TSTP Solution File: LCL796-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL796-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:50:59 EDT 2023
% Result : Unsatisfiable 0.94s 1.12s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL796-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n008.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 17:50:32 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.20/0.53 start to proof:theBenchmark
% 0.85/1.06 %-------------------------------------------
% 0.85/1.06 % File :CSE---1.6
% 0.85/1.06 % Problem :theBenchmark
% 0.85/1.06 % Transform :cnf
% 0.85/1.06 % Format :tptp:raw
% 0.85/1.06 % Command :java -jar mcs_scs.jar %d %s
% 0.85/1.06
% 0.85/1.06 % Result :Theorem 0.130000s
% 0.85/1.06 % Output :CNFRefutation 0.130000s
% 0.85/1.06 %-------------------------------------------
% 0.85/1.07 %------------------------------------------------------------------------------
% 0.85/1.07 % File : LCL796-1 : TPTP v8.1.2. Released v4.1.0.
% 0.85/1.07 % Domain : Logic Calculi
% 0.85/1.07 % Problem : Strong normalization of typed lambda calculus 145_19
% 0.85/1.07 % Version : Especial.
% 0.85/1.07 % English :
% 0.85/1.07
% 0.85/1.07 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.85/1.07 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.85/1.07 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.85/1.07 % Source : [Nip10]
% 0.85/1.07 % Names : StrongNorm-145_19 [Nip10]
% 0.85/1.07
% 0.85/1.07 % Status : Unsatisfiable
% 0.85/1.07 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 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 v5.5.0, 0.55 v5.3.0, 0.61 v5.2.0, 0.50 v5.1.0, 0.59 v5.0.0, 0.64 v4.1.0
% 0.85/1.07 % Syntax : Number of clauses : 1016 ( 196 unt; 115 nHn; 532 RR)
% 0.85/1.07 % Number of literals : 2473 ( 642 equ;1378 neg)
% 0.85/1.07 % Maximal clause size : 6 ( 2 avg)
% 0.85/1.07 % Maximal term depth : 8 ( 2 avg)
% 0.85/1.07 % Number of predicates : 60 ( 59 usr; 0 prp; 1-6 aty)
% 0.85/1.07 % Number of functors : 61 ( 61 usr; 12 con; 0-5 aty)
% 0.85/1.07 % Number of variables : 3127 ( 481 sgn)
% 0.85/1.07 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.85/1.07
% 0.85/1.07 % Comments :
% 0.85/1.07 %------------------------------------------------------------------------------
% 0.85/1.07 cnf(cls_max__less__iff__conj_2,axiom,
% 0.85/1.07 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.07 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_min__diff__distrib__left_0,axiom,
% 0.85/1.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.85/1.07 | 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) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_diff__is__0__eq_0,axiom,
% 0.85/1.07 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.85/1.07 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_diff__is__0__eq_1,axiom,
% 0.85/1.07 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.85/1.07 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_zero__le__power_0,axiom,
% 0.85/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.85/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_eq__add__iff1_1,axiom,
% 0.85/1.07 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.85/1.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c)) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 0.85/1.07 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.07 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.85/1.07 | ~ c_lessequals(V_x,V_z,T_a)
% 0.85/1.07 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 0.85/1.07 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.07 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.85/1.07 | ~ c_lessequals(V_x,V_z,T_a)
% 0.85/1.07 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_min__max_Ole__infI_0,axiom,
% 0.85/1.07 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.07 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 0.85/1.07 | ~ c_lessequals(V_x,V_b,T_a)
% 0.85/1.07 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_min__max_Oinf__le2_0,axiom,
% 0.85/1.07 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.07 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_min__max_Oinf__le1_0,axiom,
% 0.85/1.07 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.07 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_nat_Oinduct_1,axiom,
% 0.85/1.07 ( hBOOL(hAPP(V_P,V_nat))
% 0.85/1.07 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinduct__1(V_P))))
% 0.85/1.07 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.85/1.07 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.07 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_mult__strict__mono_0,axiom,
% 0.85/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.85/1.07 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 0.85/1.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_one__le__power_0,axiom,
% 0.85/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.07 | c_lessequals(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.85/1.07 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_power__0__Suc_0,axiom,
% 0.85/1.07 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.85/1.07 | ~ class_Power_Opower(T_a)
% 0.85/1.07 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_Suc(V_n)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_add__Suc__right_0,axiom,
% 0.85/1.07 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)) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_add__Suc_0,axiom,
% 0.85/1.07 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)) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_split__div__lemma_0,axiom,
% 0.85/1.07 ( V_q = c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_Suc(V_q)),tc_nat)
% 0.85/1.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_q),V_m,tc_nat)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_eq__add__iff2_1,axiom,
% 0.85/1.07 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.85/1.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_nat__less__add__iff1_0,axiom,
% 0.85/1.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat)),V_u)),V_m),V_n,tc_nat)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat)
% 0.85/1.07 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_nat__less__add__iff1_1,axiom,
% 0.85/1.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat)),V_u)),V_m),V_n,tc_nat)
% 0.85/1.07 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_nat__less__add__iff2_0,axiom,
% 0.85/1.07 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_u)),V_n),tc_nat)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat)
% 0.85/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_nat__less__add__iff2_1,axiom,
% 0.85/1.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat)
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_u)),V_n),tc_nat)
% 0.85/1.07 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_eq__add__iff2_0,axiom,
% 0.85/1.07 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.85/1.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)
% 0.85/1.07 | V_c = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_eq__add__iff1_0,axiom,
% 0.85/1.07 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.85/1.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)
% 0.85/1.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c) = V_d ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_infinite__descent0_2,axiom,
% 0.85/1.07 ( hBOOL(hAPP(V_P,V_n))
% 0.85/1.07 | hBOOL(hAPP(V_P,V_x))
% 0.85/1.07 | ~ c_HOL_Oord__class_Oless(V_x,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P),tc_nat)
% 0.85/1.07 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_div__mod__equality2_0,axiom,
% 0.85/1.07 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a))),c_Divides_Odiv__class_Omod(V_a,V_b,T_a))),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_div__mod__equality_0,axiom,
% 0.85/1.07 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)),V_b)),c_Divides_Odiv__class_Omod(V_a,V_b,T_a))),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_less__add__Suc1_0,axiom,
% 0.85/1.07 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_less__add__Suc2_0,axiom,
% 0.85/1.07 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.85/1.07 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.85/1.07
% 0.85/1.07 cnf(cls_le__diff__conv2_0,axiom,
% 0.85/1.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.85/1.08 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.85/1.08 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_le__diff__conv2_1,axiom,
% 0.85/1.08 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.85/1.08 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.85/1.08 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.85/1.08 | ~ c_lessequals(V_y,V_z,T_a)
% 0.85/1.08 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_min__max_Osup__least_0,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 0.85/1.08 | ~ c_lessequals(V_z,V_x,T_a)
% 0.85/1.08 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_min__max_Ole__supI_0,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 0.85/1.08 | ~ c_lessequals(V_b,V_x,T_a)
% 0.85/1.08 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_le__maxI1_0,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_le__maxI2_0,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_bot__least_0,axiom,
% 0.85/1.08 ( ~ class_Orderings_Obot(T_a)
% 0.85/1.08 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_nat__rec__Suc_0,axiom,
% 0.85/1.08 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)) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_gb__semiring_Opwr__pwr_0,axiom,
% 0.85/1.08 ( hAPP(hAPP(V_pwr,hAPP(hAPP(V_pwr,V_x),V_p)),V_q) = hAPP(hAPP(V_pwr,V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_p),V_q))
% 0.85/1.08 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | 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) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | 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) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_power__strict__decreasing_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_Divides_Omod__div__equality_H_0,axiom,
% 0.85/1.08 c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_HOL_Ominus__class_Ominus(V_m,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)),V_n),tc_nat) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_add__increasing_0,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.85/1.08 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.08 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.85/1.08 | ~ c_lessequals(V_b,V_c,T_a)
% 0.85/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_add__increasing2_0,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.85/1.08 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.08 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.85/1.08 | ~ c_lessequals(V_b,V_a,T_a)
% 0.85/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_upt_Oinduct_1,axiom,
% 0.85/1.08 ( hBOOL(hAPP(V_P,V_nat))
% 0.85/1.08 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xupt__Xinduct__1(V_P))))
% 0.85/1.08 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_replicate_Oinduct_1,axiom,
% 0.85/1.08 ( hBOOL(hAPP(V_P,V_nat))
% 0.85/1.08 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xreplicate__Xinduct__1(V_P))))
% 0.85/1.08 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_Suc__leI_0,axiom,
% 0.85/1.08 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_Suc__le__eq_0,axiom,
% 0.85/1.08 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.85/1.08 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_less__eq__Suc__le_0,axiom,
% 0.85/1.08 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_less__eq__Suc__le_1,axiom,
% 0.85/1.08 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.85/1.08 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.85/1.08 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.85/1.08 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_add__lessD1_0,axiom,
% 0.85/1.08 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_trans__less__add1_0,axiom,
% 0.85/1.08 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_trans__less__add2_0,axiom,
% 0.85/1.08 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_power__decreasing_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.08 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.85/1.08 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.85/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.85/1.08 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_le__add__iff2_1,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.85/1.08 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a)
% 0.85/1.08 | ~ c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d),T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_le__add__iff2_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.85/1.08 | c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d),T_a)
% 0.85/1.08 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_le__add__iff1_1,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.85/1.08 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a)
% 0.85/1.08 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c),V_d,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_le__add__iff1_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.85/1.08 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c),V_d,T_a)
% 0.85/1.08 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_Suc__diff__le_0,axiom,
% 0.85/1.08 ( 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))
% 0.85/1.08 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.85/1.08 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)) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.85/1.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.08 | 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) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.08 | 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) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_nat__add__commute_0,axiom,
% 0.85/1.08 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) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_less__add__eq__less_0,axiom,
% 0.85/1.08 ( 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)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.85/1.08 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.08 | 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) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.85/1.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.85/1.08 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.85/1.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.85/1.08 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_div__mult__self1__is__m_0,axiom,
% 0.85/1.08 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_m),V_n,tc_nat) = V_m
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_div__mult__self__is__m_0,axiom,
% 0.85/1.08 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),V_n,tc_nat) = V_m
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_diff__Suc__diff__eq2_0,axiom,
% 0.85/1.08 ( 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)
% 0.85/1.08 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.85/1.08 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.85/1.08 | V_m = V_n ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_class__semiring_Omul__1_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_x) = V_x ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_mult__1_0,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.85/1.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_mult__1__left_0,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.85/1.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_mult__1__right_0,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.85/1.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_add__strict__increasing_0,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.85/1.08 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.08 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.85/1.08 | ~ c_lessequals(V_b,V_c,T_a)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_lem0_0,axiom,
% 0.85/1.08 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat)
% 0.85/1.08 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_div__self_0,axiom,
% 0.85/1.08 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.08 | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.85/1.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_add__is__1_4,axiom,
% 0.85/1.08 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)) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_mod__mod__trivial_0,axiom,
% 0.85/1.08 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.08 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_of__nat__le__iff_0,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.08 | c_lessequals(V_m,V_n,tc_nat)
% 0.85/1.08 | ~ 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) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_of__nat__le__iff_1,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.08 | 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)
% 0.85/1.08 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_subst__preserves__beta_0,axiom,
% 0.85/1.08 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i))
% 0.85/1.08 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.85/1.08 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_min__less__iff__conj_2,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.85/1.08 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_y)) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.85/1.08 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_c)) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.85/1.08 | ~ class_Int_Onumber__ring(T_a)
% 0.85/1.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.85/1.08 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.85/1.08 | ~ class_Int_Onumber__ring(T_a)
% 0.85/1.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_max__Suc__Suc_0,axiom,
% 0.85/1.08 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)) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_less__Suc0_0,axiom,
% 0.85/1.08 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.85/1.08 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.85/1.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.85/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.85/1.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.85/1.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.85/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_div__le__dividend_0,axiom,
% 0.85/1.08 c_lessequals(c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 0.85/1.08 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.08 | 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) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_subst__Var_2,axiom,
% 0.85/1.08 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.85/1.08 | V_i = V_k
% 0.85/1.08 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.85/1.08
% 0.85/1.08 cnf(cls_nat__diff__add__eq2_0,axiom,
% 0.85/1.09 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_u)),V_n),tc_nat)
% 0.85/1.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat__diff__add__eq1_0,axiom,
% 0.85/1.09 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat)),V_u)),V_m),V_n,tc_nat)
% 0.85/1.09 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_diff__add__cancel_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat__diff__split__asm_1,axiom,
% 0.85/1.09 ( ~ 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)))
% 0.85/1.09 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat__diff__split_1,axiom,
% 0.85/1.09 ( ~ 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)))
% 0.85/1.09 | hBOOL(hAPP(V_P,V_d)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mod__Suc_1,axiom,
% 0.85/1.09 ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 0.85/1.09 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mult__le__cancel2_1,axiom,
% 0.85/1.09 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat)
% 0.85/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mult__le__cancel1_1,axiom,
% 0.85/1.09 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)
% 0.85/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Opwr__pwr_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_p),V_q)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat_Oinducts_1,axiom,
% 0.85/1.09 ( hBOOL(hAPP(V_P,V_nat))
% 0.85/1.09 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinducts__1(V_P))))
% 0.85/1.09 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_power__Suc2_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_power__Suc_0,axiom,
% 0.85/1.09 ( ~ class_Power_Opower(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Opwr__Suc_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Suc(V_q)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__le__mono_0,axiom,
% 0.85/1.09 ( 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)
% 0.85/1.09 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.85/1.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__mono_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.85/1.09 | 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)
% 0.85/1.09 | ~ c_lessequals(V_c,V_d,T_a)
% 0.85/1.09 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_comm__monoid__add_Opower__Suc2_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)),V_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_comm__monoid__add_Opower__Suc_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_less__Suc__eq__le_1,axiom,
% 0.85/1.09 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.85/1.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_less__Suc__eq__le_0,axiom,
% 0.85/1.09 ( c_lessequals(V_m,V_n,tc_nat)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_le__less__Suc__eq_1,axiom,
% 0.85/1.09 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat__mult__commute_0,axiom,
% 0.85/1.09 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_m) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.85/1.09 | 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) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_diff__less__Suc_0,axiom,
% 0.85/1.09 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_comm__monoid__add_Opower__add_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_comm__monoid__add_Opower__mult__distrib_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_b),V_n)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mod__add__eq_0,axiom,
% 0.85/1.09 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.09 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.85/1.09 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) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.85/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_power__Suc__less__one_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_order__less__trans_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Opreorder(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_xt1_I10_J_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Oorder(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 0.85/1.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 0.85/1.09 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 0.85/1.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | 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) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__cancel__21_1,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.85/1.09 | 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)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat__add__left__commute_0,axiom,
% 0.85/1.09 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)) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat__add__assoc_0,axiom,
% 0.85/1.09 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)) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.09 | 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)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.85/1.09 | 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)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.85/1.09 | 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)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | 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) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | 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) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | 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)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | 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)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__gr__0_0,axiom,
% 0.85/1.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.85/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.85/1.09 | ~ 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) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_power__add_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_one__le__mult__iff_1,axiom,
% 0.85/1.09 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.85/1.09 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_one__le__mult__iff_0,axiom,
% 0.85/1.09 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.85/1.09 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__cancel__21_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.85/1.09 | 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)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_trans__le__add2_0,axiom,
% 0.85/1.09 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.85/1.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_trans__le__add1_0,axiom,
% 0.85/1.09 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.85/1.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__leE_1,axiom,
% 0.85/1.09 ( c_lessequals(V_k,V_n,tc_nat)
% 0.85/1.09 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__leE_0,axiom,
% 0.85/1.09 ( c_lessequals(V_m,V_n,tc_nat)
% 0.85/1.09 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_termination__basic__simps_I4_J_0,axiom,
% 0.85/1.09 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.85/1.09 | ~ c_lessequals(V_x,V_z,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_termination__basic__simps_I3_J_0,axiom,
% 0.85/1.09 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.85/1.09 | ~ c_lessequals(V_x,V_y,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.85/1.09 ( ~ class_Divides_Oring__div(T_a)
% 0.85/1.09 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.85/1.09 ( ~ class_Divides_Oring__div(T_a)
% 0.85/1.09 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_power__one_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.85/1.09 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Oone__class_Oone(T_a)),V_n) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 0.85/1.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 0.85/1.09 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 0.85/1.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_max__diff__distrib__left_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.85/1.09 | 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) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mod__less__divisor_0,axiom,
% 0.85/1.09 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_not__leE_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.85/1.09 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | ~ c_lessequals(V_x,V_x,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mod__le__divisor_0,axiom,
% 0.85/1.09 ( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_foldl__assoc_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.85/1.09 | 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)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_power__power__power_0,axiom,
% 0.85/1.09 ( ~ class_Power_Opower(T_a)
% 0.85/1.09 | c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(T_a),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_power_Opower_Opower__Suc_0,axiom,
% 0.85/1.09 hAPP(hAPP(c_Power_Opower_Opower(V_one,V_times,T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(V_times,V_a),hAPP(hAPP(c_Power_Opower_Opower(V_one,V_times,T_a),V_a),V_n)) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_diff__less__mono2_0,axiom,
% 0.85/1.09 ( 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)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat__induct_1,axiom,
% 0.85/1.09 ( hBOOL(hAPP(V_P,V_n))
% 0.85/1.09 | ~ hBOOL(hAPP(V_P,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(V_P))))
% 0.85/1.09 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.85/1.09 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.85/1.09 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.85/1.09 | V_m = V_n ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_div__le__mono2_0,axiom,
% 0.85/1.09 ( 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)
% 0.85/1.09 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mod__div__trivial_0,axiom,
% 0.85/1.09 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.09 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_div__if_0,axiom,
% 0.85/1.09 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_mod__mult__eq_0,axiom,
% 0.85/1.09 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.09 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_power__commutes_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_split__div_H_7,axiom,
% 0.85/1.09 ( hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)))
% 0.85/1.09 | ~ hBOOL(hAPP(V_P,V_x))
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_Suc(V_x)),tc_nat)
% 0.85/1.09 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_x),V_m,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_le__max__iff__disj_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(V_z,V_y,T_a)
% 0.85/1.09 | c_lessequals(V_z,V_x,T_a)
% 0.85/1.09 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Omul__pwr_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_ex__least__nat__le_0,axiom,
% 0.85/1.09 ( c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n),V_n,tc_nat)
% 0.85/1.09 | ~ hBOOL(hAPP(V_P,V_n))
% 0.85/1.09 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_gb__semiring_Omul__pwr_0,axiom,
% 0.85/1.09 ( 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))
% 0.85/1.09 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_liftn__lift_0,axiom,
% 0.85/1.09 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) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat__eq__add__iff1_1,axiom,
% 0.85/1.09 ( ~ c_lessequals(V_j,V_i,tc_nat)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat)),V_u)),V_m)) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(V_x,V_z,T_a)
% 0.85/1.09 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(V_x,V_y,T_a)
% 0.85/1.09 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__le__iff__disj_2,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.85/1.09 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__le__iff__disj_1,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.85/1.09 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__infI2_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.85/1.09 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__infI1_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.85/1.09 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__infE_1,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(V_x,V_b,T_a)
% 0.85/1.09 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_min__max_Ole__infE_0,axiom,
% 0.85/1.09 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.09 | c_lessequals(V_x,V_a,T_a)
% 0.85/1.09 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_div__mult__self2_0,axiom,
% 0.85/1.09 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)),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))
% 0.85/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_div__mult__self1_0,axiom,
% 0.85/1.09 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)),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))
% 0.85/1.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a))),V_m) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_div__if_1,axiom,
% 0.85/1.09 ( 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))
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.85/1.09 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.85/1.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.85/1.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.85/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.85/1.09 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_Suc__inject_0,axiom,
% 0.85/1.09 ( c_Suc(V_x) != c_Suc(V_y)
% 0.85/1.09 | V_x = V_y ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_nat_Oinject_0,axiom,
% 0.85/1.09 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.85/1.09 | V_nat = V_nat_H ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_less__add__iff2_1,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_less__add__iff2_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d),T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_less__add__iff1_1,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.85/1.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a)
% 0.85/1.09 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c),V_d,T_a) ) ).
% 0.85/1.09
% 0.85/1.09 cnf(cls_less__add__iff1_0,axiom,
% 0.85/1.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c),V_d,T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_le__mod__geq_0,axiom,
% 0.85/1.10 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.85/1.10 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_nat__eq__add__iff1_0,axiom,
% 0.85/1.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n)
% 0.85/1.10 | ~ c_lessequals(V_j,V_i,tc_nat)
% 0.85/1.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat)),V_u)),V_m) = V_n ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_nat__eq__add__iff2_0,axiom,
% 0.85/1.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n)
% 0.85/1.10 | ~ c_lessequals(V_i,V_j,tc_nat)
% 0.85/1.10 | V_m = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_u)),V_n) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_min__le__iff__disj_0,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_y,V_z,T_a)
% 0.85/1.10 | c_lessequals(V_x,V_z,T_a)
% 0.85/1.10 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_nat__eq__add__iff2_1,axiom,
% 0.85/1.10 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.85/1.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_u)),V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_mod__add__cong_0,axiom,
% 0.85/1.10 ( ~ class_Divides_Osemiring__div(T_a)
% 0.85/1.10 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.85/1.10 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.85/1.10 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_less__Suc0_1,axiom,
% 0.85/1.10 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.85/1.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.85/1.10 | 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)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.85/1.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.85/1.10 | ~ 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) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_even__less__0__iff_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.85/1.10 | ~ 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) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_even__less__0__iff_1,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.85/1.10 | 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)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_one__is__add_1,axiom,
% 0.85/1.10 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.85/1.10 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.85/1.10 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_one__is__add_2,axiom,
% 0.85/1.10 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.85/1.10 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.85/1.10 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_mult__pos__pos_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_mult__neg__neg_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.85/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.85/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_foldl__absorb0_0,axiom,
% 0.85/1.10 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.85/1.10 | 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) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_y,V_z,T_a)
% 0.85/1.10 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_x,V_z,T_a)
% 0.85/1.10 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_le__max__iff__disj_2,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.85/1.10 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_le__max__iff__disj_1,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.85/1.10 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_min__max_Ole__supI2_0,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.85/1.10 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_min__max_Ole__supI1_0,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.85/1.10 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_min__max_Ole__supE_1,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_b,V_x,T_a)
% 0.85/1.10 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_min__max_Ole__supE_0,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_lessequals(V_a,V_x,T_a)
% 0.85/1.10 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_le__diff__conv_0,axiom,
% 0.85/1.10 ( c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat)
% 0.85/1.10 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_le__diff__conv_1,axiom,
% 0.85/1.10 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat)
% 0.85/1.10 | ~ c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_zero__less__power_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_less__max__iff__disj_0,axiom,
% 0.85/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.85/1.10 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_mult__Suc__right_0,axiom,
% 0.85/1.10 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_mult__Suc_0,axiom,
% 0.85/1.10 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_split__div_1,axiom,
% 0.85/1.10 ( ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.85/1.10 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.85/1.10 | ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_i)),V_j),V_k,tc_nat)))
% 0.85/1.10 | hBOOL(hAPP(V_P,V_i)) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_Beta_0,axiom,
% 0.85/1.10 ( 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))
% 0.85/1.10 | ~ c_InductTermi_OIT(V_s)
% 0.85/1.10 | ~ 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)) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_MI1_0,axiom,
% 0.85/1.10 ( v_T____ != c_Type_Otype_OFun(V_T1,V_T2)
% 0.85/1.10 | c_InductTermi_OIT(c_Lambda_Osubst(V_t,V_u,V_i))
% 0.85/1.10 | ~ c_Type_Otyping(V_e,V_u,V_T1)
% 0.85/1.10 | ~ c_InductTermi_OIT(V_u)
% 0.85/1.10 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)
% 0.85/1.10 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_MI2_0,axiom,
% 0.85/1.10 ( v_T____ != c_Type_Otype_OFun(V_T1,V_T2)
% 0.85/1.10 | c_InductTermi_OIT(c_Lambda_Osubst(V_t,V_u,V_i))
% 0.85/1.10 | ~ c_Type_Otyping(V_e,V_u,V_T2)
% 0.85/1.10 | ~ c_InductTermi_OIT(V_u)
% 0.85/1.10 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)
% 0.85/1.10 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_not__one__less__zero_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_lift__IT_0,axiom,
% 0.85/1.10 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
% 0.85/1.10 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.85/1.10 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) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_nat__case__Suc_0,axiom,
% 0.85/1.10 c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_nat),T_a) = hAPP(V_f2,V_nat) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.85/1.10 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.85/1.10 | V_dB = V_dB_H ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.85/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.85/1.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_nat__le__add__iff1_0,axiom,
% 0.85/1.10 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat)),V_u)),V_m),V_n,tc_nat)
% 0.85/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat)
% 0.85/1.10 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.85/1.10
% 0.85/1.10 cnf(cls_nat__le__add__iff1_1,axiom,
% 0.85/1.10 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat)
% 0.85/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat)),V_u)),V_m),V_n,tc_nat)
% 0.85/1.10 | ~ c_lessequals(V_j,V_i,tc_nat) ) ).
% 0.85/1.10
% 0.94/1.10 cnf(cls_nat__le__add__iff2_0,axiom,
% 0.94/1.10 ( c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_u)),V_n),tc_nat)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__le__add__iff2_1,axiom,
% 0.94/1.10 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_n),tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_u)),V_n),tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_of__nat__mult_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.10 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mod__mult__self4_0,axiom,
% 0.94/1.10 c_Divides_Odiv__class_Omod(c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)),V_m)),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__less__iff__disj_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.10 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y))
% 0.94/1.10 | V_y = V_z
% 0.94/1.10 | V_w = V_x ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.10 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))
% 0.94/1.10 | V_c = V_d
% 0.94/1.10 | V_a = V_b ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 0.94/1.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),V_c))
% 0.94/1.10 | V_c = V_d
% 0.94/1.10 | V_a = V_b ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 0.94/1.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_y))
% 0.94/1.10 | V_y = V_z
% 0.94/1.10 | V_w = V_x ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__size_0,axiom,
% 0.94/1.10 c_Nat_Osize__class_Osize(V_n,tc_nat) = V_n ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.94/1.10 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) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.94/1.10 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__not__less_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.10 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__not__less_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_lessequals(V_y,V_x,T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__not__le_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | ~ c_lessequals(V_x,V_y,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__not__le_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.10 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_less__le__not__le_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.10 | ~ c_lessequals(V_y,V_x,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_infinite__descent0_0,axiom,
% 0.94/1.10 ( hBOOL(hAPP(V_P,V_n))
% 0.94/1.10 | 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)
% 0.94/1.10 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_subst__Var_1,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.94/1.10 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_of__nat__aux_Osimps_I2_J_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.10 | c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,c_Suc(V_n),V_i,T_a) = c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,V_n,hAPP(V_inc,V_i),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mod__add__left__eq_0,axiom,
% 0.94/1.10 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mod__add__right__eq_0,axiom,
% 0.94/1.10 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | 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) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | 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) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_one__is__add_5,axiom,
% 0.94/1.10 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))) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__strict__increasing2_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.10 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_power__increasing_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.94/1.10 | ~ c_lessequals(V_n,V_N,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__le__mono2_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__le__mono_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__diff__iff_1,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__diff__iff_0,axiom,
% 0.94/1.10 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ 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)
% 0.94/1.10 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__add__0_0,axiom,
% 0.94/1.10 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) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__diff__left_0,axiom,
% 0.94/1.10 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) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_power__mono_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_eq__eqI_1,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.94/1.10 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.94/1.10 | V_xa = V_y ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_eq__eqI_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.94/1.10 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.10 | V_x_H = V_y_H ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_eq__diff__iff_0,axiom,
% 0.94/1.10 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_k,V_m,tc_nat)
% 0.94/1.10 | V_m = V_n ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 0.94/1.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.10 | V_m = V_n ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_one__is__add_3,axiom,
% 0.94/1.10 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.94/1.10 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.10 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_one__is__add_0,axiom,
% 0.94/1.10 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.94/1.10 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.10 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__less__cancel2_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__less__cancel1_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_of__nat__Suc_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.10 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__Suc__shift_0,axiom,
% 0.94/1.10 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)) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__le__cancel2_0,axiom,
% 0.94/1.10 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__le__cancel1_0,axiom,
% 0.94/1.10 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__mult__le__cancel1_0,axiom,
% 0.94/1.10 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__mult__le__cancel1_1,axiom,
% 0.94/1.10 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | c_lessequals(V_b,V_a,T_a)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.10 | ~ c_lessequals(V_b,V_a,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.10 | ~ c_lessequals(V_a,V_b,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.10 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.10 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_one__less__mult_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__cancel2_0,axiom,
% 0.94/1.10 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) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__cancel_0,axiom,
% 0.94/1.10 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) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_zero__less__Suc_0,axiom,
% 0.94/1.10 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.94/1.10 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_dB_Osize_I5_J_0,axiom,
% 0.94/1.10 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))) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oless__supI1_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oless__supI2_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_less__max__iff__disj_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_less__max__iff__disj_2,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_max__less__iff__conj_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_max__less__iff__conj_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oinf__commute_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_one__less__power_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_left__add__mult__distrib_0,axiom,
% 0.94/1.10 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_k)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j)),V_u)),V_k) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_combine__common__factor_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.94/1.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__le__self_0,axiom,
% 0.94/1.10 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.94/1.10 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.94/1.10 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__neg__neg_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.10 | 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)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_power__strict__mono_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.10 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat_Osplit__asm_1,axiom,
% 0.94/1.10 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_xa),t_a)))
% 0.94/1.10 | hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat_Osplit_1,axiom,
% 0.94/1.10 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_nat),t_a)))
% 0.94/1.10 | hBOOL(hAPP(V_P,hAPP(V_f2,V_nat))) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__mult__distrib2_0,axiom,
% 0.94/1.10 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__mult__distrib_0,axiom,
% 0.94/1.10 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)),V_k) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oless__infI1_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oless__infI2_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__less__iff__conj_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__less__iff__conj_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__less__iff__disj_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__less__iff__disj_2,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__commute_0,axiom,
% 0.94/1.10 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) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__nonneg__pos_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.10 | 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)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__pos__nonneg_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.10 | 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)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_comm__monoid__add_Opower__mult_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.10 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_m)),V_n) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__less__mono_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | ~ c_lessequals(V_c,V_a,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__le__0__iff_4,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__le__0__iff_5,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_split__mult__neg__le_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_split__mult__neg__le_1,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_not__square__less__zero_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 0.94/1.10 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)) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_n),tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_n),tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_Suc__lessI_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.94/1.10 | c_Suc(V_m) = V_n
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_not__less__eq__eq_1,axiom,
% 0.94/1.10 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_not__less__eq__eq_0,axiom,
% 0.94/1.10 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.94/1.10 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | V_y = V_z ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | V_m = V_n ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__nonpos__neg_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.10 | 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)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__neg__nonpos_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.10 | 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)
% 0.94/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_div__mult__self2__is__id_0,axiom,
% 0.94/1.10 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_b,T_a) = V_a
% 0.94/1.10 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_div__mult__self1__is__id_0,axiom,
% 0.94/1.10 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),V_b,T_a) = V_a
% 0.94/1.10 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_less__SucE_0,axiom,
% 0.94/1.10 ( V_m = V_n
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_less__antisym_0,axiom,
% 0.94/1.10 ( V_m = V_n
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.94/1.10 ( V_n = V_m
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.10 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mod__mult__cong_0,axiom,
% 0.94/1.10 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a_H),V_b_H),V_c,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__add__assoc_0,axiom,
% 0.94/1.10 ( 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))
% 0.94/1.10 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__add__assoc2_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__eq__1__iff_2,axiom,
% 0.94/1.10 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(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)) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_zero__le__one_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mult__div__cancel_0,axiom,
% 0.94/1.10 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)) = c_HOL_Ominus__class_Ominus(V_m,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_div__mod__equality_H_0,axiom,
% 0.94/1.10 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)),V_n) = c_HOL_Ominus__class_Ominus(V_m,c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a))),V_m) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a))),V_m) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_diff__diff__right_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mod__1_0,axiom,
% 0.94/1.10 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_comm__monoid__add_Opower__one_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.10 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_less__imp__diff__less_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.94/1.10 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.94/1.10 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_apps__preserves__beta_0,axiom,
% 0.94/1.10 ( 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))
% 0.94/1.10 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_lexn_Oinduct_1,axiom,
% 0.94/1.10 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.10 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xlexn__Xinduct__1(V_P))))
% 0.94/1.10 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat_Osize_I4_J_0,axiom,
% 0.94/1.10 c_Nat_Osize__class_Osize(c_Suc(V_nat),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_nat,tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mod__by__1_0,axiom,
% 0.94/1.10 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mod__if_0,axiom,
% 0.94/1.10 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_one__is__add_4,axiom,
% 0.94/1.10 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)) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_less__le__not__le_2,axiom,
% 0.94/1.10 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.10 | c_lessequals(V_y,V_x,T_a)
% 0.94/1.10 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__less__le_1,axiom,
% 0.94/1.10 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_less__not__refl_0,axiom,
% 0.94/1.10 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_order__less__le_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__neq__iff_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_order__less__irrefl_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__imp__diff__is__add_1,axiom,
% 0.94/1.10 ( ~ c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),tc_nat)
% 0.94/1.10 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),V_i,tc_nat) = V_k ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Oinf__idem_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 0.94/1.10 ( 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))
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_beta_0,axiom,
% 0.94/1.10 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))) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__pos__pos_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.10 | 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)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__add1_0,axiom,
% 0.94/1.10 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__add2_0,axiom,
% 0.94/1.10 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__iff__add_1,axiom,
% 0.94/1.10 c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x),tc_nat) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__minus__add__max_0,axiom,
% 0.94/1.10 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) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_not__one__le__zero_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_power__gt1__lemma_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.10 | V_x = V_y ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | V_x = V_y
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__antisym_0,axiom,
% 0.94/1.10 ( V_m = V_n
% 0.94/1.10 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.94/1.10 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__neq__iff_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.10 | V_m = V_n ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__less__cases_0,axiom,
% 0.94/1.10 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.94/1.10 | V_m = V_n
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.94/1.10 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.94/1.10 | V_x = V_y ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_order__eq__iff_2,axiom,
% 0.94/1.10 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.10 | V_x = V_y
% 0.94/1.10 | ~ c_lessequals(V_y,V_x,T_a)
% 0.94/1.10 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__neqE_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.10 | V_x = V_y ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_order__antisym_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.10 | V_x = V_y
% 0.94/1.10 | ~ c_lessequals(V_y,V_x,T_a)
% 0.94/1.10 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_order__antisym__conv_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.10 | V_x = V_y
% 0.94/1.10 | ~ c_lessequals(V_x,V_y,T_a)
% 0.94/1.10 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__less__linear_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.10 | V_x = V_y
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | V_x = V_y
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.10 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_mod__diff__cong_0,axiom,
% 0.94/1.10 ( ~ class_Divides_Oring__div(T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.94/1.10 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.10 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.10 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.10 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_min__max_Osup__idem_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.10 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.94/1.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.94/1.10 | V_dB2 = V_dB2_H ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.94/1.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.94/1.10 | V_dB1 = V_dB1_H ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__strict__mono_0,axiom,
% 0.94/1.10 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.10 | 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)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_add__less__mono_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 0.94/1.10 ( c_lessequals(V_x,V_y,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_nat__less__le_0,axiom,
% 0.94/1.10 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_order__le__less_1,axiom,
% 0.94/1.10 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.10 | c_lessequals(V_x,V_y,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_order__less__imp__le_0,axiom,
% 0.94/1.10 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.10 | c_lessequals(V_x,V_y,T_a)
% 0.94/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | V_rs = V_ss ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.94/1.10 ( 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)
% 0.94/1.10 | V_r = V_s ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.94/1.10 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.94/1.10 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_App_0,axiom,
% 0.94/1.10 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.94/1.10 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.94/1.10 | ~ c_Type_Otyping(V_env,V_s,c_Type_Otype_OFun(V_T,V_U)) ) ).
