(x9374)+E(x9371,x9372)+E(x9373,f3(x9374))+~E(f48(f48(f4(x9374),x9375),f9(x9373,x9371,x9374)),f48(f48(f4(x9374),x9375),f9(x9373,x9372,x9374)))
% 0.92/1.06 [1007]~P40(x10075)+~P15(x10075)+E(x10071,x10072)+E(x10073,x10074)+~E(f48(f48(f4(x10075),f9(x10073,x10071,x10075)),f9(x10074,x10072,x10075)),f48(f48(f4(x10075),f9(x10073,x10072,x10075)),f9(x10074,x10071,x10075)))
% 0.92/1.06 [468]~P2(x4682)+~P57(x4682)+~P43(x4682)+~P44(x4682)+E(x4681,f3(a2))+E(f33(f3(x4682),x4681,x4682),f3(x4682))
% 0.92/1.06 [522]~P2(x5222)+~P57(x5222)+~P43(x5222)+~P44(x5222)+~E(f33(x5221,x5223,x5222),f3(x5222))+E(x5221,f3(x5222))
% 0.92/1.06 [913]~P36(x9134)+E(x9131,x9132)+~P12(f3(x9134),x9132,x9134)+~P12(f3(x9134),x9131,x9134)+~E(f33(x9131,x9133,x9134),f33(x9132,x9133,x9134))+~P8(f3(a2),x9133,a2)
% 0.92/1.06 [977]~P35(x9773)+~P8(x9772,x9775,x9773)+~P8(x9771,x9774,x9773)+~P8(f3(x9773),x9774,x9773)+~P12(f3(x9773),x9772,x9773)+P8(f9(x9771,x9772,x9773),f9(x9774,x9775,x9773),x9773)
% 0.92/1.06 [978]~P35(x9783)+~P8(x9782,x9785,x9783)+~P8(x9781,x9784,x9783)+~P12(f3(x9783),x9782,x9783)+~P12(f3(x9783),x9781,x9783)+P8(f9(x9781,x9782,x9783),f9(x9784,x9785,x9783),x9783)
% 0.92/1.06 [979]~P35(x9793)+~P8(x9792,x9795,x9793)+~P12(x9791,x9794,x9793)+~P8(f3(x9793),x9791,x9793)+~P12(f3(x9793),x9792,x9793)+P8(f9(x9791,x9792,x9793),f9(x9794,x9795,x9793),x9793)
% 0.92/1.06 [980]~P35(x9803)+~P8(x9801,x9804,x9803)+~P12(x9802,x9805,x9803)+~P8(f3(x9803),x9802,x9803)+~P12(f3(x9803),x9801,x9803)+P8(f9(x9801,x9802,x9803),f9(x9804,x9805,x9803),x9803)
% 0.92/1.06 [981]~P50(x9813)+~P12(x9812,x9815,x9813)+~P12(x9811,x9814,x9813)+~P12(f3(x9813),x9814,x9813)+~P12(f3(x9813),x9812,x9813)+P12(f9(x9811,x9812,x9813),f9(x9814,x9815,x9813),x9813)
% 0.92/1.06 [982]~P50(x9823)+~P12(x9822,x9825,x9823)+~P12(x9821,x9824,x9823)+~P12(f3(x9823),x9822,x9823)+~P12(f3(x9823),x9821,x9823)+P12(f9(x9821,x9822,x9823),f9(x9824,x9825,x9823),x9823)
% 0.92/1.06 [1002]~P7(x10022)+~P7(x10021)+~P10(x10026,x10022,x10025)+~P10(f35(x10026,x10023,x10025,a51),x10021,x10027)+P7(f17(x10021,x10022,x10023))+~E(f48(f48(a46,x10024),x10025),a54)
% 0.92/1.06 [1003]~P7(x10032)+~P7(x10031)+~P10(x10036,x10032,x10034)+~P10(f35(x10036,x10033,x10034,a51),x10031,x10037)+P7(f17(x10031,x10032,x10033))+~E(f48(f48(a46,x10034),x10035),a54)
% 0.92/1.06 %EqnAxiom
