TSTP Solution File: LCL850-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL850-1 : 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 : n018.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 06:51:22 EDT 2023
% Result : Unsatisfiable 0.94s 1.24s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL850-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 01:28:43 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.57 start to proof:theBenchmark
% 0.86/1.19 %-------------------------------------------
% 0.86/1.19 % File :CSE---1.6
% 0.86/1.19 % Problem :theBenchmark
% 0.86/1.19 % Transform :cnf
% 0.86/1.19 % Format :tptp:raw
% 0.86/1.19 % Command :java -jar mcs_scs.jar %d %s
% 0.86/1.19
% 0.86/1.19 % Result :Theorem 0.230000s
% 0.86/1.19 % Output :CNFRefutation 0.230000s
% 0.86/1.19 %-------------------------------------------
% 0.86/1.19 %------------------------------------------------------------------------------
% 0.86/1.19 % File : LCL850-1 : TPTP v8.1.2. Released v4.1.0.
% 0.86/1.19 % Domain : Logic Calculi
% 0.86/1.19 % Problem : Strong normalization of typed lambda calculus 268_7
% 0.86/1.19 % Version : Especial.
% 0.86/1.19 % English :
% 0.86/1.19
% 0.86/1.19 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.86/1.19 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.86/1.19 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.86/1.19 % Source : [Nip10]
% 0.86/1.19 % Names : StrongNorm-268_7 [Nip10]
% 0.86/1.19
% 0.86/1.19 % Status : Unsatisfiable
% 0.86/1.19 % Rating : 0.10 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.40 v6.4.0, 0.33 v6.3.0, 0.27 v6.2.0, 0.50 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.55 v5.3.0, 0.56 v5.2.0, 0.44 v5.1.0, 0.53 v5.0.0, 0.50 v4.1.0
% 0.86/1.19 % Syntax : Number of clauses : 902 ( 184 unt; 108 nHn; 503 RR)
% 0.86/1.19 % Number of literals : 2195 ( 543 equ;1219 neg)
% 0.86/1.19 % Maximal clause size : 6 ( 2 avg)
% 0.86/1.19 % Maximal term depth : 7 ( 1 avg)
% 0.86/1.19 % Number of predicates : 59 ( 58 usr; 0 prp; 1-6 aty)
% 0.86/1.19 % Number of functors : 59 ( 59 usr; 11 con; 0-5 aty)
% 0.86/1.19 % Number of variables : 2811 ( 464 sgn)
% 0.86/1.19 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.86/1.19
% 0.86/1.19 % Comments :
% 0.86/1.19 %------------------------------------------------------------------------------
% 0.86/1.19 cnf(cls_eq__add__iff1_1,axiom,
% 0.86/1.19 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.86/1.19 | 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)) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_zero__le__power_0,axiom,
% 0.86/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.86/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_diff__is__0__eq_1,axiom,
% 0.86/1.19 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/1.19 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_diff__is__0__eq_0,axiom,
% 0.86/1.19 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/1.19 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_min__diff__distrib__left_0,axiom,
% 0.86/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/1.19 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_max__less__iff__conj_2,axiom,
% 0.86/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.19 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.86/1.19 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.86/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_div__mult__self1__is__m_0,axiom,
% 0.86/1.19 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),V_n,tc_nat) = V_m
% 0.86/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_div__mult__self__is__m_0,axiom,
% 0.86/1.19 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
% 0.86/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 0.86/1.19 ( 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)
% 0.86/1.19 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.86/1.19 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.86/1.19 | V_m = V_n ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_add__strict__increasing_0,axiom,
% 0.86/1.19 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/1.19 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/1.19 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.86/1.19 | ~ c_lessequals(V_b,V_c,T_a)
% 0.86/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_lem0_0,axiom,
% 0.86/1.19 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat)
% 0.86/1.19 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_add__is__1_4,axiom,
% 0.86/1.19 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)) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_of__nat__le__iff_0,axiom,
% 0.86/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/1.19 | c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.19 | ~ 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) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_of__nat__le__iff_1,axiom,
% 0.86/1.19 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/1.19 | 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)
% 0.86/1.19 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_subst__preserves__beta_0,axiom,
% 0.86/1.19 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i))
% 0.86/1.19 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.86/1.19 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_min__less__iff__conj_2,axiom,
% 0.86/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.19 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 0.86/1.19 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.86/1.19 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.86/1.19 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)) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.86/1.19 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)) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.86/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.86/1.19 | 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)) ) ).
% 0.86/1.19
% 0.86/1.19 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.86/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.86/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.86/1.19 | 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)) ) ).
% 0.86/1.19
% 0.86/1.20 cnf(cls_max__Suc__Suc_0,axiom,
% 0.86/1.20 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)) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_less__Suc0_0,axiom,
% 0.86/1.20 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.86/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_div__le__dividend_0,axiom,
% 0.86/1.20 c_lessequals(c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_subst__Var_2,axiom,
% 0.86/1.20 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.86/1.20 | V_i = V_k
% 0.86/1.20 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__diff__add__eq2_0,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__diff__add__eq1_0,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_diff__add__cancel_0,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.86/1.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__diff__split__asm_1,axiom,
% 0.86/1.20 ( ~ 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)))
% 0.86/1.20 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__diff__split_1,axiom,
% 0.86/1.20 ( ~ 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)))
% 0.86/1.20 | hBOOL(hAPP(V_P,V_d)) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_mult__le__cancel2_1,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_mult__le__cancel1_1,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_class__semiring_Opwr__pwr_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat_Oinducts_1,axiom,
% 0.86/1.20 ( hBOOL(hAPP(V_P,V_nat))
% 0.86/1.20 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinducts__1(V_P))))
% 0.86/1.20 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_power__Suc2_0,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_power__Suc_0,axiom,
% 0.86/1.20 ( ~ class_Power_Opower(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_class__semiring_Opwr__Suc_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_add__le__mono_0,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.86/1.20 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_add__mono_0,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.86/1.20 | 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)
% 0.86/1.20 | ~ c_lessequals(V_c,V_d,T_a)
% 0.86/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_less__Suc__eq__le_1,axiom,
% 0.86/1.20 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.86/1.20 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_less__Suc__eq__le_0,axiom,
% 0.86/1.20 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_le__less__Suc__eq_1,axiom,
% 0.86/1.20 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 0.86/1.20 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.20 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__mult__commute_0,axiom,
% 0.86/1.20 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.20 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_diff__less__Suc_0,axiom,
% 0.86/1.20 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.86/1.20 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_App_I4_J_0,axiom,
% 0.86/1.20 c_InductTermi_OIT(v_ta____) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_order__less__trans_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/1.20 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_xt1_I10_J_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.86/1.20 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_typing__elims_I2_J_1,axiom,
% 0.86/1.20 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 0.86/1.20 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 0.86/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 0.86/1.20 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.86/1.20 | ~ c_lessequals(V_x,V_z,T_a)
% 0.86/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.86/1.20 | ~ c_lessequals(V_x,V_z,T_a)
% 0.86/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Ole__infI_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 0.86/1.20 | ~ c_lessequals(V_x,V_b,T_a)
% 0.86/1.20 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Oinf__le2_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Oinf__le1_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat_Oinduct_1,axiom,
% 0.86/1.20 ( hBOOL(hAPP(V_P,V_nat))
% 0.86/1.20 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinduct__1(V_P))))
% 0.86/1.20 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_mult__strict__mono_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.86/1.20 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_power__0__Suc_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.86/1.20 | ~ class_Power_Opower(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_add__Suc__right_0,axiom,
% 0.86/1.20 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)) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_add__Suc_0,axiom,
% 0.86/1.20 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)) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_split__div__lemma_0,axiom,
% 0.86/1.20 ( V_q = c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Otimes__class_Otimes(V_n,c_Suc(V_q),tc_nat),tc_nat)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_n,V_q,tc_nat),V_m,tc_nat)
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_eq__add__iff2_1,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__less__add__iff1_0,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | ~ 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)
% 0.86/1.20 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__less__add__iff1_1,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | ~ 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)
% 0.86/1.20 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__less__add__iff2_0,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | ~ 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)
% 0.86/1.20 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__less__add__iff2_1,axiom,
% 0.86/1.20 ( 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)
% 0.86/1.20 | ~ 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)
% 0.86/1.20 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_eq__add__iff2_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.86/1.20 | 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)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_eq__add__iff1_0,axiom,
% 0.86/1.20 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.86/1.20 | 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)
% 0.86/1.20 | 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 ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_infinite__descent0_2,axiom,
% 0.86/1.20 ( hBOOL(hAPP(V_P,V_n))
% 0.86/1.20 | hBOOL(hAPP(V_P,V_x))
% 0.86/1.20 | ~ c_HOL_Oord__class_Oless(V_x,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P),tc_nat)
% 0.86/1.20 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_less__add__Suc1_0,axiom,
% 0.86/1.20 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_less__add__Suc2_0,axiom,
% 0.86/1.20 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.86/1.20 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_le__diff__conv2_0,axiom,
% 0.86/1.20 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.86/1.20 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.86/1.20 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_le__diff__conv2_1,axiom,
% 0.86/1.20 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.86/1.20 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.86/1.20 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.86/1.20 | ~ c_lessequals(V_y,V_z,T_a)
% 0.86/1.20 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Osup__least_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 0.86/1.20 | ~ c_lessequals(V_z,V_x,T_a)
% 0.86/1.20 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Ole__supI_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 0.86/1.20 | ~ c_lessequals(V_b,V_x,T_a)
% 0.86/1.20 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_le__maxI1_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_le__maxI2_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_bot__least_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Obot(T_a)
% 0.86/1.20 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_nat__rec__Suc_0,axiom,
% 0.86/1.20 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)) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_gb__semiring_Opwr__pwr_0,axiom,
% 0.86/1.20 ( 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))
% 0.86/1.20 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 0.86/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.20 | 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) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_add__increasing_0,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/1.20 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/1.20 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.86/1.20 | ~ c_lessequals(V_b,V_c,T_a)
% 0.86/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/1.20
% 0.86/1.20 cnf(cls_add__increasing2_0,axiom,
% 0.86/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/1.20 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/1.20 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.86/1.20 | ~ c_lessequals(V_b,V_a,T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_upt_Oinduct_1,axiom,
% 0.86/1.21 ( hBOOL(hAPP(V_P,V_nat))
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xupt__Xinduct__1(V_P))))
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_type_Osimps_I1_J_0,axiom,
% 0.86/1.21 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H)
% 0.86/1.21 | V_nat = V_nat_H ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_replicate_Oinduct_1,axiom,
% 0.86/1.21 ( hBOOL(hAPP(V_P,V_nat))
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xreplicate__Xinduct__1(V_P))))
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_Suc__leI_0,axiom,
% 0.86/1.21 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_Suc__le__eq_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_less__eq__Suc__le_0,axiom,
% 0.86/1.21 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_less__eq__Suc__le_1,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.86/1.21 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__lessD1_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_trans__less__add1_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_trans__less__add2_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_le__add__iff2_1,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_le__add__iff2_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_le__add__iff1_1,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_le__add__iff1_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_Suc__diff__le_0,axiom,
% 0.86/1.21 ( 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))
% 0.86/1.21 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.86/1.21 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)) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__add__commute_0,axiom,
% 0.86/1.21 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) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_less__add__eq__less_0,axiom,
% 0.86/1.21 ( 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)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.86/1.21 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/1.21 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.86/1.21 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/1.21 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_foldl__assoc_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.86/1.21 | 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)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_diff__less__mono2_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__induct_1,axiom,
% 0.86/1.21 ( hBOOL(hAPP(V_P,V_n))
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(V_P))))
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.86/1.21 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.86/1.21 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.86/1.21 | V_m = V_n ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_div__le__mono2_0,axiom,
% 0.86/1.21 ( c_lessequals(c_Divides_Odiv__class_Odiv(V_k,V_n,tc_nat),c_Divides_Odiv__class_Odiv(V_k,V_m,tc_nat),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_div__if_0,axiom,
% 0.86/1.21 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_power__commutes_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_split__div_H_7,axiom,
% 0.86/1.21 ( hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)))
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,V_x))
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Otimes__class_Otimes(V_n,c_Suc(V_x),tc_nat),tc_nat)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_n,V_x,tc_nat),V_m,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_le__max__iff__disj_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(V_z,V_y,T_a)
% 0.86/1.21 | c_lessequals(V_z,V_x,T_a)
% 0.86/1.21 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_class__semiring_Omul__pwr_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_ex__least__nat__le_0,axiom,
% 0.86/1.21 ( c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n),V_n,tc_nat)
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,V_n))
% 0.86/1.21 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_gb__semiring_Omul__pwr_0,axiom,
% 0.86/1.21 ( 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))
% 0.86/1.21 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_liftn__lift_0,axiom,
% 0.86/1.21 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__eq__add__iff1_1,axiom,
% 0.86/1.21 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 0.86/1.21 | 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)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(V_x,V_z,T_a)
% 0.86/1.21 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(V_x,V_y,T_a)
% 0.86/1.21 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__le__iff__disj_2,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.86/1.21 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__le__iff__disj_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.86/1.21 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Ole__infI2_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.86/1.21 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Ole__infI1_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.86/1.21 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Ole__infE_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(V_x,V_b,T_a)
% 0.86/1.21 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Ole__infE_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(V_x,V_a,T_a)
% 0.86/1.21 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_div__mult__self2_0,axiom,
% 0.86/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/1.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)),V_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a))
% 0.86/1.21 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_div__mult__self1_0,axiom,
% 0.86/1.21 ( ~ class_Divides_Osemiring__div(T_a)
% 0.86/1.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a)),V_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a))
% 0.86/1.21 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_div__if_1,axiom,
% 0.86/1.21 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat))
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/1.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.86/1.21 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.86/1.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.86/1.21 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_Suc__inject_0,axiom,
% 0.86/1.21 ( c_Suc(V_x) != c_Suc(V_y)
% 0.86/1.21 | V_x = V_y ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat_Oinject_0,axiom,
% 0.86/1.21 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.86/1.21 | V_nat = V_nat_H ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_less__add__iff2_1,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_less__add__iff2_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_less__add__iff1_1,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_less__add__iff1_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__eq__add__iff1_0,axiom,
% 0.86/1.21 ( 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)
% 0.86/1.21 | ~ c_lessequals(V_j,V_i,tc_nat)
% 0.86/1.21 | 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 ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 0.86/1.21 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__cancel__21_1,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/1.21 | 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)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__add__left__commute_0,axiom,
% 0.86/1.21 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)) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__add__assoc_0,axiom,
% 0.86/1.21 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)) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/1.21 | 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)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/1.21 | 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)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.86/1.21 | 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)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.21 | 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)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.86/1.21 | 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)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__gr__0_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.86/1.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_power__add_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_one__le__mult__iff_1,axiom,
% 0.86/1.21 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_one__le__mult__iff_0,axiom,
% 0.86/1.21 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.86/1.21 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__cancel__21_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_trans__le__add2_0,axiom,
% 0.86/1.21 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_trans__le__add1_0,axiom,
% 0.86/1.21 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__leE_1,axiom,
% 0.86/1.21 ( c_lessequals(V_k,V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__leE_0,axiom,
% 0.86/1.21 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 0.86/1.21 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 0.86/1.21 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 0.86/1.21 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 0.86/1.21 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 0.86/1.21 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_max__diff__distrib__left_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.86/1.21 | 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_not__leE_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/1.21 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | ~ c_lessequals(V_x,V_x,T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.86/1.21 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_linorder__not__less_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.86/1.21 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_linorder__not__less_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_lessequals(V_y,V_x,T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_linorder__not__le_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | ~ c_lessequals(V_x,V_y,T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_linorder__not__le_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.86/1.21 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_less__le__not__le_1,axiom,
% 0.86/1.21 ( ~ class_Orderings_Opreorder(T_a)
% 0.86/1.21 | ~ c_lessequals(V_y,V_x,T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_infinite__descent0_0,axiom,
% 0.86/1.21 ( hBOOL(hAPP(V_P,V_n))
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_subst__Var_1,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.86/1.21 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_type__induct_2,axiom,
% 0.86/1.21 ( hBOOL(hAPP(V_P,V_T))
% 0.86/1.21 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_one__is__add_5,axiom,
% 0.86/1.21 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))) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__strict__increasing2_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.86/1.21 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.86/1.21 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_diff__le__mono2_0,axiom,
% 0.86/1.21 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_diff__le__mono_0,axiom,
% 0.86/1.21 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_le__diff__iff_1,axiom,
% 0.86/1.21 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_le__diff__iff_0,axiom,
% 0.86/1.21 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_diff__add__0_0,axiom,
% 0.86/1.21 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) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_diff__diff__left_0,axiom,
% 0.86/1.21 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) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_power__mono_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.86/1.21 | 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)
% 0.86/1.21 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.86/1.21 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_eq__eqI_1,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/1.21 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.86/1.21 | V_xa = V_y ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_eq__eqI_0,axiom,
% 0.86/1.21 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.86/1.21 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.86/1.21 | V_x_H = V_y_H ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_eq__diff__iff_0,axiom,
% 0.86/1.21 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.86/1.21 | ~ c_lessequals(V_k,V_m,tc_nat)
% 0.86/1.21 | V_m = V_n ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 0.86/1.21 ( ~ class_Orderings_Olinorder(T_a)
% 0.86/1.21 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 0.86/1.21 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.86/1.21 | V_m = V_n ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_one__is__add_3,axiom,
% 0.86/1.21 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.86/1.21 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.86/1.21 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_one__is__add_0,axiom,
% 0.86/1.21 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.86/1.21 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.86/1.21 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__less__cancel2_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__less__cancel1_0,axiom,
% 0.86/1.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_add__Suc__shift_0,axiom,
% 0.86/1.21 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)) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__le__cancel2_0,axiom,
% 0.86/1.21 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__le__cancel1_0,axiom,
% 0.86/1.21 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.86/1.21 | ~ 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) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 0.86/1.21 ( c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ 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)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 0.86/1.21 ( 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)
% 0.86/1.21 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.86/1.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.86/1.21
% 0.86/1.21 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.86/1.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/1.22 | c_lessequals(V_b,V_a,T_a)
% 0.86/1.22 | ~ 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)
% 0.86/1.22 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/1.22
% 0.86/1.22 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.86/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/1.22 | 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)
% 0.86/1.22 | ~ c_lessequals(V_b,V_a,T_a)
% 0.86/1.22 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.86/1.22
% 0.86/1.22 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.86/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/1.22 | c_lessequals(V_a,V_b,T_a)
% 0.86/1.22 | ~ 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)
% 0.86/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.86/1.22
% 0.86/1.22 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.86/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.86/1.22 | 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)
% 0.86/1.22 | ~ c_lessequals(V_a,V_b,T_a)
% 0.86/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.86/1.22
% 0.86/1.22 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.22 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.22 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_one__less__mult_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__cancel2_0,axiom,
% 0.94/1.22 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) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__cancel_0,axiom,
% 0.94/1.22 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) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_zero__less__Suc_0,axiom,
% 0.94/1.22 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.94/1.22 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_dB_Osize_I5_J_0,axiom,
% 0.94/1.22 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Oless__supI1_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Oless__supI2_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__max__iff__disj_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__max__iff__disj_2,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_max__less__iff__conj_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_max__less__iff__conj_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Oinf__commute_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_left__add__mult__distrib_0,axiom,
% 0.94/1.22 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) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_combine__common__factor_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__le__self_0,axiom,
% 0.94/1.22 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.94/1.22 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.94/1.22 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 0.94/1.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 0.94/1.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__neg__neg_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_power__strict__mono_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.22 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.22 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat_Osplit__asm_1,axiom,
% 0.94/1.22 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_xa),t_a)))
% 0.94/1.22 | hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat_Osplit_1,axiom,
% 0.94/1.22 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_nat),t_a)))
% 0.94/1.22 | hBOOL(hAPP(V_P,hAPP(V_f2,V_nat))) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__mult__distrib2_0,axiom,
% 0.94/1.22 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) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__mult__distrib_0,axiom,
% 0.94/1.22 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) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Oless__infI1_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Oless__infI2_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__less__iff__conj_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__less__iff__conj_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__eq__add__iff2_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__le__iff__disj_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_y,V_z,T_a)
% 0.94/1.22 | c_lessequals(V_x,V_z,T_a)
% 0.94/1.22 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__eq__add__iff2_1,axiom,
% 0.94/1.22 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__Suc0_1,axiom,
% 0.94/1.22 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_even__less__0__iff_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_even__less__0__iff_1,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_one__is__add_1,axiom,
% 0.94/1.22 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.94/1.22 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.22 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_one__is__add_2,axiom,
% 0.94/1.22 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.94/1.22 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.22 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__pos__pos_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__neg__neg_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_foldl__absorb0_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_y,V_z,T_a)
% 0.94/1.22 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_x,V_z,T_a)
% 0.94/1.22 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__max__iff__disj_2,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__max__iff__disj_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Ole__supI2_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Ole__supI1_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Ole__supE_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_b,V_x,T_a)
% 0.94/1.22 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Ole__supE_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_lessequals(V_a,V_x,T_a)
% 0.94/1.22 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__diff__conv_0,axiom,
% 0.94/1.22 ( c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__diff__conv_1,axiom,
% 0.94/1.22 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 0.94/1.22 | ~ c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_zero__less__power_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__max__iff__disj_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__Suc__right_0,axiom,
% 0.94/1.22 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)) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__Suc_0,axiom,
% 0.94/1.22 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)) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_split__div_1,axiom,
% 0.94/1.22 ( ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.94/1.22 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.22 | ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat)),V_j),V_k,tc_nat)))
% 0.94/1.22 | hBOOL(hAPP(V_P,V_i)) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Beta_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_InductTermi_OIT(V_s)
% 0.94/1.22 | ~ 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)) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_lift__IT_0,axiom,
% 0.94/1.22 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
% 0.94/1.22 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.94/1.22 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) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__case__Suc_0,axiom,
% 0.94/1.22 c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_nat),T_a) = hAPP(V_f2,V_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_App_I2_J_0,axiom,
% 0.94/1.22 c_InductTermi_OIT(v_s____) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.94/1.22 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.94/1.22 | V_dB = V_dB_H ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__le__add__iff1_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ 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)
% 0.94/1.22 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__le__add__iff1_1,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ 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)
% 0.94/1.22 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__le__add__iff2_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ 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)
% 0.94/1.22 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__le__add__iff2_1,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ 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)
% 0.94/1.22 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_of__nat__mult_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__less__iff__disj_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.22 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.22 | 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))
% 0.94/1.22 | V_y = V_z
% 0.94/1.22 | V_w = V_x ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.22 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.22 | 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))
% 0.94/1.22 | V_c = V_d
% 0.94/1.22 | V_a = V_b ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | V_c = V_d
% 0.94/1.22 | V_a = V_b ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | V_y = V_z
% 0.94/1.22 | V_w = V_x ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.94/1.22 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__nonpos__neg_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__neg__nonpos_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_div__mult__self2__is__id_0,axiom,
% 0.94/1.22 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = V_a
% 0.94/1.22 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_div__mult__self1__is__id_0,axiom,
% 0.94/1.22 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = V_a
% 0.94/1.22 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__SucE_0,axiom,
% 0.94/1.22 ( V_m = V_n
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__antisym_0,axiom,
% 0.94/1.22 ( V_m = V_n
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.94/1.22 ( V_n = V_m
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__add__assoc_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__add__assoc2_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__eq__1__iff_2,axiom,
% 0.94/1.22 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)) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__diff__right_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__imp__diff__less_0,axiom,
% 0.94/1.22 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.94/1.22 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.94/1.22 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_type_Orecs_I1_J_0,axiom,
% 0.94/1.22 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_apps__preserves__beta_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_one__is__add_4,axiom,
% 0.94/1.22 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)) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__le__not__le_2,axiom,
% 0.94/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.22 | c_lessequals(V_y,V_x,T_a)
% 0.94/1.22 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__less__le_1,axiom,
% 0.94/1.22 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_less__not__refl_0,axiom,
% 0.94/1.22 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_order__less__le_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_linorder__neq__iff_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_order__less__irrefl_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__imp__diff__is__add_1,axiom,
% 0.94/1.22 ( ~ c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),tc_nat)
% 0.94/1.22 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),V_i,tc_nat) = V_k ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Oinf__idem_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 0.94/1.22 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_n))
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_beta_0,axiom,
% 0.94/1.22 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))) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__pos__pos_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__add1_0,axiom,
% 0.94/1.22 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__add2_0,axiom,
% 0.94/1.22 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__iff__add_1,axiom,
% 0.94/1.22 c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x),tc_nat) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__minus__add__max_0,axiom,
% 0.94/1.22 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) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.22 | V_x = V_y ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | V_x = V_y
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__antisym_0,axiom,
% 0.94/1.22 ( V_m = V_n
% 0.94/1.22 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.94/1.22 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__neq__iff_0,axiom,
% 0.94/1.22 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.22 | V_m = V_n ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__less__cases_0,axiom,
% 0.94/1.22 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.94/1.22 | V_m = V_n
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.94/1.22 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.94/1.22 | V_x = V_y ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_order__eq__iff_2,axiom,
% 0.94/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.22 | V_x = V_y
% 0.94/1.22 | ~ c_lessequals(V_y,V_x,T_a)
% 0.94/1.22 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_linorder__neqE_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.22 | V_x = V_y ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_order__antisym_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.22 | V_x = V_y
% 0.94/1.22 | ~ c_lessequals(V_y,V_x,T_a)
% 0.94/1.22 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_order__antisym__conv_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.22 | V_x = V_y
% 0.94/1.22 | ~ c_lessequals(V_x,V_y,T_a)
% 0.94/1.22 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_linorder__less__linear_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.22 | V_x = V_y
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | V_x = V_y
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.22 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.22 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__max_Osup__idem_0,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__less__iff__disj_1,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__less__iff__disj_2,axiom,
% 0.94/1.22 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.22 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.22 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__commute_0,axiom,
