TSTP Solution File: LCL814-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL814-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:51:08 EDT 2023
% Result : Unsatisfiable 0.82s 0.91s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL814-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n027.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 05:15:03 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.20/0.87 %-------------------------------------------
% 0.20/0.87 % File :CSE---1.6
% 0.20/0.87 % Problem :theBenchmark
% 0.20/0.87 % Transform :cnf
% 0.20/0.87 % Format :tptp:raw
% 0.20/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.87
% 0.20/0.87 % Result :Theorem 0.040000s
% 0.20/0.87 % Output :CNFRefutation 0.040000s
% 0.20/0.87 %-------------------------------------------
% 0.20/0.87 %------------------------------------------------------------------------------
% 0.20/0.87 % File : LCL814-1 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.87 % Domain : Logic Calculi
% 0.20/0.87 % Problem : Strong normalization of typed lambda calculus 178_15
% 0.20/0.87 % Version : Especial.
% 0.20/0.87 % English :
% 0.20/0.87
% 0.20/0.87 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.20/0.87 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.20/0.87 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.20/0.87 % Source : [Nip10]
% 0.20/0.87 % Names : StrongNorm-178_15 [Nip10]
% 0.20/0.87
% 0.20/0.87 % Status : Unsatisfiable
% 0.20/0.87 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.17 v7.2.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.45 v5.3.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0
% 0.20/0.87 % Syntax : Number of clauses : 682 ( 243 unt; 65 nHn; 380 RR)
% 0.20/0.87 % Number of literals : 1379 ( 512 equ; 671 neg)
% 0.20/0.87 % Maximal clause size : 6 ( 2 avg)
% 0.20/0.87 % Maximal term depth : 8 ( 2 avg)
% 0.20/0.87 % Number of predicates : 37 ( 36 usr; 0 prp; 1-4 aty)
% 0.20/0.87 % Number of functors : 64 ( 64 usr; 22 con; 0-6 aty)
% 0.20/0.87 % Number of variables : 1964 ( 245 sgn)
% 0.20/0.87 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.87
% 0.20/0.87 % Comments :
% 0.20/0.87 %------------------------------------------------------------------------------
% 0.20/0.87 cnf(cls_one__neq__zero_0,axiom,
% 0.20/0.87 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.20/0.87 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_not__one__less__zero_0,axiom,
% 0.20/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.20/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_nth__list__update__eq_0,axiom,
% 0.20/0.87 ( c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,T_a) = V_x
% 0.20/0.87 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_nth__list__update_0,axiom,
% 0.20/0.87 ( ~ c_HOL_Oord__class_Oless(V_x,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.20/0.87 | c_List_Onth(c_List_Olist__update(V_xs,V_x,V_xa,T_a),V_x,T_a) = V_xa ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_even__less__0__iff_1,axiom,
% 0.20/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.20/0.87 | 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)
% 0.20/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_even__less__0__iff_0,axiom,
% 0.20/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.20/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.20/0.87 | ~ 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) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.20/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.20/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.20/0.87 | ~ 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) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.20/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.20/0.87 | 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)
% 0.20/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_less__Suc0_1,axiom,
% 0.20/0.87 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_mod__add__cong_0,axiom,
% 0.20/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.20/0.87 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.20/0.87 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.20/0.87 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c,T_a) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_not__step1__Nil_0,axiom,
% 0.20/0.87 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_not__Nil__step1_0,axiom,
% 0.20/0.87 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_r__into__rtranclp_0,axiom,
% 0.20/0.87 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.20/0.87 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_le__mod__geq_0,axiom,
% 0.20/0.87 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.20/0.87 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.20/0.87
% 0.20/0.87 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.20/0.87 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.20/0.88
% 0.20/0.88 cnf(cls_One__nat__def_0,axiom,
% 0.20/0.88 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.20/0.88
% 0.20/0.88 cnf(cls_nat_Oinject_0,axiom,
% 0.20/0.88 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.80/0.88 | V_nat = V_nat_H ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Suc__inject_0,axiom,
% 0.80/0.88 ( c_Suc(V_x) != c_Suc(V_y)
% 0.80/0.88 | V_x = V_y ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_double__eq__0__iff_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.80/0.88 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.80/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.80/0.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nth__append_1,axiom,
% 0.80/0.88 ( c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),V_n,T_a) = c_List_Onth(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_minus__nat_Odiff__0_0,axiom,
% 0.80/0.88 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_diff__self__eq__0_0,axiom,
% 0.80/0.88 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.88 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_diff__self_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_diff__0__right_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_right__minus__eq_1,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.80/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.80/0.88 | ~ class_Int_Onumber__ring(T_a)
% 0.80/0.88 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.80/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_diff__less__mono2_0,axiom,
% 0.80/0.88 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_foldl__assoc_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.80/0.88 | 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)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__le__divisor_0,axiom,
% 0.80/0.88 ( c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.80/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__self_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__by__0_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Suc__diff__le_0,axiom,
% 0.80/0.88 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat))
% 0.80/0.88 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nth__append_0,axiom,
% 0.80/0.88 ( c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),V_n,T_a) = c_List_Onth(V_xs,V_n,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nth__Cons_H_1,axiom,
% 0.80/0.88 ( c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),V_n,T_a) = c_List_Onth(V_xs,c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),T_a)
% 0.80/0.88 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_diff__Suc__1_0,axiom,
% 0.80/0.88 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_less__eq__Suc__le_1,axiom,
% 0.80/0.88 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.80/0.88 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_less__eq__Suc__le_0,axiom,
% 0.80/0.88 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Suc__le__eq_0,axiom,
% 0.80/0.88 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.80/0.88 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Suc__leI_0,axiom,
% 0.80/0.88 ( c_lessequals(c_Suc(V_m),V_n,tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_add__increasing2_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.88 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.80/0.88 | ~ c_lessequals(V_b,V_a,T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_add__increasing_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.88 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.80/0.88 | ~ c_lessequals(V_b,V_c,T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_rev__update_0,axiom,
% 0.80/0.88 ( c_List_Orev(c_List_Olist__update(V_xs,V_k,V_y,T_a),T_a) = c_List_Olist__update(c_List_Orev(V_xs,T_a),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_k,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_y,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_k,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.80/0.88 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.80/0.88 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nth__Cons__number__of_0,axiom,
% 0.80/0.88 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.88 | c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),T_a) = V_x ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_rtranclp__trans_0,axiom,
% 0.80/0.88 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.80/0.88 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.80/0.88 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.80/0.88 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.80/0.88 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_diff__is__0__eq_1,axiom,
% 0.80/0.88 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.88 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_diff__is__0__eq_0,axiom,
% 0.80/0.88 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.88 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_add__strict__increasing_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.80/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.80/0.88 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.80/0.88 | ~ c_lessequals(V_b,V_c,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.80/0.88 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.80/0.88 ( V_x = V_y
% 0.80/0.88 | V_xs = V_ys
% 0.80/0.88 | ~ 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_list__update__same__conv_1,axiom,
% 0.80/0.88 ( ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.80/0.88 | c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a) = V_xs ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__mod__trivial_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_nth__drop_H_0,axiom,
% 0.80/0.88 ( c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a) = c_List_Odrop(V_i,V_xs,T_a)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__0_0,axiom,
% 0.80/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.80/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_less__Suc0_0,axiom,
% 0.80/0.88 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.80/0.88 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.80/0.88 ( 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)))
% 0.80/0.88 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_diff__add__cancel_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_mod__Suc_1,axiom,
% 0.80/0.88 ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat))
% 0.80/0.88 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_append__step1I_1,axiom,
% 0.80/0.88 ( 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)
% 0.80/0.88 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(cls_append__step1I_0,axiom,
% 0.82/0.88 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.82/0.88 | 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) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(cls_add__mono_0,axiom,
% 0.82/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.82/0.88 | 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)
% 0.82/0.88 | ~ c_lessequals(V_c,V_d,T_a)
% 0.82/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.82/0.88
% 0.82/0.88 cnf(cls_less__Suc__eq__le_1,axiom,
% 0.82/0.89 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.82/0.89 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__Suc__eq__le_0,axiom,
% 0.82/0.89 ( c_lessequals(V_m,V_n,tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_le__less__Suc__eq_1,axiom,
% 0.82/0.89 ( ~ c_lessequals(V_x,V_x,tc_nat)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_double__eq__0__iff_1,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.82/0.89 | 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) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.89 | 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) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_diff__less__Suc_0,axiom,
% 0.82/0.89 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_mod__add__eq_0,axiom,
% 0.82/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.82/0.89 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.82/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.82/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_order__less__trans_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_xt1_I10_J_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nth__take_0,axiom,
% 0.82/0.89 ( c_List_Onth(c_List_Otake(V_n,V_xs,T_a),V_i,T_a) = c_List_Onth(V_xs,V_i,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.82/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.89 | 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) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__cancel__21_1,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.82/0.89 | 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)) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.82/0.89 | 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)) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.82/0.89 | 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)) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.82/0.89 | 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)) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.82/0.89 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.82/0.89 | V_dB = V_dB_H ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_distinct__conv__nth_0,axiom,
% 0.82/0.89 ( c_List_Onth(V_xs,V_i,T_a) != c_List_Onth(V_xs,V_j,T_a)
% 0.82/0.89 | V_i = V_j
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.82/0.89 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nth__eq__iff__index__eq_0,axiom,
% 0.82/0.89 ( c_List_Onth(V_xs,V_i,T_a) != c_List_Onth(V_xs,V_j,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_j,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.82/0.89 | ~ c_List_Odistinct(V_xs,T_a)
% 0.82/0.89 | V_i = V_j ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_diff__Suc__Suc_0,axiom,
% 0.82/0.89 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__nonpos__neg_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.89 | 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)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.89 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__neg__nonpos_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.89 | 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)
% 0.82/0.89 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__SucE_0,axiom,
% 0.82/0.89 ( V_m = V_n
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__antisym_0,axiom,
% 0.82/0.89 ( V_m = V_n
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.82/0.89 ( V_n = V_m
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.82/0.89 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.82/0.89 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_zero__le__one_0,axiom,
% 0.82/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.82/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_mod__1_0,axiom,
% 0.82/0.89 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__imp__diff__less_0,axiom,
% 0.82/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nth__replicate_0,axiom,