% 0.92/1.06 [1]E(x11,x11)
% 0.92/1.06 [2]E(x22,x21)+~E(x21,x22)
% 0.92/1.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.92/1.06 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.92/1.06 [5]~E(x51,x52)+E(f10(x51),f10(x52))
% 0.92/1.06 [6]~E(x61,x62)+E(f48(x61,x63),f48(x62,x63))
% 0.92/1.06 [7]~E(x71,x72)+E(f48(x73,x71),f48(x73,x72))
% 0.92/1.06 [8]~E(x81,x82)+E(f29(x81),f29(x82))
% 0.92/1.06 [9]~E(x91,x92)+E(f4(x91),f4(x92))
% 0.92/1.06 [10]~E(x101,x102)+E(f11(x101),f11(x102))
% 0.92/1.06 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 0.92/1.06 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 0.92/1.06 [13]~E(x131,x132)+E(f9(x131,x133,x134),f9(x132,x133,x134))
% 0.92/1.06 [14]~E(x141,x142)+E(f9(x143,x141,x144),f9(x143,x142,x144))
% 0.92/1.06 [15]~E(x151,x152)+E(f9(x153,x154,x151),f9(x153,x154,x152))
% 0.92/1.06 [16]~E(x161,x162)+E(f31(x161,x163,x164),f31(x162,x163,x164))
% 0.92/1.06 [17]~E(x171,x172)+E(f31(x173,x171,x174),f31(x173,x172,x174))
% 0.92/1.06 [18]~E(x181,x182)+E(f31(x183,x184,x181),f31(x183,x184,x182))
% 0.92/1.06 [19]~E(x191,x192)+E(f28(x191,x193),f28(x192,x193))
% 0.92/1.06 [20]~E(x201,x202)+E(f28(x203,x201),f28(x203,x202))
% 0.92/1.06 [21]~E(x211,x212)+E(f21(x211,x213,x214,x215,x216),f21(x212,x213,x214,x215,x216))
% 0.92/1.06 [22]~E(x221,x222)+E(f21(x223,x221,x224,x225,x226),f21(x223,x222,x224,x225,x226))
% 0.92/1.06 [23]~E(x231,x232)+E(f21(x233,x234,x231,x235,x236),f21(x233,x234,x232,x235,x236))
% 0.92/1.06 [24]~E(x241,x242)+E(f21(x243,x244,x245,x241,x246),f21(x243,x244,x245,x242,x246))
% 0.92/1.06 [25]~E(x251,x252)+E(f21(x253,x254,x255,x256,x251),f21(x253,x254,x255,x256,x252))
% 0.92/1.06 [26]~E(x261,x262)+E(f30(x261,x263,x264),f30(x262,x263,x264))
% 0.92/1.06 [27]~E(x271,x272)+E(f30(x273,x271,x274),f30(x273,x272,x274))
% 0.92/1.06 [28]~E(x281,x282)+E(f30(x283,x284,x281),f30(x283,x284,x282))
% 0.92/1.06 [29]~E(x291,x292)+E(f5(x291,x293,x294),f5(x292,x293,x294))
% 0.92/1.06 [30]~E(x301,x302)+E(f5(x303,x301,x304),f5(x303,x302,x304))
% 0.92/1.06 [31]~E(x311,x312)+E(f5(x313,x314,x311),f5(x313,x314,x312))
% 0.92/1.06 [32]~E(x321,x322)+E(f32(x321),f32(x322))
% 0.92/1.06 [33]~E(x331,x332)+E(f16(x331,x333,x334),f16(x332,x333,x334))
% 0.92/1.06 [34]~E(x341,x342)+E(f16(x343,x341,x344),f16(x343,x342,x344))