% 0.94/1.22 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) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__nonneg__pos_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__pos__nonneg_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_diff__less__mono_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_lessequals(V_c,V_a,tc_nat)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__le__0__iff_4,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.22 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__le__0__iff_5,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.22 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_split__mult__neg__le_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.22 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_split__mult__neg__le_1,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.22 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.22 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.22 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.22 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.22 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.22 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_not__square__less__zero_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 0.94/1.22 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 0.94/1.22 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.22 | ~ 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Suc__lessI_0,axiom,
% 0.94/1.22 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.94/1.22 | c_Suc(V_m) = V_n
% 0.94/1.22 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_not__less__eq__eq_1,axiom,
% 0.94/1.22 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.22 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_not__less__eq__eq_0,axiom,
% 0.94/1.22 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.94/1.22 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | V_y = V_z ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | V_m = V_n ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | V_m = V_n ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.94/1.22 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.22 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | V_y = V_z ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__imp__eq_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | V_b = V_c ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__left__cancel_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | V_b = V_c ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__right__cancel_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.94/1.22 | 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)
% 0.94/1.22 | V_b = V_c ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_min__add__distrib__left_0,axiom,
% 0.94/1.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.22 | 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) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_le__add__diff_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Opwr__mul_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Omul__d_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Omul__c_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Omul__a_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Omul__1_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Omul__0_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Oadd__c_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Oadd__a_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Oadd__0_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.94/1.22 ( 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)))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.94/1.22 ( 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))
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_type_Osplit__asm_0,axiom,
% 0.94/1.22 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a)))
% 0.94/1.22 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_type_Osplit_0,axiom,
% 0.94/1.22 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a)))
% 0.94/1.22 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.94/1.22 ( 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)
% 0.94/1.22 | V_r = V_s ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__is__1_3,axiom,
% 0.94/1.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.22 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.22 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_add__is__1_0,axiom,
% 0.94/1.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.22 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.22 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.94/1.22
% 0.94/1.22 cnf(cls_Suc__diff__diff_0,axiom,
% 0.94/1.22 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__le__mono_0,axiom,
% 0.94/1.23 ( c_lessequals(c_Divides_Odiv__class_Odiv(V_m,V_k,tc_nat),c_Divides_Odiv__class_Odiv(V_n,V_k,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__less_0,axiom,
% 0.94/1.23 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 0.94/1.23 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Lambda_0,axiom,
% 0.94/1.23 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
% 0.94/1.23 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | 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)) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_appR_0,axiom,
% 0.94/1.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t))
% 0.94/1.23 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_appL_0,axiom,
% 0.94/1.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u))
% 0.94/1.23 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osize_I6_J_0,axiom,
% 0.94/1.23 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Osup__commute_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 0.94/1.23 | V_a = V_b
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.94/1.23 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__Suc__eq_2,axiom,
% 0.94/1.23 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_drop__replicate_0,axiom,
% 0.94/1.23 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) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.94/1.23 c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat_Osize_I2_J_0,axiom,
% 0.94/1.23 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))) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__square_0,axiom,
% 0.94/1.23 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_subst__lift_0,axiom,
% 0.94/1.23 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__diff__cancel_0,axiom,
% 0.94/1.23 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 0.94/1.23 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.94/1.23 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_lift__preserves__beta_0,axiom,
% 0.94/1.23 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i))
% 0.94/1.23 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.94/1.23 | V_dB2 = V_dB2_H ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.94/1.23 | V_dB1 = V_dB1_H ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__strict__mono_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__less__mono_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 0.94/1.23 ( c_lessequals(V_x,V_y,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__less__le_0,axiom,
% 0.94/1.23 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__le__less_1,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_lessequals(V_x,V_y,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__less__imp__le_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.23 | c_lessequals(V_x,V_y,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | V_rs = V_ss ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | V_r = V_s ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.94/1.23 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.94/1.23 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_of__nat__less__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_of__nat__less__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_lessI_0,axiom,
% 0.94/1.23 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__Suc__eq_2,axiom,
% 0.94/1.23 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__trans__Suc_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__le__cancel__right_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__le__cancel__right_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__le__cancel__left_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__le__cancel__left_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__right__mono_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__left__mono_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__le__mono1_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 0.94/1.23 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__imp__diff__is__add_0,axiom,
% 0.94/1.23 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.94/1.23 | V_j = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_i) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__add__diff__inverse_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.94/1.23 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__add__diff__inverse2_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)),V_n) = V_m
% 0.94/1.23 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_gb__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q))
% 0.94/1.23 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_gb__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),V_x) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q))
% 0.94/1.23 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_gb__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q))
% 0.94/1.23 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_gb__semiring_Opwr__Suc_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_n)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_n))
% 0.94/1.23 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel1_1,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel2_1,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__diff__assoc_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__diff__assoc2_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_drop__drop_0,axiom,
% 0.94/1.23 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) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_power__le__imp__le__base_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__left__idem_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__mult__div__cancel1_0,axiom,
% 0.94/1.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__mult__mult1__if_0,axiom,
% 0.94/1.23 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__mult__div__cancel__disj_0,axiom,
% 0.94/1.23 c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 0.94/1.23 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__0__iff_3,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__0__iff_2,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__0__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__0__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__pos__neg2_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__pos__neg_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__neg__pos_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__leD_0,axiom,
% 0.94/1.23 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__SucI_0,axiom,
% 0.94/1.23 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_n__less__m__mult__n_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_n__less__n__mult__m_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__n__not__le__n_0,axiom,
% 0.94/1.23 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__diff__iff_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ 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)
% 0.94/1.23 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__diff__iff_1,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_pos__add__strict_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_subst__lt_0,axiom,
% 0.94/1.23 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osplit_2,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.94/1.23 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.94/1.23 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_subst__Var__IT_0,axiom,
% 0.94/1.23 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))
% 0.94/1.23 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.23 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.23 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_not__add__less1_0,axiom,
% 0.94/1.23 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_not__add__less2_0,axiom,
% 0.94/1.23 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_of__nat__diff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__mult2__eq_0,axiom,
% 0.94/1.23 c_Divides_Odiv__class_Odiv(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(V_a,V_b,tc_nat),V_c,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__right__mono_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__left__mono_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__mono1_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.23 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.23 | 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))
% 0.94/1.23 | V_c = V_d
% 0.94/1.23 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 0.94/1.23 ( 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))
% 0.94/1.23 | V_c = V_d
% 0.94/1.23 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__div__geq_0,axiom,
% 0.94/1.23 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat))
% 0.94/1.23 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__diff__conv_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__diff__conv_1,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__n__not__n_0,axiom,
% 0.94/1.23 c_Suc(V_n) != V_n ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_n__not__Suc__n_0,axiom,
% 0.94/1.23 V_n != c_Suc(V_n) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__strict__right__mono_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__less__cancel__right_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__less__cancel__right_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__strict__left__mono_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__less__cancel__left_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__less__cancel__left_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__less__mono1_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__Suc__Suc_0,axiom,
% 0.94/1.23 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__SucE_0,axiom,
% 0.94/1.23 ( V_m = c_Suc(V_n)
% 0.94/1.23 | c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_not__less__eq_1,axiom,
% 0.94/1.23 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_not__less__eq_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel2_2,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel1_2,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__mono2_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__mono1_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_max__add__distrib__left_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_app__Var__IT_0,axiom,
% 0.94/1.23 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i)))
% 0.94/1.23 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_power__inject__base_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | V_a = V_b
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__mult__mult1_0,axiom,
% 0.94/1.23 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.94/1.23 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__mult__mult2_0,axiom,
% 0.94/1.23 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.94/1.23 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__mult__div__cancel__disj_1,axiom,
% 0.94/1.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)
% 0.94/1.23 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__mono_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__cube_0,axiom,
% 0.94/1.23 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) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__mono_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__mono_H_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Osup__assoc_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_split__div__lemma_2,axiom,
% 0.94/1.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_m,c_HOL_Otimes__class_Otimes(V_n,c_Suc(c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)),tc_nat),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.94/1.23 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) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_abs_0,axiom,
% 0.94/1.23 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))
% 0.94/1.23 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__1_0,axiom,
% 0.94/1.23 c_Divides_Odiv__class_Odiv(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = V_m ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__add__inverse2_0,axiom,
% 0.94/1.23 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__add__inverse_0,axiom,
% 0.94/1.23 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__diff__cancel_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_type_Osimps_I5_J_0,axiom,
% 0.94/1.23 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__le__less__mono_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__less__le__mono_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__less__eq_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__mono_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__gr__0_2,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__gr__0_1,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.23 | 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)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_typing__elims_I3_J_0,axiom,
% 0.94/1.23 ( V_T = 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))
% 0.94/1.23 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_power__eq__0__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.94/1.23 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.23 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.23 | ~ class_Power_Opower(T_a)
% 0.94/1.23 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_field__power__not__zero_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.94/1.23 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__zero__left_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__zero__right_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_no__zero__divisors_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__by__0_0,axiom,
% 0.94/1.23 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.23 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_div__0_0,axiom,
% 0.94/1.23 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.23 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_double__eq__0__iff_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.23 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__self_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__0__right_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_right__minus__eq_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.23 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.23 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.94/1.23 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_double__eq__0__iff_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.23 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_x = V_y ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_right__minus__eq_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_a = V_b ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.23 | V_a = V_b ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.23 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.23 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__0__left_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.94/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.94/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__0__eq_1,axiom,
% 0.94/1.23 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__cancel2_1,axiom,
% 0.94/1.23 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) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__cancel1_1,axiom,
% 0.94/1.23 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) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_neq0__conv_1,axiom,
% 0.94/1.23 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_one__le__mult__iff_2,axiom,
% 0.94/1.23 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.94/1.23 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_xt1_I6_J_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_lessequals(V_z,V_x,T_a)
% 0.94/1.23 | ~ c_lessequals(V_z,V_y,T_a)
% 0.94/1.23 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_xt1_I7_J_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/1.23 | ~ c_lessequals(V_z,V_y,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_xt1_I8_J_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.94/1.23 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.23 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__trans_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.23 | c_lessequals(V_x,V_z,T_a)
% 0.94/1.23 | ~ c_lessequals(V_y,V_z,T_a)
% 0.94/1.23 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__refl_0,axiom,
% 0.94/1.23 c_lessequals(V_n,V_n,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__trans_0,axiom,
% 0.94/1.23 ( c_lessequals(V_i,V_k,tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_j,V_k,tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_eq__imp__le_0,axiom,
% 0.94/1.23 c_lessequals(V_x,V_x,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__eq__iff_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__eq__refl_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.23 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__le__less__trans_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.94/1.23 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__less__le__trans_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/1.23 | ~ c_lessequals(V_y,V_z,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__add__right__mono_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.23 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.94/1.23 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osplit_1,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a)))
% 0.94/1.23 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a)))
% 0.94/1.23 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | V_rs = V_ss ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.94/1.23 ( 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)
% 0.94/1.23 | V_m = V_n ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.94/1.23 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__diff_0,axiom,
% 0.94/1.23 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__diff__split_0,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__is__1_5,axiom,
% 0.94/1.23 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)) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__idem_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_ex__least__nat__le_1,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,V_i))
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_i,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n),tc_nat)
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,V_n))
% 0.94/1.23 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__less__Suc__eq_0,axiom,
% 0.94/1.23 ( V_n = V_m
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.94/1.23 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__mono1_0,axiom,
% 0.94/1.23 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__mono2_0,axiom,
% 0.94/1.23 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__cancel1_2,axiom,
% 0.94/1.23 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__le__cancel2_2,axiom,
% 0.94/1.23 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__less__diff_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__less__diff_1,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__lessD_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__SucI_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_subst__App_0,axiom,
% 0.94/1.23 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)) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__mult__cancel1_0,axiom,
% 0.94/1.23 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat)
% 0.94/1.23 | V_m = V_n ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__pred_0,axiom,
% 0.94/1.23 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_of__nat__add_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.23 | 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)) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__less_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__eqI_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.23 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.94/1.23 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__eqI_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.23 | c_lessequals(V_y,V_x,T_a)
% 0.94/1.23 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__eqI_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_less__eqI_1,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_power__mult__distrib_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__diff__inverse_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__Suc__less_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__is__1_1,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.23 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.23 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__is__1_2,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.23 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_power__mult_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.94/1.23 | 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) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_xt1_I11_J_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | V_a = V_b
% 0.94/1.23 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_xt1_I12_J_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | ~ c_lessequals(V_b,V_a,T_a)
% 0.94/1.23 | V_a = V_b ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__less__le_2,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | V_m = V_n
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__eq__less__or__eq_0,axiom,
% 0.94/1.23 ( V_m = V_n
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__neq__implies__less_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.23 | V_m = V_n
% 0.94/1.23 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__le__less_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | V_x = V_y
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.23 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__less__le_2,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.23 | V_x = V_y
% 0.94/1.23 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__le__neq__trans_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | V_a = V_b
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__neq__le__trans_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,V_b,T_a)
% 0.94/1.23 | V_a = V_b ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | V_x = V_y
% 0.94/1.23 | ~ c_lessequals(V_x,V_y,T_a)
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | V_x = V_y
% 0.94/1.23 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.23 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_zero__le__square_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_split__mult__pos__le_1,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_split__mult__pos__le_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.23 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.23 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_split__div__lemma_1,axiom,
% 0.94/1.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.23 | c_lessequals(c_HOL_Otimes__class_Otimes(V_n,c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat),tc_nat),V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osize_I2_J_0,axiom,
% 0.94/1.23 c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB1)),c_Lambda_OdB_OdB__size(V_dB2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__le__mono_0,axiom,
% 0.94/1.23 ( c_lessequals(V_n,V_m,tc_nat)
% 0.94/1.23 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__le__mono_1,axiom,
% 0.94/1.23 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osize_I3_J_0,axiom,
% 0.94/1.23 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.94/1.23 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__mult__assoc_0,axiom,
% 0.94/1.23 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | 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)) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.94/1.23 | 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)) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__mult__distrib_0,axiom,
% 0.94/1.23 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)) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__mult__distrib2_0,axiom,
% 0.94/1.23 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)) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.94/1.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.23 | 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)) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_xt1_I9_J_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__le__linear_0,axiom,
% 0.94/1.23 ( c_lessequals(V_n,V_m,tc_nat)
% 0.94/1.23 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_linorder__linear_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.23 | c_lessequals(V_y,V_x,T_a)
% 0.94/1.23 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__less__asym_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_order__less__asym_H_0,axiom,
% 0.94/1.23 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.23 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_liftn__0_0,axiom,
% 0.94/1.23 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_split__div_H_6,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_split__div_5,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.94/1.23 | hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_split__div_0,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.94/1.23 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_gr0I_0,axiom,
% 0.94/1.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.23 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__rec__0_0,axiom,
% 0.94/1.23 c_Nat_Onat_Onat__rec(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_ex__least__nat__le_2,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n)))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,V_n))
% 0.94/1.23 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.94/1.23 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.94/1.23 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.94/1.23 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | V_m = V_n ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le__0__eq_0,axiom,
% 0.94/1.23 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__induct_0,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,V_n))
% 0.94/1.23 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(V_P)))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__is__0_2,axiom,
% 0.94/1.23 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__is__0_1,axiom,
% 0.94/1.23 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__is__0_0,axiom,
% 0.94/1.23 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__is__0_1,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__is__0_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Nitpick_Onat__case__def_0,axiom,
% 0.94/1.23 c_Nat_Onat_Onat__case(V_x,V_f,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__case__0_0,axiom,
% 0.94/1.23 c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__0R_0,axiom,
% 0.94/1.23 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_min__0L_0,axiom,
% 0.94/1.23 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__cancel2_0,axiom,
% 0.94/1.23 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 0.94/1.23 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | V_m = V_n ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_mult__cancel1_0,axiom,
% 0.94/1.23 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.94/1.23 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.23 | V_m = V_n ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 0.94/1.23 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.94/1.23 | V_m = V_n
% 0.94/1.23 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.94/1.23 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__self__eq__0_0,axiom,
% 0.94/1.23 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.94/1.23 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.94/1.23 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__eq__self__zero_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.94/1.23 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_replicate_Oinduct_0,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.23 | hBOOL(hAPP(V_P,v_sko__List__Xreplicate__Xinduct__1(V_P)))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.94/1.23 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.94/1.23 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat_Osplit_0,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 0.94/1.23 | hBOOL(hAPP(V_P,V_f1)) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat_Oinducts_0,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.23 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinducts__1(V_P)))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat__gcd_Osimps_0,axiom,
% 0.94/1.23 c_Nitpick_Onat__gcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat)) = V_x ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat_Osize_I1_J_0,axiom,
% 0.94/1.23 c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_char__size_0,axiom,
% 0.94/1.23 c_String_Ochar_Ochar__size(V_c) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_add__is__0_2,axiom,
% 0.94/1.23 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) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_nat_Oinduct_0,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.23 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinduct__1(V_P)))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_gr__implies__not0_0,axiom,
% 0.94/1.23 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_not__less0_0,axiom,
% 0.94/1.23 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_bot__nat__def_0,axiom,
% 0.94/1.23 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_upt_Oinduct_0,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.23 | hBOOL(hAPP(V_P,v_sko__List__Xupt__Xinduct__1(V_P)))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_drop__0_0,axiom,
% 0.94/1.23 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_diff__0__eq__0_0,axiom,
% 0.94/1.23 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_infinite__descent0_1,axiom,
% 0.94/1.23 ( hBOOL(hAPP(V_P,V_n))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P)))
% 0.94/1.23 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_le0_0,axiom,
% 0.94/1.23 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_size__char_0,axiom,
% 0.94/1.23 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.94/1.23 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) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_max__0R_0,axiom,
% 0.94/1.23 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_max__0L_0,axiom,
% 0.94/1.23 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.94/1.23 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.94/1.23 | V_x = V_y
% 0.94/1.23 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.94/1.23 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.94/1.23 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.94/1.23 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_gb__semiring_Opwr__0_0,axiom,
% 0.94/1.23 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1
% 0.94/1.23 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.94/1.23 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.94/1.23
% 0.94/1.23 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.94/1.23 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.94/1.24 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Osplit_0,axiom,
% 0.94/1.24 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.94/1.24 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_subst__eq_0,axiom,
% 0.94/1.24 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.94/1.24 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 0.94/1.24 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.94/1.24 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.94/1.24 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_Var__IT_0,axiom,
% 0.94/1.24 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.94/1.24 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.94/1.24 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_var__app__type__eq_0,axiom,
% 0.94/1.24 ( V_T = V_U
% 0.94/1.24 | ~ 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)
% 0.94/1.24 | ~ 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) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_subject__reduction_0,axiom,
% 0.94/1.24 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.94/1.24 | ~ c_Lambda_Obeta(V_t,V_t_H)
% 0.94/1.24 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_typing__elims_I2_J_0,axiom,
% 0.94/1.24 ( c_Type_Otyping(V_e,V_t,c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u),V_T))
% 0.94/1.24 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type_Osimps_I4_J_0,axiom,
% 0.94/1.24 c_Type_Otype_OFun(V_type1_H,V_type2_H) != c_Type_Otype_OAtom(V_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type__induct_1,axiom,
% 0.94/1.24 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != c_Type_Otype_OFun(V_T1,V_T2)
% 0.94/1.24 | hBOOL(hAPP(V_P,V_T))
% 0.94/1.24 | hBOOL(hAPP(V_P,V_T2)) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type__induct_0,axiom,
% 0.94/1.24 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != c_Type_Otype_OFun(V_T1a,V_x)
% 0.94/1.24 | hBOOL(hAPP(V_P,V_T))
% 0.94/1.24 | hBOOL(hAPP(V_P,V_T1a)) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type_Orecs_I2_J_0,axiom,
% 0.94/1.24 c_Type_Otype_Otype__rec(V_f1,V_f2,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)) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type_Osimps_I6_J_0,axiom,
% 0.94/1.24 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OFun(V_type1,V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type_Osplit__asm_1,axiom,
% 0.94/1.24 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OFun(V_xa,V_xb),t_a)))
% 0.94/1.24 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type_Osplit_1,axiom,
% 0.94/1.24 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OFun(V_type1,V_type2),t_a)))
% 0.94/1.24 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type_Osimps_I3_J_0,axiom,
% 0.94/1.24 c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OFun(V_type1_H,V_type2_H) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_abs__typeE_0,axiom,
% 0.94/1.24 ( 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))
% 0.94/1.24 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_typing__elims_I3_J_1,axiom,
% 0.94/1.24 ( 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))
% 0.94/1.24 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_shift__gt_0,axiom,
% 0.94/1.24 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.94/1.24 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_subst__type__IT_0,axiom,
% 0.94/1.24 ( c_InductTermi_OIT(c_Lambda_Osubst(V_t,V_u,V_i))
% 0.94/1.24 | ~ c_Type_Otyping(V_e,V_u,V_U)
% 0.94/1.24 | ~ c_InductTermi_OIT(V_u)
% 0.94/1.24 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.94/1.24 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_power__eq__0__iff_2,axiom,
% 0.94/1.24 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.94/1.24 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.24 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.24 | ~ class_Power_Opower(T_a)
% 0.94/1.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.24 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_power__0__left_1,axiom,
% 0.94/1.24 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.94/1.24 | ~ class_Power_Opower(T_a)
% 0.94/1.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.24 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_power__eq__0__iff_1,axiom,
% 0.94/1.24 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.94/1.24 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.24 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.24 | ~ class_Power_Opower(T_a)
% 0.94/1.24 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_of__nat__0_0,axiom,
% 0.94/1.24 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.24 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Osize_I4_J_0,axiom,
% 0.94/1.24 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Osize_I1_J_0,axiom,
% 0.94/1.24 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_shift__commute_0,axiom,
% 0.94/1.24 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) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_typing_OApp_0,axiom,
% 0.94/1.24 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.94/1.24 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.94/1.24 | ~ c_Type_Otyping(V_env,V_s,c_Type_Otype_OFun(V_T,V_U)) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_lift__type_0,axiom,
% 0.94/1.24 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 0.94/1.24 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_subst__lemma_0,axiom,
% 0.94/1.24 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.94/1.24 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.94/1.24 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_Abs_0,axiom,
% 0.94/1.24 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),c_Type_Otype_OFun(V_T,V_U))
% 0.94/1.24 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_App_I3_J_0,axiom,
% 0.94/1.24 c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_App_I1_J_0,axiom,
% 0.94/1.24 c_Type_Otyping(v_ea____,v_s____,c_Type_Otype_OFun(v_Ta____,v_U____)) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.94/1.24 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.94/1.24 | V_nat = V_nat_H ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.94/1.24 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 0.94/1.24 | V_type1 = V_type1_H ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.94/1.24 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 0.94/1.24 | V_type2 = V_type2_H ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_shift__eq_0,axiom,
% 0.94/1.24 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.94/1.24 ( hAPP(V_e,V_i) = V_T
% 0.94/1.24 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_typing_OVar_0,axiom,
% 0.94/1.24 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_conjecture_0,negated_conjecture,
% 0.94/1.24 ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.94/1.24 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.94/1.24 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.94/1.24 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.94/1.24 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.94/1.24 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.94/1.24 | ~ class_Orderings_Obot(T_1) ) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.94/1.24 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.94/1.24 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.94/1.24 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.94/1.24 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.94/1.24 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.94/1.24 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.94/1.24 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.94/1.24 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.94/1.24 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.94/1.24 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.94/1.24 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.94/1.24 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.94/1.24 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.94/1.24 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.94/1.24 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.94/1.24 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.94/1.24 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.94/1.24 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.94/1.24 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.94/1.24 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.94/1.24 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.94/1.24 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.94/1.24 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.94/1.24 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.94/1.24 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.94/1.24 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.94/1.24 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.94/1.24 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.94/1.24 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.94/1.24 class_Divides_Osemiring__div(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.94/1.24 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.94/1.24 class_Orderings_Opreorder(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.94/1.24 class_Orderings_Olinorder(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.94/1.24 class_Orderings_Oorder(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.94/1.24 class_Orderings_Obot(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(clsarity_nat__Power_Opower,axiom,
% 0.94/1.24 class_Power_Opower(tc_nat) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.94/1.24 c_fequal(V_x,V_x,T_a) ).
