TSTP Solution File: LCL778-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL778-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:50:53 EDT 2023
% Result : Unsatisfiable 0.71s 0.84s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL778-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 04:58:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.71/0.80 %-------------------------------------------
% 0.71/0.80 % File :CSE---1.6
% 0.71/0.80 % Problem :theBenchmark
% 0.71/0.80 % Transform :cnf
% 0.71/0.80 % Format :tptp:raw
% 0.71/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.71/0.80
% 0.71/0.80 % Result :Theorem 0.030000s
% 0.71/0.80 % Output :CNFRefutation 0.030000s
% 0.71/0.80 %-------------------------------------------
% 0.71/0.81 %------------------------------------------------------------------------------
% 0.71/0.81 % File : LCL778-1 : TPTP v8.1.2. Released v4.1.0.
% 0.71/0.81 % Domain : Logic Calculi
% 0.71/0.81 % Problem : Strong normalization of typed lambda calculus 085_4
% 0.71/0.81 % Version : Especial.
% 0.71/0.81 % English :
% 0.71/0.81
% 0.71/0.81 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.71/0.81 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.71/0.81 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.71/0.81 % Source : [Nip10]
% 0.71/0.81 % Names : StrongNorm-085_4 [Nip10]
% 0.71/0.81
% 0.71/0.81 % Status : Unsatisfiable
% 0.71/0.81 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.14 v4.1.0
% 0.71/0.81 % Syntax : Number of clauses : 549 ( 140 unt; 58 nHn; 286 RR)
% 0.71/0.81 % Number of literals : 1246 ( 374 equ; 657 neg)
% 0.71/0.81 % Maximal clause size : 6 ( 2 avg)
% 0.71/0.81 % Maximal term depth : 8 ( 2 avg)
% 0.71/0.81 % Number of predicates : 42 ( 41 usr; 0 prp; 1-6 aty)
% 0.71/0.81 % Number of functors : 64 ( 64 usr; 15 con; 0-5 aty)
% 0.71/0.81 % Number of variables : 1829 ( 385 sgn)
% 0.71/0.81 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.71/0.81
% 0.71/0.81 % Comments :
% 0.71/0.81 %------------------------------------------------------------------------------
% 0.71/0.81 cnf(cls_zero__le__imp__of__nat_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_of__nat__0__le__iff_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_power__mono_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.71/0.81 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_zero__le__power_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_power__inject__exp_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.71/0.81 | V_m = V_n ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_power__0_0,axiom,
% 0.71/0.81 ( ~ class_Power_Opower(T_a)
% 0.71/0.81 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.81 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_subst__lemma_0,axiom,
% 0.71/0.81 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.71/0.81 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.71/0.81 | c_Type_Otyping(V_e_H,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),V_T) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_lift__type_0,axiom,
% 0.71/0.81 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,V_t),V_i),V_T)
% 0.71/0.81 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_power__strict__decreasing_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 0.71/0.81 | V_a = V_b
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_one__less__power_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_lift__subst_0,axiom,
% 0.71/0.81 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)),V_j)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_lift__subst__lt_0,axiom,
% 0.71/0.81 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)))
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 0.71/0.81 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))
% 0.71/0.81 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_less__add__one_0,axiom,
% 0.71/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.81 | 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) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_add__le__less__mono_0,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.71/0.81 | 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)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.71/0.81 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_add__less__le__mono_0,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.71/0.81 | 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)
% 0.71/0.81 | ~ c_lessequals(V_c,V_d,T_a)
% 0.71/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.81 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.81 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.81 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.81 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.81 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.71/0.81 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.71/0.81 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_add__increasing2_0,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.81 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.81 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.71/0.81 | ~ c_lessequals(V_b,V_a,T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_add__increasing_0,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.81 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.81 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.71/0.81 | ~ c_lessequals(V_b,V_c,T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.71/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.71/0.81
% 0.71/0.81 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.71/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.82 | 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) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_zero__less__one_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_not__one__less__zero_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__linear_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_y,V_x,T_a)
% 0.71/0.82 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | V_x = V_y
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | V_x = V_y
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__neq__le__trans_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.82 | ~ c_lessequals(V_a,V_b,T_a)
% 0.71/0.82 | V_a = V_b ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__le__neq__trans_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.82 | V_a = V_b
% 0.71/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__less__le_2,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.82 | V_x = V_y
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__le__less_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | V_x = V_y
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_xt1_I12_J_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.71/0.82 | ~ c_lessequals(V_b,V_a,T_a)
% 0.71/0.82 | V_a = V_b ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_xt1_I11_J_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.71/0.82 | V_a = V_b
% 0.71/0.82 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_le__add__right__mono_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.71/0.82 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.71/0.82 | ~ c_lessequals(V_c,V_d,T_a)
% 0.71/0.82 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__less__le__trans_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_z,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__le__less__trans_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__eq__refl_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__eq__iff_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__trans_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,V_z,T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_z,T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_xt1_I8_J_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_xt1_I7_J_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_z,V_y,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_xt1_I6_J_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_lessequals(V_z,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_z,V_y,T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_shift__gt_0,axiom,
% 0.71/0.82 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__left__mono_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__right__mono_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__le__cancel__left_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.82 | c_lessequals(V_a,V_b,T_a)
% 0.71/0.82 | ~ 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) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__le__cancel__left_1,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__le__cancel__right_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.82 | c_lessequals(V_a,V_b,T_a)
% 0.71/0.82 | ~ 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) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__le__cancel__right_1,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__less__imp__le_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,V_y,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__le__less_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,V_y,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__antisym__conv_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | V_x = V_y
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__antisym_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | V_x = V_y
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_order__eq__iff_2,axiom,
% 0.71/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.82 | V_x = V_y
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_gb__semiring_Osemiring__rules_I33_J_0,axiom,
% 0.71/0.82 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Oone__class_Oone(tc_nat)) = V_x
% 0.71/0.82 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_not__one__le__zero_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_less__le__not__le_2,axiom,
% 0.71/0.82 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.82 | c_lessequals(V_y,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_zero__le__one_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_shift__eq_0,axiom,
% 0.71/0.82 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__supE_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_a,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__supE_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_b,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__supI1_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__supI2_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_le__max__iff__disj_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.71/0.82 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_le__max__iff__disj_2,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.71/0.82 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,V_z,T_a)
% 0.71/0.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_y,V_z,T_a)
% 0.71/0.82 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__one__right_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.71/0.82 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.82 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_le__max__iff__disj_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_z,V_y,T_a)
% 0.71/0.82 | c_lessequals(V_z,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_le__maxI2_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_le__maxI1_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__supI_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_b,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Osup__least_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_z,V_x,T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_z,T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_one__le__power_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__mono_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_lessequals(V_c,V_d,T_a)
% 0.71/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 0.71/0.82 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__one_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.71/0.82 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_not__leE_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.82 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_x,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.71/0.82 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__not__less_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__not__less_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_lessequals(V_y,V_x,T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__not__le_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | ~ c_lessequals(V_x,V_y,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_linorder__not__le_0,axiom,
% 0.71/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.71/0.82 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_less__le__not__le_1,axiom,
% 0.71/0.82 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.82 | ~ c_lessequals(V_y,V_x,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_of__nat__1_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.71/0.82 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_one__neq__zero_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.71/0.82 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_zero__neq__one_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.71/0.82 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__neg__nonpos_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__nonpos__neg_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.82 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__strict__increasing_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.82 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.71/0.82 | ~ c_lessequals(V_b,V_c,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__strict__increasing2_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.82 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__nonneg__pos_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_add__pos__nonneg_0,axiom,
% 0.71/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.82 | 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)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_zero__less__two_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | 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) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__less__imp__less__base_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__0__left_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.71/0.82 | ~ class_Power_Opower(T_a)
% 0.71/0.82 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__less__imp__less__exp_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__strict__increasing_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__strict__increasing__iff_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__strict__increasing__iff_1,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 0.71/0.82 hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(V_s)),V_k) = c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,V_s),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_liftn_Osimps_I3_J_0,axiom,
% 0.71/0.82 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Oliftn(V_n,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_substn_Osimps_I3_J_0,axiom,
% 0.71/0.82 c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_power__strict__mono_0,axiom,
% 0.71/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.82 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.71/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.71/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_subst__Abs_0,axiom,
% 0.71/0.82 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(V_t)),V_s),V_k) = c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),hAPP(hAPP(c_Lambda_Olift,V_s),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_lift__types_0,axiom,
% 0.71/0.82 ( c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.71/0.82 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_substs__lemma_0,axiom,
% 0.71/0.82 ( c_Type_Otypings(V_e,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.71/0.82 | ~ c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts)
% 0.71/0.82 | ~ c_Type_Otyping(V_e,V_u,V_T) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_Apps__dB__induct_5,axiom,
% 0.71/0.82 ( hBOOL(hAPP(V_P,V_t))
% 0.71/0.82 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.82 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_lem_5,axiom,
% 0.71/0.82 ( ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__4(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.82 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.82 | hBOOL(hAPP(V_P,V_t)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.71/0.82 ( 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)
% 0.71/0.82 | V_m = V_n ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.71/0.82 ( 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)
% 0.71/0.82 | V_y = V_z ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_IT_Ocases_6,axiom,
% 0.71/0.82 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.82 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.71/0.82 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.71/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_map_Osimps_I2_J_0,axiom,
% 0.71/0.82 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_Cons__eq__map__conv_3,axiom,
% 0.71/0.82 c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_map__eq__Cons__conv_3,axiom,
% 0.71/0.82 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.71/0.82 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))
% 0.71/0.82 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.71/0.82 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))
% 0.71/0.82 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.71/0.82
% 0.71/0.82 cnf(cls_append__Cons_0,axiom,
% 0.71/0.83 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.71/0.83 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__neg__neg_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_listsum_Osimps_I1_J_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.83 | c_List_Olistsum(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_max__less__iff__conj_1,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_max__less__iff__conj_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_less__max__iff__disj_2,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_less__max__iff__disj_1,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_min__max_Oless__supI2_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_min__max_Oless__supI1_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.71/0.83 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.71/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_rtranclp__converseI_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_rtranclp__converseD_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_map__is__Nil__conv_1,axiom,
% 0.71/0.83 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.71/0.83 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_COMBC__def_0,axiom,
% 0.71/0.83 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__cancel__21_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_conversepD_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_conversep__iff_1,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_conversep_Ocases_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_conversep_Ointros_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__gr__0_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.71/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.71/0.83 | ~ 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | 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)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | 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)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.71/0.83 | 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)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.83 | 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)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.83 | 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)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_nat__add__assoc_0,axiom,
% 0.71/0.83 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)) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_nat__add__left__commute_0,axiom,
% 0.71/0.83 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)) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__cancel__21_1,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.71/0.83 | 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)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_xt1_I10_J_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_order__less__trans_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__step1I_0,axiom,
% 0.71/0.83 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.71/0.83 | c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,V_x,T_a),c_List_Oappend(V_xs,V_x,T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__step1I_1,axiom,
% 0.71/0.83 ( c_ListOrder_Ostep1(V_r,c_List_Oappend(V_x,V_vs,T_a),c_List_Oappend(V_x,V_us,T_a),T_a)
% 0.71/0.83 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.71/0.83 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.71/0.83 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.71/0.83 ( c_List_Olistsp(V_A,V_ys,T_a)
% 0.71/0.83 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.71/0.83 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.71/0.83 ( V_x = V_y
% 0.71/0.83 | V_xs = V_ys
% 0.71/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.71/0.83 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.71/0.83 | c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_x,T_a),c_List_Olist_OCons(V_xa,V_x,T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_listsp_ONil_0,axiom,
% 0.71/0.83 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.71/0.83 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.71/0.83 | V_m = V_n ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__same__eq_0,axiom,
% 0.71/0.83 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.71/0.83 | V_ys = V_zs ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_same__append__eq_0,axiom,
% 0.71/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.71/0.83 | V_ys = V_zs ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_max__less__iff__conj_2,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.71/0.83 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.71/0.83 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_accp__downwards_0,axiom,
% 0.71/0.83 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 0.71/0.83 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_accp__downwards__aux_0,axiom,
% 0.71/0.83 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.71/0.83 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_rtranclp__trans_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT__implies__termi_0,axiom,
% 0.71/0.83 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_termi__implies__IT_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 0.71/0.83 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT_Ocases_8,axiom,
% 0.71/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.71/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.71/0.83 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__Nil2_0,axiom,
% 0.71/0.83 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.71/0.83 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_self__append__conv_1,axiom,
% 0.71/0.83 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__Nil_0,axiom,
% 0.71/0.83 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_self__append__conv2_1,axiom,
% 0.71/0.83 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_r),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_i)))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_map__replicate_0,axiom,
% 0.71/0.83 c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a) = c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__lessD1_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_trans__less__add1_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_trans__less__add2_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_nat__add__commute_0,axiom,
% 0.71/0.83 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) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_less__add__eq__less_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_foldr__append_0,axiom,
% 0.71/0.83 c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.71/0.83 | V_y = V_x
% 0.71/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.71/0.83 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.71/0.83 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.71/0.83 | V_m = V_n ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Nil__is__map__conv_0,axiom,
% 0.71/0.83 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 0.71/0.83 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Omul__pwr_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_r),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_i)))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.71/0.83 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_r__into__rtranclp_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_not__Nil__step1_0,axiom,
% 0.71/0.83 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_not__step1__Nil_0,axiom,
% 0.71/0.83 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.83 | ~ 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | V_m = V_n ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.71/0.83 | ~ class_Int_Onumber__ring(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | V_y = V_z ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__imp__eq_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | V_b = V_c ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__left__cancel_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | V_b = V_c ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__right__cancel_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | V_b = V_c ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.71/0.83 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.71/0.83 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_neq__Nil__conv_1,axiom,
% 0.71/0.83 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.71/0.83 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Opwr__mul_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Omul__d_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Omul__c_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Omul__a_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Omul__1_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Omul__0_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Oadd__c_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Oadd__a_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Oadd__0_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.71/0.83 ( 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)))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.71/0.83 ( V_x = V_y
% 0.71/0.83 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.71/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | 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)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H)))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_min__max_Osup__commute_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.71/0.83 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_subject__reduction_H_0,axiom,
% 0.71/0.83 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.71/0.83 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_replicate__empty_1,axiom,
% 0.71/0.83 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_lift__preserves__beta_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_not__Cons__self2_0,axiom,
% 0.71/0.83 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_not__Cons__self_0,axiom,
% 0.71/0.83 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT_Ocases_3,axiom,
% 0.71/0.83 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.71/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.71/0.83 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.71/0.83 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_max__add__distrib__left_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Nil__is__map__conv_1,axiom,
% 0.71/0.83 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.71/0.83 ( V_ys = V_xs
% 0.71/0.83 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.71/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_min__max_Osup__assoc_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.71/0.83 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_rtranclp__idemp_0,axiom,
% 0.71/0.83 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_abs_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_replicate__append__same_0,axiom,
% 0.71/0.83 c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_monoid__add_Oadd__0__right_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_plus,V_a),V_zero) = V_a
% 0.71/0.83 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_monoid__add_Oadd__0__left_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_plus,V_zero),V_a) = V_a
% 0.71/0.83 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__gr__0_2,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__gr__0_1,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.71/0.83 | ~ 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT_Ocases_2,axiom,
% 0.71/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.71/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.71/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT_Ocases_10,axiom,
% 0.71/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.71/0.83 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT_Ocases_1,axiom,