% 0.92/1.06 [35]~E(x351,x352)+E(f16(x353,x354,x351),f16(x353,x354,x352))
% 0.92/1.06 [36]~E(x361,x362)+E(f19(x361),f19(x362))
% 0.92/1.06 [37]~E(x371,x372)+E(f33(x371,x373,x374),f33(x372,x373,x374))
% 0.92/1.06 [38]~E(x381,x382)+E(f33(x383,x381,x384),f33(x383,x382,x384))
% 0.92/1.06 [39]~E(x391,x392)+E(f33(x393,x394,x391),f33(x393,x394,x392))
% 0.92/1.06 [40]~E(x401,x402)+E(f20(x401,x403,x404),f20(x402,x403,x404))
% 0.92/1.06 [41]~E(x411,x412)+E(f20(x413,x411,x414),f20(x413,x412,x414))
% 0.92/1.06 [42]~E(x421,x422)+E(f20(x423,x424,x421),f20(x423,x424,x422))
% 0.92/1.06 [43]~E(x431,x432)+E(f13(x431),f13(x432))
% 0.92/1.06 [44]~E(x441,x442)+E(f23(x441,x443,x444),f23(x442,x443,x444))
% 0.92/1.06 [45]~E(x451,x452)+E(f23(x453,x451,x454),f23(x453,x452,x454))
% 0.92/1.06 [46]~E(x461,x462)+E(f23(x463,x464,x461),f23(x463,x464,x462))
% 0.92/1.06 [47]~E(x471,x472)+E(f27(x471,x473),f27(x472,x473))
% 0.92/1.06 [48]~E(x481,x482)+E(f27(x483,x481),f27(x483,x482))
% 0.92/1.06 [49]~E(x491,x492)+E(f17(x491,x493,x494),f17(x492,x493,x494))
% 0.92/1.06 [50]~E(x501,x502)+E(f17(x503,x501,x504),f17(x503,x502,x504))
% 0.92/1.06 [51]~E(x511,x512)+E(f17(x513,x514,x511),f17(x513,x514,x512))
% 0.92/1.06 [52]~E(x521,x522)+E(f64(x521),f64(x522))
% 0.92/1.06 [53]~E(x531,x532)+E(f22(x531,x533,x534,x535,x536),f22(x532,x533,x534,x535,x536))
% 0.92/1.06 [54]~E(x541,x542)+E(f22(x543,x541,x544,x545,x546),f22(x543,x542,x544,x545,x546))
% 0.92/1.06 [55]~E(x551,x552)+E(f22(x553,x554,x551,x555,x556),f22(x553,x554,x552,x555,x556))
% 0.92/1.06 [56]~E(x561,x562)+E(f22(x563,x564,x565,x561,x566),f22(x563,x564,x565,x562,x566))
% 0.92/1.06 [57]~E(x571,x572)+E(f22(x573,x574,x575,x576,x571),f22(x573,x574,x575,x576,x572))
% 0.92/1.06 [58]~E(x581,x582)+E(f35(x581,x583,x584,x585),f35(x582,x583,x584,x585))
% 0.92/1.06 [59]~E(x591,x592)+E(f35(x593,x591,x594,x595),f35(x593,x592,x594,x595))
% 0.92/1.06 [60]~E(x601,x602)+E(f35(x603,x604,x601,x605),f35(x603,x604,x602,x605))
% 0.92/1.06 [61]~E(x611,x612)+E(f35(x613,x614,x615,x611),f35(x613,x614,x615,x612))
% 0.92/1.06 [62]~E(x621,x622)+E(f18(x621,x623),f18(x622,x623))
% 0.92/1.06 [63]~E(x631,x632)+E(f18(x633,x631),f18(x633,x632))
% 0.92/1.06 [64]~E(x641,x642)+E(f63(x641),f63(x642))
% 0.92/1.06 [65]~E(x651,x652)+E(f25(x651,x653,x654,x655),f25(x652,x653,x654,x655))