% 0.94/1.24
% 0.94/1.24 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.94/1.24 ( V_X = V_Y
% 0.94/1.24 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.94/1.24
% 0.94/1.24 %------------------------------------------------------------------------------
% 0.94/1.24 %-------------------------------------------
% 0.94/1.24 % Proof found
% 0.94/1.24 % SZS status Theorem for theBenchmark
% 0.94/1.24 % SZS output start Proof
% 0.94/1.24 %ClaNum:1087(EqnAxiom:186)
% 0.94/1.24 %VarNum:5903(SingletonVarNum:2308)
% 0.94/1.24 %MaxLitNum:6
% 0.94/1.24 %MaxfuncDepth:6
% 0.94/1.24 %SharedTerms:75
% 0.94/1.24 %goalClause: 367
% 0.94/1.24 %singleGoalClaCount:1
% 0.94/1.24 [187]P1(a1)
% 0.94/1.24 [188]P2(a1)
% 0.94/1.24 [189]P3(a1)
% 0.94/1.24 [190]P4(a1)
% 0.94/1.24 [191]P32(a1)
% 0.94/1.24 [192]P21(a1)
% 0.94/1.24 [193]P33(a1)
% 0.94/1.24 [194]P26(a1)
% 0.94/1.24 [195]P28(a1)
% 0.94/1.24 [196]P5(a50)
% 0.94/1.24 [197]P5(a51)
% 0.94/1.24 [198]P34(a1)
% 0.94/1.24 [199]P35(a1)
% 0.94/1.24 [200]P45(a1)
% 0.94/1.24 [201]P47(a1)
% 0.94/1.24 [202]P30(a1)
% 0.94/1.24 [203]P31(a1)
% 0.94/1.24 [204]P8(a1)
% 0.94/1.24 [205]P46(a1)
% 0.94/1.24 [206]P9(a1)
% 0.94/1.24 [207]P15(a1)
% 0.94/1.24 [208]P48(a1)
% 0.94/1.24 [209]P22(a1)
% 0.94/1.24 [210]P56(a1)
% 0.94/1.24 [211]P49(a1)
% 0.94/1.24 [212]P17(a1)
% 0.94/1.24 [213]P20(a1)
% 0.94/1.24 [214]P29(a1)
% 0.94/1.24 [215]P37(a1)
% 0.94/1.24 [216]P39(a1)
% 0.94/1.24 [217]P40(a1)
% 0.94/1.24 [218]P50(a1)
% 0.94/1.24 [219]P57(a1)
% 0.94/1.24 [220]P41(a1)
% 0.94/1.24 [221]P42(a1)
% 0.94/1.24 [222]P23(a1)
% 0.94/1.24 [223]P18(a1)
% 0.94/1.24 [224]P36(a1)
% 0.94/1.24 [232]P10(a52,a50,a53)
% 0.94/1.24 [225]E(f2(a1),f10(a1))
% 0.94/1.24 [261]P10(a52,a51,f33(a53,a54))
% 0.94/1.24 [226]E(f28(f2(a1)),f2(a1))
% 0.94/1.24 [367]~P10(f35(a52,f2(a1),f33(a53,a54),a48),f11(f2(a1)),f33(a53,a54))
% 0.94/1.24 [269]E(f9(f31(f2(a1)),f31(f2(a1)),a1),f31(f2(a1)))
% 0.94/1.24 [236]P12(x2361,x2361,a1)
% 0.94/1.24 [360]~P6(x3601,x3601,a1)
% 0.94/1.24 [227]P5(f11(x2271))
% 0.94/1.24 [229]E(f17(x2291,a44),f2(a1))
% 0.94/1.24 [239]E(f4(x2391,x2391,a1),f2(a1))
% 0.94/1.24 [240]P12(f2(a1),x2401,a1)
% 0.94/1.24 [253]P6(x2531,f31(x2531),a1)
% 0.94/1.24 [257]P6(f2(a1),f31(x2571),a1)
% 0.94/1.24 [287]P12(x2871,f9(x2871,x2871,a1),a1)
% 0.94/1.24 [345]~E(f31(x3451),x3451)
% 0.94/1.24 [349]~E(f31(x3491),f2(a1))
% 0.94/1.24 [362]~P6(x3621,f2(a1),a1)
% 0.94/1.24 [363]~P12(f31(x3631),x3631,a1)
% 0.94/1.24 [228]E(f14(f11(x2281)),f2(a1))
% 0.94/1.24 [230]E(f27(x2301,f2(a1)),x2301)
% 0.94/1.24 [231]E(f17(f11(x2311),a45),f2(a1))
% 0.94/1.24 [234]E(f46(f46(f3(a1),x2341),f2(a1)),x2341)
% 0.94/1.24 [241]E(f4(x2411,f2(a1),a1),x2411)
% 0.94/1.24 [242]E(f29(x2421,f2(a1),a1),x2421)
% 0.94/1.24 [243]E(f29(f2(a1),x2431,a1),x2431)
% 0.94/1.24 [247]E(f9(x2471,f2(a1),a1),f2(a1))
% 0.94/1.24 [248]E(f30(x2481,f2(a1),a1),f2(a1))
% 0.94/1.24 [249]E(f9(f2(a1),x2491,a1),f2(a1))
% 0.94/1.24 [250]E(f4(f2(a1),x2501,a1),f2(a1))
% 0.94/1.24 [251]E(f30(f2(a1),x2511,a1),f2(a1))
% 0.94/1.24 [321]P12(x3211,f9(x3211,f9(x3211,x3211,a1),a1),a1)
% 0.94/1.24 [237]E(f46(f46(f3(a1),f2(a1)),x2371),x2371)
% 0.94/1.24 [259]E(f5(x2591,f31(f2(a1)),a1),x2591)
% 0.94/1.24 [264]E(f46(f46(f3(a1),f28(x2641)),f31(f2(a1))),f28(f31(x2641)))
% 0.94/1.24 [265]E(f46(f46(f3(a1),f14(x2651)),f31(f2(a1))),f14(f12(x2651)))
% 0.94/1.24 [278]E(f46(f46(f3(a1),f17(x2781,a45)),f31(f2(a1))),f17(f12(x2781),a45))
% 0.94/1.24 [238]P13(x2381,x2381,x2382)
% 0.94/1.24 [270]P10(x2701,f11(x2702),f46(x2701,x2702))
% 0.94/1.24 [272]E(f9(x2721,x2722,a1),f9(x2722,x2721,a1))
% 0.94/1.24 [288]P12(f4(x2881,x2882,a1),x2881,a1)
% 0.94/1.24 [289]P12(f5(x2891,x2892,a1),x2891,a1)
% 0.94/1.24 [290]P6(f4(x2901,x2902,a1),f31(x2901),a1)
% 0.94/1.24 [351]~E(f11(x3511),f12(x3512))
% 0.94/1.24 [354]~P11(f11(x3541),x3542)
% 0.94/1.24 [245]E(f18(f2(a1),x2451,x2452),x2451)
% 0.94/1.24 [246]E(f20(f2(a1),x2461,x2462),x2461)
% 0.94/1.24 [255]E(f21(f11(x2551),x2552,x2551),x2552)
% 0.94/1.24 [274]E(f9(x2741,f2(a1),a1),f9(x2742,f2(a1),a1))
% 0.94/1.24 [275]E(f9(f2(a1),x2751,a1),f9(f2(a1),x2752,a1))
% 0.94/1.24 [277]E(f4(f31(x2771),f31(x2772),a1),f4(x2771,x2772,a1))
% 0.94/1.24 [291]E(f30(f31(x2911),f31(x2912),a1),f31(f30(x2911,x2912,a1)))
% 0.94/1.24 [292]E(f29(f31(x2921),f31(x2922),a1),f31(f29(x2921,x2922,a1)))
% 0.94/1.24 [295]E(f46(f46(f3(a1),x2951),f9(x2951,x2952,a1)),f9(x2951,f31(x2952),a1))
% 0.94/1.24 [296]E(f46(f46(f3(a1),x2961),f9(x2962,x2961,a1)),f9(f31(x2962),x2961,a1))
% 0.94/1.24 [271]E(f46(f46(f3(a1),x2711),x2712),f46(f46(f3(a1),x2712),x2711))
% 0.94/1.24 [273]E(f46(f46(f3(a1),f31(x2731)),x2732),f46(f46(f3(a1),x2731),f31(x2732)))
% 0.94/1.24 [279]P12(x2791,f46(f46(f3(a1),x2792),x2791),a1)
% 0.94/1.24 [281]P12(x2811,f46(f46(f3(a1),x2811),x2812),a1)
% 0.94/1.24 [297]P11(f46(f46(a13,f12(x2971)),x2972),f21(x2971,x2972,f2(a1)))
% 0.94/1.24 [308]E(f5(f9(f2(a1),x3081,a1),f9(f2(a1),x3082,a1),a1),f2(a1))
% 0.94/1.24 [313]E(f46(f46(f3(a1),f4(x3131,x3132,a1)),x3132),f29(x3131,x3132,a1))
% 0.94/1.24 [322]E(f46(f46(f3(a1),f46(f46(f3(a1),f14(x3221)),f14(x3222))),f31(f2(a1))),f14(f46(f46(a13,x3221),x3222)))
% 0.94/1.24 [331]E(f46(f46(f3(a1),f46(f46(f3(a1),f17(x3311,a45)),f17(x3312,a45))),f31(f2(a1))),f17(f46(f46(a13,x3311),x3312),a45))
% 0.94/1.24 [365]~P6(f46(f46(f3(a1),x3651),x3652),x3652,a1)
% 0.94/1.24 [366]~P6(f46(f46(f3(a1),x3661),x3662),x3661,a1)
% 0.94/1.24 [282]E(f4(f46(f46(f3(a1),x2821),x2822),x2822,a1),x2821)
% 0.94/1.24 [283]E(f4(f46(f46(f3(a1),x2831),x2832),x2831,a1),x2832)
% 0.94/1.24 [284]E(f4(x2841,f46(f46(f3(a1),x2841),x2842),a1),f2(a1))
% 0.94/1.24 [285]E(f31(f46(f46(f3(a1),x2851),x2852)),f46(f46(f3(a1),x2851),f31(x2852)))
% 0.94/1.24 [286]E(f31(f46(f46(f3(a1),x2861),x2862)),f46(f46(f3(a1),f31(x2861)),x2862))
% 0.94/1.24 [298]P6(x2981,f31(f46(f46(f3(a1),x2982),x2981)),a1)
% 0.94/1.24 [300]P6(x3001,f31(f46(f46(f3(a1),x3001),x3002)),a1)
% 0.94/1.24 [352]~E(f34(x3521),f33(x3522,x3523))
% 0.94/1.24 [353]~E(f33(x3531,x3532),f34(x3533))
% 0.94/1.24 [268]E(f21(f19(x2681,x2682),x2683,x2682),x2681)
% 0.94/1.24 [276]E(f22(f2(a1),x2761,x2762),f22(f2(a1),x2763,x2762))
% 0.94/1.24 [293]E(f19(f18(x2931,x2932,x2933),x2933),f18(f31(x2931),x2932,x2933))
% 0.94/1.24 [301]E(f24(x3011,x3012,f2(a1),x3013),x3011)
% 0.94/1.24 [303]E(f25(x3031,x3032,f2(a1),x3033),x3031)
% 0.94/1.24 [315]E(f5(f5(x3151,x3152,a1),x3153,a1),f5(x3151,f9(x3152,x3153,a1),a1))
% 0.94/1.24 [316]E(f9(f9(x3161,x3162,a1),x3163,a1),f9(x3161,f9(x3162,x3163,a1),a1))
% 0.94/1.24 [317]E(f4(f4(x3171,x3172,a1),x3173,a1),f4(f4(x3171,x3173,a1),x3172,a1))
% 0.94/1.24 [319]E(f4(f4(f31(x3191),x3192,a1),f31(x3193),a1),f4(f4(x3191,x3192,a1),x3193,a1))
% 0.94/1.24 [323]E(f4(f9(x3231,x3232,a1),f9(x3231,x3233,a1),a1),f9(x3231,f4(x3232,x3233,a1),a1))
% 0.94/1.24 [324]E(f4(f9(x3241,x3242,a1),f9(x3243,x3242,a1),a1),f9(f4(x3241,x3243,a1),x3242,a1))
% 0.94/1.24 [325]E(f30(f4(x3251,x3252,a1),f4(x3253,x3252,a1),a1),f4(f30(x3251,x3253,a1),x3252,a1))
% 0.94/1.24 [355]~E(f12(x3551),f46(f46(a13,x3552),x3553))
% 0.94/1.24 [356]~E(f11(x3561),f46(f46(a13,x3562),x3563))
% 0.94/1.24 [357]~E(f46(f46(a13,x3571),x3572),f12(x3573))
% 0.94/1.24 [358]~E(f46(f46(a13,x3581),x3582),f11(x3583))
% 0.94/1.24 [294]E(f46(f46(a13,f19(x2941,x2942)),f19(x2943,x2942)),f19(f46(f46(a13,x2941),x2943),x2942))
% 0.94/1.24 [307]E(f46(f46(f3(a1),x3071),f46(f46(f3(a1),x3072),x3073)),f46(f46(f3(a1),x3072),f46(f46(f3(a1),x3071),x3073)))
% 0.94/1.24 [309]E(f4(f46(f46(f3(a1),x3091),x3092),f46(f46(f3(a1),x3093),x3092),a1),f4(x3091,x3093,a1))
% 0.94/1.24 [310]E(f4(f46(f46(f3(a1),x3101),x3102),f46(f46(f3(a1),x3101),x3103),a1),f4(x3102,x3103,a1))
% 0.94/1.24 [311]E(f4(x3111,f46(f46(f3(a1),x3112),x3113),a1),f4(f4(x3111,x3112,a1),x3113,a1))
% 0.94/1.24 [328]E(f46(f46(f3(a1),f9(x3281,x3282,a1)),f9(x3281,x3283,a1)),f9(x3281,f46(f46(f3(a1),x3282),x3283),a1))
% 0.94/1.24 [329]E(f46(f46(f3(a1),f9(x3291,x3292,a1)),f9(x3293,x3292,a1)),f9(f46(f46(f3(a1),x3291),x3293),x3292,a1))
% 0.94/1.24 [320]E(f46(f46(f3(a1),f46(f46(f3(a1),x3201),x3202)),x3203),f46(f46(f3(a1),x3201),f46(f46(f3(a1),x3202),x3203)))
% 0.94/1.24 [304]E(f25(x3041,x3042,f31(x3043),x3044),f46(x3042,x3043))
% 0.94/1.24 [305]E(f42(x3051,x3052,f34(x3053),x3054),f46(x3051,x3053))
% 0.94/1.24 [306]E(f43(x3061,x3062,f34(x3063),x3064),f46(x3061,x3063))
% 0.94/1.24 [318]E(f20(x3181,f22(x3182,x3183,x3184),x3184),f22(f4(x3182,x3181,a1),x3183,x3184))
% 0.94/1.24 [330]E(f46(f35(x3301,x3302,x3303,x3304),x3302),x3303)
% 0.94/1.24 [334]E(f46(f46(x3341,x3342),f24(x3343,x3341,x3342,x3344)),f24(x3343,x3341,f31(x3342),x3344))
% 0.94/1.24 [369]~E(f23(a13,f11(x3691),x3692,a45,a45),f23(a13,f12(x3693),x3694,a45,a45))
% 0.94/1.24 [326]E(f46(f46(a13,f18(x3261,x3262,x3263)),f18(x3261,x3264,x3263)),f18(x3261,f46(f46(a13,x3262),x3264),x3263))
% 0.94/1.24 [327]E(f46(f46(a13,f21(x3271,x3272,x3273)),f21(x3274,x3272,x3273)),f21(f46(f46(a13,x3271),x3274),x3272,x3273))
% 0.94/1.24 [368]~E(f46(f46(a13,f12(x3681)),x3682),f23(a13,f11(x3683),x3684,a45,a45))
% 0.94/1.24 [312]E(f20(x3121,f20(x3122,x3123,x3124),x3124),f20(f46(f46(f3(a1),x3121),x3122),x3123,x3124))
% 0.94/1.24 [339]E(f46(f46(f3(a1),f9(x3391,x3392,a1)),f46(f46(f3(a1),f9(x3393,x3392,a1)),x3394)),f46(f46(f3(a1),f9(f46(f46(f3(a1),x3391),x3393),x3392,a1)),x3394))
% 0.94/1.24 [314]E(f43(x3141,x3142,f33(x3143,x3144),x3145),f46(f46(x3142,x3143),x3144))
% 0.94/1.24 [335]E(f15(x3351,x3352,x3353,f12(x3354),x3355),f46(x3353,x3354))
% 0.94/1.24 [336]E(f15(x3361,x3362,x3363,f11(x3364),x3365),f46(x3361,x3364))
% 0.94/1.24 [337]E(f16(x3371,x3372,x3373,f11(x3374),x3375),f46(x3371,x3374))
% 0.94/1.24 [340]E(f35(f35(x3401,f2(a1),x3402,x3403),f31(x3404),x3405,x3403),f35(f35(x3401,x3404,x3405,x3403),f2(a1),x3402,x3403))
% 0.94/1.24 [341]E(f46(f46(f46(f46(x3411,x3412),x3413),f42(x3414,x3411,x3412,x3415)),f42(x3414,x3411,x3413,x3415)),f42(x3414,x3411,f33(x3412,x3413),x3415))
% 0.94/1.24 [342]E(f46(f46(x3421,x3422),f16(x3423,x3424,x3421,x3422,x3425)),f16(x3423,x3424,x3421,f12(x3422),x3425))
% 0.94/1.24 [338]E(f15(x3381,x3382,x3383,f46(f46(a13,x3384),x3385),x3386),f46(f46(x3382,x3384),x3385))
% 0.94/1.24 [343]E(f46(f46(f46(f46(x3431,x3432),x3433),f16(x3434,x3431,x3435,x3432,x3436)),f16(x3434,x3431,x3435,x3433,x3436)),f16(x3434,x3431,x3435,f46(f46(a13,x3432),x3433),x3436))
% 0.94/1.24 [375]~P5(x3751)+P5(f12(x3751))
% 0.94/1.24 [385]E(x3851,f2(a1))+P6(f2(a1),x3851,a1)
% 0.94/1.24 [427]E(x4271,f2(a1))+~P12(x4271,f2(a1),a1)
% 0.94/1.24 [376]~P56(x3761)+E(f26(f2(a1),x3761),f2(x3761))
% 0.94/1.24 [418]~P25(x4181)+E(f46(f46(f3(x4181),f2(x4181)),f2(x4181)),f2(x4181))
% 0.94/1.24 [451]E(x4511,f2(a1))+~P6(x4511,f31(f2(a1)),a1)
% 0.94/1.24 [869]~P44(x8691)+E(f46(f46(f3(x8691),f9(f2(x8691),f2(x8691),x8691)),f9(f2(x8691),f2(x8691),x8691)),f2(x8691))
% 0.94/1.24 [978]~P44(x9781)+P12(f46(f46(f3(x9781),f9(f2(x9781),f2(x9781),x9781)),f9(f2(x9781),f2(x9781),x9781)),f2(x9781),x9781)
% 0.94/1.24 [993]~P44(x9931)+~P6(f2(x9931),f46(f46(f3(x9931),f9(f2(x9931),f2(x9931),x9931)),f9(f2(x9931),f2(x9931),x9931)),x9931)
% 0.94/1.24 [604]~P6(f2(a1),x6041,a1)+E(f31(f4(x6041,f31(f2(a1)),a1)),x6041)
% 0.94/1.24 [386]~P34(x3862)+P12(x3861,x3861,x3862)
% 0.94/1.24 [387]~P35(x3872)+P12(x3871,x3871,x3872)
% 0.94/1.24 [428]~P6(x4282,x4282,x4281)+~P2(x4281)
% 0.94/1.24 [429]~P6(x4292,x4292,x4291)+~P34(x4291)
% 0.94/1.24 [430]~P6(x4302,x4302,x4301)+~P35(x4301)
% 0.94/1.24 [450]P12(x4502,x4501,a1)+P12(x4501,x4502,a1)
% 0.94/1.24 [493]~P6(x4931,x4932,a1)+P12(x4931,x4932,a1)
% 0.94/1.24 [371]E(x3711,x3712)+~E(f31(x3711),f31(x3712))
% 0.94/1.24 [372]E(x3721,x3722)+~E(f12(x3721),f12(x3722))
% 0.94/1.24 [373]E(x3731,x3732)+~E(f11(x3731),f11(x3732))
% 0.94/1.24 [374]E(x3741,x3742)+~E(f34(x3741),f34(x3742))
% 0.94/1.24 [377]~P5(x3771)+P5(f19(x3771,x3772))
% 0.94/1.24 [378]~P34(x3782)+P34(f49(x3781,x3782))
% 0.94/1.24 [379]~P35(x3792)+P35(f49(x3791,x3792))
% 0.94/1.24 [380]~P30(x3802)+P30(f49(x3801,x3802))
% 0.94/1.24 [383]~P11(x3831,x3832)+P11(f12(x3831),f12(x3832))
% 0.94/1.24 [388]~P19(x3882)+E(f9(x3881,x3881,x3882),x3881)
% 0.94/1.24 [389]~P2(x3892)+E(f30(x3891,x3891,x3892),x3891)
% 0.94/1.24 [390]~P2(x3902)+E(f29(x3901,x3901,x3902),x3901)
% 0.94/1.24 [392]~P24(x3922)+E(f4(x3921,x3921,x3922),f2(x3922))
% 0.94/1.24 [393]~P16(x3932)+E(f4(x3931,x3931,x3932),f2(x3932))
% 0.94/1.24 [397]~P30(x3971)+P12(f10(x3971),x3972,x3971)
% 0.94/1.24 [432]~P1(x4321)+P12(f2(x4321),f26(x4322,x4321),x4321)
% 0.94/1.24 [463]P6(x4631,x4632,a1)+P6(x4632,f31(x4631),a1)
% 0.94/1.24 [465]P12(x4651,x4652,a1)+P12(f31(x4652),x4651,a1)
% 0.94/1.24 [494]~P12(x4941,x4942,a1)+E(f4(x4941,x4942,a1),f2(a1))
% 0.94/1.24 [495]~P6(x4951,x4952,a1)+E(f5(x4951,x4952,a1),f2(a1))
% 0.94/1.24 [499]P12(x4991,x4992,a1)+~E(f4(x4991,x4992,a1),f2(a1))
% 0.94/1.24 [500]~P12(x5001,x5002,a1)+P12(x5001,f31(x5002),a1)
% 0.94/1.24 [501]~P12(x5011,x5012,a1)+P6(x5011,f31(x5012),a1)
% 0.94/1.24 [502]~P6(x5021,x5022,a1)+P6(x5021,f31(x5022),a1)
% 0.94/1.24 [505]~P6(x5051,x5052,a1)+P12(f31(x5051),x5052,a1)
% 0.94/1.24 [506]~P1(x5061)+~P6(f26(x5062,x5061),f2(x5061),x5061)
% 0.94/1.24 [507]P12(x5071,x5072,a1)+~P6(x5071,f31(x5072),a1)
% 0.94/1.24 [508]P12(x5081,x5082,a1)+~P12(f31(x5081),x5082,a1)
% 0.94/1.24 [510]P6(x5101,x5102,a1)+~P12(f31(x5101),x5102,a1)
% 0.94/1.24 [511]P6(x5111,x5112,a1)+~P6(f31(x5111),x5112,a1)
% 0.94/1.24 [527]~P12(x5271,x5272,a1)+P12(f31(x5271),f31(x5272),a1)
% 0.94/1.24 [529]~P6(x5291,x5292,a1)+P6(f31(x5291),f31(x5292),a1)
% 0.94/1.24 [543]P12(x5431,x5432,a1)+~P12(f31(x5431),f31(x5432),a1)
% 0.94/1.24 [544]P6(x5441,x5442,a1)+~P6(f31(x5441),f31(x5442),a1)
% 0.94/1.24 [563]~P44(x5631)+P12(f2(x5631),f9(x5632,x5632,x5631),x5631)
% 0.94/1.24 [567]~P6(x5671,x5672,a1)+~P6(x5672,f31(x5671),a1)
% 0.94/1.24 [568]~P12(x5681,x5682,a1)+~P12(f31(x5682),x5681,a1)
% 0.94/1.24 [641]~P6(x6412,x6411,a1)+P6(f2(a1),f4(x6411,x6412,a1),a1)
% 0.94/1.24 [674]~P44(x6741)+~P6(f9(x6742,x6742,x6741),f2(x6741),x6741)
% 0.94/1.24 [683]P6(x6831,x6832,a1)+~P6(f2(a1),f4(x6832,x6831,a1),a1)
% 0.94/1.24 [686]P6(f2(a1),x6861,a1)+~P6(f2(a1),f9(x6862,x6861,a1),a1)
% 0.94/1.24 [687]P6(f2(a1),x6871,a1)+~P6(f2(a1),f9(x6871,x6872,a1),a1)
% 0.94/1.24 [394]~P4(x3941)+E(f46(f46(f3(x3941),x3942),f2(x3941)),x3942)
% 0.94/1.24 [395]~P32(x3951)+E(f46(f46(f3(x3951),x3952),f2(x3951)),x3952)
% 0.94/1.24 [396]~P22(x3961)+E(f46(f46(f3(x3961),x3962),f2(x3961)),x3962)
% 0.94/1.24 [398]~P24(x3982)+E(f4(x3981,f2(x3982),x3982),x3981)
% 0.94/1.24 [399]~P32(x3992)+E(f9(x3991,f2(x3992),x3992),f2(x3992))
% 0.94/1.24 [400]~P42(x4002)+E(f9(x4001,f2(x4002),x4002),f2(x4002))
% 0.94/1.24 [401]~P52(x4012)+E(f9(x4011,f2(x4012),x4012),f2(x4012))
% 0.94/1.24 [402]~P9(x4022)+E(f5(x4021,f2(x4022),x4022),f2(x4022))
% 0.94/1.24 [404]~P32(x4041)+E(f9(f2(x4041),x4042,x4041),f2(x4041))
% 0.94/1.24 [405]~P42(x4051)+E(f9(f2(x4051),x4052,x4051),f2(x4051))
% 0.94/1.24 [406]~P52(x4061)+E(f9(f2(x4061),x4062,x4061),f2(x4061))
% 0.94/1.24 [407]~P9(x4071)+E(f5(f2(x4071),x4072,x4071),f2(x4071))
% 0.94/1.24 [434]~P5(x4341)+P5(f46(f46(a13,x4341),f11(x4342)))
% 0.94/1.24 [440]P58(f46(x4401,x4402))+~P58(f46(x4401,f36(x4401)))
% 0.94/1.24 [446]E(x4461,f31(f2(a1)))+~E(f9(x4462,x4461,a1),f31(f2(a1)))
% 0.94/1.24 [447]E(x4471,f31(f2(a1)))+~E(f9(x4471,x4472,a1),f31(f2(a1)))
% 0.94/1.24 [452]~P6(x4521,x4522,a1)+E(f19(f11(x4521),x4522),f11(x4521))
% 0.94/1.24 [600]P6(x6002,x6001,a1)+E(f46(f46(f3(a1),x6001),f4(x6002,x6001,a1)),x6002)
% 0.94/1.24 [635]~P12(x6351,x6352,a1)+E(f46(f46(f3(a1),x6351),f4(x6352,x6351,a1)),x6352)
% 0.94/1.24 [640]~P12(x6402,x6401,a1)+E(f4(x6401,f4(x6401,x6402,a1),a1),x6402)