% 0.71/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.71/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_power__eq__0__iff_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.71/0.83 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.71/0.83 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.71/0.83 | ~ class_Power_Opower(T_a)
% 0.71/0.83 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_field__power__not__zero_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.71/0.83 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_double__eq__0__iff_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.71/0.83 | ~ class_Int_Onumber__ring(T_a)
% 0.71/0.83 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.71/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_double__eq__0__iff_1,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.71/0.83 | 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.71/0.83 | ~ class_Int_Onumber__ring(T_a)
% 0.71/0.83 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__0__left_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.71/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_neq0__conv_1,axiom,
% 0.71/0.83 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_liftn__0_0,axiom,
% 0.71/0.83 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gr0I_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.71/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__is__0_1,axiom,
% 0.71/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.71/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__is__0_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.71/0.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.71/0.83 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.71/0.83 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__eq__self__zero_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.71/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__is__0_2,axiom,
% 0.71/0.83 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) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_gr__implies__not0_0,axiom,
% 0.71/0.83 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_not__less0_0,axiom,
% 0.71/0.83 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_even__less__0__iff_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.71/0.83 | ~ 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_even__less__0__iff_1,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_zero__less__power_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_less__max__iff__disj_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.71/0.83 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.71/0.83 | V_i = V_k
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.71/0.83 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.71/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.71/0.83 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.71/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.71/0.83 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.71/0.83 | V_dB = V_dB_H ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.71/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.71/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.71/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.71/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_conversep__eq_0,axiom,
% 0.71/0.83 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT_Ocases_11,axiom,
% 0.71/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.71/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.71/0.83 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_empty__replicate_1,axiom,
% 0.71/0.83 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_nat__less__le_1,axiom,
% 0.71/0.83 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_less__not__refl_0,axiom,
% 0.71/0.83 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_order__less__le_1,axiom,
% 0.71/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_linorder__neq__iff_1,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_order__less__irrefl_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 0.71/0.83 ( 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))
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.71/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__pos__pos_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.71/0.83 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.71/0.83 | V_xs = V_ys
% 0.71/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_semigroup__add_Oadd__assoc_0,axiom,
% 0.71/0.83 ( hAPP(hAPP(V_plus,hAPP(hAPP(V_plus,V_a),V_b)),V_c) = hAPP(hAPP(V_plus,V_a),hAPP(hAPP(V_plus,V_b),V_c))
% 0.71/0.83 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_listsum_Osimps_I2_J_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.83 | c_List_Olistsum(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Olistsum(V_xs,T_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_map__append_0,axiom,
% 0.71/0.83 c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a) = c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT_Ocases_7,axiom,
% 0.71/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.71/0.83 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.83 | V_x = V_y ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | V_x = V_y
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_nat__neq__iff_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.83 | V_m = V_n ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_nat__less__cases_0,axiom,
% 0.71/0.83 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.71/0.83 | V_m = V_n
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.71/0.83 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.71/0.83 | V_x = V_y ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_linorder__neqE_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.83 | V_x = V_y ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_append__replicate__commute_0,axiom,
% 0.71/0.83 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_linorder__less__linear_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.71/0.83 | V_x = V_y
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | V_x = V_y
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_min__max_Osup__idem_0,axiom,
% 0.71/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.83 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__strict__mono_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_add__less__mono_0,axiom,
% 0.71/0.83 ( 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.71/0.83 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_of__nat__less__iff_1,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_of__nat__less__iff_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.83 | ~ 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_listsum__foldr_0,axiom,
% 0.71/0.83 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.83 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_IT_Ocases_0,axiom,
% 0.71/0.83 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.71/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_replicate__add_0,axiom,
% 0.71/0.83 c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.83 | 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)
% 0.71/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.71/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.71/0.83 | ~ 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) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.71/0.83 ( V_ys = V_xs
% 0.71/0.83 | V_y = V_x
% 0.71/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.71/0.83
% 0.71/0.83 cnf(cls_lift__map_0,axiom,
% 0.71/0.84 hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_t),V_i),c_List_Omap(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_replicate__empty_0,axiom,
% 0.71/0.84 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.71/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.71/0.84 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.71/0.84 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 0.71/0.84 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 0.71/0.84 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)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_semigroup__add__class_Oaxioms_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.71/0.84 | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(T_a),T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_empty__replicate_0,axiom,
% 0.71/0.84 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 0.71/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_pos__add__strict_0,axiom,
% 0.71/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.71/0.84 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 0.71/0.84 c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osplit_2,axiom,
% 0.71/0.84 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.71/0.84 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.71/0.84 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.71/0.84 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_conversep__conversep_0,axiom,
% 0.71/0.84 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_not__add__less1_0,axiom,
% 0.71/0.84 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_not__add__less2_0,axiom,
% 0.71/0.84 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__self__conv_0,axiom,
% 0.71/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.71/0.84 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_self__append__conv_0,axiom,
% 0.71/0.84 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.71/0.84 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__self__conv2_0,axiom,
% 0.71/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.71/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_self__append__conv2_0,axiom,
% 0.71/0.84 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.71/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.71/0.84 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_add__strict__right__mono_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.71/0.84 | 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)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_add__less__cancel__right_1,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.84 | 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)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_add__less__cancel__right_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.84 | ~ 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) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_add__strict__left__mono_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.71/0.84 | 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)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_add__less__cancel__left_1,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.84 | 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)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_add__less__cancel__left_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.71/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.84 | ~ 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) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_add__less__mono1_0,axiom,
% 0.71/0.84 ( 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)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.71/0.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.71/0.84 | ~ 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) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.71/0.84 ( 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)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_IT_Ocases_9,axiom,
% 0.71/0.84 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.71/0.84 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.71/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_list_Oinject_0,axiom,
% 0.71/0.84 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.71/0.84 | V_a = V_a_H ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_list_Oinject_1,axiom,
% 0.71/0.84 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.71/0.84 | V_list = V_list_H ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subject__reduction_0,axiom,
% 0.71/0.84 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.71/0.84 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.71/0.84 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.71/0.84 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.71/0.84 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.71/0.84 ( c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_x,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.71/0.84 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_replicate__app__Cons__same_0,axiom,
% 0.71/0.84 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_of__nat__add_0,axiom,
% 0.71/0.84 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.71/0.84 | 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)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_map__is__Nil__conv_0,axiom,
% 0.71/0.84 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 0.71/0.84 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_listsum__append_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.84 | c_List_Olistsum(c_List_Oappend(V_xs,V_ys,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_List_Olistsum(V_xs,T_a)),c_List_Olistsum(V_ys,T_a)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append1__eq__conv_0,axiom,
% 0.71/0.84 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.71/0.84 | V_xs = V_ys ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append1__eq__conv_1,axiom,
% 0.71/0.84 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.71/0.84 | V_x = V_y ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.71/0.84 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_lifts__IT_0,axiom,
% 0.71/0.84 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.71/0.84 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__assoc_0,axiom,
% 0.71/0.84 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__eq__appendI_0,axiom,
% 0.71/0.84 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.71/0.84 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.71/0.84 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_xt1_I9_J_0,axiom,
% 0.71/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.71/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_accp_Ocases_0,axiom,
% 0.71/0.84 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 0.71/0.84 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_order__less__asym_0,axiom,
% 0.71/0.84 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_accp__downward_0,axiom,
% 0.71/0.84 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 0.71/0.84 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_order__less__asym_H_0,axiom,
% 0.71/0.84 ( ~ class_Orderings_Opreorder(T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_size__char_0,axiom,
% 0.71/0.84 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.71/0.84 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) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_max__0R_0,axiom,
% 0.71/0.84 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_max__0L_0,axiom,
% 0.71/0.84 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.71/0.84 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.71/0.84 | V_x = V_y
% 0.71/0.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.71/0.84 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.71/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.71/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_gb__semiring_Opwr__0_0,axiom,
% 0.71/0.84 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1
% 0.71/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_foldl__foldr1_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.84 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_listsum_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.84 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.84 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.71/0.84 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.71/0.84 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.71/0.84 ( ~ 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)))
% 0.71/0.84 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osplit_1,axiom,
% 0.71/0.84 ( ~ 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)))
% 0.71/0.84 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.71/0.84 hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_s),V_k)),hAPP(hAPP(c_Lambda_Olift,V_t),V_k)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.71/0.84 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) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 0.71/0.84 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)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_appR_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_appL_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.71/0.84 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)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 0.71/0.84 c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_substn__subst__n_0,axiom,
% 0.71/0.84 c_Lambda_Osubstn(V_t,V_s,V_n) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat))),V_n) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_double__induction__lemma_0,axiom,
% 0.71/0.84 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.71/0.84 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 0.71/0.84 | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),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)))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_apps__preserves__betas_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.84 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.71/0.84 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.71/0.84 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_App__eq__foldl__conv_2,axiom,
% 0.71/0.84 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | V_r = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_ex__head__tail_0,axiom,
% 0.71/0.84 V_t = c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2(V_t),c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1(V_t),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.71/0.84 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.71/0.84 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.71/0.84 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_semigroup__add_Ofoldl__assoc_0,axiom,
% 0.71/0.84 ( c_List_Ofoldl(V_plus,hAPP(hAPP(V_plus,V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(V_plus,V_x),c_List_Ofoldl(V_plus,V_y,V_zs,T_a,T_a))
% 0.71/0.84 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_foldl__Nil_0,axiom,
% 0.71/0.84 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_foldl__assoc_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.71/0.84 | 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)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_monoid__add_Ofoldl__absorb0_0,axiom,
% 0.71/0.84 ( hAPP(hAPP(V_plus,V_x),c_List_Ofoldl(V_plus,V_zero,V_zs,T_a,T_a)) = c_List_Ofoldl(V_plus,V_x,V_zs,T_a,T_a)
% 0.71/0.84 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_foldl__Cons_0,axiom,
% 0.71/0.84 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_foldl__append_0,axiom,
% 0.71/0.84 c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__map_0,axiom,
% 0.71/0.84 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_lem_3,axiom,
% 0.71/0.84 ( hBOOL(hAPP(V_P,c_ListApplication_Osko__ListApplication__Xlem__1__3(V_P)))
% 0.71/0.84 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.84 | hBOOL(hAPP(V_P,V_t)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_var__app__typesE_1,axiom,
% 0.71/0.84 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.71/0.84 | ~ 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) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Apps__dB__induct_3,axiom,
% 0.71/0.84 ( hBOOL(hAPP(V_P,V_t))
% 0.71/0.84 | hBOOL(hAPP(V_P,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(V_P)))
% 0.71/0.84 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_var__app__types_1,axiom,
% 0.71/0.84 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.71/0.84 | ~ 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)
% 0.71/0.84 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.71/0.84 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_head__Var__reduction_0,axiom,
% 0.71/0.84 ( c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB)
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_IT_Ocases_4,axiom,
% 0.71/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(V_a)),v_sko__InductTermi__XIT__Xcases__5(V_a)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.84 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.71/0.84 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__preserves__beta_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__lift_0,axiom,
% 0.71/0.84 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_IT_Ocases_5,axiom,
% 0.71/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.71/0.84 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.71/0.84 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.71/0.84 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.71/0.84 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.71/0.84 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osplit_0,axiom,
% 0.71/0.84 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.71/0.84 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.71/0.84 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 0.71/0.84 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.71/0.84 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.71/0.84 ( hAPP(V_e,V_i) = V_T
% 0.71/0.84 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.71/0.84 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_typing_OVar_0,axiom,
% 0.71/0.84 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_lift__IT_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))
% 0.71/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Lambda_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.71/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_beta_0,axiom,
% 0.71/0.84 hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat)))) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_head__Var__reduction_1,axiom,
% 0.71/0.84 ( V_v = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_power__eq__0__iff_2,axiom,
% 0.71/0.84 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.71/0.84 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.71/0.84 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.71/0.84 | ~ class_Power_Opower(T_a)
% 0.71/0.84 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_power__0__left_1,axiom,
% 0.71/0.84 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.71/0.84 | ~ class_Power_Opower(T_a)
% 0.71/0.84 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.71/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_power__eq__0__iff_1,axiom,
% 0.71/0.84 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.71/0.84 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.71/0.84 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.71/0.84 | ~ class_Power_Opower(T_a)
% 0.71/0.84 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_of__nat__0_0,axiom,
% 0.71/0.84 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.71/0.84 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_foldl__absorb0_0,axiom,
% 0.71/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.71/0.84 | 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) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_substn__subst__0_0,axiom,
% 0.71/0.84 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osize_I4_J_0,axiom,
% 0.71/0.84 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osize_I1_J_0,axiom,
% 0.71/0.84 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.71/0.84 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.71/0.84 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.71/0.84 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.71/0.84 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.71/0.84 ( 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)
% 0.71/0.84 | V_r = V_s ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.71/0.84 ( 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)
% 0.71/0.84 | V_rs = V_ss ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_apps__preserves__beta_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(hAPP(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)))
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.71/0.84 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__lt_0,axiom,
% 0.71/0.84 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j)
% 0.71/0.84 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__Var_2,axiom,
% 0.71/0.84 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.71/0.84 | V_i = V_k
% 0.71/0.84 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__Var_1,axiom,
% 0.71/0.84 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.71/0.84 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_var__app__type__eq_0,axiom,
% 0.71/0.84 ( V_T = V_U
% 0.71/0.84 | ~ 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)
% 0.71/0.84 | ~ 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) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.71/0.84 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) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.71/0.84 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.71/0.84 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.71/0.84 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) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_IT_OVar_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.71/0.84 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Beta_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(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)))
% 0.71/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.71/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__App_0,axiom,
% 0.71/0.84 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_s),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_k)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_s),V_k)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.71/0.84 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.71/0.84 | V_nat = V_nat_H ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.71/0.84 ( 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)
% 0.71/0.84 | V_m = V_n ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.71/0.84 ( 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)
% 0.71/0.84 | V_rs = V_ss ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__eq_0,axiom,
% 0.71/0.84 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_subst__Var__IT_0,axiom,
% 0.71/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j)))
% 0.71/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.71/0.84 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.71/0.84 | V_dB1 = V_dB1_H ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.71/0.84 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.71/0.84 | V_dB2 = V_dB2_H ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.71/0.84 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.71/0.84 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.71/0.84 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_Var__IT_0,axiom,
% 0.71/0.84 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.71/0.84 ( 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)
% 0.71/0.84 | V_r = V_s ) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.71/0.84 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_conjecture_0,negated_conjecture,
% 0.71/0.84 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_conjecture_1,negated_conjecture,
% 0.71/0.84 hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_conjecture_2,negated_conjecture,
% 0.71/0.84 hBOOL(hAPP(c_InductTermi_OIT,v_s)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_conjecture_3,negated_conjecture,
% 0.71/0.84 hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,v_s),c_Lambda_OdB_OVar(v_i)))) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_conjecture_4,negated_conjecture,
% 0.71/0.84 ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.71/0.84 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.71/0.84 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.71/0.84 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.71/0.84 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.71/0.84 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.71/0.84 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.71/0.84 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.71/0.84 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.71/0.84 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.71/0.84 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.71/0.84 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.71/0.84 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.71/0.84 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.71/0.84 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.71/0.84 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.71/0.84 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.71/0.84 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.71/0.84 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.71/0.84 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.71/0.84 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 0.71/0.84 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.71/0.84 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.71/0.84 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.71/0.84 class_Orderings_Opreorder(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.71/0.84 class_Orderings_Olinorder(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.71/0.84 class_Orderings_Oorder(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_nat__Power_Opower,axiom,
% 0.71/0.84 class_Power_Opower(tc_nat) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.71/0.84 class_Orderings_Opreorder(tc_bool) ).