% 0.92/1.06 [66]~E(x661,x662)+E(f25(x663,x661,x664,x665),f25(x663,x662,x664,x665))
% 0.92/1.06 [67]~E(x671,x672)+E(f25(x673,x674,x671,x675),f25(x673,x674,x672,x675))
% 0.92/1.06 [68]~E(x681,x682)+E(f25(x683,x684,x685,x681),f25(x683,x684,x685,x682))
% 0.92/1.06 [69]~E(x691,x692)+E(f24(x691,x693),f24(x692,x693))
% 0.92/1.06 [70]~E(x701,x702)+E(f24(x703,x701),f24(x703,x702))
% 0.92/1.06 [71]~E(x711,x712)+E(f15(x711,x713,x714),f15(x712,x713,x714))
% 0.92/1.06 [72]~E(x721,x722)+E(f15(x723,x721,x724),f15(x723,x722,x724))
% 0.92/1.06 [73]~E(x731,x732)+E(f15(x733,x734,x731),f15(x733,x734,x732))
% 0.92/1.06 [74]~E(x741,x742)+E(f6(x741),f6(x742))
% 0.92/1.06 [75]~E(x751,x752)+E(f34(x751),f34(x752))
% 0.92/1.06 [76]~E(x761,x762)+E(f8(x761,x763),f8(x762,x763))
% 0.92/1.06 [77]~E(x771,x772)+E(f8(x773,x771),f8(x773,x772))
% 0.92/1.06 [78]~E(x781,x782)+E(f52(x781,x783),f52(x782,x783))
% 0.92/1.06 [79]~E(x791,x792)+E(f52(x793,x791),f52(x793,x792))
% 0.92/1.06 [80]~E(x801,x802)+E(f65(x801),f65(x802))
% 0.92/1.06 [81]~E(x811,x812)+E(f36(x811),f36(x812))
% 0.92/1.06 [82]~E(x821,x822)+E(f43(x821,x823,x824),f43(x822,x823,x824))
% 0.92/1.06 [83]~E(x831,x832)+E(f43(x833,x831,x834),f43(x833,x832,x834))
% 0.92/1.06 [84]~E(x841,x842)+E(f43(x843,x844,x841),f43(x843,x844,x842))
% 0.92/1.06 [85]~E(x851,x852)+E(f7(x851),f7(x852))
% 0.92/1.06 [86]~E(x861,x862)+E(f42(x861,x863,x864,x865),f42(x862,x863,x864,x865))
% 0.92/1.06 [87]~E(x871,x872)+E(f42(x873,x871,x874,x875),f42(x873,x872,x874,x875))
% 0.92/1.06 [88]~E(x881,x882)+E(f42(x883,x884,x881,x885),f42(x883,x884,x882,x885))
% 0.92/1.06 [89]~E(x891,x892)+E(f42(x893,x894,x895,x891),f42(x893,x894,x895,x892))
% 0.92/1.06 [90]~E(x901,x902)+E(f26(x901,x903,x904,x905),f26(x902,x903,x904,x905))
% 0.92/1.06 [91]~E(x911,x912)+E(f26(x913,x911,x914,x915),f26(x913,x912,x914,x915))
% 0.92/1.06 [92]~E(x921,x922)+E(f26(x923,x924,x921,x925),f26(x923,x924,x922,x925))
% 0.92/1.06 [93]~E(x931,x932)+E(f26(x933,x934,x935,x931),f26(x933,x934,x935,x932))
% 0.92/1.06 [94]~E(x941,x942)+E(f39(x941,x943,x944,x945),f39(x942,x943,x944,x945))
% 0.92/1.06 [95]~E(x951,x952)+E(f39(x953,x951,x954,x955),f39(x953,x952,x954,x955))
% 0.92/1.06 [96]~E(x961,x962)+E(f39(x963,x964,x961,x965),f39(x963,x964,x962,x965))