% 0.94/1.24 [642]~P6(f2(a1),x6422,a1)+E(f5(f9(x6421,x6422,a1),x6422,a1),x6421)
% 0.94/1.24 [643]~P6(f2(a1),x6431,a1)+E(f5(f9(x6431,x6432,a1),x6431,a1),x6432)
% 0.94/1.24 [645]~P12(x6452,x6451,a1)+E(f31(f4(x6451,x6452,a1)),f4(f31(x6451),x6452,a1))
% 0.94/1.24 [664]~P6(f2(a1),x6641,a1)+P6(f4(x6641,f31(x6642),a1),x6641,a1)
% 0.94/1.24 [737]P12(f31(f2(a1)),x7371,a1)+~P12(f31(f2(a1)),f9(x7372,x7371,a1),a1)
% 0.94/1.24 [738]P12(f31(f2(a1)),x7381,a1)+~P12(f31(f2(a1)),f9(x7381,x7382,a1),a1)
% 0.94/1.24 [868]~P6(f2(a1),x8681,a1)+P12(f9(x8681,f5(x8682,x8681,a1),a1),x8682,a1)
% 0.94/1.24 [408]~P4(x4081)+E(f46(f46(f3(x4081),f2(x4081)),x4082),x4082)
% 0.94/1.24 [410]~P32(x4101)+E(f46(f46(f3(x4101),f2(x4101)),x4102),x4102)
% 0.94/1.24 [411]~P22(x4111)+E(f46(f46(f3(x4111),f2(x4111)),x4112),x4112)
% 0.94/1.24 [415]E(x4151,f2(a1))+~E(f46(f46(f3(a1),x4152),x4151),x4152)
% 0.94/1.24 [416]E(x4161,f2(a1))+~E(f46(f46(f3(a1),x4162),x4161),f2(a1))
% 0.94/1.24 [417]E(x4171,f2(a1))+~E(f46(f46(f3(a1),x4171),x4172),f2(a1))
% 0.94/1.24 [685]~P58(f46(x6851,f2(a1)))+P58(f46(x6851,f5(x6852,f2(a1),a1)))
% 0.94/1.24 [745]~P12(x7452,x7451,a1)+E(f46(f46(f3(a1),f4(x7451,x7452,a1)),x7452),x7451)
% 0.94/1.24 [848]P58(f46(x8481,f2(a1)))+~P58(f46(x8481,f5(x8482,f2(a1),a1)))
% 0.94/1.24 [965]~P6(f2(a1),x9652,a1)+P6(x9651,f9(x9652,f31(f5(x9651,x9652,a1)),a1),a1)
% 0.94/1.24 [421]E(x4211,x4212)+~P13(x4211,x4212,x4213)
% 0.94/1.24 [422]~P11(x4221,x4223)+P11(f19(x4221,x4222),f19(x4223,x4222))
% 0.94/1.24 [459]~P10(x4591,f11(x4592),x4593)+E(f46(x4591,x4592),x4593)
% 0.94/1.24 [468]~P32(x4683)+E(f9(x4681,x4682,x4683),f9(x4682,x4681,x4683))
% 0.94/1.24 [469]~P2(x4693)+E(f30(x4691,x4692,x4693),f30(x4692,x4691,x4693))
% 0.94/1.24 [470]~P2(x4703)+E(f29(x4701,x4702,x4703),f29(x4702,x4701,x4703))
% 0.94/1.24 [549]~P2(x5493)+P12(x5491,f29(x5492,x5491,x5493),x5493)
% 0.94/1.24 [550]~P2(x5503)+P12(x5501,f29(x5501,x5502,x5503),x5503)
% 0.94/1.24 [551]~P2(x5513)+P12(f30(x5511,x5512,x5513),x5512,x5513)
% 0.94/1.24 [552]~P2(x5523)+P12(f30(x5521,x5522,x5523),x5521,x5523)
% 0.94/1.24 [638]~P6(x6381,x6383,a1)+P6(f4(x6381,x6382,a1),x6383,a1)
% 0.94/1.24 [706]P12(f9(x7062,x7061,a1),f9(x7063,x7061,a1),a1)+P6(f2(a1),x7061,a1)
% 0.94/1.24 [707]P12(f9(x7071,x7072,a1),f9(x7071,x7073,a1),a1)+P6(f2(a1),x7071,a1)
% 0.94/1.24 [757]~P12(x7571,x7573,a1)+P12(f9(x7571,x7572,a1),f9(x7573,x7572,a1),a1)
% 0.94/1.24 [759]~P12(x7592,x7593,a1)+P12(f9(x7591,x7592,a1),f9(x7591,x7593,a1),a1)
% 0.94/1.24 [760]~P12(x7601,x7603,a1)+P12(f4(x7601,x7602,a1),f4(x7603,x7602,a1),a1)
% 0.94/1.24 [761]~P12(x7613,x7612,a1)+P12(f4(x7611,x7612,a1),f4(x7611,x7613,a1),a1)
% 0.94/1.24 [762]~P12(x7621,x7623,a1)+P12(f5(x7621,x7622,a1),f5(x7623,x7622,a1),a1)
% 0.94/1.24 [890]P6(x8901,x8902,a1)+~P6(f9(x8903,x8901,a1),f9(x8903,x8902,a1),a1)
% 0.94/1.24 [891]P6(x8911,x8912,a1)+~P6(f9(x8911,x8913,a1),f9(x8912,x8913,a1),a1)
% 0.94/1.24 [892]~P6(f9(x8922,x8921,a1),f9(x8923,x8921,a1),a1)+P6(f2(a1),x8921,a1)
% 0.94/1.24 [893]~P6(f9(x8931,x8932,a1),f9(x8931,x8933,a1),a1)+P6(f2(a1),x8931,a1)
% 0.94/1.24 [1003]E(x10031,f12(x10032))+~E(f23(a13,x10031,x10033,a45,a45),f12(x10032))
% 0.94/1.24 [1004]E(f12(x10041),x10042)+~E(f12(x10041),f23(a13,x10042,x10043,a45,a45))
% 0.94/1.24 [1005]E(f11(x10051),x10052)+~E(f11(x10051),f23(a13,x10052,x10053,a45,a45))
% 0.94/1.24 [1032]E(x10321,x10322)+~E(f23(a13,x10321,x10323,a45,a45),f23(a13,x10322,x10323,a45,a45))
% 0.94/1.24 [1038]~P11(x10381,x10383)+P11(f23(a13,x10381,x10382,a45,a45),f23(a13,x10383,x10382,a45,a45))
% 0.94/1.24 [486]~P5(x4861)+P5(f21(x4861,f11(x4862),x4863))
% 0.94/1.24 [517]~P6(x5172,x5173,a1)+E(f18(x5171,f11(x5172),x5173),f11(x5172))
% 0.94/1.24 [518]~P6(x5181,x5183,a1)+E(f21(f11(x5181),x5182,x5183),f11(x5181))
% 0.94/1.24 [553]~P2(x5533)+E(f30(x5531,f29(x5531,x5532,x5533),x5533),x5531)
% 0.94/1.24 [554]~P2(x5543)+E(f29(x5541,f30(x5541,x5542,x5543),x5543),x5541)
% 0.94/1.24 [579]~P11(x5791,x5793)+P11(f46(f46(a13,x5791),x5792),f46(f46(a13,x5793),x5792))
% 0.94/1.24 [580]~P11(x5802,x5803)+P11(f46(f46(a13,x5801),x5802),f46(f46(a13,x5801),x5803))
% 0.94/1.24 [589]E(x5891,x5892)+~E(f9(f31(x5893),x5891,a1),f9(f31(x5893),x5892,a1))
% 0.94/1.24 [605]~P19(x6053)+E(f9(x6051,f9(x6051,x6052,x6053),x6053),f9(x6051,x6052,x6053))
% 0.94/1.24 [606]~P2(x6063)+E(f30(x6061,f30(x6061,x6062,x6063),x6063),f30(x6061,x6062,x6063))
% 0.94/1.24 [607]~P2(x6073)+E(f29(x6071,f29(x6071,x6072,x6073),x6073),f29(x6071,x6072,x6073))
% 0.94/1.24 [622]~P33(x6223)+E(f9(x6221,f32(x6221,x6222,x6223),x6223),f32(x6221,f31(x6222),x6223))
% 0.94/1.24 [623]~P21(x6233)+E(f9(f32(x6231,x6232,x6233),x6231,x6233),f32(x6231,f31(x6232),x6233))
% 0.94/1.24 [624]~P32(x6243)+E(f9(x6241,f32(x6241,x6242,x6243),x6243),f32(x6241,f31(x6242),x6243))
% 0.94/1.24 [625]~P32(x6253)+E(f9(f32(x6251,x6252,x6253),x6251,x6253),f32(x6251,f31(x6252),x6253))
% 0.94/1.24 [626]~P56(x6262)+E(f9(f26(x6261,x6262),f26(x6263,x6262),x6262),f26(f9(x6261,x6263,a1),x6262))
% 0.94/1.24 [705]E(x7051,f2(a1))+E(f5(f9(x7051,x7052,a1),f9(x7051,x7053,a1),a1),f5(x7052,x7053,a1))
% 0.94/1.24 [716]~P10(x7162,f12(x7163),x7161)+E(f33(f39(x7161,x7162,x7163),f41(x7161,x7162,x7163)),x7161)
% 0.94/1.24 [733]~P21(x7333)+E(f9(f32(x7331,x7332,x7333),x7331,x7333),f9(x7331,f32(x7331,x7332,x7333),x7333))
% 0.94/1.24 [805]~P6(x8052,x8053,a1)+P6(f9(f31(x8051),x8052,a1),f9(f31(x8051),x8053,a1),a1)
% 0.94/1.24 [832]~P6(f2(a1),x8321,a1)+E(f5(f9(x8321,x8322,a1),f9(x8321,x8323,a1),a1),f5(x8322,x8323,a1))
% 0.94/1.24 [908]P12(x9081,x9082,a1)+~P12(f9(f31(x9083),x9081,a1),f9(f31(x9083),x9082,a1),a1)
% 0.94/1.24 [966]~P10(x9661,f12(x9662),x9663)+P10(f35(x9661,f2(a1),f37(x9661,x9662),a48),x9662,f38(x9661,x9662))
% 0.94/1.24 [972]~P44(x9721)+P12(f2(x9721),f46(f46(f3(x9721),f9(x9722,x9722,x9721)),f9(x9723,x9723,x9721)),x9721)
% 0.94/1.24 [979]~P10(x9791,f12(x9793),x9792)+P10(f35(x9791,f2(a1),f39(x9792,x9791,x9793),a48),x9793,f41(x9792,x9791,x9793))
% 0.94/1.24 [989]~P44(x9891)+~P6(f46(f46(f3(x9891),f9(x9892,x9892,x9891)),f9(x9893,x9893,x9891)),f2(x9891),x9891)
% 0.94/1.24 [460]~P4(x4601)+E(f46(f46(f3(x4601),x4602),x4603),f46(f46(f3(x4601),x4603),x4602))
% 0.94/1.24 [462]~P32(x4621)+E(f46(f46(f3(x4621),x4622),x4623),f46(f46(f3(x4621),x4623),x4622))
% 0.94/1.24 [513]E(x5131,x5132)+~E(f46(f46(f3(a1),x5133),x5131),f46(f46(f3(a1),x5133),x5132))
% 0.94/1.24 [514]E(x5141,x5142)+~E(f46(f46(f3(a1),x5141),x5143),f46(f46(f3(a1),x5142),x5143))
% 0.94/1.24 [609]~P12(x6091,x6093,a1)+P12(x6091,f46(f46(f3(a1),x6092),x6093),a1)
% 0.94/1.24 [611]~P12(x6111,x6112,a1)+P12(x6111,f46(f46(f3(a1),x6112),x6113),a1)
% 0.94/1.24 [613]~P6(x6131,x6133,a1)+P6(x6131,f46(f46(f3(a1),x6132),x6133),a1)
% 0.94/1.24 [615]~P6(x6151,x6152,a1)+P6(x6151,f46(f46(f3(a1),x6152),x6153),a1)
% 0.94/1.24 [675]~P24(x6751)+E(f46(f46(f3(x6751),f4(x6752,x6753,x6751)),x6753),x6752)
% 0.94/1.24 [676]P12(x6761,x6762,a1)+~P12(f46(f46(f3(a1),x6763),x6761),x6762,a1)
% 0.94/1.24 [677]P12(x6771,x6772,a1)+~P12(f46(f46(f3(a1),x6771),x6773),x6772,a1)
% 0.94/1.24 [678]P6(x6781,x6782,a1)+~P6(f46(f46(f3(a1),x6781),x6783),x6782,a1)
% 0.94/1.24 [682]~P9(x6821)+E(f5(f9(f2(x6821),x6822,x6821),f9(f2(x6821),x6823,x6821),x6821),f2(x6821))
% 0.94/1.24 [708]~P12(x7081,x7083,a1)+P12(f46(f46(f3(a1),x7081),x7082),f46(f46(f3(a1),x7083),x7082),a1)
% 0.94/1.24 [709]~P12(x7092,x7093,a1)+P12(f46(f46(f3(a1),x7091),x7092),f46(f46(f3(a1),x7091),x7093),a1)
% 0.94/1.24 [710]~P6(x7101,x7103,a1)+P6(f46(f46(f3(a1),x7101),x7102),f46(f46(f3(a1),x7103),x7102),a1)
% 0.94/1.24 [711]~P6(x7112,x7113,a1)+P6(f46(f46(f3(a1),x7111),x7112),f46(f46(f3(a1),x7111),x7113),a1)
% 0.94/1.24 [815]P6(x8151,f4(x8152,x8153,a1),a1)+~P6(f46(f46(f3(a1),x8151),x8153),x8152,a1)
% 0.94/1.24 [816]P12(f4(x8161,x8162,a1),x8163,a1)+~P12(x8161,f46(f46(f3(a1),x8163),x8162),a1)
% 0.94/1.24 [819]~P12(f4(x8191,x8193,a1),x8192,a1)+P12(x8191,f46(f46(f3(a1),x8192),x8193),a1)
% 0.94/1.24 [820]~P6(x8201,f4(x8203,x8202,a1),a1)+P6(f46(f46(f3(a1),x8201),x8202),x8203,a1)
% 0.94/1.24 [840]P12(x8401,x8402,a1)+~P12(f46(f46(f3(a1),x8403),x8401),f46(f46(f3(a1),x8403),x8402),a1)
% 0.94/1.24 [841]P6(x8411,x8412,a1)+~P6(f46(f46(f3(a1),x8413),x8411),f46(f46(f3(a1),x8413),x8412),a1)
% 0.94/1.24 [906]~P12(x9062,x9063,a1)+E(f4(f46(f46(f3(a1),x9061),x9062),f31(x9063),a1),f4(x9061,f31(f4(x9063,x9062,a1)),a1))
% 0.94/1.24 [998]P58(f46(x9981,x9982))+~P58(f46(x9981,f25(x9982,x9983,f2(a1),a47)))
% 0.94/1.24 [1031]~P22(x10311)+E(f46(f46(f3(x10311),x10312),f23(f3(x10311),f2(x10311),x10313,x10311,x10311)),f23(f3(x10311),x10312,x10313,x10311,x10311))
% 0.94/1.24 [547]~P24(x5471)+E(f4(f46(f46(f3(x5471),x5472),x5473),x5473,x5471),x5472)
% 0.94/1.24 [601]P6(x6012,x6013,a1)+E(f18(x6011,f11(x6012),x6013),f11(f46(f46(f3(a1),x6012),x6011)))
% 0.94/1.24 [639]~P56(x6391)+E(f46(f46(f3(x6391),f26(x6392,x6391)),f26(x6393,x6391)),f26(f46(f46(f3(a1),x6392),x6393),x6391))
% 0.94/1.24 [814]~P12(x8143,x8142,a1)+E(f4(f46(f46(f3(a1),x8141),x8142),x8143,a1),f46(f46(f3(a1),x8141),f4(x8142,x8143,a1)))
% 0.94/1.24 [817]~P12(x8172,x8173,a1)+E(f4(f46(f46(f3(a1),x8171),x8172),x8173,a1),f4(x8171,f4(x8173,x8172,a1),a1))
% 0.94/1.24 [842]~P12(x8423,x8422,a1)+P12(x8421,f4(f46(f46(f3(a1),x8422),x8421),x8423,a1),a1)
% 0.94/1.24 [902]~P12(x9023,x9021,a1)+E(f4(f46(f46(f3(a1),x9021),x9022),x9023,a1),f46(f46(f3(a1),f4(x9021,x9023,a1)),x9022))
% 0.94/1.24 [907]~P12(x9072,x9071,a1)+E(f4(f31(x9071),f46(f46(f3(a1),x9072),x9073),a1),f4(f31(f4(x9071,x9072,a1)),x9073,a1))
% 0.94/1.24 [981]P58(f46(x9811,x9812))+~P58(f46(x9811,f4(f46(f46(f3(a1),x9813),x9812),x9813,a1)))
% 0.94/1.24 [381]E(x3811,x3812)+~E(f33(x3813,x3811),f33(x3814,x3812))
% 0.94/1.24 [382]E(x3821,x3822)+~E(f33(x3821,x3823),f33(x3822,x3824))
% 0.94/1.24 [644]~P11(x6441,x6444)+P11(f21(x6441,x6442,x6443),f21(x6444,x6442,x6443))
% 0.94/1.24 [476]E(x4761,x4762)+~E(f46(f46(a13,x4763),x4761),f46(f46(a13,x4764),x4762))
% 0.94/1.24 [477]E(x4771,x4772)+~E(f46(f46(a13,x4771),x4773),f46(f46(a13,x4772),x4774))
% 0.94/1.24 [724]~P32(x7243)+E(f32(f32(x7241,x7242,x7243),x7244,x7243),f32(x7241,f9(x7242,x7244,a1),x7243))
% 0.94/1.24 [725]~P21(x7253)+E(f32(f32(x7251,x7252,x7253),x7254,x7253),f32(x7251,f9(x7252,x7254,a1),x7253))
% 0.94/1.24 [726]~P32(x7264)+E(f9(x7261,f9(x7262,x7263,x7264),x7264),f9(x7262,f9(x7261,x7263,x7264),x7264))
% 0.94/1.24 [727]~P2(x7274)+E(f30(x7271,f30(x7272,x7273,x7274),x7274),f30(x7272,f30(x7271,x7273,x7274),x7274))
% 0.94/1.24 [728]~P2(x7284)+E(f29(x7281,f29(x7282,x7283,x7284),x7284),f29(x7282,f29(x7281,x7283,x7284),x7284))
% 0.94/1.24 [731]~P32(x7313)+E(f9(f9(x7311,x7312,x7313),x7314,x7313),f9(x7311,f9(x7312,x7314,x7313),x7313))
% 0.94/1.24 [732]~P18(x7323)+E(f9(f9(x7321,x7322,x7323),x7324,x7323),f9(x7321,f9(x7322,x7324,x7323),x7323))
% 0.94/1.24 [734]~P2(x7343)+E(f30(f30(x7341,x7342,x7343),x7344,x7343),f30(x7341,f30(x7342,x7344,x7343),x7343))
% 0.94/1.24 [735]~P2(x7353)+E(f29(f29(x7351,x7352,x7353),x7354,x7353),f29(x7351,f29(x7352,x7354,x7353),x7353))
% 0.94/1.24 [736]~P32(x7363)+E(f9(f9(x7361,x7362,x7363),x7364,x7363),f9(f9(x7361,x7364,x7363),x7362,x7363))
% 0.94/1.24 [856]~P2(x8563)+E(f29(f30(x8561,x8562,x8563),f30(x8561,x8564,x8563),x8563),f30(x8561,f29(x8562,x8564,x8563),x8563))
% 0.94/1.24 [857]~P2(x8573)+E(f30(f29(x8571,x8572,x8573),f29(x8571,x8574,x8573),x8573),f29(x8571,f30(x8572,x8574,x8573),x8573))
% 0.94/1.24 [858]~P27(x8583)+E(f30(f4(x8581,x8582,x8583),f4(x8584,x8582,x8583),x8583),f4(f30(x8581,x8584,x8583),x8582,x8583))
% 0.94/1.24 [859]~P27(x8593)+E(f29(f4(x8591,x8592,x8593),f4(x8594,x8592,x8593),x8593),f4(f29(x8591,x8594,x8593),x8592,x8593))
% 0.94/1.24 [860]~P32(x8603)+E(f9(f32(x8601,x8602,x8603),f32(x8604,x8602,x8603),x8603),f32(f9(x8601,x8604,x8603),x8602,x8603))
% 0.94/1.24 [861]~P23(x8613)+E(f9(f32(x8611,x8612,x8613),f32(x8614,x8612,x8613),x8613),f32(f9(x8611,x8614,x8613),x8612,x8613))
% 0.94/1.24 [862]~P2(x8623)+E(f29(f30(x8621,x8622,x8623),f30(x8624,x8622,x8623),x8623),f30(f29(x8621,x8624,x8623),x8622,x8623))
% 0.94/1.24 [863]~P2(x8633)+E(f30(f29(x8631,x8632,x8633),f29(x8634,x8632,x8633),x8633),f29(f30(x8631,x8634,x8633),x8632,x8633))
% 0.94/1.24 [968]P10(x9681,x9682,f40(x9683,x9681,x9684,x9682))+~P10(x9681,f46(f46(a13,x9684),x9682),x9683)
% 0.94/1.24 [975]~P2(x9754)+P12(f29(x9751,f30(x9752,x9753,x9754),x9754),f30(f29(x9751,x9752,x9754),f29(x9751,x9753,x9754),x9754),x9754)
% 0.94/1.24 [976]~P2(x9763)+P12(f29(f30(x9761,x9762,x9763),f30(x9761,x9764,x9763),x9763),f30(x9761,f29(x9762,x9764,x9763),x9763),x9763)
% 0.94/1.24 [977]P10(x9771,f12(x9772),f33(x9773,x9774))+~P10(f35(x9771,f2(a1),x9773,a48),x9772,x9774)
% 0.94/1.24 [988]P10(x9881,x9882,f33(f40(x9883,x9881,x9882,x9884),x9883))+~P10(x9881,f46(f46(a13,x9882),x9884),x9883)
% 0.94/1.24 [1034]E(x10341,x10342)+~E(f23(a13,f12(x10343),x10341,a45,a45),f23(a13,f12(x10344),x10342,a45,a45))
% 0.94/1.24 [1035]E(x10351,x10352)+~E(f23(a13,f11(x10353),x10351,a45,a45),f23(a13,f11(x10354),x10352,a45,a45))
% 0.94/1.24 [1036]E(x10361,x10362)+~E(f23(a13,f12(x10361),x10363,a45,a45),f23(a13,f12(x10362),x10364,a45,a45))
% 0.94/1.24 [1037]E(x10371,x10372)+~E(f23(a13,f11(x10371),x10373,a45,a45),f23(a13,f11(x10372),x10374,a45,a45))
% 0.94/1.24 [1000]P58(f46(x10001,f46(x10002,x10003)))+~P58(f46(x10001,f25(x10004,x10002,f31(x10003),a47)))
% 0.94/1.24 [1002]P58(f46(x10021,f46(x10022,x10023)))+~P58(f46(x10021,f43(x10022,x10024,f34(x10023),a47)))
% 0.94/1.24 [690]~P4(x6901)+E(f46(f46(f3(x6901),x6902),f46(f46(f3(x6901),x6903),x6904)),f46(f46(f3(x6901),x6903),f46(f46(f3(x6901),x6902),x6904)))
% 0.94/1.24 [691]~P32(x6911)+E(f46(f46(f3(x6911),x6912),f46(f46(f3(x6911),x6913),x6914)),f46(f46(f3(x6911),x6913),f46(f46(f3(x6911),x6912),x6914)))
% 0.94/1.24 [692]~P16(x6921)+E(f46(f46(f3(x6921),x6922),f46(f46(f3(x6921),x6923),x6924)),f46(f46(f3(x6921),x6923),f46(f46(f3(x6921),x6922),x6924)))
% 0.94/1.24 [838]~P32(x8383)+E(f9(f32(x8381,x8382,x8383),f32(x8381,x8384,x8383),x8383),f32(x8381,f46(f46(f3(a1),x8382),x8384),x8383))
% 0.94/1.24 [839]~P21(x8393)+E(f9(f32(x8391,x8392,x8393),f32(x8391,x8394,x8393),x8393),f32(x8391,f46(f46(f3(a1),x8392),x8394),x8393))
% 0.94/1.24 [915]~P3(x9151)+E(f30(f46(f46(f3(x9151),x9152),x9153),f46(f46(f3(x9151),x9154),x9153),x9151),f46(f46(f3(x9151),f30(x9152,x9154,x9151)),x9153))
% 0.94/1.24 [916]~P3(x9161)+E(f29(f46(f46(f3(x9161),x9162),x9163),f46(f46(f3(x9161),x9164),x9163),x9161),f46(f46(f3(x9161),f29(x9162,x9164,x9161)),x9163))
% 0.94/1.24 [917]~P32(x9171)+E(f46(f46(f3(x9171),f9(x9172,x9173,x9171)),f9(x9172,x9174,x9171)),f9(x9172,f46(f46(f3(x9171),x9173),x9174),x9171))
% 0.94/1.24 [919]~P36(x9191)+E(f46(f46(f3(x9191),f9(x9192,x9193,x9191)),f9(x9194,x9193,x9191)),f9(f46(f46(f3(x9191),x9192),x9194),x9193,x9191))
% 0.94/1.24 [920]~P32(x9201)+E(f46(f46(f3(x9201),f9(x9202,x9203,x9201)),f9(x9204,x9203,x9201)),f9(f46(f46(f3(x9201),x9202),x9204),x9203,x9201))
% 0.94/1.24 [1033]~P31(x10331)+E(f23(f3(x10331),f46(f46(f3(x10331),x10332),x10333),x10334,x10331,x10331),f46(f46(f3(x10331),x10332),f23(f3(x10331),x10333,x10334,x10331,x10331)))
% 0.94/1.24 [835]~P4(x8351)+E(f46(f46(f3(x8351),f46(f46(f3(x8351),x8352),x8353)),x8354),f46(f46(f3(x8351),x8352),f46(f46(f3(x8351),x8353),x8354)))
% 0.94/1.24 [836]~P32(x8361)+E(f46(f46(f3(x8361),f46(f46(f3(x8361),x8362),x8363)),x8364),f46(f46(f3(x8361),x8362),f46(f46(f3(x8361),x8363),x8364)))
% 0.94/1.24 [837]~P15(x8371)+E(f46(f46(f3(x8371),f46(f46(f3(x8371),x8372),x8373)),x8374),f46(f46(f3(x8371),x8372),f46(f46(f3(x8371),x8373),x8374)))
% 0.94/1.24 [913]~P32(x9131)+E(f46(f46(f3(x9131),f46(f46(f3(x9131),x9132),x9133)),x9134),f46(f46(f3(x9131),f46(f46(f3(x9131),x9132),x9134)),x9133))