% 0.71/0.84
% 0.71/0.84 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.71/0.84 class_Orderings_Oorder(tc_bool) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.71/0.84 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.71/0.84
% 0.71/0.84 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.71/0.84 ( V_X = V_Y
% 0.71/0.84 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.71/0.84
% 0.71/0.84 %------------------------------------------------------------------------------
% 0.71/0.84 %-------------------------------------------
% 0.71/0.84 % Proof found
% 0.71/0.84 % SZS status Theorem for theBenchmark
% 0.71/0.84 % SZS output start Proof
% 0.71/0.84 %ClaNum:720(EqnAxiom:172)
% 0.71/0.84 %VarNum:3488(SingletonVarNum:1464)
% 0.71/0.84 %MaxLitNum:6
% 0.71/0.84 %MaxfuncDepth:5
% 0.71/0.84 %SharedTerms:70
% 0.71/0.84 %goalClause: 201 228 283 286 311
% 0.71/0.84 %singleGoalClaCount:5
% 0.71/0.84 [173]P1(a1)
% 0.71/0.84 [174]P2(a1)
% 0.71/0.84 [175]P32(a1)
% 0.71/0.84 [176]P3(a1)
% 0.71/0.84 [177]P27(a1)
% 0.71/0.84 [178]P4(a1)
% 0.71/0.84 [179]P5(a1)
% 0.71/0.84 [180]P28(a1)
% 0.71/0.84 [181]P30(a1)
% 0.71/0.84 [182]P30(a2)
% 0.71/0.84 [183]P31(a1)
% 0.71/0.84 [184]P31(a2)
% 0.71/0.84 [185]P22(a1)
% 0.71/0.84 [186]P23(a1)
% 0.71/0.84 [187]P37(a1)
% 0.71/0.84 [188]P40(a1)
% 0.71/0.84 [189]P38(a1)
% 0.71/0.84 [190]P24(a1)
% 0.71/0.84 [191]P6(a1)
% 0.71/0.84 [192]P7(a1)
% 0.71/0.84 [193]P20(a1)
% 0.71/0.84 [194]P21(a1)
% 0.71/0.84 [195]P33(a1)
% 0.71/0.84 [196]P34(a1)
% 0.71/0.84 [197]P29(a1)
% 0.71/0.84 [201]P41(f42(a8,a54))
% 0.71/0.84 [228]P41(f42(a8,f42(f42(a9,a54),f3(a55))))
% 0.71/0.84 [286]P41(f42(a8,f42(f42(a9,f35(a9,f42(f42(f42(a21,a56),a54),f4(a1)),a57,a41,a41)),f3(a55))))
% 0.71/0.84 [311]~P41(f42(a8,f42(f42(a9,f35(a9,f42(f42(f42(a21,a56),a54),f4(a1)),a57,a41,a41)),f3(a55))))
% 0.71/0.84 [283]P41(f42(a8,f35(a9,f42(f42(f42(a21,a56),a54),f4(a1)),a57,a41,a41)))
% 0.71/0.84 [295]~P9(x2951,x2951,a1)
% 0.71/0.84 [199]E(f16(x1991,a15),f4(a1))
% 0.71/0.84 [299]~P9(x2991,f4(a1),a1)
% 0.71/0.84 [198]E(f12(f3(x1981)),f4(a1))
% 0.71/0.84 [200]E(f16(f3(x2001),a41),f4(a1))
% 0.71/0.84 [202]P41(f42(a8,f3(x2021)))
% 0.71/0.84 [204]E(f42(f42(f5(a1),x2041),f4(a1)),x2041)
% 0.71/0.84 [207]E(f44(x2071,f4(a1),a1),x2071)
% 0.71/0.84 [208]E(f44(f4(a1),x2081,a1),x2081)
% 0.71/0.84 [219]E(f45(f47(x2191),x2191,x2191),f47(x2191))
% 0.71/0.84 [265]E(f35(a9,f22(x2651),f23(x2651),a41,a41),x2651)
% 0.71/0.84 [205]E(f42(f42(f5(a1),f4(a1)),x2051),x2051)
% 0.71/0.84 [211]P8(x2111,f19(x2112),x2112)
% 0.71/0.84 [222]P12(x2221,f3(x2222),f42(x2221,x2222))
% 0.71/0.84 [289]~E(f10(x2891),f3(x2892))
% 0.71/0.84 [206]E(f43(f43(x2061,x2062),x2062),f43(x2061,x2062))
% 0.71/0.84 [210]E(f17(f4(a1),x2101,x2102),x2101)
% 0.71/0.84 [215]E(f20(x2151,f19(x2152),x2152),x2151)
% 0.71/0.84 [216]E(f20(f19(x2161),x2162,x2161),x2162)
% 0.71/0.84 [218]E(f37(f4(a1),x2181,x2182),f19(x2182))
% 0.71/0.84 [249]E(f42(f42(f42(a21,x2491),f17(f4(a1),x2492,f4(a1))),f4(a1)),f42(f42(f42(a21,x2491),x2492),f4(a1)))
% 0.71/0.84 [223]E(f42(f42(f5(a1),x2231),x2232),f42(f42(f5(a1),x2232),x2231))
% 0.71/0.84 [224]P41(f42(f42(f47(x2241),x2242),x2242))
% 0.71/0.84 [258]P41(f42(f42(a11,f42(f42(a9,f10(x2581)),x2582)),f42(f42(f42(a21,x2581),x2582),f4(a1))))
% 0.71/0.84 [304]~P41(f42(f42(a11,f3(x3041)),x3042))
% 0.71/0.84 [305]~P9(f42(f42(f5(a1),x3051),x3052),x3052,a1)
% 0.71/0.84 [306]~P9(f42(f42(f5(a1),x3061),x3062),x3061,a1)
% 0.71/0.84 [225]E(f42(f42(f42(a21,f3(x2251)),x2252),x2251),x2252)
% 0.71/0.84 [236]E(f10(f42(f42(a18,x2361),f42(f42(f5(a1),x2362),f6(a1)))),f42(f42(a18,f10(x2361)),x2362))
% 0.71/0.84 [297]~E(f34(x2971,x2972,x2973),x2972)
% 0.71/0.84 [302]~E(f34(x3021,x3022,x3023),f19(x3023))
% 0.71/0.84 [307]~P11(x3071,x3072,f19(x3073),x3073)
% 0.71/0.84 [308]~P11(x3081,f19(x3082),x3083,x3082)
% 0.71/0.84 [226]E(f37(f4(a1),x2261,x2262),f37(f4(a1),x2263,x2262))
% 0.71/0.84 [227]E(f45(f45(x2271,x2272,x2273),x2273,x2272),x2271)
% 0.71/0.84 [234]E(f38(x2341,f19(x2342),x2342,x2343),f19(x2343))
% 0.71/0.84 [290]~E(f3(x2901),f42(f42(a9,x2902),x2903))
% 0.71/0.84 [291]~E(f10(x2911),f42(f42(a9,x2912),x2913))
% 0.71/0.84 [292]~E(f42(f42(a9,x2921),x2922),f3(x2923))
% 0.71/0.84 [293]~E(f42(f42(a9,x2931),x2932),f10(x2933))
% 0.71/0.84 [230]P41(f42(f42(f43(x2301,x2302),x2303),x2303))
% 0.71/0.84 [252]E(f20(f37(x2521,x2522,x2523),f34(x2522,f19(x2523),x2523),x2523),f34(x2522,f37(x2521,x2522,x2523),x2523))
% 0.71/0.84 [285]E(f35(a9,f42(f42(a18,x2851),x2852),f38(f7(a18,x2852,a41,a1,a41),x2853,a41,a41),a41,a41),f42(f42(a18,f35(a9,x2851,x2853,a41,a41)),x2852))
% 0.71/0.84 [235]E(f42(f42(f5(a1),x2351),f42(f42(f5(a1),x2352),x2353)),f42(f42(f5(a1),x2352),f42(f42(f5(a1),x2351),x2353)))
% 0.71/0.84 [246]E(f10(f17(x2461,x2462,f42(f42(f5(a1),x2463),f6(a1)))),f17(x2461,f10(x2462),x2463))
% 0.71/0.84 [250]E(f42(f42(a9,f42(f42(a18,x2501),x2502)),f42(f42(a18,x2503),x2502)),f42(f42(a18,f42(f42(a9,x2501),x2503)),x2502))
% 0.71/0.84 [257]E(f10(f42(f42(f42(a21,x2571),f42(f42(a18,x2572),f4(a1))),f42(f42(f5(a1),x2573),f6(a1)))),f42(f42(f42(a21,f10(x2571)),x2572),x2573))
% 0.71/0.84 [275]E(f10(f42(f42(f42(a21,x2751),f17(f42(f42(f5(a1),x2752),f6(a1)),x2753,f4(a1))),f42(f42(f5(a1),x2752),f6(a1)))),f42(f42(f42(a21,f10(x2751)),f17(x2752,x2753,f4(a1))),x2752))
% 0.71/0.84 [245]E(f42(f42(f5(a1),f42(f42(f5(a1),x2451),x2452)),x2453),f42(f42(f5(a1),x2451),f42(f42(f5(a1),x2452),x2453)))
% 0.71/0.84 [247]E(f42(f42(f42(a21,f42(f42(a18,x2471),x2472)),x2473),x2472),x2471)
% 0.71/0.84 [242]E(f34(x2421,f20(x2422,x2423,x2424),x2424),f20(f34(x2421,x2422,x2424),x2423,x2424))
% 0.71/0.84 [244]E(f20(f20(x2441,x2442,x2443),x2444,x2443),f20(x2441,f20(x2442,x2444,x2443),x2443))
% 0.71/0.84 [254]E(f42(f48(x2541,x2542,x2543,x2544),x2542),x2543)
% 0.71/0.84 [255]E(f20(f37(x2551,x2552,x2553),f37(x2554,x2552,x2553),x2553),f20(f37(x2554,x2552,x2553),f37(x2551,x2552,x2553),x2553))
% 0.71/0.84 [263]E(f35(x2631,x2632,f19(x2633),x2634,x2633),x2632)
% 0.71/0.84 [264]E(f36(x2641,f19(x2642),x2643,x2642,x2644),x2643)
% 0.71/0.84 [310]~E(f35(a9,f10(x3101),x3102,a41,a41),f35(a9,f3(x3103),x3104,a41,a41))
% 0.71/0.84 [253]E(f42(f42(a9,f17(x2531,x2532,x2533)),f17(x2531,x2534,x2533)),f17(x2531,f42(f42(a9,x2532),x2534),x2533))
% 0.71/0.84 [256]E(f34(x2561,f20(f37(x2562,x2561,x2563),x2564,x2563),x2563),f20(f37(x2562,x2561,x2563),f34(x2561,x2564,x2563),x2563))
% 0.71/0.84 [309]~E(f42(f42(a9,f10(x3091)),x3092),f35(a9,f3(x3093),x3094,a41,a41))
% 0.71/0.84 [248]E(f20(f37(x2481,x2482,x2483),f37(x2484,x2482,x2483),x2483),f37(f42(f42(f5(a1),x2481),x2484),x2482,x2483))
% 0.71/0.84 [259]E(f42(f42(a9,f42(f42(f42(a21,x2591),x2592),x2593)),f42(f42(f42(a21,x2594),x2592),x2593)),f42(f42(f42(a21,f42(f42(a9,x2591),x2594)),x2592),x2593))
% 0.71/0.84 [287]E(f35(a9,f42(f42(f42(a21,x2871),x2872),x2873),f38(f7(f7(a21,x2872,a41,a41,f53(a1,a41)),x2873,a41,a1,a41),x2874,a41,a41),a41,a41),f42(f42(f42(a21,f35(a9,x2871,x2874,a41,a41)),x2872),x2873))
% 0.71/0.84 [251]E(f38(x2511,f37(x2512,x2513,x2514),x2514,x2515),f37(x2512,f42(x2511,x2513),x2515))
% 0.71/0.84 [261]E(f38(x2611,f34(x2612,x2613,x2614),x2614,x2615),f34(f42(x2611,x2612),f38(x2611,x2613,x2614,x2615),x2615))
% 0.71/0.84 [262]E(f34(f42(x2621,x2622),f38(x2621,x2623,x2624,x2625),x2625),f38(x2621,f34(x2622,x2623,x2624),x2624,x2625))
% 0.71/0.84 [269]E(f13(x2691,x2692,x2693,f3(x2694),x2695),f42(x2691,x2694))
% 0.71/0.84 [270]E(f13(x2701,x2702,x2703,f10(x2704),x2705),f42(x2703,x2704))
% 0.71/0.84 [271]E(f14(x2711,x2712,x2713,f3(x2714),x2715),f42(x2711,x2714))
% 0.71/0.84 [274]E(f20(f38(x2741,x2742,x2743,x2744),f38(x2741,x2745,x2743,x2744),x2744),f38(x2741,f20(x2742,x2745,x2743),x2743,x2744))
% 0.71/0.84 [279]E(f42(f42(x2791,x2792),f14(x2793,x2794,x2791,x2792,x2795)),f14(x2793,x2794,x2791,f10(x2792),x2795))
% 0.71/0.84 [276]E(f42(f7(x2761,x2762,x2763,x2764,x2765),x2766),f42(f42(x2761,x2766),x2762))
% 0.71/0.84 [280]E(f36(x2801,f34(x2802,x2803,x2804),x2805,x2804,x2806),f42(f42(x2801,x2802),f36(x2801,x2803,x2805,x2804,x2806)))
% 0.71/0.84 [281]E(f35(x2811,f35(x2811,x2812,x2813,x2814,x2815),x2816,x2814,x2815),f35(x2811,x2812,f20(x2813,x2816,x2815),x2814,x2815))
% 0.71/0.84 [282]E(f36(x2821,x2822,f36(x2821,x2823,x2824,x2825,x2826),x2825,x2826),f36(x2821,f20(x2822,x2823,x2825),x2824,x2825,x2826))
% 0.71/0.84 [273]E(f13(x2731,x2732,x2733,f42(f42(a9,x2734),x2735),x2736),f42(f42(x2732,x2734),x2735))
% 0.71/0.84 [278]E(f35(x2781,x2782,f34(x2783,x2784,x2785),x2786,x2785),f35(x2781,f42(f42(x2781,x2782),x2783),x2784,x2786,x2785))
% 0.71/0.84 [284]E(f42(f42(f42(f42(x2841,x2842),x2843),f14(x2844,x2841,x2845,x2842,x2846)),f14(x2844,x2841,x2845,x2843,x2846)),f14(x2844,x2841,x2845,f42(f42(a9,x2842),x2843),x2846))
% 0.71/0.84 [315]~P40(x3151)+~E(f6(x3151),f4(x3151))
% 0.71/0.84 [316]~P29(x3161)+P13(f5(x3161),x3161)
% 0.71/0.84 [323]E(x3231,f4(a1))+P9(f4(a1),x3231,a1)
% 0.71/0.84 [340]~P1(x3401)+P15(f4(x3401),f6(x3401),x3401)
% 0.71/0.84 [341]~P1(x3411)+P9(f4(x3411),f6(x3411),x3411)
% 0.71/0.84 [375]~P1(x3751)+~P15(f6(x3751),f4(x3751),x3751)
% 0.71/0.84 [376]~P1(x3761)+~P9(f6(x3761),f4(x3761),x3761)
% 0.71/0.84 [445]P16(f45(a11,a41,a41),x4451,a41)+~P41(f42(a8,x4451))
% 0.71/0.84 [483]~P16(f45(a11,a41,a41),x4831,a41)+P41(f42(a8,x4831))
% 0.71/0.84 [317]~P37(x3171)+E(f40(f4(a1),x3171),f4(x3171))
% 0.71/0.84 [318]~P37(x3181)+E(f40(f6(a1),x3181),f6(x3181))
% 0.71/0.84 [319]~P24(x3191)+E(f39(f19(x3191),x3191),f4(x3191))
% 0.71/0.84 [346]~P25(x3461)+E(f42(f42(f5(x3461),f4(x3461)),f4(x3461)),f4(x3461))
% 0.71/0.84 [348]~P41(f42(a8,x3481))+P41(f42(a8,f10(x3481)))
% 0.71/0.84 [452]~P1(x4521)+P9(f4(x4521),f42(f42(f5(x4521),f6(x4521)),f6(x4521)),x4521)
% 0.71/0.84 [658]~P8(a8,x6581,a41)+P8(a8,f38(f7(a18,f4(a1),a41,a1,a41),x6581,a41,a41),a41)
% 0.71/0.84 [324]~P30(x3242)+P15(x3241,x3241,x3242)
% 0.71/0.84 [325]~P31(x3252)+P15(x3251,x3251,x3252)
% 0.71/0.84 [354]~P9(x3542,x3542,x3541)+~P28(x3541)
% 0.71/0.84 [355]~P9(x3552,x3552,x3551)+~P30(x3551)