% 0.82/0.89 ( c_List_Onth(c_List_Oreplicate(V_n,V_x,T_a),V_i,T_a) = V_x
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_mod__by__1_0,axiom,
% 0.82/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.82/0.89 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_mod__if_0,axiom,
% 0.82/0.89 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__le__not__le_2,axiom,
% 0.82/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.89 | c_lessequals(V_y,V_x,T_a)
% 0.82/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nat__less__le_1,axiom,
% 0.82/0.89 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__not__refl_0,axiom,
% 0.82/0.89 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_order__less__le_1,axiom,
% 0.82/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_linorder__neq__iff_1,axiom,
% 0.82/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_order__less__irrefl_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_le__0__eq_0,axiom,
% 0.82/0.89 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.82/0.89 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__pos__pos_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.89 | 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)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.82/0.89 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.82/0.89 | V_xs = V_ys
% 0.82/0.89 | ~ 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) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_not__one__le__zero_0,axiom,
% 0.82/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.82/0.89 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.82/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.89 | V_x = V_y ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.89 | V_x = V_y
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_le__antisym_0,axiom,
% 0.82/0.89 ( V_m = V_n
% 0.82/0.89 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.82/0.89 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nat__neq__iff_0,axiom,
% 0.82/0.89 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.89 | V_m = V_n ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nat__less__cases_0,axiom,
% 0.82/0.89 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.82/0.89 | V_m = V_n
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_diffs0__imp__equal_0,axiom,
% 0.82/0.89 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.82/0.89 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.82/0.89 | V_m = V_n ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.82/0.89 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.82/0.89 | V_x = V_y ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_order__eq__iff_2,axiom,
% 0.82/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.89 | V_x = V_y
% 0.82/0.89 | ~ c_lessequals(V_y,V_x,T_a)
% 0.82/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_linorder__neqE_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.89 | V_x = V_y ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_order__antisym_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.89 | V_x = V_y
% 0.82/0.89 | ~ c_lessequals(V_y,V_x,T_a)
% 0.82/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_order__antisym__conv_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.89 | V_x = V_y
% 0.82/0.89 | ~ c_lessequals(V_x,V_y,T_a)
% 0.82/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_linorder__less__linear_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.82/0.89 | V_x = V_y
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.89 | V_x = V_y
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_mod__diff__cong_0,axiom,
% 0.82/0.89 ( ~ class_Divides_Oring__div(T_a)
% 0.82/0.89 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.82/0.89 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.82/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.82/0.89 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.89 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_Suc__diff__1_0,axiom,
% 0.82/0.89 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_Suc__pred_H_0,axiom,
% 0.82/0.89 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__strict__mono_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.82/0.89 | 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)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 0.82/0.89 ( c_lessequals(V_x,V_y,tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nat__less__le_0,axiom,
% 0.82/0.89 ( c_lessequals(V_m,V_n,tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_order__le__less_1,axiom,
% 0.82/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.89 | c_lessequals(V_x,V_y,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_order__less__imp__le_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.89 | c_lessequals(V_x,V_y,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nth__map_0,axiom,
% 0.82/0.89 ( c_List_Onth(c_List_Omap(V_f,V_xs,T_a,T_b),V_n,T_b) = hAPP(V_f,c_List_Onth(V_xs,V_n,T_a))
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.82/0.89 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.82/0.89 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_lessI_0,axiom,
% 0.82/0.89 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__Suc__eq_2,axiom,
% 0.82/0.89 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__trans__Suc_0,axiom,
% 0.82/0.89 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__le__cancel__right_1,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.89 | 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)
% 0.82/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__le__cancel__right_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.82/0.89 | ~ 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) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__le__cancel__left_1,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.89 | 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)
% 0.82/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__le__cancel__left_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.82/0.89 | ~ 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) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__right__mono_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.82/0.89 | 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)
% 0.82/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_add__left__mono_0,axiom,
% 0.82/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.82/0.89 | 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)
% 0.82/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_take__Cons__number__of_1,axiom,
% 0.82/0.89 ( c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a)
% 0.82/0.89 | c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_zero__less__one_0,axiom,
% 0.82/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_shift__lt_0,axiom,
% 0.82/0.89 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_less__add__one_0,axiom,
% 0.82/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.82/0.89 | 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) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_le__number__of__eq__not__less_0,axiom,
% 0.82/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.89 | ~ class_Int_Onumber(T_a)
% 0.82/0.89 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 0.82/0.89 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_le__number__of__eq__not__less_1,axiom,
% 0.82/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.89 | ~ class_Int_Onumber(T_a)
% 0.82/0.89 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.82/0.89 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_gr0I_0,axiom,
% 0.82/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.82/0.89 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.89
% 0.82/0.89 cnf(cls_drop__Cons__number__of_1,axiom,
% 0.82/0.89 ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a)
% 0.82/0.90 | c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_subst__gt_0,axiom,
% 0.82/0.90 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_subst__Var_0,axiom,
% 0.82/0.90 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_neq0__conv_1,axiom,
% 0.82/0.90 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__add__self2_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__add__self1_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_shift__gt_0,axiom,
% 0.82/0.90 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__leD_0,axiom,
% 0.82/0.90 ( c_lessequals(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__SucI_0,axiom,
% 0.82/0.90 ( c_lessequals(V_m,c_Suc(V_n),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__n__not__le__n_0,axiom,
% 0.82/0.90 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_list__update__id_0,axiom,
% 0.82/0.90 c_List_Olist__update(V_xs,V_i,c_List_Onth(V_xs,V_i,T_a),T_a) = V_xs ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_less__diff__iff_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_less__diff__iff_1,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_pos__add__strict_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nth__Cons__Suc_0,axiom,
% 0.82/0.90 c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_n),T_a) = c_List_Onth(V_xs,V_n,T_a) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.82/0.90 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.82/0.90 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.90 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__if_1,axiom,
% 0.82/0.90 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__0__eq_1,axiom,
% 0.82/0.90 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__n__not__n_0,axiom,
% 0.82/0.90 c_Suc(V_n) != V_n ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_n__not__Suc__n_0,axiom,
% 0.82/0.90 V_n != c_Suc(V_n) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom,
% 0.82/0.90 c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__strict__right__mono_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__less__cancel__right_1,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__less__cancel__right_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__strict__left__mono_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__less__cancel__left_1,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__less__cancel__left_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_split__mod_0,axiom,
% 0.82/0.90 ( ~ hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 0.82/0.90 | hBOOL(hAPP(V_P,V_n)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_split__mod_5,axiom,
% 0.82/0.90 ( ~ hBOOL(hAPP(V_P,V_n))
% 0.82/0.90 | hBOOL(hAPP(V_P,c_Divides_Odiv__class_Omod(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.90 | 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.90 | 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.90 | 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)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.90 | 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)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_rev__nth_0,axiom,
% 0.82/0.90 ( c_List_Onth(c_List_Orev(V_xs,T_a),V_n,T_a) = c_List_Onth(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Suc(V_n),tc_nat),T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_gr__implies__not0_0,axiom,
% 0.82/0.90 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_not__less0_0,axiom,
% 0.82/0.90 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__cancel__21_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Oring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Oring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nth__list__update__neq_0,axiom,
% 0.82/0.90 ( c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a) = c_List_Onth(V_xs,V_j,T_a)
% 0.82/0.90 | V_i = V_j ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_COMBK__def_0,axiom,
% 0.82/0.90 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__less__divisor_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_not__leE_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.90 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | ~ c_lessequals(V_x,V_x,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.82/0.90 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__not__less_1,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__not__less_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | c_lessequals(V_y,V_x,T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__not__le_1,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | ~ c_lessequals(V_x,V_y,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__not__le_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.82/0.90 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_less__le__not__le_1,axiom,
% 0.82/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.90 | ~ c_lessequals(V_y,V_x,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__add__left__eq_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__add__right__eq_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__strict__increasing2_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.82/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.82/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__le__mono2_0,axiom,
% 0.82/0.90 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__le__mono_0,axiom,
% 0.82/0.90 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__diff__iff_1,axiom,
% 0.82/0.90 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__diff__iff_0,axiom,
% 0.82/0.90 ( c_lessequals(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_eq__eqI_1,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.82/0.90 | V_xa = V_y ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_eq__eqI_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.82/0.90 | V_x_H = V_y_H ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_eq__diff__iff_0,axiom,
% 0.82/0.90 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_m,tc_nat)
% 0.82/0.90 | V_m = V_n ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zero__neq__one_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.82/0.90 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_eq__number__of_0,axiom,
% 0.82/0.90 ( ~ class_Int_Oring__char__0(T_a)
% 0.82/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.82/0.90 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 0.82/0.90 | V_x = V_y ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__0__eq__0_0,axiom,
% 0.82/0.90 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zero__less__Suc_0,axiom,
% 0.82/0.90 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.82/0.90 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.82/0.90 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) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_rotate__length01_0,axiom,
% 0.82/0.90 ( c_List_Orotate(V_n,V_xs,T_a) = V_xs
% 0.82/0.90 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__le__self_0,axiom,
% 0.82/0.90 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__neg__neg_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.82/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.82/0.90 | V_x = V_y ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_right__minus__eq_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.82/0.90 | V_a = V_b ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.82/0.90 | V_a = V_b ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_expand__Suc_0,axiom,
% 0.82/0.90 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Nat_Odiff__diff__eq_0,axiom,
% 0.82/0.90 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_k,V_m,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__commute_0,axiom,
% 0.82/0.90 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le0_0,axiom,
% 0.82/0.90 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__nonneg__pos_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.82/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__pos__nonneg_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__less__mono_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_c,V_a,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__lessI_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.82/0.90 | c_Suc(V_m) = V_n