% 0.94/1.24 [1009]~P12(x10091,x10093,a1)+E(f46(f46(f3(a1),f9(x10091,x10092,a1)),f46(f46(f3(a1),f9(f4(x10093,x10091,a1),x10092,a1)),x10094)),f46(f46(f3(a1),f9(x10093,x10092,a1)),x10094))
% 0.94/1.24 [559]E(x5591,x5592)+~E(f22(x5591,x5593,x5594),f22(x5592,x5595,x5594))
% 0.94/1.24 [964]~P10(x9641,x9644,x9645)+P10(f35(x9641,x9642,x9643,a48),f19(x9644,x9642),x9645)
% 0.94/1.24 [926]~P32(x9263)+E(f9(f9(x9261,x9262,x9263),f9(x9264,x9265,x9263),x9263),f9(f9(x9261,x9264,x9263),f9(x9262,x9265,x9263),x9263))
% 0.94/1.24 [951]~P6(x9515,x9512,a1)+E(f46(f35(x9511,x9512,x9513,x9514),x9515),f46(x9511,x9515))
% 0.94/1.24 [1011]P58(f46(x10111,f46(f46(x10112,x10113),x10114)))+~P58(f46(x10111,f43(x10115,x10112,f33(x10113,x10114),a47)))
% 0.94/1.24 [1041]P58(f46(x10411,f46(x10412,x10413)))+~P58(f46(x10411,f15(x10414,x10415,x10412,f12(x10413),a47)))
% 0.94/1.24 [1043]P58(f46(x10431,f46(x10432,x10433)))+~P58(f46(x10431,f15(x10432,x10434,x10435,f11(x10433),a47)))
% 0.94/1.24 [967]~P32(x9671)+E(f46(f46(f3(x9671),f46(f46(f3(x9671),x9672),x9673)),f46(f46(f3(x9671),x9674),x9675)),f46(f46(f3(x9671),f46(f46(f3(x9671),x9672),x9674)),f46(f46(f3(x9671),x9673),x9675)))
% 0.94/1.24 [1007]~P55(x10071)+E(f46(f46(f3(x10071),f9(x10072,x10073,x10071)),f46(f46(f3(x10071),f9(f4(x10074,x10072,x10071),x10073,x10071)),x10075)),f46(f46(f3(x10071),f9(x10074,x10073,x10071)),x10075))
% 0.94/1.24 [1012]~P12(x10121,x10124,a1)+E(f4(f46(f46(f3(a1),f9(x10121,x10122,a1)),x10123),f46(f46(f3(a1),f9(x10124,x10122,a1)),x10125),a1),f4(x10123,f46(f46(f3(a1),f9(f4(x10124,x10121,a1),x10122,a1)),x10125),a1))
% 0.94/1.24 [1013]~P12(x10134,x10131,a1)+E(f4(f46(f46(f3(a1),f9(x10131,x10132,a1)),x10133),f46(f46(f3(a1),f9(x10134,x10132,a1)),x10135),a1),f4(f46(f46(f3(a1),f9(f4(x10131,x10134,a1),x10132,a1)),x10133),x10135,a1))
% 0.94/1.24 [992]~P48(x9921)+E(f46(f46(f3(x9921),f9(x9922,x9923,x9921)),f46(f46(f3(x9921),f9(x9924,x9923,x9921)),x9925)),f46(f46(f3(x9921),f9(f46(f46(f3(x9921),x9922),x9924),x9923,x9921)),x9925))
% 0.94/1.24 [1046]P58(f46(x10461,f46(f46(x10462,x10463),x10464)))+~P58(f46(x10461,f15(x10465,x10462,x10466,f46(f46(a13,x10463),x10464),a47)))
% 0.94/1.24 [1048]~P7(x10484,x10481,x10485,x10486,x10482,x10487)+E(f46(f46(x10481,x10482),x10483),x10483)
% 0.94/1.24 [1049]~P7(x10494,x10491,x10495,x10493,x10496,x10497)+E(f46(f46(x10491,x10492),x10493),x10493)
% 0.94/1.24 [1051]~P7(x10511,x10514,x10515,x10512,x10516,x10517)+E(f46(f46(x10511,x10512),x10513),x10513)
% 0.94/1.24 [1052]~P7(x10524,x10521,x10525,x10526,x10523,x10527)+E(f46(f46(x10521,x10522),x10523),x10522)
% 0.94/1.24 [1054]~P7(x10544,x10541,x10545,x10542,x10546,x10547)+E(f46(f46(x10541,x10542),x10543),x10542)
% 0.94/1.24 [1055]~P7(x10551,x10554,x10555,x10553,x10556,x10557)+E(f46(f46(x10551,x10552),x10553),x10552)
% 0.94/1.24 [1056]~P7(x10564,x10565,x10561,x10566,x10563,x10567)+E(f46(f46(x10561,x10562),f2(a1)),x10563)
% 0.94/1.24 [1064]~P7(x10641,x10643,x10645,x10646,x10644,x10647)+E(f46(f46(x10641,x10642),x10642),f46(f46(x10643,f46(f46(x10641,x10644),x10644)),x10642))
% 0.94/1.24 [1058]~P7(x10584,x10581,x10585,x10586,x10587,x10588)+E(f46(f46(x10581,x10582),x10583),f46(f46(x10581,x10583),x10582))
% 0.94/1.24 [1060]~P7(x10601,x10604,x10605,x10606,x10607,x10608)+E(f46(f46(x10601,x10602),x10603),f46(f46(x10601,x10603),x10602))
% 0.94/1.24 [1063]~P7(x10635,x10631,x10633,x10636,x10637,x10638)+E(f46(f46(x10631,x10632),f46(f46(x10633,x10632),x10634)),f46(f46(x10633,x10632),f31(x10634)))
% 0.94/1.24 [1067]~P7(x10675,x10671,x10672,x10676,x10677,x10678)+E(f46(f46(x10671,f46(f46(x10672,x10673),x10674)),x10673),f46(f46(x10672,x10673),f31(x10674)))
% 0.94/1.24 [1068]~P7(x10681,x10683,x10686,x10687,x10685,x10688)+E(f46(f46(x10681,x10682),f46(f46(x10683,x10684),x10682)),f46(f46(x10683,f46(f46(x10681,x10684),x10685)),x10682))
% 0.94/1.24 [1076]~P7(x10761,x10762,x10766,x10767,x10765,x10768)+E(f46(f46(x10761,f46(f46(x10762,x10763),x10764)),x10764),f46(f46(x10762,f46(f46(x10761,x10763),x10765)),x10764))
% 0.94/1.24 [1065]~P7(x10655,x10651,x10656,x10657,x10658,x10659)+E(f46(f46(x10651,x10652),f46(f46(x10651,x10653),x10654)),f46(f46(x10651,x10653),f46(f46(x10651,x10652),x10654)))
% 0.94/1.24 [1066]~P7(x10661,x10665,x10666,x10667,x10668,x10669)+E(f46(f46(x10661,x10662),f46(f46(x10661,x10663),x10664)),f46(f46(x10661,x10663),f46(f46(x10661,x10662),x10664)))
% 0.94/1.24 [1079]~P7(x10791,x10792,x10796,x10797,x10798,x10799)+E(f46(f46(x10791,f46(f46(x10792,x10793),x10794)),f46(f46(x10792,x10793),x10795)),f46(f46(x10792,x10793),f46(f46(x10791,x10794),x10795)))
% 0.94/1.24 [1073]~P7(x10735,x10731,x10736,x10737,x10738,x10739)+E(f46(f46(x10731,f46(f46(x10731,x10732),x10733)),x10734),f46(f46(x10731,x10732),f46(f46(x10731,x10733),x10734)))
% 0.94/1.24 [1074]~P7(x10741,x10745,x10746,x10747,x10748,x10749)+E(f46(f46(x10741,f46(f46(x10741,x10742),x10743)),x10744),f46(f46(x10741,x10742),f46(f46(x10741,x10743),x10744)))
% 0.94/1.24 [1075]~P7(x10755,x10756,x10751,x10757,x10758,x10759)+E(f46(f46(x10751,f46(f46(x10751,x10752),x10753)),x10754),f46(f46(x10751,x10752),f9(x10753,x10754,a1)))
% 0.94/1.24 [1077]~P7(x10775,x10771,x10776,x10777,x10778,x10779)+E(f46(f46(x10771,f46(f46(x10771,x10772),x10773)),x10774),f46(f46(x10771,f46(f46(x10771,x10772),x10774)),x10773))
% 0.94/1.24 [1078]~P7(x10781,x10785,x10786,x10787,x10788,x10789)+E(f46(f46(x10781,f46(f46(x10781,x10782),x10783)),x10784),f46(f46(x10781,f46(f46(x10781,x10782),x10784)),x10783))
% 0.94/1.24 [1080]~P7(x10806,x10801,x10802,x10807,x10808,x10809)+E(f46(f46(x10801,f46(f46(x10802,x10803),x10804)),f46(f46(x10802,x10803),x10805)),f46(f46(x10802,x10803),f46(f46(f3(a1),x10804),x10805)))
% 0.94/1.24 [1081]~P7(x10816,x10811,x10812,x10817,x10818,x10819)+E(f46(f46(x10811,f46(f46(x10812,x10813),x10814)),f46(f46(x10812,x10815),x10814)),f46(f46(x10812,f46(f46(x10811,x10813),x10815)),x10814))
% 0.94/1.24 [1083]~P7(x10831,x10832,x10836,x10837,x10838,x10839)+E(f46(f46(x10831,f46(f46(x10832,x10833),x10834)),f46(f46(x10832,x10835),x10834)),f46(f46(x10832,f46(f46(x10831,x10833),x10835)),x10834))
% 0.94/1.24 [1085]~P7(x10856,x10851,x10857,x10858,x10859,x108510)+E(f46(f46(x10851,f46(f46(x10851,x10852),x10853)),f46(f46(x10851,x10854),x10855)),f46(f46(x10851,f46(f46(x10851,x10852),x10854)),f46(f46(x10851,x10853),x10855)))
% 0.94/1.24 [1086]~P7(x10861,x10866,x10867,x10868,x10869,x108610)+E(f46(f46(x10861,f46(f46(x10861,x10862),x10863)),f46(f46(x10861,x10864),x10865)),f46(f46(x10861,f46(f46(x10861,x10862),x10864)),f46(f46(x10861,x10863),x10865)))
% 0.94/1.24 [588]~P28(x5881)+~P12(f2(x5881),f2(x5881),x5881)+E(f46(f46(f3(x5881),f2(x5881)),f2(x5881)),f2(x5881))
% 0.94/1.24 [455]E(x4551,x4552)+P6(x4552,x4551,a1)+P6(x4551,x4552,a1)
% 0.94/1.24 [498]E(x4981,x4982)+P6(x4981,x4982,a1)+~P12(x4981,x4982,a1)
% 0.94/1.24 [555]E(x5551,x5552)+~P12(x5552,x5551,a1)+~P12(x5551,x5552,a1)
% 0.94/1.24 [412]~P38(x4122)+~P14(x4122)+E(f4(x4121,x4121,x4122),f2(x4122))
% 0.94/1.24 [433]E(x4331,f2(a1))+E(x4332,f2(a1))+~E(f9(x4332,x4331,a1),f2(a1))
% 0.94/1.24 [519]~P6(x5191,x5192,a1)+E(f31(x5191),x5192)+P6(f31(x5191),x5192,a1)
% 0.94/1.24 [520]E(x5201,x5202)+P6(x5202,x5201,a1)+~P6(x5202,f31(x5201),a1)
% 0.94/1.24 [522]E(x5221,x5222)+P6(x5221,x5222,a1)+~P6(x5221,f31(x5222),a1)
% 0.94/1.24 [541]P12(x5411,x5412,a1)+E(x5411,f31(x5412))+~P12(x5411,f31(x5412),a1)
% 0.94/1.24 [566]E(x5661,x5662)+~E(f4(x5662,x5661,a1),f2(a1))+~E(f4(x5661,x5662,a1),f2(a1))
% 0.94/1.24 [570]E(x5701,x5702)+~P12(x5702,x5701,a1)+~P6(x5701,f31(x5702),a1)
% 0.94/1.24 [587]~P1(x5871)+P6(f2(x5871),f26(x5872,x5871),x5871)+~P6(f2(a1),x5872,a1)
% 0.94/1.24 [598]~P1(x5982)+~P6(f2(x5982),f26(x5981,x5982),x5982)+P6(f2(a1),x5981,a1)
% 0.94/1.24 [739]P6(f4(x7391,x7392,a1),x7391,a1)+~P6(f2(a1),x7392,a1)+~P6(f2(a1),x7391,a1)
% 0.94/1.24 [743]~P6(f2(a1),x7432,a1)+~P6(f2(a1),x7431,a1)+P6(f2(a1),f9(x7431,x7432,a1),a1)
% 0.94/1.24 [413]~P38(x4131)+~P14(x4131)+E(f46(f46(f3(x4131),x4132),f2(x4131)),x4132)
% 0.94/1.24 [420]~P33(x4201)+~P47(x4201)+E(f32(f2(x4201),f31(x4202),x4201),f2(x4201))
% 0.94/1.24 [487]P58(f46(x4871,x4872))+P58(f46(x4871,f55(x4871)))+~P58(f46(x4871,f2(a1)))
% 0.94/1.24 [488]P58(f46(x4881,x4882))+P58(f46(x4881,f56(x4881)))+~P58(f46(x4881,f2(a1)))
% 0.94/1.24 [489]P58(f46(x4891,x4892))+P58(f46(x4891,f57(x4891)))+~P58(f46(x4891,f2(a1)))
% 0.94/1.24 [490]P58(f46(x4901,x4902))+P58(f46(x4901,f58(x4901)))+~P58(f46(x4901,f2(a1)))
% 0.94/1.24 [491]P58(f46(x4911,x4912))+P58(f46(x4911,f6(x4911)))+~P58(f46(x4911,f2(a1)))
% 0.94/1.24 [532]P6(f2(a1),f7(x5321),a1)+P58(f46(x5321,x5322))+~P58(f46(x5321,f2(a1)))
% 0.94/1.24 [542]P58(f46(x5421,x5422))+~P58(f46(x5421,f7(x5421)))+~P58(f46(x5421,f2(a1)))
% 0.94/1.24 [545]P12(f8(x5451,x5452),x5452,a1)+~P58(f46(x5451,x5452))+P58(f46(x5451,f2(a1)))
% 0.94/1.24 [548]~P58(f46(x5481,x5482))+P58(f46(x5481,f8(x5481,x5482)))+P58(f46(x5481,f2(a1)))
% 0.94/1.24 [784]P6(x7841,f9(x7842,x7841,a1),a1)+~P6(f31(f2(a1)),x7842,a1)+~P6(f31(f2(a1)),x7841,a1)
% 0.94/1.24 [785]P6(x7851,f9(x7851,x7852,a1),a1)+~P6(f31(f2(a1)),x7852,a1)+~P6(f31(f2(a1)),x7851,a1)
% 0.94/1.24 [811]~P12(f31(f2(a1)),x8112,a1)+~P12(f31(f2(a1)),x8111,a1)+P12(f31(f2(a1)),f9(x8111,x8112,a1),a1)
% 0.94/1.24 [812]~P6(f31(f2(a1)),x8122,a1)+~P6(f31(f2(a1)),x8121,a1)+P6(f31(f2(a1)),f9(x8121,x8122,a1),a1)
% 0.94/1.24 [426]E(x4261,f2(a1))+E(x4262,f2(a1))+~E(f46(f46(f3(a1),x4262),x4261),f31(f2(a1)))
% 0.94/1.24 [437]E(x4371,f2(a1))+E(x4371,f31(f2(a1)))+~E(f46(f46(f3(a1),x4372),x4371),f31(f2(a1)))
% 0.94/1.24 [438]E(x4381,f2(a1))+E(x4381,f31(f2(a1)))+~E(f46(f46(f3(a1),x4381),x4382),f31(f2(a1)))
% 0.94/1.24 [442]E(x4421,f31(f2(a1)))+E(x4422,f31(f2(a1)))+~E(f46(f46(f3(a1),x4422),x4421),f31(f2(a1)))
% 0.94/1.24 [443]~P25(x4432)+E(x4431,f2(x4432))+~E(f46(f46(f3(x4432),x4431),x4431),f2(x4432))
% 0.94/1.24 [591]P58(f46(x5911,x5912))+~P58(f46(x5911,f2(a1)))+~P58(f46(x5911,f31(f55(x5911))))
% 0.94/1.24 [592]P58(f46(x5921,x5922))+~P58(f46(x5921,f2(a1)))+~P58(f46(x5921,f31(f56(x5921))))
% 0.94/1.24 [593]P58(f46(x5931,x5932))+~P58(f46(x5931,f2(a1)))+~P58(f46(x5931,f31(f57(x5931))))
% 0.94/1.24 [594]P58(f46(x5941,x5942))+~P58(f46(x5941,f2(a1)))+~P58(f46(x5941,f31(f58(x5941))))
% 0.94/1.24 [595]P58(f46(x5951,x5952))+~P58(f46(x5951,f2(a1)))+~P58(f46(x5951,f31(f6(x5951))))
% 0.94/1.24 [667]~P25(x6671)+~P12(f2(x6671),x6672,x6671)+P12(f2(x6671),f46(f46(f3(x6671),x6672),x6672),x6671)
% 0.94/1.24 [668]~P25(x6681)+~P6(f2(x6681),x6682,x6681)+P6(f2(x6681),f46(f46(f3(x6681),x6682),x6682),x6681)
% 0.94/1.24 [669]~P25(x6691)+~P12(x6692,f2(x6691),x6691)+P12(f46(f46(f3(x6691),x6692),x6692),f2(x6691),x6691)
% 0.94/1.24 [670]~P25(x6701)+~P6(x6702,f2(x6701),x6701)+P6(f46(f46(f3(x6701),x6702),x6702),f2(x6701),x6701)
% 0.94/1.24 [671]~P43(x6711)+~P6(x6712,f2(x6711),x6711)+P6(f46(f46(f3(x6711),x6712),x6712),f2(x6711),x6711)
% 0.94/1.24 [717]~P25(x7172)+P12(x7171,f2(x7172),x7172)+~P12(f46(f46(f3(x7172),x7171),x7171),f2(x7172),x7172)
% 0.94/1.24 [718]~P25(x7182)+P6(x7181,f2(x7182),x7182)+~P6(f46(f46(f3(x7182),x7181),x7181),f2(x7182),x7182)
% 0.94/1.24 [719]~P43(x7192)+P6(x7191,f2(x7192),x7192)+~P6(f46(f46(f3(x7192),x7191),x7191),f2(x7192),x7192)
% 0.94/1.24 [720]~P25(x7201)+P12(f2(x7201),x7202,x7201)+~P12(f2(x7201),f46(f46(f3(x7201),x7202),x7202),x7201)
% 0.94/1.24 [721]~P25(x7211)+P6(f2(x7211),x7212,x7211)+~P6(f2(x7211),f46(f46(f3(x7211),x7212),x7212),x7211)
% 0.94/1.24 [755]P6(f2(a1),x7551,a1)+P6(f2(a1),x7552,a1)+~P6(f2(a1),f46(f46(f3(a1),x7551),x7552),a1)
% 0.94/1.24 [910]P6(x9101,x9102,a1)+~P6(f2(a1),x9102,a1)+E(f31(f5(f4(x9101,x9102,a1),x9102,a1)),f5(x9101,x9102,a1))
% 0.94/1.24 [923]~P12(x9232,x9231,a1)+~P6(f2(a1),x9232,a1)+E(f31(f5(f4(x9231,x9232,a1),x9232,a1)),f5(x9231,x9232,a1))
% 0.94/1.24 [471]P12(x4712,x4711,x4713)+~P2(x4713)+P12(x4711,x4712,x4713)
% 0.94/1.24 [474]P6(x4742,x4741,x4743)+~P2(x4743)+P12(x4741,x4742,x4743)
% 0.94/1.24 [515]~P34(x5153)+~P6(x5151,x5152,x5153)+P12(x5151,x5152,x5153)
% 0.94/1.24 [516]~P35(x5163)+~P6(x5161,x5162,x5163)+P12(x5161,x5162,x5163)
% 0.94/1.24 [572]~P6(x5723,x5722,x5721)+~P2(x5721)+~P12(x5722,x5723,x5721)
% 0.94/1.24 [574]~P6(x5743,x5742,x5741)+~P2(x5741)+~P6(x5742,x5743,x5741)
% 0.94/1.24 [575]~P6(x5753,x5752,x5751)+~P34(x5751)+~P12(x5752,x5753,x5751)
% 0.94/1.24 [577]~P6(x5773,x5772,x5771)+~P34(x5771)+~P6(x5772,x5773,x5771)
% 0.94/1.24 [578]~P6(x5783,x5782,x5781)+~P35(x5781)+~P6(x5782,x5783,x5781)
% 0.94/1.24 [603]~P12(x6031,x6033,a1)+P12(x6031,x6032,a1)+~P12(x6033,x6032,a1)
% 0.94/1.24 [384]~P8(x3843)+E(x3841,x3842)+~E(f26(x3841,x3843),f26(x3842,x3843))
% 0.94/1.24 [444]~P24(x4443)+E(x4441,x4442)+~E(f4(x4441,x4442,x4443),f2(x4443))
% 0.94/1.24 [445]~P16(x4453)+E(x4451,x4452)+~E(f4(x4451,x4452,x4453),f2(x4453))
% 0.94/1.24 [449]~P53(x4492)+~E(f32(x4491,x4493,x4492),f2(x4492))+E(x4491,f2(x4492))
% 0.94/1.24 [523]~P2(x5233)+~P12(x5232,x5231,x5233)+E(f30(x5231,x5232,x5233),x5232)
% 0.94/1.24 [524]~P2(x5243)+~P12(x5241,x5242,x5243)+E(f30(x5241,x5242,x5243),x5241)
% 0.94/1.24 [525]~P2(x5253)+~P12(x5251,x5252,x5253)+E(f29(x5251,x5252,x5253),x5252)
% 0.94/1.24 [526]~P2(x5263)+~P12(x5262,x5261,x5263)+E(f29(x5261,x5262,x5263),x5261)
% 0.94/1.24 [530]~P2(x5303)+P12(x5301,x5302,x5303)+~E(f30(x5301,x5302,x5303),x5301)
% 0.94/1.24 [531]~P2(x5313)+P12(x5311,x5312,x5313)+~E(f29(x5311,x5312,x5313),x5312)
% 0.94/1.24 [557]E(x5571,x5572)+~E(f9(x5573,x5571,a1),f9(x5573,x5572,a1))+E(x5573,f2(a1))
% 0.94/1.24 [558]E(x5581,x5582)+~E(f9(x5581,x5583,a1),f9(x5582,x5583,a1))+E(x5583,f2(a1))
% 0.94/1.24 [596]~P1(x5962)+~P12(x5961,x5963,a1)+P12(f26(x5961,x5962),f26(x5963,x5962),x5962)
% 0.94/1.24 [597]~P1(x5972)+~P6(x5971,x5973,a1)+P6(f26(x5971,x5972),f26(x5973,x5972),x5972)
% 0.94/1.24 [616]~P6(x6161,x6163,a1)+~P6(x6163,x6162,a1)+P6(f31(x6161),x6162,a1)
% 0.94/1.24 [618]~P1(x6183)+~P12(f26(x6181,x6183),f26(x6182,x6183),x6183)+P12(x6181,x6182,a1)
% 0.94/1.24 [619]~P1(x6193)+~P6(f26(x6191,x6193),f26(x6192,x6193),x6193)+P6(x6191,x6192,a1)
% 0.94/1.24 [663]E(x6631,x6632)+~E(f9(x6633,x6631,a1),f9(x6633,x6632,a1))+~P6(f2(a1),x6633,a1)
% 0.94/1.24 [665]~P27(x6653)+~P12(x6651,x6652,x6653)+P12(f4(x6651,x6652,x6653),f2(x6653),x6653)
% 0.94/1.24 [666]~P27(x6663)+~P6(x6661,x6662,x6663)+P6(f4(x6661,x6662,x6663),f2(x6663),x6663)
% 0.94/1.24 [672]~P1(x6721)+~P12(f2(x6721),x6722,x6721)+P12(f2(x6721),f32(x6722,x6723,x6721),x6721)
% 0.94/1.24 [673]~P1(x6731)+~P6(f2(x6731),x6732,x6731)+P6(f2(x6731),f32(x6732,x6733,x6731),x6731)
% 0.94/1.24 [722]~P27(x7223)+P12(x7221,x7222,x7223)+~P12(f4(x7221,x7222,x7223),f2(x7223),x7223)
% 0.94/1.24 [723]~P27(x7233)+P6(x7231,x7232,x7233)+~P6(f4(x7231,x7232,x7233),f2(x7233),x7233)
% 0.94/1.24 [846]~P12(x8462,x8461,a1)+~P6(x8461,x8463,a1)+P6(f4(x8461,x8462,a1),f4(x8463,x8462,a1),a1)
% 0.94/1.24 [847]~P6(x8473,x8472,a1)+~P6(x8473,x8471,a1)+P6(f4(x8471,x8472,a1),f4(x8471,x8473,a1),a1)
% 0.94/1.24 [850]~P12(x8503,x8502,a1)+P12(f5(x8501,x8502,a1),f5(x8501,x8503,a1),a1)+~P6(f2(a1),x8503,a1)
% 0.94/1.24 [852]~P6(x8521,x8523,a1)+P6(f9(x8521,x8522,a1),f9(x8523,x8522,a1),a1)+~P6(f2(a1),x8522,a1)
% 0.94/1.24 [855]~P6(x8552,x8553,a1)+P6(f9(x8551,x8552,a1),f9(x8551,x8553,a1),a1)+~P6(f2(a1),x8551,a1)
% 0.94/1.24 [935]P12(x9351,x9352,a1)+~P12(f9(x9353,x9351,a1),f9(x9353,x9352,a1),a1)+~P6(f2(a1),x9353,a1)
% 0.94/1.24 [936]P12(x9361,x9362,a1)+~P12(f9(x9361,x9363,a1),f9(x9362,x9363,a1),a1)+~P6(f2(a1),x9363,a1)
% 0.94/1.24 [483]E(x4831,x4832)+P6(x4832,x4831,a1)+E(f21(f11(x4831),x4833,x4832),f11(x4831))
% 0.94/1.24 [564]~P9(x5642)+E(x5641,f2(x5642))+E(f5(f9(x5643,x5641,x5642),x5641,x5642),x5643)