% 0.94/1.10
% 0.94/1.10 cnf(cls_power__gt1_0,axiom,
% 0.94/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_diff__Suc__diff__eq1_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_of__nat__less__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_of__nat__less__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_lessI_0,axiom,
% 0.94/1.11 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__Suc__eq_2,axiom,
% 0.94/1.11 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__trans__Suc_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__le__cancel__right_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__le__cancel__right_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__le__cancel__left_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__le__cancel__left_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__right__mono_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__left__mono_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__le__mono1_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__add__left__cancel__le_0,axiom,
% 0.94/1.11 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__add__left__cancel__le_1,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__less__one_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__imp__diff__is__add_0,axiom,
% 0.94/1.11 ( ~ c_lessequals(V_i,V_j,tc_nat)
% 0.94/1.11 | V_j = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_i) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__add__diff__inverse_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.94/1.11 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__add__diff__inverse2_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)),V_n) = V_m
% 0.94/1.11 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__mult1__eq_0,axiom,
% 0.94/1.11 c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_a),V_b),V_c,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_a),c_Divides_Odiv__class_Odiv(V_b,V_c,tc_nat))),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,tc_nat)),V_c,tc_nat)) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | V_m = V_n ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.11 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | V_y = V_z ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__imp__eq_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | V_b = V_c ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__left__cancel_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | V_b = V_c ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__right__cancel_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | V_b = V_c ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__less__eq__dividend_0,axiom,
% 0.94/1.11 c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_min__add__distrib__left_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__add__diff_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_lessequals(V_k,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__left__le__one__le_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x),V_x,T_a)
% 0.94/1.11 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__right__le__one__le_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y),V_x,T_a)
% 0.94/1.11 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__diff__eq_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Oring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Opwr__mul_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Omul__d_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Omul__c_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Omul__a_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Omul__1_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Omul__0_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Oadd__c_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Oadd__a_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Oadd__0_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.94/1.11 ( 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)))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__Suc_0,axiom,
% 0.94/1.11 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 0.94/1.11 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | V_r = V_s ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__mult__left__eq_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__mult__right__eq_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__is__1_3,axiom,
% 0.94/1.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.11 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.11 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__is__1_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.11 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.11 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Suc__diff__diff_0,axiom,
% 0.94/1.11 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) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__le__mono_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__less_0,axiom,
% 0.94/1.11 ( c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Suc__mult__le__cancel1_1,axiom,
% 0.94/1.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_n),tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Suc__mult__le__cancel1_0,axiom,
% 0.94/1.11 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_n),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a)
% 0.94/1.11 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a)
% 0.94/1.11 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Lambda_0,axiom,
% 0.94/1.11 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
% 0.94/1.11 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | 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)) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_appR_0,axiom,
% 0.94/1.11 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t))
% 0.94/1.11 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_appL_0,axiom,
% 0.94/1.11 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u))
% 0.94/1.11 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_dB_Osize_I6_J_0,axiom,
% 0.94/1.11 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))) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_min__max_Osup__commute_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.11 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_uIT_0,axiom,
% 0.94/1.11 c_InductTermi_OIT(v_u____) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 0.94/1.11 | V_a = V_b
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.94/1.11 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__Suc__eq_2,axiom,
% 0.94/1.11 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_drop__replicate_0,axiom,
% 0.94/1.11 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) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.11 | 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.94/1.11 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)) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat_Osize_I2_J_0,axiom,
% 0.94/1.11 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))) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.11 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__square_0,axiom,
% 0.94/1.11 c_lessequals(V_m,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_m),tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_subst__lift_0,axiom,
% 0.94/1.11 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_diff__diff__cancel_0,axiom,
% 0.94/1.11 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 0.94/1.11 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.94/1.11 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_lift__preserves__beta_0,axiom,
% 0.94/1.11 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i))
% 0.94/1.11 | ~ c_Lambda_Obeta(V_r,V_s) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__Suc__less_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_min__Suc__Suc_0,axiom,
% 0.94/1.11 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)) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__SucE_0,axiom,
% 0.94/1.11 ( V_m = c_Suc(V_n)
% 0.94/1.11 | c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_not__less__eq_1,axiom,
% 0.94/1.11 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_not__less__eq_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Ogb__semiring__axioms_H_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__mult__distrib2_0,axiom,
% 0.94/1.11 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__mult__distrib_0,axiom,
% 0.94/1.11 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_k) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel2_2,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel1_2,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__mono2_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_i),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_j),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__mono1_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_k),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),V_x) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_gb__semiring_Opwr__Suc_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_n)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_n))
% 0.94/1.11 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel1_1,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel2_1,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__add__one_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__diff__assoc_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__diff__assoc2_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_lessequals(V_k,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_drop__drop_0,axiom,
% 0.94/1.11 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) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__le__imp__le__base_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_lessequals(V_a,V_b,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Suc(V_n)),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__left__idem_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__mod__eq__iff_1,axiom,
% 0.94/1.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_xa)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_xb))
% 0.94/1.11 | c_Divides_Odiv__class_Omod(V_x,V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_y,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.11 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__inject__exp_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m) != hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.94/1.11 | V_m = V_n ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__0_0,axiom,
% 0.94/1.11 ( ~ class_Power_Opower(T_a)
% 0.94/1.11 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__mult__div__cancel1_0,axiom,
% 0.94/1.11 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat) = c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__mult__mult1__if_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__mult__div__cancel__disj_0,axiom,
% 0.94/1.11 c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 0.94/1.11 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)) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Suc(V_q)) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Suc(V_q)) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__add__self2_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__add__self1_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__le__0__iff_3,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__le__0__iff_2,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__le__0__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__le__0__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__pos__neg2_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__pos__neg_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__neg__pos_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_comm__monoid__add_Opower__commutes_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Suc__leD_0,axiom,
% 0.94/1.11 ( c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__SucI_0,axiom,
% 0.94/1.11 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_n__less__m__mult__n_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_n,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_n__less__n__mult__m_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_n,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_m),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Suc__n__not__le__n_0,axiom,
% 0.94/1.11 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__diff__iff_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ 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)
% 0.94/1.11 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__diff__iff_1,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_pos__add__strict_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__mult2__eq_0,axiom,
% 0.94/1.11 c_Divides_Odiv__class_Omod(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),V_c),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Odiv(V_a,V_b,tc_nat),V_c,tc_nat))),c_Divides_Odiv__class_Omod(V_a,V_b,tc_nat)) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_subst__lt_0,axiom,
% 0.94/1.11 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_dB_Osplit_2,axiom,
% 0.94/1.11 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.94/1.11 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.94/1.11 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.94/1.11 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_subst__Var__IT_0,axiom,
% 0.94/1.11 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))
% 0.94/1.11 | ~ c_InductTermi_OIT(V_r) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__strict__increasing__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_y),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__strict__increasing__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_y),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__strict__increasing_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__less__imp__less__exp_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_not__add__less1_0,axiom,
% 0.94/1.11 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_not__add__less2_0,axiom,
% 0.94/1.11 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_of__nat__diff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__less__power__Suc_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__mult2__eq_0,axiom,
% 0.94/1.11 c_Divides_Odiv__class_Odiv(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),V_c),tc_nat) = c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(V_a,V_b,tc_nat),V_c,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__lemma_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),c_Divides_Odiv__class_Omod(V_q,V_c,tc_nat))),V_r),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),V_c),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_r,V_b,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_c,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 0.94/1.11 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__right__mono_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__left__mono_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__mono1_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__if_1,axiom,
% 0.94/1.11 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.94/1.11 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 0.94/1.11 | V_type2 = V_type2_H ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.94/1.11 ( c_Type_Otype_OFun(V_type1,V_type2) != c_Type_Otype_OFun(V_type1_H,V_type2_H)
% 0.94/1.11 | V_type1 = V_type1_H ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.11 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_d))
% 0.94/1.11 | V_c = V_d
% 0.94/1.11 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 0.94/1.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_r),V_c)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_r),V_d))
% 0.94/1.11 | V_c = V_d
% 0.94/1.11 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__div__geq_0,axiom,
% 0.94/1.11 ( 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))
% 0.94/1.11 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__diff__conv_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__diff__conv_1,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Suc__n__not__n_0,axiom,
% 0.94/1.11 c_Suc(V_n) != V_n ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_n__not__Suc__n_0,axiom,
% 0.94/1.11 V_n != c_Suc(V_n) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 0.94/1.11 c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__strict__right__mono_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__less__cancel__right_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__less__cancel__right_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__strict__left__mono_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__less__cancel__left_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__less__cancel__left_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__less__mono1_0,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__induct_0,axiom,
% 0.94/1.11 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.94/1.11 | hBOOL(hAPP(V_P,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(V_P))))
% 0.94/1.11 | ~ hBOOL(hAPP(V_P,V_k)) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_one__le__mult__iff_2,axiom,
% 0.94/1.11 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat)
% 0.94/1.11 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_xt1_I6_J_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.11 | c_lessequals(V_z,V_x,T_a)
% 0.94/1.11 | ~ c_lessequals(V_z,V_y,T_a)
% 0.94/1.11 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_xt1_I7_J_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/1.11 | ~ c_lessequals(V_z,V_y,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_xt1_I8_J_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.94/1.11 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_order__trans_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.11 | c_lessequals(V_x,V_z,T_a)
% 0.94/1.11 | ~ c_lessequals(V_y,V_z,T_a)
% 0.94/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__refl_0,axiom,
% 0.94/1.11 c_lessequals(V_n,V_n,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__trans_0,axiom,
% 0.94/1.11 ( c_lessequals(V_i,V_k,tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_j,V_k,tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_eq__imp__le_0,axiom,
% 0.94/1.11 c_lessequals(V_x,V_x,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_order__eq__iff_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.11 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_order__eq__refl_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.11 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_order__le__less__trans_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.94/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__add1__eq_0,axiom,
% 0.94/1.11 c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_a),V_b),V_c,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Odiv(V_a,V_c,tc_nat)),c_Divides_Odiv__class_Odiv(V_b,V_c,tc_nat))),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Divides_Odiv__class_Omod(V_a,V_c,tc_nat)),c_Divides_Odiv__class_Omod(V_b,V_c,tc_nat)),V_c,tc_nat)) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_max__add__distrib__left_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.94/1.11 | 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_app__Var__IT_0,axiom,
% 0.94/1.11 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i)))
% 0.94/1.11 | ~ c_InductTermi_OIT(V_t) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__inject__base_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)) != hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Suc(V_n))
% 0.94/1.11 | V_a = V_b
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__mult__mult1_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) = c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.94/1.11 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__mult__mult2_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) = c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.94/1.11 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__mult__div__cancel__disj_1,axiom,
% 0.94/1.11 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat) = c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)
% 0.94/1.11 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__le__mono_0,axiom,
% 0.94/1.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_l),tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_k,V_l,tc_nat)
% 0.94/1.11 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__cube_0,axiom,
% 0.94/1.11 c_lessequals(V_m,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_m)),tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__mono_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__mono_H_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.11 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_min__max_Osup__assoc_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.11 | 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.11 | 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__less__two_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__mult__self3_0,axiom,
% 0.94/1.11 c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)),V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__mult__self1_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__mult__self2_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_split__div__lemma_2,axiom,
% 0.94/1.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_Suc(c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat))),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.94/1.11 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) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__add__self1_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a),V_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)),c_HOL_Oone__class_Oone(T_a))
% 0.94/1.11 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__add__self2_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)),c_HOL_Oone__class_Oone(T_a))
% 0.94/1.11 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_abs_0,axiom,
% 0.94/1.11 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t))
% 0.94/1.11 | ~ c_Lambda_Obeta(V_s,V_t) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.11 | 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__1_0,axiom,
% 0.94/1.11 c_Divides_Odiv__class_Odiv(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = V_m ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.11 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_diff__add__inverse2_0,axiom,
% 0.94/1.11 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_diff__add__inverse_0,axiom,
% 0.94/1.11 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__diff__cancel_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__le__imp__le__exp_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_lessequals(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__increasing__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_lessequals(V_x,V_y,tc_nat)
% 0.94/1.11 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_y),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__increasing__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_y),T_a)
% 0.94/1.11 | ~ c_lessequals(V_x,V_y,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__1__mult_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_m),V_n),T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_nat__gcd_Osimps_1,axiom,
% 0.94/1.11 ( c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(V_x,V_y,tc_nat))
% 0.94/1.11 | V_y = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__by__1_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_split__mod_1,axiom,
% 0.94/1.11 ( ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.94/1.11 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.11 | ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_i)),V_j),V_k,tc_nat)))
% 0.94/1.11 | hBOOL(hAPP(V_P,V_j)) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__le__less__mono_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__less__le__mono_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Suc__less__eq_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_Suc__mono_0,axiom,
% 0.94/1.11 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__gr__0_2,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__gr__0_1,axiom,
% 0.94/1.11 ( 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.11 | ~ 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.11 | 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)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_power__eq__0__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.94/1.11 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.11 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.11 | ~ class_Power_Opower(T_a)
% 0.94/1.11 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_field__power__not__zero_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.94/1.11 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__zero__left_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__zero__right_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_one__neq__zero_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.94/1.11 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_no__zero__divisors_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__by__0_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_div__0_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_double__eq__0__iff_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.11 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_diff__self_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_diff__0__right_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_right__minus__eq_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.11 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.11 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.94/1.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__self_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__by__0_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_mod__0_0,axiom,
% 0.94/1.11 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.11 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_double__eq__0__iff_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.94/1.11 | 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) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_zero__neq__one_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.94/1.11 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.11 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_x = V_y ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_right__minus__eq_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_a = V_b ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.94/1.11 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.11 | V_a = V_b ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.94/1.11 | ~ class_Int_Onumber__ring(T_a)
% 0.94/1.11 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_add__0__left_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.94/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_order__less__le__trans_0,axiom,
% 0.94/1.11 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.11 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.94/1.11 | ~ c_lessequals(V_y,V_z,T_a)
% 0.94/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_le__add__right__mono_0,axiom,
% 0.94/1.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.11 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.94/1.11 | ~ c_lessequals(V_c,V_d,T_a)
% 0.94/1.11 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.94/1.11
% 0.94/1.11 cnf(cls_dB_Osplit_1,axiom,
% 0.94/1.12 ( ~ 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)))
% 0.94/1.12 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.94/1.12 ( ~ 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)))
% 0.94/1.12 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.94/1.12 ( 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)
% 0.94/1.12 | V_rs = V_ss ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.94/1.12 ( 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)
% 0.94/1.12 | V_m = V_n ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.94/1.12 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_typing__elims_I3_J_0,axiom,
% 0.94/1.12 ( 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))
% 0.94/1.12 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_min__diff_0,axiom,
% 0.94/1.12 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) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__diff__split_0,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__is__1_5,axiom,
% 0.94/1.12 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)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__idem_0,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mod__eq__0__iff_1,axiom,
% 0.94/1.12 c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_d),V_x),V_d,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_ex__least__nat__le_1,axiom,
% 0.94/1.12 ( ~ hBOOL(hAPP(V_P,V_i))
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_i,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n),tc_nat)
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,V_n))
% 0.94/1.12 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a)
% 0.94/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_le__less__Suc__eq_0,axiom,
% 0.94/1.12 ( V_n = V_m
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.94/1.12 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.94/1.12 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_semiring__div__class_Omod__div__equality_H_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)),V_b)) = V_a ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__le__mono1_0,axiom,
% 0.94/1.12 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_k),tc_nat)
% 0.94/1.12 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__le__mono2_0,axiom,
% 0.94/1.12 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_i),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_j),tc_nat)
% 0.94/1.12 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__le__cancel1_2,axiom,
% 0.94/1.12 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)
% 0.94/1.12 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__le__cancel2_2,axiom,
% 0.94/1.12 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat)
% 0.94/1.12 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_zero__less__diff_0,axiom,
% 0.94/1.12 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.12 | ~ 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) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_zero__less__diff_1,axiom,
% 0.94/1.12 ( 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)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Suc__lessD_0,axiom,
% 0.94/1.12 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_less__SucI_0,axiom,
% 0.94/1.12 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_subst__App_0,axiom,
% 0.94/1.12 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)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Suc__mult__cancel1_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_m) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(V_k)),V_n)
% 0.94/1.12 | V_m = V_n ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Suc__pred_0,axiom,
% 0.94/1.12 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_of__nat__add_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.12 | 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)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_diff__less_0,axiom,
% 0.94/1.12 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.12 | 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) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_le__eqI_0,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.12 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.94/1.12 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_le__eqI_1,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.12 | c_lessequals(V_y,V_x,T_a)
% 0.94/1.12 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_less__eqI_0,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_less__eqI_1,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.94/1.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_power__mult__distrib_0,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.94/1.12 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.12 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__diff__inverse_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_diff__Suc__less_0,axiom,
% 0.94/1.12 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__is__1_1,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.12 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.12 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__is__1_2,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.94/1.12 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.12 | 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) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.12 | 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) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_power__mult_0,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.94/1.12 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mod__div__equality2_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a))),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)) = V_a ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mod__div__equality_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)),V_b)),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)) = V_a ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mod__div__decomp_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | V_a = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Odiv(V_a,V_b,T_a)),V_b)),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_xt1_I11_J_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.12 | V_a = V_b
% 0.94/1.12 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_xt1_I12_J_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.12 | ~ c_lessequals(V_b,V_a,T_a)
% 0.94/1.12 | V_a = V_b ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__less__le_2,axiom,
% 0.94/1.12 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.12 | V_m = V_n
% 0.94/1.12 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_le__eq__less__or__eq_0,axiom,
% 0.94/1.12 ( V_m = V_n
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.12 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_le__neq__implies__less_0,axiom,
% 0.94/1.12 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.94/1.12 | V_m = V_n
% 0.94/1.12 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_order__le__less_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.12 | V_x = V_y
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_order__less__le_2,axiom,
% 0.94/1.12 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.12 | V_x = V_y
% 0.94/1.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_order__le__neq__trans_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.12 | V_a = V_b
% 0.94/1.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_order__neq__le__trans_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.12 | ~ c_lessequals(V_a,V_b,T_a)
% 0.94/1.12 | V_a = V_b ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.12 | V_x = V_y
% 0.94/1.12 | ~ c_lessequals(V_x,V_y,T_a)
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.12 | V_x = V_y
% 0.94/1.12 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.12 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.94/1.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 0.94/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 0.94/1.12 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.12 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 0.94/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_zero__le__square_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.94/1.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a),T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 0.94/1.12 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.12 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_split__mult__pos__le_1,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 0.94/1.12 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.94/1.12 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_split__mult__pos__le_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.94/1.12 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)
% 0.94/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.94/1.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_split__div__lemma_1,axiom,
% 0.94/1.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_Divides_Odiv__class_Odiv(V_m,V_n,tc_nat)),V_m,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osize_I2_J_0,axiom,
% 0.94/1.12 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))) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mod__mult__mult2_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)),V_c) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mod__mult__mult1_0,axiom,
% 0.94/1.12 ( ~ class_Divides_Osemiring__div(T_a)
% 0.94/1.12 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),c_Divides_Odiv__class_Omod(V_a,V_b,T_a)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Suc__le__mono_0,axiom,
% 0.94/1.12 ( c_lessequals(V_n,V_m,tc_nat)
% 0.94/1.12 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Suc__le__mono_1,axiom,
% 0.94/1.12 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 0.94/1.12 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osize_I3_J_0,axiom,
% 0.94/1.12 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))) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__mult__assoc_0,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__mult__distrib_0,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Otimes__class_Otimes(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),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__mult__distrib2_0,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.94/1.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_xt1_I9_J_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Oorder(T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.94/1.12 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__le__linear_0,axiom,
% 0.94/1.12 ( c_lessequals(V_n,V_m,tc_nat)
% 0.94/1.12 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_linorder__linear_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Olinorder(T_a)
% 0.94/1.12 | c_lessequals(V_y,V_x,T_a)
% 0.94/1.12 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_order__less__asym_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_order__less__asym_H_0,axiom,
% 0.94/1.12 ( ~ class_Orderings_Opreorder(T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_comm__monoid__add_Opower__0_0,axiom,
% 0.94/1.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.94/1.12 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_power__0__left_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.94/1.12 | ~ class_Power_Opower(T_a)
% 0.94/1.12 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat_Osize_I3_J_0,axiom,
% 0.94/1.12 c_Nat_Osize__class_Osize(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_split__mod_5,axiom,
% 0.94/1.12 ( ~ hBOOL(hAPP(V_P,V_n))
% 0.94/1.12 | hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_split__mod_0,axiom,
% 0.94/1.12 ( ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.94/1.12 | hBOOL(hAPP(V_P,V_n)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_power_Opower_Opower__0_0,axiom,
% 0.94/1.12 hAPP(hAPP(c_Power_Opower_Opower(V_one,V_times,T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat)) = V_one ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_le__0__eq_1,axiom,
% 0.94/1.12 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__cancel2_1,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__cancel1_1,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_of__nat__aux_Osimps_I1_J_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.12 | c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc,c_HOL_Ozero__class_Ozero(tc_nat),V_i,T_a) = V_i ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_lexn_Oinduct_0,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.12 | hBOOL(hAPP(V_P,v_sko__List__Xlexn__Xinduct__1(V_P)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_zero__induct_1,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(V_P)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,V_k)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_neq0__conv_1,axiom,
% 0.94/1.12 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_liftn__0_0,axiom,
% 0.94/1.12 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_split__div_H_6,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_split__div_5,axiom,
% 0.94/1.12 ( ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.94/1.12 | hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_split__div_0,axiom,
% 0.94/1.12 ( ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Odiv(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.94/1.12 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_gr0I_0,axiom,
% 0.94/1.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.94/1.12 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__rec__0_0,axiom,
% 0.94/1.12 c_Nat_Onat_Onat__rec(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_ex__least__nat__le_2,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(V_P,V_n)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,V_n))
% 0.94/1.12 | hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.94/1.12 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.94/1.12 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.94/1.12 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | V_m = V_n ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_le__0__eq_0,axiom,
% 0.94/1.12 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__induct_0,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,V_n))
% 0.94/1.12 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(V_P)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__is__0_2,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__is__0_1,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__is__0_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__is__0_1,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__is__0_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Nitpick_Onat__case__def_0,axiom,
% 0.94/1.12 c_Nat_Onat_Onat__case(V_x,V_f,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__case__0_0,axiom,
% 0.94/1.12 c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_min__0R_0,axiom,
% 0.94/1.12 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_min__0L_0,axiom,
% 0.94/1.12 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__cancel2_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)
% 0.94/1.12 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | V_m = V_n ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_mult__cancel1_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)
% 0.94/1.12 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.94/1.12 | V_m = V_n ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)
% 0.94/1.12 | V_m = V_n
% 0.94/1.12 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.94/1.12 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_diff__self__eq__0_0,axiom,
% 0.94/1.12 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.94/1.12 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.94/1.12 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__eq__self__zero_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.94/1.12 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_replicate_Oinduct_0,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.12 | hBOOL(hAPP(V_P,v_sko__List__Xreplicate__Xinduct__1(V_P)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.94/1.12 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.94/1.12 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat_Osplit_0,axiom,
% 0.94/1.12 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 0.94/1.12 | hBOOL(hAPP(V_P,V_f1)) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat_Oinducts_0,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.12 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinducts__1(V_P)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat__gcd_Osimps_0,axiom,
% 0.94/1.12 c_Nitpick_Onat__gcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat)) = V_x ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat_Osize_I1_J_0,axiom,
% 0.94/1.12 c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_char__size_0,axiom,
% 0.94/1.12 c_String_Ochar_Ochar__size(V_c) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_add__is__0_2,axiom,
% 0.94/1.12 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) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_nat_Oinduct_0,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.12 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinduct__1(V_P)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_gr__implies__not0_0,axiom,
% 0.94/1.12 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_not__less0_0,axiom,
% 0.94/1.12 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_bot__nat__def_0,axiom,
% 0.94/1.12 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_upt_Oinduct_0,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,V_nat))
% 0.94/1.12 | hBOOL(hAPP(V_P,v_sko__List__Xupt__Xinduct__1(V_P)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_drop__0_0,axiom,
% 0.94/1.12 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_diff__0__eq__0_0,axiom,
% 0.94/1.12 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_infinite__descent0_1,axiom,
% 0.94/1.12 ( hBOOL(hAPP(V_P,V_n))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P)))
% 0.94/1.12 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_le0_0,axiom,
% 0.94/1.12 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_size__char_0,axiom,
% 0.94/1.12 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.94/1.12 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) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_max__0R_0,axiom,
% 0.94/1.12 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_max__0L_0,axiom,
% 0.94/1.12 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.94/1.12 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.94/1.12 | V_x = V_y
% 0.94/1.12 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.94/1.12 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.94/1.12 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_gb__semiring_Opwr__0_0,axiom,
% 0.94/1.12 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1
% 0.94/1.12 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.94/1.12 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.94/1.12 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.94/1.12 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osplit_0,axiom,
% 0.94/1.12 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.94/1.12 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_subst__eq_0,axiom,
% 0.94/1.12 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.94/1.12 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 0.94/1.12 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.94/1.12 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.94/1.12 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Var__IT_0,axiom,
% 0.94/1.12 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.94/1.12 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.94/1.12 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_var__app__type__eq_0,axiom,
% 0.94/1.12 ( V_T = V_U
% 0.94/1.12 | ~ 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)
% 0.94/1.12 | ~ 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) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_subject__reduction_0,axiom,
% 0.94/1.12 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.94/1.12 | ~ c_Lambda_Obeta(V_t,V_t_H)
% 0.94/1.12 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_abs__typeE_0,axiom,
% 0.94/1.12 ( 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))
% 0.94/1.12 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_typing__elims_I3_J_1,axiom,
% 0.94/1.12 ( 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))
% 0.94/1.12 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_shift__gt_0,axiom,
% 0.94/1.12 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.94/1.12 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_uT_0,axiom,
% 0.94/1.12 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_Abs_0,axiom,
% 0.94/1.12 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),c_Type_Otype_OFun(V_T,V_U))
% 0.94/1.12 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_argT_0,axiom,
% 0.94/1.12 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_power__eq__0__iff_2,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.94/1.12 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.12 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.12 | ~ class_Power_Opower(T_a)
% 0.94/1.12 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n) = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.12 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_power__0__left_1,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.94/1.12 | ~ class_Power_Opower(T_a)
% 0.94/1.12 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n) = c_HOL_Ozero__class_Ozero(T_a)
% 0.94/1.12 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_power__eq__0__iff_1,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.94/1.12 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.94/1.12 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.94/1.12 | ~ class_Power_Opower(T_a)
% 0.94/1.12 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_of__nat__0_0,axiom,
% 0.94/1.12 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.94/1.12 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osize_I4_J_0,axiom,
% 0.94/1.12 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osize_I1_J_0,axiom,
% 0.94/1.12 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_shift__commute_0,axiom,
% 0.94/1.12 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) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_lift__type_0,axiom,
% 0.94/1.12 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 0.94/1.12 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_subst__lemma_0,axiom,
% 0.94/1.12 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.94/1.12 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.94/1.12 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.94/1.12 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.94/1.12 | V_nat = V_nat_H ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_shift__eq_0,axiom,
% 0.94/1.12 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.94/1.12 ( hAPP(V_e,V_i) = V_T
% 0.94/1.12 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_typing_OVar_0,axiom,
% 0.94/1.12 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_conjecture_0,negated_conjecture,
% 0.94/1.12 ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.94/1.12 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.94/1.12 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.94/1.12 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.94/1.12 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.94/1.12 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.94/1.12 | ~ class_Orderings_Obot(T_1) ) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.94/1.12 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.94/1.12 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.94/1.12 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.94/1.12 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.94/1.12 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.94/1.12 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.94/1.12 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.94/1.12 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.94/1.12 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.94/1.12 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.94/1.12 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.94/1.12 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.94/1.12 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.94/1.12 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.94/1.12 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.94/1.12 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.94/1.12 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.94/1.12 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.94/1.12 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.94/1.12 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.94/1.12 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.94/1.12 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.94/1.12 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.94/1.12 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.94/1.12 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.94/1.12 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.94/1.12 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.94/1.12 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.94/1.12 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.94/1.12 class_Divides_Osemiring__div(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.94/1.12 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.94/1.12 class_Orderings_Opreorder(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.94/1.12 class_Orderings_Olinorder(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.94/1.12 class_Orderings_Oorder(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.94/1.12 class_Orderings_Obot(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(clsarity_nat__Power_Opower,axiom,
% 0.94/1.12 class_Power_Opower(tc_nat) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.94/1.12 c_fequal(V_x,V_x,T_a) ).