% 0.92/1.06 [97]~E(x971,x972)+E(f39(x973,x974,x975,x971),f39(x973,x974,x975,x972))
% 0.92/1.06 [98]~E(x981,x982)+E(f45(x981,x983,x984,x985),f45(x982,x983,x984,x985))
% 0.92/1.06 [99]~E(x991,x992)+E(f45(x993,x991,x994,x995),f45(x993,x992,x994,x995))
% 0.92/1.06 [100]~E(x1001,x1002)+E(f45(x1003,x1004,x1001,x1005),f45(x1003,x1004,x1002,x1005))
% 0.92/1.06 [101]~E(x1011,x1012)+E(f45(x1013,x1014,x1015,x1011),f45(x1013,x1014,x1015,x1012))
% 0.92/1.06 [102]~E(x1021,x1022)+E(f62(x1021),f62(x1022))
% 0.92/1.06 [103]~E(x1031,x1032)+E(f38(x1031,x1033),f38(x1032,x1033))
% 0.92/1.06 [104]~E(x1041,x1042)+E(f38(x1043,x1041),f38(x1043,x1042))
% 0.92/1.06 [105]~E(x1051,x1052)+E(f40(x1051,x1053,x1054,x1055),f40(x1052,x1053,x1054,x1055))
% 0.92/1.06 [106]~E(x1061,x1062)+E(f40(x1063,x1061,x1064,x1065),f40(x1063,x1062,x1064,x1065))
% 0.92/1.06 [107]~E(x1071,x1072)+E(f40(x1073,x1074,x1071,x1075),f40(x1073,x1074,x1072,x1075))
% 0.92/1.06 [108]~E(x1081,x1082)+E(f40(x1083,x1084,x1085,x1081),f40(x1083,x1084,x1085,x1082))
% 0.92/1.06 [109]~E(x1091,x1092)+E(f41(x1091,x1093,x1094),f41(x1092,x1093,x1094))
% 0.92/1.06 [110]~E(x1101,x1102)+E(f41(x1103,x1101,x1104),f41(x1103,x1102,x1104))
% 0.92/1.06 [111]~E(x1111,x1112)+E(f41(x1113,x1114,x1111),f41(x1113,x1114,x1112))
% 0.92/1.06 [112]~E(x1121,x1122)+E(f44(x1121,x1123,x1124,x1125),f44(x1122,x1123,x1124,x1125))
% 0.92/1.06 [113]~E(x1131,x1132)+E(f44(x1133,x1131,x1134,x1135),f44(x1133,x1132,x1134,x1135))
% 0.92/1.06 [114]~E(x1141,x1142)+E(f44(x1143,x1144,x1141,x1145),f44(x1143,x1144,x1142,x1145))
% 0.92/1.06 [115]~E(x1151,x1152)+E(f44(x1153,x1154,x1155,x1151),f44(x1153,x1154,x1155,x1152))
% 0.92/1.06 [116]~E(x1161,x1162)+E(f37(x1161,x1163),f37(x1162,x1163))
% 0.92/1.06 [117]~E(x1171,x1172)+E(f37(x1173,x1171),f37(x1173,x1172))
% 0.92/1.06 [118]~P1(x1181)+P1(x1182)+~E(x1181,x1182)
% 0.92/1.06 [119]~P2(x1191)+P2(x1192)+~E(x1191,x1192)
% 0.92/1.06 [120]~P35(x1201)+P35(x1202)+~E(x1201,x1202)
% 0.92/1.06 [121]~P3(x1211)+P3(x1212)+~E(x1211,x1212)
% 0.92/1.06 [122]~P36(x1221)+P36(x1222)+~E(x1221,x1222)
% 0.92/1.06 [123]~P4(x1231)+P4(x1232)+~E(x1231,x1232)
% 0.92/1.06 [124]~P5(x1241)+P5(x1242)+~E(x1241,x1242)
% 0.92/1.06 [125]~P37(x1251)+P37(x1252)+~E(x1251,x1252)
% 0.92/1.06 [126]~P22(x1261)+P22(x1262)+~E(x1261,x1262)