% 0.71/0.84 [356]~P9(x3562,x3562,x3561)+~P31(x3561)
% 0.71/0.84 [312]E(x3121,x3122)+~E(f3(x3121),f3(x3122))
% 0.71/0.84 [313]E(x3131,x3132)+~E(f10(x3131),f10(x3132))
% 0.71/0.84 [320]~P30(x3202)+P30(f53(x3201,x3202))
% 0.71/0.84 [321]~P31(x3212)+P31(f53(x3211,x3212))
% 0.71/0.84 [326]~P28(x3262)+E(f44(x3261,x3261,x3262),x3261)
% 0.71/0.84 [358]~P1(x3581)+P15(f4(x3581),f40(x3582,x3581),x3581)
% 0.71/0.84 [395]~P1(x3951)+~P9(f40(x3952,x3951),f4(x3951),x3951)
% 0.71/0.84 [327]~P32(x3272)+E(f46(x3271,f6(a1),x3272),x3271)
% 0.71/0.84 [328]~P23(x3282)+E(f46(x3281,f6(a1),x3282),x3281)
% 0.71/0.84 [329]~P32(x3291)+E(f42(f42(f5(x3291),x3292),f4(x3291)),x3292)
% 0.71/0.84 [330]~P5(x3301)+E(f42(f42(f5(x3301),x3302),f4(x3301)),x3302)
% 0.71/0.84 [331]~P24(x3311)+E(f42(f42(f5(x3311),x3312),f4(x3311)),x3312)
% 0.71/0.84 [332]~P2(x3322)+E(f46(x3321,f4(a1),x3322),f6(x3322))
% 0.71/0.84 [333]~P32(x3332)+E(f46(x3331,f4(a1),x3332),f6(x3332))
% 0.71/0.84 [334]~P23(x3341)+E(f46(f6(x3341),x3342,x3341),f6(x3341))
% 0.71/0.84 [427]~P1(x4272)+P9(x4271,f42(f42(f5(x4272),x4271),f6(x4272)),x4272)
% 0.71/0.84 [461]~P41(f42(f42(a11,x4611),x4612))+P41(f42(f42(a11,f10(x4611)),f10(x4612)))
% 0.71/0.84 [618]~P24(x6181)+E(f36(f5(x6181),x6182,f4(x6181),x6181,x6181),f39(x6182,x6181))
% 0.71/0.84 [619]~P24(x6191)+E(f35(f5(x6191),f4(x6191),x6192,x6191,x6191),f39(x6192,x6191))
% 0.71/0.84 [642]~P24(x6421)+E(f36(f5(x6421),x6422,f4(x6421),x6421,x6421),f35(f5(x6421),f4(x6421),x6422,x6421,x6421))
% 0.71/0.84 [336]~P32(x3361)+E(f42(f42(f5(x3361),f4(x3361)),x3362),x3362)
% 0.71/0.84 [337]~P5(x3371)+E(f42(f42(f5(x3371),f4(x3371)),x3372),x3372)
% 0.71/0.84 [338]~P24(x3381)+E(f42(f42(f5(x3381),f4(x3381)),x3382),x3382)
% 0.71/0.84 [343]E(x3431,f4(a1))+~E(f42(f42(f5(a1),x3432),x3431),x3432)
% 0.71/0.84 [344]E(x3441,f4(a1))+~E(f42(f42(f5(a1),x3442),x3441),f4(a1))
% 0.71/0.84 [345]E(x3451,f4(a1))+~E(f42(f42(f5(a1),x3451),x3452),f4(a1))
% 0.71/0.84 [394]~P9(x3941,x3942,a1)+E(f42(f42(a18,f3(x3941)),x3942),f3(x3941))
% 0.71/0.84 [449]P9(x4491,x4492,a1)+E(f42(f42(a18,f3(x4491)),x4492),f3(f42(f42(f5(a1),x4491),f6(a1))))
% 0.71/0.84 [454]~P41(f42(a8,x4541))+P41(f42(a8,f42(f42(a18,x4541),x4542)))
% 0.71/0.84 [570]P41(f42(f42(f43(a11,a41),f10(x5701)),f10(x5702)))+~P41(f42(f42(f43(a11,a41),x5701),x5702))
% 0.71/0.84 [657]~P8(a8,x6572,a41)+P41(f42(a8,f35(a9,f3(x6571),x6572,a41,a41)))
% 0.71/0.84 [352]~E(f20(x3523,x3521,x3522),x3523)+E(x3521,f19(x3522))
% 0.71/0.84 [353]~E(f20(x3531,x3533,x3532),x3533)+E(x3531,f19(x3532))
% 0.71/0.84 [360]~E(f37(x3601,x3602,x3603),f19(x3603))+E(x3601,f4(a1))
% 0.71/0.84 [364]~E(f20(x3643,x3641,x3642),f19(x3642))+E(x3641,f19(x3642))
% 0.71/0.84 [365]~E(f20(x3651,x3653,x3652),f19(x3652))+E(x3651,f19(x3652))
% 0.71/0.84 [371]~P12(x3711,f3(x3712),x3713)+E(f42(x3711,x3712),x3713)
% 0.71/0.84 [377]~P28(x3773)+E(f44(x3771,x3772,x3773),f44(x3772,x3771,x3773))
% 0.71/0.84 [415]~P28(x4153)+P15(x4151,f44(x4152,x4151,x4153),x4153)
% 0.71/0.84 [416]~P28(x4163)+P15(x4161,f44(x4161,x4162,x4163),x4163)
% 0.71/0.84 [633]~E(f3(x6332),f35(a9,x6333,x6331,a41,a41))+E(x6331,f19(a41))
% 0.71/0.84 [634]~E(f10(x6342),f35(a9,x6343,x6341,a41,a41))+E(x6341,f19(a41))
% 0.71/0.84 [635]~E(f35(a9,x6352,x6351,a41,a41),f10(x6353))+E(x6351,f19(a41))
% 0.71/0.84 [637]E(x6371,f10(x6372))+~E(f35(a9,x6371,x6373,a41,a41),f10(x6372))
% 0.71/0.84 [638]E(f3(x6381),x6382)+~E(f3(x6381),f35(a9,x6382,x6383,a41,a41))
% 0.71/0.84 [639]E(f10(x6391),x6392)+~E(f10(x6391),f35(a9,x6392,x6393,a41,a41))
% 0.71/0.84 [650]E(x6501,x6502)+~E(f35(a9,x6501,x6503,a41,a41),f35(a9,x6502,x6503,a41,a41))
% 0.71/0.84 [401]~P9(x4012,x4013,a1)+E(f17(x4011,f3(x4012),x4013),f3(x4012))
% 0.71/0.84 [451]~P24(x4511)+E(f42(f42(f5(x4511),x4512),f39(x4513,x4511)),f39(f34(x4512,x4513,x4511),x4511))
% 0.71/0.84 [455]~P28(x4553)+E(f44(x4551,f44(x4551,x4552,x4553),x4553),f44(x4551,x4552,x4553))
% 0.71/0.84 [481]~P24(x4811)+E(f42(f42(f5(x4811),f39(x4812,x4811)),f39(x4813,x4811)),f39(f20(x4812,x4813,x4811),x4811))
% 0.71/0.84 [640]E(f42(f42(a9,x6401),x6402),x6403)+~E(f42(f42(a9,x6401),x6402),f35(a9,x6403,f19(a41),a41,a41))
% 0.71/0.84 [641]~P6(x6411)+E(f36(f5(x6411),x6412,x6413,x6411,x6411),f35(f5(x6411),x6413,x6412,x6411,x6411))
% 0.71/0.84 [712]~P41(f42(f42(a11,x7121),x7123))+P41(f42(f42(a11,f35(a9,x7121,x7122,a41,a41)),f35(a9,x7123,x7122,a41,a41)))
% 0.71/0.84 [714]~P11(a11,x7142,x7143,a41)+P41(f42(f42(a11,f35(a9,x7141,x7142,a41,a41)),f35(a9,x7141,x7143,a41,a41)))
% 0.71/0.84 [373]~P32(x3731)+E(f42(f42(f5(x3731),x3732),x3733),f42(f42(f5(x3731),x3733),x3732))
% 0.71/0.84 [374]~P5(x3741)+E(f42(f42(f5(x3741),x3742),x3743),f42(f42(f5(x3741),x3743),x3742))
% 0.71/0.84 [397]E(x3971,x3972)+~E(f42(f42(f5(a1),x3973),x3971),f42(f42(f5(a1),x3973),x3972))
% 0.71/0.84 [398]E(x3981,x3982)+~E(f42(f42(f5(a1),x3981),x3983),f42(f42(f5(a1),x3982),x3983))
% 0.71/0.84 [418]E(x4181,x4182)+~P41(f42(f42(f47(x4183),x4181),x4182))
% 0.71/0.84 [457]~P9(x4571,x4573,a1)+P9(x4571,f42(f42(f5(a1),x4572),x4573),a1)
% 0.71/0.84 [459]~P9(x4591,x4592,a1)+P9(x4591,f42(f42(f5(a1),x4592),x4593),a1)
% 0.71/0.84 [495]P9(x4951,x4952,a1)+~P9(f42(f42(f5(a1),x4951),x4953),x4952,a1)
% 0.71/0.84 [511]~P9(x5111,x5113,a1)+P9(f42(f42(f5(a1),x5111),x5112),f42(f42(f5(a1),x5113),x5112),a1)
% 0.71/0.84 [512]~P9(x5122,x5123,a1)+P9(f42(f42(f5(a1),x5121),x5122),f42(f42(f5(a1),x5121),x5123),a1)
% 0.71/0.84 [562]P9(x5621,x5622,a1)+~P9(f42(f42(f5(a1),x5623),x5621),f42(f42(f5(a1),x5623),x5622),a1)
% 0.71/0.84 [594]~P41(f42(f42(a11,x5941),x5943))+P41(f42(f42(a11,f42(f42(a18,x5941),x5942)),f42(f42(a18,x5943),x5942)))
% 0.71/0.84 [595]~P41(f42(f42(a11,x5951),x5953))+P41(f42(f42(a11,f42(f42(a9,x5951),x5952)),f42(f42(a9,x5953),x5952)))
% 0.71/0.84 [596]~P41(f42(f42(a11,x5962),x5963))+P41(f42(f42(a11,f42(f42(a9,x5961),x5962)),f42(f42(a9,x5961),x5963)))
% 0.71/0.84 [604]~P41(f42(f42(f43(a11,a41),x6041),x6043))+P41(f42(f42(f43(a11,a41),f42(f42(a18,x6041),x6042)),f42(f42(a18,x6043),x6042)))
% 0.71/0.84 [605]~P41(f42(f42(f43(a11,a41),x6051),x6053))+P41(f42(f42(f43(a11,a41),f42(f42(a9,x6051),x6052)),f42(f42(a9,x6053),x6052)))
% 0.71/0.84 [606]~P41(f42(f42(f43(a11,a41),x6062),x6063))+P41(f42(f42(f43(a11,a41),f42(f42(a9,x6061),x6062)),f42(f42(a9,x6061),x6063)))
% 0.71/0.84 [646]~P24(x6461)+E(f42(f42(f5(x6461),x6462),f36(f5(x6461),x6463,f4(x6461),x6461,x6461)),f35(f5(x6461),x6462,x6463,x6461,x6461))
% 0.71/0.84 [647]~P24(x6471)+E(f42(f42(f5(x6471),x6472),f35(f5(x6471),f4(x6471),x6473,x6471,x6471)),f35(f5(x6471),x6472,x6473,x6471,x6471))
% 0.71/0.84 [713]P41(f42(f42(f43(a11,a41),f35(a9,x7131,x7132,a41,a41)),f35(a9,x7133,x7132,a41,a41)))+~P41(f42(f42(f43(a11,a41),x7131),x7133))
% 0.71/0.84 [447]~P9(x4471,x4473,a1)+E(f42(f42(f42(a21,f3(x4471)),x4472),x4473),f3(x4471))
% 0.71/0.84 [453]P9(x4532,x4533,a1)+E(f17(x4531,f3(x4532),x4533),f3(f42(f42(f5(a1),x4532),x4531)))
% 0.71/0.84 [472]~P37(x4721)+E(f42(f42(f5(x4721),f40(x4722,x4721)),f40(x4723,x4721)),f40(f42(f42(f5(a1),x4722),x4723),x4721))
% 0.71/0.84 [574]~P41(f42(a8,x5741))+P41(f42(a8,f42(f42(f42(a21,x5741),f3(x5742)),x5743)))
% 0.71/0.84 [717]P11(a11,x7171,f33(x7172,x7171,x7173),a41)+~P41(f42(f42(a11,f35(a9,f3(x7172),x7171,a41,a41)),x7173))
% 0.71/0.84 [720]E(f35(a9,f3(x7201),f33(x7201,x7202,x7203),a41,a41),x7203)+~P41(f42(f42(a11,f35(a9,f3(x7201),x7202,a41,a41)),x7203))
% 0.71/0.84 [420]E(x4201,x4202)+~E(f20(x4203,x4201,x4204),f20(x4203,x4202,x4204))
% 0.71/0.84 [422]E(x4221,x4222)+~E(f20(x4221,x4223,x4224),f20(x4222,x4223,x4224))
% 0.71/0.84 [499]P8(x4991,x4992,x4993)+~P8(x4991,f20(x4994,x4992,x4993),x4993)
% 0.71/0.84 [500]P8(x5001,x5002,x5003)+~P8(x5001,f20(x5002,x5004,x5003),x5003)
% 0.71/0.84 [555]~E(f38(x5553,x5551,x5552,x5554),f19(x5554))+E(x5551,f19(x5552))
% 0.71/0.84 [383]E(x3831,x3832)+~E(f42(f42(a9,x3833),x3831),f42(f42(a9,x3834),x3832))
% 0.71/0.84 [384]E(x3841,x3842)+~E(f42(f42(a9,x3841),x3843),f42(f42(a9,x3842),x3844))
% 0.71/0.84 [392]~P14(x3922,x3921,x3924)+E(f42(f42(x3921,x3922),x3923),x3923)
% 0.71/0.84 [393]~P14(x3933,x3931,x3934)+E(f42(f42(x3931,x3932),x3933),x3932)
% 0.71/0.84 [518]~P28(x5184)+E(f44(x5181,f44(x5182,x5183,x5184),x5184),f44(x5182,f44(x5181,x5183,x5184),x5184))
% 0.71/0.84 [519]~P28(x5193)+E(f44(f44(x5191,x5192,x5193),x5194,x5193),f44(x5191,f44(x5192,x5194,x5193),x5193))
% 0.71/0.84 [652]E(x6521,x6522)+~E(f35(a9,f3(x6523),x6521,a41,a41),f35(a9,f3(x6524),x6522,a41,a41))
% 0.71/0.84 [653]E(x6531,x6532)+~E(f35(a9,f10(x6533),x6531,a41,a41),f35(a9,f10(x6534),x6532,a41,a41))
% 0.71/0.84 [654]E(x6541,x6542)+~E(f35(a9,f3(x6541),x6543,a41,a41),f35(a9,f3(x6542),x6544,a41,a41))
% 0.71/0.84 [655]E(x6551,x6552)+~E(f35(a9,f10(x6551),x6553,a41,a41),f35(a9,f10(x6552),x6554,a41,a41))
% 0.71/0.84 [656]P17(x6561,x6562,f49(x6563,x6561,x6564,x6562))+~P12(x6561,f35(a9,f3(x6564),x6562,a41,a41),x6563)
% 0.71/0.84 [501]~P41(f42(f42(x5011,x5013),x5014))+P41(f42(f42(f43(x5011,x5012),x5013),x5014))
% 0.71/0.84 [502]~P32(x5021)+E(f42(f42(f5(x5021),x5022),f42(f42(f5(x5021),x5023),x5024)),f42(f42(f5(x5021),x5023),f42(f42(f5(x5021),x5022),x5024)))
% 0.71/0.84 [503]~P5(x5031)+E(f42(f42(f5(x5031),x5032),f42(f42(f5(x5031),x5033),x5034)),f42(f42(f5(x5031),x5033),f42(f42(f5(x5031),x5032),x5034)))
% 0.71/0.84 [504]~P19(x5041)+E(f42(f42(f5(x5041),x5042),f42(f42(f5(x5041),x5043),x5044)),f42(f42(f5(x5041),x5043),f42(f42(f5(x5041),x5042),x5044)))
% 0.71/0.84 [582]~P4(x5821)+E(f44(f42(f42(f5(x5821),x5822),x5823),f42(f42(f5(x5821),x5824),x5823),x5821),f42(f42(f5(x5821),f44(x5822,x5824,x5821)),x5823))
% 0.71/0.84 [616]~P41(f42(f42(a11,x6161),x6164))+P41(f42(f42(a11,f42(f42(f42(a21,x6161),x6162),x6163)),f42(f42(f42(a21,x6164),x6162),x6163)))
% 0.71/0.84 [620]~P41(f42(f42(a11,x6202),x6204))+P41(f42(f42(f43(a11,a41),f42(f42(f42(a21,x6201),x6202),x6203)),f42(f42(f42(a21,x6201),x6204),x6203)))
% 0.71/0.84 [622]~P41(f42(f42(f43(x6221,x6222),x6224),x6223))+P41(f42(f42(f43(f45(x6221,x6222,x6222),x6222),x6223),x6224))