% 0.94/1.24 [565]~P9(x5652)+E(x5651,f2(x5652))+E(f5(f9(x5651,x5653,x5652),x5651,x5652),x5653)
% 0.94/1.24 [688]~P54(x6882)+~P12(x6883,x6881,a1)+E(f4(f26(x6881,x6882),f26(x6883,x6882),x6882),f26(f4(x6881,x6883,a1),x6882))
% 0.94/1.24 [903]~P12(x9032,x9033,a1)+~P12(x9032,x9031,a1)+E(f4(f4(x9031,x9032,a1),f4(x9033,x9032,a1),a1),f4(x9031,x9033,a1))
% 0.94/1.24 [904]~P6(x9042,x9043,a1)+~P58(f46(x9041,f4(x9042,x9043,a1)))+P58(f46(x9041,f2(a1)))
% 0.94/1.24 [949]~P44(x9492)+E(x9491,f2(x9492))+~E(f46(f46(f3(x9492),f9(x9493,x9493,x9492)),f9(x9491,x9491,x9492)),f2(x9492))
% 0.94/1.24 [950]~P44(x9502)+E(x9501,f2(x9502))+~E(f46(f46(f3(x9502),f9(x9501,x9501,x9502)),f9(x9503,x9503,x9502)),f2(x9502))
% 0.94/1.24 [973]~P44(x9732)+E(x9731,f2(x9732))+P6(f2(x9732),f46(f46(f3(x9732),f9(x9733,x9733,x9732)),f9(x9731,x9731,x9732)),x9732)
% 0.94/1.24 [974]~P44(x9742)+E(x9741,f2(x9742))+P6(f2(x9742),f46(f46(f3(x9742),f9(x9741,x9741,x9742)),f9(x9743,x9743,x9742)),x9742)
% 0.94/1.24 [990]~P44(x9902)+E(x9901,f2(x9902))+~P12(f46(f46(f3(x9902),f9(x9903,x9903,x9902)),f9(x9901,x9901,x9902)),f2(x9902),x9902)
% 0.94/1.24 [991]~P44(x9912)+E(x9911,f2(x9912))+~P12(f46(f46(f3(x9912),f9(x9911,x9911,x9912)),f9(x9913,x9913,x9912)),f2(x9912),x9912)
% 0.94/1.24 [689]~P12(x6891,x6892,a1)+~P6(f2(a1),x6893,a1)+P6(x6891,f46(f46(f3(a1),x6892),x6893),a1)
% 0.94/1.24 [894]~P12(x8943,x8942,a1)+P12(x8941,f4(x8942,x8943,a1),a1)+~P12(f46(f46(f3(a1),x8941),x8943),x8942,a1)
% 0.94/1.24 [899]~P12(x8992,x8993,a1)+~P12(x8991,f4(x8993,x8992,a1),a1)+P12(f46(f46(f3(a1),x8991),x8992),x8993,a1)
% 0.94/1.24 [1039]~P5(x10392)+~P5(f23(a13,f21(x10391,x10392,f2(a1)),x10393,a45,a45))+P5(f23(a13,f46(f46(a13,f12(x10391)),x10392),x10393,a45,a45))
% 0.94/1.24 [546]~P10(x5461,x5464,x5463)+P10(x5461,x5462,x5463)+~P11(x5464,x5462)
% 0.94/1.24 [423]~E(f36(x4231),f33(x4234,x4233))+P58(f46(x4231,x4232))+P58(f46(x4231,x4233))
% 0.94/1.24 [424]~E(f36(x4241),f33(x4243,x4244))+P58(f46(x4241,x4242))+P58(f46(x4241,x4243))
% 0.94/1.24 [581]~P16(x5814)+E(x5811,x5812)+~E(f4(x5813,x5813,x5814),f4(x5811,x5812,x5814))
% 0.94/1.24 [582]~P16(x5823)+E(x5821,x5822)+~E(f4(x5821,x5822,x5823),f4(x5824,x5824,x5823))
% 0.94/1.24 [647]~P2(x6474)+~P12(x6471,x6473,x6474)+P12(x6471,f29(x6472,x6473,x6474),x6474)
% 0.94/1.24 [649]~P2(x6494)+~P12(x6491,x6492,x6494)+P12(x6491,f29(x6492,x6493,x6494),x6494)
% 0.94/1.24 [651]~P2(x6514)+~P6(x6511,x6513,x6514)+P6(x6511,f29(x6512,x6513,x6514),x6514)
% 0.94/1.24 [653]~P2(x6534)+~P6(x6531,x6532,x6534)+P6(x6531,f29(x6532,x6533,x6534),x6534)
% 0.94/1.24 [655]~P2(x6553)+~P12(x6552,x6554,x6553)+P12(f30(x6551,x6552,x6553),x6554,x6553)
% 0.94/1.24 [657]~P2(x6573)+~P12(x6571,x6574,x6573)+P12(f30(x6571,x6572,x6573),x6574,x6573)
% 0.94/1.24 [659]~P2(x6593)+~P6(x6592,x6594,x6593)+P6(f30(x6591,x6592,x6593),x6594,x6593)
% 0.94/1.24 [661]~P2(x6613)+~P6(x6611,x6614,x6613)+P6(f30(x6611,x6612,x6613),x6614,x6613)
% 0.94/1.24 [694]~P2(x6943)+P12(x6941,x6942,x6943)+~P12(x6941,f30(x6944,x6942,x6943),x6943)
% 0.94/1.24 [696]~P2(x6963)+P12(x6961,x6962,x6963)+~P12(x6961,f30(x6962,x6964,x6963),x6963)
% 0.94/1.24 [697]~P2(x6973)+P6(x6971,x6972,x6973)+~P6(x6971,f30(x6974,x6972,x6973),x6973)
% 0.94/1.24 [698]~P2(x6983)+P6(x6981,x6982,x6983)+~P6(x6981,f30(x6982,x6984,x6983),x6983)
% 0.94/1.24 [700]~P2(x7003)+P12(x7001,x7002,x7003)+~P12(f29(x7004,x7001,x7003),x7002,x7003)
% 0.94/1.24 [702]~P2(x7023)+P12(x7021,x7022,x7023)+~P12(f29(x7021,x7024,x7023),x7022,x7023)
% 0.94/1.24 [703]~P2(x7033)+P6(x7031,x7032,x7033)+~P6(f29(x7034,x7031,x7033),x7032,x7033)
% 0.94/1.24 [704]~P2(x7043)+P6(x7041,x7042,x7043)+~P6(f29(x7041,x7044,x7043),x7042,x7043)
% 0.94/1.24 [845]~P12(x8452,x8454,a1)+~P12(x8451,x8453,a1)+P12(f9(x8451,x8452,a1),f9(x8453,x8454,a1),a1)
% 0.94/1.24 [740]~P9(x7402)+E(x7401,f2(x7402))+E(f5(f9(x7403,x7401,x7402),f9(x7404,x7401,x7402),x7402),f5(x7403,x7404,x7402))
% 0.94/1.24 [741]~P9(x7412)+E(x7411,f2(x7412))+E(f5(f9(x7411,x7413,x7412),f9(x7411,x7414,x7412),x7412),f5(x7413,x7414,x7412))
% 0.94/1.24 [900]E(x9001,x9002)+E(x9003,f2(a1))+~E(f46(f46(f3(a1),x9004),f9(x9003,x9001,a1)),f46(f46(f3(a1),x9004),f9(x9003,x9002,a1)))
% 0.94/1.24 [970]~P38(x9701)+~P14(x9701)+E(f46(f46(f3(x9701),f9(x9702,x9703,x9701)),f9(x9702,x9704,x9701)),f46(f46(f3(x9701),f9(x9702,x9704,x9701)),f9(x9702,x9703,x9701)))
% 0.94/1.24 [985]E(x9851,x9852)+E(x9853,x9854)+~E(f46(f46(f3(a1),f9(x9853,x9851,a1)),f9(x9854,x9852,a1)),f46(f46(f3(a1),f9(x9853,x9852,a1)),f9(x9854,x9851,a1)))
% 0.94/1.24 [560]~P17(x5603)+E(x5601,x5602)+~E(f46(f46(f3(x5603),x5604),x5601),f46(f46(f3(x5603),x5604),x5602))
% 0.94/1.24 [561]~P20(x5613)+E(x5611,x5612)+~E(f46(f46(f3(x5613),x5614),x5611),f46(f46(f3(x5613),x5614),x5612))
% 0.94/1.24 [562]~P20(x5623)+E(x5621,x5622)+~E(f46(f46(f3(x5623),x5621),x5624),f46(f46(f3(x5623),x5622),x5624))
% 0.94/1.24 [679]~P6(x6794,x6793,a1)+P6(x6791,x6792,a1)+~E(f46(f46(f3(a1),x6791),x6793),f46(f46(f3(a1),x6794),x6792))
% 0.94/1.24 [764]~P3(x7641)+~P12(x7642,x7644,x7641)+P12(f46(f46(f3(x7641),x7642),x7643),f46(f46(f3(x7641),x7644),x7643),x7641)
% 0.94/1.24 [765]~P26(x7651)+~P12(x7652,x7654,x7651)+P12(f46(f46(f3(x7651),x7652),x7653),f46(f46(f3(x7651),x7654),x7653),x7651)
% 0.94/1.24 [766]~P3(x7661)+~P12(x7663,x7664,x7661)+P12(f46(f46(f3(x7661),x7662),x7663),f46(f46(f3(x7661),x7662),x7664),x7661)
% 0.94/1.24 [767]~P26(x7671)+~P12(x7673,x7674,x7671)+P12(f46(f46(f3(x7671),x7672),x7673),f46(f46(f3(x7671),x7672),x7674),x7671)
% 0.94/1.24 [768]~P3(x7681)+~P6(x7682,x7684,x7681)+P6(f46(f46(f3(x7681),x7682),x7683),f46(f46(f3(x7681),x7684),x7683),x7681)
% 0.94/1.24 [769]~P29(x7691)+~P6(x7692,x7694,x7691)+P6(f46(f46(f3(x7691),x7692),x7693),f46(f46(f3(x7691),x7694),x7693),x7691)
% 0.94/1.24 [770]~P3(x7701)+~P6(x7703,x7704,x7701)+P6(f46(f46(f3(x7701),x7702),x7703),f46(f46(f3(x7701),x7702),x7704),x7701)
% 0.94/1.24 [771]~P29(x7711)+~P6(x7713,x7714,x7711)+P6(f46(f46(f3(x7711),x7712),x7713),f46(f46(f3(x7711),x7712),x7714),x7711)
% 0.94/1.24 [830]~P12(x8302,x8304,a1)+~P12(x8301,x8303,a1)+P12(f46(f46(f3(a1),x8301),x8302),f46(f46(f3(a1),x8303),x8304),a1)
% 0.94/1.24 [831]~P6(x8312,x8314,a1)+~P6(x8311,x8313,a1)+P6(f46(f46(f3(a1),x8311),x8312),f46(f46(f3(a1),x8313),x8314),a1)
% 0.94/1.24 [895]~P3(x8953)+P12(x8951,x8952,x8953)+~P12(f46(f46(f3(x8953),x8954),x8951),f46(f46(f3(x8953),x8954),x8952),x8953)
% 0.94/1.24 [896]~P3(x8963)+P12(x8961,x8962,x8963)+~P12(f46(f46(f3(x8963),x8961),x8964),f46(f46(f3(x8963),x8962),x8964),x8963)
% 0.94/1.24 [897]~P3(x8973)+P6(x8971,x8972,x8973)+~P6(f46(f46(f3(x8973),x8974),x8971),f46(f46(f3(x8973),x8974),x8972),x8973)
% 0.94/1.24 [898]~P3(x8983)+P6(x8981,x8982,x8983)+~P6(f46(f46(f3(x8983),x8981),x8984),f46(f46(f3(x8983),x8982),x8984),x8983)
% 0.94/1.24 [924]~P9(x9242)+E(x9241,f2(x9242))+E(f5(f46(f46(f3(x9242),x9243),f9(x9244,x9241,x9242)),x9241,x9242),f46(f46(f3(x9242),x9244),f5(x9243,x9241,x9242)))
% 0.94/1.24 [925]~P9(x9252)+E(x9251,f2(x9252))+E(f5(f46(f46(f3(x9252),x9253),f9(x9251,x9254,x9252)),x9251,x9252),f46(f46(f3(x9252),x9254),f5(x9253,x9251,x9252)))
% 0.94/1.24 [569]E(x5691,x5692)+~E(f22(x5693,x5691,x5694),f22(x5695,x5692,x5694))+E(x5693,f2(a1))
% 0.94/1.24 [746]~P10(x7461,x7463,x7465)+~P10(x7461,x7462,f33(x7465,x7464))+P10(x7461,f46(f46(a13,x7462),x7463),x7464)
% 0.94/1.24 [1044]E(x10441,x10442)+~P10(x10443,f23(a13,f11(x10444),x10445,a45,a45),x10441)+~P10(x10443,f23(a13,f11(x10444),x10445,a45,a45),x10442)
% 0.94/1.24 [818]~P16(x8181)+E(f46(f46(f3(x8181),x8182),x8183),x8184)+~E(f46(f46(f3(x8181),x8182),f46(f46(f3(x8181),x8185),x8183)),f46(f46(f3(x8181),x8185),x8184))
% 0.94/1.24 [996]~P12(x9963,x9962,a1)+~E(f46(f46(f3(a1),f9(x9963,x9964,a1)),x9961),f46(f46(f3(a1),f9(x9962,x9964,a1)),x9965))+E(x9961,f46(f46(f3(a1),f9(f4(x9962,x9963,a1),x9964,a1)),x9965))
% 0.94/1.24 [997]~P12(x9972,x9971,a1)+~E(f46(f46(f3(a1),f9(x9971,x9973,a1)),x9974),f46(f46(f3(a1),f9(x9972,x9973,a1)),x9975))+E(f46(f46(f3(a1),f9(f4(x9971,x9972,a1),x9973,a1)),x9974),x9975)
% 0.94/1.24 [1014]~P12(x10143,x10142,a1)+~P12(f46(f46(f3(a1),f9(x10143,x10144,a1)),x10141),f46(f46(f3(a1),f9(x10142,x10144,a1)),x10145),a1)+P12(x10141,f46(f46(f3(a1),f9(f4(x10142,x10143,a1),x10144,a1)),x10145),a1)
% 0.94/1.24 [1015]~P12(x10153,x10152,a1)+~P6(f46(f46(f3(a1),f9(x10153,x10154,a1)),x10151),f46(f46(f3(a1),f9(x10152,x10154,a1)),x10155),a1)+P6(x10151,f46(f46(f3(a1),f9(f4(x10152,x10153,a1),x10154,a1)),x10155),a1)
% 0.94/1.24 [1016]~P12(x10162,x10161,a1)+~P12(f46(f46(f3(a1),f9(x10161,x10163,a1)),x10164),f46(f46(f3(a1),f9(x10162,x10163,a1)),x10165),a1)+P12(f46(f46(f3(a1),f9(f4(x10161,x10162,a1),x10163,a1)),x10164),x10165,a1)
% 0.94/1.24 [1017]~P12(x10172,x10171,a1)+~P6(f46(f46(f3(a1),f9(x10171,x10173,a1)),x10174),f46(f46(f3(a1),f9(x10172,x10173,a1)),x10175),a1)+P6(f46(f46(f3(a1),f9(f4(x10171,x10172,a1),x10173,a1)),x10174),x10175,a1)
% 0.94/1.24 [1022]~P12(x10221,x10224,a1)+P12(f46(f46(f3(a1),f9(x10221,x10222,a1)),x10223),f46(f46(f3(a1),f9(x10224,x10222,a1)),x10225),a1)+~P12(x10223,f46(f46(f3(a1),f9(f4(x10224,x10221,a1),x10222,a1)),x10225),a1)
% 0.94/1.24 [1023]~P12(x10231,x10234,a1)+P6(f46(f46(f3(a1),f9(x10231,x10232,a1)),x10233),f46(f46(f3(a1),f9(x10234,x10232,a1)),x10235),a1)+~P6(x10233,f46(f46(f3(a1),f9(f4(x10234,x10231,a1),x10232,a1)),x10235),a1)
% 0.94/1.24 [1024]~P12(x10244,x10241,a1)+P12(f46(f46(f3(a1),f9(x10241,x10242,a1)),x10243),f46(f46(f3(a1),f9(x10244,x10242,a1)),x10245),a1)+~P12(f46(f46(f3(a1),f9(f4(x10241,x10244,a1),x10242,a1)),x10243),x10245,a1)
% 0.94/1.24 [1025]~P12(x10254,x10251,a1)+P6(f46(f46(f3(a1),f9(x10251,x10252,a1)),x10253),f46(f46(f3(a1),f9(x10254,x10252,a1)),x10255),a1)+~P6(f46(f46(f3(a1),f9(f4(x10251,x10254,a1),x10252,a1)),x10253),x10255,a1)
% 0.94/1.24 [983]~P10(x9831,x9833,x9836)+P10(x9831,f21(x9832,x9833,x9834),x9835)+~P10(f35(x9831,x9834,x9836,a48),x9832,x9835)
% 0.94/1.24 [994]~P55(x9942)+~E(f46(f46(f3(x9942),f9(x9944,x9945,x9942)),x9941),f46(f46(f3(x9942),f9(x9943,x9945,x9942)),x9946))+E(x9941,f46(f46(f3(x9942),f9(f4(x9943,x9944,x9942),x9945,x9942)),x9946))
% 0.94/1.24 [995]~P55(x9951)+~E(f46(f46(f3(x9951),f9(x9952,x9954,x9951)),x9955),f46(f46(f3(x9951),f9(x9953,x9954,x9951)),x9956))+E(f46(f46(f3(x9951),f9(f4(x9952,x9953,x9951),x9954,x9951)),x9955),x9956)
% 0.94/1.24 [1018]~P51(x10182)+~P12(f46(f46(f3(x10182),f9(x10184,x10185,x10182)),x10181),f46(f46(f3(x10182),f9(x10183,x10185,x10182)),x10186),x10182)+P12(x10181,f46(f46(f3(x10182),f9(f4(x10183,x10184,x10182),x10185,x10182)),x10186),x10182)
% 0.94/1.24 [1019]~P51(x10192)+~P6(f46(f46(f3(x10192),f9(x10194,x10195,x10192)),x10191),f46(f46(f3(x10192),f9(x10193,x10195,x10192)),x10196),x10192)+P6(x10191,f46(f46(f3(x10192),f9(f4(x10193,x10194,x10192),x10195,x10192)),x10196),x10192)
% 0.94/1.24 [1020]~P51(x10201)+~P12(f46(f46(f3(x10201),f9(x10202,x10204,x10201)),x10205),f46(f46(f3(x10201),f9(x10203,x10204,x10201)),x10206),x10201)+P12(f46(f46(f3(x10201),f9(f4(x10202,x10203,x10201),x10204,x10201)),x10205),x10206,x10201)
% 0.94/1.24 [1021]~P51(x10211)+~P6(f46(f46(f3(x10211),f9(x10212,x10214,x10211)),x10215),f46(f46(f3(x10211),f9(x10213,x10214,x10211)),x10216),x10211)+P6(f46(f46(f3(x10211),f9(f4(x10212,x10213,x10211),x10214,x10211)),x10215),x10216,x10211)
% 0.94/1.24 [1026]~P51(x10261)+P12(f46(f46(f3(x10261),f9(x10262,x10263,x10261)),x10264),f46(f46(f3(x10261),f9(x10265,x10263,x10261)),x10266),x10261)+~P12(x10264,f46(f46(f3(x10261),f9(f4(x10265,x10262,x10261),x10263,x10261)),x10266),x10261)
% 0.94/1.24 [1027]~P51(x10271)+P6(f46(f46(f3(x10271),f9(x10272,x10273,x10271)),x10274),f46(f46(f3(x10271),f9(x10275,x10273,x10271)),x10276),x10271)+~P6(x10274,f46(f46(f3(x10271),f9(f4(x10275,x10272,x10271),x10273,x10271)),x10276),x10271)
% 0.94/1.24 [1028]~P51(x10281)+P12(f46(f46(f3(x10281),f9(x10282,x10283,x10281)),x10284),f46(f46(f3(x10281),f9(x10285,x10283,x10281)),x10286),x10281)+~P12(f46(f46(f3(x10281),f9(f4(x10282,x10285,x10281),x10283,x10281)),x10284),x10286,x10281)
% 0.94/1.24 [1029]~P51(x10291)+P6(f46(f46(f3(x10291),f9(x10292,x10293,x10291)),x10294),f46(f46(f3(x10291),f9(x10295,x10293,x10291)),x10296),x10291)+~P6(f46(f46(f3(x10291),f9(f4(x10292,x10295,x10291),x10293,x10291)),x10294),x10296,x10291)
% 0.94/1.24 [419]~P33(x4192)+~P47(x4192)+E(x4191,f2(a1))+E(f32(f2(x4192),x4191,x4192),f2(x4192))
% 0.94/1.24 [481]P6(x4811,x4812,x4813)+~P2(x4813)+E(x4811,x4812)+P6(x4812,x4811,x4813)
% 0.94/1.24 [482]P6(x4821,x4822,x4823)+~P43(x4823)+E(x4821,x4822)+P6(x4822,x4821,x4823)
% 0.94/1.24 [534]~P2(x5343)+~P12(x5341,x5342,x5343)+E(x5341,x5342)+P6(x5341,x5342,x5343)
% 0.94/1.24 [540]~P35(x5403)+~P12(x5401,x5402,x5403)+E(x5401,x5402)+P6(x5401,x5402,x5403)
% 0.94/1.24 [586]~P12(x5862,x5861,x5863)+~P12(x5861,x5862,x5863)+E(x5861,x5862)+~P35(x5863)
% 0.94/1.24 [599]P6(x5992,x5991,x5993)+~P34(x5993)+~P12(x5992,x5991,x5993)+P12(x5991,x5992,x5993)
% 0.94/1.24 [453]~P38(x4533)+~P14(x4533)+E(x4531,x4532)+~E(f4(x4531,x4532,x4533),f2(x4533))
% 0.94/1.24 [457]~P41(x4572)+~E(f9(x4573,x4571,x4572),f2(x4572))+E(x4571,f2(x4572))+E(x4573,f2(x4572))
% 0.94/1.24 [458]~P52(x4582)+~E(f9(x4583,x4581,x4582),f2(x4582))+E(x4581,f2(x4582))+E(x4583,f2(x4582))
% 0.94/1.24 [742]E(x7421,x7422)+~P12(x7423,x7422,a1)+~P12(x7423,x7421,a1)+~E(f4(x7421,x7423,a1),f4(x7422,x7423,a1))
% 0.94/1.24 [787]~P51(x7871)+~P12(x7873,f2(x7871),x7871)+~P12(x7872,f2(x7871),x7871)+P12(f2(x7871),f9(x7872,x7873,x7871),x7871)
% 0.94/1.24 [788]~P44(x7881)+~P12(x7883,f2(x7881),x7881)+~P12(x7882,f2(x7881),x7881)+P12(f2(x7881),f9(x7882,x7883,x7881),x7881)
% 0.94/1.24 [789]~P44(x7891)+~P6(x7893,f2(x7891),x7891)+~P6(x7892,f2(x7891),x7891)+P6(f2(x7891),f9(x7892,x7893,x7891),x7891)
% 0.94/1.24 [790]~P51(x7901)+~P12(f2(x7901),x7903,x7901)+~P12(f2(x7901),x7902,x7901)+P12(f2(x7901),f9(x7902,x7903,x7901),x7901)
% 0.94/1.24 [791]~P44(x7911)+~P12(f2(x7911),x7913,x7911)+~P12(f2(x7911),x7912,x7911)+P12(f2(x7911),f9(x7912,x7913,x7911),x7911)
% 0.94/1.24 [792]~P49(x7921)+~P12(f2(x7921),x7923,x7921)+~P12(f2(x7921),x7922,x7921)+P12(f2(x7921),f9(x7922,x7923,x7921),x7921)
% 0.94/1.24 [793]~P45(x7931)+~P6(f2(x7931),x7933,x7931)+~P6(f2(x7931),x7932,x7931)+P6(f2(x7931),f9(x7932,x7933,x7931),x7931)
% 0.94/1.24 [794]~P44(x7943)+~P12(x7942,f2(x7943),x7943)+~P12(f2(x7943),x7941,x7943)+P12(f9(x7941,x7942,x7943),f2(x7943),x7943)
% 0.94/1.24 [795]~P44(x7953)+~P12(x7951,f2(x7953),x7953)+~P12(f2(x7953),x7952,x7953)+P12(f9(x7951,x7952,x7953),f2(x7953),x7953)
% 0.94/1.24 [797]~P49(x7973)+~P12(x7972,f2(x7973),x7973)+~P12(f2(x7973),x7971,x7973)+P12(f9(x7971,x7972,x7973),f2(x7973),x7973)
% 0.94/1.24 [800]~P49(x8003)+~P12(x8001,f2(x8003),x8003)+~P12(f2(x8003),x8002,x8003)+P12(f9(x8001,x8002,x8003),f2(x8003),x8003)
% 0.94/1.24 [801]~P45(x8013)+~P6(x8012,f2(x8013),x8013)+~P6(f2(x8013),x8011,x8013)+P6(f9(x8011,x8012,x8013),f2(x8013),x8013)
% 0.94/1.24 [803]~P45(x8033)+~P6(x8031,f2(x8033),x8033)+~P6(f2(x8033),x8032,x8033)+P6(f9(x8031,x8032,x8033),f2(x8033),x8033)
% 0.94/1.24 [822]~P44(x8222)+~P12(f9(x8223,x8221,x8222),f2(x8222),x8222)+P12(x8221,f2(x8222),x8222)+P12(x8223,f2(x8222),x8222)
% 0.94/1.24 [823]~P44(x8232)+~P12(f2(x8232),f9(x8233,x8231,x8232),x8232)+P12(x8231,f2(x8232),x8232)+P12(f2(x8232),x8233,x8232)
% 0.94/1.24 [824]~P44(x8242)+~P12(f2(x8242),f9(x8241,x8243,x8242),x8242)+P12(x8241,f2(x8242),x8242)+P12(f2(x8242),x8243,x8242)
% 0.94/1.24 [825]~P44(x8252)+~P12(f2(x8252),f9(x8253,x8251,x8252),x8252)+P12(x8251,f2(x8252),x8252)+P12(f2(x8252),x8251,x8252)
% 0.94/1.24 [826]~P44(x8262)+~P12(f2(x8262),f9(x8261,x8263,x8262),x8262)+P12(x8261,f2(x8262),x8262)+P12(f2(x8262),x8261,x8262)
% 0.94/1.24 [827]~P44(x8272)+~P12(f9(x8273,x8271,x8272),f2(x8272),x8272)+P12(x8271,f2(x8272),x8272)+P12(f2(x8272),x8271,x8272)