% 0.92/1.06 [127]~P27(x1271)+P27(x1272)+~E(x1271,x1272)
% 0.92/1.06 [128]~P23(x1281)+P23(x1282)+~E(x1281,x1282)
% 0.92/1.06 [129]~P29(x1291)+P29(x1292)+~E(x1291,x1292)
% 0.92/1.06 [130]~P33(x1301)+P33(x1302)+~E(x1301,x1302)
% 0.92/1.06 [131]~P34(x1311)+P34(x1312)+~E(x1311,x1312)
% 0.92/1.06 [132]~P31(x1321)+P31(x1322)+~E(x1321,x1322)
% 0.92/1.06 [133]~P32(x1331)+P32(x1332)+~E(x1331,x1332)
% 0.92/1.06 [134]~P6(x1341)+P6(x1342)+~E(x1341,x1342)
% 0.92/1.06 [135]~P47(x1351)+P47(x1352)+~E(x1351,x1352)
% 0.92/1.06 [136]~P7(x1361)+P7(x1362)+~E(x1361,x1362)
% 0.92/1.06 [137]~P16(x1371)+P16(x1372)+~E(x1371,x1372)
% 0.92/1.06 [138]~P48(x1381)+P48(x1382)+~E(x1381,x1382)
% 0.92/1.06 [139]~P56(x1391)+P56(x1392)+~E(x1391,x1392)
% 0.92/1.06 [140]~P30(x1401)+P30(x1402)+~E(x1401,x1402)
% 0.92/1.06 [141]~P49(x1411)+P49(x1412)+~E(x1411,x1412)
% 0.92/1.06 [142]~P18(x1421)+P18(x1422)+~E(x1421,x1422)
% 0.92/1.06 [143]~P21(x1431)+P21(x1432)+~E(x1431,x1432)
% 0.92/1.06 [144]~P39(x1441)+P39(x1442)+~E(x1441,x1442)
% 0.92/1.06 [145]~P41(x1451)+P41(x1452)+~E(x1451,x1452)
% 0.92/1.06 [146]~P42(x1461)+P42(x1462)+~E(x1461,x1462)
% 0.92/1.06 [147]~P50(x1471)+P50(x1472)+~E(x1471,x1472)
% 0.92/1.06 [148]~P57(x1481)+P57(x1482)+~E(x1481,x1482)
% 0.92/1.06 [149]~P43(x1491)+P43(x1492)+~E(x1491,x1492)
% 0.92/1.06 [150]~P44(x1501)+P44(x1502)+~E(x1501,x1502)
% 0.92/1.06 [151]~P24(x1511)+P24(x1512)+~E(x1511,x1512)
% 0.92/1.06 [152]~P19(x1521)+P19(x1522)+~E(x1521,x1522)
% 0.92/1.06 [153]~P38(x1531)+P38(x1532)+~E(x1531,x1532)
% 0.92/1.06 [154]P12(x1542,x1543,x1544)+~E(x1541,x1542)+~P12(x1541,x1543,x1544)
% 0.92/1.06 [155]P12(x1553,x1552,x1554)+~E(x1551,x1552)+~P12(x1553,x1551,x1554)
% 0.92/1.06 [156]P12(x1563,x1564,x1562)+~E(x1561,x1562)+~P12(x1563,x1564,x1561)
% 0.92/1.06 [157]P10(x1572,x1573,x1574)+~E(x1571,x1572)+~P10(x1571,x1573,x1574)
% 0.92/1.06 [158]P10(x1583,x1582,x1584)+~E(x1581,x1582)+~P10(x1583,x1581,x1584)
% 0.92/1.06 [159]P10(x1593,x1594,x1592)+~E(x1591,x1592)+~P10(x1593,x1594,x1591)
% 0.92/1.06 [160]P8(x1602,x1603,x1604)+~E(x1601,x1602)+~P8(x1601,x1603,x1604)
% 0.92/1.06 [161]P8(x1613,x1612,x1614)+~E(x1611,x1612)+~P8(x1613,x1611,x1614)
% 0.92/1.06 [162]P8(x1623,x1624,x1622)+~E(x1621,x1622)+~P8(x1623,x1624,x1621)
% 0.92/1.06 [163]~P46(x1631)+P46(x1632)+~E(x1631,x1632)