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_not__less__eq__eq_1,axiom,
% 0.82/0.90 ( ~ c_lessequals(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_not__less__eq__eq_0,axiom,
% 0.82/0.90 ( c_lessequals(c_Suc(V_n),V_m,tc_nat)
% 0.82/0.90 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.82/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | V_y = V_z ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__imp__eq_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | V_b = V_c ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__left__cancel_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | V_b = V_c ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__right__cancel_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | V_b = V_c ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__less__eq__dividend_0,axiom,
% 0.82/0.90 c_lessequals(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_m,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.82/0.90 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.82/0.90 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__diff__eq_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Oring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_mod__Suc_0,axiom,
% 0.82/0.90 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n
% 0.82/0.90 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.82/0.90 ( V_x = V_y
% 0.82/0.90 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nth__Cons__number__of_1,axiom,
% 0.82/0.90 ( c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),T_a) = c_List_Onth(V_xs,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),T_a)
% 0.82/0.90 | c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__diff__diff_0,axiom,
% 0.82/0.90 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__Suc__eq__diff__pred_0,axiom,
% 0.82/0.90 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Lambda_0,axiom,
% 0.82/0.90 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.82/0.90 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.90 | 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)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__Suc__eq_2,axiom,
% 0.82/0.90 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__diff__cancel_0,axiom,
% 0.82/0.90 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i
% 0.82/0.90 | ~ c_lessequals(V_i,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.82/0.90 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) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__SucE_0,axiom,
% 0.82/0.90 ( V_m = c_Suc(V_n)
% 0.82/0.90 | c_lessequals(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_not__less__eq_1,axiom,
% 0.82/0.90 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_not__less__eq_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zero__less__two_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.82/0.90 | 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_rtranclp__idemp_0,axiom,
% 0.82/0.90 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.82/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.82/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.82/0.90 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.82/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__0__left_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.82/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.82/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.82/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.82/0.90 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_list__update__same__conv_0,axiom,
% 0.82/0.90 ( c_List_Olist__update(V_xs,V_i,V_x,T_a) != V_xs
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.82/0.90 | c_List_Onth(V_xs,V_i,T_a) = V_x ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_abs_0,axiom,
% 0.82/0.90 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__diff__cancel_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__le__less__mono_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.82/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__less__le__mono_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_lessequals(V_c,V_d,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__less__eq_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__mono_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.82/0.90 | 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)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_length__greater__0__conv_1,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.82/0.90 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_length__greater__0__conv_0,axiom,
% 0.82/0.90 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.82/0.90 ( V_ys = V_xs
% 0.82/0.90 | V_y = V_x
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.82/0.90 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.82/0.90 | V_y = V_x
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.82/0.90 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.82/0.90 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.82/0.90 ( V_ys = V_xs
% 0.82/0.90 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_xt1_I6_J_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_lessequals(V_z,V_x,T_a)
% 0.82/0.90 | ~ c_lessequals(V_z,V_y,T_a)
% 0.82/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_xt1_I7_J_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.82/0.90 | ~ c_lessequals(V_z,V_y,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_xt1_I8_J_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.82/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.82/0.90 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.82/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__trans_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.90 | c_lessequals(V_x,V_z,T_a)
% 0.82/0.90 | ~ c_lessequals(V_y,V_z,T_a)
% 0.82/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__refl_0,axiom,
% 0.82/0.90 c_lessequals(V_n,V_n,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__trans_0,axiom,
% 0.82/0.90 ( c_lessequals(V_i,V_k,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_j,V_k,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_eq__imp__le_0,axiom,
% 0.82/0.90 c_lessequals(V_x,V_x,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__eq__iff_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__eq__refl_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.90 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__le__less__trans_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.82/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__less__le__trans_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.82/0.90 | ~ c_lessequals(V_y,V_z,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__add__right__mono_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.90 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.82/0.90 | ~ c_lessequals(V_c,V_d,T_a)
% 0.82/0.90 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.82/0.90 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.82/0.90 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.82/0.90 | ~ 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.82/0.90 ( 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)
% 0.82/0.90 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.82/0.90 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nat__diff__split_0,axiom,
% 0.82/0.90 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)
% 0.82/0.90 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__less__Suc__eq_0,axiom,
% 0.82/0.90 ( V_n = V_m
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.82/0.90 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.82/0.90 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zero__less__diff_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zero__less__diff_1,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__lessD_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_less__SucI_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__pred_0,axiom,
% 0.82/0.90 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__less_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__eqI_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.82/0.90 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.82/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__eqI_1,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.82/0.90 | c_lessequals(V_y,V_x,T_a)
% 0.82/0.90 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_less__eqI_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_less__eqI_1,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.82/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(V_a,V_c,T_a)),V_b),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.82/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.82/0.90 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a)),V_c,T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_diff__Suc__less_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nth__list__update_1,axiom,
% 0.82/0.90 ( c_List_Onth(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_j,T_a) = c_List_Onth(V_xs,V_j,T_a)
% 0.82/0.90 | V_i = V_j
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_xt1_I11_J_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.82/0.90 | V_a = V_b
% 0.82/0.90 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_xt1_I12_J_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.82/0.90 | ~ c_lessequals(V_b,V_a,T_a)
% 0.82/0.90 | V_a = V_b ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nat__less__le_2,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | V_m = V_n
% 0.82/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__eq__less__or__eq_0,axiom,
% 0.82/0.90 ( V_m = V_n
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_le__neq__implies__less_0,axiom,
% 0.82/0.90 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.82/0.90 | V_m = V_n
% 0.82/0.90 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__le__less_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | V_x = V_y
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__less__le_2,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.90 | V_x = V_y
% 0.82/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__le__neq__trans_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.82/0.90 | V_a = V_b
% 0.82/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__neq__le__trans_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.82/0.90 | ~ c_lessequals(V_a,V_b,T_a)
% 0.82/0.90 | V_a = V_b ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | V_x = V_y
% 0.82/0.90 | ~ c_lessequals(V_x,V_y,T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | V_x = V_y
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__le__mono_0,axiom,
% 0.82/0.90 ( c_lessequals(V_n,V_m,tc_nat)
% 0.82/0.90 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__le__mono_1,axiom,
% 0.82/0.90 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat)
% 0.82/0.90 | ~ c_lessequals(V_n,V_m,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_xt1_I9_J_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.82/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.82/0.90 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nat__le__linear_0,axiom,
% 0.82/0.90 ( c_lessequals(V_n,V_m,tc_nat)
% 0.82/0.90 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_linorder__linear_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.82/0.90 | c_lessequals(V_y,V_x,T_a)
% 0.82/0.90 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__less__asym_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_order__less__asym_H_0,axiom,
% 0.82/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_take__Cons_H_1,axiom,
% 0.82/0.90 ( c_List_Otake(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a)
% 0.82/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_drop__Cons_H_1,axiom,
% 0.82/0.90 ( c_List_Odrop(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a)
% 0.82/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_list__update__append_1,axiom,
% 0.82/0.90 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(V_xs,c_List_Olist__update(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_x,T_a),T_a)
% 0.82/0.90 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_rotate__rev_0,axiom,
% 0.82/0.90 c_List_Orotate(V_n,c_List_Orev(V_xs,T_a),T_a) = c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),tc_nat),V_xs,T_a),T_a) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_take__Suc__conv__app__nth_0,axiom,
% 0.82/0.90 ( c_List_Otake(c_Suc(V_i),V_xs,T_a) = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Olist_ONil(T_a),T_a),T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_id__take__nth__drop_0,axiom,
% 0.82/0.90 ( V_xs = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(c_List_Onth(V_xs,V_i,T_a),c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)
% 0.82/0.90 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nth__Cons_H_0,axiom,
% 0.82/0.90 c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_foldl__absorb0_0,axiom,
% 0.82/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.82/0.90 | 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) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_length__Suc__conv_2,axiom,
% 0.82/0.90 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Suc__length__conv_2,axiom,
% 0.82/0.90 c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_impossible__Cons_0,axiom,
% 0.82/0.90 ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.82/0.90 ( 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)))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.82/0.90 ( 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)))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.82/0.90 ( 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)))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_take__Suc__Cons_0,axiom,
% 0.82/0.90 c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.82/0.90 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.82/0.90 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.82/0.90 ( 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)
% 0.82/0.90 | V_rs = V_ss ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.82/0.90 ( 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)
% 0.82/0.90 | V_r = V_s ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.82/0.90 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.82/0.90 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.82/0.90 ( 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)
% 0.82/0.90 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.82/0.90 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) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.82/0.90 ( 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)))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.82/0.90 ( 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)))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.82/0.90 ( 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)))
% 0.82/0.90 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_head__Var__reduction_0,axiom,
% 0.82/0.90 ( 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)
% 0.82/0.90 | ~ 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)) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_drop__1__Cons_0,axiom,
% 0.82/0.90 c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_drop__Suc__Cons_0,axiom,
% 0.82/0.90 c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_nth__via__drop_0,axiom,
% 0.82/0.90 ( c_List_Odrop(V_n,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.82/0.90 | c_List_Onth(V_xs,V_n,T_a) = V_y ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_take__all_0,axiom,
% 0.82/0.90 ( c_List_Otake(V_n,V_xs,T_a) = V_xs
% 0.82/0.90 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_length__drop_0,axiom,
% 0.82/0.90 c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_list__update__code_I3_J_0,axiom,
% 0.82/0.90 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a) = c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a) ).