% 0.94/1.24 [828]~P44(x8282)+~P12(f9(x8281,x8283,x8282),f2(x8282),x8282)+P12(x8281,f2(x8282),x8282)+P12(f2(x8282),x8281,x8282)
% 0.94/1.24 [829]~P44(x8291)+~P12(f9(x8292,x8293,x8291),f2(x8291),x8291)+P12(f2(x8291),x8292,x8291)+P12(f2(x8291),x8293,x8291)
% 0.94/1.24 [843]~P45(x8431)+~P6(f2(x8431),f9(x8433,x8432,x8431),x8431)+P6(f2(x8431),x8432,x8431)+~P6(f2(x8431),x8433,x8431)
% 0.94/1.24 [844]~P45(x8441)+~P6(f2(x8441),f9(x8442,x8443,x8441),x8441)+P6(f2(x8441),x8442,x8441)+~P6(f2(x8441),x8443,x8441)
% 0.94/1.24 [953]~P12(x9533,x9531,a1)+P12(x9531,x9532,a1)+~P12(x9533,x9532,a1)+~P12(f4(x9531,x9533,a1),f4(x9532,x9533,a1),a1)
% 0.94/1.24 [954]~P12(x9543,x9541,a1)+P6(x9541,x9542,a1)+~P12(x9543,x9542,a1)+~P6(f4(x9541,x9543,a1),f4(x9542,x9543,a1),a1)
% 0.94/1.24 [602]~P6(x6022,f7(x6021),a1)+P58(f46(x6021,x6022))+P58(f46(x6021,x6023))+~P58(f46(x6021,f2(a1)))
% 0.94/1.24 [662]~P6(x6623,f8(x6621,x6622),a1)+~P58(f46(x6621,x6622))+~P58(f46(x6621,x6623))+P58(f46(x6621,f2(a1)))
% 0.94/1.24 [963]E(x9631,f5(x9632,x9633,a1))+~P12(f9(x9633,x9631,a1),x9632,a1)+~P6(f2(a1),x9633,a1)+~P6(x9632,f9(x9633,f31(x9631),a1),a1)
% 0.94/1.24 [448]~P38(x4482)+~P14(x4482)+E(x4481,f2(x4482))+~E(f46(f46(f3(x4482),x4483),x4481),x4483)
% 0.94/1.24 [776]~P28(x7761)+~P12(f2(x7761),x7763,x7761)+~P12(f2(x7761),x7762,x7761)+P12(f2(x7761),f46(f46(f3(x7761),x7762),x7763),x7761)
% 0.94/1.24 [777]~P28(x7771)+~P12(f2(x7771),x7773,x7771)+~P6(f2(x7771),x7772,x7771)+P6(f2(x7771),f46(f46(f3(x7771),x7772),x7773),x7771)
% 0.94/1.24 [778]~P28(x7781)+~P12(f2(x7781),x7782,x7781)+~P6(f2(x7781),x7783,x7781)+P6(f2(x7781),f46(f46(f3(x7781),x7782),x7783),x7781)
% 0.94/1.24 [779]~P28(x7791)+~P6(f2(x7791),x7793,x7791)+~P6(f2(x7791),x7792,x7791)+P6(f2(x7791),f46(f46(f3(x7791),x7792),x7793),x7791)
% 0.94/1.24 [780]~P28(x7801)+~P12(x7803,f2(x7801),x7801)+~P12(x7802,f2(x7801),x7801)+P12(f46(f46(f3(x7801),x7802),x7803),f2(x7801),x7801)
% 0.94/1.24 [781]~P28(x7811)+~P12(x7813,f2(x7811),x7811)+~P6(x7812,f2(x7811),x7811)+P6(f46(f46(f3(x7811),x7812),x7813),f2(x7811),x7811)
% 0.94/1.24 [782]~P28(x7821)+~P12(x7822,f2(x7821),x7821)+~P6(x7823,f2(x7821),x7821)+P6(f46(f46(f3(x7821),x7822),x7823),f2(x7821),x7821)
% 0.94/1.24 [783]~P28(x7831)+~P6(x7833,f2(x7831),x7831)+~P6(x7832,f2(x7831),x7831)+P6(f46(f46(f3(x7831),x7832),x7833),f2(x7831),x7831)
% 0.94/1.24 [627]~P34(x6273)+~P12(x6271,x6274,x6273)+P12(x6271,x6272,x6273)+~P12(x6274,x6272,x6273)
% 0.94/1.24 [628]~P35(x6283)+~P12(x6281,x6284,x6283)+P12(x6281,x6282,x6283)+~P12(x6284,x6282,x6283)
% 0.94/1.24 [629]~P34(x6293)+~P6(x6291,x6294,x6293)+P6(x6291,x6292,x6293)+~P12(x6294,x6292,x6293)
% 0.94/1.24 [630]~P34(x6303)+~P6(x6304,x6302,x6303)+P6(x6301,x6302,x6303)+~P12(x6301,x6304,x6303)
% 0.94/1.24 [631]~P34(x6313)+~P6(x6311,x6314,x6313)+P6(x6311,x6312,x6313)+~P6(x6314,x6312,x6313)
% 0.94/1.24 [632]~P35(x6323)+~P6(x6321,x6324,x6323)+P6(x6321,x6322,x6323)+~P12(x6324,x6322,x6323)
% 0.94/1.24 [633]~P35(x6333)+~P6(x6334,x6332,x6333)+P6(x6331,x6332,x6333)+~P12(x6331,x6334,x6333)
% 0.94/1.24 [634]~P35(x6343)+~P6(x6341,x6344,x6343)+P6(x6341,x6342,x6343)+~P6(x6344,x6342,x6343)
% 0.94/1.24 [749]~P2(x7494)+~P12(x7491,x7493,x7494)+~P12(x7491,x7492,x7494)+P12(x7491,f30(x7492,x7493,x7494),x7494)
% 0.94/1.24 [750]~P2(x7504)+~P6(x7501,x7503,x7504)+~P6(x7501,x7502,x7504)+P6(x7501,f30(x7502,x7503,x7504),x7504)
% 0.94/1.24 [753]~P2(x7533)+~P12(x7532,x7534,x7533)+~P12(x7531,x7534,x7533)+P12(f29(x7531,x7532,x7533),x7534,x7533)
% 0.94/1.24 [754]~P2(x7543)+~P6(x7542,x7544,x7543)+~P6(x7541,x7544,x7543)+P6(f29(x7541,x7542,x7543),x7544,x7543)
% 0.94/1.24 [807]~P2(x8073)+P12(x8071,x8072,x8073)+P12(x8071,x8074,x8073)+~P12(x8071,f29(x8072,x8074,x8073),x8073)
% 0.94/1.24 [808]~P2(x8083)+P6(x8081,x8082,x8083)+P6(x8081,x8084,x8083)+~P6(x8081,f29(x8082,x8084,x8083),x8083)
% 0.94/1.24 [809]~P2(x8093)+P12(x8091,x8092,x8093)+P12(x8094,x8092,x8093)+~P12(f30(x8091,x8094,x8093),x8092,x8093)
% 0.94/1.24 [810]~P2(x8103)+P6(x8101,x8102,x8103)+P6(x8104,x8102,x8103)+~P6(f30(x8101,x8104,x8103),x8102,x8103)
% 0.94/1.24 [870]~P51(x8703)+~P12(x8704,x8701,x8703)+~P12(x8702,f2(x8703),x8703)+P12(f9(x8701,x8702,x8703),f9(x8704,x8702,x8703),x8703)
% 0.94/1.24 [871]~P51(x8713)+~P12(x8714,x8712,x8713)+~P12(x8711,f2(x8713),x8713)+P12(f9(x8711,x8712,x8713),f9(x8711,x8714,x8713),x8713)
% 0.94/1.24 [872]~P44(x8723)+~P12(x8724,x8722,x8723)+~P6(x8721,f2(x8723),x8723)+P12(f9(x8721,x8722,x8723),f9(x8721,x8724,x8723),x8723)
% 0.94/1.24 [874]~P44(x8743)+~P6(x8744,x8741,x8743)+~P6(x8742,f2(x8743),x8743)+P6(f9(x8741,x8742,x8743),f9(x8744,x8742,x8743),x8743)
% 0.94/1.24 [877]~P44(x8773)+~P6(x8774,x8772,x8773)+~P6(x8771,f2(x8773),x8773)+P6(f9(x8771,x8772,x8773),f9(x8771,x8774,x8773),x8773)
% 0.94/1.24 [878]~P37(x8783)+~P12(x8781,x8784,x8783)+~P12(f2(x8783),x8782,x8783)+P12(f9(x8781,x8782,x8783),f9(x8784,x8782,x8783),x8783)
% 0.94/1.24 [879]~P44(x8793)+~P12(x8792,x8794,x8793)+~P6(f2(x8793),x8791,x8793)+P12(f9(x8791,x8792,x8793),f9(x8791,x8794,x8793),x8793)
% 0.94/1.24 [880]~P37(x8803)+~P12(x8802,x8804,x8803)+~P12(f2(x8803),x8801,x8803)+P12(f9(x8801,x8802,x8803),f9(x8801,x8804,x8803),x8803)
% 0.94/1.24 [881]~P39(x8813)+~P12(x8812,x8814,x8813)+~P12(f2(x8813),x8811,x8813)+P12(f9(x8811,x8812,x8813),f9(x8811,x8814,x8813),x8813)
% 0.94/1.24 [882]~P1(x8823)+~P12(x8821,x8824,x8823)+~P12(f2(x8823),x8821,x8823)+P12(f32(x8821,x8822,x8823),f32(x8824,x8822,x8823),x8823)
% 0.94/1.24 [883]~P45(x8833)+~P6(x8831,x8834,x8833)+~P6(f2(x8833),x8832,x8833)+P6(f9(x8831,x8832,x8833),f9(x8834,x8832,x8833),x8833)
% 0.94/1.24 [884]~P44(x8843)+~P6(x8841,x8844,x8843)+~P6(f2(x8843),x8842,x8843)+P6(f9(x8841,x8842,x8843),f9(x8844,x8842,x8843),x8843)
% 0.94/1.24 [885]~P45(x8853)+~P6(x8852,x8854,x8853)+~P6(f2(x8853),x8851,x8853)+P6(f9(x8851,x8852,x8853),f9(x8851,x8854,x8853),x8853)
% 0.94/1.24 [887]~P44(x8873)+~P6(x8872,x8874,x8873)+~P6(f2(x8873),x8871,x8873)+P6(f9(x8871,x8872,x8873),f9(x8871,x8874,x8873),x8873)
% 0.94/1.24 [888]~P40(x8883)+~P6(x8882,x8884,x8883)+~P6(f2(x8883),x8881,x8883)+P6(f9(x8881,x8882,x8883),f9(x8881,x8884,x8883),x8883)
% 0.94/1.24 [921]P6(x9212,x9211,x9213)+~P44(x9213)+P6(x9211,x9212,x9213)+~P6(f9(x9214,x9211,x9213),f9(x9214,x9212,x9213),x9213)
% 0.94/1.24 [922]P6(x9222,x9221,x9223)+~P44(x9223)+P6(x9221,x9222,x9223)+~P6(f9(x9221,x9224,x9223),f9(x9222,x9224,x9223),x9223)
% 0.94/1.24 [927]~P44(x9273)+P6(x9271,x9272,x9273)+~P6(f9(x9271,x9274,x9273),f9(x9272,x9274,x9273),x9273)+P6(x9274,f2(x9273),x9273)
% 0.94/1.24 [928]~P44(x9283)+P6(x9281,x9282,x9283)+~P6(f9(x9284,x9281,x9283),f9(x9284,x9282,x9283),x9283)+P6(x9284,f2(x9283),x9283)
% 0.94/1.24 [929]~P44(x9293)+P6(x9291,x9292,x9293)+~P6(f9(x9294,x9292,x9293),f9(x9294,x9291,x9293),x9293)+P6(f2(x9293),x9294,x9293)
% 0.94/1.24 [930]~P44(x9303)+P6(x9301,x9302,x9303)+~P6(f9(x9302,x9304,x9303),f9(x9301,x9304,x9303),x9303)+P6(f2(x9303),x9304,x9303)
% 0.94/1.24 [932]~P44(x9322)+~P6(f9(x9323,x9321,x9322),f9(x9324,x9321,x9322),x9322)+P6(x9321,f2(x9322),x9322)+P6(f2(x9322),x9321,x9322)
% 0.94/1.24 [933]~P44(x9332)+~P6(f9(x9331,x9333,x9332),f9(x9331,x9334,x9332),x9332)+P6(x9331,f2(x9332),x9332)+P6(f2(x9332),x9331,x9332)
% 0.94/1.24 [938]~P44(x9383)+P12(x9381,x9382,x9383)+~P12(f9(x9384,x9382,x9383),f9(x9384,x9381,x9383),x9383)+~P6(x9384,f2(x9383),x9383)
% 0.94/1.24 [939]~P44(x9393)+P6(x9391,x9392,x9393)+~P6(f9(x9394,x9392,x9393),f9(x9394,x9391,x9393),x9393)+~P6(x9394,f2(x9393),x9393)
% 0.94/1.24 [940]~P45(x9403)+P12(x9401,x9402,x9403)+~P12(f9(x9404,x9401,x9403),f9(x9404,x9402,x9403),x9403)+~P6(f2(x9403),x9404,x9403)
% 0.94/1.24 [941]~P45(x9413)+P12(x9411,x9412,x9413)+~P12(f9(x9411,x9414,x9413),f9(x9412,x9414,x9413),x9413)+~P6(f2(x9413),x9414,x9413)
% 0.94/1.24 [942]~P44(x9423)+P12(x9421,x9422,x9423)+~P12(f9(x9424,x9421,x9423),f9(x9424,x9422,x9423),x9423)+~P6(f2(x9423),x9424,x9423)
% 0.94/1.24 [943]~P1(x9433)+P6(x9431,x9432,x9433)+~P12(f2(x9433),x9432,x9433)+~P6(f32(x9431,x9434,x9433),f32(x9432,x9434,x9433),x9433)
% 0.94/1.24 [944]~P45(x9443)+P6(x9441,x9442,x9443)+~P6(f9(x9444,x9441,x9443),f9(x9444,x9442,x9443),x9443)+~P12(f2(x9443),x9444,x9443)
% 0.94/1.24 [945]~P45(x9453)+P6(x9451,x9452,x9453)+~P6(f9(x9451,x9454,x9453),f9(x9452,x9454,x9453),x9453)+~P12(f2(x9453),x9454,x9453)
% 0.94/1.24 [946]~P44(x9463)+P6(x9461,x9462,x9463)+~P6(f9(x9464,x9461,x9463),f9(x9464,x9462,x9463),x9463)+~P6(f2(x9463),x9464,x9463)
% 0.94/1.24 [947]~P46(x9473)+P6(x9471,x9472,x9473)+~P6(f9(x9474,x9471,x9473),f9(x9474,x9472,x9473),x9473)+~P12(f2(x9473),x9474,x9473)
% 0.94/1.24 [948]~P46(x9483)+P6(x9481,x9482,x9483)+~P6(f9(x9481,x9484,x9483),f9(x9482,x9484,x9483),x9483)+~P12(f2(x9483),x9484,x9483)
% 0.94/1.24 [952]~P1(x9523)+P12(x9521,x9522,x9523)+~P12(f2(x9523),x9522,x9523)+~P12(f32(x9521,f31(x9524),x9523),f32(x9522,f31(x9524),x9523),x9523)
% 0.94/1.24 [971]~P12(f9(x9713,x9714,a1),x9712,a1)+~P58(f46(x9711,x9714))+~P6(x9712,f9(x9713,f31(x9714),a1),a1)+P58(f46(x9711,f5(x9712,x9713,a1)))
% 0.94/1.24 [583]~P38(x5833)+~P14(x5833)+E(x5831,x5832)+~E(f46(f46(f3(x5833),x5834),x5831),f46(f46(f3(x5833),x5834),x5832))
% 0.94/1.24 [763]~P1(x7632)+~P6(x7631,x7634,x7632)+~P6(f2(x7632),x7633,x7632)+P6(x7631,f46(f46(f3(x7632),x7633),x7634),x7632)
% 0.94/1.24 [1030]~P6(x10304,x10301,a1)+E(x10301,f2(a1))+P58(f46(x10302,x10303))+~P58(f46(x10302,f5(f46(f46(f3(a1),f9(x10301,x10303,a1)),x10304),x10301,a1)))
% 0.94/1.24 [712]~P27(x7123)+~P12(x7125,x7124,x7123)+P12(x7121,x7122,x7123)+~E(f4(x7124,x7125,x7123),f4(x7122,x7121,x7123))
% 0.94/1.24 [713]~P27(x7133)+~P12(x7135,x7134,x7133)+P12(x7131,x7132,x7133)+~E(f4(x7132,x7131,x7133),f4(x7134,x7135,x7133))
% 0.94/1.24 [714]~P27(x7143)+~P6(x7144,x7145,x7143)+P6(x7141,x7142,x7143)+~E(f4(x7144,x7145,x7143),f4(x7141,x7142,x7143))
% 0.94/1.24 [715]~P27(x7153)+~P6(x7154,x7155,x7153)+P6(x7151,x7152,x7153)+~E(f4(x7151,x7152,x7153),f4(x7154,x7155,x7153))
% 0.94/1.24 [864]~P26(x8641)+~P12(x8643,x8645,x8641)+~P12(x8642,x8644,x8641)+P12(f46(f46(f3(x8641),x8642),x8643),f46(f46(f3(x8641),x8644),x8645),x8641)
% 0.94/1.24 [865]~P29(x8651)+~P12(x8653,x8655,x8651)+~P6(x8652,x8654,x8651)+P6(f46(f46(f3(x8651),x8652),x8653),f46(f46(f3(x8651),x8654),x8655),x8651)
% 0.94/1.24 [866]~P29(x8661)+~P12(x8662,x8664,x8661)+~P6(x8663,x8665,x8661)+P6(f46(f46(f3(x8661),x8662),x8663),f46(f46(f3(x8661),x8664),x8665),x8661)
% 0.94/1.24 [867]~P29(x8671)+~P6(x8673,x8675,x8671)+~P6(x8672,x8674,x8671)+P6(f46(f46(f3(x8671),x8672),x8673),f46(f46(f3(x8671),x8674),x8675),x8671)
% 0.94/1.24 [905]~P27(x9052)+~P12(x9055,x9054,x9052)+~P12(x9051,f46(f46(f3(x9052),x9053),x9055),x9052)+P12(x9051,f46(f46(f3(x9052),x9053),x9054),x9052)
% 0.94/1.24 [484]~P33(x4842)+~P57(x4842)+~P41(x4842)+~P42(x4842)+~E(f32(x4841,f2(a1),x4842),f2(x4842))
% 0.94/1.24 [680]~P28(x6802)+~P12(f2(x6802),x6801,x6802)+~P12(f2(x6802),x6803,x6802)+E(x6801,f2(x6802))+~E(f46(f46(f3(x6802),x6803),x6801),f2(x6802))
% 0.94/1.24 [681]~P28(x6812)+~P12(f2(x6812),x6813,x6812)+~P12(f2(x6812),x6811,x6812)+E(x6811,f2(x6812))+~E(f46(f46(f3(x6812),x6811),x6813),f2(x6812))
% 0.94/1.24 [931]~P1(x9313)+~P6(x9311,x9314,x9313)+~P12(f2(x9313),x9311,x9313)+P6(f32(x9311,x9312,x9313),f32(x9314,x9312,x9313),x9313)+~P6(f2(a1),x9312,a1)
% 0.94/1.24 [821]~P1(x8214)+E(x8211,x8212)+~P12(f2(x8214),x8212,x8214)+~P12(f2(x8214),x8211,x8214)+~E(f32(x8211,f31(x8213),x8214),f32(x8212,f31(x8213),x8214))
% 0.94/1.24 [772]~P3(x7722)+~P4(x7722)+~P12(x7721,x7724,x7722)+~P12(f2(x7722),x7723,x7722)+P12(x7721,f46(f46(f3(x7722),x7723),x7724),x7722)
% 0.94/1.24 [773]~P3(x7732)+~P4(x7732)+~P12(x7731,x7733,x7732)+~P12(f2(x7732),x7734,x7732)+P12(x7731,f46(f46(f3(x7732),x7733),x7734),x7732)
% 0.94/1.24 [774]~P3(x7742)+~P4(x7742)+~P12(x7741,x7744,x7742)+~P6(f2(x7742),x7743,x7742)+P6(x7741,f46(f46(f3(x7742),x7743),x7744),x7742)
% 0.94/1.24 [775]~P3(x7752)+~P4(x7752)+~P6(x7751,x7754,x7752)+~P12(f2(x7752),x7753,x7752)+P6(x7751,f46(f46(f3(x7752),x7753),x7754),x7752)
% 0.94/1.24 [914]~P38(x9144)+~P14(x9144)+E(x9141,x9142)+E(x9143,f2(x9144))+~E(f46(f46(f3(x9144),x9145),f9(x9143,x9141,x9144)),f46(f46(f3(x9144),x9145),f9(x9143,x9142,x9144)))
% 0.94/1.24 [987]~P38(x9875)+~P14(x9875)+E(x9871,x9872)+E(x9873,x9874)+~E(f46(f46(f3(x9875),f9(x9873,x9871,x9875)),f9(x9874,x9872,x9875)),f46(f46(f3(x9875),f9(x9873,x9872,x9875)),f9(x9874,x9871,x9875)))
% 0.94/1.25 [982]~P5(x9822)+~P5(x9821)+~P10(x9824,x9822,x9825)+~P10(f35(x9824,x9823,x9825,a48),x9821,x9826)+P5(f21(x9821,x9822,x9823))
% 0.94/1.25 [439]~P33(x4392)+~P57(x4392)+~P41(x4392)+~P42(x4392)+E(x4391,f2(a1))+E(f32(f2(x4392),x4391,x4392),f2(x4392))
% 0.94/1.25 [485]~P33(x4852)+~P57(x4852)+~P41(x4852)+~P42(x4852)+~E(f32(x4851,x4853,x4852),f2(x4852))+E(x4851,f2(x4852))
% 0.94/1.25 [889]~P1(x8894)+E(x8891,x8892)+~P12(f2(x8894),x8892,x8894)+~P12(f2(x8894),x8891,x8894)+~E(f32(x8891,x8893,x8894),f32(x8892,x8893,x8894))+~P6(f2(a1),x8893,a1)
% 0.94/1.25 [955]~P50(x9553)+~P12(x9552,x9555,x9553)+~P12(x9551,x9554,x9553)+~P12(f2(x9553),x9554,x9553)+~P12(f2(x9553),x9552,x9553)+P12(f9(x9551,x9552,x9553),f9(x9554,x9555,x9553),x9553)
% 0.94/1.25 [956]~P50(x9563)+~P12(x9562,x9565,x9563)+~P12(x9561,x9564,x9563)+~P12(f2(x9563),x9562,x9563)+~P12(f2(x9563),x9561,x9563)+P12(f9(x9561,x9562,x9563),f9(x9564,x9565,x9563),x9563)
% 0.94/1.25 [957]~P45(x9573)+~P12(x9572,x9575,x9573)+~P6(x9571,x9574,x9573)+~P12(f2(x9573),x9571,x9573)+~P6(f2(x9573),x9572,x9573)+P6(f9(x9571,x9572,x9573),f9(x9574,x9575,x9573),x9573)
% 0.94/1.25 [958]~P45(x9583)+~P12(x9581,x9584,x9583)+~P6(x9582,x9585,x9583)+~P12(f2(x9583),x9582,x9583)+~P6(f2(x9583),x9581,x9583)+P6(f9(x9581,x9582,x9583),f9(x9584,x9585,x9583),x9583)
% 0.94/1.25 [959]~P45(x9593)+~P6(x9592,x9595,x9593)+~P6(x9591,x9594,x9593)+~P12(f2(x9593),x9592,x9593)+~P12(f2(x9593),x9591,x9593)+P6(f9(x9591,x9592,x9593),f9(x9594,x9595,x9593),x9593)
% 0.94/1.25 [960]~P45(x9603)+~P6(x9602,x9605,x9603)+~P6(x9601,x9604,x9603)+~P12(f2(x9603),x9602,x9603)+~P6(f2(x9603),x9604,x9603)+P6(f9(x9601,x9602,x9603),f9(x9604,x9605,x9603),x9603)
% 0.94/1.25 %EqnAxiom
% 0.94/1.25 [1]E(x11,x11)
% 0.94/1.25 [2]E(x22,x21)+~E(x21,x22)
% 0.94/1.25 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.94/1.25 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.94/1.25 [5]~E(x51,x52)+E(f10(x51),f10(x52))
% 0.94/1.25 [6]~E(x61,x62)+E(f46(x61,x63),f46(x62,x63))
% 0.94/1.25 [7]~E(x71,x72)+E(f46(x73,x71),f46(x73,x72))
% 0.94/1.25 [8]~E(x81,x82)+E(f28(x81),f28(x82))
% 0.94/1.25 [9]~E(x91,x92)+E(f9(x91,x93,x94),f9(x92,x93,x94))
% 0.94/1.25 [10]~E(x101,x102)+E(f9(x103,x101,x104),f9(x103,x102,x104))
% 0.94/1.25 [11]~E(x111,x112)+E(f9(x113,x114,x111),f9(x113,x114,x112))
% 0.94/1.25 [12]~E(x121,x122)+E(f11(x121),f11(x122))
% 0.94/1.25 [13]~E(x131,x132)+E(f4(x131,x133,x134),f4(x132,x133,x134))
% 0.94/1.25 [14]~E(x141,x142)+E(f4(x143,x141,x144),f4(x143,x142,x144))
% 0.94/1.25 [15]~E(x151,x152)+E(f4(x153,x154,x151),f4(x153,x154,x152))
% 0.94/1.25 [16]~E(x161,x162)+E(f14(x161),f14(x162))
% 0.94/1.25 [17]~E(x171,x172)+E(f32(x171,x173,x174),f32(x172,x173,x174))
% 0.94/1.25 [18]~E(x181,x182)+E(f32(x183,x181,x184),f32(x183,x182,x184))
% 0.94/1.25 [19]~E(x191,x192)+E(f32(x193,x194,x191),f32(x193,x194,x192))
% 0.94/1.25 [20]~E(x201,x202)+E(f17(x201,x203),f17(x202,x203))
% 0.94/1.25 [21]~E(x211,x212)+E(f17(x213,x211),f17(x213,x212))
% 0.94/1.25 [22]~E(x221,x222)+E(f3(x221),f3(x222))
% 0.94/1.25 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 0.94/1.25 [24]~E(x241,x242)+E(f27(x241,x243),f27(x242,x243))
% 0.94/1.25 [25]~E(x251,x252)+E(f27(x253,x251),f27(x253,x252))
% 0.94/1.25 [26]~E(x261,x262)+E(f5(x261,x263,x264),f5(x262,x263,x264))