% 0.92/1.06 [164]P13(x1642,x1643,x1644)+~E(x1641,x1642)+~P13(x1641,x1643,x1644)
% 0.92/1.06 [165]P13(x1653,x1652,x1654)+~E(x1651,x1652)+~P13(x1653,x1651,x1654)
% 0.92/1.06 [166]P13(x1663,x1664,x1662)+~E(x1661,x1662)+~P13(x1663,x1664,x1661)
% 0.92/1.06 [167]~P58(x1671)+P58(x1672)+~E(x1671,x1672)
% 0.92/1.06 [168]~P51(x1681)+P51(x1682)+~E(x1681,x1682)
% 0.92/1.06 [169]~P40(x1691)+P40(x1692)+~E(x1691,x1692)
% 0.92/1.06 [170]~P17(x1701)+P17(x1702)+~E(x1701,x1702)
% 0.92/1.06 [171]P9(x1712,x1713,x1714,x1715,x1716,x1717)+~E(x1711,x1712)+~P9(x1711,x1713,x1714,x1715,x1716,x1717)
% 0.92/1.06 [172]P9(x1723,x1722,x1724,x1725,x1726,x1727)+~E(x1721,x1722)+~P9(x1723,x1721,x1724,x1725,x1726,x1727)
% 0.92/1.06 [173]P9(x1733,x1734,x1732,x1735,x1736,x1737)+~E(x1731,x1732)+~P9(x1733,x1734,x1731,x1735,x1736,x1737)
% 0.92/1.06 [174]P9(x1743,x1744,x1745,x1742,x1746,x1747)+~E(x1741,x1742)+~P9(x1743,x1744,x1745,x1741,x1746,x1747)
% 0.92/1.06 [175]P9(x1753,x1754,x1755,x1756,x1752,x1757)+~E(x1751,x1752)+~P9(x1753,x1754,x1755,x1756,x1751,x1757)
% 0.92/1.06 [176]P9(x1763,x1764,x1765,x1766,x1767,x1762)+~E(x1761,x1762)+~P9(x1763,x1764,x1765,x1766,x1767,x1761)
% 0.92/1.06 [177]~P53(x1771)+P53(x1772)+~E(x1771,x1772)
% 0.92/1.06 [178]~P15(x1781)+P15(x1782)+~E(x1781,x1782)
% 0.92/1.06 [179]P11(x1792,x1793)+~E(x1791,x1792)+~P11(x1791,x1793)
% 0.92/1.06 [180]P11(x1803,x1802)+~E(x1801,x1802)+~P11(x1803,x1801)
% 0.92/1.06 [181]~P28(x1811)+P28(x1812)+~E(x1811,x1812)
% 0.92/1.06 [182]~P26(x1821)+P26(x1822)+~E(x1821,x1822)
% 0.92/1.06 [183]~P55(x1831)+P55(x1832)+~E(x1831,x1832)
% 0.92/1.06 [184]~P25(x1841)+P25(x1842)+~E(x1841,x1842)
% 0.92/1.06 [185]~P52(x1851)+P52(x1852)+~E(x1851,x1852)
% 0.92/1.06 [186]~P45(x1861)+P45(x1862)+~E(x1861,x1862)
% 0.92/1.06 [187]P14(x1872,x1873,x1874)+~E(x1871,x1872)+~P14(x1871,x1873,x1874)
% 0.92/1.06 [188]P14(x1883,x1882,x1884)+~E(x1881,x1882)+~P14(x1883,x1881,x1884)
% 0.92/1.06 [189]P14(x1893,x1894,x1892)+~E(x1891,x1892)+~P14(x1893,x1894,x1891)
% 0.92/1.06 [190]~P54(x1901)+P54(x1902)+~E(x1901,x1902)
% 0.92/1.06 [191]~P20(x1911)+P20(x1912)+~E(x1911,x1912)
% 0.92/1.06
% 0.92/1.06 %-------------------------------------------
% 0.92/1.06 cnf(1119,plain,
% 0.92/1.06 (~E(f48(f48(a12,x11191),x11192),f11(x11193))),
% 0.92/1.06 inference(rename_variables,[],[379])).