% 0.94/1.12
% 0.94/1.12 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.94/1.12 ( V_X = V_Y
% 0.94/1.12 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.94/1.12
% 0.94/1.12 %------------------------------------------------------------------------------
% 0.94/1.12 %-------------------------------------------
% 0.94/1.12 % Proof found
% 0.94/1.12 % SZS status Theorem for theBenchmark
% 0.94/1.12 % SZS output start Proof
% 0.94/1.13 %ClaNum:1197(EqnAxiom:182)
% 0.94/1.13 %VarNum:6876(SingletonVarNum:2594)
% 0.94/1.13 %MaxLitNum:6
% 0.94/1.13 %MaxfuncDepth:7
% 0.94/1.13 %SharedTerms:79
% 0.94/1.13 %goalClause: 375
% 0.94/1.13 %singleGoalClaCount:1
% 0.94/1.13 [183]P1(a1)
% 0.94/1.13 [184]P32(a1)
% 0.94/1.13 [185]P2(a1)
% 0.94/1.13 [186]P46(a1)
% 0.94/1.13 [187]P48(a1)
% 0.94/1.13 [188]P33(a1)
% 0.94/1.13 [189]P11(a1)
% 0.94/1.13 [190]P12(a1)
% 0.94/1.13 [191]P13(a1)
% 0.94/1.13 [192]P36(a1)
% 0.94/1.13 [193]P22(a1)
% 0.94/1.13 [194]P23(a1)
% 0.94/1.13 [195]P27(a1)
% 0.94/1.13 [196]P29(a1)
% 0.94/1.13 [197]P34(a1)
% 0.94/1.13 [198]P35(a1)
% 0.94/1.13 [199]P14(a1)
% 0.94/1.13 [200]P31(a1)
% 0.94/1.13 [201]P15(a1)
% 0.94/1.13 [202]P47(a1)
% 0.94/1.13 [203]P24(a1)
% 0.94/1.13 [204]P3(a50)
% 0.94/1.13 [205]P57(a1)
% 0.94/1.13 [206]P49(a1)
% 0.94/1.13 [207]P50(a1)
% 0.94/1.13 [208]P30(a1)
% 0.94/1.13 [209]P18(a1)
% 0.94/1.13 [210]P21(a1)
% 0.94/1.13 [211]P38(a1)
% 0.94/1.13 [212]P40(a1)
% 0.94/1.13 [213]P41(a1)
% 0.94/1.13 [214]P51(a1)
% 0.94/1.13 [215]P58(a1)
% 0.94/1.13 [216]P42(a1)
% 0.94/1.13 [217]P43(a1)
% 0.94/1.13 [218]P19(a1)
% 0.94/1.13 [219]P37(a1)
% 0.94/1.13 [229]P6(a51,a50,a52)
% 0.94/1.13 [220]E(f2(a1),f13(a1))
% 0.94/1.13 [333]P6(f38(a51,a55,a52,a48),a54,a53)
% 0.94/1.13 [221]E(f32(f2(a1)),f2(a1))
% 0.94/1.13 [375]~P6(f38(a51,f2(a1),a53,a48),f14(f2(a1)),a53)
% 0.94/1.13 [267]E(f46(f46(f12(a1),f35(f2(a1))),f35(f2(a1))),f35(f2(a1)))
% 0.94/1.13 [234]P8(x2341,x2341,a1)
% 0.94/1.13 [368]~P4(x3681,x3681,a1)
% 0.94/1.13 [222]P3(f14(x2221))
% 0.94/1.13 [224]E(f20(x2241,a1),x2241)
% 0.94/1.13 [225]E(f20(x2251,a44),f2(a1))
% 0.94/1.13 [238]E(f4(x2381,x2381,a1),f2(a1))
% 0.94/1.13 [239]P8(f2(a1),x2391,a1)
% 0.94/1.13 [250]P4(x2501,f35(x2501),a1)
% 0.94/1.13 [254]P4(f2(a1),f35(x2541),a1)
% 0.94/1.13 [355]~E(f35(x3551),x3551)
% 0.94/1.13 [359]~E(f35(x3591),f2(a1))
% 0.94/1.13 [370]~P4(x3701,f2(a1),a1)
% 0.94/1.13 [371]~P8(f35(x3711),x3711,a1)
% 0.94/1.13 [223]E(f17(f14(x2231)),f2(a1))
% 0.94/1.13 [226]E(f31(x2261,f2(a1)),x2261)
% 0.94/1.13 [228]E(f20(f14(x2281),a45),f2(a1))
% 0.94/1.13 [231]E(f46(f46(f3(a1),x2311),f2(a1)),x2311)
% 0.94/1.13 [232]E(f46(f46(f12(a1),x2321),f2(a1)),f2(a1))
% 0.94/1.13 [240]E(f33(x2401,f2(a1),a1),x2401)
% 0.94/1.13 [241]E(f4(x2411,f2(a1),a1),x2411)
% 0.94/1.13 [242]E(f33(f2(a1),x2421,a1),x2421)
% 0.94/1.13 [246]E(f34(x2461,f2(a1),a1),f2(a1))
% 0.94/1.13 [247]E(f34(f2(a1),x2471,a1),f2(a1))
% 0.94/1.13 [248]E(f4(f2(a1),x2481,a1),f2(a1))
% 0.94/1.13 [235]E(f46(f46(f3(a1),f2(a1)),x2351),x2351)
% 0.94/1.13 [237]E(f46(f46(f12(a1),f2(a1)),x2371),f2(a1))
% 0.94/1.13 [256]E(f5(x2561,f35(f2(a1)),a1),x2561)
% 0.94/1.13 [257]E(f10(x2571,f35(f2(a1)),a1),f2(a1))
% 0.94/1.13 [261]E(f46(f46(f3(a1),f32(x2611)),f35(f2(a1))),f32(f35(x2611)))
% 0.94/1.13 [262]E(f46(f46(f3(a1),f17(x2621)),f35(f2(a1))),f17(f15(x2621)))
% 0.94/1.13 [275]E(f46(f46(f3(a1),f20(x2751,a1)),f35(f2(a1))),f20(f35(x2751),a1))
% 0.94/1.13 [276]E(f46(f46(f3(a1),f20(x2761,a45)),f35(f2(a1))),f20(f15(x2761),a45))
% 0.94/1.13 [280]P8(x2801,f46(f46(f12(a1),x2801),x2801),a1)
% 0.94/1.13 [317]P8(x3171,f46(f46(f12(a1),x3171),f46(f46(f12(a1),x3171),x3171)),a1)
% 0.94/1.13 [236]P9(x2361,x2361,x2362)
% 0.94/1.13 [266]P6(x2661,f14(x2662),f46(x2661,x2662))
% 0.94/1.13 [287]P8(f4(x2871,x2872,a1),x2871,a1)
% 0.94/1.13 [288]P8(f10(x2881,x2882,a1),x2881,a1)
% 0.94/1.13 [289]P8(f5(x2891,x2892,a1),x2891,a1)
% 0.94/1.13 [290]P4(f4(x2901,x2902,a1),f35(x2901),a1)
% 0.94/1.13 [361]~E(f14(x3611),f15(x3612))
% 0.94/1.13 [362]~P7(f14(x3621),x3622)
% 0.94/1.13 [244]E(f21(f2(a1),x2441,x2442),x2441)
% 0.94/1.13 [245]E(f23(f2(a1),x2451,x2452),x2451)
% 0.94/1.13 [252]E(f24(f14(x2521),x2522,x2521),x2522)
% 0.94/1.13 [270]E(f46(f46(f12(a1),x2701),f2(a1)),f46(f46(f12(a1),x2702),f2(a1)))
% 0.94/1.13 [274]E(f4(f35(x2741),f35(x2742),a1),f4(x2741,x2742,a1))
% 0.94/1.13 [291]E(f33(f35(x2911),f35(x2912),a1),f35(f33(x2911,x2912,a1)))
% 0.94/1.13 [292]E(f34(f35(x2921),f35(x2922),a1),f35(f34(x2921,x2922,a1)))
% 0.94/1.13 [314]E(f46(f46(f12(a1),x3141),f5(x3142,x3141,a1)),f4(x3142,f10(x3142,x3141,a1),a1))
% 0.94/1.13 [268]E(f46(f46(f3(a1),x2681),x2682),f46(f46(f3(a1),x2682),x2681))
% 0.94/1.13 [269]E(f46(f46(f12(a1),x2691),x2692),f46(f46(f12(a1),x2692),x2691))
% 0.94/1.13 [271]E(f46(f46(f12(a1),f2(a1)),x2711),f46(f46(f12(a1),f2(a1)),x2712))
% 0.94/1.13 [272]E(f46(f46(f3(a1),f35(x2721)),x2722),f46(f46(f3(a1),x2721),f35(x2722)))
% 0.94/1.13 [277]P8(x2771,f46(f46(f3(a1),x2772),x2771),a1)
% 0.94/1.13 [279]P8(x2791,f46(f46(f3(a1),x2791),x2792),a1)
% 0.94/1.13 [297]P7(f46(f46(a16,f15(x2971)),x2972),f24(x2971,x2972,f2(a1)))
% 0.94/1.13 [313]E(f46(f46(f3(a1),f4(x3131,x3132,a1)),x3132),f33(x3131,x3132,a1))
% 0.94/1.13 [318]E(f10(f35(f10(x3181,x3182,a1)),x3182,a1),f10(f35(x3181),x3182,a1))
% 0.94/1.13 [324]E(f46(f46(f3(a1),f46(f46(f3(a1),f17(x3241)),f17(x3242))),f35(f2(a1))),f17(f46(f46(a16,x3241),x3242)))
% 0.94/1.13 [325]E(f46(f46(f12(a1),f5(x3251,x3252,a1)),x3252),f4(x3251,f10(x3251,x3252,a1),a1))
% 0.94/1.13 [336]E(f46(f46(f3(a1),f46(f46(f3(a1),f20(x3361,a45)),f20(x3362,a45))),f35(f2(a1))),f20(f46(f46(a16,x3361),x3362),a45))
% 0.94/1.13 [373]~P4(f46(f46(f3(a1),x3731),x3732),x3732,a1)
% 0.94/1.13 [374]~P4(f46(f46(f3(a1),x3741),x3742),x3741,a1)
% 0.94/1.13 [281]E(f4(f46(f46(f3(a1),x2811),x2812),x2812,a1),x2811)
% 0.94/1.13 [282]E(f4(f46(f46(f3(a1),x2821),x2822),x2821,a1),x2822)
% 0.94/1.13 [283]E(f4(x2831,f46(f46(f3(a1),x2831),x2832),a1),f2(a1))
% 0.94/1.13 [284]E(f10(f46(f46(f12(a1),x2841),x2842),x2841,a1),f2(a1))
% 0.94/1.13 [285]E(f35(f46(f46(f3(a1),x2851),x2852)),f46(f46(f3(a1),x2851),f35(x2852)))
% 0.94/1.13 [286]E(f35(f46(f46(f3(a1),x2861),x2862)),f46(f46(f3(a1),f35(x2861)),x2862))
% 0.94/1.13 [294]E(f46(f46(f3(a1),x2941),f46(f46(f12(a1),x2941),x2942)),f46(f46(f12(a1),x2941),f35(x2942)))
% 0.94/1.13 [295]E(f46(f46(f3(a1),x2951),f46(f46(f12(a1),x2952),x2951)),f46(f46(f12(a1),f35(x2952)),x2951))
% 0.94/1.13 [298]P4(x2981,f35(f46(f46(f3(a1),x2982),x2981)),a1)
% 0.94/1.13 [300]P4(x3001,f35(f46(f46(f3(a1),x3001),x3002)),a1)
% 0.94/1.13 [305]E(f5(f46(f46(f12(a1),f2(a1)),x3051),f46(f46(f12(a1),f2(a1)),x3052),a1),f2(a1))
% 0.94/1.13 [337]E(f4(x3371,f46(f46(f12(a1),f5(x3371,x3372,a1)),x3372),a1),f10(x3371,x3372,a1))
% 0.94/1.13 [265]E(f24(f22(x2651,x2652),x2653,x2652),x2651)
% 0.94/1.13 [273]E(f25(f2(a1),x2731,x2732),f25(f2(a1),x2733,x2732))
% 0.94/1.13 [293]E(f22(f21(x2931,x2932,x2933),x2933),f21(f35(x2931),x2932,x2933))
% 0.94/1.13 [301]E(f27(x3011,x3012,f2(a1),x3013),x3011)
% 0.94/1.13 [303]E(f28(x3031,x3032,f2(a1),x3033),x3031)
% 0.94/1.13 [315]E(f4(f4(x3151,x3152,a1),x3153,a1),f4(f4(x3151,x3153,a1),x3152,a1))
% 0.94/1.13 [319]E(f4(f4(f35(x3191),x3192,a1),f35(x3193),a1),f4(f4(x3191,x3192,a1),x3193,a1))
% 0.94/1.13 [326]E(f34(f4(x3261,x3262,a1),f4(x3263,x3262,a1),a1),f4(f34(x3261,x3263,a1),x3262,a1))
% 0.94/1.13 [363]~E(f15(x3631),f46(f46(a16,x3632),x3633))
% 0.94/1.13 [364]~E(f14(x3641),f46(f46(a16,x3642),x3643))
% 0.94/1.13 [365]~E(f46(f46(a16,x3651),x3652),f15(x3653))
% 0.94/1.13 [366]~E(f46(f46(a16,x3661),x3662),f14(x3663))
% 0.94/1.13 [296]E(f46(f46(a16,f22(x2961,x2962)),f22(x2963,x2962)),f22(f46(f46(a16,x2961),x2963),x2962))
% 0.94/1.13 [307]E(f46(f46(f3(a1),x3071),f46(f46(f3(a1),x3072),x3073)),f46(f46(f3(a1),x3072),f46(f46(f3(a1),x3071),x3073)))
% 0.94/1.13 [308]E(f4(f46(f46(f3(a1),x3081),x3082),f46(f46(f3(a1),x3083),x3082),a1),f4(x3081,x3083,a1))
% 0.94/1.13 [309]E(f4(f46(f46(f3(a1),x3091),x3092),f46(f46(f3(a1),x3091),x3093),a1),f4(x3092,x3093,a1))
% 0.94/1.13 [310]E(f4(x3101,f46(f46(f3(a1),x3102),x3103),a1),f4(f4(x3101,x3102,a1),x3103,a1))
% 0.94/1.13 [311]E(f5(x3111,f46(f46(f12(a1),x3112),x3113),a1),f5(f5(x3111,x3112,a1),x3113,a1))
% 0.94/1.13 [322]E(f4(f46(f46(f12(a1),x3221),x3222),f46(f46(f12(a1),x3221),x3223),a1),f46(f46(f12(a1),x3221),f4(x3222,x3223,a1)))
% 0.94/1.13 [323]E(f10(f46(f46(f12(a1),x3231),x3232),f46(f46(f12(a1),x3231),x3233),a1),f46(f46(f12(a1),x3231),f10(x3232,x3233,a1)))
% 0.94/1.13 [327]E(f46(f46(f3(a1),f46(f46(f12(a1),x3271),x3272)),f46(f46(f12(a1),x3271),x3273)),f46(f46(f12(a1),x3271),f46(f46(f3(a1),x3272),x3273)))
% 0.94/1.13 [330]E(f4(f46(f46(f12(a1),x3301),x3302),f46(f46(f12(a1),x3303),x3302),a1),f46(f46(f12(a1),f4(x3301,x3303,a1)),x3302))
% 0.94/1.13 [331]E(f10(f46(f46(f12(a1),x3311),x3312),f46(f46(f12(a1),x3313),x3312),a1),f46(f46(f12(a1),f10(x3311,x3313,a1)),x3312))
% 0.94/1.13 [347]E(f46(f46(f3(a1),f46(f46(f12(a1),x3471),f5(x3472,x3473,a1))),f5(f46(f46(f12(a1),x3471),f10(x3472,x3473,a1)),x3473,a1)),f5(f46(f46(f12(a1),x3471),x3472),x3473,a1))
% 0.94/1.13 [350]E(f46(f46(f3(a1),f46(f46(f12(a1),x3501),f10(f5(x3502,x3501,a1),x3503,a1))),f10(x3502,x3501,a1)),f10(x3502,f46(f46(f12(a1),x3501),x3503),a1))
% 0.94/1.13 [351]E(f46(f46(f3(a1),f46(f46(f3(a1),f5(x3511,x3512,a1)),f5(x3513,x3512,a1))),f5(f46(f46(f3(a1),f10(x3511,x3512,a1)),f10(x3513,x3512,a1)),x3512,a1)),f5(f46(f46(f3(a1),x3511),x3513),x3512,a1))
% 0.94/1.13 [320]E(f46(f46(f3(a1),f46(f46(f3(a1),x3201),x3202)),x3203),f46(f46(f3(a1),x3201),f46(f46(f3(a1),x3202),x3203)))
% 0.94/1.13 [321]E(f46(f46(f12(a1),f46(f46(f12(a1),x3211),x3212)),x3213),f46(f46(f12(a1),x3211),f46(f46(f12(a1),x3212),x3213)))
% 0.94/1.13 [334]E(f46(f46(f3(a1),f46(f46(f12(a1),x3341),x3342)),f46(f46(f12(a1),x3343),x3342)),f46(f46(f12(a1),f46(f46(f3(a1),x3341),x3343)),x3342))
% 0.94/1.13 [335]E(f10(f46(f46(f3(a1),f46(f46(f12(a1),x3351),x3352)),x3353),x3352,a1),f10(x3353,x3352,a1))
% 0.94/1.13 [342]E(f10(f35(f46(f46(f3(a1),f46(f46(f12(a1),x3421),x3422)),x3423)),x3422,a1),f10(f35(x3423),x3422,a1))
% 0.94/1.13 [304]E(f46(f46(f36(x3041,x3042,x3043),x3044),f2(a1)),x3041)
% 0.94/1.13 [306]E(f28(x3061,x3062,f35(x3063),x3064),f46(x3062,x3063))
% 0.94/1.13 [316]E(f23(x3161,f25(x3162,x3163,x3164),x3164),f25(f4(x3162,x3161,a1),x3163,x3164))
% 0.94/1.13 [332]E(f46(f38(x3321,x3322,x3323,x3324),x3322),x3323)
% 0.94/1.13 [340]E(f46(f46(x3401,x3402),f27(x3403,x3401,x3402,x3404)),f27(x3403,x3401,f35(x3402),x3404))
% 0.94/1.13 [377]~E(f26(a16,f14(x3771),x3772,a45,a45),f26(a16,f15(x3773),x3774,a45,a45))
% 0.94/1.13 [328]E(f46(f46(a16,f21(x3281,x3282,x3283)),f21(x3281,x3284,x3283)),f21(x3281,f46(f46(a16,x3282),x3284),x3283))
% 0.94/1.13 [329]E(f46(f46(a16,f24(x3291,x3292,x3293)),f24(x3294,x3292,x3293)),f24(f46(f46(a16,x3291),x3294),x3292,x3293))
% 0.94/1.13 [376]~E(f46(f46(a16,f15(x3761)),x3762),f26(a16,f14(x3763),x3764,a45,a45))
% 0.94/1.13 [312]E(f23(x3121,f23(x3122,x3123,x3124),x3124),f23(f46(f46(f3(a1),x3121),x3122),x3123,x3124))
% 0.94/1.13 [349]E(f46(f46(f3(a1),f46(f46(f12(a1),x3491),x3492)),f46(f46(f3(a1),f46(f46(f12(a1),x3493),x3492)),x3494)),f46(f46(f3(a1),f46(f46(f12(a1),f46(f46(f3(a1),x3491),x3493)),x3492)),x3494))
% 0.94/1.13 [343]E(f18(x3431,x3432,x3433,f15(x3434),x3435),f46(x3433,x3434))
% 0.94/1.13 [344]E(f18(x3441,x3442,x3443,f14(x3444),x3445),f46(x3441,x3444))
% 0.94/1.13 [345]E(f19(x3451,x3452,x3453,f14(x3454),x3455),f46(x3451,x3454))
% 0.94/1.13 [348]E(f38(f38(x3481,f2(a1),x3482,x3483),f35(x3484),x3485,x3483),f38(f38(x3481,x3484,x3485,x3483),f2(a1),x3482,x3483))
% 0.94/1.13 [352]E(f46(f46(x3521,x3522),f19(x3523,x3524,x3521,x3522,x3525)),f19(x3523,x3524,x3521,f15(x3522),x3525))
% 0.94/1.13 [341]E(f46(f46(x3411,x3412),f46(f46(f36(x3413,x3411,x3414),x3412),x3415)),f46(f46(f36(x3413,x3411,x3414),x3412),f35(x3415)))
% 0.94/1.13 [346]E(f18(x3461,x3462,x3463,f46(f46(a16,x3464),x3465),x3466),f46(f46(x3462,x3464),x3465))
% 0.94/1.13 [353]E(f46(f46(f46(f46(x3531,x3532),x3533),f19(x3534,x3531,x3535,x3532,x3536)),f19(x3534,x3531,x3535,x3533,x3536)),f19(x3534,x3531,x3535,f46(f46(a16,x3532),x3533),x3536))
% 0.94/1.13 [382]~P3(x3821)+P3(f15(x3821))
% 0.94/1.13 [384]~P58(x3841)+~E(f11(x3841),f2(x3841))
% 0.94/1.13 [394]E(x3941,f2(a1))+P4(f2(a1),x3941,a1)
% 0.94/1.13 [433]~P32(x4331)+P4(f2(x4331),f11(x4331),x4331)
% 0.94/1.13 [434]~P32(x4341)+P8(f2(x4341),f11(x4341),x4341)
% 0.94/1.13 [456]E(x4561,f2(a1))+~P8(x4561,f2(a1),a1)
% 0.94/1.13 [490]~P32(x4901)+~P4(f11(x4901),f2(x4901),x4901)
% 0.94/1.13 [491]~P32(x4911)+~P8(f11(x4911),f2(x4911),x4911)
% 0.94/1.13 [1148]~P36(x11481)+P5(f3(x11481),f12(x11481),f37(x11481),f2(x11481),f11(x11481),x11481)
% 0.94/1.13 [385]~P57(x3851)+E(f29(f2(a1),x3851),f2(x3851))
% 0.94/1.13 [442]~P33(x4421)+E(f36(f11(x4421),f12(x4421),x4421),f37(x4421))
% 0.94/1.13 [445]~P26(x4451)+E(f46(f46(f3(x4451),f2(x4451)),f2(x4451)),f2(x4451))
% 0.94/1.13 [479]E(x4791,f2(a1))+~P4(x4791,f35(f2(a1)),a1)
% 0.94/1.13 [639]~P32(x6391)+P4(f2(x6391),f46(f46(f3(x6391),f11(x6391)),f11(x6391)),x6391)
% 0.94/1.13 [968]~P45(x9681)+E(f46(f46(f3(x9681),f46(f46(f12(x9681),f2(x9681)),f2(x9681))),f46(f46(f12(x9681),f2(x9681)),f2(x9681))),f2(x9681))
% 0.94/1.13 [1085]~P45(x10851)+P8(f46(f46(f3(x10851),f46(f46(f12(x10851),f2(x10851)),f2(x10851))),f46(f46(f12(x10851),f2(x10851)),f2(x10851))),f2(x10851),x10851)
% 0.94/1.13 [1096]~P45(x10961)+~P4(f2(x10961),f46(f46(f3(x10961),f46(f46(f12(x10961),f2(x10961)),f2(x10961))),f46(f46(f12(x10961),f2(x10961)),f2(x10961))),x10961)
% 0.94/1.13 [650]~P4(f2(a1),x6501,a1)+E(f35(f4(x6501,f35(f2(a1)),a1)),x6501)
% 0.94/1.13 [396]~P34(x3962)+P8(x3961,x3961,x3962)
% 0.94/1.13 [397]~P35(x3972)+P8(x3971,x3971,x3972)
% 0.94/1.13 [457]~P4(x4572,x4572,x4571)+~P1(x4571)
% 0.94/1.13 [458]~P4(x4582,x4582,x4581)+~P34(x4581)
% 0.94/1.13 [459]~P4(x4592,x4592,x4591)+~P35(x4591)
% 0.94/1.13 [478]P8(x4782,x4781,a1)+P8(x4781,x4782,a1)
% 0.94/1.13 [523]~P4(x5231,x5232,a1)+P8(x5231,x5232,a1)
% 0.94/1.13 [379]E(x3791,x3792)+~E(f35(x3791),f35(x3792))
% 0.94/1.13 [380]E(x3801,x3802)+~E(f15(x3801),f15(x3802))
% 0.94/1.13 [381]E(x3811,x3812)+~E(f14(x3811),f14(x3812))
% 0.94/1.13 [386]~P11(x3862)+P11(f49(x3861,x3862))
% 0.94/1.13 [387]~P34(x3872)+P34(f49(x3871,x3872))
% 0.94/1.13 [388]~P35(x3882)+P35(f49(x3881,x3882))
% 0.94/1.13 [389]~P3(x3891)+P3(f22(x3891,x3892))
% 0.94/1.13 [392]~P7(x3921,x3922)+P7(f15(x3921),f15(x3922))
% 0.94/1.13 [398]~P1(x3982)+E(f33(x3981,x3981,x3982),x3981)
% 0.94/1.13 [399]~P1(x3992)+E(f34(x3991,x3991,x3992),x3991)
% 0.94/1.13 [401]~P25(x4012)+E(f4(x4011,x4011,x4012),f2(x4012))
% 0.94/1.13 [402]~P17(x4022)+E(f4(x4021,x4021,x4022),f2(x4022))
% 0.94/1.13 [403]~P2(x4032)+E(f10(x4031,x4031,x4032),f2(x4032))
% 0.94/1.13 [411]~P11(x4111)+P8(f13(x4111),x4112,x4111)
% 0.94/1.13 [461]~P32(x4611)+P8(f2(x4611),f29(x4612,x4611),x4611)
% 0.94/1.13 [492]P4(x4921,x4922,a1)+P4(x4922,f35(x4921),a1)
% 0.94/1.13 [494]P8(x4941,x4942,a1)+P8(f35(x4942),x4941,a1)
% 0.94/1.13 [524]~P4(x5241,x5242,a1)+E(f10(x5241,x5242,a1),x5241)
% 0.94/1.13 [525]~P8(x5251,x5252,a1)+E(f4(x5251,x5252,a1),f2(a1))
% 0.94/1.13 [526]~P4(x5261,x5262,a1)+E(f5(x5261,x5262,a1),f2(a1))
% 0.94/1.13 [530]P8(x5301,x5302,a1)+~E(f4(x5301,x5302,a1),f2(a1))
% 0.94/1.13 [531]~P4(x5311,x5312,a1)+P4(x5311,f35(x5312),a1)
% 0.94/1.13 [532]~P8(x5321,x5322,a1)+P4(x5321,f35(x5322),a1)
% 0.94/1.13 [534]~P8(x5341,x5342,a1)+P8(x5341,f35(x5342),a1)
% 0.94/1.13 [536]~P4(x5361,x5362,a1)+P8(f35(x5361),x5362,a1)
% 0.94/1.13 [537]~P32(x5371)+~P4(f29(x5372,x5371),f2(x5371),x5371)
% 0.94/1.13 [538]P8(x5381,x5382,a1)+~P4(x5381,f35(x5382),a1)
% 0.94/1.13 [539]P4(x5391,x5392,a1)+~P4(f35(x5391),x5392,a1)
% 0.94/1.13 [541]P4(x5411,x5412,a1)+~P8(f35(x5411),x5412,a1)
% 0.94/1.13 [542]P8(x5421,x5422,a1)+~P8(f35(x5421),x5422,a1)
% 0.94/1.13 [559]~P4(x5591,x5592,a1)+P4(f35(x5591),f35(x5592),a1)
% 0.94/1.13 [560]~P8(x5601,x5602,a1)+P8(f35(x5601),f35(x5602),a1)
% 0.94/1.13 [579]P4(x5791,x5792,a1)+~P4(f35(x5791),f35(x5792),a1)
% 0.94/1.13 [580]P8(x5801,x5802,a1)+~P8(f35(x5801),f35(x5802),a1)
% 0.94/1.13 [604]~P4(x6041,x6042,a1)+~P4(x6042,f35(x6041),a1)
% 0.94/1.13 [605]~P8(x6051,x6052,a1)+~P8(f35(x6052),x6051,a1)
% 0.94/1.13 [685]~P4(x6852,x6851,a1)+P4(f2(a1),f4(x6851,x6852,a1),a1)
% 0.94/1.13 [686]P4(f10(x6861,x6862,a1),x6862,a1)+~P4(f2(a1),x6862,a1)
% 0.94/1.13 [687]P8(f10(x6871,x6872,a1),x6872,a1)+~P4(f2(a1),x6872,a1)
% 0.94/1.13 [738]P4(x7381,x7382,a1)+~P4(f2(a1),f4(x7382,x7381,a1),a1)
% 0.94/1.13 [404]~P13(x4041)+E(f46(f46(f3(x4041),x4042),f2(x4041)),x4042)
% 0.94/1.13 [405]~P36(x4051)+E(f46(f46(f3(x4051),x4052),f2(x4051)),x4052)
% 0.94/1.13 [406]~P24(x4061)+E(f46(f46(f3(x4061),x4062),f2(x4061)),x4062)
% 0.94/1.13 [407]~P36(x4071)+E(f46(f46(f12(x4071),x4072),f11(x4071)),x4072)
% 0.94/1.13 [408]~P23(x4081)+E(f46(f46(f12(x4081),x4082),f11(x4081)),x4082)
% 0.94/1.13 [409]~P33(x4091)+E(f46(f46(f37(x4091),x4092),f2(a1)),f11(x4091))
% 0.94/1.13 [410]~P36(x4101)+E(f46(f46(f37(x4101),x4102),f2(a1)),f11(x4101))
% 0.94/1.13 [412]~P25(x4122)+E(f4(x4121,f2(x4122),x4122),x4121)
% 0.94/1.13 [413]~P2(x4132)+E(f10(x4131,f2(x4132),x4132),x4131)
% 0.94/1.13 [414]~P2(x4142)+E(f5(x4141,f11(x4142),x4142),x4141)
% 0.94/1.13 [415]~P36(x4151)+E(f46(f46(f12(x4151),x4152),f2(x4151)),f2(x4151))
% 0.94/1.13 [416]~P43(x4161)+E(f46(f46(f12(x4161),x4162),f2(x4161)),f2(x4161))
% 0.94/1.13 [417]~P53(x4171)+E(f46(f46(f12(x4171),x4172),f2(x4171)),f2(x4171))
% 0.94/1.13 [419]~P2(x4192)+E(f10(x4191,f11(x4192),x4192),f2(x4192))
% 0.94/1.13 [420]~P2(x4202)+E(f5(x4201,f2(x4202),x4202),f2(x4202))
% 0.94/1.13 [421]~P2(x4211)+E(f10(f2(x4211),x4212,x4211),f2(x4211))
% 0.94/1.13 [422]~P2(x4221)+E(f5(f2(x4221),x4222,x4221),f2(x4221))
% 0.94/1.13 [462]~P3(x4621)+P3(f46(f46(a16,x4621),f14(x4622)))
% 0.94/1.13 [480]~P4(x4801,x4802,a1)+E(f22(f14(x4801),x4802),f14(x4801))
% 0.94/1.13 [503]~P57(x5031)+E(f46(f46(f3(x5031),f11(x5031)),f29(x5032,x5031)),f29(f35(x5032),x5031))
% 0.94/1.13 [521]E(x5211,f2(a1))+E(f31(x5211,f10(x5212,x5211,a1)),f31(x5212,x5211))
% 0.94/1.13 [602]~P32(x6022)+P4(x6021,f46(f46(f3(x6022),x6021),f11(x6022)),x6022)
% 0.94/1.13 [638]P4(x6382,x6381,a1)+E(f46(f46(f3(a1),x6381),f4(x6382,x6381,a1)),x6382)
% 0.94/1.13 [668]~E(f35(f10(x6681,x6682,a1)),x6682)+E(f10(f35(x6681),x6682,a1),f2(a1))
% 0.94/1.13 [677]~P8(x6771,x6772,a1)+E(f46(f46(f3(a1),x6771),f4(x6772,x6771,a1)),x6772)
% 0.94/1.13 [684]~P8(x6842,x6841,a1)+E(f4(x6841,f4(x6841,x6842,a1),a1),x6842)