% 0.82/0.90
% 0.82/0.90 cnf(cls_typing__elims_I2_J_1,axiom,
% 0.82/0.90 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_replicate__Suc_0,axiom,
% 0.82/0.91 c_List_Oreplicate(c_Suc(V_n),V_x,T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__beyond_0,axiom,
% 0.82/0.91 ( c_List_Olist__update(V_xs,V_i,V_x,T_a) = V_xs
% 0.82/0.91 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subject__reduction_H_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.82/0.91 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__Var_1,axiom,
% 0.82/0.91 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.82/0.91 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__Var_2,axiom,
% 0.82/0.91 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.82/0.91 | V_i = V_k
% 0.82/0.91 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__lt_0,axiom,
% 0.82/0.91 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j)
% 0.82/0.91 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__take_0,axiom,
% 0.82/0.91 c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_shift__commute_0,axiom,
% 0.82/0.91 c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a) = c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rotate__conv__mod_0,axiom,
% 0.82/0.91 c_List_Orotate(V_n,V_xs,T_a) = c_List_Orotate(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.82/0.91 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.82/0.91 | 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) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__replicate_0,axiom,
% 0.82/0.91 c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.82/0.91 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.82/0.91 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_nth__append__length_0,axiom,
% 0.82/0.91 c_List_Onth(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),T_a) = V_x ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_take__1__Cons_0,axiom,
% 0.82/0.91 c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__Cons__number__of_0,axiom,
% 0.82/0.91 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.82/0.91 | c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_apps__preserves__betas_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__eq__Nil_0,axiom,
% 0.82/0.91 ( c_List_Odrop(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__all_0,axiom,
% 0.82/0.91 ( c_List_Odrop(V_n,V_xs,T_a) = c_List_Olist_ONil(T_a)
% 0.82/0.91 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv__if_2,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.82/0.91 | c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) = V_ys_092_060_094isub_0621
% 0.82/0.91 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_take__append_0,axiom,
% 0.82/0.91 c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv__if_0,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.82/0.91 | V_xs_092_060_094isub_0621 = c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)
% 0.82/0.91 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv__if_1,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.82/0.91 | V_xs_092_060_094isub_0622 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a)
% 0.82/0.91 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv__if_3,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.82/0.91 | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a) = V_ys_092_060_094isub_0622
% 0.82/0.91 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__append_0,axiom,
% 0.82/0.91 c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__append1_0,axiom,
% 0.82/0.91 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a)
% 0.82/0.91 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__append_0,axiom,
% 0.82/0.91 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a)
% 0.82/0.91 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.82/0.91 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.82/0.91 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_upd__conv__take__nth__drop_0,axiom,
% 0.82/0.91 ( c_List_Olist__update(V_xs,V_i,V_a,T_a) = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(V_a,c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a)
% 0.82/0.91 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldl__foldr1_0,axiom,
% 0.82/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.82/0.91 | 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) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.82/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.82/0.91 | 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)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__replicate__const_0,axiom,
% 0.82/0.91 c_List_Omap(c_COMBK(V_k,T_a,T_b),V_lst,T_b,T_a) = c_List_Oreplicate(c_Nat_Osize__class_Osize(V_lst,tc_List_Olist(T_b)),V_k,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rotate__id_0,axiom,
% 0.82/0.91 ( c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.82/0.91 | c_List_Orotate(V_n,V_xs,T_a) = V_xs ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_typing__elims_I2_J_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_take__Cons__number__of_0,axiom,
% 0.82/0.91 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.82/0.91 | c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_beta_0,axiom,
% 0.82/0.91 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)))) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_head__Var__reduction_1,axiom,
% 0.82/0.91 ( 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)
% 0.82/0.91 | ~ 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)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv__if_4,axiom,
% 0.82/0.91 ( c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) != V_ys_092_060_094isub_0621
% 0.82/0.91 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat)
% 0.82/0.91 | c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv__if_5,axiom,
% 0.82/0.91 ( V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)
% 0.82/0.91 | c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a)
% 0.82/0.91 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__take_0,axiom,
% 0.82/0.91 c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__drop_0,axiom,
% 0.82/0.91 c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__app__typeD_1,axiom,
% 0.82/0.91 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__app__typeE_1,axiom,
% 0.82/0.91 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Abs_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))
% 0.82/0.91 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Beta_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.82/0.91 | ~ 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))) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rotate__drop__take_0,axiom,
% 0.82/0.91 c_List_Orotate(V_n,V_xs,T_a) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),c_List_Otake(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_var__app__typesE_1,axiom,
% 0.82/0.91 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.82/0.91 | ~ 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) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_var__app__types_1,axiom,
% 0.82/0.91 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.82/0.91 | ~ 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)
% 0.82/0.91 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.82/0.91 | ~ 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) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__app__typeE_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__app__typeD_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_var__app__typesE_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.82/0.91 | ~ 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) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_var__app__types_0,axiom,
% 0.82/0.91 ( V_U = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype)
% 0.82/0.91 | ~ 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)
% 0.82/0.91 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.82/0.91 | ~ 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) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_argT_0,axiom,
% 0.82/0.91 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_nT_0,axiom,
% 0.82/0.91 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_headT_0,axiom,
% 0.82/0.91 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__app__typeI_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 0.82/0.91 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.82/0.91 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__Cons_H_0,axiom,
% 0.82/0.91 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.82/0.91 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 0.82/0.91 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldl__Cons_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__0_0,axiom,
% 0.82/0.91 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_T_0,axiom,
% 0.82/0.91 v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__singleton__conv_1,axiom,
% 0.82/0.91 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 0.82/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.82/0.91 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_typing_OVar_0,axiom,
% 0.82/0.91 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__Cons_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__conv__conj_1,axiom,
% 0.82/0.91 V_ys = c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_take__eq__Nil_0,axiom,
% 0.82/0.91 ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__nonempty_1,axiom,
% 0.82/0.91 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__code_I1_J_0,axiom,
% 0.82/0.91 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update_Osimps_I1_J_0,axiom,
% 0.82/0.91 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_neq__Nil__conv_1,axiom,
% 0.82/0.91 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.82/0.91 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.82/0.91 ( 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)
% 0.82/0.91 | V_r = V_s ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__take__drop__id_0,axiom,
% 0.82/0.91 c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_appR_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_appL_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 0.82/0.91 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_calculation_0,axiom,
% 0.82/0.91 c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__drop_0,axiom,
% 0.82/0.91 ( c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a)
% 0.82/0.91 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__rev_1,axiom,
% 0.82/0.91 ( c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a)
% 0.82/0.91 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__rev_0,axiom,
% 0.82/0.91 ( c_List_Odistinct(V_xs,T_a)
% 0.82/0.91 | ~ c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_replicate__empty_1,axiom,
% 0.82/0.91 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__is__Nil__conv_0,axiom,
% 0.82/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lift__preserves__beta_0,axiom,
% 0.82/0.91 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rotate__is__Nil__conv_1,axiom,
% 0.82/0.91 c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_not__Cons__self2_0,axiom,
% 0.82/0.91 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_not__Cons__self_0,axiom,
% 0.82/0.91 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__code_I2_J_0,axiom,
% 0.82/0.91 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_length__list__update_0,axiom,
% 0.82/0.91 c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_singleton__rev__conv_1,axiom,
% 0.82/0.91 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_app__Var__IT_0,axiom,
% 0.82/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 0.82/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.82/0.91 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.82/0.91 | V_x = V_y
% 0.82/0.91 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__lemma_0,axiom,
% 0.82/0.91 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.82/0.91 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.82/0.91 | c_Type_Otyping(V_e_H,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldl__foldr_0,axiom,
% 0.82/0.91 c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b) = c_List_Ofoldr(c_COMBC(V_f,T_a,T_b,T_a),c_List_Orev(V_xs,T_b),V_a,T_b,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.82/0.91 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__take_0,axiom,
% 0.82/0.91 ( c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a)
% 0.82/0.91 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_replicate__append__same_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__is__Nil__conv_1,axiom,
% 0.82/0.91 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__append_0,axiom,
% 0.82/0.91 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldl__append_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct_Osimps_I2_J_1,axiom,
% 0.82/0.91 ( c_List_Odistinct(V_xs,T_a)
% 0.82/0.91 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.82/0.91 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__nonempty_0,axiom,
% 0.82/0.91 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_singleton__rev__conv_0,axiom,
% 0.82/0.91 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 0.82/0.91 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.82/0.91 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.82/0.91 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.82/0.91 ( c_List_Olistsp(V_A,V_ys,T_a)
% 0.82/0.91 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_listsp_ONil_0,axiom,
% 0.82/0.91 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.82/0.91 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.82/0.91 | V_m = V_n ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__same__eq_0,axiom,
% 0.82/0.91 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.82/0.91 | V_ys = V_zs ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_same__append__eq_0,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.82/0.91 | V_ys = V_zs ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_take__eq__Nil_2,axiom,
% 0.82/0.91 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_varT_0,axiom,
% 0.82/0.91 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__Nil2_0,axiom,
% 0.82/0.91 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.82/0.91 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_self__append__conv_1,axiom,
% 0.82/0.91 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__Nil_0,axiom,
% 0.82/0.91 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_self__append__conv2_1,axiom,
% 0.82/0.91 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__append_0,axiom,
% 0.82/0.91 ( c_List_Odistinct(V_xs,T_a)
% 0.82/0.91 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__append_1,axiom,
% 0.82/0.91 ( c_List_Odistinct(V_ys,T_a)
% 0.82/0.91 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__swap_0,axiom,
% 0.82/0.91 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__swap_1,axiom,
% 0.82/0.91 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__rev__ident_0,axiom,
% 0.82/0.91 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__conv__conj_0,axiom,
% 0.82/0.91 V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.82/0.91 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)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__replicate_0,axiom,
% 0.82/0.91 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldr__append_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__singleton__conv_0,axiom,
% 0.82/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 0.82/0.91 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.82/0.91 ( hAPP(V_e,V_i) = V_T
% 0.82/0.91 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__Nil_0,axiom,
% 0.82/0.91 c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Var__IT_0,axiom,
% 0.82/0.91 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_o__apply_0,axiom,
% 0.82/0.91 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_o__eq__dest__lhs_0,axiom,
% 0.82/0.91 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldl__Nil_0,axiom,
% 0.82/0.91 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_shift__eq_0,axiom,
% 0.82/0.91 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_MI1_0,axiom,
% 0.82/0.91 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.82/0.91 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,V_u,V_T1)
% 0.82/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.82/0.91 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)
% 0.82/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_MI2_0,axiom,