% 0.71/0.84 [624]~P41(f42(f42(f43(a11,a41),x6241),x6244))+P41(f42(f42(f43(a11,a41),f42(f42(f42(a21,x6241),x6242),x6243)),f42(f42(f42(a21,x6244),x6242),x6243)))
% 0.71/0.84 [625]~P41(f42(f42(f43(a11,a41),x6252),x6254))+P41(f42(f42(f43(a11,a41),f42(f42(f42(a21,x6251),x6252),x6253)),f42(f42(f42(a21,x6251),x6254),x6253)))
% 0.71/0.84 [632]P41(f42(f42(f43(x6321,x6322),x6323),x6324))+~P41(f42(f42(f43(f45(x6321,x6322,x6322),x6322),x6324),x6323))
% 0.71/0.84 [651]~P29(x6511)+E(f35(f5(x6511),f42(f42(f5(x6511),x6512),x6513),x6514,x6511,x6511),f42(f42(f5(x6511),x6512),f35(f5(x6511),x6513,x6514,x6511,x6511)))
% 0.71/0.84 [559]~P32(x5591)+E(f42(f42(f5(x5591),f42(f42(f5(x5591),x5592),x5593)),x5594),f42(f42(f5(x5591),x5592),f42(f42(f5(x5591),x5593),x5594)))
% 0.71/0.84 [560]~P5(x5601)+E(f42(f42(f5(x5601),f42(f42(f5(x5601),x5602),x5603)),x5604),f42(f42(f5(x5601),x5602),f42(f42(f5(x5601),x5603),x5604)))
% 0.71/0.84 [561]~P6(x5611)+E(f42(f42(f5(x5611),f42(f42(f5(x5611),x5612),x5613)),x5614),f42(f42(f5(x5611),x5612),f42(f42(f5(x5611),x5613),x5614)))
% 0.71/0.84 [581]~P32(x5811)+E(f42(f42(f5(x5811),f42(f42(f5(x5811),x5812),x5813)),x5814),f42(f42(f5(x5811),f42(f42(f5(x5811),x5812),x5814)),x5813))
% 0.71/0.84 [617]~P9(x6172,f42(f42(f5(a1),x6174),f6(a1)),a1)+E(f42(f42(f42(a21,f42(f42(a18,x6171),x6172)),f42(f42(a18,x6173),x6172)),f42(f42(f5(a1),x6174),f6(a1))),f42(f42(a18,f42(f42(f42(a21,x6171),x6173),x6174)),x6172))
% 0.71/0.84 [636]~P9(x6364,f42(f42(f5(a1),x6362),f6(a1)),a1)+E(f42(f42(f42(a21,f42(f42(a18,x6361),f42(f42(f5(a1),x6362),f6(a1)))),f42(f42(a18,x6363),x6362)),x6364),f42(f42(a18,f42(f42(f42(a21,x6361),x6363),x6364)),x6362))
% 0.71/0.84 [419]E(x4191,x4192)+~E(f34(x4193,x4191,x4194),f34(x4195,x4192,x4194))
% 0.71/0.84 [421]E(x4211,x4212)+~E(f34(x4211,x4213,x4214),f34(x4212,x4215,x4214))
% 0.71/0.84 [423]E(x4231,x4232)+~E(f37(x4231,x4233,x4234),f37(x4232,x4235,x4234))
% 0.71/0.84 [607]~P11(x6071,x6073,x6075,x6074)+P11(x6071,f34(x6072,x6073,x6074),f34(x6072,x6075,x6074),x6074)
% 0.71/0.84 [608]~P11(x6081,x6082,x6085,x6084)+P11(x6081,f20(x6082,x6083,x6084),f20(x6085,x6083,x6084),x6084)
% 0.71/0.84 [609]~P11(x6091,x6093,x6095,x6094)+P11(x6091,f20(x6092,x6093,x6094),f20(x6092,x6095,x6094),x6094)
% 0.71/0.84 [590]P11(x5901,f34(x5902,x5903,x5904),f34(x5905,x5903,x5904),x5904)+~P41(f42(f42(x5901,x5902),x5905))
% 0.71/0.84 [591]~P9(x5915,x5912,a1)+E(f42(f48(x5911,x5912,x5913,x5914),x5915),f42(x5911,x5915))
% 0.71/0.84 [599]~P12(x5991,x5994,x5995)+P12(f48(x5991,x5992,x5993,a52),f42(f42(a18,x5994),x5992),x5995)
% 0.71/0.84 [648]~P14(x6483,x6481,x6485)+E(f42(f42(x6481,x6482),f35(x6481,x6483,x6484,x6485,x6485)),f35(x6481,x6482,x6484,x6485,x6485))
% 0.71/0.84 [659]~P17(x6591,x6594,x6595)+P17(f48(x6591,x6592,x6593,a52),f38(f7(a18,x6592,a41,a1,a41),x6594,a41,a41),x6595)
% 0.71/0.84 [584]E(x5841,x5842)+~E(f20(x5843,f34(x5841,f19(x5844),x5844),x5844),f20(x5845,f34(x5842,f19(x5844),x5844),x5844))
% 0.71/0.84 [585]E(x5851,x5852)+~E(f20(x5851,f34(x5853,f19(x5854),x5854),x5854),f20(x5852,f34(x5855,f19(x5854),x5854),x5854))
% 0.71/0.84 [598]~P41(f42(f42(x5981,x5985),x5984))+P41(f42(f42(f45(x5981,x5982,x5983),x5984),x5985))
% 0.71/0.84 [611]P41(f42(f42(x6111,x6112),x6113))+~P41(f42(f42(f45(x6111,x6114,x6115),x6113),x6112))
% 0.71/0.84 [649]~P13(x6491,x6495)+E(f35(x6491,f42(f42(x6491,x6492),x6493),x6494,x6495,x6495),f42(f42(x6491,x6492),f35(x6491,x6493,x6494,x6495,x6495)))
% 0.71/0.84 [666]P41(f42(x6661,f42(x6662,x6663)))+~P41(f42(x6661,f13(x6664,x6665,x6662,f10(x6663),a51)))
% 0.71/0.84 [668]P41(f42(x6681,f42(x6682,x6683)))+~P41(f42(x6681,f13(x6682,x6684,x6685,f3(x6683),a51)))
% 0.71/0.84 [521]~P13(x5211,x5215)+E(f42(f42(x5211,f42(f42(x5211,x5212),x5213)),x5214),f42(f42(x5211,x5212),f42(f42(x5211,x5213),x5214)))
% 0.71/0.84 [600]~P32(x6001)+E(f42(f42(f5(x6001),f42(f42(f5(x6001),x6002),x6003)),f42(f42(f5(x6001),x6004),x6005)),f42(f42(f5(x6001),f42(f42(f5(x6001),x6002),x6004)),f42(f42(f5(x6001),x6003),x6005)))
% 0.71/0.84 [673]P41(f42(x6731,f42(f42(x6732,x6733),x6734)))+~P41(f42(x6731,f13(x6735,x6732,x6736,f42(f42(a9,x6733),x6734),a51)))
% 0.71/0.84 [675]~P10(x6754,x6751,x6755,x6756,x6752,x6757)+E(f42(f42(x6751,x6752),x6753),x6753)
% 0.71/0.84 [676]~P10(x6764,x6761,x6765,x6763,x6766,x6767)+E(f42(f42(x6761,x6762),x6763),x6763)
% 0.71/0.84 [678]~P10(x6781,x6784,x6785,x6782,x6786,x6787)+E(f42(f42(x6781,x6782),x6783),x6783)
% 0.71/0.84 [679]~P10(x6794,x6791,x6795,x6796,x6793,x6797)+E(f42(f42(x6791,x6792),x6793),x6792)
% 0.71/0.84 [681]~P10(x6814,x6811,x6815,x6812,x6816,x6817)+E(f42(f42(x6811,x6812),x6813),x6812)
% 0.71/0.84 [682]~P10(x6821,x6824,x6825,x6823,x6826,x6827)+E(f42(f42(x6821,x6822),x6823),x6822)
% 0.71/0.84 [683]~P10(x6834,x6835,x6831,x6836,x6833,x6837)+E(f42(f42(x6831,x6832),f4(a1)),x6833)
% 0.71/0.84 [684]~P10(x6843,x6844,x6841,x6845,x6846,x6847)+E(f42(f42(x6841,x6842),f6(a1)),x6842)
% 0.71/0.84 [689]~P10(x6891,x6893,x6895,x6896,x6894,x6897)+E(f42(f42(x6891,x6892),x6892),f42(f42(x6893,f42(f42(x6891,x6894),x6894)),x6892))
% 0.71/0.84 [686]~P10(x6864,x6861,x6865,x6866,x6867,x6868)+E(f42(f42(x6861,x6862),x6863),f42(f42(x6861,x6863),x6862))
% 0.71/0.84 [688]~P10(x6881,x6884,x6885,x6886,x6887,x6888)+E(f42(f42(x6881,x6882),x6883),f42(f42(x6881,x6883),x6882))
% 0.71/0.84 [692]~P10(x6921,x6923,x6926,x6927,x6925,x6928)+E(f42(f42(x6921,x6922),f42(f42(x6923,x6924),x6922)),f42(f42(x6923,f42(f42(x6921,x6924),x6925)),x6922))
% 0.71/0.84 [699]~P10(x6991,x6992,x6996,x6997,x6995,x6998)+E(f42(f42(x6991,f42(f42(x6992,x6993),x6994)),x6994),f42(f42(x6992,f42(f42(x6991,x6993),x6995)),x6994))
% 0.71/0.84 [690]~P10(x6905,x6901,x6906,x6907,x6908,x6909)+E(f42(f42(x6901,x6902),f42(f42(x6901,x6903),x6904)),f42(f42(x6901,x6903),f42(f42(x6901,x6902),x6904)))
% 0.71/0.84 [691]~P10(x6911,x6915,x6916,x6917,x6918,x6919)+E(f42(f42(x6911,x6912),f42(f42(x6911,x6913),x6914)),f42(f42(x6911,x6913),f42(f42(x6911,x6912),x6914)))
% 0.71/0.84 [702]~P10(x7021,x7022,x7026,x7027,x7028,x7029)+E(f42(f42(x7021,f42(f42(x7022,x7023),x7024)),f42(f42(x7022,x7023),x7025)),f42(f42(x7022,x7023),f42(f42(x7021,x7024),x7025)))
% 0.71/0.84 [697]~P10(x6975,x6971,x6976,x6977,x6978,x6979)+E(f42(f42(x6971,f42(f42(x6971,x6972),x6973)),x6974),f42(f42(x6971,x6972),f42(f42(x6971,x6973),x6974)))
% 0.71/0.84 [698]~P10(x6981,x6985,x6986,x6987,x6988,x6989)+E(f42(f42(x6981,f42(f42(x6981,x6982),x6983)),x6984),f42(f42(x6981,x6982),f42(f42(x6981,x6983),x6984)))
% 0.71/0.84 [700]~P10(x7005,x7001,x7006,x7007,x7008,x7009)+E(f42(f42(x7001,f42(f42(x7001,x7002),x7003)),x7004),f42(f42(x7001,f42(f42(x7001,x7002),x7004)),x7003))
% 0.71/0.84 [701]~P10(x7011,x7015,x7016,x7017,x7018,x7019)+E(f42(f42(x7011,f42(f42(x7011,x7012),x7013)),x7014),f42(f42(x7011,f42(f42(x7011,x7012),x7014)),x7013))
% 0.71/0.84 [703]~P10(x7036,x7031,x7032,x7037,x7038,x7039)+E(f42(f42(x7031,f42(f42(x7032,x7033),x7034)),f42(f42(x7032,x7033),x7035)),f42(f42(x7032,x7033),f42(f42(f5(a1),x7034),x7035)))
% 0.71/0.84 [704]~P10(x7046,x7041,x7042,x7047,x7048,x7049)+E(f42(f42(x7041,f42(f42(x7042,x7043),x7044)),f42(f42(x7042,x7045),x7044)),f42(f42(x7042,f42(f42(x7041,x7043),x7045)),x7044))
% 0.71/0.84 [706]~P10(x7061,x7062,x7066,x7067,x7068,x7069)+E(f42(f42(x7061,f42(f42(x7062,x7063),x7064)),f42(f42(x7062,x7065),x7064)),f42(f42(x7062,f42(f42(x7061,x7063),x7065)),x7064))
% 0.71/0.84 [708]~P10(x7086,x7081,x7087,x7088,x7089,x70810)+E(f42(f42(x7081,f42(f42(x7081,x7082),x7083)),f42(f42(x7081,x7084),x7085)),f42(f42(x7081,f42(f42(x7081,x7082),x7084)),f42(f42(x7081,x7083),x7085)))
% 0.71/0.84 [709]~P10(x7091,x7096,x7097,x7098,x7099,x70910)+E(f42(f42(x7091,f42(f42(x7091,x7092),x7093)),f42(f42(x7091,x7094),x7095)),f42(f42(x7091,f42(f42(x7091,x7092),x7094)),f42(f42(x7091,x7093),x7095)))
% 0.71/0.84 [443]~P27(x4431)+~P15(f4(x4431),f4(x4431),x4431)+E(f42(f42(f5(x4431),f4(x4431)),f4(x4431)),f4(x4431))
% 0.71/0.84 [370]E(x3701,x3702)+P9(x3702,x3701,a1)+P9(x3701,x3702,a1)
% 0.71/0.84 [442]~P1(x4421)+P9(f4(x4421),f40(x4422,x4421),x4421)+~P9(f4(a1),x4422,a1)
% 0.71/0.84 [448]~P1(x4482)+~P9(f4(x4482),f40(x4481,x4482),x4482)+P9(f4(a1),x4481,a1)
% 0.71/0.84 [339]~P35(x3391)+~P18(x3391)+E(f42(f42(f5(x3391),x3392),f4(x3391)),x3392)
% 0.71/0.84 [366]~P25(x3662)+E(x3661,f4(x3662))+~E(f42(f42(f5(x3662),x3661),x3661),f4(x3662))
% 0.71/0.84 [484]~P25(x4841)+~P15(f4(x4841),x4842,x4841)+P15(f4(x4841),f42(f42(f5(x4841),x4842),x4842),x4841)
% 0.71/0.84 [485]~P25(x4851)+~P9(f4(x4851),x4852,x4851)+P9(f4(x4851),f42(f42(f5(x4851),x4852),x4852),x4851)
% 0.71/0.84 [486]~P25(x4861)+~P15(x4862,f4(x4861),x4861)+P15(f42(f42(f5(x4861),x4862),x4862),f4(x4861),x4861)
% 0.71/0.84 [487]~P25(x4871)+~P9(x4872,f4(x4871),x4871)+P9(f42(f42(f5(x4871),x4872),x4872),f4(x4871),x4871)
% 0.71/0.84 [488]~P36(x4881)+~P9(x4882,f4(x4881),x4881)+P9(f42(f42(f5(x4881),x4882),x4882),f4(x4881),x4881)
% 0.71/0.84 [513]~P25(x5132)+P15(x5131,f4(x5132),x5132)+~P15(f42(f42(f5(x5132),x5131),x5131),f4(x5132),x5132)
% 0.71/0.84 [514]~P25(x5142)+P9(x5141,f4(x5142),x5142)+~P9(f42(f42(f5(x5142),x5141),x5141),f4(x5142),x5142)
% 0.71/0.84 [515]~P36(x5152)+P9(x5151,f4(x5152),x5152)+~P9(f42(f42(f5(x5152),x5151),x5151),f4(x5152),x5152)
% 0.71/0.84 [516]~P25(x5161)+P15(f4(x5161),x5162,x5161)+~P15(f4(x5161),f42(f42(f5(x5161),x5162),x5162),x5161)
% 0.71/0.84 [517]~P25(x5171)+P9(f4(x5171),x5172,x5171)+~P9(f4(x5171),f42(f42(f5(x5171),x5172),x5172),x5171)
% 0.71/0.84 [526]P9(f4(a1),x5261,a1)+P9(f4(a1),x5262,a1)+~P9(f4(a1),f42(f42(f5(a1),x5261),x5262),a1)
% 0.71/0.84 [670]P41(f42(x6701,x6702))+P41(f42(x6701,f25(x6701)))+~P41(f42(x6701,f35(a9,f3(f26(x6701)),f27(x6701),a41,a41)))
% 0.71/0.84 [671]P41(f42(x6711,x6712))+P41(f42(x6711,f29(x6711)))+~P41(f42(x6711,f35(a9,f3(f30(x6711)),f31(x6711),a41,a41)))
% 0.71/0.84 [715]P41(f42(x7151,x7152))+~P41(f42(x7151,f35(a9,f3(f26(x7151)),f27(x7151),a41,a41)))+~P41(f42(x7151,f35(a9,f10(f25(x7151)),f28(x7151),a41,a41)))
% 0.71/0.84 [716]P41(f42(x7161,x7162))+~P41(f42(x7161,f35(a9,f3(f30(x7161)),f31(x7161),a41,a41)))+~P41(f42(x7161,f35(a9,f10(f29(x7161)),f32(x7161),a41,a41)))