% 0.94/1.13 [689]~P8(x6892,x6891,a1)+E(f35(f4(x6891,x6892,a1)),f4(f35(x6891),x6892,a1))
% 0.94/1.13 [707]~P4(f2(a1),x7071,a1)+P4(f4(x7071,f35(x7072),a1),x7071,a1)
% 0.94/1.13 [711]P4(x7111,x7112,a1)+E(f10(f4(x7111,x7112,a1),x7112,a1),f10(x7111,x7112,a1))
% 0.94/1.13 [723]E(f35(f10(x7231,x7232,a1)),x7232)+E(f35(f10(x7231,x7232,a1)),f10(f35(x7231),x7232,a1))
% 0.94/1.13 [736]~P8(x7362,x7361,a1)+E(f10(f4(x7361,x7362,a1),x7362,a1),f10(x7361,x7362,a1))
% 0.94/1.13 [931]~P4(f2(a1),x9311,a1)+P8(f46(f46(f12(a1),x9311),f5(x9312,x9311,a1)),x9312,a1)
% 0.94/1.13 [395]~P20(x3951)+E(f46(f46(f12(x3951),x3952),x3952),x3952)
% 0.94/1.13 [423]~P13(x4231)+E(f46(f46(f3(x4231),f2(x4231)),x4232),x4232)
% 0.94/1.13 [425]~P36(x4251)+E(f46(f46(f3(x4251),f2(x4251)),x4252),x4252)
% 0.94/1.13 [426]~P24(x4261)+E(f46(f46(f3(x4261),f2(x4261)),x4262),x4262)
% 0.94/1.13 [428]~P36(x4281)+E(f46(f46(f12(x4281),f11(x4281)),x4282),x4282)
% 0.94/1.13 [429]~P22(x4291)+E(f46(f46(f12(x4291),f11(x4291)),x4292),x4292)
% 0.94/1.13 [430]~P23(x4301)+E(f46(f46(f12(x4301),f11(x4301)),x4302),x4302)
% 0.94/1.13 [435]~P23(x4351)+E(f46(f46(f37(x4351),f11(x4351)),x4352),f11(x4351))
% 0.94/1.13 [437]~P36(x4371)+E(f46(f46(f12(x4371),f2(x4371)),x4372),f2(x4371))
% 0.94/1.13 [438]~P43(x4381)+E(f46(f46(f12(x4381),f2(x4381)),x4382),f2(x4381))
% 0.94/1.13 [439]~P53(x4391)+E(f46(f46(f12(x4391),f2(x4391)),x4392),f2(x4391))
% 0.94/1.13 [441]E(x4411,f2(a1))+~E(f46(f46(f3(a1),x4412),x4411),x4412)
% 0.94/1.13 [443]E(x4431,f2(a1))+~E(f46(f46(f3(a1),x4432),x4431),f2(a1))
% 0.94/1.13 [444]E(x4441,f2(a1))+~E(f46(f46(f3(a1),x4441),x4442),f2(a1))
% 0.94/1.13 [454]E(x4541,f35(f2(a1)))+~E(f46(f46(f12(a1),x4542),x4541),f35(f2(a1)))
% 0.94/1.13 [455]E(x4551,f35(f2(a1)))+~E(f46(f46(f12(a1),x4551),x4552),f35(f2(a1)))
% 0.94/1.13 [594]~P45(x5941)+P8(f2(x5941),f46(f46(f12(x5941),x5942),x5942),x5941)
% 0.94/1.13 [712]~P45(x7121)+~P4(f46(f46(f12(x7121),x7122),x7122),f2(x7121),x7121)
% 0.94/1.13 [729]P4(f2(a1),x7291,a1)+~P4(f2(a1),f46(f46(f12(a1),x7292),x7291),a1)
% 0.94/1.13 [730]P4(f2(a1),x7301,a1)+~P4(f2(a1),f46(f46(f12(a1),x7301),x7302),a1)
% 0.94/1.13 [737]~P59(f46(x7371,x7372))+P59(f46(x7371,f10(x7372,f2(a1),a1)))
% 0.94/1.13 [740]~P59(f46(x7401,f2(a1)))+P59(f46(x7401,f5(x7402,f2(a1),a1)))
% 0.94/1.13 [741]P8(f35(f2(a1)),x7411,a1)+~P8(f35(f2(a1)),f46(f46(f12(a1),x7412),x7411),a1)
% 0.94/1.13 [742]P8(f35(f2(a1)),x7421,a1)+~P8(f35(f2(a1)),f46(f46(f12(a1),x7421),x7422),a1)
% 0.94/1.13 [786]~P13(x7861)+E(f46(f46(f36(f2(x7861),f3(x7861),x7861),f2(x7861)),x7862),f2(x7861))
% 0.94/1.13 [796]~P8(x7962,x7961,a1)+E(f46(f46(f3(a1),f4(x7961,x7962,a1)),x7962),x7961)
% 0.94/1.13 [914]P59(f46(x9141,x9142))+~P59(f46(x9141,f10(x9142,f2(a1),a1)))
% 0.94/1.13 [918]P59(f46(x9181,f2(a1)))+~P59(f46(x9181,f5(x9182,f2(a1),a1)))
% 0.94/1.13 [1051]~P4(f2(a1),x10512,a1)+P4(x10511,f46(f46(f12(a1),x10512),f35(f5(x10511,x10512,a1))),a1)
% 0.94/1.13 [666]~P4(f2(a1),x6662,a1)+E(f5(f46(f46(f12(a1),x6661),x6662),x6662,a1),x6661)
% 0.94/1.13 [667]~P4(f2(a1),x6671,a1)+E(f5(f46(f46(f12(a1),x6671),x6672),x6671,a1),x6672)
% 0.94/1.13 [879]~P36(x8791)+E(f46(f46(f3(x8791),x8792),x8792),f46(f46(f12(x8791),f46(f46(f3(x8791),f11(x8791)),f11(x8791))),x8792))
% 0.94/1.13 [449]E(x4491,x4492)+~P9(x4491,x4492,x4493)
% 0.94/1.13 [450]~P7(x4501,x4503)+P7(f22(x4501,x4502),f22(x4503,x4502))
% 0.94/1.13 [484]~P6(x4841,f14(x4842),x4843)+E(f46(x4841,x4842),x4843)
% 0.94/1.13 [496]~P1(x4963)+E(f33(x4961,x4962,x4963),f33(x4962,x4961,x4963))
% 0.94/1.13 [497]~P1(x4973)+E(f34(x4971,x4972,x4973),f34(x4972,x4971,x4973))
% 0.94/1.13 [587]~P1(x5873)+P8(x5871,f33(x5872,x5871,x5873),x5873)
% 0.94/1.13 [588]~P1(x5883)+P8(x5881,f33(x5881,x5882,x5883),x5883)
% 0.94/1.13 [589]~P1(x5893)+P8(f34(x5891,x5892,x5893),x5892,x5893)
% 0.94/1.13 [590]~P1(x5903)+P8(f34(x5901,x5902,x5903),x5901,x5903)
% 0.94/1.13 [681]~P4(x6811,x6813,a1)+P4(f4(x6811,x6812,a1),x6813,a1)
% 0.94/1.13 [807]~P8(x8071,x8073,a1)+P8(f4(x8071,x8072,a1),f4(x8073,x8072,a1),a1)
% 0.94/1.13 [808]~P8(x8083,x8082,a1)+P8(f4(x8081,x8082,a1),f4(x8081,x8083,a1),a1)
% 0.94/1.13 [809]~P8(x8091,x8093,a1)+P8(f5(x8091,x8092,a1),f5(x8093,x8092,a1),a1)
% 0.94/1.13 [1105]E(x11051,f15(x11052))+~E(f26(a16,x11051,x11053,a45,a45),f15(x11052))
% 0.94/1.13 [1106]E(f15(x11061),x11062)+~E(f15(x11061),f26(a16,x11062,x11063,a45,a45))
% 0.94/1.13 [1107]E(f14(x11071),x11072)+~E(f14(x11071),f26(a16,x11072,x11073,a45,a45))
% 0.94/1.13 [1128]E(x11281,x11282)+~E(f26(a16,x11281,x11283,a45,a45),f26(a16,x11282,x11283,a45,a45))
% 0.94/1.13 [1146]~P7(x11461,x11463)+P7(f26(a16,x11461,x11462,a45,a45),f26(a16,x11463,x11462,a45,a45))
% 0.94/1.13 [514]~P3(x5141)+P3(f24(x5141,f14(x5142),x5143))
% 0.94/1.13 [548]~P4(x5482,x5483,a1)+E(f21(x5481,f14(x5482),x5483),f14(x5482))
% 0.94/1.13 [549]~P4(x5491,x5493,a1)+E(f24(f14(x5491),x5492,x5493),f14(x5491))
% 0.94/1.13 [591]~P1(x5913)+E(f33(x5911,f34(x5911,x5912,x5913),x5913),x5911)
% 0.94/1.13 [592]~P1(x5923)+E(f34(x5921,f33(x5921,x5922,x5923),x5923),x5921)
% 0.94/1.13 [597]~P2(x5973)+E(f5(f10(x5971,x5972,x5973),x5972,x5973),f2(x5973))
% 0.94/1.13 [616]~P7(x6161,x6163)+P7(f46(f46(a16,x6161),x6162),f46(f46(a16,x6163),x6162))
% 0.94/1.13 [617]~P7(x6172,x6173)+P7(f46(f46(a16,x6171),x6172),f46(f46(a16,x6171),x6173))
% 0.94/1.13 [651]~P1(x6513)+E(f33(x6511,f33(x6511,x6512,x6513),x6513),f33(x6511,x6512,x6513))
% 0.94/1.13 [652]~P1(x6523)+E(f34(x6521,f34(x6521,x6522,x6523),x6523),f34(x6521,x6522,x6523))
% 0.94/1.13 [653]~P2(x6533)+E(f10(f10(x6531,x6532,x6533),x6532,x6533),f10(x6531,x6532,x6533))
% 0.94/1.13 [708]~P57(x7083)+E(f30(x7081,f2(a1),x7082,x7083),x7082)
% 0.94/1.13 [778]~P6(x7782,f15(x7783),x7781)+E(f39(f40(x7781,x7782,x7783),f43(x7781,x7782,x7783)),x7781)
% 0.94/1.13 [1056]~P6(x10561,f15(x10562),x10563)+P6(f38(x10561,f2(a1),f41(x10561,x10562),a48),x10562,f42(x10561,x10562))
% 0.94/1.13 [1071]~P2(x10711)+E(f46(f46(f3(x10711),f46(f46(f12(x10711),x10712),f5(x10713,x10712,x10711))),f10(x10713,x10712,x10711)),x10713)
% 0.94/1.13 [1079]~P6(x10791,f15(x10793),x10792)+P6(f38(x10791,f2(a1),f40(x10792,x10791,x10793),a48),x10793,f43(x10792,x10791,x10793))
% 0.94/1.13 [1092]~P2(x10921)+E(f46(f46(f3(x10921),f46(f46(f12(x10921),f5(x10922,x10923,x10921)),x10923)),f10(x10922,x10923,x10921)),x10922)
% 0.94/1.13 [485]~P13(x4851)+E(f46(f46(f3(x4851),x4852),x4853),f46(f46(f3(x4851),x4853),x4852))
% 0.94/1.13 [487]~P36(x4871)+E(f46(f46(f3(x4871),x4872),x4873),f46(f46(f3(x4871),x4873),x4872))
% 0.94/1.13 [489]~P36(x4891)+E(f46(f46(f12(x4891),x4892),x4893),f46(f46(f12(x4891),x4893),x4892))
% 0.94/1.13 [544]E(x5441,x5442)+~E(f46(f46(f3(a1),x5443),x5441),f46(f46(f3(a1),x5443),x5442))
% 0.94/1.13 [545]E(x5451,x5452)+~E(f46(f46(f3(a1),x5451),x5453),f46(f46(f3(a1),x5452),x5453))
% 0.94/1.13 [625]E(x6251,x6252)+~E(f46(f46(f12(a1),f35(x6253)),x6251),f46(f46(f12(a1),f35(x6253)),x6252))
% 0.94/1.13 [655]~P4(x6551,x6553,a1)+P4(x6551,f46(f46(f3(a1),x6552),x6553),a1)
% 0.94/1.13 [657]~P4(x6571,x6572,a1)+P4(x6571,f46(f46(f3(a1),x6572),x6573),a1)
% 0.94/1.13 [659]~P8(x6591,x6593,a1)+P8(x6591,f46(f46(f3(a1),x6592),x6593),a1)
% 0.94/1.13 [661]~P8(x6611,x6612,a1)+P8(x6611,f46(f46(f3(a1),x6612),x6613),a1)
% 0.94/1.13 [722]~P25(x7221)+E(f46(f46(f3(x7221),f4(x7222,x7223,x7221)),x7223),x7222)
% 0.94/1.13 [725]P4(x7251,x7252,a1)+~P4(f46(f46(f3(a1),x7251),x7253),x7252,a1)
% 0.94/1.13 [726]P8(x7261,x7262,a1)+~P8(f46(f46(f3(a1),x7263),x7261),x7262,a1)
% 0.94/1.13 [727]P8(x7271,x7272,a1)+~P8(f46(f46(f3(a1),x7271),x7273),x7272,a1)
% 0.94/1.13 [732]P4(f2(a1),x7321,a1)+P8(f46(f46(f12(a1),x7322),x7321),f46(f46(f12(a1),x7323),x7321),a1)
% 0.94/1.13 [733]P4(f2(a1),x7331,a1)+P8(f46(f46(f12(a1),x7331),x7332),f46(f46(f12(a1),x7331),x7333),a1)
% 0.94/1.13 [762]~P4(x7621,x7623,a1)+P4(f46(f46(f3(a1),x7621),x7622),f46(f46(f3(a1),x7623),x7622),a1)
% 0.94/1.13 [763]~P4(x7632,x7633,a1)+P4(f46(f46(f3(a1),x7631),x7632),f46(f46(f3(a1),x7631),x7633),a1)
% 0.94/1.13 [764]~P8(x7641,x7643,a1)+P8(f46(f46(f3(a1),x7641),x7642),f46(f46(f3(a1),x7643),x7642),a1)
% 0.94/1.13 [765]~P8(x7652,x7653,a1)+P8(f46(f46(f3(a1),x7651),x7652),f46(f46(f3(a1),x7651),x7653),a1)
% 0.94/1.13 [767]~P8(x7671,x7673,a1)+P8(f46(f46(f12(a1),x7671),x7672),f46(f46(f12(a1),x7673),x7672),a1)
% 0.94/1.13 [769]~P8(x7692,x7693,a1)+P8(f46(f46(f12(a1),x7691),x7692),f46(f46(f12(a1),x7691),x7693),a1)
% 0.94/1.13 [855]~P4(x8552,x8553,a1)+P4(f46(f46(f12(a1),f35(x8551)),x8552),f46(f46(f12(a1),f35(x8551)),x8553),a1)
% 0.94/1.13 [866]P4(x8661,f4(x8662,x8663,a1),a1)+~P4(f46(f46(f3(a1),x8661),x8663),x8662,a1)
% 0.94/1.13 [867]P8(f4(x8671,x8672,a1),x8673,a1)+~P8(x8671,f46(f46(f3(a1),x8673),x8672),a1)
% 0.94/1.13 [880]~P8(f4(x8801,x8803,a1),x8802,a1)+P8(x8801,f46(f46(f3(a1),x8802),x8803),a1)
% 0.94/1.13 [881]~P4(x8811,f4(x8813,x8812,a1),a1)+P4(f46(f46(f3(a1),x8811),x8812),x8813,a1)
% 0.94/1.13 [903]P4(x9031,x9032,a1)+~P4(f46(f46(f3(a1),x9033),x9031),f46(f46(f3(a1),x9033),x9032),a1)
% 0.94/1.13 [904]P4(x9041,x9042,a1)+~P4(f46(f46(f12(a1),x9043),x9041),f46(f46(f12(a1),x9043),x9042),a1)
% 0.94/1.13 [905]P4(x9051,x9052,a1)+~P4(f46(f46(f12(a1),x9051),x9053),f46(f46(f12(a1),x9052),x9053),a1)
% 0.94/1.13 [906]P8(x9061,x9062,a1)+~P8(f46(f46(f3(a1),x9063),x9061),f46(f46(f3(a1),x9063),x9062),a1)
% 0.94/1.13 [912]P4(f2(a1),x9121,a1)+~P4(f46(f46(f12(a1),x9122),x9121),f46(f46(f12(a1),x9123),x9121),a1)
% 0.94/1.13 [913]P4(f2(a1),x9131,a1)+~P4(f46(f46(f12(a1),x9131),x9132),f46(f46(f12(a1),x9131),x9133),a1)
% 0.94/1.13 [974]P8(x9741,x9742,a1)+~P8(f46(f46(f12(a1),f35(x9743)),x9741),f46(f46(f12(a1),f35(x9743)),x9742),a1)
% 0.94/1.13 [976]~P8(x9762,x9763,a1)+E(f4(f46(f46(f3(a1),x9761),x9762),f35(x9763),a1),f4(x9761,f35(f4(x9763,x9762,a1)),a1))
% 0.94/1.13 [1099]P59(f46(x10991,x10992))+~P59(f46(x10991,f28(x10992,x10993,f2(a1),a47)))
% 0.94/1.13 [1123]~P24(x11231)+E(f46(f46(f3(x11231),x11232),f26(f3(x11231),f2(x11231),x11233,x11231,x11231)),f26(f3(x11231),x11232,x11233,x11231,x11231))
% 0.94/1.13 [583]~P25(x5831)+E(f4(f46(f46(f3(x5831),x5832),x5833),x5833,x5831),x5832)
% 0.94/1.13 [585]~P2(x5851)+E(f10(f46(f46(f12(x5851),x5852),x5853),x5853,x5851),f2(x5851))
% 0.94/1.13 [586]~P2(x5861)+E(f10(f46(f46(f12(x5861),x5862),x5863),x5862,x5861),f2(x5861))
% 0.94/1.13 [640]P4(x6402,x6403,a1)+E(f21(x6401,f14(x6402),x6403),f14(f46(f46(f3(a1),x6402),x6401)))
% 0.94/1.13 [642]~P20(x6421)+E(f46(f46(f12(x6421),x6422),f46(f46(f12(x6421),x6422),x6423)),f46(f46(f12(x6421),x6422),x6423))
% 0.94/1.13 [643]~P2(x6431)+E(f10(f46(f46(f3(x6431),x6432),x6433),x6433,x6431),f10(x6432,x6433,x6431))
% 0.94/1.13 [644]~P2(x6441)+E(f10(f46(f46(f3(x6441),x6442),x6443),x6442,x6441),f10(x6443,x6442,x6441))
% 0.94/1.13 [645]~P33(x6451)+E(f46(f46(f12(x6451),x6452),f46(f46(f37(x6451),x6452),x6453)),f46(f46(f37(x6451),x6452),f35(x6453)))
% 0.94/1.13 [648]~P36(x6481)+E(f46(f46(f12(x6481),x6482),f46(f46(f37(x6481),x6482),x6483)),f46(f46(f37(x6481),x6482),f35(x6483)))
% 0.94/1.13 [682]~P57(x6821)+E(f46(f46(f3(x6821),f29(x6822,x6821)),f29(x6823,x6821)),f29(f46(f46(f3(a1),x6822),x6823),x6821))
% 0.94/1.13 [683]~P57(x6831)+E(f46(f46(f12(x6831),f29(x6832,x6831)),f29(x6833,x6831)),f29(f46(f46(f12(a1),x6832),x6833),x6831))
% 0.94/1.13 [731]E(x7311,f2(a1))+E(f5(f46(f46(f12(a1),x7311),x7312),f46(f46(f12(a1),x7311),x7313),a1),f5(x7312,x7313,a1))
% 0.94/1.13 [770]~P2(x7701)+E(f5(f46(f46(f12(x7701),f2(x7701)),x7702),f46(f46(f12(x7701),f2(x7701)),x7703),x7701),f2(x7701))
% 0.94/1.13 [863]~P4(f2(a1),x8631,a1)+E(f5(f46(f46(f12(a1),x8631),x8632),f46(f46(f12(a1),x8631),x8633),a1),f5(x8632,x8633,a1))
% 0.94/1.13 [865]~P8(x8653,x8652,a1)+E(f4(f46(f46(f3(a1),x8651),x8652),x8653,a1),f46(f46(f3(a1),x8651),f4(x8652,x8653,a1)))
% 0.94/1.13 [868]~P8(x8682,x8683,a1)+E(f4(f46(f46(f3(a1),x8681),x8682),x8683,a1),f4(x8681,f4(x8683,x8682,a1),a1))
% 0.94/1.13 [909]~P8(x9093,x9092,a1)+P8(x9091,f4(f46(f46(f3(a1),x9092),x9091),x9093,a1),a1)
% 0.94/1.13 [934]~P36(x9341)+E(f46(f46(f3(x9341),x9342),f46(f46(f12(x9341),x9343),x9342)),f46(f46(f12(x9341),f46(f46(f3(x9341),x9343),f11(x9341))),x9342))
% 0.94/1.13 [970]~P8(x9703,x9701,a1)+E(f4(f46(f46(f3(a1),x9701),x9702),x9703,a1),f46(f46(f3(a1),f4(x9701,x9703,a1)),x9702))
% 0.94/1.13 [977]~P8(x9772,x9771,a1)+E(f4(f35(x9771),f46(f46(f3(a1),x9772),x9773),a1),f4(f35(f4(x9771,x9772,a1)),x9773,a1))
% 0.94/1.13 [1068]~P45(x10681)+P8(f2(x10681),f46(f46(f3(x10681),f46(f46(f12(x10681),x10682),x10682)),f46(f46(f12(x10681),x10683),x10683)),x10681)
% 0.94/1.13 [1072]~P2(x10721)+E(f46(f46(f3(x10721),f10(x10722,x10723,x10721)),f46(f46(f12(x10721),f5(x10722,x10723,x10721)),x10723)),x10722)
% 0.94/1.13 [1093]~P45(x10931)+~P4(f46(f46(f3(x10931),f46(f46(f12(x10931),x10932),x10932)),f46(f46(f12(x10931),x10933),x10933)),f2(x10931),x10931)
% 0.94/1.13 [775]~P23(x7751)+E(f46(f46(f12(x7751),f46(f46(f37(x7751),x7752),x7753)),x7752),f46(f46(f37(x7751),x7752),f35(x7753)))
% 0.94/1.13 [776]~P36(x7761)+E(f46(f46(f12(x7761),f46(f46(f37(x7761),x7762),x7763)),x7762),f46(f46(f37(x7761),x7762),f35(x7763)))
% 0.94/1.13 [900]~P23(x9001)+E(f46(f46(f12(x9001),f46(f46(f37(x9001),x9002),x9003)),x9002),f46(f46(f12(x9001),x9002),f46(f46(f37(x9001),x9002),x9003)))
% 0.94/1.13 [1015]~P36(x10151)+E(f46(f46(f3(x10151),f46(f46(f12(x10151),x10152),x10153)),x10153),f46(f46(f12(x10151),f46(f46(f3(x10151),x10152),f11(x10151))),x10153))
% 0.94/1.13 [1081]P59(f46(x10811,x10812))+~P59(f46(x10811,f4(f46(f46(f3(a1),x10813),x10812),x10813,a1)))
% 0.94/1.13 [1097]~P13(x10971)+E(f46(f46(f3(x10971),f46(f46(f36(f2(x10971),f3(x10971),x10971),x10972),x10973)),x10972),f46(f46(f36(f2(x10971),f3(x10971),x10971),x10972),f35(x10973)))
% 0.94/1.13 [390]E(x3901,x3902)+~E(f39(x3903,x3901),f39(x3904,x3902))
% 0.94/1.13 [391]E(x3911,x3912)+~E(f39(x3911,x3913),f39(x3912,x3914))
% 0.94/1.13 [688]~P7(x6881,x6884)+P7(f24(x6881,x6882,x6883),f24(x6884,x6882,x6883))
% 0.94/1.13 [504]E(x5041,x5042)+~E(f46(f46(a16,x5043),x5041),f46(f46(a16,x5044),x5042))
% 0.94/1.13 [505]E(x5051,x5052)+~E(f46(f46(a16,x5051),x5053),f46(f46(a16,x5052),x5054))
% 0.94/1.13 [789]~P1(x7894)+E(f33(x7891,f33(x7892,x7893,x7894),x7894),f33(x7892,f33(x7891,x7893,x7894),x7894))
% 0.94/1.13 [790]~P1(x7904)+E(f34(x7901,f34(x7902,x7903,x7904),x7904),f34(x7902,f34(x7901,x7903,x7904),x7904))
% 0.94/1.13 [791]~P1(x7913)+E(f33(f33(x7911,x7912,x7913),x7914,x7913),f33(x7911,f33(x7912,x7914,x7913),x7913))
% 0.94/1.13 [792]~P1(x7923)+E(f34(f34(x7921,x7922,x7923),x7924,x7923),f34(x7921,f34(x7922,x7924,x7923),x7923))
% 0.94/1.13 [921]~P1(x9213)+E(f34(f33(x9211,x9212,x9213),f33(x9211,x9214,x9213),x9213),f33(x9211,f34(x9212,x9214,x9213),x9213))
% 0.94/1.13 [922]~P1(x9223)+E(f33(f34(x9221,x9222,x9223),f34(x9221,x9224,x9223),x9223),f34(x9221,f33(x9222,x9224,x9223),x9223))
% 0.94/1.13 [923]~P1(x9233)+E(f34(f33(x9231,x9232,x9233),f33(x9234,x9232,x9233),x9233),f33(f34(x9231,x9234,x9233),x9232,x9233))
% 0.94/1.13 [924]~P1(x9243)+E(f33(f34(x9241,x9242,x9243),f34(x9244,x9242,x9243),x9243),f34(f33(x9241,x9244,x9243),x9242,x9243))
% 0.94/1.13 [925]~P28(x9253)+E(f33(f4(x9251,x9252,x9253),f4(x9254,x9252,x9253),x9253),f4(f33(x9251,x9254,x9253),x9252,x9253))
% 0.94/1.13 [926]~P28(x9263)+E(f34(f4(x9261,x9262,x9263),f4(x9264,x9262,x9263),x9263),f4(f34(x9261,x9264,x9263),x9262,x9263))
% 0.94/1.13 [1003]~P57(x10034)+E(f30(x10031,x10032,f46(x10031,x10033),x10034),f30(x10031,f35(x10032),x10033,x10034))
% 0.94/1.13 [1073]~P1(x10734)+P8(f33(x10731,f34(x10732,x10733,x10734),x10734),f34(f33(x10731,x10732,x10734),f33(x10731,x10733,x10734),x10734),x10734)
% 0.94/1.13 [1074]~P1(x10743)+P8(f33(f34(x10741,x10742,x10743),f34(x10741,x10744,x10743),x10743),f34(x10741,f33(x10742,x10744,x10743),x10743),x10743)
% 0.94/1.13 [1076]P6(x10761,f15(x10762),f39(x10763,x10764))+~P6(f38(x10761,f2(a1),x10763,a48),x10762,x10764)
% 0.94/1.13 [1130]E(x11301,x11302)+~E(f26(a16,f15(x11303),x11301,a45,a45),f26(a16,f15(x11304),x11302,a45,a45))
% 0.94/1.13 [1131]E(x11311,x11312)+~E(f26(a16,f14(x11313),x11311,a45,a45),f26(a16,f14(x11314),x11312,a45,a45))
% 0.94/1.13 [1132]E(x11321,x11322)+~E(f26(a16,f15(x11321),x11323,a45,a45),f26(a16,f15(x11322),x11324,a45,a45))
% 0.94/1.13 [1133]E(x11331,x11332)+~E(f26(a16,f14(x11331),x11333,a45,a45),f26(a16,f14(x11332),x11334,a45,a45))
% 0.94/1.13 [1013]~P10(x10134)+E(f10(f4(x10131,f10(x10132,x10133,x10134),x10134),x10133,x10134),f10(f4(x10131,x10132,x10134),x10133,x10134))
% 0.94/1.13 [1014]~P10(x10143)+E(f10(f4(f10(x10141,x10142,x10143),x10144,x10143),x10142,x10143),f10(f4(x10141,x10144,x10143),x10142,x10143))
% 0.94/1.13 [1067]~P10(x10673)+E(f10(f4(f10(x10671,x10672,x10673),f10(x10674,x10672,x10673),x10673),x10672,x10673),f10(f4(x10671,x10674,x10673),x10672,x10673))
% 0.94/1.13 [1101]P59(f46(x11011,f46(x11012,x11013)))+~P59(f46(x11011,f28(x11014,x11012,f35(x11013),a47)))
% 0.94/1.13 [745]~P13(x7451)+E(f46(f46(f3(x7451),x7452),f46(f46(f3(x7451),x7453),x7454)),f46(f46(f3(x7451),x7453),f46(f46(f3(x7451),x7452),x7454)))
% 0.94/1.13 [746]~P36(x7461)+E(f46(f46(f3(x7461),x7462),f46(f46(f3(x7461),x7463),x7464)),f46(f46(f3(x7461),x7463),f46(f46(f3(x7461),x7462),x7464)))
% 0.94/1.13 [747]~P17(x7471)+E(f46(f46(f3(x7471),x7472),f46(f46(f3(x7471),x7473),x7474)),f46(f46(f3(x7471),x7473),f46(f46(f3(x7471),x7472),x7474)))
% 0.94/1.13 [748]~P36(x7481)+E(f46(f46(f12(x7481),x7482),f46(f46(f12(x7481),x7483),x7484)),f46(f46(f12(x7481),x7483),f46(f46(f12(x7481),x7482),x7484)))
% 0.94/1.13 [915]~P2(x9151)+E(f10(f46(f46(f12(x9151),x9152),x9153),f46(f46(f12(x9151),x9152),x9154),x9151),f46(f46(f12(x9151),x9152),f10(x9153,x9154,x9151)))
% 0.94/1.13 [979]~P23(x9791)+E(f46(f46(f12(x9791),f46(f46(f37(x9791),x9792),x9793)),f46(f46(f37(x9791),x9792),x9794)),f46(f46(f37(x9791),x9792),f46(f46(f3(a1),x9793),x9794)))
% 0.94/1.13 [980]~P36(x9801)+E(f46(f46(f12(x9801),f46(f46(f37(x9801),x9802),x9803)),f46(f46(f37(x9801),x9802),x9804)),f46(f46(f37(x9801),x9802),f46(f46(f3(a1),x9803),x9804)))
% 0.94/1.13 [990]~P36(x9901)+E(f46(f46(f3(x9901),f46(f46(f12(x9901),x9902),x9903)),f46(f46(f12(x9901),x9902),x9904)),f46(f46(f12(x9901),x9902),f46(f46(f3(x9901),x9903),x9904)))
% 0.94/1.13 [997]~P12(x9971)+E(f33(f46(f46(f3(x9971),x9972),x9973),f46(f46(f3(x9971),x9974),x9973),x9971),f46(f46(f3(x9971),f33(x9972,x9974,x9971)),x9973))
% 0.94/1.13 [998]~P12(x9981)+E(f34(f46(f46(f3(x9981),x9982),x9983),f46(f46(f3(x9981),x9984),x9983),x9981),f46(f46(f3(x9981),f34(x9982,x9984,x9981)),x9983))
% 0.94/1.13 [999]~P2(x9991)+E(f10(f46(f46(f12(x9991),x9992),x9993),f46(f46(f12(x9991),x9994),x9993),x9991),f46(f46(f12(x9991),f10(x9992,x9994,x9991)),x9993))