% 0.94/1.25 [27]~E(x271,x272)+E(f5(x273,x271,x274),f5(x273,x272,x274))
% 0.94/1.25 [28]~E(x281,x282)+E(f5(x283,x284,x281),f5(x283,x284,x282))
% 0.94/1.25 [29]~E(x291,x292)+E(f29(x291,x293,x294),f29(x292,x293,x294))
% 0.94/1.25 [30]~E(x301,x302)+E(f29(x303,x301,x304),f29(x303,x302,x304))
% 0.94/1.25 [31]~E(x311,x312)+E(f29(x313,x314,x311),f29(x313,x314,x312))
% 0.94/1.25 [32]~E(x321,x322)+E(f30(x321,x323,x324),f30(x322,x323,x324))
% 0.94/1.25 [33]~E(x331,x332)+E(f30(x333,x331,x334),f30(x333,x332,x334))
% 0.94/1.25 [34]~E(x341,x342)+E(f30(x343,x344,x341),f30(x343,x344,x342))
% 0.94/1.25 [35]~E(x351,x352)+E(f31(x351),f31(x352))
% 0.94/1.25 [36]~E(x361,x362)+E(f23(x361,x363,x364,x365,x366),f23(x362,x363,x364,x365,x366))
% 0.94/1.25 [37]~E(x371,x372)+E(f23(x373,x371,x374,x375,x376),f23(x373,x372,x374,x375,x376))
% 0.94/1.25 [38]~E(x381,x382)+E(f23(x383,x384,x381,x385,x386),f23(x383,x384,x382,x385,x386))
% 0.94/1.25 [39]~E(x391,x392)+E(f23(x393,x394,x395,x391,x396),f23(x393,x394,x395,x392,x396))
% 0.94/1.25 [40]~E(x401,x402)+E(f23(x403,x404,x405,x406,x401),f23(x403,x404,x405,x406,x402))
% 0.94/1.25 [41]~E(x411,x412)+E(f21(x411,x413,x414),f21(x412,x413,x414))
% 0.94/1.25 [42]~E(x421,x422)+E(f21(x423,x421,x424),f21(x423,x422,x424))
% 0.94/1.25 [43]~E(x431,x432)+E(f21(x433,x434,x431),f21(x433,x434,x432))
% 0.94/1.25 [44]~E(x441,x442)+E(f12(x441),f12(x442))
% 0.94/1.25 [45]~E(x451,x452)+E(f26(x451,x453),f26(x452,x453))
% 0.94/1.25 [46]~E(x461,x462)+E(f26(x463,x461),f26(x463,x462))
% 0.94/1.25 [47]~E(x471,x472)+E(f34(x471),f34(x472))
% 0.94/1.25 [48]~E(x481,x482)+E(f40(x481,x483,x484,x485),f40(x482,x483,x484,x485))
% 0.94/1.25 [49]~E(x491,x492)+E(f40(x493,x491,x494,x495),f40(x493,x492,x494,x495))
% 0.94/1.25 [50]~E(x501,x502)+E(f40(x503,x504,x501,x505),f40(x503,x504,x502,x505))
% 0.94/1.25 [51]~E(x511,x512)+E(f40(x513,x514,x515,x511),f40(x513,x514,x515,x512))
% 0.94/1.25 [52]~E(x521,x522)+E(f38(x521,x523),f38(x522,x523))
% 0.94/1.25 [53]~E(x531,x532)+E(f38(x533,x531),f38(x533,x532))
% 0.94/1.25 [54]~E(x541,x542)+E(f19(x541,x543),f19(x542,x543))
% 0.94/1.25 [55]~E(x551,x552)+E(f19(x553,x551),f19(x553,x552))
% 0.94/1.25 [56]~E(x561,x562)+E(f15(x561,x563,x564,x565,x566),f15(x562,x563,x564,x565,x566))
% 0.94/1.25 [57]~E(x571,x572)+E(f15(x573,x571,x574,x575,x576),f15(x573,x572,x574,x575,x576))
% 0.94/1.25 [58]~E(x581,x582)+E(f15(x583,x584,x581,x585,x586),f15(x583,x584,x582,x585,x586))
% 0.94/1.25 [59]~E(x591,x592)+E(f15(x593,x594,x595,x591,x596),f15(x593,x594,x595,x592,x596))
% 0.94/1.25 [60]~E(x601,x602)+E(f15(x603,x604,x605,x606,x601),f15(x603,x604,x605,x606,x602))
% 0.94/1.25 [61]~E(x611,x612)+E(f33(x611,x613),f33(x612,x613))
% 0.94/1.25 [62]~E(x621,x622)+E(f33(x623,x621),f33(x623,x622))
% 0.94/1.25 [63]~E(x631,x632)+E(f35(x631,x633,x634,x635),f35(x632,x633,x634,x635))
% 0.94/1.25 [64]~E(x641,x642)+E(f35(x643,x641,x644,x645),f35(x643,x642,x644,x645))
% 0.94/1.25 [65]~E(x651,x652)+E(f35(x653,x654,x651,x655),f35(x653,x654,x652,x655))
% 0.94/1.25 [66]~E(x661,x662)+E(f35(x663,x664,x665,x661),f35(x663,x664,x665,x662))
% 0.94/1.25 [67]~E(x671,x672)+E(f58(x671),f58(x672))
% 0.94/1.25 [68]~E(x681,x682)+E(f16(x681,x683,x684,x685,x686),f16(x682,x683,x684,x685,x686))
% 0.94/1.25 [69]~E(x691,x692)+E(f16(x693,x691,x694,x695,x696),f16(x693,x692,x694,x695,x696))
% 0.94/1.25 [70]~E(x701,x702)+E(f16(x703,x704,x701,x705,x706),f16(x703,x704,x702,x705,x706))
% 0.94/1.25 [71]~E(x711,x712)+E(f16(x713,x714,x715,x711,x716),f16(x713,x714,x715,x712,x716))
% 0.94/1.25 [72]~E(x721,x722)+E(f16(x723,x724,x725,x726,x721),f16(x723,x724,x725,x726,x722))
% 0.94/1.25 [73]~E(x731,x732)+E(f22(x731,x733,x734),f22(x732,x733,x734))
% 0.94/1.25 [74]~E(x741,x742)+E(f22(x743,x741,x744),f22(x743,x742,x744))
% 0.94/1.25 [75]~E(x751,x752)+E(f22(x753,x754,x751),f22(x753,x754,x752))
% 0.94/1.25 [76]~E(x761,x762)+E(f6(x761),f6(x762))
% 0.94/1.25 [77]~E(x771,x772)+E(f18(x771,x773,x774),f18(x772,x773,x774))
% 0.94/1.25 [78]~E(x781,x782)+E(f18(x783,x781,x784),f18(x783,x782,x784))
% 0.94/1.25 [79]~E(x791,x792)+E(f18(x793,x794,x791),f18(x793,x794,x792))
% 0.94/1.25 [80]~E(x801,x802)+E(f42(x801,x803,x804,x805),f42(x802,x803,x804,x805))
% 0.94/1.25 [81]~E(x811,x812)+E(f42(x813,x811,x814,x815),f42(x813,x812,x814,x815))
% 0.94/1.25 [82]~E(x821,x822)+E(f42(x823,x824,x821,x825),f42(x823,x824,x822,x825))
% 0.94/1.25 [83]~E(x831,x832)+E(f42(x833,x834,x835,x831),f42(x833,x834,x835,x832))
% 0.94/1.25 [84]~E(x841,x842)+E(f24(x841,x843,x844,x845),f24(x842,x843,x844,x845))
% 0.94/1.25 [85]~E(x851,x852)+E(f24(x853,x851,x854,x855),f24(x853,x852,x854,x855))
% 0.94/1.25 [86]~E(x861,x862)+E(f24(x863,x864,x861,x865),f24(x863,x864,x862,x865))
% 0.94/1.25 [87]~E(x871,x872)+E(f24(x873,x874,x875,x871),f24(x873,x874,x875,x872))
% 0.94/1.25 [88]~E(x881,x882)+E(f43(x881,x883,x884,x885),f43(x882,x883,x884,x885))
% 0.94/1.25 [89]~E(x891,x892)+E(f43(x893,x891,x894,x895),f43(x893,x892,x894,x895))
% 0.94/1.25 [90]~E(x901,x902)+E(f43(x903,x904,x901,x905),f43(x903,x904,x902,x905))
% 0.94/1.25 [91]~E(x911,x912)+E(f43(x913,x914,x915,x911),f43(x913,x914,x915,x912))
% 0.94/1.25 [92]~E(x921,x922)+E(f49(x921,x923),f49(x922,x923))
% 0.94/1.25 [93]~E(x931,x932)+E(f49(x933,x931),f49(x933,x932))
% 0.94/1.25 [94]~E(x941,x942)+E(f25(x941,x943,x944,x945),f25(x942,x943,x944,x945))
% 0.94/1.25 [95]~E(x951,x952)+E(f25(x953,x951,x954,x955),f25(x953,x952,x954,x955))
% 0.94/1.25 [96]~E(x961,x962)+E(f25(x963,x964,x961,x965),f25(x963,x964,x962,x965))
% 0.94/1.25 [97]~E(x971,x972)+E(f25(x973,x974,x975,x971),f25(x973,x974,x975,x972))
% 0.94/1.25 [98]~E(x981,x982)+E(f8(x981,x983),f8(x982,x983))
% 0.94/1.25 [99]~E(x991,x992)+E(f8(x993,x991),f8(x993,x992))
% 0.94/1.25 [100]~E(x1001,x1002)+E(f36(x1001),f36(x1002))
% 0.94/1.25 [101]~E(x1011,x1012)+E(f57(x1011),f57(x1012))
% 0.94/1.25 [102]~E(x1021,x1022)+E(f56(x1021),f56(x1022))
% 0.94/1.25 [103]~E(x1031,x1032)+E(f20(x1031,x1033,x1034),f20(x1032,x1033,x1034))
% 0.94/1.25 [104]~E(x1041,x1042)+E(f20(x1043,x1041,x1044),f20(x1043,x1042,x1044))
% 0.94/1.25 [105]~E(x1051,x1052)+E(f20(x1053,x1054,x1051),f20(x1053,x1054,x1052))
% 0.94/1.25 [106]~E(x1061,x1062)+E(f39(x1061,x1063,x1064),f39(x1062,x1063,x1064))
% 0.94/1.25 [107]~E(x1071,x1072)+E(f39(x1073,x1071,x1074),f39(x1073,x1072,x1074))
% 0.94/1.25 [108]~E(x1081,x1082)+E(f39(x1083,x1084,x1081),f39(x1083,x1084,x1082))
% 0.94/1.25 [109]~E(x1091,x1092)+E(f41(x1091,x1093,x1094),f41(x1092,x1093,x1094))
% 0.94/1.25 [110]~E(x1101,x1102)+E(f41(x1103,x1101,x1104),f41(x1103,x1102,x1104))
% 0.94/1.25 [111]~E(x1111,x1112)+E(f41(x1113,x1114,x1111),f41(x1113,x1114,x1112))
% 0.94/1.25 [112]~E(x1121,x1122)+E(f55(x1121),f55(x1122))
% 0.94/1.25 [113]~E(x1131,x1132)+E(f37(x1131,x1133),f37(x1132,x1133))
% 0.94/1.25 [114]~E(x1141,x1142)+E(f37(x1143,x1141),f37(x1143,x1142))
% 0.94/1.25 [115]~P1(x1151)+P1(x1152)+~E(x1151,x1152)
% 0.94/1.25 [116]~P2(x1161)+P2(x1162)+~E(x1161,x1162)
% 0.94/1.25 [117]~P3(x1171)+P3(x1172)+~E(x1171,x1172)
% 0.94/1.25 [118]~P4(x1181)+P4(x1182)+~E(x1181,x1182)
% 0.94/1.25 [119]~P32(x1191)+P32(x1192)+~E(x1191,x1192)
% 0.94/1.25 [120]~P21(x1201)+P21(x1202)+~E(x1201,x1202)
% 0.94/1.25 [121]~P33(x1211)+P33(x1212)+~E(x1211,x1212)
% 0.94/1.25 [122]~P26(x1221)+P26(x1222)+~E(x1221,x1222)
% 0.94/1.25 [123]~P28(x1231)+P28(x1232)+~E(x1231,x1232)
% 0.94/1.25 [124]~P5(x1241)+P5(x1242)+~E(x1241,x1242)
% 0.94/1.25 [125]~P58(x1251)+P58(x1252)+~E(x1251,x1252)
% 0.94/1.25 [126]~P34(x1261)+P34(x1262)+~E(x1261,x1262)
% 0.94/1.25 [127]~P35(x1271)+P35(x1272)+~E(x1271,x1272)
% 0.94/1.25 [128]~P45(x1281)+P45(x1282)+~E(x1281,x1282)
% 0.94/1.25 [129]~P47(x1291)+P47(x1292)+~E(x1291,x1292)
% 0.94/1.25 [130]~P30(x1301)+P30(x1302)+~E(x1301,x1302)
% 0.94/1.25 [131]~P31(x1311)+P31(x1312)+~E(x1311,x1312)
% 0.94/1.25 [132]~P8(x1321)+P8(x1322)+~E(x1321,x1322)
% 0.94/1.25 [133]~P46(x1331)+P46(x1332)+~E(x1331,x1332)
% 0.94/1.25 [134]~P9(x1341)+P9(x1342)+~E(x1341,x1342)
% 0.94/1.25 [135]~P15(x1351)+P15(x1352)+~E(x1351,x1352)
% 0.94/1.25 [136]~P48(x1361)+P48(x1362)+~E(x1361,x1362)
% 0.94/1.25 [137]~P22(x1371)+P22(x1372)+~E(x1371,x1372)
% 0.94/1.25 [138]~P56(x1381)+P56(x1382)+~E(x1381,x1382)
% 0.94/1.25 [139]~P49(x1391)+P49(x1392)+~E(x1391,x1392)
% 0.94/1.25 [140]~P17(x1401)+P17(x1402)+~E(x1401,x1402)
% 0.94/1.25 [141]~P20(x1411)+P20(x1412)+~E(x1411,x1412)
% 0.94/1.25 [142]~P29(x1421)+P29(x1422)+~E(x1421,x1422)
% 0.94/1.25 [143]~P37(x1431)+P37(x1432)+~E(x1431,x1432)
% 0.94/1.25 [144]~P39(x1441)+P39(x1442)+~E(x1441,x1442)
% 0.94/1.25 [145]~P40(x1451)+P40(x1452)+~E(x1451,x1452)
% 0.94/1.25 [146]~P50(x1461)+P50(x1462)+~E(x1461,x1462)
% 0.94/1.25 [147]~P57(x1471)+P57(x1472)+~E(x1471,x1472)
% 0.94/1.25 [148]~P41(x1481)+P41(x1482)+~E(x1481,x1482)
% 0.94/1.25 [149]~P42(x1491)+P42(x1492)+~E(x1491,x1492)
% 0.94/1.25 [150]~P23(x1501)+P23(x1502)+~E(x1501,x1502)
% 0.94/1.25 [151]~P18(x1511)+P18(x1512)+~E(x1511,x1512)
% 0.94/1.25 [152]~P36(x1521)+P36(x1522)+~E(x1521,x1522)
% 0.94/1.25 [153]~P14(x1531)+P14(x1532)+~E(x1531,x1532)
% 0.94/1.25 [154]P10(x1542,x1543,x1544)+~E(x1541,x1542)+~P10(x1541,x1543,x1544)
% 0.94/1.25 [155]P10(x1553,x1552,x1554)+~E(x1551,x1552)+~P10(x1553,x1551,x1554)
% 0.94/1.25 [156]P10(x1563,x1564,x1562)+~E(x1561,x1562)+~P10(x1563,x1564,x1561)
% 0.94/1.25 [157]P12(x1572,x1573,x1574)+~E(x1571,x1572)+~P12(x1571,x1573,x1574)
% 0.94/1.25 [158]P12(x1583,x1582,x1584)+~E(x1581,x1582)+~P12(x1583,x1581,x1584)
% 0.94/1.25 [159]P12(x1593,x1594,x1592)+~E(x1591,x1592)+~P12(x1593,x1594,x1591)
% 0.94/1.25 [160]P7(x1602,x1603,x1604,x1605,x1606,x1607)+~E(x1601,x1602)+~P7(x1601,x1603,x1604,x1605,x1606,x1607)
% 0.94/1.25 [161]P7(x1613,x1612,x1614,x1615,x1616,x1617)+~E(x1611,x1612)+~P7(x1613,x1611,x1614,x1615,x1616,x1617)
% 0.94/1.25 [162]P7(x1623,x1624,x1622,x1625,x1626,x1627)+~E(x1621,x1622)+~P7(x1623,x1624,x1621,x1625,x1626,x1627)
% 0.94/1.25 [163]P7(x1633,x1634,x1635,x1632,x1636,x1637)+~E(x1631,x1632)+~P7(x1633,x1634,x1635,x1631,x1636,x1637)
% 0.94/1.25 [164]P7(x1643,x1644,x1645,x1646,x1642,x1647)+~E(x1641,x1642)+~P7(x1643,x1644,x1645,x1646,x1641,x1647)
% 0.94/1.25 [165]P7(x1653,x1654,x1655,x1656,x1657,x1652)+~E(x1651,x1652)+~P7(x1653,x1654,x1655,x1656,x1657,x1651)
% 0.94/1.25 [166]P13(x1662,x1663,x1664)+~E(x1661,x1662)+~P13(x1661,x1663,x1664)
% 0.94/1.25 [167]P13(x1673,x1672,x1674)+~E(x1671,x1672)+~P13(x1673,x1671,x1674)
% 0.94/1.25 [168]P13(x1683,x1684,x1682)+~E(x1681,x1682)+~P13(x1683,x1684,x1681)
% 0.94/1.25 [169]P6(x1692,x1693,x1694)+~E(x1691,x1692)+~P6(x1691,x1693,x1694)
% 0.94/1.25 [170]P6(x1703,x1702,x1704)+~E(x1701,x1702)+~P6(x1703,x1701,x1704)
% 0.94/1.25 [171]P6(x1713,x1714,x1712)+~E(x1711,x1712)+~P6(x1713,x1714,x1711)
% 0.94/1.25 [172]~P16(x1721)+P16(x1722)+~E(x1721,x1722)
% 0.94/1.25 [173]~P27(x1731)+P27(x1732)+~E(x1731,x1732)
% 0.94/1.25 [174]~P51(x1741)+P51(x1742)+~E(x1741,x1742)
% 0.94/1.25 [175]~P54(x1751)+P54(x1752)+~E(x1751,x1752)
% 0.94/1.25 [176]~P44(x1761)+P44(x1762)+~E(x1761,x1762)
% 0.94/1.25 [177]~P25(x1771)+P25(x1772)+~E(x1771,x1772)
% 0.94/1.25 [178]~P38(x1781)+P38(x1782)+~E(x1781,x1782)
% 0.94/1.25 [179]P11(x1792,x1793)+~E(x1791,x1792)+~P11(x1791,x1793)
% 0.94/1.25 [180]P11(x1803,x1802)+~E(x1801,x1802)+~P11(x1803,x1801)
% 0.94/1.25 [181]~P24(x1811)+P24(x1812)+~E(x1811,x1812)
% 0.94/1.25 [182]~P55(x1821)+P55(x1822)+~E(x1821,x1822)
% 0.94/1.25 [183]~P43(x1831)+P43(x1832)+~E(x1831,x1832)
% 0.94/1.25 [184]~P52(x1841)+P52(x1842)+~E(x1841,x1842)
% 0.94/1.25 [185]~P53(x1851)+P53(x1852)+~E(x1851,x1852)
% 0.94/1.25 [186]~P19(x1861)+P19(x1862)+~E(x1861,x1862)
% 0.94/1.25
% 0.94/1.25 %-------------------------------------------
% 0.94/1.25 cnf(1099,plain,
% 0.94/1.25 (~E(f46(f46(a13,x10991),x10992),f12(x10993))),
% 0.94/1.25 inference(rename_variables,[],[357])).
% 0.94/1.25 cnf(1105,plain,
% 0.94/1.25 (P12(x11051,f9(x11051,x11051,a1),a1)),
% 0.94/1.25 inference(rename_variables,[],[287])).
% 0.94/1.25 cnf(1108,plain,
% 0.94/1.25 (P12(x11081,f9(x11081,x11081,a1),a1)),
% 0.94/1.25 inference(rename_variables,[],[287])).
% 0.94/1.25 cnf(1111,plain,
% 0.94/1.25 (~P6(x11111,x11111,a1)),
% 0.94/1.25 inference(rename_variables,[],[360])).
% 0.94/1.25 cnf(1114,plain,
% 0.94/1.25 (~P6(f46(f46(f3(a1),x11141),x11142),x11142,a1)),
% 0.94/1.25 inference(rename_variables,[],[365])).
% 0.94/1.25 cnf(1117,plain,
% 0.94/1.25 (~P6(f46(f46(f3(a1),x11171),x11172),x11172,a1)),
% 0.94/1.25 inference(rename_variables,[],[365])).
% 0.94/1.25 cnf(1120,plain,
% 0.94/1.25 (~P12(f31(x11201),x11201,a1)),
% 0.94/1.25 inference(rename_variables,[],[363])).
% 0.94/1.25 cnf(1123,plain,
% 0.94/1.25 (~P12(f31(x11231),x11231,a1)),
% 0.94/1.25 inference(rename_variables,[],[363])).
% 0.94/1.25 cnf(1126,plain,
% 0.94/1.25 (P12(x11261,f9(x11261,x11261,a1),a1)),
% 0.94/1.25 inference(rename_variables,[],[287])).
% 0.94/1.25 cnf(1129,plain,
% 0.94/1.25 (P6(x11291,f31(x11291),a1)),
% 0.94/1.25 inference(rename_variables,[],[253])).
% 0.94/1.25 cnf(1132,plain,
% 0.94/1.25 (P12(x11321,f9(x11321,x11321,a1),a1)),
% 0.94/1.25 inference(rename_variables,[],[287])).
% 0.94/1.25 cnf(1135,plain,
% 0.94/1.25 (P12(x11351,f9(x11351,x11351,a1),a1)),
% 0.94/1.25 inference(rename_variables,[],[287])).
% 0.94/1.25 cnf(1140,plain,
% 0.94/1.25 (~P6(f46(f46(f3(a1),x11401),x11402),x11402,a1)),
% 0.94/1.25 inference(rename_variables,[],[365])).
% 0.94/1.25 cnf(1143,plain,
% 0.94/1.25 (~P6(f46(f46(f3(a1),x11431),x11432),x11432,a1)),
% 0.94/1.25 inference(rename_variables,[],[365])).
% 0.94/1.25 cnf(1146,plain,
% 0.94/1.25 (~P12(f31(x11461),x11461,a1)),
% 0.94/1.25 inference(rename_variables,[],[363])).
% 0.94/1.25 cnf(1152,plain,
% 0.94/1.25 (~E(f46(f46(a13,x11521),x11522),f12(x11523))),
% 0.94/1.25 inference(rename_variables,[],[357])).
% 0.94/1.25 cnf(1155,plain,
% 0.94/1.25 (~E(f46(f46(a13,x11551),x11552),f12(x11553))),
% 0.94/1.25 inference(rename_variables,[],[357])).
% 0.94/1.25 cnf(1158,plain,
% 0.94/1.25 (~E(f46(f46(a13,x11581),x11582),f12(x11583))),
% 0.94/1.25 inference(rename_variables,[],[357])).
% 0.94/1.25 cnf(1173,plain,
% 0.94/1.25 (~P6(x11731,x11731,a1)),
% 0.94/1.25 inference(rename_variables,[],[360])).
% 0.94/1.25 cnf(1176,plain,
% 0.94/1.25 (~P6(x11761,x11761,a1)),
% 0.94/1.25 inference(rename_variables,[],[360])).
% 0.94/1.25 cnf(1179,plain,
% 0.94/1.25 (~P6(x11791,x11791,a1)),
% 0.94/1.25 inference(rename_variables,[],[360])).
% 0.94/1.25 cnf(1182,plain,
% 0.94/1.25 (~P6(x11821,x11821,a1)),
% 0.94/1.25 inference(rename_variables,[],[360])).
% 0.94/1.25 cnf(1187,plain,
% 0.94/1.25 (~P6(x11871,x11871,a1)),
% 0.94/1.25 inference(rename_variables,[],[360])).
% 0.94/1.25 cnf(1190,plain,
% 0.94/1.25 (~P12(f31(x11901),x11901,a1)),
% 0.94/1.25 inference(rename_variables,[],[363])).
% 0.94/1.25 cnf(1196,plain,
% 0.94/1.25 (P6(x11961,f31(x11961),a1)),
% 0.94/1.25 inference(rename_variables,[],[253])).
% 0.94/1.25 cnf(1205,plain,
% 0.94/1.25 (~P6(x12051,x12051,a1)),
% 0.94/1.25 inference(rename_variables,[],[360])).
% 0.94/1.25 cnf(1212,plain,
% 0.94/1.25 ($false),
% 0.94/1.25 inference(scs_inference,[],[367,236,360,1111,1173,1176,1179,1182,1187,1205,240,225,345,253,1129,1196,363,1120,1123,1146,1190,287,1105,1108,1126,1132,1135,289,270,353,290,255,330,357,1099,1152,1155,1158,365,1114,1117,1140,1143,298,300,282,297,2,493,450,421,427,1056,678,677,676,638,615,613,611,609,568,511,510,508,507,502,501,500,463,1055,1054,1052,840,711,544,527,499,893,892,707,706,459,820,819,816,815,977,716,180,170,169,158,157,156]),
% 0.94/1.25 ['proof']).
% 0.94/1.25 % SZS output end Proof
% 0.94/1.25 % Total time :0.230000s
%------------------------------------------------------------------------------