% 0.92/1.06 cnf(1122,plain,
% 0.92/1.06 (P12(x11221,f9(x11221,x11221,a2),a2)),
% 0.92/1.06 inference(rename_variables,[],[294])).
% 0.92/1.06 cnf(1125,plain,
% 0.92/1.06 (P12(x11251,f9(x11251,x11251,a2),a2)),
% 0.92/1.06 inference(rename_variables,[],[294])).
% 0.92/1.06 cnf(1134,plain,
% 0.92/1.06 (~P12(f32(x11341),x11341,a2)),
% 0.92/1.06 inference(rename_variables,[],[391])).
% 0.92/1.06 cnf(1137,plain,
% 0.92/1.06 (~P12(f32(x11371),x11371,a2)),
% 0.92/1.06 inference(rename_variables,[],[391])).
% 0.92/1.06 cnf(1140,plain,
% 0.92/1.06 (~P8(f48(f48(f4(a2),x11401),x11402),x11402,a2)),
% 0.92/1.06 inference(rename_variables,[],[393])).
% 0.92/1.06 cnf(1143,plain,
% 0.92/1.06 (~P8(f48(f48(f4(a2),x11431),x11432),x11432,a2)),
% 0.92/1.06 inference(rename_variables,[],[393])).
% 0.92/1.06 cnf(1146,plain,
% 0.92/1.06 (P12(x11461,f9(x11461,x11461,a2),a2)),
% 0.92/1.06 inference(rename_variables,[],[294])).
% 0.92/1.06 cnf(1149,plain,
% 0.92/1.06 (P12(x11491,f9(x11491,x11491,a2),a2)),
% 0.92/1.06 inference(rename_variables,[],[294])).
% 0.92/1.06 cnf(1163,plain,
% 0.92/1.06 (~P8(f48(f48(f4(a2),x11631),x11632),x11632,a2)),
% 0.92/1.06 inference(rename_variables,[],[393])).
% 0.92/1.06 cnf(1166,plain,
% 0.92/1.06 (~P8(f48(f48(f4(a2),x11661),x11662),x11662,a2)),
% 0.92/1.06 inference(rename_variables,[],[393])).
% 0.92/1.06 cnf(1175,plain,
% 0.92/1.06 (~E(f48(f48(a12,x11751),x11752),f11(x11753))),
% 0.92/1.07 inference(rename_variables,[],[379])).
% 0.92/1.07 cnf(1178,plain,
% 0.92/1.07 (~E(f48(f48(a12,x11781),x11782),f11(x11783))),
% 0.92/1.07 inference(rename_variables,[],[379])).
% 0.92/1.07 cnf(1184,plain,
% 0.92/1.07 (~E(f48(f48(a46,x11841),x11842),f34(x11843))),
% 0.92/1.07 inference(rename_variables,[],[381])).
% 0.92/1.07 cnf(1187,plain,
% 0.92/1.07 (~E(f48(f48(a46,x11871),x11872),f34(x11873))),
% 0.92/1.07 inference(rename_variables,[],[381])).
% 0.92/1.07 cnf(1192,plain,
% 0.92/1.07 ($false),
% 0.92/1.07 inference(scs_inference,[],[397,383,192,363,368,254,391,1134,1137,294,1122,1125,1146,1149,379,1119,1175,1178,381,1184,1187,393,1140,1143,1163,1166,308,2,530,483,446,1079,713,712,711,674,652,650,648,646,605,547,546,544,543,539,537,536,496,463,1078,1077,1075,1074,1072,1071,985]),
% 0.92/1.07 ['proof']).
% 0.92/1.07 % SZS output end Proof
% 0.92/1.07 % Total time :0.090000s
%------------------------------------------------------------------------------