% 0.94/1.13 [1005]~P2(x10051)+E(f10(f46(f46(f12(x10051),x10052),f10(x10053,x10054,x10051)),x10054,x10051),f10(f46(f46(f12(x10051),x10052),x10053),x10054,x10051))
% 0.94/1.13 [1006]~P2(x10061)+E(f10(f46(f46(f3(x10061),x10062),f10(x10063,x10064,x10061)),x10064,x10061),f10(f46(f46(f3(x10061),x10062),x10063),x10064,x10061))
% 0.94/1.13 [1064]~P2(x10641)+E(f10(f46(f46(f3(x10641),f10(x10642,x10643,x10641)),x10644),x10643,x10641),f10(f46(f46(f3(x10641),x10642),x10644),x10643,x10641))
% 0.94/1.13 [1065]~P2(x10651)+E(f10(f46(f46(f12(x10651),f10(x10652,x10653,x10651)),x10654),x10653,x10651),f10(f46(f46(f12(x10651),x10652),x10654),x10653,x10651))
% 0.94/1.13 [1077]~P2(x10771)+E(f10(f46(f46(f3(x10771),f10(x10772,x10773,x10771)),f10(x10774,x10773,x10771)),x10773,x10771),f10(f46(f46(f3(x10771),x10772),x10774),x10773,x10771))
% 0.94/1.13 [1078]~P2(x10781)+E(f10(f46(f46(f12(x10781),f10(x10782,x10783,x10781)),f10(x10784,x10783,x10781)),x10783,x10781),f10(f46(f46(f12(x10781),x10782),x10784),x10783,x10781))
% 0.94/1.13 [1120]~P2(x11201)+E(f46(f46(f3(x11201),f46(f46(f3(x11201),f46(f46(f12(x11201),x11202),f5(x11203,x11202,x11201))),f10(x11203,x11202,x11201))),x11204),f46(f46(f3(x11201),x11203),x11204))
% 0.94/1.13 [1129]~P31(x11291)+E(f26(f3(x11291),f46(f46(f3(x11291),x11292),x11293),x11294,x11291,x11291),f46(f46(f3(x11291),x11292),f26(f3(x11291),x11293,x11294,x11291,x11291)))
% 0.94/1.13 [1147]~P2(x11471)+E(f46(f46(f3(x11471),f46(f46(f3(x11471),f46(f46(f12(x11471),f5(x11472,x11473,x11471)),x11473)),f10(x11472,x11473,x11471))),x11474),f46(f46(f3(x11471),x11472),x11474))
% 0.94/1.13 [891]~P36(x8911)+E(f46(f46(f37(x8911),f46(f46(f37(x8911),x8912),x8913)),x8914),f46(f46(f37(x8911),x8912),f46(f46(f12(a1),x8913),x8914)))
% 0.94/1.13 [892]~P23(x8921)+E(f46(f46(f37(x8921),f46(f46(f37(x8921),x8922),x8923)),x8924),f46(f46(f37(x8921),x8922),f46(f46(f12(a1),x8923),x8924)))
% 0.94/1.13 [897]~P13(x8971)+E(f46(f46(f3(x8971),f46(f46(f3(x8971),x8972),x8973)),x8974),f46(f46(f3(x8971),x8972),f46(f46(f3(x8971),x8973),x8974)))
% 0.94/1.13 [898]~P36(x8981)+E(f46(f46(f3(x8981),f46(f46(f3(x8981),x8982),x8983)),x8984),f46(f46(f3(x8981),x8982),f46(f46(f3(x8981),x8983),x8984)))
% 0.94/1.13 [899]~P14(x8991)+E(f46(f46(f3(x8991),f46(f46(f3(x8991),x8992),x8993)),x8994),f46(f46(f3(x8991),x8992),f46(f46(f3(x8991),x8993),x8994)))
% 0.94/1.13 [901]~P36(x9011)+E(f46(f46(f12(x9011),f46(f46(f12(x9011),x9012),x9013)),x9014),f46(f46(f12(x9011),x9012),f46(f46(f12(x9011),x9013),x9014)))
% 0.94/1.13 [902]~P19(x9021)+E(f46(f46(f12(x9021),f46(f46(f12(x9021),x9022),x9023)),x9024),f46(f46(f12(x9021),x9022),f46(f46(f12(x9021),x9023),x9024)))
% 0.94/1.13 [910]~P2(x9101)+E(f10(f46(f46(f3(x9101),x9102),f46(f46(f12(x9101),x9103),x9104)),x9104,x9101),f10(x9102,x9104,x9101))
% 0.94/1.13 [911]~P2(x9111)+E(f10(f46(f46(f3(x9111),x9112),f46(f46(f12(x9111),x9113),x9114)),x9113,x9111),f10(x9112,x9113,x9111))
% 0.94/1.13 [988]~P36(x9881)+E(f46(f46(f3(x9881),f46(f46(f3(x9881),x9882),x9883)),x9884),f46(f46(f3(x9881),f46(f46(f3(x9881),x9882),x9884)),x9883))
% 0.94/1.13 [989]~P36(x9891)+E(f46(f46(f12(x9891),f46(f46(f12(x9891),x9892),x9893)),x9894),f46(f46(f12(x9891),f46(f46(f12(x9891),x9892),x9894)),x9893))
% 0.94/1.13 [1037]~P36(x10371)+E(f46(f46(f12(x10371),f46(f46(f37(x10371),x10372),x10373)),f46(f46(f37(x10371),x10374),x10373)),f46(f46(f37(x10371),f46(f46(f12(x10371),x10372),x10374)),x10373))
% 0.94/1.13 [1038]~P22(x10381)+E(f46(f46(f12(x10381),f46(f46(f37(x10381),x10382),x10383)),f46(f46(f37(x10381),x10384),x10383)),f46(f46(f37(x10381),f46(f46(f12(x10381),x10382),x10384)),x10383))
% 0.94/1.13 [1040]~P37(x10401)+E(f46(f46(f3(x10401),f46(f46(f12(x10401),x10402),x10403)),f46(f46(f12(x10401),x10404),x10403)),f46(f46(f12(x10401),f46(f46(f3(x10401),x10402),x10404)),x10403))
% 0.94/1.13 [1041]~P36(x10411)+E(f46(f46(f3(x10411),f46(f46(f12(x10411),x10412),x10413)),f46(f46(f12(x10411),x10414),x10413)),f46(f46(f12(x10411),f46(f46(f3(x10411),x10412),x10414)),x10413))
% 0.94/1.13 [1112]~P13(x11121)+E(f46(f46(f3(x11121),f46(f46(f36(f2(x11121),f3(x11121),x11121),x11122),x11123)),f46(f46(f36(f2(x11121),f3(x11121),x11121),x11122),x11124)),f46(f46(f36(f2(x11121),f3(x11121),x11121),x11122),f46(f46(f3(a1),x11123),x11124)))
% 0.94/1.13 [1113]~P13(x11131)+E(f46(f46(f3(x11131),f46(f46(f36(f2(x11131),f3(x11131),x11131),x11132),x11133)),f46(f46(f36(f2(x11131),f3(x11131),x11131),x11134),x11133)),f46(f46(f36(f2(x11131),f3(x11131),x11131),f46(f46(f3(x11131),x11132),x11134)),x11133))
% 0.94/1.13 [1108]~P13(x11081)+E(f46(f46(f36(f2(x11081),f3(x11081),x11081),f46(f46(f36(f2(x11081),f3(x11081),x11081),x11082),x11083)),x11084),f46(f46(f36(f2(x11081),f3(x11081),x11081),x11082),f46(f46(f12(a1),x11083),x11084)))
% 0.94/1.13 [1115]~P8(x11151,x11153,a1)+E(f46(f46(f3(a1),f46(f46(f12(a1),x11151),x11152)),f46(f46(f3(a1),f46(f46(f12(a1),f4(x11153,x11151,a1)),x11152)),x11154)),f46(f46(f3(a1),f46(f46(f12(a1),x11153),x11152)),x11154))
% 0.94/1.13 [598]E(x5981,x5982)+~E(f25(x5981,x5983,x5984),f25(x5982,x5985,x5984))
% 0.94/1.13 [1050]~P6(x10501,x10504,x10505)+P6(f38(x10501,x10502,x10503,a48),f22(x10504,x10502),x10505)
% 0.94/1.13 [1035]~P4(x10355,x10352,a1)+E(f46(f38(x10351,x10352,x10353,x10354),x10355),f46(x10351,x10355))
% 0.94/1.13 [1151]P59(f46(x11511,f46(x11512,x11513)))+~P59(f46(x11511,f18(x11514,x11515,x11512,f15(x11513),a47)))
% 0.94/1.13 [1153]P59(f46(x11531,f46(x11532,x11533)))+~P59(f46(x11531,f18(x11532,x11534,x11535,f14(x11533),a47)))
% 0.94/1.13 [1002]E(f10(x10021,x10022,a1),f10(x10023,x10022,a1))+~E(f46(f46(f3(a1),x10021),f46(f46(f12(a1),x10022),x10024)),f46(f46(f3(a1),x10023),f46(f46(f12(a1),x10022),x10025)))
% 0.94/1.13 [1058]~P36(x10581)+E(f46(f46(f3(x10581),f46(f46(f3(x10581),x10582),x10583)),f46(f46(f3(x10581),x10584),x10585)),f46(f46(f3(x10581),f46(f46(f3(x10581),x10582),x10584)),f46(f46(f3(x10581),x10583),x10585)))
% 0.94/1.13 [1059]~P36(x10591)+E(f46(f46(f12(x10591),f46(f46(f12(x10591),x10592),x10593)),f46(f46(f12(x10591),x10594),x10595)),f46(f46(f12(x10591),f46(f46(f12(x10591),x10592),x10594)),f46(f46(f12(x10591),x10593),x10595)))
% 0.94/1.13 [1117]~P56(x11171)+E(f46(f46(f3(x11171),f46(f46(f12(x11171),x11172),x11173)),f46(f46(f3(x11171),f46(f46(f12(x11171),f4(x11174,x11172,x11171)),x11173)),x11175)),f46(f46(f3(x11171),f46(f46(f12(x11171),x11174),x11173)),x11175))
% 0.94/1.13 [1118]~P8(x11181,x11184,a1)+E(f4(f46(f46(f3(a1),f46(f46(f12(a1),x11181),x11182)),x11183),f46(f46(f3(a1),f46(f46(f12(a1),x11184),x11182)),x11185),a1),f4(x11183,f46(f46(f3(a1),f46(f46(f12(a1),f4(x11184,x11181,a1)),x11182)),x11185),a1))
% 0.94/1.13 [1119]~P8(x11194,x11191,a1)+E(f4(f46(f46(f3(a1),f46(f46(f12(a1),x11191),x11192)),x11193),f46(f46(f3(a1),f46(f46(f12(a1),x11194),x11192)),x11195),a1),f4(f46(f46(f3(a1),f46(f46(f12(a1),f4(x11191,x11194,a1)),x11192)),x11193),x11195,a1))
% 0.94/1.13 [1102]~P49(x11021)+E(f46(f46(f3(x11021),f46(f46(f12(x11021),x11022),x11023)),f46(f46(f3(x11021),f46(f46(f12(x11021),x11024),x11023)),x11025)),f46(f46(f3(x11021),f46(f46(f12(x11021),f46(f46(f3(x11021),x11022),x11024)),x11023)),x11025))
% 0.94/1.13 [1156]P59(f46(x11561,f46(f46(x11562,x11563),x11564)))+~P59(f46(x11561,f18(x11565,x11562,x11566,f46(f46(a16,x11563),x11564),a47)))
% 0.94/1.13 [1158]~P5(x11584,x11581,x11585,x11586,x11582,x11587)+E(f46(f46(x11581,x11582),x11583),x11583)
% 0.94/1.13 [1159]~P5(x11594,x11591,x11595,x11593,x11596,x11597)+E(f46(f46(x11591,x11592),x11593),x11593)
% 0.94/1.13 [1161]~P5(x11611,x11614,x11615,x11612,x11616,x11617)+E(f46(f46(x11611,x11612),x11613),x11613)
% 0.94/1.13 [1162]~P5(x11624,x11621,x11625,x11626,x11623,x11627)+E(f46(f46(x11621,x11622),x11623),x11622)
% 0.94/1.13 [1164]~P5(x11644,x11641,x11645,x11642,x11646,x11647)+E(f46(f46(x11641,x11642),x11643),x11642)
% 0.94/1.13 [1165]~P5(x11651,x11654,x11655,x11653,x11656,x11657)+E(f46(f46(x11651,x11652),x11653),x11652)
% 0.94/1.13 [1166]~P5(x11664,x11665,x11661,x11666,x11663,x11667)+E(f46(f46(x11661,x11662),f2(a1)),x11663)
% 0.94/1.13 [1174]~P5(x11741,x11743,x11745,x11746,x11744,x11747)+E(f46(f46(x11741,x11742),x11742),f46(f46(x11743,f46(f46(x11741,x11744),x11744)),x11742))
% 0.94/1.13 [1168]~P5(x11684,x11681,x11685,x11686,x11687,x11688)+E(f46(f46(x11681,x11682),x11683),f46(f46(x11681,x11683),x11682))
% 0.94/1.13 [1170]~P5(x11701,x11704,x11705,x11706,x11707,x11708)+E(f46(f46(x11701,x11702),x11703),f46(f46(x11701,x11703),x11702))
% 0.94/1.13 [1173]~P5(x11735,x11731,x11733,x11736,x11737,x11738)+E(f46(f46(x11731,x11732),f46(f46(x11733,x11732),x11734)),f46(f46(x11733,x11732),f35(x11734)))
% 0.94/1.13 [1177]~P5(x11775,x11771,x11772,x11776,x11777,x11778)+E(f46(f46(x11771,f46(f46(x11772,x11773),x11774)),x11773),f46(f46(x11772,x11773),f35(x11774)))
% 0.94/1.13 [1178]~P5(x11781,x11783,x11786,x11787,x11785,x11788)+E(f46(f46(x11781,x11782),f46(f46(x11783,x11784),x11782)),f46(f46(x11783,f46(f46(x11781,x11784),x11785)),x11782))
% 0.94/1.13 [1186]~P5(x11861,x11862,x11866,x11867,x11865,x11868)+E(f46(f46(x11861,f46(f46(x11862,x11863),x11864)),x11864),f46(f46(x11862,f46(f46(x11861,x11863),x11865)),x11864))
% 0.94/1.13 [1175]~P5(x11755,x11751,x11756,x11757,x11758,x11759)+E(f46(f46(x11751,x11752),f46(f46(x11751,x11753),x11754)),f46(f46(x11751,x11753),f46(f46(x11751,x11752),x11754)))
% 0.94/1.13 [1176]~P5(x11761,x11765,x11766,x11767,x11768,x11769)+E(f46(f46(x11761,x11762),f46(f46(x11761,x11763),x11764)),f46(f46(x11761,x11763),f46(f46(x11761,x11762),x11764)))
% 0.94/1.13 [1189]~P5(x11891,x11892,x11896,x11897,x11898,x11899)+E(f46(f46(x11891,f46(f46(x11892,x11893),x11894)),f46(f46(x11892,x11893),x11895)),f46(f46(x11892,x11893),f46(f46(x11891,x11894),x11895)))
% 0.94/1.13 [1183]~P5(x11835,x11831,x11836,x11837,x11838,x11839)+E(f46(f46(x11831,f46(f46(x11831,x11832),x11833)),x11834),f46(f46(x11831,x11832),f46(f46(x11831,x11833),x11834)))
% 0.94/1.13 [1184]~P5(x11841,x11845,x11846,x11847,x11848,x11849)+E(f46(f46(x11841,f46(f46(x11841,x11842),x11843)),x11844),f46(f46(x11841,x11842),f46(f46(x11841,x11843),x11844)))
% 0.94/1.13 [1185]~P5(x11855,x11856,x11851,x11857,x11858,x11859)+E(f46(f46(x11851,f46(f46(x11851,x11852),x11853)),x11854),f46(f46(x11851,x11852),f46(f46(f12(a1),x11853),x11854)))
% 0.94/1.13 [1187]~P5(x11875,x11871,x11876,x11877,x11878,x11879)+E(f46(f46(x11871,f46(f46(x11871,x11872),x11873)),x11874),f46(f46(x11871,f46(f46(x11871,x11872),x11874)),x11873))
% 0.94/1.13 [1188]~P5(x11881,x11885,x11886,x11887,x11888,x11889)+E(f46(f46(x11881,f46(f46(x11881,x11882),x11883)),x11884),f46(f46(x11881,f46(f46(x11881,x11882),x11884)),x11883))
% 0.94/1.13 [1190]~P5(x11906,x11901,x11902,x11907,x11908,x11909)+E(f46(f46(x11901,f46(f46(x11902,x11903),x11904)),f46(f46(x11902,x11903),x11905)),f46(f46(x11902,x11903),f46(f46(f3(a1),x11904),x11905)))
% 0.94/1.13 [1191]~P5(x11916,x11911,x11912,x11917,x11918,x11919)+E(f46(f46(x11911,f46(f46(x11912,x11913),x11914)),f46(f46(x11912,x11915),x11914)),f46(f46(x11912,f46(f46(x11911,x11913),x11915)),x11914))
% 0.94/1.13 [1193]~P5(x11931,x11932,x11936,x11937,x11938,x11939)+E(f46(f46(x11931,f46(f46(x11932,x11933),x11934)),f46(f46(x11932,x11935),x11934)),f46(f46(x11932,f46(f46(x11931,x11933),x11935)),x11934))
% 0.94/1.13 [1195]~P5(x11956,x11951,x11957,x11958,x11959,x119510)+E(f46(f46(x11951,f46(f46(x11951,x11952),x11953)),f46(f46(x11951,x11954),x11955)),f46(f46(x11951,f46(f46(x11951,x11952),x11954)),f46(f46(x11951,x11953),x11955)))
% 0.94/1.13 [1196]~P5(x11961,x11966,x11967,x11968,x11969,x119610)+E(f46(f46(x11961,f46(f46(x11961,x11962),x11963)),f46(f46(x11961,x11964),x11965)),f46(f46(x11961,f46(f46(x11961,x11962),x11964)),f46(f46(x11961,x11963),x11965)))
% 0.94/1.13 [626]~P29(x6261)+~P8(f2(x6261),f2(x6261),x6261)+E(f46(f46(f3(x6261),f2(x6261)),f2(x6261)),f2(x6261))
% 0.94/1.13 [483]E(x4831,x4832)+P4(x4832,x4831,a1)+P4(x4831,x4832,a1)
% 0.94/1.13 [529]E(x5291,x5292)+P4(x5291,x5292,a1)+~P8(x5291,x5292,a1)
% 0.94/1.13 [593]E(x5931,x5932)+~P8(x5932,x5931,a1)+~P8(x5931,x5932,a1)
% 0.94/1.13 [418]~P2(x4182)+E(f5(x4181,x4181,x4182),f11(x4182))+E(x4181,f2(x4182))
% 0.94/1.13 [431]~P39(x4312)+~P16(x4312)+E(f4(x4311,x4311,x4312),f2(x4312))
% 0.94/1.13 [550]~P4(x5501,x5502,a1)+E(f35(x5501),x5502)+P4(f35(x5501),x5502,a1)
% 0.94/1.13 [551]E(x5511,x5512)+P4(x5512,x5511,a1)+~P4(x5512,f35(x5511),a1)
% 0.94/1.13 [553]E(x5531,x5532)+P4(x5531,x5532,a1)+~P4(x5531,f35(x5532),a1)
% 0.94/1.13 [577]P8(x5771,x5772,a1)+E(x5771,f35(x5772))+~P8(x5771,f35(x5772),a1)
% 0.94/1.13 [603]E(x6031,x6032)+~E(f4(x6032,x6031,a1),f2(a1))+~E(f4(x6031,x6032,a1),f2(a1))
% 0.94/1.13 [607]E(x6071,x6072)+~P8(x6072,x6071,a1)+~P4(x6071,f35(x6072),a1)
% 0.94/1.13 [624]~P32(x6241)+P4(f2(x6241),f29(x6242,x6241),x6241)+~P4(f2(a1),x6242,a1)
% 0.94/1.13 [636]~P32(x6362)+~P4(f2(x6362),f29(x6361,x6362),x6362)+P4(f2(a1),x6361,a1)
% 0.94/1.13 [793]P4(f4(x7931,x7932,a1),x7931,a1)+~P4(f2(a1),x7932,a1)+~P4(f2(a1),x7931,a1)
% 0.94/1.13 [432]~P39(x4321)+~P16(x4321)+E(f46(f46(f3(x4321),x4322),f2(x4321)),x4322)
% 0.94/1.13 [451]~P48(x4511)+~P33(x4511)+E(f46(f46(f37(x4511),f2(x4511)),f35(x4512)),f2(x4511))
% 0.94/1.13 [515]P59(f46(x5151,x5152))+P59(f46(x5151,f56(x5151)))+~P59(f46(x5151,f2(a1)))
% 0.94/1.13 [516]P59(f46(x5161,x5162))+P59(f46(x5161,f57(x5161)))+~P59(f46(x5161,f2(a1)))
% 0.94/1.13 [517]P59(f46(x5171,x5172))+P59(f46(x5171,f58(x5171)))+~P59(f46(x5171,f2(a1)))
% 0.94/1.13 [518]P59(f46(x5181,x5182))+P59(f46(x5181,f60(x5181)))+~P59(f46(x5181,f2(a1)))
% 0.94/1.13 [519]P59(f46(x5191,x5192))+P59(f46(x5191,f6(x5191)))+~P59(f46(x5191,f2(a1)))
% 0.94/1.13 [520]P59(f46(x5201,x5202))+P59(f46(x5201,f59(x5201)))+~P59(f46(x5201,f2(a1)))
% 0.94/1.13 [563]P4(f2(a1),f7(x5631),a1)+P59(f46(x5631,x5632))+~P59(f46(x5631,f2(a1)))
% 0.94/1.13 [576]~P59(f46(x5761,x5762))+~P59(f46(x5761,f9(x5761)))+P59(f46(x5761,f2(a1)))
% 0.94/1.13 [578]P59(f46(x5781,x5782))+~P59(f46(x5781,f7(x5781)))+~P59(f46(x5781,f2(a1)))
% 0.94/1.13 [581]P8(f8(x5811,x5812),x5812,a1)+~P59(f46(x5811,x5812))+P59(f46(x5811,f2(a1)))
% 0.94/1.13 [584]~P59(f46(x5841,x5842))+P59(f46(x5841,f8(x5841,x5842)))+P59(f46(x5841,f2(a1)))
% 0.94/1.13 [446]E(x4461,f2(a1))+E(x4462,f2(a1))+~E(f46(f46(f12(a1),x4462),x4461),f2(a1))
% 0.94/1.13 [453]E(x4531,f2(a1))+E(x4532,f2(a1))+~E(f46(f46(f3(a1),x4532),x4531),f35(f2(a1)))
% 0.94/1.13 [465]E(x4651,f2(a1))+E(x4651,f35(f2(a1)))+~E(f46(f46(f3(a1),x4652),x4651),f35(f2(a1)))
% 0.94/1.13 [466]E(x4661,f2(a1))+E(x4661,f35(f2(a1)))+~E(f46(f46(f3(a1),x4661),x4662),f35(f2(a1)))
% 0.94/1.13 [468]E(x4681,f35(f2(a1)))+E(x4682,f35(f2(a1)))+~E(f46(f46(f3(a1),x4682),x4681),f35(f2(a1)))
% 0.94/1.13 [470]~P26(x4702)+E(x4701,f2(x4702))+~E(f46(f46(f3(x4702),x4701),x4701),f2(x4702))
% 0.94/1.13 [575]~P59(f46(x5751,x5752))+P59(f46(x5751,f2(a1)))+P59(f46(x5751,f35(f9(x5751))))
% 0.94/1.13 [628]P59(f46(x6281,x6282))+~P59(f46(x6281,f2(a1)))+~P59(f46(x6281,f35(f56(x6281))))
% 0.94/1.13 [629]P59(f46(x6291,x6292))+~P59(f46(x6291,f2(a1)))+~P59(f46(x6291,f35(f57(x6291))))
% 0.94/1.13 [630]P59(f46(x6301,x6302))+~P59(f46(x6301,f2(a1)))+~P59(f46(x6301,f35(f58(x6301))))
% 0.94/1.13 [631]P59(f46(x6311,x6312))+~P59(f46(x6311,f2(a1)))+~P59(f46(x6311,f35(f60(x6311))))
% 0.94/1.13 [632]P59(f46(x6321,x6322))+~P59(f46(x6321,f2(a1)))+~P59(f46(x6321,f35(f6(x6321))))
% 0.94/1.13 [633]P59(f46(x6331,x6332))+~P59(f46(x6331,f2(a1)))+~P59(f46(x6331,f35(f59(x6331))))
% 0.94/1.13 [714]~P26(x7141)+~P4(f2(x7141),x7142,x7141)+P4(f2(x7141),f46(f46(f3(x7141),x7142),x7142),x7141)
% 0.94/1.13 [716]~P26(x7161)+~P8(f2(x7161),x7162,x7161)+P8(f2(x7161),f46(f46(f3(x7161),x7162),x7162),x7161)
% 0.94/1.13 [718]~P26(x7181)+~P4(x7182,f2(x7181),x7181)+P4(f46(f46(f3(x7181),x7182),x7182),f2(x7181),x7181)
% 0.94/1.13 [719]~P44(x7191)+~P4(x7192,f2(x7191),x7191)+P4(f46(f46(f3(x7191),x7192),x7192),f2(x7191),x7191)
% 0.94/1.13 [720]~P26(x7201)+~P8(x7202,f2(x7201),x7201)+P8(f46(f46(f3(x7201),x7202),x7202),f2(x7201),x7201)
% 0.94/1.13 [777]~P4(f2(a1),x7772,a1)+~P4(f2(a1),x7771,a1)+P4(f2(a1),f46(f46(f12(a1),x7771),x7772),a1)
% 0.94/1.13 [779]~P26(x7792)+P4(x7791,f2(x7792),x7792)+~P4(f46(f46(f3(x7792),x7791),x7791),f2(x7792),x7792)
% 0.94/1.13 [780]~P44(x7802)+P4(x7801,f2(x7802),x7802)+~P4(f46(f46(f3(x7802),x7801),x7801),f2(x7802),x7802)
% 0.94/1.13 [781]~P26(x7812)+P8(x7811,f2(x7812),x7812)+~P8(f46(f46(f3(x7812),x7811),x7811),f2(x7812),x7812)
% 0.94/1.13 [782]~P26(x7821)+P4(f2(x7821),x7822,x7821)+~P4(f2(x7821),f46(f46(f3(x7821),x7822),x7822),x7821)
% 0.94/1.13 [783]~P26(x7831)+P8(f2(x7831),x7832,x7831)+~P8(f2(x7831),f46(f46(f3(x7831),x7832),x7832),x7831)
% 0.94/1.13 [806]P4(f2(a1),x8061,a1)+P4(f2(a1),x8062,a1)+~P4(f2(a1),f46(f46(f3(a1),x8061),x8062),a1)
% 0.94/1.13 [811]~P4(f35(f2(a1)),x8112,a1)+~P4(f35(f2(a1)),x8111,a1)+P4(x8111,f46(f46(f12(a1),x8112),x8111),a1)
% 0.94/1.13 [812]~P4(f35(f2(a1)),x8122,a1)+~P4(f35(f2(a1)),x8121,a1)+P4(x8121,f46(f46(f12(a1),x8121),x8122),a1)
% 0.94/1.13 [826]~P4(f35(f2(a1)),x8262,a1)+~P4(f35(f2(a1)),x8261,a1)+P4(f35(f2(a1)),f46(f46(f12(a1),x8261),x8262),a1)
% 0.94/1.13 [827]~P8(f35(f2(a1)),x8272,a1)+~P8(f35(f2(a1)),x8271,a1)+P8(f35(f2(a1)),f46(f46(f12(a1),x8271),x8272),a1)
% 0.94/1.13 [985]P4(x9851,x9852,a1)+~P4(f2(a1),x9852,a1)+E(f35(f5(f4(x9851,x9852,a1),x9852,a1)),f5(x9851,x9852,a1))
% 0.94/1.13 [1010]~P8(x10102,x10101,a1)+~P4(f2(a1),x10102,a1)+E(f35(f5(f4(x10101,x10102,a1),x10102,a1)),f5(x10101,x10102,a1))
% 0.94/1.13 [500]P8(x5002,x5001,x5003)+~P1(x5003)+P4(x5001,x5002,x5003)
% 0.94/1.13 [502]P8(x5022,x5021,x5023)+~P1(x5023)+P8(x5021,x5022,x5023)
% 0.94/1.13 [546]~P34(x5463)+~P4(x5461,x5462,x5463)+P8(x5461,x5462,x5463)
% 0.94/1.13 [547]~P35(x5473)+~P4(x5471,x5472,x5473)+P8(x5471,x5472,x5473)
% 0.94/1.13 [608]~P4(x6083,x6082,x6081)+~P1(x6081)+~P4(x6082,x6083,x6081)
% 0.94/1.13 [610]~P8(x6103,x6102,x6101)+~P1(x6101)+~P4(x6102,x6103,x6101)
% 0.94/1.13 [613]~P4(x6133,x6132,x6131)+~P34(x6131)+~P4(x6132,x6133,x6131)
% 0.94/1.13 [614]~P8(x6143,x6142,x6141)+~P34(x6141)+~P4(x6142,x6143,x6141)
% 0.94/1.13 [615]~P4(x6153,x6152,x6151)+~P35(x6151)+~P4(x6152,x6153,x6151)
% 0.94/1.13 [649]~P8(x6491,x6493,a1)+P8(x6491,x6492,a1)+~P8(x6493,x6492,a1)
% 0.94/1.13 [393]~P15(x3933)+E(x3931,x3932)+~E(f29(x3931,x3933),f29(x3932,x3933))
% 0.94/1.13 [472]~P25(x4723)+E(x4721,x4722)+~E(f4(x4721,x4722,x4723),f2(x4723))
% 0.94/1.13 [473]~P17(x4733)+E(x4731,x4732)+~E(f4(x4731,x4732,x4733),f2(x4733))
% 0.94/1.13 [554]~P1(x5543)+~P8(x5541,x5542,x5543)+E(f33(x5541,x5542,x5543),x5542)
% 0.94/1.13 [555]~P1(x5553)+~P8(x5552,x5551,x5553)+E(f33(x5551,x5552,x5553),x5551)