% 0.82/0.91 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.82/0.91 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,V_u,V_T2)
% 0.82/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.82/0.91 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)
% 0.82/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lift__IT_0,axiom,
% 0.82/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))
% 0.82/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.82/0.91 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.82/0.91 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.82/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_length__0__conv_1,axiom,
% 0.82/0.91 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__conv__conj_2,axiom,
% 0.82/0.91 ( V_xs != c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a)
% 0.82/0.91 | c_List_Oappend(V_xs,c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a),T_a) = V_zs ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.82/0.91 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.82/0.91 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.82/0.91 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_apps__preserves__beta_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_length__rotate_0,axiom,
% 0.82/0.91 c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_empty__replicate_1,axiom,
% 0.82/0.91 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_var__app__type__eq_0,axiom,
% 0.82/0.91 ( V_T = V_U
% 0.82/0.91 | ~ 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)
% 0.82/0.91 | ~ 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) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__replicate__commute_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.82/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.82/0.91 | V_dB2 = V_dB2_H ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.82/0.91 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.82/0.91 | V_dB1 = V_dB1_H ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_IT_OVar_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.82/0.91 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_App_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.82/0.91 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.82/0.91 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct_Osimps_I1_J_0,axiom,
% 0.82/0.91 c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.82/0.91 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_take__0_0,axiom,
% 0.82/0.91 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__is__rev__conv_0,axiom,
% 0.82/0.91 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 0.82/0.91 | V_xs = V_ys ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_take__Cons_H_0,axiom,
% 0.82/0.91 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__rotate_0,axiom,
% 0.82/0.91 ( c_List_Odistinct(V_xs,T_a)
% 0.82/0.91 | ~ c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__rotate_1,axiom,
% 0.82/0.91 ( c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a)
% 0.82/0.91 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_replicate__empty_0,axiom,
% 0.82/0.91 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldr__foldl_0,axiom,
% 0.82/0.91 c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a) = c_List_Ofoldl(c_COMBC(V_f,T_b,T_a,T_a),V_a,c_List_Orev(V_xs,T_b),T_a,T_b) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.82/0.91 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.82/0.91 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 0.82/0.91 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_o__assoc_0,axiom,
% 0.82/0.91 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_length__replicate_0,axiom,
% 0.82/0.91 c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_empty__replicate_0,axiom,
% 0.82/0.91 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 0.82/0.91 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_length__0__conv_0,axiom,
% 0.82/0.91 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Nil__is__rev__conv_0,axiom,
% 0.82/0.91 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 0.82/0.91 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)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rotate__is__Nil__conv_0,axiom,
% 0.82/0.91 ( c_List_Orotate(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__Var__IT_0,axiom,
% 0.82/0.91 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j)))
% 0.82/0.91 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__length_0,axiom,
% 0.82/0.91 c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__self__conv_0,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.82/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_self__append__conv_0,axiom,
% 0.82/0.91 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.82/0.91 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__self__conv2_0,axiom,
% 0.82/0.91 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_self__append__conv2_0,axiom,
% 0.82/0.91 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.82/0.91 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.82/0.91 | V_type2 = V_type2_H ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.82/0.91 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.82/0.91 | V_type1 = V_type1_H ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv__if_6,axiom,
% 0.82/0.91 ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) != V_ys_092_060_094isub_0622
% 0.82/0.91 | c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) != V_ys_092_060_094isub_0621
% 0.82/0.91 | V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a)
% 0.82/0.91 | c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list_Oinject_0,axiom,
% 0.82/0.91 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.82/0.91 | V_a = V_a_H ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list_Oinject_1,axiom,
% 0.82/0.91 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.82/0.91 | V_list = V_list_H ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.82/0.91 ( 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)
% 0.82/0.91 | V_rs = V_ss ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.82/0.91 ( 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)
% 0.82/0.91 | V_m = V_n ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subject__reduction_0,axiom,
% 0.82/0.91 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.82/0.91 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__swap_0,axiom,
% 0.82/0.91 ( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a) = c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)
% 0.82/0.91 | V_i = V_i_H ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.82/0.91 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.82/0.91 | V_nat = V_nat_H ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_replicate__app__Cons__same_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_o__eq__dest_0,axiom,
% 0.82/0.91 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 0.82/0.91 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_comp__cong_0,axiom,
% 0.82/0.91 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 0.82/0.91 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Nil__is__rev__conv_1,axiom,
% 0.82/0.91 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_length__rev_0,axiom,
% 0.82/0.91 c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append1__eq__conv_0,axiom,
% 0.82/0.91 ( 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)
% 0.82/0.91 | V_xs = V_ys ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append1__eq__conv_1,axiom,
% 0.82/0.91 ( 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)
% 0.82/0.91 | V_x = V_y ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.82/0.91 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_list__update__overwrite_0,axiom,
% 0.82/0.91 c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__assoc_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__appendI_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lift__type_0,axiom,
% 0.82/0.91 ( 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)
% 0.82/0.91 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lifts__IT_0,axiom,
% 0.82/0.91 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.82/0.91 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_uT_0,axiom,
% 0.82/0.91 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__is__Nil__conv_0,axiom,
% 0.82/0.91 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__App_0,axiom,
% 0.82/0.91 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)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_drop__map_0,axiom,
% 0.82/0.91 c_List_Odrop(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Odrop(V_n,V_xs,T_b),T_b,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__eq_0,axiom,
% 0.82/0.91 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__idI_1,axiom,
% 0.82/0.91 ( hAPP(V_f,c_List_Osko__List__Xmap__idI__1__1(V_f,V_xs,T_a)) != c_List_Osko__List__Xmap__idI__1__1(V_f,V_xs,T_a)
% 0.82/0.91 | c_List_Omap(V_f,V_xs,T_a,T_a) = V_xs ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lift__map_0,axiom,
% 0.82/0.91 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(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_distinct__map_0,axiom,
% 0.82/0.91 ( c_List_Odistinct(V_xs,T_b)
% 0.82/0.91 | ~ c_List_Odistinct(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__append_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_uT_H_0,axiom,
% 0.82/0.91 c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__eq__imp__length__eq_0,axiom,
% 0.82/0.91 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_f,V_ys,T_b,T_a)
% 0.82/0.91 | c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) = c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_True_0,axiom,
% 0.82/0.91 v_n____ = v_i____ ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Nil__is__map__conv_0,axiom,
% 0.82/0.91 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 0.82/0.91 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__replicate_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_length__map_0,axiom,
% 0.82/0.91 c_Nat_Osize__class_Osize(c_List_Omap(V_f,V_xs,T_b,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__map_0,axiom,
% 0.82/0.91 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(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_u),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rotate__map_0,axiom,
% 0.82/0.91 c_List_Orotate(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orotate(V_n,V_xs,T_b),T_b,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_argsT_0,axiom,
% 0.82/0.91 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_rev__map_0,axiom,
% 0.82/0.91 c_List_Orev(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orev(V_xs,T_b),T_b,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__preserves__beta_0,axiom,
% 0.82/0.91 ( 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)))
% 0.82/0.91 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__ext_1,axiom,
% 0.82/0.91 ( hAPP(V_f,c_List_Osko__List__Xmap__ext__1__1(V_f,V_g,V_xs,T_a,T_b)) != hAPP(V_g,c_List_Osko__List__Xmap__ext__1__1(V_f,V_g,V_xs,T_a,T_b))
% 0.82/0.91 | c_List_Omap(V_f,V_xs,T_a,T_b) = c_List_Omap(V_g,V_xs,T_a,T_b) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_take__map_0,axiom,
% 0.82/0.91 c_List_Otake(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Otake(V_n,V_xs,T_b),T_b,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_COMBC__def_0,axiom,
% 0.82/0.91 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__is__Nil__conv_1,axiom,
% 0.82/0.91 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__map_0,axiom,
% 0.82/0.91 c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a) = c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_substs__lemma_0,axiom,
% 0.82/0.91 ( c_Type_Otypings(V_e,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_u),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.82/0.91 | ~ c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts)
% 0.82/0.91 | ~ c_Type_Otyping(V_e,V_u,V_T) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__eq__Cons__conv_3,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Cons__eq__map__conv_3,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map_Osimps_I2_J_0,axiom,
% 0.82/0.91 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) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_uIT_0,axiom,
% 0.82/0.91 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__cong_1,axiom,
% 0.82/0.91 ( hAPP(V_f,c_List_Osko__List__Xmap__cong__1__1(V_f,V_g,V_x,T_a,T_b)) != hAPP(V_g,c_List_Osko__List__Xmap__cong__1__1(V_f,V_g,V_x,T_a,T_b))
% 0.82/0.91 | c_List_Omap(V_f,V_x,T_a,T_b) = c_List_Omap(V_g,V_x,T_a,T_b) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__eq__conv_2,axiom,
% 0.82/0.91 ( hAPP(V_f,c_List_Osko__List__Xmap__eq__conv__1__1(V_f,V_g,V_xs,T_b,T_a)) != hAPP(V_g,c_List_Osko__List__Xmap__eq__conv__1__1(V_f,V_g,V_xs,T_b,T_a))
% 0.82/0.91 | c_List_Omap(V_f,V_xs,T_b,T_a) = c_List_Omap(V_g,V_xs,T_b,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_lift__types_0,axiom,
% 0.82/0.91 ( c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.82/0.91 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_subst__lift_0,axiom,
% 0.82/0.91 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_map__update_0,axiom,
% 0.82/0.91 c_List_Omap(V_f,c_List_Olist__update(V_xs,V_k,V_y,T_b),T_b,T_a) = c_List_Olist__update(c_List_Omap(V_f,V_xs,T_b,T_a),V_k,hAPP(V_f,V_y),T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_Nil__is__map__conv_1,axiom,
% 0.82/0.91 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_CHAINED_0,axiom,
% 0.82/0.91 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_CHAINED_0_01,axiom,
% 0.82/0.91 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_conjecture_0,negated_conjecture,
% 0.82/0.91 ~ c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.82/0.91 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.82/0.91 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.82/0.91 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.82/0.91 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.82/0.91 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.82/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.82/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.82/0.91 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.82/0.91 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.82/0.91 class_Divides_Osemiring__div(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.82/0.91 class_Orderings_Opreorder(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.82/0.91 class_Orderings_Olinorder(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.82/0.91 class_Orderings_Oorder(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_nat__Int_Onumber,axiom,
% 0.82/0.91 class_Int_Onumber(tc_nat) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.82/0.91 class_Orderings_Opreorder(tc_bool) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.82/0.91 class_Orderings_Oorder(tc_bool) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.82/0.91 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 0.82/0.91 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 0.82/0.91 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.82/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.82/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 0.82/0.91 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 0.82/0.91 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Osemigroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 0.82/0.91 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 0.82/0.91 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 0.82/0.91 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Divides_Osemiring__div,axiom,
% 0.82/0.91 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 0.82/0.91 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 0.82/0.91 class_Orderings_Opreorder(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 0.82/0.91 class_Orderings_Olinorder(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Divides_Oring__div,axiom,
% 0.82/0.91 class_Divides_Oring__div(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 0.82/0.91 class_Orderings_Oorder(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 0.82/0.91 class_Int_Oring__char__0(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 0.82/0.91 class_Int_Onumber__ring(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 0.82/0.91 class_Int_Onumber(tc_Int_Oint) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 0.82/0.91 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 0.82/0.91 c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.82/0.91 c_fequal(V_x,V_x,T_a) ).