% 0.71/0.84 [378]P15(x3782,x3781,x3783)+~P28(x3783)+P15(x3781,x3782,x3783)
% 0.71/0.84 [381]P9(x3812,x3811,x3813)+~P28(x3813)+P15(x3811,x3812,x3813)
% 0.71/0.84 [399]~P30(x3993)+~P9(x3991,x3992,x3993)+P15(x3991,x3992,x3993)
% 0.71/0.84 [400]~P31(x4003)+~P9(x4001,x4002,x4003)+P15(x4001,x4002,x4003)
% 0.71/0.84 [430]~P9(x4303,x4302,x4301)+~P28(x4301)+~P15(x4302,x4303,x4301)
% 0.71/0.84 [432]~P9(x4323,x4322,x4321)+~P28(x4321)+~P9(x4322,x4323,x4321)
% 0.71/0.84 [433]~P9(x4333,x4332,x4331)+~P30(x4331)+~P9(x4332,x4333,x4331)
% 0.71/0.84 [434]~P9(x4343,x4342,x4341)+~P31(x4341)+~P15(x4342,x4343,x4341)
% 0.71/0.84 [436]~P9(x4363,x4362,x4361)+~P31(x4361)+~P9(x4362,x4363,x4361)
% 0.71/0.84 [322]~P7(x3223)+E(x3221,x3222)+~E(f40(x3221,x3223),f40(x3222,x3223))
% 0.71/0.84 [368]~P39(x3682)+~E(f46(x3681,x3683,x3682),f4(x3682))+E(x3681,f4(x3682))
% 0.71/0.84 [402]~P28(x4023)+~P15(x4021,x4022,x4023)+E(f44(x4021,x4022,x4023),x4022)
% 0.71/0.85 [403]~P28(x4033)+~P15(x4032,x4031,x4033)+E(f44(x4031,x4032,x4033),x4031)
% 0.71/0.85 [404]~P28(x4043)+P15(x4041,x4042,x4043)+~E(f44(x4041,x4042,x4043),x4042)
% 0.71/0.85 [446]~P1(x4462)+~P9(x4461,x4463,a1)+P9(f40(x4461,x4462),f40(x4463,x4462),x4462)
% 0.71/0.85 [460]~P1(x4603)+~P9(f40(x4601,x4603),f40(x4602,x4603),x4603)+P9(x4601,x4602,a1)
% 0.71/0.85 [491]~P1(x4911)+~P15(f4(x4911),x4912,x4911)+P15(f4(x4911),f46(x4912,x4913,x4911),x4911)
% 0.71/0.85 [492]~P1(x4921)+~P15(f6(x4921),x4922,x4921)+P15(f6(x4921),f46(x4922,x4923,x4921),x4921)
% 0.71/0.85 [493]~P1(x4931)+~P9(f4(x4931),x4932,x4931)+P9(f4(x4931),f46(x4932,x4933,x4931),x4931)
% 0.71/0.85 [417]E(x4171,x4172)+P9(x4172,x4171,a1)+E(f42(f42(f42(a21,f3(x4171)),x4173),x4172),f3(x4171))
% 0.71/0.85 [664]~P16(f45(a11,a41,a41),x6642,a41)+~P16(f45(a11,a41,a41),f35(a9,f42(f42(f42(a21,x6641),x6642),f4(a1)),x6643,a41,a41),a41)+P16(f45(a11,a41,a41),f35(a9,f42(f42(a9,f10(x6641)),x6642),x6643,a41,a41),a41)
% 0.71/0.85 [711]~P41(f42(a8,x7112))+~P41(f42(a8,f35(a9,f42(f42(f42(a21,x7111),x7112),f4(a1)),x7113,a41,a41)))+P41(f42(a8,f35(a9,f42(f42(a9,f10(x7111)),x7112),x7113,a41,a41)))
% 0.71/0.85 [474]~P28(x4744)+~P15(x4741,x4743,x4744)+P15(x4741,f44(x4742,x4743,x4744),x4744)
% 0.71/0.85 [476]~P28(x4764)+~P15(x4761,x4762,x4764)+P15(x4761,f44(x4762,x4763,x4764),x4764)
% 0.71/0.85 [478]~P28(x4784)+~P9(x4781,x4783,x4784)+P9(x4781,f44(x4782,x4783,x4784),x4784)
% 0.71/0.85 [480]~P28(x4804)+~P9(x4801,x4802,x4804)+P9(x4801,f44(x4802,x4803,x4804),x4804)
% 0.71/0.85 [506]~P28(x5063)+P15(x5061,x5062,x5063)+~P15(f44(x5064,x5061,x5063),x5062,x5063)
% 0.71/0.85 [508]~P28(x5083)+P15(x5081,x5082,x5083)+~P15(f44(x5081,x5084,x5083),x5082,x5083)
% 0.71/0.85 [509]~P28(x5093)+P9(x5091,x5092,x5093)+~P9(f44(x5094,x5091,x5093),x5092,x5093)
% 0.71/0.85 [510]~P28(x5103)+P9(x5101,x5102,x5103)+~P9(f44(x5101,x5104,x5103),x5102,x5103)
% 0.71/0.85 [520]~P8(x5201,x5203,x5204)+~P8(x5201,x5202,x5204)+P8(x5201,f20(x5202,x5203,x5204),x5204)
% 0.71/0.85 [482]P12(x4821,x4822,x4823)+~P12(x4821,x4824,x4823)+~P41(f42(f42(a11,x4824),x4822))
% 0.71/0.85 [490]P16(x4901,x4902,x4903)+~P16(x4901,x4904,x4903)+~P41(f42(f42(x4901,x4902),x4904))
% 0.71/0.85 [645]E(x6451,f19(a41))+E(f35(a9,x6452,f24(x6453,x6454,x6452,x6451),a41,a41),x6453)+~E(f42(f42(a9,x6453),x6454),f35(a9,x6452,x6451,a41,a41))
% 0.71/0.85 [424]~P20(x4243)+E(x4241,x4242)+~E(f42(f42(f5(x4243),x4244),x4241),f42(f42(f5(x4243),x4244),x4242))
% 0.71/0.85 [425]~P21(x4253)+E(x4251,x4252)+~E(f42(f42(f5(x4253),x4254),x4251),f42(f42(f5(x4253),x4254),x4252))
% 0.71/0.85 [426]~P21(x4263)+E(x4261,x4262)+~E(f42(f42(f5(x4263),x4261),x4264),f42(f42(f5(x4263),x4262),x4264))
% 0.71/0.85 [496]~P9(x4964,x4963,a1)+P9(x4961,x4962,a1)+~E(f42(f42(f5(a1),x4961),x4963),f42(f42(f5(a1),x4964),x4962))
% 0.71/0.85 [528]~P4(x5281)+~P15(x5282,x5284,x5281)+P15(f42(f42(f5(x5281),x5282),x5283),f42(f42(f5(x5281),x5284),x5283),x5281)
% 0.71/0.85 [529]~P22(x5291)+~P15(x5292,x5294,x5291)+P15(f42(f42(f5(x5291),x5292),x5293),f42(f42(f5(x5291),x5294),x5293),x5291)
% 0.71/0.85 [530]~P4(x5301)+~P15(x5303,x5304,x5301)+P15(f42(f42(f5(x5301),x5302),x5303),f42(f42(f5(x5301),x5302),x5304),x5301)
% 0.71/0.85 [531]~P22(x5311)+~P15(x5313,x5314,x5311)+P15(f42(f42(f5(x5311),x5312),x5313),f42(f42(f5(x5311),x5312),x5314),x5311)
% 0.71/0.85 [532]~P3(x5321)+~P9(x5322,x5324,x5321)+P9(f42(f42(f5(x5321),x5322),x5323),f42(f42(f5(x5321),x5324),x5323),x5321)
% 0.71/0.85 [533]~P4(x5331)+~P9(x5332,x5334,x5331)+P9(f42(f42(f5(x5331),x5332),x5333),f42(f42(f5(x5331),x5334),x5333),x5331)
% 0.71/0.85 [534]~P3(x5341)+~P9(x5343,x5344,x5341)+P9(f42(f42(f5(x5341),x5342),x5343),f42(f42(f5(x5341),x5342),x5344),x5341)
% 0.71/0.85 [535]~P4(x5351)+~P9(x5353,x5354,x5351)+P9(f42(f42(f5(x5351),x5352),x5353),f42(f42(f5(x5351),x5352),x5354),x5351)
% 0.71/0.85 [552]P12(x5521,x5522,x5523)+~P12(x5521,x5524,x5523)+~P41(f42(f42(f43(a11,a41),x5524),x5522))
% 0.71/0.85 [556]~P9(x5562,x5564,a1)+~P9(x5561,x5563,a1)+P9(f42(f42(f5(a1),x5561),x5562),f42(f42(f5(a1),x5563),x5564),a1)
% 0.71/0.85 [564]P16(x5641,x5642,x5643)+~P16(x5641,x5644,x5643)+~P41(f42(f42(f43(x5641,x5643),x5642),x5644))
% 0.71/0.85 [576]~P4(x5763)+P15(x5761,x5762,x5763)+~P15(f42(f42(f5(x5763),x5764),x5761),f42(f42(f5(x5763),x5764),x5762),x5763)
% 0.71/0.85 [577]~P4(x5773)+P15(x5771,x5772,x5773)+~P15(f42(f42(f5(x5773),x5771),x5774),f42(f42(f5(x5773),x5772),x5774),x5773)
% 0.71/0.85 [578]~P4(x5783)+P9(x5781,x5782,x5783)+~P9(f42(f42(f5(x5783),x5784),x5781),f42(f42(f5(x5783),x5784),x5782),x5783)
% 0.71/0.85 [579]~P4(x5793)+P9(x5791,x5792,x5793)+~P9(f42(f42(f5(x5793),x5791),x5794),f42(f42(f5(x5793),x5792),x5794),x5793)
% 0.71/0.85 [614]~P41(f42(f42(f43(a11,a41),x6141),x6143))+~P41(f42(f42(f43(a11,a41),x6142),x6144))+P41(f42(f42(f43(a11,a41),f42(f42(a9,x6141),x6142)),f42(f42(a9,x6143),x6144)))
% 0.71/0.85 [428]E(x4281,x4282)+~E(f37(x4283,x4281,x4284),f37(x4285,x4282,x4284))+E(x4283,f4(a1))
% 0.71/0.85 [669]E(x6691,x6692)+~P12(x6693,f35(a9,f3(x6694),x6695,a41,a41),x6691)+~P12(x6693,f35(a9,f3(x6694),x6695,a41,a41),x6692)
% 0.71/0.85 [592]~P41(f42(f42(x5921,x5925),x5924))+~P41(f42(f42(f43(x5921,x5922),x5923),x5925))+P41(f42(f42(f43(x5921,x5922),x5923),x5924))
% 0.71/0.85 [593]~P41(f42(f42(x5931,x5933),x5935))+~P41(f42(f42(f43(x5931,x5932),x5935),x5934))+P41(f42(f42(f43(x5931,x5932),x5933),x5934))
% 0.71/0.85 [602]~P41(f42(f42(f43(x6021,x6022),x6023),x6025))+P41(f42(f42(f43(x6021,x6022),x6023),x6024))+~P41(f42(f42(f43(x6021,x6022),x6025),x6024))
% 0.71/0.85 [551]~P19(x5511)+E(f42(f42(f5(x5511),x5512),x5513),x5514)+~E(f42(f42(f5(x5511),x5512),f42(f42(f5(x5511),x5515),x5513)),f42(f42(f5(x5511),x5515),x5514))
% 0.71/0.85 [601]E(x6011,x6012)+E(x6013,x6014)+~P11(x6015,f34(x6014,x6012,x6016),f34(x6013,x6011,x6016),x6016)
% 0.71/0.85 [612]E(x6121,x6122)+P11(x6123,x6121,x6122,x6124)+~P11(x6123,f34(x6125,x6121,x6124),f34(x6126,x6122,x6124),x6124)
% 0.71/0.85 [603]E(x6031,x6032)+~P11(x6033,f34(x6032,x6034,x6035),f34(x6031,x6036,x6035),x6035)+P41(f42(f42(x6033,x6032),x6031))
% 0.71/0.85 [613]P11(x6131,x6132,x6133,x6134)+~P11(x6131,f34(x6135,x6132,x6134),f34(x6136,x6133,x6134),x6134)+P41(f42(f42(x6131,x6135),x6136))
% 0.71/0.85 [615]~P12(x6151,x6153,x6156)+~P12(f48(x6151,x6154,x6156,a52),x6152,x6155)+P12(x6151,f42(f42(f42(a21,x6152),x6153),x6154),x6155)
% 0.71/0.85 [627]E(x6271,x6272)+E(x6273,x6274)+~P11(x6275,f20(x6273,f34(x6271,f19(x6276),x6276),x6276),f20(x6274,f34(x6272,f19(x6276),x6276),x6276),x6276)
% 0.71/0.85 [629]E(x6291,x6292)+~P11(x6293,f20(x6294,f34(x6291,f19(x6295),x6295),x6295),f20(x6296,f34(x6292,f19(x6295),x6295),x6295),x6295)+P41(f42(f42(x6293,x6291),x6292))
% 0.71/0.85 [630]E(x6301,x6302)+P11(x6303,x6301,x6302,x6304)+~P11(x6303,f20(x6301,f34(x6305,f19(x6304),x6304),x6304),f20(x6302,f34(x6306,f19(x6304),x6304),x6304),x6304)
% 0.71/0.85 [631]P11(x6311,x6312,x6313,x6314)+~P11(x6311,f20(x6312,f34(x6315,f19(x6314),x6314),x6314),f20(x6313,f34(x6316,f19(x6314),x6314),x6314),x6314)+P41(f42(f42(x6311,x6315),x6316))
% 0.71/0.85 [719]~P12(x7191,x7192,x7196)+~P17(f48(x7191,x7193,x7196,a52),x7194,x7195)+P17(x7191,f38(f7(f7(a21,x7192,a41,a41,f53(a1,a41)),x7193,a41,a1,a41),x7194,a41,a41),x7195)
% 0.71/0.85 [413]P8(a8,f59(x4131),a41)+E(f10(f58(x4131)),x4131)+~P41(f42(a8,x4131))+P41(f42(a8,f61(x4131)))
% 0.71/0.85 [437]P8(a8,f59(x4371),a41)+~P41(f42(a8,x4371))+P41(f42(a8,f58(x4371)))+P41(f42(a8,f61(x4371)))
% 0.71/0.85 [621]E(f10(f58(x6211)),x6211)+E(f35(a9,f3(f60(x6211)),f59(x6211),a41,a41),x6211)+~P41(f42(a8,x6211))+P41(f42(a8,f61(x6211)))
% 0.71/0.85 [623]E(f35(a9,f3(f60(x6231)),f59(x6231),a41,a41),x6231)+~P41(f42(a8,x6231))+P41(f42(a8,f61(x6231)))+P41(f42(a8,f58(x6231)))
% 0.71/0.85 [626]P8(a8,f59(x6261),a41)+E(f10(f58(x6261)),x6261)+E(f35(a9,f42(f42(a9,f10(f62(x6261))),f61(x6261)),f63(x6261),a41,a41),x6261)+~P41(f42(a8,x6261))
% 0.71/0.85 [628]P8(a8,f59(x6281),a41)+E(f35(a9,f42(f42(a9,f10(f62(x6281))),f61(x6281)),f63(x6281),a41,a41),x6281)+~P41(f42(a8,x6281))+P41(f42(a8,f58(x6281)))
% 0.71/0.85 [643]E(f10(f58(x6431)),x6431)+E(f35(a9,f3(f60(x6431)),f59(x6431),a41,a41),x6431)+E(f35(a9,f42(f42(a9,f10(f62(x6431))),f61(x6431)),f63(x6431),a41,a41),x6431)+~P41(f42(a8,x6431))
% 0.71/0.85 [644]E(f35(a9,f3(f60(x6441)),f59(x6441),a41,a41),x6441)+E(f35(a9,f42(f42(a9,f10(f62(x6441))),f61(x6441)),f63(x6441),a41,a41),x6441)+~P41(f42(a8,x6441))+P41(f42(a8,f58(x6441)))
% 0.71/0.85 [660]P8(a8,f59(x6601),a41)+E(f10(f58(x6601)),x6601)+~P41(f42(a8,x6601))+P41(f42(a8,f35(a9,f42(f42(f42(a21,f62(x6601)),f61(x6601)),f4(a1)),f63(x6601),a41,a41)))
% 0.71/0.85 [661]P8(a8,f59(x6611),a41)+~P41(f42(a8,x6611))+P41(f42(a8,f58(x6611)))+P41(f42(a8,f35(a9,f42(f42(f42(a21,f62(x6611)),f61(x6611)),f4(a1)),f63(x6611),a41,a41)))
% 0.71/0.85 [662]E(f10(f58(x6621)),x6621)+E(f35(a9,f3(f60(x6621)),f59(x6621),a41,a41),x6621)+~P41(f42(a8,x6621))+P41(f42(a8,f35(a9,f42(f42(f42(a21,f62(x6621)),f61(x6621)),f4(a1)),f63(x6621),a41,a41)))