% 0.94/1.13 [556]~P1(x5563)+~P8(x5562,x5561,x5563)+E(f34(x5561,x5562,x5563),x5562)
% 0.94/1.13 [557]~P1(x5573)+~P8(x5571,x5572,x5573)+E(f34(x5571,x5572,x5573),x5571)
% 0.94/1.13 [561]~P1(x5613)+P8(x5611,x5612,x5613)+~E(f33(x5611,x5612,x5613),x5612)
% 0.94/1.13 [562]~P1(x5623)+P8(x5621,x5622,x5623)+~E(f34(x5621,x5622,x5623),x5621)
% 0.94/1.13 [634]~P32(x6342)+~P4(x6341,x6343,a1)+P4(f29(x6341,x6342),f29(x6343,x6342),x6342)
% 0.94/1.13 [635]~P32(x6352)+~P8(x6351,x6353,a1)+P8(f29(x6351,x6352),f29(x6353,x6352),x6352)
% 0.94/1.13 [662]~P4(x6621,x6623,a1)+~P4(x6623,x6622,a1)+P4(f35(x6621),x6622,a1)
% 0.94/1.13 [664]~P32(x6643)+~P4(f29(x6641,x6643),f29(x6642,x6643),x6643)+P4(x6641,x6642,a1)
% 0.94/1.13 [665]~P32(x6653)+~P8(f29(x6651,x6653),f29(x6652,x6653),x6653)+P8(x6651,x6652,a1)
% 0.94/1.13 [709]~P28(x7093)+~P4(x7091,x7092,x7093)+P4(f4(x7091,x7092,x7093),f2(x7093),x7093)
% 0.94/1.13 [710]~P28(x7103)+~P8(x7101,x7102,x7103)+P8(f4(x7101,x7102,x7103),f2(x7103),x7103)
% 0.94/1.13 [784]~P28(x7843)+P4(x7841,x7842,x7843)+~P4(f4(x7841,x7842,x7843),f2(x7843),x7843)
% 0.94/1.13 [785]~P28(x7853)+P8(x7851,x7852,x7853)+~P8(f4(x7851,x7852,x7853),f2(x7853),x7853)
% 0.94/1.13 [916]~P4(x9161,x9163,a1)+~P8(x9162,x9161,a1)+P4(f4(x9161,x9162,a1),f4(x9163,x9162,a1),a1)
% 0.94/1.13 [917]~P4(x9173,x9172,a1)+~P4(x9173,x9171,a1)+P4(f4(x9171,x9172,a1),f4(x9171,x9173,a1),a1)
% 0.94/1.13 [919]~P8(x9193,x9192,a1)+P8(f5(x9191,x9192,a1),f5(x9191,x9193,a1),a1)+~P4(f2(a1),x9193,a1)
% 0.94/1.13 [511]E(x5111,x5112)+P4(x5112,x5111,a1)+E(f24(f14(x5111),x5113,x5112),f14(x5111))
% 0.94/1.13 [724]~P32(x7241)+~P4(f11(x7241),x7242,x7241)+P4(f11(x7241),f46(f46(f37(x7241),x7242),f35(x7243)),x7241)
% 0.94/1.13 [743]~P55(x7432)+~P8(x7433,x7431,a1)+E(f4(f29(x7431,x7432),f29(x7433,x7432),x7432),f29(f4(x7431,x7433,a1),x7432))
% 0.94/1.13 [971]~P8(x9712,x9713,a1)+~P8(x9712,x9711,a1)+E(f4(f4(x9711,x9712,a1),f4(x9713,x9712,a1),a1),f4(x9711,x9713,a1))
% 0.94/1.13 [972]~P4(x9722,x9723,a1)+~P59(f46(x9721,f4(x9722,x9723,a1)))+P59(f46(x9721,f2(a1)))
% 0.94/1.13 [469]~P54(x4692)+E(x4691,f2(x4692))+~E(f46(f46(f37(x4692),x4691),x4693),f2(x4692))
% 0.94/1.13 [573]E(x5731,x5732)+E(x5733,f2(a1))+~E(f46(f46(f12(a1),x5733),x5731),f46(f46(f12(a1),x5733),x5732))
% 0.94/1.13 [574]E(x5741,x5742)+E(x5743,f2(a1))+~E(f46(f46(f12(a1),x5741),x5743),f46(f46(f12(a1),x5742),x5743))
% 0.94/1.13 [680]E(x6801,x6802)+~P4(f2(a1),x6803,a1)+~E(f46(f46(f12(a1),x6803),x6801),f46(f46(f12(a1),x6803),x6802))
% 0.94/1.13 [713]~P32(x7131)+~P4(f2(x7131),x7132,x7131)+P4(f2(x7131),f46(f46(f37(x7131),x7132),x7133),x7131)
% 0.94/1.13 [715]~P32(x7151)+~P8(f2(x7151),x7152,x7151)+P8(f2(x7151),f46(f46(f37(x7151),x7152),x7153),x7151)
% 0.94/1.13 [717]~P32(x7171)+~P8(f11(x7171),x7172,x7171)+P8(f11(x7171),f46(f46(f37(x7171),x7172),x7173),x7171)
% 0.94/1.13 [744]~P8(x7441,x7442,a1)+~P4(f2(a1),x7443,a1)+P4(x7441,f46(f46(f3(a1),x7442),x7443),a1)
% 0.94/1.13 [886]~P4(x8861,x8863,a1)+~P4(f2(a1),x8862,a1)+P4(f46(f46(f12(a1),x8861),x8862),f46(f46(f12(a1),x8863),x8862),a1)
% 0.94/1.13 [889]~P4(x8892,x8893,a1)+~P4(f2(a1),x8891,a1)+P4(f46(f46(f12(a1),x8891),x8892),f46(f46(f12(a1),x8891),x8893),a1)
% 0.94/1.13 [961]~P8(x9613,x9612,a1)+P8(x9611,f4(x9612,x9613,a1),a1)+~P8(f46(f46(f3(a1),x9611),x9613),x9612,a1)
% 0.94/1.13 [967]~P8(x9672,x9673,a1)+~P8(x9671,f4(x9673,x9672,a1),a1)+P8(f46(f46(f3(a1),x9671),x9672),x9673,a1)
% 0.94/1.13 [983]P8(x9831,x9832,a1)+~P4(f2(a1),x9833,a1)+~P8(f46(f46(f12(a1),x9833),x9831),f46(f46(f12(a1),x9833),x9832),a1)
% 0.94/1.13 [984]P8(x9841,x9842,a1)+~P4(f2(a1),x9843,a1)+~P8(f46(f46(f12(a1),x9841),x9843),f46(f46(f12(a1),x9842),x9843),a1)
% 0.94/1.13 [595]~P2(x5952)+E(x5951,f2(x5952))+E(f5(f46(f46(f12(x5952),x5953),x5951),x5951,x5952),x5953)
% 0.94/1.13 [596]~P2(x5962)+E(x5961,f2(x5962))+E(f5(f46(f46(f12(x5962),x5961),x5963),x5961,x5962),x5963)
% 0.94/1.13 [932]~P2(x9322)+E(x9321,f2(x9322))+E(f5(f46(f46(f3(x9322),x9323),x9321),x9321,x9322),f46(f46(f3(x9322),f5(x9323,x9321,x9322)),f11(x9322)))
% 0.94/1.13 [933]~P2(x9332)+E(x9331,f2(x9332))+E(f5(f46(f46(f3(x9332),x9331),x9333),x9331,x9332),f46(f46(f3(x9332),f5(x9333,x9331,x9332)),f11(x9332)))
% 0.94/1.13 [966]~P32(x9661)+~P4(f11(x9661),x9662,x9661)+P4(f11(x9661),f46(f46(f12(x9661),x9662),f46(f46(f37(x9661),x9662),x9663)),x9661)
% 0.94/1.13 [1031]~P32(x10311)+~P4(f11(x10311),x10312,x10311)+P4(f46(f46(f37(x10311),x10312),x10313),f46(f46(f12(x10311),x10312),f46(f46(f37(x10311),x10312),x10313)),x10311)
% 0.94/1.13 [1032]~P45(x10322)+E(x10321,f2(x10322))+~E(f46(f46(f3(x10322),f46(f46(f12(x10322),x10323),x10323)),f46(f46(f12(x10322),x10321),x10321)),f2(x10322))
% 0.94/1.13 [1033]~P45(x10332)+E(x10331,f2(x10332))+~E(f46(f46(f3(x10332),f46(f46(f12(x10332),x10331),x10331)),f46(f46(f12(x10332),x10333),x10333)),f2(x10332))
% 0.94/1.13 [1069]~P45(x10692)+E(x10691,f2(x10692))+P4(f2(x10692),f46(f46(f3(x10692),f46(f46(f12(x10692),x10693),x10693)),f46(f46(f12(x10692),x10691),x10691)),x10692)
% 0.94/1.13 [1070]~P45(x10702)+E(x10701,f2(x10702))+P4(f2(x10702),f46(f46(f3(x10702),f46(f46(f12(x10702),x10701),x10701)),f46(f46(f12(x10702),x10703),x10703)),x10702)
% 0.94/1.13 [1094]~P45(x10942)+E(x10941,f2(x10942))+~P8(f46(f46(f3(x10942),f46(f46(f12(x10942),x10943),x10943)),f46(f46(f12(x10942),x10941),x10941)),f2(x10942),x10942)
% 0.94/1.13 [1095]~P45(x10952)+E(x10951,f2(x10952))+~P8(f46(f46(f3(x10952),f46(f46(f12(x10952),x10951),x10951)),f46(f46(f12(x10952),x10953),x10953)),f2(x10952),x10952)
% 0.94/1.13 [1149]~P3(x11492)+~P3(f26(a16,f24(x11491,x11492,f2(a1)),x11493,a45,a45))+P3(f26(a16,f46(f46(a16,f15(x11491)),x11492),x11493,a45,a45))
% 0.94/1.13 [582]~P6(x5821,x5824,x5823)+P6(x5821,x5822,x5823)+~P7(x5824,x5822)
% 0.94/1.13 [618]~P17(x6184)+E(x6181,x6182)+~E(f4(x6183,x6183,x6184),f4(x6181,x6182,x6184))
% 0.94/1.13 [619]~P17(x6193)+E(x6191,x6192)+~E(f4(x6191,x6192,x6193),f4(x6194,x6194,x6193))
% 0.94/1.13 [691]~P1(x6914)+~P4(x6911,x6913,x6914)+P4(x6911,f33(x6912,x6913,x6914),x6914)
% 0.94/1.13 [693]~P1(x6934)+~P4(x6931,x6932,x6934)+P4(x6931,f33(x6932,x6933,x6934),x6934)
% 0.94/1.13 [695]~P1(x6954)+~P8(x6951,x6953,x6954)+P8(x6951,f33(x6952,x6953,x6954),x6954)
% 0.94/1.13 [697]~P1(x6974)+~P8(x6971,x6972,x6974)+P8(x6971,f33(x6972,x6973,x6974),x6974)
% 0.94/1.13 [699]~P1(x6993)+~P4(x6992,x6994,x6993)+P4(f34(x6991,x6992,x6993),x6994,x6993)
% 0.94/1.13 [701]~P1(x7013)+~P4(x7011,x7014,x7013)+P4(f34(x7011,x7012,x7013),x7014,x7013)
% 0.94/1.13 [703]~P1(x7033)+~P8(x7032,x7034,x7033)+P8(f34(x7031,x7032,x7033),x7034,x7033)
% 0.94/1.13 [705]~P1(x7053)+~P8(x7051,x7054,x7053)+P8(f34(x7051,x7052,x7053),x7054,x7053)
% 0.94/1.13 [749]~P1(x7493)+P4(x7491,x7492,x7493)+~P4(x7491,f34(x7494,x7492,x7493),x7493)
% 0.94/1.13 [750]~P1(x7503)+P4(x7501,x7502,x7503)+~P4(x7501,f34(x7502,x7504,x7503),x7503)
% 0.94/1.13 [752]~P1(x7523)+P8(x7521,x7522,x7523)+~P8(x7521,f34(x7524,x7522,x7523),x7523)
% 0.94/1.13 [754]~P1(x7543)+P8(x7541,x7542,x7543)+~P8(x7541,f34(x7542,x7544,x7543),x7543)
% 0.94/1.13 [755]~P1(x7553)+P4(x7551,x7552,x7553)+~P4(f33(x7554,x7551,x7553),x7552,x7553)
% 0.94/1.13 [756]~P1(x7563)+P4(x7561,x7562,x7563)+~P4(f33(x7561,x7564,x7563),x7562,x7563)
% 0.94/1.13 [758]~P1(x7583)+P8(x7581,x7582,x7583)+~P8(f33(x7584,x7581,x7583),x7582,x7583)
% 0.94/1.13 [760]~P1(x7603)+P8(x7601,x7602,x7603)+~P8(f33(x7601,x7604,x7603),x7602,x7603)
% 0.94/1.13 [599]~P18(x5993)+E(x5991,x5992)+~E(f46(f46(f3(x5993),x5994),x5991),f46(f46(f3(x5993),x5994),x5992))
% 0.94/1.13 [600]~P21(x6003)+E(x6001,x6002)+~E(f46(f46(f3(x6003),x6004),x6001),f46(f46(f3(x6003),x6004),x6002))
% 0.94/1.13 [601]~P21(x6013)+E(x6011,x6012)+~E(f46(f46(f3(x6013),x6011),x6014),f46(f46(f3(x6013),x6012),x6014))
% 0.94/1.13 [728]~P4(x7284,x7283,a1)+P4(x7281,x7282,a1)+~E(f46(f46(f3(a1),x7281),x7283),f46(f46(f3(a1),x7284),x7282))
% 0.94/1.13 [813]~P12(x8131)+~P4(x8132,x8134,x8131)+P4(f46(f46(f3(x8131),x8132),x8133),f46(f46(f3(x8131),x8134),x8133),x8131)
% 0.94/1.13 [814]~P30(x8141)+~P4(x8142,x8144,x8141)+P4(f46(f46(f3(x8141),x8142),x8143),f46(f46(f3(x8141),x8144),x8143),x8141)
% 0.94/1.13 [815]~P12(x8151)+~P4(x8153,x8154,x8151)+P4(f46(f46(f3(x8151),x8152),x8153),f46(f46(f3(x8151),x8152),x8154),x8151)
% 0.94/1.13 [816]~P30(x8161)+~P4(x8163,x8164,x8161)+P4(f46(f46(f3(x8161),x8162),x8163),f46(f46(f3(x8161),x8162),x8164),x8161)
% 0.94/1.13 [817]~P12(x8171)+~P8(x8172,x8174,x8171)+P8(f46(f46(f3(x8171),x8172),x8173),f46(f46(f3(x8171),x8174),x8173),x8171)
% 0.94/1.13 [818]~P27(x8181)+~P8(x8182,x8184,x8181)+P8(f46(f46(f3(x8181),x8182),x8183),f46(f46(f3(x8181),x8184),x8183),x8181)
% 0.94/1.13 [819]~P12(x8191)+~P8(x8193,x8194,x8191)+P8(f46(f46(f3(x8191),x8192),x8193),f46(f46(f3(x8191),x8192),x8194),x8191)
% 0.94/1.13 [820]~P27(x8201)+~P8(x8203,x8204,x8201)+P8(f46(f46(f3(x8201),x8202),x8203),f46(f46(f3(x8201),x8202),x8204),x8201)
% 0.94/1.13 [882]~P4(x8822,x8824,a1)+~P4(x8821,x8823,a1)+P4(f46(f46(f3(a1),x8821),x8822),f46(f46(f3(a1),x8823),x8824),a1)
% 0.94/1.13 [883]~P8(x8832,x8834,a1)+~P8(x8831,x8833,a1)+P8(f46(f46(f3(a1),x8831),x8832),f46(f46(f3(a1),x8833),x8834),a1)
% 0.94/1.13 [884]~P8(x8842,x8844,a1)+~P8(x8841,x8843,a1)+P8(f46(f46(f12(a1),x8841),x8842),f46(f46(f12(a1),x8843),x8844),a1)
% 0.94/1.13 [962]~P12(x9623)+P4(x9621,x9622,x9623)+~P4(f46(f46(f3(x9623),x9624),x9621),f46(f46(f3(x9623),x9624),x9622),x9623)
% 0.94/1.13 [963]~P12(x9633)+P4(x9631,x9632,x9633)+~P4(f46(f46(f3(x9633),x9631),x9634),f46(f46(f3(x9633),x9632),x9634),x9633)
% 0.94/1.13 [964]~P12(x9643)+P8(x9641,x9642,x9643)+~P8(f46(f46(f3(x9643),x9644),x9641),f46(f46(f3(x9643),x9644),x9642),x9643)
% 0.94/1.13 [965]~P12(x9653)+P8(x9651,x9652,x9653)+~P8(f46(f46(f3(x9653),x9651),x9654),f46(f46(f3(x9653),x9652),x9654),x9653)
% 0.94/1.13 [787]~P2(x7872)+E(x7871,f2(x7872))+E(f5(f46(f46(f12(x7872),x7873),x7871),f46(f46(f12(x7872),x7874),x7871),x7872),f5(x7873,x7874,x7872))
% 0.94/1.13 [788]~P2(x7882)+E(x7881,f2(x7882))+E(f5(f46(f46(f12(x7882),x7881),x7883),f46(f46(f12(x7882),x7881),x7884),x7882),f5(x7883,x7884,x7882))
% 0.94/1.13 [920]E(x9201,x9202)+E(x9203,f2(a1))+~E(f46(f46(f3(a1),x9204),f46(f46(f12(a1),x9203),x9201)),f46(f46(f3(a1),x9204),f46(f46(f12(a1),x9203),x9202)))
% 0.94/1.13 [1061]~P39(x10611)+~P16(x10611)+E(f46(f46(f3(x10611),f46(f46(f12(x10611),x10612),x10613)),f46(f46(f12(x10611),x10612),x10614)),f46(f46(f3(x10611),f46(f46(f12(x10611),x10612),x10614)),f46(f46(f12(x10611),x10612),x10613)))
% 0.94/1.13 [1084]E(x10841,x10842)+E(x10843,x10844)+~E(f46(f46(f3(a1),f46(f46(f12(a1),x10843),x10841)),f46(f46(f12(a1),x10844),x10842)),f46(f46(f3(a1),f46(f46(f12(a1),x10843),x10842)),f46(f46(f12(a1),x10844),x10841)))
% 0.94/1.13 [1098]~P4(x10984,x10981,a1)+~P4(f2(a1),x10983,a1)+P4(f46(f46(f3(a1),f46(f46(f12(a1),x10981),f10(x10982,x10983,a1))),x10984),f46(f46(f12(a1),x10981),x10983),a1)
% 0.94/1.13 [1000]~P2(x10002)+E(x10001,f2(x10002))+E(f5(f46(f46(f3(x10002),x10003),f46(f46(f12(x10002),x10004),x10001)),x10001,x10002),f46(f46(f3(x10002),x10004),f5(x10003,x10001,x10002)))
% 0.94/1.13 [1001]~P2(x10012)+E(x10011,f2(x10012))+E(f5(f46(f46(f3(x10012),x10013),f46(f46(f12(x10012),x10011),x10014)),x10011,x10012),f46(f46(f3(x10012),x10014),f5(x10013,x10011,x10012)))
% 0.94/1.13 [606]E(x6061,x6062)+~E(f25(x6063,x6061,x6064),f25(x6065,x6062,x6064))+E(x6063,f2(a1))
% 0.94/1.13 [797]~P6(x7971,x7973,x7975)+~P6(x7971,x7972,f39(x7975,x7974))+P6(x7971,f46(f46(a16,x7972),x7973),x7974)
% 0.94/1.13 [1154]E(x11541,x11542)+~P6(x11543,f26(a16,f14(x11544),x11545,a45,a45),x11541)+~P6(x11543,f26(a16,f14(x11544),x11545,a45,a45),x11542)
% 0.94/1.13 [870]~P17(x8701)+E(f46(f46(f3(x8701),x8702),x8703),x8704)+~E(f46(f46(f3(x8701),x8702),f46(f46(f3(x8701),x8705),x8703)),f46(f46(f3(x8701),x8705),x8704))
% 0.94/1.13 [1103]~P8(x11033,x11032,a1)+E(x11031,f46(f46(f3(a1),f46(f46(f12(a1),f4(x11032,x11033,a1)),x11034)),x11035))+~E(f46(f46(f3(a1),f46(f46(f12(a1),x11033),x11034)),x11031),f46(f46(f3(a1),f46(f46(f12(a1),x11032),x11034)),x11035))
% 0.94/1.13 [1104]~P8(x11042,x11041,a1)+E(f46(f46(f3(a1),f46(f46(f12(a1),f4(x11041,x11042,a1)),x11043)),x11044),x11045)+~E(f46(f46(f3(a1),f46(f46(f12(a1),x11041),x11043)),x11044),f46(f46(f3(a1),f46(f46(f12(a1),x11042),x11043)),x11045))
% 0.94/1.13 [1124]~P8(x11243,x11242,a1)+P4(x11241,f46(f46(f3(a1),f46(f46(f12(a1),f4(x11242,x11243,a1)),x11244)),x11245),a1)+~P4(f46(f46(f3(a1),f46(f46(f12(a1),x11243),x11244)),x11241),f46(f46(f3(a1),f46(f46(f12(a1),x11242),x11244)),x11245),a1)
% 0.94/1.13 [1125]~P8(x11253,x11252,a1)+P8(x11251,f46(f46(f3(a1),f46(f46(f12(a1),f4(x11252,x11253,a1)),x11254)),x11255),a1)+~P8(f46(f46(f3(a1),f46(f46(f12(a1),x11253),x11254)),x11251),f46(f46(f3(a1),f46(f46(f12(a1),x11252),x11254)),x11255),a1)
% 0.94/1.13 [1126]~P8(x11262,x11261,a1)+P4(f46(f46(f3(a1),f46(f46(f12(a1),f4(x11261,x11262,a1)),x11263)),x11264),x11265,a1)+~P4(f46(f46(f3(a1),f46(f46(f12(a1),x11261),x11263)),x11264),f46(f46(f3(a1),f46(f46(f12(a1),x11262),x11263)),x11265),a1)
% 0.94/1.13 [1127]~P8(x11272,x11271,a1)+P8(f46(f46(f3(a1),f46(f46(f12(a1),f4(x11271,x11272,a1)),x11273)),x11274),x11275,a1)+~P8(f46(f46(f3(a1),f46(f46(f12(a1),x11271),x11273)),x11274),f46(f46(f3(a1),f46(f46(f12(a1),x11272),x11273)),x11275),a1)
% 0.94/1.13 [1138]~P8(x11381,x11384,a1)+~P4(x11383,f46(f46(f3(a1),f46(f46(f12(a1),f4(x11384,x11381,a1)),x11382)),x11385),a1)+P4(f46(f46(f3(a1),f46(f46(f12(a1),x11381),x11382)),x11383),f46(f46(f3(a1),f46(f46(f12(a1),x11384),x11382)),x11385),a1)
% 0.94/1.13 [1139]~P8(x11391,x11394,a1)+~P8(x11393,f46(f46(f3(a1),f46(f46(f12(a1),f4(x11394,x11391,a1)),x11392)),x11395),a1)+P8(f46(f46(f3(a1),f46(f46(f12(a1),x11391),x11392)),x11393),f46(f46(f3(a1),f46(f46(f12(a1),x11394),x11392)),x11395),a1)
% 0.94/1.13 [1140]~P8(x11404,x11401,a1)+~P4(f46(f46(f3(a1),f46(f46(f12(a1),f4(x11401,x11404,a1)),x11402)),x11403),x11405,a1)+P4(f46(f46(f3(a1),f46(f46(f12(a1),x11401),x11402)),x11403),f46(f46(f3(a1),f46(f46(f12(a1),x11404),x11402)),x11405),a1)
% 0.94/1.13 [1141]~P8(x11414,x11411,a1)+~P8(f46(f46(f3(a1),f46(f46(f12(a1),f4(x11411,x11414,a1)),x11412)),x11413),x11415,a1)+P8(f46(f46(f3(a1),f46(f46(f12(a1),x11411),x11412)),x11413),f46(f46(f3(a1),f46(f46(f12(a1),x11414),x11412)),x11415),a1)
% 0.94/1.13 [1088]~P6(x10881,x10883,x10886)+P6(x10881,f24(x10882,x10883,x10884),x10885)+~P6(f38(x10881,x10884,x10886,a48),x10882,x10885)
% 0.94/1.13 [1110]~P56(x11102)+~E(f46(f46(f3(x11102),f46(f46(f12(x11102),x11104),x11105)),x11101),f46(f46(f3(x11102),f46(f46(f12(x11102),x11103),x11105)),x11106))+E(x11101,f46(f46(f3(x11102),f46(f46(f12(x11102),f4(x11103,x11104,x11102)),x11105)),x11106))
% 0.94/1.13 [1111]~P56(x11111)+~E(f46(f46(f3(x11111),f46(f46(f12(x11111),x11112),x11114)),x11115),f46(f46(f3(x11111),f46(f46(f12(x11111),x11113),x11114)),x11116))+E(f46(f46(f3(x11111),f46(f46(f12(x11111),f4(x11112,x11113,x11111)),x11114)),x11115),x11116)
% 0.94/1.13 [1134]~P52(x11342)+~P4(f46(f46(f3(x11342),f46(f46(f12(x11342),x11344),x11345)),x11341),f46(f46(f3(x11342),f46(f46(f12(x11342),x11343),x11345)),x11346),x11342)+P4(x11341,f46(f46(f3(x11342),f46(f46(f12(x11342),f4(x11343,x11344,x11342)),x11345)),x11346),x11342)
% 0.94/1.13 [1135]~P52(x11352)+~P8(f46(f46(f3(x11352),f46(f46(f12(x11352),x11354),x11355)),x11351),f46(f46(f3(x11352),f46(f46(f12(x11352),x11353),x11355)),x11356),x11352)+P8(x11351,f46(f46(f3(x11352),f46(f46(f12(x11352),f4(x11353,x11354,x11352)),x11355)),x11356),x11352)
% 0.94/1.13 [1136]~P52(x11361)+~P4(f46(f46(f3(x11361),f46(f46(f12(x11361),x11362),x11364)),x11365),f46(f46(f3(x11361),f46(f46(f12(x11361),x11363),x11364)),x11366),x11361)+P4(f46(f46(f3(x11361),f46(f46(f12(x11361),f4(x11362,x11363,x11361)),x11364)),x11365),x11366,x11361)
% 0.94/1.13 [1137]~P52(x11371)+~P8(f46(f46(f3(x11371),f46(f46(f12(x11371),x11372),x11374)),x11375),f46(f46(f3(x11371),f46(f46(f12(x11371),x11373),x11374)),x11376),x11371)+P8(f46(f46(f3(x11371),f46(f46(f12(x11371),f4(x11372,x11373,x11371)),x11374)),x11375),x11376,x11371)
% 0.94/1.13 [1142]~P52(x11421)+~P4(x11424,f46(f46(f3(x11421),f46(f46(f12(x11421),f4(x11425,x11422,x11421)),x11423)),x11426),x11421)+P4(f46(f46(f3(x11421),f46(f46(f12(x11421),x11422),x11423)),x11424),f46(f46(f3(x11421),f46(f46(f12(x11421),x11425),x11423)),x11426),x11421)
% 0.94/1.13 [1143]~P52(x11431)+~P8(x11434,f46(f46(f3(x11431),f46(f46(f12(x11431),f4(x11435,x11432,x11431)),x11433)),x11436),x11431)+P8(f46(f46(f3(x11431),f46(f46(f12(x11431),x11432),x11433)),x11434),f46(f46(f3(x11431),f46(f46(f12(x11431),x11435),x11433)),x11436),x11431)
% 0.94/1.13 [1144]~P52(x11441)+~P4(f46(f46(f3(x11441),f46(f46(f12(x11441),f4(x11442,x11445,x11441)),x11443)),x11444),x11446,x11441)+P4(f46(f46(f3(x11441),f46(f46(f12(x11441),x11442),x11443)),x11444),f46(f46(f3(x11441),f46(f46(f12(x11441),x11445),x11443)),x11446),x11441)
% 0.94/1.13 [1145]~P52(x11451)+~P8(f46(f46(f3(x11451),f46(f46(f12(x11451),f4(x11452,x11455,x11451)),x11453)),x11454),x11456,x11451)+P8(f46(f46(f3(x11451),f46(f46(f12(x11451),x11452),x11453)),x11454),f46(f46(f3(x11451),f46(f46(f12(x11451),x11455),x11453)),x11456),x11451)
% 0.94/1.13 [448]~P48(x4482)+~P33(x4482)+E(x4481,f2(a1))+E(f46(f46(f37(x4482),f2(x4482)),x4481),f2(x4482))
% 0.94/1.13 [509]P4(x5091,x5092,x5093)+~P1(x5093)+E(x5091,x5092)+P4(x5092,x5091,x5093)
% 0.94/1.13 [510]P4(x5101,x5102,x5103)+~P44(x5103)+E(x5101,x5102)+P4(x5102,x5101,x5103)
% 0.94/1.13 [565]~P1(x5653)+~P8(x5651,x5652,x5653)+E(x5651,x5652)+P4(x5651,x5652,x5653)
% 0.94/1.13 [571]~P35(x5713)+~P8(x5711,x5712,x5713)+E(x5711,x5712)+P4(x5711,x5712,x5713)
% 0.94/1.13 [623]~P8(x6232,x6231,x6233)+~P8(x6231,x6232,x6233)+E(x6231,x6232)+~P35(x6233)
% 0.94/1.13 [637]P8(x6372,x6371,x6373)+~P34(x6373)+~P8(x6371,x6372,x6373)+P4(x6371,x6372,x6373)
% 0.94/1.13 [481]~P39(x4813)+~P16(x4813)+E(x4811,x4812)+~E(f4(x4811,x4812,x4813),f2(x4813))
% 0.94/1.13 [794]E(x7941,x7942)+~P8(x7943,x7942,a1)+~P8(x7943,x7941,a1)+~E(f4(x7941,x7943,a1),f4(x7942,x7943,a1))
% 0.94/1.13 [1048]~P8(x10483,x10481,a1)+P4(x10481,x10482,a1)+~P8(x10483,x10482,a1)+~P4(f4(x10481,x10483,a1),f4(x10482,x10483,a1),a1)
% 0.94/1.13 [1049]~P8(x10493,x10491,a1)+P8(x10491,x10492,a1)+~P8(x10493,x10492,a1)+~P8(f4(x10491,x10493,a1),f4(x10492,x10493,a1),a1)
% 0.94/1.13 [641]~P4(x6412,f7(x6411),a1)+P59(f46(x6411,x6412))+P59(f46(x6411,x6413))+~P59(f46(x6411,f2(a1)))
% 0.94/1.13 [706]~P4(x7063,f8(x7061,x7062),a1)+~P59(f46(x7061,x7062))+~P59(f46(x7061,x7063))+P59(f46(x7061,f2(a1)))
% 0.94/1.13 [862]~P32(x8621)+~P4(x8622,f11(x8621),x8621)+~P4(f2(x8621),x8622,x8621)+P4(f46(f46(f37(x8621),x8622),f35(x8623)),f11(x8621),x8621)
% 0.94/1.13 [474]~P39(x4742)+~P16(x4742)+E(x4741,f2(x4742))+~E(f46(f46(f3(x4742),x4743),x4741),x4743)