% 0.82/0.91
% 0.82/0.91 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.82/0.91 ( V_X = V_Y
% 0.82/0.91 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.82/0.91
% 0.82/0.91 %------------------------------------------------------------------------------
% 0.82/0.91 %-------------------------------------------
% 0.82/0.91 % Proof found
% 0.82/0.91 % SZS status Theorem for theBenchmark
% 0.82/0.91 % SZS output start Proof
% 0.82/0.92 %ClaNum:852(EqnAxiom:172)
% 0.82/0.92 %VarNum:4233(SingletonVarNum:1673)
% 0.82/0.92 %MaxLitNum:6
% 0.82/0.92 %MaxfuncDepth:7
% 0.82/0.92 %SharedTerms:111
% 0.82/0.92 %goalClause: 413
% 0.82/0.92 %singleGoalClaCount:1
% 0.82/0.92 [173]E(a1,a2)
% 0.82/0.92 [174]P1(a3)
% 0.82/0.92 [175]P1(a4)
% 0.82/0.92 [176]P2(a3)
% 0.82/0.92 [177]P2(a4)
% 0.82/0.92 [178]P3(a4)
% 0.82/0.92 [179]P4(a4)
% 0.82/0.92 [180]P5(a3)
% 0.82/0.92 [181]P5(a4)
% 0.82/0.92 [182]P24(a3)
% 0.82/0.92 [183]P24(a4)
% 0.82/0.92 [184]P30(a4)
% 0.82/0.92 [185]P15(a4)
% 0.82/0.92 [186]P17(a4)
% 0.82/0.92 [187]P18(a4)
% 0.82/0.92 [188]P31(a3)
% 0.82/0.92 [189]P31(a4)
% 0.82/0.92 [190]P32(a3)
% 0.82/0.92 [191]P32(a4)
% 0.82/0.92 [192]P20(a3)
% 0.82/0.92 [193]P20(a4)
% 0.82/0.92 [194]P25(a3)
% 0.82/0.92 [195]P25(a4)
% 0.82/0.92 [196]P26(a3)
% 0.82/0.92 [197]P26(a4)
% 0.82/0.92 [198]P33(a3)
% 0.82/0.92 [199]P33(a49)
% 0.82/0.92 [200]P33(a4)
% 0.82/0.92 [201]P34(a3)
% 0.82/0.92 [202]P34(a49)
% 0.82/0.92 [203]P34(a4)
% 0.82/0.92 [204]P21(a3)
% 0.82/0.92 [205]P21(a4)
% 0.82/0.92 [206]P35(a3)
% 0.82/0.92 [207]P35(a4)
% 0.82/0.92 [208]P6(a4)
% 0.82/0.92 [209]P27(a4)
% 0.82/0.92 [210]P29(a3)
% 0.82/0.92 [211]P29(a4)
% 0.82/0.92 [212]P16(a3)
% 0.82/0.92 [213]P16(a4)
% 0.82/0.92 [214]P19(a4)
% 0.82/0.92 [215]P22(a3)
% 0.82/0.92 [216]P22(a4)
% 0.82/0.92 [217]P23(a3)
% 0.82/0.92 [218]P23(a4)
% 0.82/0.92 [219]P28(a3)
% 0.82/0.92 [220]P28(a4)
% 0.82/0.92 [232]P10(a54,a61,a55)
% 0.82/0.92 [225]P36(f40(a15,a61))
% 0.82/0.92 [332]P10(f42(a54,a2,a55,a52),a58,a56)
% 0.82/0.92 [334]P14(f42(a54,a2,a55,a52),a60,a59)
% 0.82/0.92 [221]E(f13(f5(a3)),f6(a3))
% 0.82/0.92 [369]P10(f42(a54,a2,a55,a52),f27(a17,f16(a1),a62,a51,a51),a57)
% 0.82/0.92 [371]E(f40(f40(a43,a56),f27(f10(a43,a52,a52,a52),a57,f28(a59,a52),a52,a52)),a55)
% 0.82/0.92 [373]P10(f42(a54,a2,a55,a52),f40(f40(a17,f16(a1)),a58),f27(f10(a43,a52,a52,a52),a57,f28(a59,a52),a52,a52))
% 0.82/0.92 [376]P10(a54,a61,f40(f40(a43,a56),f27(f10(a43,a52,a52,a52),a57,f28(a59,a52),a52,a52)))
% 0.82/0.92 [379]P10(f42(a54,a2,a55,a52),f16(a1),f40(f40(a43,a56),f27(f10(a43,a52,a52,a52),a57,f28(a59,a52),a52,a52)))
% 0.82/0.92 [381]P10(f42(a54,f5(a3),f27(f10(a43,a52,a52,a52),a57,f28(a59,a52),a52,a52),a52),f16(f5(a3)),f27(f10(a43,a52,a52,a52),a57,f28(a59,a52),a52,a52))
% 0.82/0.92 [413]~P14(a54,f31(f40(f10(f40(f10(a23,a51,a51,f53(a3,a51)),a61),a51,a3,a51),a2),a60,a51,a51),a59)
% 0.82/0.92 [234]P12(x2341,x2341,a3)
% 0.82/0.92 [396]~P8(x3961,x3961,a3)
% 0.82/0.92 [222]P7(f14(x2221),x2221)
% 0.82/0.92 [237]E(f7(x2371,x2371,a3),f5(a3))
% 0.82/0.92 [238]P12(f5(a3),x2381,a3)
% 0.82/0.92 [243]P8(x2431,f13(x2431),a3)
% 0.82/0.92 [255]P8(f5(a3),f13(x2551),a3)
% 0.82/0.92 [384]~E(f13(x3841),x3841)
% 0.82/0.92 [388]~E(f13(x3881),f5(a3))
% 0.82/0.92 [400]~P8(x4001,f5(a3),a3)
% 0.82/0.92 [404]~P12(f13(x4041),x4041,a3)
% 0.82/0.92 [224]E(f28(f14(x2241),x2241),f14(x2241))
% 0.82/0.92 [226]E(f33(f14(x2261),f50(x2261)),f5(a3))
% 0.82/0.92 [227]P36(f40(a15,f16(x2271)))
% 0.82/0.92 [239]E(f7(x2391,f5(a3),a3),x2391)
% 0.82/0.92 [241]E(f7(f5(a3),x2411,a3),f5(a3))
% 0.82/0.92 [256]E(f7(f13(x2561),f6(a3),a3),x2561)
% 0.82/0.92 [407]~P8(f5(a3),f33(f14(x4071),f50(x4071)),a3)
% 0.82/0.92 [262]E(f8(x2621,f13(f5(a3)),a3),f5(a3))
% 0.82/0.92 [236]P13(x2361,x2361,x2362)
% 0.82/0.92 [245]P11(x2451,f14(x2452),x2452)
% 0.82/0.92 [266]P10(x2661,f16(x2662),f40(x2661,x2662))
% 0.82/0.92 [273]P12(f8(x2731,x2732,a3),x2731,a3)
% 0.82/0.92 [274]P12(f7(x2741,x2742,a3),x2741,a3)
% 0.82/0.92 [275]P8(f7(x2751,x2752,a3),f13(x2751),a3)
% 0.82/0.92 [390]~E(f20(x3901),f16(x3902))
% 0.82/0.92 [230]E(f28(f28(x2301,x2302),x2302),x2301)
% 0.82/0.92 [235]E(f41(f41(x2351,x2352),x2352),f41(x2351,x2352))
% 0.82/0.92 [240]E(f21(f5(a3),x2401,x2402),x2401)
% 0.82/0.92 [249]E(f22(x2491,f14(x2492),x2492),x2491)
% 0.82/0.92 [250]E(f22(f14(x2501),x2502,x2501),x2502)
% 0.82/0.92 [252]E(f34(f5(a3),x2521,x2522),f14(x2522))
% 0.82/0.92 [253]E(f29(f5(a3),x2531,x2532),f14(x2532))
% 0.82/0.92 [257]E(f21(x2571,f14(x2572),x2572),f14(x2572))
% 0.82/0.92 [258]E(f34(x2581,f14(x2582),x2582),f14(x2582))
% 0.82/0.92 [259]E(f35(x2591,f14(x2592),x2592),f14(x2592))
% 0.82/0.92 [261]E(f33(f28(x2611,x2612),f50(x2612)),f33(x2611,f50(x2612)))
% 0.82/0.92 [269]E(f7(f13(x2691),f13(x2692),a3),f7(x2691,x2692,a3))
% 0.82/0.92 [285]E(f28(f26(x2851,f14(x2852),x2852),x2852),f26(x2851,f14(x2852),x2852))
% 0.82/0.92 [295]E(f7(f7(x2951,f6(a3),a3),x2952,a3),f7(x2951,f13(x2952),a3))
% 0.82/0.92 [316]E(f8(f13(f8(x3161,x3162,a3)),x3162,a3),f8(f13(x3161),x3162,a3))
% 0.82/0.92 [343]P36(f40(f40(a18,f40(f40(a17,f20(x3431)),x3432)),f40(f40(f40(a23,x3431),x3432),f5(a3))))
% 0.82/0.92 [406]~P36(f40(f40(a18,f16(x4061)),x4062))
% 0.82/0.92 [267]E(f40(f40(f40(a23,f16(x2671)),x2672),x2671),x2672)
% 0.82/0.92 [398]~E(f26(x3981,x3982,x3983),x3982)
% 0.82/0.92 [403]~E(f26(x4031,x4032,x4033),f14(x4033))
% 0.82/0.92 [408]~P9(x4081,x4082,f14(x4083),x4083)
% 0.82/0.92 [409]~P9(x4091,f14(x4092),x4093,x4092)
% 0.82/0.92 [268]E(f29(f5(a3),x2681,x2682),f29(f5(a3),x2683,x2682))
% 0.82/0.92 [271]E(f33(f29(x2711,x2712,x2713),f50(x2713)),x2711)
% 0.82/0.92 [272]E(f33(f35(x2721,x2722,x2723),f50(x2723)),f33(x2722,f50(x2723)))
% 0.82/0.92 [276]E(f21(f6(a3),f26(x2761,x2762,x2763),x2763),x2762)
% 0.82/0.92 [277]E(f30(f26(x2771,x2772,x2773),f5(a3),x2773),x2771)
% 0.82/0.92 [281]E(f28(f29(x2811,x2812,x2813),x2813),f29(x2811,x2812,x2813))
% 0.82/0.92 [286]E(f21(f33(x2861,f50(x2862)),f22(x2861,x2863,x2862),x2862),x2863)
% 0.82/0.92 [287]E(f34(f33(x2871,f50(x2872)),f22(x2871,x2873,x2872),x2872),x2871)
% 0.82/0.92 [291]E(f26(x2911,f29(x2912,x2911,x2913),x2913),f29(f13(x2912),x2911,x2913))
% 0.82/0.92 [296]E(f34(f6(a3),f26(x2961,x2962,x2963),x2963),f26(x2961,f14(x2963),x2963))
% 0.82/0.92 [297]E(f22(f28(x2971,x2972),f28(x2973,x2972),x2972),f28(f22(x2973,x2971,x2972),x2972))
% 0.82/0.92 [299]E(f31(x2991,f14(x2992),x2992,x2993),f14(x2993))
% 0.82/0.92 [302]E(f32(f14(x3021),x3022,x3023,x3021),f14(x3021))
% 0.82/0.92 [303]E(f22(f34(x3031,x3032,x3033),f21(x3031,x3032,x3033),x3033),x3032)
% 0.82/0.92 [305]E(f7(f7(x3051,x3052,a3),x3053,a3),f7(f7(x3051,x3053,a3),x3052,a3))