% 0.71/0.85 [663]E(f35(a9,f3(f60(x6631)),f59(x6631),a41,a41),x6631)+~P41(f42(a8,x6631))+P41(f42(a8,f58(x6631)))+P41(f42(a8,f35(a9,f42(f42(f42(a21,f62(x6631)),f61(x6631)),f4(a1)),f63(x6631),a41,a41)))
% 0.71/0.85 [349]~P2(x3492)+~P38(x3492)+E(x3491,f4(a1))+E(f46(f4(x3492),x3491,x3492),f4(x3492))
% 0.71/0.85 [388]P9(x3881,x3882,x3883)+~P28(x3883)+E(x3881,x3882)+P9(x3882,x3881,x3883)
% 0.71/0.85 [389]P9(x3891,x3892,x3893)+~P36(x3893)+E(x3891,x3892)+P9(x3892,x3891,x3893)
% 0.71/0.85 [406]~P28(x4063)+~P15(x4061,x4062,x4063)+E(x4061,x4062)+P9(x4061,x4062,x4063)
% 0.71/0.85 [412]~P30(x4123)+~P15(x4121,x4122,x4123)+E(x4121,x4122)+P9(x4121,x4122,x4123)
% 0.71/0.85 [441]~P15(x4412,x4411,x4413)+~P15(x4411,x4412,x4413)+E(x4411,x4412)+~P30(x4413)
% 0.71/0.85 [450]P9(x4502,x4501,x4503)+~P31(x4503)+~P15(x4502,x4501,x4503)+P15(x4501,x4502,x4503)
% 0.71/0.85 [540]~P1(x5401)+~P9(f6(x5401),x5402,x5401)+P9(f6(x5401),f46(x5402,x5403,x5401),x5401)+~P9(f4(a1),x5403,a1)
% 0.71/0.85 [367]~P35(x3672)+~P18(x3672)+E(x3671,f4(x3672))+~E(f42(f42(f5(x3672),x3673),x3671),x3673)
% 0.71/0.85 [541]~P27(x5411)+~P15(f4(x5411),x5413,x5411)+~P15(f4(x5411),x5412,x5411)+P15(f4(x5411),f42(f42(f5(x5411),x5412),x5413),x5411)
% 0.71/0.85 [542]~P27(x5421)+~P15(f4(x5421),x5423,x5421)+~P9(f4(x5421),x5422,x5421)+P9(f4(x5421),f42(f42(f5(x5421),x5422),x5423),x5421)
% 0.71/0.85 [543]~P27(x5431)+~P15(f4(x5431),x5432,x5431)+~P9(f4(x5431),x5433,x5431)+P9(f4(x5431),f42(f42(f5(x5431),x5432),x5433),x5431)
% 0.71/0.85 [544]~P27(x5441)+~P9(f4(x5441),x5443,x5441)+~P9(f4(x5441),x5442,x5441)+P9(f4(x5441),f42(f42(f5(x5441),x5442),x5443),x5441)
% 0.71/0.85 [545]~P27(x5451)+~P15(x5453,f4(x5451),x5451)+~P15(x5452,f4(x5451),x5451)+P15(f42(f42(f5(x5451),x5452),x5453),f4(x5451),x5451)
% 0.71/0.85 [546]~P27(x5461)+~P15(x5463,f4(x5461),x5461)+~P9(x5462,f4(x5461),x5461)+P9(f42(f42(f5(x5461),x5462),x5463),f4(x5461),x5461)
% 0.71/0.85 [547]~P27(x5471)+~P15(x5472,f4(x5471),x5471)+~P9(x5473,f4(x5471),x5471)+P9(f42(f42(f5(x5471),x5472),x5473),f4(x5471),x5471)
% 0.71/0.85 [548]~P27(x5481)+~P9(x5483,f4(x5481),x5481)+~P9(x5482,f4(x5481),x5481)+P9(f42(f42(f5(x5481),x5482),x5483),f4(x5481),x5481)
% 0.71/0.85 [462]~P30(x4623)+~P15(x4621,x4624,x4623)+P15(x4621,x4622,x4623)+~P15(x4624,x4622,x4623)
% 0.71/0.85 [463]~P31(x4633)+~P15(x4631,x4634,x4633)+P15(x4631,x4632,x4633)+~P15(x4634,x4632,x4633)
% 0.71/0.85 [464]~P30(x4643)+~P9(x4641,x4644,x4643)+P9(x4641,x4642,x4643)+~P15(x4644,x4642,x4643)
% 0.71/0.85 [465]~P30(x4653)+~P9(x4654,x4652,x4653)+P9(x4651,x4652,x4653)+~P15(x4651,x4654,x4653)
% 0.71/0.85 [466]~P30(x4663)+~P9(x4661,x4664,x4663)+P9(x4661,x4662,x4663)+~P9(x4664,x4662,x4663)
% 0.71/0.85 [467]~P31(x4673)+~P9(x4671,x4674,x4673)+P9(x4671,x4672,x4673)+~P15(x4674,x4672,x4673)
% 0.71/0.85 [468]~P31(x4683)+~P9(x4684,x4682,x4683)+P9(x4681,x4682,x4683)+~P15(x4681,x4684,x4683)
% 0.71/0.85 [469]~P31(x4693)+~P9(x4691,x4694,x4693)+P9(x4691,x4692,x4693)+~P9(x4694,x4692,x4693)
% 0.71/0.85 [494]~P1(x4944)+E(x4941,x4942)+~P9(f6(x4944),x4943,x4944)+~E(f46(x4943,x4941,x4944),f46(x4943,x4942,x4944))
% 0.71/0.85 [524]~P28(x5243)+~P15(x5242,x5244,x5243)+~P15(x5241,x5244,x5243)+P15(f44(x5241,x5242,x5243),x5244,x5243)
% 0.71/0.85 [525]~P28(x5253)+~P9(x5252,x5254,x5253)+~P9(x5251,x5254,x5253)+P9(f44(x5251,x5252,x5253),x5254,x5253)
% 0.71/0.85 [549]~P28(x5493)+P15(x5491,x5492,x5493)+P15(x5491,x5494,x5493)+~P15(x5491,f44(x5492,x5494,x5493),x5493)
% 0.71/0.85 [550]~P28(x5503)+P9(x5501,x5502,x5503)+P9(x5501,x5504,x5503)+~P9(x5501,f44(x5502,x5504,x5503),x5503)
% 0.71/0.85 [572]~P1(x5723)+~P9(x5722,x5724,a1)+~P9(f6(x5723),x5721,x5723)+P9(f46(x5721,x5722,x5723),f46(x5721,x5724,x5723),x5723)
% 0.71/0.85 [573]~P1(x5733)+~P15(x5731,x5734,x5733)+~P15(f4(x5733),x5731,x5733)+P15(f46(x5731,x5732,x5733),f46(x5734,x5732,x5733),x5733)
% 0.71/0.85 [588]~P1(x5883)+~P9(f46(x5884,x5881,x5883),f46(x5884,x5882,x5883),x5883)+P9(x5881,x5882,a1)+~P9(f6(x5883),x5884,x5883)
% 0.71/0.85 [589]~P1(x5893)+P9(x5891,x5892,x5893)+~P15(f4(x5893),x5892,x5893)+~P9(f46(x5891,x5894,x5893),f46(x5892,x5894,x5893),x5893)
% 0.71/0.85 [438]~P35(x4383)+~P18(x4383)+E(x4381,x4382)+~E(f42(f42(f5(x4383),x4384),x4381),f42(f42(f5(x4383),x4384),x4382))
% 0.71/0.85 [527]~P1(x5272)+~P9(x5271,x5274,x5272)+~P9(f4(x5272),x5273,x5272)+P9(x5271,f42(f42(f5(x5272),x5273),x5274),x5272)
% 0.71/0.85 [565]~P22(x5651)+~P15(x5653,x5655,x5651)+~P15(x5652,x5654,x5651)+P15(f42(f42(f5(x5651),x5652),x5653),f42(f42(f5(x5651),x5654),x5655),x5651)
% 0.71/0.85 [566]~P3(x5661)+~P15(x5663,x5665,x5661)+~P9(x5662,x5664,x5661)+P9(f42(f42(f5(x5661),x5662),x5663),f42(f42(f5(x5661),x5664),x5665),x5661)
% 0.71/0.85 [567]~P3(x5671)+~P15(x5672,x5674,x5671)+~P9(x5673,x5675,x5671)+P9(f42(f42(f5(x5671),x5672),x5673),f42(f42(f5(x5671),x5674),x5675),x5671)
% 0.71/0.85 [568]~P3(x5681)+~P9(x5683,x5685,x5681)+~P9(x5682,x5684,x5681)+P9(f42(f42(f5(x5681),x5682),x5683),f42(f42(f5(x5681),x5684),x5685),x5681)
% 0.71/0.85 [580]~P26(x5802)+~P15(x5805,x5804,x5802)+~P15(x5801,f42(f42(f5(x5802),x5803),x5805),x5802)+P15(x5801,f42(f42(f5(x5802),x5803),x5804),x5802)
% 0.71/0.85 [718]~P17(x7181,x7185,x7186)+P17(x7181,x7182,f50(x7183,x7184,x7181,x7182))+~P12(x7181,f35(a9,f3(x7187),x7185,a41,a41),x7184)+~P12(x7181,f35(a9,f35(a9,f3(x7187),x7185,a41,a41),x7182,a41,a41),x7183)
% 0.71/0.85 [390]~P2(x3902)+~P40(x3902)+~P33(x3902)+~P34(x3902)+~E(f46(x3901,f4(a1),x3902),f4(x3902))
% 0.71/0.85 [497]~P27(x4972)+~P15(f4(x4972),x4971,x4972)+~P15(f4(x4972),x4973,x4972)+E(x4971,f4(x4972))+~E(f42(f42(f5(x4972),x4973),x4971),f4(x4972))
% 0.71/0.85 [498]~P27(x4982)+~P15(f4(x4982),x4983,x4982)+~P15(f4(x4982),x4981,x4982)+E(x4981,f4(x4982))+~E(f42(f42(f5(x4982),x4981),x4983),f4(x4982))
% 0.71/0.85 [583]~P1(x5833)+~P9(x5831,x5834,x5833)+~P15(f4(x5833),x5831,x5833)+P9(f46(x5831,x5832,x5833),f46(x5834,x5832,x5833),x5833)+~P9(f4(a1),x5832,a1)
% 0.71/0.85 [586]~P1(x5863)+~P9(x5864,x5862,a1)+~P9(x5861,f6(x5863),x5863)+~P9(f4(x5863),x5861,x5863)+P9(f46(x5861,x5862,x5863),f46(x5861,x5864,x5863),x5863)
% 0.71/0.85 [536]~P4(x5362)+~P5(x5362)+~P15(x5361,x5364,x5362)+~P15(f4(x5362),x5363,x5362)+P15(x5361,f42(f42(f5(x5362),x5363),x5364),x5362)
% 0.71/0.85 [537]~P4(x5372)+~P5(x5372)+~P15(x5371,x5373,x5372)+~P15(f4(x5372),x5374,x5372)+P15(x5371,f42(f42(f5(x5372),x5373),x5374),x5372)
% 0.71/0.85 [538]~P4(x5382)+~P5(x5382)+~P15(x5381,x5384,x5382)+~P9(f4(x5382),x5383,x5382)+P9(x5381,f42(f42(f5(x5382),x5383),x5384),x5382)
% 0.71/0.85 [539]~P4(x5392)+~P5(x5392)+~P9(x5391,x5394,x5392)+~P15(f4(x5392),x5393,x5392)+P9(x5391,f42(f42(f5(x5392),x5393),x5394),x5392)
% 0.71/0.85 [361]~P2(x3612)+~P40(x3612)+~P33(x3612)+~P34(x3612)+E(x3611,f4(a1))+E(f46(f4(x3612),x3611,x3612),f4(x3612))
% 0.71/0.85 [391]~P2(x3912)+~P40(x3912)+~P33(x3912)+~P34(x3912)+~E(f46(x3911,x3913,x3912),f4(x3912))+E(x3911,f4(x3912))
% 0.71/0.85 [575]~P1(x5754)+E(x5751,x5752)+~P15(f4(x5754),x5752,x5754)+~P15(f4(x5754),x5751,x5754)+~E(f46(x5751,x5753,x5754),f46(x5752,x5753,x5754))+~P9(f4(a1),x5753,a1)
% 0.71/0.85 %EqnAxiom
% 0.71/0.85 [1]E(x11,x11)
% 0.71/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.71/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.71/0.85 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.71/0.85 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 0.71/0.85 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.71/0.85 [7]~E(x71,x72)+E(f16(x71,x73),f16(x72,x73))
% 0.71/0.85 [8]~E(x81,x82)+E(f16(x83,x81),f16(x83,x82))
% 0.71/0.85 [9]~E(x91,x92)+E(f42(x91,x93),f42(x92,x93))
% 0.71/0.85 [10]~E(x101,x102)+E(f42(x103,x101),f42(x103,x102))
% 0.71/0.85 [11]~E(x111,x112)+E(f6(x111),f6(x112))
% 0.71/0.85 [12]~E(x121,x122)+E(f13(x121,x123,x124,x125,x126),f13(x122,x123,x124,x125,x126))
% 0.71/0.85 [13]~E(x131,x132)+E(f13(x133,x131,x134,x135,x136),f13(x133,x132,x134,x135,x136))
% 0.71/0.85 [14]~E(x141,x142)+E(f13(x143,x144,x141,x145,x146),f13(x143,x144,x142,x145,x146))
% 0.71/0.85 [15]~E(x151,x152)+E(f13(x153,x154,x155,x151,x156),f13(x153,x154,x155,x152,x156))
% 0.71/0.85 [16]~E(x161,x162)+E(f13(x163,x164,x165,x166,x161),f13(x163,x164,x165,x166,x162))
% 0.71/0.85 [17]~E(x171,x172)+E(f44(x171,x173,x174),f44(x172,x173,x174))
% 0.71/0.85 [18]~E(x181,x182)+E(f44(x183,x181,x184),f44(x183,x182,x184))
% 0.71/0.85 [19]~E(x191,x192)+E(f44(x193,x194,x191),f44(x193,x194,x192))
% 0.71/0.85 [20]~E(x201,x202)+E(f35(x201,x203,x204,x205,x206),f35(x202,x203,x204,x205,x206))
% 0.71/0.85 [21]~E(x211,x212)+E(f35(x213,x211,x214,x215,x216),f35(x213,x212,x214,x215,x216))
% 0.71/0.85 [22]~E(x221,x222)+E(f35(x223,x224,x221,x225,x226),f35(x223,x224,x222,x225,x226))
% 0.71/0.85 [23]~E(x231,x232)+E(f35(x233,x234,x235,x231,x236),f35(x233,x234,x235,x232,x236))
% 0.71/0.85 [24]~E(x241,x242)+E(f35(x243,x244,x245,x246,x241),f35(x243,x244,x245,x246,x242))
% 0.71/0.85 [25]~E(x251,x252)+E(f31(x251),f31(x252))
% 0.71/0.85 [26]~E(x261,x262)+E(f30(x261),f30(x262))
% 0.71/0.85 [27]~E(x271,x272)+E(f5(x271),f5(x272))
% 0.71/0.85 [28]~E(x281,x282)+E(f29(x281),f29(x282))
% 0.71/0.85 [29]~E(x291,x292)+E(f34(x291,x293,x294),f34(x292,x293,x294))
% 0.71/0.85 [30]~E(x301,x302)+E(f34(x303,x301,x304),f34(x303,x302,x304))
% 0.71/0.85 [31]~E(x311,x312)+E(f34(x313,x314,x311),f34(x313,x314,x312))
% 0.71/0.85 [32]~E(x321,x322)+E(f27(x321),f27(x322))
% 0.71/0.85 [33]~E(x331,x332)+E(f43(x331,x333),f43(x332,x333))
% 0.71/0.85 [34]~E(x341,x342)+E(f43(x343,x341),f43(x343,x342))
% 0.71/0.85 [35]~E(x351,x352)+E(f17(x351,x353,x354),f17(x352,x353,x354))
% 0.71/0.85 [36]~E(x361,x362)+E(f17(x363,x361,x364),f17(x363,x362,x364))
% 0.71/0.85 [37]~E(x371,x372)+E(f17(x373,x374,x371),f17(x373,x374,x372))
% 0.71/0.85 [38]~E(x381,x382)+E(f26(x381),f26(x382))
% 0.71/0.85 [39]~E(x391,x392)+E(f25(x391),f25(x392))
% 0.71/0.85 [40]~E(x401,x402)+E(f19(x401),f19(x402))
% 0.71/0.85 [41]~E(x411,x412)+E(f10(x411),f10(x412))
% 0.71/0.85 [42]~E(x421,x422)+E(f20(x421,x423,x424),f20(x422,x423,x424))
% 0.71/0.85 [43]~E(x431,x432)+E(f20(x433,x431,x434),f20(x433,x432,x434))
% 0.71/0.85 [44]~E(x441,x442)+E(f20(x443,x444,x441),f20(x443,x444,x442))