% 0.94/1.13 [476]~P42(x4762)+E(x4761,f2(x4762))+E(x4763,f2(x4762))+~E(f46(f46(f12(x4762),x4763),x4761),f2(x4762))
% 0.94/1.13 [477]~P53(x4772)+E(x4771,f2(x4772))+E(x4773,f2(x4772))+~E(f46(f46(f12(x4772),x4773),x4771),f2(x4772))
% 0.94/1.13 [825]~P32(x8251)+~P4(f11(x8251),x8252,x8251)+~P4(f2(a1),x8253,a1)+P4(f11(x8251),f46(f46(f37(x8251),x8252),x8253),x8251)
% 0.94/1.13 [828]~P45(x8281)+~P4(x8283,f2(x8281),x8281)+~P4(x8282,f2(x8281),x8281)+P4(f2(x8281),f46(f46(f12(x8281),x8282),x8283),x8281)
% 0.94/1.13 [830]~P52(x8301)+~P8(x8303,f2(x8301),x8301)+~P8(x8302,f2(x8301),x8301)+P8(f2(x8301),f46(f46(f12(x8301),x8302),x8303),x8301)
% 0.94/1.13 [831]~P45(x8311)+~P8(x8313,f2(x8311),x8311)+~P8(x8312,f2(x8311),x8311)+P8(f2(x8311),f46(f46(f12(x8311),x8312),x8313),x8311)
% 0.94/1.13 [832]~P29(x8321)+~P4(f2(x8321),x8323,x8321)+~P4(f2(x8321),x8322,x8321)+P4(f2(x8321),f46(f46(f3(x8321),x8322),x8323),x8321)
% 0.94/1.13 [833]~P29(x8331)+~P4(f2(x8331),x8333,x8331)+~P8(f2(x8331),x8332,x8331)+P4(f2(x8331),f46(f46(f3(x8331),x8332),x8333),x8331)
% 0.94/1.13 [834]~P29(x8341)+~P4(f2(x8341),x8342,x8341)+~P8(f2(x8341),x8343,x8341)+P4(f2(x8341),f46(f46(f3(x8341),x8342),x8343),x8341)
% 0.94/1.13 [835]~P46(x8351)+~P4(f2(x8351),x8353,x8351)+~P4(f2(x8351),x8352,x8351)+P4(f2(x8351),f46(f46(f12(x8351),x8352),x8353),x8351)
% 0.94/1.13 [836]~P32(x8361)+~P4(f11(x8361),x8363,x8361)+~P4(f11(x8361),x8362,x8361)+P4(f11(x8361),f46(f46(f12(x8361),x8362),x8363),x8361)
% 0.94/1.13 [837]~P29(x8371)+~P8(f2(x8371),x8373,x8371)+~P8(f2(x8371),x8372,x8371)+P8(f2(x8371),f46(f46(f3(x8371),x8372),x8373),x8371)
% 0.94/1.13 [838]~P52(x8381)+~P8(f2(x8381),x8383,x8381)+~P8(f2(x8381),x8382,x8381)+P8(f2(x8381),f46(f46(f12(x8381),x8382),x8383),x8381)
% 0.94/1.13 [839]~P45(x8391)+~P8(f2(x8391),x8393,x8391)+~P8(f2(x8391),x8392,x8391)+P8(f2(x8391),f46(f46(f12(x8391),x8392),x8393),x8391)
% 0.94/1.13 [840]~P50(x8401)+~P8(f2(x8401),x8403,x8401)+~P8(f2(x8401),x8402,x8401)+P8(f2(x8401),f46(f46(f12(x8401),x8402),x8403),x8401)
% 0.94/1.13 [841]~P29(x8411)+~P4(x8413,f2(x8411),x8411)+~P4(x8412,f2(x8411),x8411)+P4(f46(f46(f3(x8411),x8412),x8413),f2(x8411),x8411)
% 0.94/1.13 [842]~P29(x8421)+~P4(x8423,f2(x8421),x8421)+~P8(x8422,f2(x8421),x8421)+P4(f46(f46(f3(x8421),x8422),x8423),f2(x8421),x8421)
% 0.94/1.13 [843]~P29(x8431)+~P4(x8432,f2(x8431),x8431)+~P8(x8433,f2(x8431),x8431)+P4(f46(f46(f3(x8431),x8432),x8433),f2(x8431),x8431)
% 0.94/1.13 [844]~P29(x8441)+~P8(x8443,f2(x8441),x8441)+~P8(x8442,f2(x8441),x8441)+P8(f46(f46(f3(x8441),x8442),x8443),f2(x8441),x8441)
% 0.94/1.13 [845]~P46(x8451)+~P4(x8453,f2(x8451),x8451)+~P4(f2(x8451),x8452,x8451)+P4(f46(f46(f12(x8451),x8452),x8453),f2(x8451),x8451)
% 0.94/1.13 [847]~P46(x8471)+~P4(x8472,f2(x8471),x8471)+~P4(f2(x8471),x8473,x8471)+P4(f46(f46(f12(x8471),x8472),x8473),f2(x8471),x8471)
% 0.94/1.13 [848]~P45(x8481)+~P8(x8483,f2(x8481),x8481)+~P8(f2(x8481),x8482,x8481)+P8(f46(f46(f12(x8481),x8482),x8483),f2(x8481),x8481)
% 0.94/1.13 [849]~P45(x8491)+~P8(x8492,f2(x8491),x8491)+~P8(f2(x8491),x8493,x8491)+P8(f46(f46(f12(x8491),x8492),x8493),f2(x8491),x8491)
% 0.94/1.13 [851]~P50(x8511)+~P8(x8513,f2(x8511),x8511)+~P8(f2(x8511),x8512,x8511)+P8(f46(f46(f12(x8511),x8512),x8513),f2(x8511),x8511)
% 0.94/1.13 [854]~P50(x8541)+~P8(x8542,f2(x8541),x8541)+~P8(f2(x8541),x8543,x8541)+P8(f46(f46(f12(x8541),x8542),x8543),f2(x8541),x8541)
% 0.94/1.13 [871]~P45(x8712)+P8(x8711,f2(x8712),x8712)+P8(x8713,f2(x8712),x8712)+~P8(f46(f46(f12(x8712),x8713),x8711),f2(x8712),x8712)
% 0.94/1.13 [872]~P45(x8722)+P8(x8721,f2(x8722),x8722)+P8(f2(x8722),x8723,x8722)+~P8(f2(x8722),f46(f46(f12(x8722),x8723),x8721),x8722)
% 0.94/1.13 [873]~P45(x8732)+P8(x8731,f2(x8732),x8732)+P8(f2(x8732),x8733,x8732)+~P8(f2(x8732),f46(f46(f12(x8732),x8731),x8733),x8732)
% 0.94/1.13 [874]~P45(x8742)+P8(x8741,f2(x8742),x8742)+P8(f2(x8742),x8741,x8742)+~P8(f2(x8742),f46(f46(f12(x8742),x8743),x8741),x8742)
% 0.94/1.13 [875]~P45(x8752)+P8(x8751,f2(x8752),x8752)+P8(f2(x8752),x8751,x8752)+~P8(f2(x8752),f46(f46(f12(x8752),x8751),x8753),x8752)
% 0.94/1.13 [876]~P45(x8762)+P8(x8761,f2(x8762),x8762)+P8(f2(x8762),x8761,x8762)+~P8(f46(f46(f12(x8762),x8763),x8761),f2(x8762),x8762)
% 0.94/1.13 [877]~P45(x8772)+P8(x8771,f2(x8772),x8772)+P8(f2(x8772),x8771,x8772)+~P8(f46(f46(f12(x8772),x8771),x8773),f2(x8772),x8772)
% 0.94/1.13 [878]~P45(x8781)+P8(f2(x8781),x8782,x8781)+P8(f2(x8781),x8783,x8781)+~P8(f46(f46(f12(x8781),x8782),x8783),f2(x8781),x8781)
% 0.94/1.13 [907]~P46(x9071)+P4(f2(x9071),x9072,x9071)+~P4(f2(x9071),x9073,x9071)+~P4(f2(x9071),f46(f46(f12(x9071),x9073),x9072),x9071)
% 0.94/1.13 [908]~P46(x9081)+P4(f2(x9081),x9082,x9081)+~P4(f2(x9081),x9083,x9081)+~P4(f2(x9081),f46(f46(f12(x9081),x9082),x9083),x9081)
% 0.94/1.13 [1036]E(x10361,f5(x10362,x10363,a1))+~P4(f2(a1),x10363,a1)+~P4(x10362,f46(f46(f12(a1),x10363),f35(x10361)),a1)+~P8(f46(f46(f12(a1),x10363),x10361),x10362,a1)
% 0.94/1.13 [1052]~P32(x10521)+~P4(x10522,f11(x10521),x10521)+~P4(f2(x10521),x10522,x10521)+P4(f46(f46(f12(x10521),x10522),f46(f46(f37(x10521),x10522),x10523)),f46(f46(f37(x10521),x10522),x10523),x10521)
% 0.94/1.13 [669]~P34(x6693)+~P4(x6691,x6694,x6693)+P4(x6691,x6692,x6693)+~P4(x6694,x6692,x6693)
% 0.94/1.13 [670]~P34(x6703)+~P8(x6701,x6704,x6703)+P4(x6701,x6702,x6703)+~P4(x6704,x6702,x6703)
% 0.94/1.13 [671]~P34(x6713)+~P8(x6714,x6712,x6713)+P4(x6711,x6712,x6713)+~P4(x6711,x6714,x6713)
% 0.94/1.13 [672]~P35(x6723)+~P4(x6721,x6724,x6723)+P4(x6721,x6722,x6723)+~P4(x6724,x6722,x6723)
% 0.94/1.13 [673]~P35(x6733)+~P8(x6731,x6734,x6733)+P4(x6731,x6732,x6733)+~P4(x6734,x6732,x6733)
% 0.94/1.13 [674]~P35(x6743)+~P8(x6744,x6742,x6743)+P4(x6741,x6742,x6743)+~P4(x6741,x6744,x6743)
% 0.94/1.13 [675]~P34(x6753)+~P8(x6751,x6754,x6753)+P8(x6751,x6752,x6753)+~P8(x6754,x6752,x6753)
% 0.94/1.13 [676]~P35(x6763)+~P8(x6761,x6764,x6763)+P8(x6761,x6762,x6763)+~P8(x6764,x6762,x6763)
% 0.94/1.13 [798]~P1(x7984)+~P4(x7981,x7983,x7984)+~P4(x7981,x7982,x7984)+P4(x7981,f34(x7982,x7983,x7984),x7984)
% 0.94/1.13 [801]~P1(x8014)+~P8(x8011,x8013,x8014)+~P8(x8011,x8012,x8014)+P8(x8011,f34(x8012,x8013,x8014),x8014)
% 0.94/1.13 [802]~P1(x8023)+~P4(x8022,x8024,x8023)+~P4(x8021,x8024,x8023)+P4(f33(x8021,x8022,x8023),x8024,x8023)
% 0.94/1.13 [805]~P1(x8053)+~P8(x8052,x8054,x8053)+~P8(x8051,x8054,x8053)+P8(f33(x8051,x8052,x8053),x8054,x8053)
% 0.94/1.13 [858]~P1(x8583)+P4(x8581,x8582,x8583)+P4(x8581,x8584,x8583)+~P4(x8581,f33(x8582,x8584,x8583),x8583)
% 0.94/1.13 [859]~P1(x8593)+P8(x8591,x8592,x8593)+P8(x8591,x8594,x8593)+~P8(x8591,f33(x8592,x8594,x8593),x8593)
% 0.94/1.13 [860]~P1(x8603)+P4(x8601,x8602,x8603)+P4(x8604,x8602,x8603)+~P4(f34(x8601,x8604,x8603),x8602,x8603)
% 0.94/1.13 [861]~P1(x8613)+P8(x8611,x8612,x8613)+P8(x8614,x8612,x8613)+~P8(f34(x8611,x8614,x8613),x8612,x8613)
% 0.94/1.13 [1034]~P32(x10343)+P8(x10341,x10342,x10343)+~P8(f2(x10343),x10342,x10343)+~P8(f46(f46(f37(x10343),x10341),f35(x10344)),f46(f46(f37(x10343),x10342),f35(x10344)),x10343)
% 0.94/1.13 [620]~P39(x6203)+~P16(x6203)+E(x6201,x6202)+~E(f46(f46(f3(x6203),x6204),x6201),f46(f46(f3(x6203),x6204),x6202))
% 0.94/1.13 [721]~P32(x7213)+E(x7211,x7212)+~P4(f11(x7213),x7214,x7213)+~E(f46(f46(f37(x7213),x7214),x7211),f46(f46(f37(x7213),x7214),x7212))
% 0.94/1.13 [810]~P32(x8102)+~P4(x8101,x8104,x8102)+~P4(f2(x8102),x8103,x8102)+P4(x8101,f46(f46(f3(x8102),x8103),x8104),x8102)
% 0.94/1.13 [936]~P32(x9361)+~P4(x9363,x9364,a1)+~P4(f11(x9361),x9362,x9361)+P4(f46(f46(f37(x9361),x9362),x9363),f46(f46(f37(x9361),x9362),x9364),x9361)
% 0.94/1.13 [937]~P32(x9371)+~P8(x9373,x9374,a1)+~P4(f11(x9371),x9372,x9371)+P8(f46(f46(f37(x9371),x9372),x9373),f46(f46(f37(x9371),x9372),x9374),x9371)
% 0.94/1.13 [938]~P32(x9381)+~P8(x9383,x9384,a1)+~P8(f11(x9381),x9382,x9381)+P8(f46(f46(f37(x9381),x9382),x9383),f46(f46(f37(x9381),x9382),x9384),x9381)
% 0.94/1.13 [940]~P45(x9401)+~P4(x9404,x9402,x9401)+~P4(x9403,f2(x9401),x9401)+P4(f46(f46(f12(x9401),x9402),x9403),f46(f46(f12(x9401),x9404),x9403),x9401)
% 0.94/1.13 [943]~P45(x9431)+~P4(x9434,x9433,x9431)+~P4(x9432,f2(x9431),x9431)+P4(f46(f46(f12(x9431),x9432),x9433),f46(f46(f12(x9431),x9432),x9434),x9431)
% 0.94/1.13 [944]~P52(x9441)+~P8(x9444,x9442,x9441)+~P8(x9443,f2(x9441),x9441)+P8(f46(f46(f12(x9441),x9442),x9443),f46(f46(f12(x9441),x9444),x9443),x9441)
% 0.94/1.13 [945]~P52(x9451)+~P8(x9454,x9453,x9451)+~P8(x9452,f2(x9451),x9451)+P8(f46(f46(f12(x9451),x9452),x9453),f46(f46(f12(x9451),x9452),x9454),x9451)
% 0.94/1.13 [946]~P45(x9461)+~P8(x9464,x9463,x9461)+~P4(x9462,f2(x9461),x9461)+P8(f46(f46(f12(x9461),x9462),x9463),f46(f46(f12(x9461),x9462),x9464),x9461)
% 0.94/1.13 [947]~P46(x9471)+~P4(x9472,x9474,x9471)+~P4(f2(x9471),x9473,x9471)+P4(f46(f46(f12(x9471),x9472),x9473),f46(f46(f12(x9471),x9474),x9473),x9471)
% 0.94/1.13 [948]~P45(x9481)+~P4(x9482,x9484,x9481)+~P4(f2(x9481),x9483,x9481)+P4(f46(f46(f12(x9481),x9482),x9483),f46(f46(f12(x9481),x9484),x9483),x9481)
% 0.94/1.13 [949]~P46(x9491)+~P4(x9493,x9494,x9491)+~P4(f2(x9491),x9492,x9491)+P4(f46(f46(f12(x9491),x9492),x9493),f46(f46(f12(x9491),x9492),x9494),x9491)
% 0.94/1.13 [951]~P45(x9511)+~P4(x9513,x9514,x9511)+~P4(f2(x9511),x9512,x9511)+P4(f46(f46(f12(x9511),x9512),x9513),f46(f46(f12(x9511),x9512),x9514),x9511)
% 0.94/1.13 [952]~P41(x9521)+~P4(x9523,x9524,x9521)+~P4(f2(x9521),x9522,x9521)+P4(f46(f46(f12(x9521),x9522),x9523),f46(f46(f12(x9521),x9522),x9524),x9521)
% 0.94/1.13 [953]~P32(x9531)+~P8(x9532,x9534,x9531)+~P8(f2(x9531),x9532,x9531)+P8(f46(f46(f37(x9531),x9532),x9533),f46(f46(f37(x9531),x9534),x9533),x9531)
% 0.94/1.13 [954]~P38(x9541)+~P8(x9542,x9544,x9541)+~P8(f2(x9541),x9543,x9541)+P8(f46(f46(f12(x9541),x9542),x9543),f46(f46(f12(x9541),x9544),x9543),x9541)
% 0.94/1.13 [955]~P45(x9551)+~P8(x9553,x9554,x9551)+~P4(f2(x9551),x9552,x9551)+P8(f46(f46(f12(x9551),x9552),x9553),f46(f46(f12(x9551),x9552),x9554),x9551)
% 0.94/1.13 [956]~P38(x9561)+~P8(x9563,x9564,x9561)+~P8(f2(x9561),x9562,x9561)+P8(f46(f46(f12(x9561),x9562),x9563),f46(f46(f12(x9561),x9562),x9564),x9561)
% 0.94/1.13 [957]~P40(x9571)+~P8(x9573,x9574,x9571)+~P8(f2(x9571),x9572,x9571)+P8(f46(f46(f12(x9571),x9572),x9573),f46(f46(f12(x9571),x9572),x9574),x9571)
% 0.94/1.13 [991]P4(x9912,x9911,x9913)+~P45(x9913)+P4(x9911,x9912,x9913)+~P4(f46(f46(f12(x9913),x9914),x9911),f46(f46(f12(x9913),x9914),x9912),x9913)
% 0.94/1.13 [992]P4(x9922,x9921,x9923)+~P45(x9923)+P4(x9921,x9922,x9923)+~P4(f46(f46(f12(x9923),x9921),x9924),f46(f46(f12(x9923),x9922),x9924),x9923)
% 0.94/1.13 [993]~P45(x9933)+P4(x9931,x9932,x9933)+P4(x9934,f2(x9933),x9933)+~P4(f46(f46(f12(x9933),x9931),x9934),f46(f46(f12(x9933),x9932),x9934),x9933)
% 0.94/1.13 [994]~P45(x9943)+P4(x9941,x9942,x9943)+P4(x9944,f2(x9943),x9943)+~P4(f46(f46(f12(x9943),x9944),x9941),f46(f46(f12(x9943),x9944),x9942),x9943)
% 0.94/1.13 [995]~P45(x9953)+P4(x9951,x9952,x9953)+P4(f2(x9953),x9954,x9953)+~P4(f46(f46(f12(x9953),x9954),x9952),f46(f46(f12(x9953),x9954),x9951),x9953)
% 0.94/1.13 [996]~P45(x9963)+P4(x9961,x9962,x9963)+P4(f2(x9963),x9964,x9963)+~P4(f46(f46(f12(x9963),x9962),x9964),f46(f46(f12(x9963),x9961),x9964),x9963)
% 0.94/1.13 [1007]~P45(x10072)+P4(x10071,f2(x10072),x10072)+P4(f2(x10072),x10071,x10072)+~P4(f46(f46(f12(x10072),x10073),x10071),f46(f46(f12(x10072),x10074),x10071),x10072)
% 0.94/1.13 [1008]~P45(x10082)+P4(x10081,f2(x10082),x10082)+P4(f2(x10082),x10081,x10082)+~P4(f46(f46(f12(x10082),x10081),x10083),f46(f46(f12(x10082),x10081),x10084),x10082)
% 0.94/1.13 [1017]~P32(x10173)+P4(x10171,x10172,a1)+~P4(f11(x10173),x10174,x10173)+~P4(f46(f46(f37(x10173),x10174),x10171),f46(f46(f37(x10173),x10174),x10172),x10173)
% 0.94/1.13 [1019]~P32(x10193)+P8(x10191,x10192,a1)+~P4(f11(x10193),x10194,x10193)+~P8(f46(f46(f37(x10193),x10194),x10191),f46(f46(f37(x10193),x10194),x10192),x10193)
% 0.94/1.13 [1020]~P45(x10203)+P4(x10201,x10202,x10203)+~P4(x10204,f2(x10203),x10203)+~P4(f46(f46(f12(x10203),x10204),x10202),f46(f46(f12(x10203),x10204),x10201),x10203)
% 0.94/1.13 [1021]~P45(x10213)+P8(x10211,x10212,x10213)+~P4(x10214,f2(x10213),x10213)+~P8(f46(f46(f12(x10213),x10214),x10212),f46(f46(f12(x10213),x10214),x10211),x10213)
% 0.94/1.13 [1022]~P32(x10223)+P4(x10221,x10222,x10223)+~P8(f2(x10223),x10222,x10223)+~P4(f46(f46(f37(x10223),x10221),x10224),f46(f46(f37(x10223),x10222),x10224),x10223)
% 0.94/1.13 [1023]~P46(x10233)+P4(x10231,x10232,x10233)+~P8(f2(x10233),x10234,x10233)+~P4(f46(f46(f12(x10233),x10234),x10231),f46(f46(f12(x10233),x10234),x10232),x10233)
% 0.94/1.13 [1024]~P46(x10243)+P4(x10241,x10242,x10243)+~P8(f2(x10243),x10244,x10243)+~P4(f46(f46(f12(x10243),x10241),x10244),f46(f46(f12(x10243),x10242),x10244),x10243)
% 0.94/1.13 [1025]~P45(x10253)+P4(x10251,x10252,x10253)+~P4(f2(x10253),x10254,x10253)+~P4(f46(f46(f12(x10253),x10254),x10251),f46(f46(f12(x10253),x10254),x10252),x10253)
% 0.94/1.13 [1026]~P47(x10263)+P4(x10261,x10262,x10263)+~P8(f2(x10263),x10264,x10263)+~P4(f46(f46(f12(x10263),x10264),x10261),f46(f46(f12(x10263),x10264),x10262),x10263)
% 0.94/1.13 [1027]~P47(x10273)+P4(x10271,x10272,x10273)+~P8(f2(x10273),x10274,x10273)+~P4(f46(f46(f12(x10273),x10271),x10274),f46(f46(f12(x10273),x10272),x10274),x10273)
% 0.94/1.13 [1028]~P46(x10283)+P8(x10281,x10282,x10283)+~P4(f2(x10283),x10284,x10283)+~P8(f46(f46(f12(x10283),x10284),x10281),f46(f46(f12(x10283),x10284),x10282),x10283)
% 0.94/1.13 [1029]~P46(x10293)+P8(x10291,x10292,x10293)+~P4(f2(x10293),x10294,x10293)+~P8(f46(f46(f12(x10293),x10291),x10294),f46(f46(f12(x10293),x10292),x10294),x10293)
% 0.94/1.13 [1030]~P45(x10303)+P8(x10301,x10302,x10303)+~P4(f2(x10303),x10304,x10303)+~P8(f46(f46(f12(x10303),x10304),x10301),f46(f46(f12(x10303),x10304),x10302),x10303)
% 0.94/1.13 [1066]~P59(f46(x10661,x10664))+~P4(x10662,f46(f46(f12(a1),x10663),f35(x10664)),a1)+~P8(f46(f46(f12(a1),x10663),x10664),x10662,a1)+P59(f46(x10661,f5(x10662,x10663,a1)))
% 0.94/1.13 [1121]~P4(x11214,x11211,a1)+E(x11211,f2(a1))+P59(f46(x11212,x11213))+~P59(f46(x11212,f5(f46(f46(f3(a1),f46(f46(f12(a1),x11211),x11213)),x11214),x11211,a1)))
% 0.94/1.13 [1122]~P4(x11223,x11221,a1)+E(x11221,f2(a1))+P59(f46(x11222,x11223))+~P59(f46(x11222,f10(f46(f46(f3(a1),f46(f46(f12(a1),x11221),x11224)),x11223),x11221,a1)))
% 0.94/1.13 [771]~P28(x7713)+~P4(x7714,x7715,x7713)+P4(x7711,x7712,x7713)+~E(f4(x7714,x7715,x7713),f4(x7711,x7712,x7713))
% 0.94/1.13 [772]~P28(x7723)+~P4(x7724,x7725,x7723)+P4(x7721,x7722,x7723)+~E(f4(x7721,x7722,x7723),f4(x7724,x7725,x7723))
% 0.94/1.13 [773]~P28(x7733)+~P8(x7735,x7734,x7733)+P8(x7731,x7732,x7733)+~E(f4(x7734,x7735,x7733),f4(x7732,x7731,x7733))
% 0.94/1.13 [774]~P28(x7743)+~P8(x7745,x7744,x7743)+P8(x7741,x7742,x7743)+~E(f4(x7742,x7741,x7743),f4(x7744,x7745,x7743))
% 0.94/1.13 [927]~P30(x9271)+~P4(x9273,x9275,x9271)+~P4(x9272,x9274,x9271)+P4(f46(f46(f3(x9271),x9272),x9273),f46(f46(f3(x9271),x9274),x9275),x9271)
% 0.94/1.13 [928]~P30(x9281)+~P4(x9283,x9285,x9281)+~P8(x9282,x9284,x9281)+P4(f46(f46(f3(x9281),x9282),x9283),f46(f46(f3(x9281),x9284),x9285),x9281)
% 0.94/1.13 [929]~P30(x9291)+~P4(x9292,x9294,x9291)+~P8(x9293,x9295,x9291)+P4(f46(f46(f3(x9291),x9292),x9293),f46(f46(f3(x9291),x9294),x9295),x9291)
% 0.94/1.13 [930]~P27(x9301)+~P8(x9303,x9305,x9301)+~P8(x9302,x9304,x9301)+P8(f46(f46(f3(x9301),x9302),x9303),f46(f46(f3(x9301),x9304),x9305),x9301)
% 0.94/1.13 [975]~P28(x9752)+~P8(x9755,x9754,x9752)+~P8(x9751,f46(f46(f3(x9752),x9753),x9755),x9752)+P8(x9751,f46(f46(f3(x9752),x9753),x9754),x9752)
% 0.94/1.13 [1055]~P10(x10553)+~E(f10(x10551,x10554,x10553),f10(x10555,x10554,x10553))+~E(f10(x10552,x10554,x10553),f10(x10556,x10554,x10553))+E(f10(f4(x10551,x10552,x10553),x10554,x10553),f10(f4(x10555,x10556,x10553),x10554,x10553))
% 0.94/1.13 [1053]~P2(x10531)+~E(f10(x10532,x10534,x10531),f10(x10535,x10534,x10531))+~E(f10(x10533,x10534,x10531),f10(x10536,x10534,x10531))+E(f10(f46(f46(f3(x10531),x10532),x10533),x10534,x10531),f10(f46(f46(f3(x10531),x10535),x10536),x10534,x10531))
% 0.94/1.13 [1054]~P2(x10541)+~E(f10(x10542,x10544,x10541),f10(x10545,x10544,x10541))+~E(f10(x10543,x10544,x10541),f10(x10546,x10544,x10541))+E(f10(f46(f46(f12(x10541),x10542),x10543),x10544,x10541),f10(f46(f46(f12(x10541),x10545),x10546),x10544,x10541))
% 0.94/1.13 [512]~P33(x5121)+~P58(x5121)+~P42(x5121)+~P43(x5121)+~E(f46(f46(f37(x5121),x5122),f2(a1)),f2(x5121))
% 0.94/1.13 [734]~P29(x7342)+~P8(f2(x7342),x7341,x7342)+~P8(f2(x7342),x7343,x7342)+E(x7341,f2(x7342))+~E(f46(f46(f3(x7342),x7343),x7341),f2(x7342))
% 0.94/1.13 [735]~P29(x7352)+~P8(f2(x7352),x7353,x7352)+~P8(f2(x7352),x7351,x7352)+E(x7351,f2(x7352))+~E(f46(f46(f3(x7352),x7351),x7353),f2(x7352))
% 0.94/1.13 [958]~P44(x9581)+~P8(x9582,f11(x9581),x9581)+~P8(f2(x9581),x9583,x9581)+~P8(f2(x9581),x9582,x9581)+P8(f46(f46(f12(x9581),x9582),x9583),x9583,x9581)
% 0.94/1.13 [959]~P44(x9591)+~P8(x9593,f11(x9591),x9591)+~P8(f2(x9591),x9593,x9591)+~P8(f2(x9591),x9592,x9591)+P8(f46(f46(f12(x9591),x9592),x9593),x9592,x9591)
% 0.94/1.13 [869]~P32(x8693)+E(x8691,x8692)+~P8(f2(x8693),x8692,x8693)+~P8(f2(x8693),x8691,x8693)+~E(f46(f46(f37(x8693),x8691),f35(x8694)),f46(f46(f37(x8693),x8692),f35(x8694)))
% 0.94/1.13 [821]~P12(x8212)+~P13(x8212)+~P4(x8211,x8214,x8212)+~P8(f2(x8212),x8213,x8212)+P4(x8211,f46(f46(f3(x8212),x8213),x8214),x8212)
% 0.94/1.13 [822]~P12(x8222)+~P13(x8222)+~P8(x8221,x8224,x8222)+~P4(f2(x8222),x8223,x8222)+P4(x8221,f46(f46(f3(x8222),x8223),x8224),x8222)
% 0.94/1.13 [823]~P12(x8232)+~P13(x8232)+~P8(x8231,x8234,x8232)+~P8(f2(x8232),x8233,x8232)+P8(x8231,f46(f46(f3(x8232),x8233),x8234),x8232)
% 0.94/1.13 [824]~P12(x8242)+~P13(x8242)+~P8(x8241,x8243,x8242)+~P8(f2(x8242),x8244,x8242)+P8(x8241,f46(f46(f3(x8242),x8243),x8244),x8242)
% 0.94/1.13 [1009]~P32(x10091)+~P4(x10092,x10094,x10091)+~P8(f2(x10091),x10092,x10091)+~P4(f2(a1),x10093,a1)+P4(f46(f46(f37(x10091),x10092),x10093),f46(f46(f37(x10091),x10094),x10093),x10091)
% 0.94/1.13 [1011]~P32(x10111)+~P4(x10114,x10113,a1)+~P4(x10112,f11(x10111),x10111)+~P4(f2(x10111),x10112,x10111)+P4(f46(f46(f37(x10111),x10112),x10113),f46(f46(f37(x10111),x10112),x10114),x10111)
% 0.94/1.13 [1012]~P32(x10121)+~P8(x10124,x10123,a1)+~P8(x10122,f11(x10121),x10121)+~P8(f2(x10121),x10122,x10121)+P8(f46(f46(f37(x10121),x10122),x10123),f46(f46(f37(x10121),x10122),x10124),x10121)
% 0.94/1.13 [978]~P39(x9784)+~P16(x9784)+E(x9781,x9782)+E(x9783,f2(x9784))+~E(f46(f46(f3(x9784),x9785),f46(f46(f12(x9784),x9783),x9781)),f46(f46(f3(x9784),x9785),f46(f46(f12(x9784),x9783),x9782)))