% 0.82/0.92 [318]E(f7(f7(f13(x3181),x3182,a3),f13(x3183),a3),f7(f7(x3181,x3182,a3),x3183,a3))
% 0.82/0.92 [319]E(f32(x3191,x3192,f30(x3191,x3192,x3193),x3193),x3191)
% 0.82/0.92 [321]E(f34(f7(f33(x3211,f50(x3212)),x3213,a3),f28(x3211,x3212),x3212),f28(f21(x3213,x3211,x3212),x3212))
% 0.82/0.92 [322]E(f21(f7(f33(x3221,f50(x3222)),x3223,a3),f28(x3221,x3222),x3222),f28(f34(x3223,x3221,x3222),x3222))
% 0.82/0.92 [391]~E(f16(x3911),f40(f40(a17,x3912),x3913))
% 0.82/0.92 [392]~E(f20(x3921),f40(f40(a17,x3922),x3923))
% 0.82/0.92 [393]~E(f40(f40(a17,x3931),x3932),f16(x3933))
% 0.82/0.92 [394]~E(f40(f40(a17,x3941),x3942),f20(x3943))
% 0.82/0.92 [410]~P12(f33(f26(x4101,x4102,x4103),f50(x4103)),f33(x4102,f50(x4103)),a3)
% 0.82/0.92 [280]E(f33(f26(x2801,x2802,x2803),f50(x2803)),f13(f33(x2802,f50(x2803))))
% 0.82/0.92 [283]P36(f40(f40(f41(x2831,x2832),x2833),x2833))
% 0.82/0.92 [288]E(f33(f21(x2881,x2882,x2883),f50(x2883)),f7(f33(x2882,f50(x2883)),x2881,a3))
% 0.82/0.92 [307]E(f22(f28(x3071,x3072),f26(x3073,f14(x3072),x3072),x3072),f28(f26(x3073,x3071,x3072),x3072))
% 0.82/0.92 [328]E(f22(f29(x3281,x3282,x3283),f26(x3282,f14(x3283),x3283),x3283),f26(x3282,f29(x3281,x3282,x3283),x3283))
% 0.82/0.92 [304]E(f35(f8(x3041,f33(x3042,f50(x3043)),a3),x3042,x3043),f35(x3041,x3042,x3043))
% 0.82/0.92 [326]E(f40(f40(a17,f40(f40(a24,x3261),x3262)),f40(f40(a24,x3263),x3262)),f40(f40(a24,f40(f40(a17,x3261),x3263)),x3262))
% 0.82/0.92 [330]E(f28(f22(f28(x3301,x3302),f26(x3303,f14(x3302),x3302),x3302),x3302),f26(x3303,x3301,x3302))
% 0.82/0.92 [380]E(f27(a17,f40(f40(a24,x3801),x3802),f31(f40(f10(a24,a51,a3,a51),x3802),x3803,a51,a51),a51,a51),f40(f40(a24,f27(a17,x3801,x3803,a51,a51)),x3802))
% 0.82/0.92 [320]E(f40(f40(f40(a23,f40(f40(a24,x3201),x3202)),x3203),x3202),x3201)
% 0.82/0.92 [353]E(f22(f21(f8(x3531,f33(x3532,f50(x3533)),a3),x3532,x3533),f34(f8(x3531,f33(x3532,f50(x3533)),a3),x3532,x3533),x3533),f35(x3531,x3532,x3533))
% 0.82/0.92 [360]E(f28(f35(f7(f33(x3601,f50(x3602)),f8(x3603,f33(x3601,f50(x3602)),a3),a3),x3601,x3602),x3602),f35(x3603,f28(x3601,x3602),x3602))
% 0.82/0.92 [270]E(f40(f9(x2701,x2702,x2703),x2704),x2701)
% 0.82/0.92 [293]E(f21(f13(x2931),f26(x2932,x2933,x2934),x2934),f21(x2931,x2933,x2934))
% 0.82/0.92 [294]E(f30(f26(x2941,x2942,x2943),f13(x2944),x2943),f30(x2942,x2944,x2943))
% 0.82/0.92 [306]E(f21(x3061,f29(x3062,x3063,x3064),x3064),f29(f7(x3062,x3061,a3),x3063,x3064))
% 0.82/0.92 [313]E(f22(f22(x3131,x3132,x3133),x3134,x3133),f22(x3131,f22(x3132,x3134,x3133),x3133))
% 0.82/0.92 [315]E(f26(x3151,f22(x3152,x3153,x3154),x3154),f22(f26(x3151,x3152,x3154),x3153,x3154))
% 0.82/0.92 [317]E(f34(f13(x3171),f26(x3172,x3173,x3174),x3174),f26(x3172,f34(x3171,x3173,x3174),x3174))
% 0.82/0.92 [323]E(f32(f26(x3231,x3232,x3233),f5(a3),x3234,x3233),f26(x3234,x3232,x3233))
% 0.82/0.92 [325]E(f34(f7(x3251,x3252,a3),f21(x3252,x3253,x3254),x3254),f21(x3252,f34(x3251,x3253,x3254),x3254))
% 0.82/0.92 [331]E(f40(f42(x3311,x3312,x3313,x3314),x3312),x3313)
% 0.82/0.92 [335]E(f33(f32(x3351,x3352,x3353,x3354),f50(x3354)),f33(x3351,f50(x3354)))
% 0.82/0.92 [336]E(f33(f31(x3361,x3362,x3363,x3364),f50(x3364)),f33(x3362,f50(x3363)))
% 0.82/0.92 [337]E(f22(f29(x3371,x3372,x3373),f29(x3374,x3372,x3373),x3373),f22(f29(x3374,x3372,x3373),f29(x3371,x3372,x3373),x3373))
% 0.82/0.92 [340]E(f28(f31(x3401,x3402,x3403,x3404),x3404),f31(x3401,f28(x3402,x3403),x3403,x3404))
% 0.82/0.92 [356]E(f27(x3561,x3562,f14(x3563),x3564,x3563),x3562)
% 0.82/0.92 [412]~E(f27(a17,f20(x4121),x4122,a51,a51),f27(a17,f16(x4123),x4124,a51,a51))
% 0.82/0.92 [324]E(f30(f22(x3241,f26(x3242,x3243,x3244),x3244),f33(x3241,f50(x3244)),x3244),x3242)
% 0.82/0.92 [329]E(f31(f9(x3291,x3292,x3293),x3294,x3293,x3292),f29(f33(x3294,f50(x3293)),x3291,x3292))
% 0.82/0.92 [338]E(f26(x3381,f22(f29(x3382,x3381,x3383),x3384,x3383),x3383),f22(f29(x3382,x3381,x3383),f26(x3381,x3384,x3383),x3383))
% 0.82/0.92 [365]E(f27(f10(x3651,x3652,x3653,x3653),x3654,f28(f14(x3652),x3652),x3653,x3652),x3654)
% 0.82/0.92 [411]~E(f40(f40(a17,f20(x4111)),x4112),f27(a17,f16(x4113),x4114,a51,a51))
% 0.82/0.92 [341]E(f22(f21(x3411,x3412,x3413),f21(f7(x3411,f33(x3412,f50(x3413)),a3),x3414,x3413),x3413),f21(x3411,f22(x3412,x3414,x3413),x3413))
% 0.82/0.92 [342]E(f22(f34(x3421,x3422,x3423),f34(f7(x3421,f33(x3422,f50(x3423)),a3),x3424,x3423),x3423),f34(x3421,f22(x3422,x3424,x3423),x3423))
% 0.82/0.92 [348]E(f40(f40(a17,f40(f40(f40(a23,x3481),x3482),x3483)),f40(f40(f40(a23,x3484),x3482),x3483)),f40(f40(f40(a23,f40(f40(a17,x3481),x3484)),x3482),x3483))
% 0.82/0.92 [382]E(f27(a17,f40(f40(f40(a23,x3821),x3822),x3823),f31(f40(f10(f40(f10(a23,a51,a51,f53(a3,a51)),x3822),a51,a3,a51),x3823),x3824,a51,a51),a51,a51),f40(f40(f40(a23,f27(a17,x3821,x3824,a51,a51)),x3822),x3823))
% 0.82/0.92 [327]E(f31(x3271,f29(x3272,x3273,x3274),x3274,x3275),f29(x3272,f40(x3271,x3273),x3275))
% 0.82/0.92 [344]E(f21(x3441,f31(x3442,x3443,x3444,x3445),x3445),f31(x3442,f21(x3441,x3443,x3444),x3444,x3445))
% 0.82/0.92 [345]E(f34(x3451,f31(x3452,x3453,x3454,x3455),x3455),f31(x3452,f34(x3451,x3453,x3454),x3454,x3455))
% 0.82/0.92 [346]E(f35(x3461,f31(x3462,x3463,x3464,x3465),x3465),f31(x3462,f35(x3461,x3463,x3464),x3464,x3465))
% 0.82/0.92 [347]E(f32(f26(x3471,x3472,x3473),f13(x3474),x3475,x3473),f26(x3471,f32(x3472,x3474,x3475,x3473),x3473))
% 0.82/0.92 [350]E(f31(x3501,f26(x3502,x3503,x3504),x3504,x3505),f26(f40(x3501,x3502),f31(x3501,x3503,x3504,x3505),x3505))
% 0.82/0.92 [351]E(f26(f40(x3511,x3512),f31(x3511,x3513,x3514,x3515),x3515),f31(x3511,f26(x3512,x3513,x3514),x3514,x3515))
% 0.82/0.92 [352]E(f32(f32(x3521,x3522,x3523,x3524),x3522,x3525,x3524),f32(x3521,x3522,x3525,x3524))
% 0.82/0.92 [362]E(f22(f31(x3621,x3622,x3623,x3624),f31(x3621,x3625,x3623,x3624),x3624),f31(x3621,f22(x3622,x3625,x3623),x3623,x3624))
% 0.82/0.92 [363]E(f42(f42(x3631,f5(a3),x3632,x3633),f13(x3634),x3635,x3633),f42(f42(x3631,x3634,x3635,x3633),f5(a3),x3632,x3633))
% 0.82/0.92 [339]E(f32(f22(x3391,f26(x3392,x3393,x3394),x3394),f33(x3391,f50(x3394)),x3395,x3394),f22(x3391,f26(x3395,x3393,x3394),x3394))
% 0.82/0.92 [372]E(f27(f10(f10(x3721,x3722,x3723,x3722),x3723,x3722,x3722),x3724,f28(f28(x3725,x3723),x3723),x3722,x3723),f27(x3721,x3724,x3725,x3722,x3723))
% 0.82/0.92 [364]E(f31(x3641,f32(x3642,x3643,x3644,x3645),x3645,x3646),f32(f31(x3641,x3642,x3645,x3646),x3643,f40(x3641,x3644),x3646))
% 0.82/0.92 [367]E(f40(f11(x3671,x3672,x3673,x3674,x3675),x3676),f40(x3671,f40(x3672,x3676)))
% 0.82/0.92 [370]E(f31(x3701,f31(x3702,x3703,x3704,x3705),x3705,x3706),f31(f11(x3701,x3702,x3705,x3706,x3704),x3703,x3704,x3706))