% 0.71/0.85 [45]~E(x451,x452)+E(f38(x451,x453,x454,x455),f38(x452,x453,x454,x455))
% 0.71/0.85 [46]~E(x461,x462)+E(f38(x463,x461,x464,x465),f38(x463,x462,x464,x465))
% 0.71/0.85 [47]~E(x471,x472)+E(f38(x473,x474,x471,x475),f38(x473,x474,x472,x475))
% 0.71/0.85 [48]~E(x481,x482)+E(f38(x483,x484,x485,x481),f38(x483,x484,x485,x482))
% 0.71/0.85 [49]~E(x491,x492)+E(f45(x491,x493,x494),f45(x492,x493,x494))
% 0.71/0.85 [50]~E(x501,x502)+E(f45(x503,x501,x504),f45(x503,x502,x504))
% 0.71/0.85 [51]~E(x511,x512)+E(f45(x513,x514,x511),f45(x513,x514,x512))
% 0.71/0.85 [52]~E(x521,x522)+E(f36(x521,x523,x524,x525,x526),f36(x522,x523,x524,x525,x526))
% 0.71/0.85 [53]~E(x531,x532)+E(f36(x533,x531,x534,x535,x536),f36(x533,x532,x534,x535,x536))
% 0.71/0.85 [54]~E(x541,x542)+E(f36(x543,x544,x541,x545,x546),f36(x543,x544,x542,x545,x546))
% 0.71/0.85 [55]~E(x551,x552)+E(f36(x553,x554,x555,x551,x556),f36(x553,x554,x555,x552,x556))
% 0.71/0.85 [56]~E(x561,x562)+E(f36(x563,x564,x565,x566,x561),f36(x563,x564,x565,x566,x562))
% 0.71/0.85 [57]~E(x571,x572)+E(f46(x571,x573,x574),f46(x572,x573,x574))
% 0.71/0.85 [58]~E(x581,x582)+E(f46(x583,x581,x584),f46(x583,x582,x584))
% 0.71/0.85 [59]~E(x591,x592)+E(f46(x593,x594,x591),f46(x593,x594,x592))
% 0.71/0.85 [60]~E(x601,x602)+E(f47(x601),f47(x602))
% 0.71/0.85 [61]~E(x611,x612)+E(f40(x611,x613),f40(x612,x613))
% 0.71/0.85 [62]~E(x621,x622)+E(f40(x623,x621),f40(x623,x622))
% 0.71/0.85 [63]~E(x631,x632)+E(f14(x631,x633,x634,x635,x636),f14(x632,x633,x634,x635,x636))
% 0.71/0.85 [64]~E(x641,x642)+E(f14(x643,x641,x644,x645,x646),f14(x643,x642,x644,x645,x646))
% 0.71/0.85 [65]~E(x651,x652)+E(f14(x653,x654,x651,x655,x656),f14(x653,x654,x652,x655,x656))
% 0.71/0.85 [66]~E(x661,x662)+E(f14(x663,x664,x665,x661,x666),f14(x663,x664,x665,x662,x666))
% 0.71/0.85 [67]~E(x671,x672)+E(f14(x673,x674,x675,x676,x671),f14(x673,x674,x675,x676,x672))
% 0.71/0.85 [68]~E(x681,x682)+E(f58(x681),f58(x682))
% 0.71/0.85 [69]~E(x691,x692)+E(f37(x691,x693,x694),f37(x692,x693,x694))
% 0.71/0.85 [70]~E(x701,x702)+E(f37(x703,x701,x704),f37(x703,x702,x704))
% 0.71/0.85 [71]~E(x711,x712)+E(f37(x713,x714,x711),f37(x713,x714,x712))
% 0.71/0.85 [72]~E(x721,x722)+E(f59(x721),f59(x722))
% 0.71/0.85 [73]~E(x731,x732)+E(f53(x731,x733),f53(x732,x733))
% 0.71/0.85 [74]~E(x741,x742)+E(f53(x743,x741),f53(x743,x742))
% 0.71/0.85 [75]~E(x751,x752)+E(f62(x751),f62(x752))
% 0.71/0.85 [76]~E(x761,x762)+E(f7(x761,x763,x764,x765,x766),f7(x762,x763,x764,x765,x766))
% 0.71/0.85 [77]~E(x771,x772)+E(f7(x773,x771,x774,x775,x776),f7(x773,x772,x774,x775,x776))
% 0.71/0.85 [78]~E(x781,x782)+E(f7(x783,x784,x781,x785,x786),f7(x783,x784,x782,x785,x786))
% 0.71/0.85 [79]~E(x791,x792)+E(f7(x793,x794,x795,x791,x796),f7(x793,x794,x795,x792,x796))
% 0.71/0.85 [80]~E(x801,x802)+E(f7(x803,x804,x805,x806,x801),f7(x803,x804,x805,x806,x802))
% 0.71/0.85 [81]~E(x811,x812)+E(f63(x811),f63(x812))
% 0.71/0.85 [82]~E(x821,x822)+E(f33(x821,x823,x824),f33(x822,x823,x824))
% 0.71/0.85 [83]~E(x831,x832)+E(f33(x833,x831,x834),f33(x833,x832,x834))
% 0.71/0.85 [84]~E(x841,x842)+E(f33(x843,x844,x841),f33(x843,x844,x842))
% 0.71/0.85 [85]~E(x851,x852)+E(f60(x851),f60(x852))
% 0.71/0.85 [86]~E(x861,x862)+E(f61(x861),f61(x862))
% 0.71/0.85 [87]~E(x871,x872)+E(f39(x871,x873),f39(x872,x873))
% 0.71/0.85 [88]~E(x881,x882)+E(f39(x883,x881),f39(x883,x882))
% 0.71/0.85 [89]~E(x891,x892)+E(f48(x891,x893,x894,x895),f48(x892,x893,x894,x895))
% 0.71/0.85 [90]~E(x901,x902)+E(f48(x903,x901,x904,x905),f48(x903,x902,x904,x905))
% 0.71/0.85 [91]~E(x911,x912)+E(f48(x913,x914,x911,x915),f48(x913,x914,x912,x915))
% 0.71/0.85 [92]~E(x921,x922)+E(f48(x923,x924,x925,x921),f48(x923,x924,x925,x922))
% 0.71/0.85 [93]~E(x931,x932)+E(f32(x931),f32(x932))
% 0.71/0.85 [94]~E(x941,x942)+E(f50(x941,x943,x944,x945),f50(x942,x943,x944,x945))
% 0.71/0.85 [95]~E(x951,x952)+E(f50(x953,x951,x954,x955),f50(x953,x952,x954,x955))
% 0.71/0.85 [96]~E(x961,x962)+E(f50(x963,x964,x961,x965),f50(x963,x964,x962,x965))
% 0.71/0.85 [97]~E(x971,x972)+E(f50(x973,x974,x975,x971),f50(x973,x974,x975,x972))
% 0.71/0.85 [98]~E(x981,x982)+E(f23(x981),f23(x982))
% 0.71/0.85 [99]~E(x991,x992)+E(f22(x991),f22(x992))
% 0.71/0.85 [100]~E(x1001,x1002)+E(f49(x1001,x1003,x1004,x1005),f49(x1002,x1003,x1004,x1005))
% 0.71/0.85 [101]~E(x1011,x1012)+E(f49(x1013,x1011,x1014,x1015),f49(x1013,x1012,x1014,x1015))
% 0.71/0.85 [102]~E(x1021,x1022)+E(f49(x1023,x1024,x1021,x1025),f49(x1023,x1024,x1022,x1025))
% 0.71/0.85 [103]~E(x1031,x1032)+E(f49(x1033,x1034,x1035,x1031),f49(x1033,x1034,x1035,x1032))
% 0.71/0.85 [104]~E(x1041,x1042)+E(f24(x1041,x1043,x1044,x1045),f24(x1042,x1043,x1044,x1045))
% 0.71/0.85 [105]~E(x1051,x1052)+E(f24(x1053,x1051,x1054,x1055),f24(x1053,x1052,x1054,x1055))
% 0.71/0.85 [106]~E(x1061,x1062)+E(f24(x1063,x1064,x1061,x1065),f24(x1063,x1064,x1062,x1065))
% 0.71/0.85 [107]~E(x1071,x1072)+E(f24(x1073,x1074,x1075,x1071),f24(x1073,x1074,x1075,x1072))
% 0.71/0.85 [108]~E(x1081,x1082)+E(f28(x1081),f28(x1082))
% 0.71/0.85 [109]~P1(x1091)+P1(x1092)+~E(x1091,x1092)
% 0.71/0.85 [110]~P2(x1101)+P2(x1102)+~E(x1101,x1102)
% 0.71/0.85 [111]~P32(x1111)+P32(x1112)+~E(x1111,x1112)
% 0.71/0.85 [112]~P3(x1121)+P3(x1122)+~E(x1121,x1122)
% 0.71/0.85 [113]~P27(x1131)+P27(x1132)+~E(x1131,x1132)
% 0.71/0.85 [114]~P4(x1141)+P4(x1142)+~E(x1141,x1142)
% 0.71/0.85 [115]~P5(x1151)+P5(x1152)+~E(x1151,x1152)
% 0.71/0.85 [116]~P28(x1161)+P28(x1162)+~E(x1161,x1162)
% 0.71/0.85 [117]~P30(x1171)+P30(x1172)+~E(x1171,x1172)
% 0.71/0.85 [118]~P41(x1181)+P41(x1182)+~E(x1181,x1182)
% 0.71/0.85 [119]~P31(x1191)+P31(x1192)+~E(x1191,x1192)
% 0.71/0.85 [120]P10(x1202,x1203,x1204,x1205,x1206,x1207)+~E(x1201,x1202)+~P10(x1201,x1203,x1204,x1205,x1206,x1207)
% 0.71/0.85 [121]P10(x1213,x1212,x1214,x1215,x1216,x1217)+~E(x1211,x1212)+~P10(x1213,x1211,x1214,x1215,x1216,x1217)
% 0.71/0.85 [122]P10(x1223,x1224,x1222,x1225,x1226,x1227)+~E(x1221,x1222)+~P10(x1223,x1224,x1221,x1225,x1226,x1227)
% 0.71/0.85 [123]P10(x1233,x1234,x1235,x1232,x1236,x1237)+~E(x1231,x1232)+~P10(x1233,x1234,x1235,x1231,x1236,x1237)
% 0.71/0.85 [124]P10(x1243,x1244,x1245,x1246,x1242,x1247)+~E(x1241,x1242)+~P10(x1243,x1244,x1245,x1246,x1241,x1247)
% 0.71/0.85 [125]P10(x1253,x1254,x1255,x1256,x1257,x1252)+~E(x1251,x1252)+~P10(x1253,x1254,x1255,x1256,x1257,x1251)
% 0.71/0.85 [126]~P22(x1261)+P22(x1262)+~E(x1261,x1262)
% 0.71/0.85 [127]~P23(x1271)+P23(x1272)+~E(x1271,x1272)
% 0.71/0.85 [128]~P37(x1281)+P37(x1282)+~E(x1281,x1282)
% 0.71/0.85 [129]~P40(x1291)+P40(x1292)+~E(x1291,x1292)
% 0.71/0.85 [130]~P38(x1301)+P38(x1302)+~E(x1301,x1302)
% 0.71/0.85 [131]~P24(x1311)+P24(x1312)+~E(x1311,x1312)
% 0.71/0.85 [132]~P6(x1321)+P6(x1322)+~E(x1321,x1322)
% 0.71/0.85 [133]~P7(x1331)+P7(x1332)+~E(x1331,x1332)
% 0.71/0.85 [134]~P20(x1341)+P20(x1342)+~E(x1341,x1342)
% 0.71/0.85 [135]~P21(x1351)+P21(x1352)+~E(x1351,x1352)
% 0.71/0.85 [136]~P33(x1361)+P33(x1362)+~E(x1361,x1362)
% 0.71/0.85 [137]~P34(x1371)+P34(x1372)+~E(x1371,x1372)
% 0.71/0.85 [138]~P29(x1381)+P29(x1382)+~E(x1381,x1382)
% 0.71/0.85 [139]P12(x1392,x1393,x1394)+~E(x1391,x1392)+~P12(x1391,x1393,x1394)
% 0.71/0.85 [140]P12(x1403,x1402,x1404)+~E(x1401,x1402)+~P12(x1403,x1401,x1404)
% 0.71/0.85 [141]P12(x1413,x1414,x1412)+~E(x1411,x1412)+~P12(x1413,x1414,x1411)
% 0.71/0.85 [142]P11(x1422,x1423,x1424,x1425)+~E(x1421,x1422)+~P11(x1421,x1423,x1424,x1425)
% 0.71/0.85 [143]P11(x1433,x1432,x1434,x1435)+~E(x1431,x1432)+~P11(x1433,x1431,x1434,x1435)
% 0.71/0.85 [144]P11(x1443,x1444,x1442,x1445)+~E(x1441,x1442)+~P11(x1443,x1444,x1441,x1445)
% 0.71/0.85 [145]P11(x1453,x1454,x1455,x1452)+~E(x1451,x1452)+~P11(x1453,x1454,x1455,x1451)
% 0.71/0.85 [146]P8(x1462,x1463,x1464)+~E(x1461,x1462)+~P8(x1461,x1463,x1464)
% 0.71/0.85 [147]P8(x1473,x1472,x1474)+~E(x1471,x1472)+~P8(x1473,x1471,x1474)
% 0.71/0.85 [148]P8(x1483,x1484,x1482)+~E(x1481,x1482)+~P8(x1483,x1484,x1481)
% 0.71/0.85 [149]P15(x1492,x1493,x1494)+~E(x1491,x1492)+~P15(x1491,x1493,x1494)
% 0.71/0.85 [150]P15(x1503,x1502,x1504)+~E(x1501,x1502)+~P15(x1503,x1501,x1504)
% 0.71/0.85 [151]P15(x1513,x1514,x1512)+~E(x1511,x1512)+~P15(x1513,x1514,x1511)
% 0.71/0.85 [152]P9(x1522,x1523,x1524)+~E(x1521,x1522)+~P9(x1521,x1523,x1524)
% 0.71/0.85 [153]P9(x1533,x1532,x1534)+~E(x1531,x1532)+~P9(x1533,x1531,x1534)
% 0.71/0.85 [154]P9(x1543,x1544,x1542)+~E(x1541,x1542)+~P9(x1543,x1544,x1541)
% 0.71/0.85 [155]P16(x1552,x1553,x1554)+~E(x1551,x1552)+~P16(x1551,x1553,x1554)
% 0.71/0.85 [156]P16(x1563,x1562,x1564)+~E(x1561,x1562)+~P16(x1563,x1561,x1564)
% 0.71/0.85 [157]P16(x1573,x1574,x1572)+~E(x1571,x1572)+~P16(x1573,x1574,x1571)
% 0.71/0.85 [158]~P18(x1581)+P18(x1582)+~E(x1581,x1582)
% 0.71/0.85 [159]P13(x1592,x1593)+~E(x1591,x1592)+~P13(x1591,x1593)
% 0.71/0.85 [160]P13(x1603,x1602)+~E(x1601,x1602)+~P13(x1603,x1601)
% 0.71/0.85 [161]~P35(x1611)+P35(x1612)+~E(x1611,x1612)
% 0.71/0.85 [162]~P39(x1621)+P39(x1622)+~E(x1621,x1622)
% 0.71/0.85 [163]~P25(x1631)+P25(x1632)+~E(x1631,x1632)
% 0.71/0.85 [164]~P19(x1641)+P19(x1642)+~E(x1641,x1642)
% 0.71/0.85 [165]P14(x1652,x1653,x1654)+~E(x1651,x1652)+~P14(x1651,x1653,x1654)
% 0.71/0.85 [166]P14(x1663,x1662,x1664)+~E(x1661,x1662)+~P14(x1663,x1661,x1664)
% 0.71/0.85 [167]P14(x1673,x1674,x1672)+~E(x1671,x1672)+~P14(x1673,x1674,x1671)
% 0.71/0.85 [168]~P36(x1681)+P36(x1682)+~E(x1681,x1682)
% 0.71/0.85 [169]P17(x1692,x1693,x1694)+~E(x1691,x1692)+~P17(x1691,x1693,x1694)
% 0.71/0.85 [170]P17(x1703,x1702,x1704)+~E(x1701,x1702)+~P17(x1703,x1701,x1704)
% 0.71/0.85 [171]P17(x1713,x1714,x1712)+~E(x1711,x1712)+~P17(x1713,x1714,x1711)
% 0.71/0.85 [172]~P26(x1721)+P26(x1722)+~E(x1721,x1722)
% 0.71/0.85
% 0.71/0.85 %-------------------------------------------
% 0.71/0.85 cnf(721,plain,
% 0.71/0.85 ($false),
% 0.71/0.85 inference(scs_inference,[],[311,286]),
% 0.71/0.85 ['proof']).
% 0.71/0.85 % SZS output end Proof
% 0.71/0.85 % Total time :0.030000s
%------------------------------------------------------------------------------