% 0.94/1.13 [1090]~P39(x10905)+~P16(x10905)+E(x10901,x10902)+E(x10903,x10904)+~E(f46(f46(f3(x10905),f46(f46(f12(x10905),x10903),x10901)),f46(f46(f12(x10905),x10904),x10902)),f46(f46(f3(x10905),f46(f46(f12(x10905),x10903),x10902)),f46(f46(f12(x10905),x10904),x10901)))
% 0.94/1.13 [471]~P33(x4712)+~P58(x4712)+~P42(x4712)+~P43(x4712)+E(x4711,f2(a1))+E(f46(f46(f37(x4712),f2(x4712)),x4711),f2(x4712))
% 0.94/1.13 [513]~P33(x5132)+~P58(x5132)+~P42(x5132)+~P43(x5132)+E(x5131,f2(x5132))+~E(f46(f46(f37(x5132),x5131),x5133),f2(x5132))
% 0.94/1.13 [960]~P32(x9603)+E(x9601,x9602)+~P8(f2(x9603),x9602,x9603)+~P8(f2(x9603),x9601,x9603)+~P4(f2(a1),x9604,a1)+~E(f46(f46(f37(x9603),x9601),x9604),f46(f46(f37(x9603),x9602),x9604))
% 0.94/1.13 [1042]~P46(x10421)+~P4(x10423,x10425,x10421)+~P4(x10422,x10424,x10421)+~P4(f2(x10421),x10424,x10421)+~P8(f2(x10421),x10423,x10421)+P4(f46(f46(f12(x10421),x10422),x10423),f46(f46(f12(x10421),x10424),x10425),x10421)
% 0.94/1.13 [1043]~P46(x10431)+~P4(x10433,x10435,x10431)+~P4(x10432,x10434,x10431)+~P8(f2(x10431),x10433,x10431)+~P8(f2(x10431),x10432,x10431)+P4(f46(f46(f12(x10431),x10432),x10433),f46(f46(f12(x10431),x10434),x10435),x10431)
% 0.94/1.13 [1044]~P46(x10441)+~P4(x10443,x10445,x10441)+~P8(x10442,x10444,x10441)+~P4(f2(x10441),x10442,x10441)+~P8(f2(x10441),x10443,x10441)+P4(f46(f46(f12(x10441),x10442),x10443),f46(f46(f12(x10441),x10444),x10445),x10441)
% 0.94/1.13 [1045]~P46(x10451)+~P4(x10452,x10454,x10451)+~P8(x10453,x10455,x10451)+~P4(f2(x10451),x10453,x10451)+~P8(f2(x10451),x10452,x10451)+P4(f46(f46(f12(x10451),x10452),x10453),f46(f46(f12(x10451),x10454),x10455),x10451)
% 0.94/1.13 [1046]~P51(x10461)+~P8(x10463,x10465,x10461)+~P8(x10462,x10464,x10461)+~P8(f2(x10461),x10464,x10461)+~P8(f2(x10461),x10463,x10461)+P8(f46(f46(f12(x10461),x10462),x10463),f46(f46(f12(x10461),x10464),x10465),x10461)
% 0.94/1.13 [1047]~P51(x10471)+~P8(x10473,x10475,x10471)+~P8(x10472,x10474,x10471)+~P8(f2(x10471),x10473,x10471)+~P8(f2(x10471),x10472,x10471)+P8(f46(f46(f12(x10471),x10472),x10473),f46(f46(f12(x10471),x10474),x10475),x10471)
% 0.94/1.13 [1086]~P3(x10862)+~P3(x10861)+~P6(x10866,x10862,x10865)+~P6(f38(x10866,x10863,x10865,a48),x10861,x10867)+P3(f24(x10861,x10862,x10863))+~E(f39(x10864,x10865),a52)
% 0.94/1.13 [1087]~P3(x10872)+~P3(x10871)+~P6(x10876,x10872,x10874)+~P6(f38(x10876,x10873,x10874,a48),x10871,x10877)+P3(f24(x10871,x10872,x10873))+~E(f39(x10874,x10875),a52)
% 0.94/1.13 %EqnAxiom
% 0.94/1.13 [1]E(x11,x11)
% 0.94/1.13 [2]E(x22,x21)+~E(x21,x22)
% 0.94/1.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.94/1.13 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.94/1.13 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.94/1.13 [6]~E(x61,x62)+E(f46(x61,x63),f46(x62,x63))
% 0.94/1.13 [7]~E(x71,x72)+E(f46(x73,x71),f46(x73,x72))
% 0.94/1.13 [8]~E(x81,x82)+E(f32(x81),f32(x82))
% 0.94/1.13 [9]~E(x91,x92)+E(f4(x91,x93,x94),f4(x92,x93,x94))
% 0.94/1.13 [10]~E(x101,x102)+E(f4(x103,x101,x104),f4(x103,x102,x104))
% 0.94/1.13 [11]~E(x111,x112)+E(f4(x113,x114,x111),f4(x113,x114,x112))
% 0.94/1.13 [12]~E(x121,x122)+E(f14(x121),f14(x122))
% 0.94/1.13 [13]~E(x131,x132)+E(f34(x131,x133,x134),f34(x132,x133,x134))
% 0.94/1.13 [14]~E(x141,x142)+E(f34(x143,x141,x144),f34(x143,x142,x144))
% 0.94/1.13 [15]~E(x151,x152)+E(f34(x153,x154,x151),f34(x153,x154,x152))
% 0.94/1.13 [16]~E(x161,x162)+E(f17(x161),f17(x162))
% 0.94/1.13 [17]~E(x171,x172)+E(f12(x171),f12(x172))
% 0.94/1.13 [18]~E(x181,x182)+E(f20(x181,x183),f20(x182,x183))
% 0.94/1.13 [19]~E(x191,x192)+E(f20(x193,x191),f20(x193,x192))
% 0.94/1.13 [20]~E(x201,x202)+E(f11(x201),f11(x202))
% 0.94/1.13 [21]~E(x211,x212)+E(f3(x211),f3(x212))
% 0.94/1.13 [22]~E(x221,x222)+E(f33(x221,x223,x224),f33(x222,x223,x224))
% 0.94/1.13 [23]~E(x231,x232)+E(f33(x233,x231,x234),f33(x233,x232,x234))
% 0.94/1.13 [24]~E(x241,x242)+E(f33(x243,x244,x241),f33(x243,x244,x242))
% 0.94/1.13 [25]~E(x251,x252)+E(f31(x251,x253),f31(x252,x253))
% 0.94/1.13 [26]~E(x261,x262)+E(f31(x263,x261),f31(x263,x262))
% 0.94/1.13 [27]~E(x271,x272)+E(f10(x271,x273,x274),f10(x272,x273,x274))
% 0.94/1.13 [28]~E(x281,x282)+E(f10(x283,x281,x284),f10(x283,x282,x284))
% 0.94/1.13 [29]~E(x291,x292)+E(f10(x293,x294,x291),f10(x293,x294,x292))
% 0.94/1.13 [30]~E(x301,x302)+E(f35(x301),f35(x302))
% 0.94/1.13 [31]~E(x311,x312)+E(f18(x311,x313,x314,x315,x316),f18(x312,x313,x314,x315,x316))
% 0.94/1.13 [32]~E(x321,x322)+E(f18(x323,x321,x324,x325,x326),f18(x323,x322,x324,x325,x326))
% 0.94/1.13 [33]~E(x331,x332)+E(f18(x333,x334,x331,x335,x336),f18(x333,x334,x332,x335,x336))
% 0.94/1.13 [34]~E(x341,x342)+E(f18(x343,x344,x345,x341,x346),f18(x343,x344,x345,x342,x346))
% 0.94/1.13 [35]~E(x351,x352)+E(f18(x353,x354,x355,x356,x351),f18(x353,x354,x355,x356,x352))
% 0.94/1.13 [36]~E(x361,x362)+E(f5(x361,x363,x364),f5(x362,x363,x364))
% 0.94/1.13 [37]~E(x371,x372)+E(f5(x373,x371,x374),f5(x373,x372,x374))
% 0.94/1.13 [38]~E(x381,x382)+E(f5(x383,x384,x381),f5(x383,x384,x382))
% 0.94/1.13 [39]~E(x391,x392)+E(f43(x391,x393,x394),f43(x392,x393,x394))
% 0.94/1.13 [40]~E(x401,x402)+E(f43(x403,x401,x404),f43(x403,x402,x404))
% 0.94/1.13 [41]~E(x411,x412)+E(f43(x413,x414,x411),f43(x413,x414,x412))
% 0.94/1.13 [42]~E(x421,x422)+E(f15(x421),f15(x422))
% 0.94/1.13 [43]~E(x431,x432)+E(f37(x431),f37(x432))
% 0.94/1.13 [44]~E(x441,x442)+E(f9(x441),f9(x442))
% 0.94/1.13 [45]~E(x451,x452)+E(f22(x451,x453),f22(x452,x453))
% 0.94/1.13 [46]~E(x461,x462)+E(f22(x463,x461),f22(x463,x462))
% 0.94/1.13 [47]~E(x471,x472)+E(f29(x471,x473),f29(x472,x473))
% 0.94/1.13 [48]~E(x481,x482)+E(f29(x483,x481),f29(x483,x482))
% 0.94/1.13 [49]~E(x491,x492)+E(f59(x491),f59(x492))
% 0.94/1.13 [50]~E(x501,x502)+E(f49(x501,x503),f49(x502,x503))
% 0.94/1.13 [51]~E(x511,x512)+E(f49(x513,x511),f49(x513,x512))
% 0.94/1.13 [52]~E(x521,x522)+E(f7(x521),f7(x522))
% 0.94/1.13 [53]~E(x531,x532)+E(f26(x531,x533,x534,x535,x536),f26(x532,x533,x534,x535,x536))
% 0.94/1.13 [54]~E(x541,x542)+E(f26(x543,x541,x544,x545,x546),f26(x543,x542,x544,x545,x546))
% 0.94/1.13 [55]~E(x551,x552)+E(f26(x553,x554,x551,x555,x556),f26(x553,x554,x552,x555,x556))
% 0.94/1.13 [56]~E(x561,x562)+E(f26(x563,x564,x565,x561,x566),f26(x563,x564,x565,x562,x566))
% 0.94/1.13 [57]~E(x571,x572)+E(f26(x573,x574,x575,x576,x571),f26(x573,x574,x575,x576,x572))
% 0.94/1.13 [58]~E(x581,x582)+E(f23(x581,x583,x584),f23(x582,x583,x584))
% 0.94/1.13 [59]~E(x591,x592)+E(f23(x593,x591,x594),f23(x593,x592,x594))
% 0.94/1.13 [60]~E(x601,x602)+E(f23(x603,x604,x601),f23(x603,x604,x602))
% 0.94/1.13 [61]~E(x611,x612)+E(f6(x611),f6(x612))
% 0.94/1.13 [62]~E(x621,x622)+E(f24(x621,x623,x624),f24(x622,x623,x624))
% 0.94/1.13 [63]~E(x631,x632)+E(f24(x633,x631,x634),f24(x633,x632,x634))
% 0.94/1.13 [64]~E(x641,x642)+E(f24(x643,x644,x641),f24(x643,x644,x642))
% 0.94/1.13 [65]~E(x651,x652)+E(f60(x651),f60(x652))
% 0.94/1.13 [66]~E(x661,x662)+E(f58(x661),f58(x662))
% 0.94/1.13 [67]~E(x671,x672)+E(f38(x671,x673,x674,x675),f38(x672,x673,x674,x675))
% 0.94/1.13 [68]~E(x681,x682)+E(f38(x683,x681,x684,x685),f38(x683,x682,x684,x685))
% 0.94/1.13 [69]~E(x691,x692)+E(f38(x693,x694,x691,x695),f38(x693,x694,x692,x695))
% 0.94/1.13 [70]~E(x701,x702)+E(f38(x703,x704,x705,x701),f38(x703,x704,x705,x702))
% 0.94/1.13 [71]~E(x711,x712)+E(f28(x711,x713,x714,x715),f28(x712,x713,x714,x715))
% 0.94/1.13 [72]~E(x721,x722)+E(f28(x723,x721,x724,x725),f28(x723,x722,x724,x725))
% 0.94/1.13 [73]~E(x731,x732)+E(f28(x733,x734,x731,x735),f28(x733,x734,x732,x735))
% 0.94/1.13 [74]~E(x741,x742)+E(f28(x743,x744,x745,x741),f28(x743,x744,x745,x742))
% 0.94/1.13 [75]~E(x751,x752)+E(f57(x751),f57(x752))
% 0.94/1.13 [76]~E(x761,x762)+E(f27(x761,x763,x764,x765),f27(x762,x763,x764,x765))
% 0.94/1.13 [77]~E(x771,x772)+E(f27(x773,x771,x774,x775),f27(x773,x772,x774,x775))
% 0.94/1.13 [78]~E(x781,x782)+E(f27(x783,x784,x781,x785),f27(x783,x784,x782,x785))
% 0.94/1.13 [79]~E(x791,x792)+E(f27(x793,x794,x795,x791),f27(x793,x794,x795,x792))
% 0.94/1.13 [80]~E(x801,x802)+E(f36(x801,x803,x804),f36(x802,x803,x804))
% 0.94/1.13 [81]~E(x811,x812)+E(f36(x813,x811,x814),f36(x813,x812,x814))
% 0.94/1.13 [82]~E(x821,x822)+E(f36(x823,x824,x821),f36(x823,x824,x822))
% 0.94/1.13 [83]~E(x831,x832)+E(f39(x831,x833),f39(x832,x833))
% 0.94/1.13 [84]~E(x841,x842)+E(f39(x843,x841),f39(x843,x842))
% 0.94/1.13 [85]~E(x851,x852)+E(f19(x851,x853,x854,x855,x856),f19(x852,x853,x854,x855,x856))
% 0.94/1.13 [86]~E(x861,x862)+E(f19(x863,x861,x864,x865,x866),f19(x863,x862,x864,x865,x866))
% 0.94/1.13 [87]~E(x871,x872)+E(f19(x873,x874,x871,x875,x876),f19(x873,x874,x872,x875,x876))
% 0.94/1.13 [88]~E(x881,x882)+E(f19(x883,x884,x885,x881,x886),f19(x883,x884,x885,x882,x886))
% 0.94/1.13 [89]~E(x891,x892)+E(f19(x893,x894,x895,x896,x891),f19(x893,x894,x895,x896,x892))
% 0.94/1.13 [90]~E(x901,x902)+E(f25(x901,x903,x904),f25(x902,x903,x904))
% 0.94/1.13 [91]~E(x911,x912)+E(f25(x913,x911,x914),f25(x913,x912,x914))
% 0.94/1.13 [92]~E(x921,x922)+E(f25(x923,x924,x921),f25(x923,x924,x922))
% 0.94/1.13 [93]~E(x931,x932)+E(f30(x931,x933,x934,x935),f30(x932,x933,x934,x935))
% 0.94/1.13 [94]~E(x941,x942)+E(f30(x943,x941,x944,x945),f30(x943,x942,x944,x945))
% 0.94/1.13 [95]~E(x951,x952)+E(f30(x953,x954,x951,x955),f30(x953,x954,x952,x955))
% 0.94/1.13 [96]~E(x961,x962)+E(f30(x963,x964,x965,x961),f30(x963,x964,x965,x962))
% 0.94/1.13 [97]~E(x971,x972)+E(f56(x971),f56(x972))
% 0.94/1.13 [98]~E(x981,x982)+E(f42(x981,x983),f42(x982,x983))
% 0.94/1.13 [99]~E(x991,x992)+E(f42(x993,x991),f42(x993,x992))
% 0.94/1.13 [100]~E(x1001,x1002)+E(f21(x1001,x1003,x1004),f21(x1002,x1003,x1004))
% 0.94/1.13 [101]~E(x1011,x1012)+E(f21(x1013,x1011,x1014),f21(x1013,x1012,x1014))
% 0.94/1.13 [102]~E(x1021,x1022)+E(f21(x1023,x1024,x1021),f21(x1023,x1024,x1022))
% 0.94/1.13 [103]~E(x1031,x1032)+E(f8(x1031,x1033),f8(x1032,x1033))
% 0.94/1.13 [104]~E(x1041,x1042)+E(f8(x1043,x1041),f8(x1043,x1042))
% 0.94/1.13 [105]~E(x1051,x1052)+E(f40(x1051,x1053,x1054),f40(x1052,x1053,x1054))
% 0.94/1.13 [106]~E(x1061,x1062)+E(f40(x1063,x1061,x1064),f40(x1063,x1062,x1064))
% 0.94/1.13 [107]~E(x1071,x1072)+E(f40(x1073,x1074,x1071),f40(x1073,x1074,x1072))
% 0.94/1.13 [108]~E(x1081,x1082)+E(f41(x1081,x1083),f41(x1082,x1083))
% 0.94/1.13 [109]~E(x1091,x1092)+E(f41(x1093,x1091),f41(x1093,x1092))
% 0.94/1.13 [110]~P1(x1101)+P1(x1102)+~E(x1101,x1102)
% 0.94/1.13 [111]~P32(x1111)+P32(x1112)+~E(x1111,x1112)
% 0.94/1.13 [112]~P2(x1121)+P2(x1122)+~E(x1121,x1122)
% 0.94/1.13 [113]~P46(x1131)+P46(x1132)+~E(x1131,x1132)
% 0.94/1.13 [114]~P48(x1141)+P48(x1142)+~E(x1141,x1142)
% 0.94/1.13 [115]~P33(x1151)+P33(x1152)+~E(x1151,x1152)
% 0.94/1.13 [116]~P11(x1161)+P11(x1162)+~E(x1161,x1162)
% 0.94/1.13 [117]~P12(x1171)+P12(x1172)+~E(x1171,x1172)
% 0.94/1.13 [118]~P13(x1181)+P13(x1182)+~E(x1181,x1182)
% 0.94/1.13 [119]~P36(x1191)+P36(x1192)+~E(x1191,x1192)
% 0.94/1.13 [120]~P22(x1201)+P22(x1202)+~E(x1201,x1202)
% 0.94/1.13 [121]~P23(x1211)+P23(x1212)+~E(x1211,x1212)
% 0.94/1.13 [122]~P27(x1221)+P27(x1222)+~E(x1221,x1222)
% 0.94/1.13 [123]~P29(x1231)+P29(x1232)+~E(x1231,x1232)
% 0.94/1.13 [124]~P34(x1241)+P34(x1242)+~E(x1241,x1242)
% 0.94/1.13 [125]~P35(x1251)+P35(x1252)+~E(x1251,x1252)
% 0.94/1.13 [126]~P14(x1261)+P14(x1262)+~E(x1261,x1262)
% 0.94/1.13 [127]~P31(x1271)+P31(x1272)+~E(x1271,x1272)
% 0.94/1.13 [128]~P15(x1281)+P15(x1282)+~E(x1281,x1282)
% 0.94/1.13 [129]~P47(x1291)+P47(x1292)+~E(x1291,x1292)
% 0.94/1.13 [130]~P24(x1301)+P24(x1302)+~E(x1301,x1302)
% 0.94/1.13 [131]~P3(x1311)+P3(x1312)+~E(x1311,x1312)
% 0.94/1.13 [132]~P57(x1321)+P57(x1322)+~E(x1321,x1322)
% 0.94/1.13 [133]~P49(x1331)+P49(x1332)+~E(x1331,x1332)
% 0.94/1.13 [134]~P50(x1341)+P50(x1342)+~E(x1341,x1342)
% 0.94/1.13 [135]~P30(x1351)+P30(x1352)+~E(x1351,x1352)
% 0.94/1.13 [136]~P18(x1361)+P18(x1362)+~E(x1361,x1362)
% 0.94/1.13 [137]~P21(x1371)+P21(x1372)+~E(x1371,x1372)
% 0.94/1.13 [138]~P38(x1381)+P38(x1382)+~E(x1381,x1382)
% 0.94/1.13 [139]~P40(x1391)+P40(x1392)+~E(x1391,x1392)
% 0.94/1.13 [140]~P41(x1401)+P41(x1402)+~E(x1401,x1402)
% 0.94/1.13 [141]~P51(x1411)+P51(x1412)+~E(x1411,x1412)
% 0.94/1.13 [142]~P58(x1421)+P58(x1422)+~E(x1421,x1422)
% 0.94/1.13 [143]~P42(x1431)+P42(x1432)+~E(x1431,x1432)
% 0.94/1.13 [144]~P43(x1441)+P43(x1442)+~E(x1441,x1442)
% 0.94/1.13 [145]~P19(x1451)+P19(x1452)+~E(x1451,x1452)
% 0.94/1.13 [146]~P37(x1461)+P37(x1462)+~E(x1461,x1462)
% 0.94/1.13 [147]P4(x1472,x1473,x1474)+~E(x1471,x1472)+~P4(x1471,x1473,x1474)
% 0.94/1.13 [148]P4(x1483,x1482,x1484)+~E(x1481,x1482)+~P4(x1483,x1481,x1484)
% 0.94/1.13 [149]P4(x1493,x1494,x1492)+~E(x1491,x1492)+~P4(x1493,x1494,x1491)
% 0.94/1.13 [150]P6(x1502,x1503,x1504)+~E(x1501,x1502)+~P6(x1501,x1503,x1504)
% 0.94/1.13 [151]P6(x1513,x1512,x1514)+~E(x1511,x1512)+~P6(x1513,x1511,x1514)
% 0.94/1.13 [152]P6(x1523,x1524,x1522)+~E(x1521,x1522)+~P6(x1523,x1524,x1521)
% 0.94/1.13 [153]P8(x1532,x1533,x1534)+~E(x1531,x1532)+~P8(x1531,x1533,x1534)
% 0.94/1.13 [154]P8(x1543,x1542,x1544)+~E(x1541,x1542)+~P8(x1543,x1541,x1544)
% 0.94/1.13 [155]P8(x1553,x1554,x1552)+~E(x1551,x1552)+~P8(x1553,x1554,x1551)
% 0.94/1.13 [156]~P52(x1561)+P52(x1562)+~E(x1561,x1562)
% 0.94/1.13 [157]P9(x1572,x1573,x1574)+~E(x1571,x1572)+~P9(x1571,x1573,x1574)
% 0.94/1.13 [158]P9(x1583,x1582,x1584)+~E(x1581,x1582)+~P9(x1583,x1581,x1584)
% 0.94/1.13 [159]P9(x1593,x1594,x1592)+~E(x1591,x1592)+~P9(x1593,x1594,x1591)
% 0.94/1.13 [160]P7(x1602,x1603)+~E(x1601,x1602)+~P7(x1601,x1603)
% 0.94/1.13 [161]P7(x1613,x1612)+~E(x1611,x1612)+~P7(x1613,x1611)
% 0.94/1.13 [162]~P45(x1621)+P45(x1622)+~E(x1621,x1622)
% 0.94/1.13 [163]~P59(x1631)+P59(x1632)+~E(x1631,x1632)
% 0.94/1.13 [164]P5(x1642,x1643,x1644,x1645,x1646,x1647)+~E(x1641,x1642)+~P5(x1641,x1643,x1644,x1645,x1646,x1647)
% 0.94/1.13 [165]P5(x1653,x1652,x1654,x1655,x1656,x1657)+~E(x1651,x1652)+~P5(x1653,x1651,x1654,x1655,x1656,x1657)
% 0.94/1.13 [166]P5(x1663,x1664,x1662,x1665,x1666,x1667)+~E(x1661,x1662)+~P5(x1663,x1664,x1661,x1665,x1666,x1667)
% 0.94/1.13 [167]P5(x1673,x1674,x1675,x1672,x1676,x1677)+~E(x1671,x1672)+~P5(x1673,x1674,x1675,x1671,x1676,x1677)
% 0.94/1.13 [168]P5(x1683,x1684,x1685,x1686,x1682,x1687)+~E(x1681,x1682)+~P5(x1683,x1684,x1685,x1686,x1681,x1687)
% 0.94/1.13 [169]P5(x1693,x1694,x1695,x1696,x1697,x1692)+~E(x1691,x1692)+~P5(x1693,x1694,x1695,x1696,x1697,x1691)
% 0.94/1.13 [170]~P28(x1701)+P28(x1702)+~E(x1701,x1702)
% 0.94/1.13 [171]~P16(x1711)+P16(x1712)+~E(x1711,x1712)
% 0.94/1.13 [172]~P17(x1721)+P17(x1722)+~E(x1721,x1722)
% 0.94/1.13 [173]~P26(x1731)+P26(x1732)+~E(x1731,x1732)
% 0.94/1.13 [174]~P10(x1741)+P10(x1742)+~E(x1741,x1742)
% 0.94/1.13 [175]~P39(x1751)+P39(x1752)+~E(x1751,x1752)
% 0.94/1.13 [176]~P44(x1761)+P44(x1762)+~E(x1761,x1762)
% 0.94/1.13 [177]~P20(x1771)+P20(x1772)+~E(x1771,x1772)
% 0.94/1.13 [178]~P56(x1781)+P56(x1782)+~E(x1781,x1782)
% 0.94/1.13 [179]~P53(x1791)+P53(x1792)+~E(x1791,x1792)
% 0.94/1.13 [180]~P25(x1801)+P25(x1802)+~E(x1801,x1802)
% 0.94/1.13 [181]~P55(x1811)+P55(x1812)+~E(x1811,x1812)
% 0.94/1.13 [182]~P54(x1821)+P54(x1822)+~E(x1821,x1822)
% 0.94/1.13
% 0.94/1.13 %-------------------------------------------
% 0.94/1.14 cnf(1209,plain,
% 0.94/1.14 (~E(f46(f46(a16,x12091),x12092),f15(x12093))),
% 0.94/1.14 inference(rename_variables,[],[365])).
% 0.94/1.14 cnf(1212,plain,
% 0.94/1.14 (P8(x12121,f46(f46(f12(a1),x12121),x12121),a1)),
% 0.94/1.14 inference(rename_variables,[],[280])).
% 0.94/1.14 cnf(1215,plain,
% 0.94/1.14 (P8(x12151,f46(f46(f12(a1),x12151),x12151),a1)),
% 0.94/1.14 inference(rename_variables,[],[280])).
% 0.94/1.14 cnf(1221,plain,
% 0.94/1.14 (~P4(x12211,x12211,a1)),
% 0.94/1.14 inference(rename_variables,[],[368])).
% 0.94/1.14 cnf(1224,plain,
% 0.94/1.14 (~P8(f35(x12241),x12241,a1)),
% 0.94/1.14 inference(rename_variables,[],[371])).
% 0.94/1.14 cnf(1227,plain,
% 0.94/1.14 (~P8(f35(x12271),x12271,a1)),
% 0.94/1.14 inference(rename_variables,[],[371])).
% 0.94/1.14 cnf(1230,plain,
% 0.94/1.14 (~P4(f46(f46(f3(a1),x12301),x12302),x12302,a1)),
% 0.94/1.14 inference(rename_variables,[],[373])).
% 0.94/1.14 cnf(1233,plain,
% 0.94/1.14 (~P4(f46(f46(f3(a1),x12331),x12332),x12332,a1)),
% 0.94/1.14 inference(rename_variables,[],[373])).
% 0.94/1.14 cnf(1236,plain,
% 0.94/1.14 (P8(x12361,f46(f46(f12(a1),x12361),x12361),a1)),
% 0.94/1.14 inference(rename_variables,[],[280])).
% 0.94/1.14 cnf(1239,plain,
% 0.94/1.14 (P8(x12391,f46(f46(f12(a1),x12391),x12391),a1)),
% 0.94/1.14 inference(rename_variables,[],[280])).
% 0.94/1.14 cnf(1245,plain,
% 0.94/1.14 (P4(x12451,f35(x12451),a1)),
% 0.94/1.14 inference(rename_variables,[],[250])).
% 0.94/1.14 cnf(1250,plain,
% 0.94/1.14 (~P8(f35(x12501),x12501,a1)),
% 0.94/1.14 inference(rename_variables,[],[371])).
% 0.94/1.14 cnf(1253,plain,
% 0.94/1.14 (~P4(f46(f46(f3(a1),x12531),x12532),x12532,a1)),
% 0.94/1.14 inference(rename_variables,[],[373])).
% 0.94/1.14 cnf(1256,plain,
% 0.94/1.14 (~P4(f46(f46(f3(a1),x12561),x12562),x12562,a1)),
% 0.94/1.14 inference(rename_variables,[],[373])).
% 0.94/1.14 cnf(1262,plain,
% 0.94/1.14 (P4(x12621,f35(x12621),a1)),
% 0.94/1.14 inference(rename_variables,[],[250])).
% 0.94/1.14 cnf(1265,plain,
% 0.94/1.14 (P4(x12651,f35(x12651),a1)),
% 0.94/1.14 inference(rename_variables,[],[250])).
% 0.94/1.14 cnf(1268,plain,
% 0.94/1.14 (~E(f46(f46(a16,x12681),x12682),f15(x12683))),
% 0.94/1.14 inference(rename_variables,[],[365])).
% 0.94/1.14 cnf(1271,plain,
% 0.94/1.14 (~E(f46(f46(a16,x12711),x12712),f15(x12713))),
% 0.94/1.14 inference(rename_variables,[],[365])).
% 0.94/1.14 cnf(1274,plain,
% 0.94/1.14 (~E(f46(f46(a16,x12741),x12742),f15(x12743))),
% 0.94/1.14 inference(rename_variables,[],[365])).
% 0.94/1.14 cnf(1294,plain,
% 0.94/1.14 (~P8(f35(x12941),x12941,a1)),
% 0.94/1.14 inference(rename_variables,[],[371])).
% 0.94/1.14 cnf(1313,plain,
% 0.94/1.14 ($false),
% 0.94/1.14 inference(scs_inference,[],[375,236,234,368,1221,239,220,355,250,1245,1262,1265,371,1224,1227,1250,1294,287,288,266,252,332,365,1209,1268,1271,1274,280,1212,1215,1236,1239,373,1230,1233,1253,1256,298,300,281,297,268,2,523,478,449,456,1166,727,726,725,681,661,659,657,655,605,542,541,539,538,534,532,531,492,687,686,1165,1164,1162,906,763,579,560,530,484,881,880,867,866,1076,1002,161,157,154,153,152]),
% 0.94/1.14 ['proof']).
% 0.94/1.14 % SZS output end Proof
% 0.94/1.14 % Total time :0.130000s
%------------------------------------------------------------------------------