% 0.82/0.92 [374]E(f27(x3741,f27(x3741,x3742,x3743,x3744,x3745),x3746,x3744,x3745),f27(x3741,x3742,f22(x3743,x3746,x3745),x3744,x3745))
% 0.82/0.92 [355]E(f40(f40(f10(x3551,x3552,x3553,x3554),x3555),x3556),f40(f40(x3551,x3556),x3555))
% 0.82/0.92 [368]E(f27(x3681,x3682,f26(x3683,x3684,x3685),x3686,x3685),f27(x3681,f40(f40(x3681,x3682),x3683),x3684,x3686,x3685))
% 0.82/0.92 [375]E(f27(f10(x3751,x3752,x3753,x3753),x3754,f28(f26(x3755,x3756,x3752),x3752),x3753,x3752),f40(f40(x3751,x3755),f27(f10(x3751,x3752,x3753,x3753),x3754,f28(x3756,x3752),x3753,x3752)))
% 0.82/0.92 [377]E(f27(f10(x3771,x3772,x3773,x3773),f27(f10(x3771,x3772,x3773,x3773),x3774,f28(x3775,x3772),x3773,x3772),f28(x3776,x3772),x3773,x3772),f27(f10(x3771,x3772,x3773,x3773),x3774,f28(f22(x3776,x3775,x3772),x3772),x3773,x3772))
% 0.82/0.92 [378]E(f11(x3781,f11(x3782,x3783,x3784,x3785,x3786),x3785,x3787,x3786),f11(f11(x3781,x3782,x3785,x3787,x3784),x3783,x3784,x3787,x3786))
% 0.82/0.92 [419]~P1(x4191)+~E(f6(x4191),f5(x4191))
% 0.82/0.92 [426]E(x4261,f5(a3))+P8(f5(a3),x4261,a3)
% 0.82/0.92 [448]~P2(x4481)+P8(f5(x4481),f6(x4481),x4481)
% 0.82/0.92 [449]~P2(x4491)+P12(f5(x4491),f6(x4491),x4491)
% 0.82/0.92 [454]E(x4541,f5(a3))+~P12(x4541,f5(a3),a3)
% 0.82/0.92 [484]~P2(x4841)+~P8(f6(x4841),f5(x4841),x4841)
% 0.82/0.92 [485]~P2(x4851)+~P12(f6(x4851),f5(x4851),x4851)
% 0.82/0.92 [451]~P4(x4511)+E(f40(f40(f12(x4511),f5(x4511)),f5(x4511)),f5(x4511))
% 0.82/0.92 [452]~P36(f40(a15,x4521))+P36(f40(a15,f20(x4521)))
% 0.82/0.92 [476]E(x4761,f5(a3))+~P8(x4761,f13(f5(a3)),a3)
% 0.82/0.92 [595]~P2(x5951)+P8(f5(x5951),f40(f40(f12(x5951),f6(x5951)),f6(x5951)),x5951)
% 0.82/0.92 [589]~P8(f5(a3),x5891,a3)+E(f13(f7(x5891,f6(a3),a3)),x5891)
% 0.82/0.92 [818]~P11(a15,x8181,a51)+P11(a15,f31(f40(f10(a24,a51,a3,a51),f5(a3)),x8181,a51,a51),a51)
% 0.82/0.92 [602]~P8(f5(a3),x6021,a3)+E(f13(f7(x6021,f13(f5(a3)),a3)),x6021)
% 0.82/0.92 [428]~P33(x4282)+P12(x4281,x4281,x4282)
% 0.82/0.92 [429]~P34(x4292)+P12(x4291,x4291,x4292)
% 0.82/0.92 [459]~P8(x4592,x4592,x4591)+~P33(x4591)
% 0.82/0.92 [460]~P8(x4602,x4602,x4601)+~P34(x4601)
% 0.82/0.92 [461]~P8(x4612,x4612,x4611)+~P35(x4611)
% 0.82/0.92 [475]P12(x4752,x4751,a3)+P12(x4751,x4752,a3)
% 0.82/0.92 [504]~P8(x5041,x5042,a3)+P12(x5041,x5042,a3)
% 0.82/0.92 [415]E(x4151,x4152)+~E(f13(x4151),f13(x4152))
% 0.82/0.92 [416]E(x4161,x4162)+~E(f16(x4161),f16(x4162))
% 0.82/0.92 [417]E(x4171,x4172)+~E(f20(x4171),f20(x4172))
% 0.82/0.92 [421]~E(f28(x4211,x4212),f14(x4212))+E(x4211,f14(x4212))
% 0.82/0.92 [422]~P33(x4222)+P33(f53(x4221,x4222))
% 0.82/0.92 [423]~P34(x4232)+P34(f53(x4231,x4232))
% 0.82/0.92 [430]~P7(x4301,x4302)+P7(f28(x4301,x4302),x4302)
% 0.82/0.92 [431]~P5(x4312)+E(f8(x4311,x4311,x4312),f5(x4312))
% 0.82/0.92 [433]~P17(x4332)+E(f7(x4331,x4331,x4332),f5(x4332))
% 0.82/0.92 [434]~P18(x4342)+E(f7(x4341,x4341,x4342),f5(x4342))
% 0.82/0.92 [450]P7(x4501,x4502)+~P7(f28(x4501,x4502),x4502)
% 0.82/0.92 [486]P8(x4861,x4862,a3)+P8(x4862,f13(x4861),a3)
% 0.82/0.92 [488]P12(x4881,x4882,a3)+P12(f13(x4882),x4881,a3)
% 0.82/0.92 [506]~P8(x5061,x5062,a3)+E(f8(x5061,x5062,a3),x5061)
% 0.82/0.92 [507]~P12(x5071,x5072,a3)+E(f7(x5071,x5072,a3),f5(a3))
% 0.82/0.92 [511]P12(x5111,x5112,a3)+~E(f7(x5111,x5112,a3),f5(a3))
% 0.82/0.92 [512]~P8(x5121,x5122,a3)+P8(x5121,f13(x5122),a3)
% 0.82/0.92 [513]~P12(x5131,x5132,a3)+P8(x5131,f13(x5132),a3)
% 0.82/0.92 [515]~P12(x5151,x5152,a3)+P12(x5151,f13(x5152),a3)
% 0.82/0.92 [517]~P8(x5171,x5172,a3)+P12(f13(x5171),x5172,a3)
% 0.82/0.92 [521]P12(x5211,x5212,a3)+~P8(x5211,f13(x5212),a3)
% 0.82/0.92 [522]P8(x5221,x5222,a3)+~P8(f13(x5221),x5222,a3)
% 0.82/0.92 [524]P8(x5241,x5242,a3)+~P12(f13(x5241),x5242,a3)
% 0.82/0.92 [525]P12(x5251,x5252,a3)+~P12(f13(x5251),x5252,a3)
% 0.82/0.92 [533]~P8(x5331,x5332,a3)+P8(f13(x5331),f13(x5332),a3)
% 0.82/0.92 [534]~P12(x5341,x5342,a3)+P12(f13(x5341),f13(x5342),a3)
% 0.82/0.92 [544]P8(x5441,x5442,a3)+~P8(f13(x5441),f13(x5442),a3)
% 0.82/0.92 [545]P12(x5451,x5452,a3)+~P12(f13(x5451),f13(x5452),a3)
% 0.82/0.92 [560]~P8(x5601,x5602,a3)+~P8(x5602,f13(x5601),a3)
% 0.82/0.92 [561]~P12(x5611,x5612,a3)+~P12(f13(x5612),x5611,a3)
% 0.82/0.92 [620]~P8(x6202,x6201,a3)+P8(f5(a3),f7(x6201,x6202,a3),a3)
% 0.82/0.92 [621]P8(f8(x6211,x6212,a3),x6212,a3)+~P8(f5(a3),x6212,a3)
% 0.82/0.92 [622]P12(f8(x6221,x6222,a3),x6222,a3)+~P8(f5(a3),x6222,a3)
% 0.82/0.92 [644]P8(x6441,x6442,a3)+~P8(f5(a3),f7(x6442,x6441,a3),a3)
% 0.82/0.92 [424]E(x4241,f14(x4242))+~E(f33(x4241,f50(x4242)),f5(a3))
% 0.82/0.92 [435]~P32(x4351)+E(f40(f40(f12(x4351),x4352),f5(x4351)),x4352)
% 0.82/0.92 [436]~P20(x4361)+E(f40(f40(f12(x4361),x4362),f5(x4361)),x4362)
% 0.82/0.92 [437]~P28(x4371)+E(f40(f40(f12(x4371),x4372),f5(x4371)),x4372)
% 0.82/0.92 [438]~P5(x4382)+E(f8(x4381,f5(x4382),x4382),x4381)
% 0.82/0.92 [439]~P17(x4392)+E(f7(x4391,f5(x4392),x4392),x4391)
% 0.82/0.92 [440]~P5(x4402)+E(f8(x4401,f6(x4402),x4402),f5(x4402))
% 0.82/0.92 [441]~P5(x4411)+E(f8(f5(x4411),x4412,x4411),f5(x4411))
% 0.82/0.92 [469]E(x4691,f14(x4692))+P8(f5(a3),f33(x4691,f50(x4692)),a3)
% 0.82/0.92 [558]~P2(x5582)+P8(x5581,f40(f40(f12(x5582),x5581),f6(x5582)),x5582)
% 0.82/0.92 [607]~P36(f40(f40(a18,x6071),x6072))+P36(f40(f40(a18,f20(x6071)),f20(x6072)))
% 0.82/0.92 [608]~E(f13(f8(x6081,x6082,a3)),x6082)+E(f8(f13(x6081),x6082,a3),f5(a3))
% 0.82/0.92 [619]~P12(x6192,x6191,a3)+E(f7(x6191,f7(x6191,x6192,a3),a3),x6192)
% 0.82/0.92 [624]~P12(x6242,x6241,a3)+E(f13(f7(x6241,x6242,a3)),f7(f13(x6241),x6242,a3))
% 0.82/0.92 [625]~P8(f5(a3),x6251,a3)+P8(f7(x6251,f13(x6252),a3),x6251,a3)
% 0.82/0.92 [630]P8(x6301,x6302,a3)+E(f8(f7(x6301,x6302,a3),x6302,a3),f8(x6301,x6302,a3))
% 0.82/0.92 [637]E(f13(f8(x6371,x6372,a3)),x6372)+E(f13(f8(x6371,x6372,a3)),f8(f13(x6371),x6372,a3))
% 0.82/0.92 [640]~P12(x6402,x6401,a3)+E(f8(f7(x6401,x6402,a3),x6402,a3),f8(x6401,x6402,a3))
% 0.82/0.92 [820]~P28(x8201)+E(f27(f10(f12(x8201),x8201,x8201,x8201),f5(x8201),f28(x8202,x8201),x8201,x8201),f27(f12(x8201),f5(x8201),x8202,x8201,x8201))
% 0.82/0.92 [443]~P32(x4431)+E(f40(f40(f12(x4431),f5(x4431)),x4432),x4432)
% 0.82/0.92 [444]~P20(x4441)+E(f40(f40(f12(x4441),f5(x4441)),x4442),x4442)
% 0.82/0.92 [445]~P28(x4451)+E(f40(f40(f12(x4451),f5(x4451)),x4452),x4452)
% 0.82/0.92 [505]~P8(x5051,x5052,a3)+E(f40(f40(a24,f16(x5051)),x5052),f16(x5051))
% 0.82/0.92 [598]~P36(f40(a15,x5981))+P36(f40(a15,f40(f40(a24,x5981),x5982)))
% 0.82/0.92 [617]~P36(f40(a15,x6171))+P36(f40(a15,f40(f40(a17,x6171),f16(x6172))))
% 0.82/0.92 [642]~P36(f40(x6421,x6422))+P36(f40(x6421,f8(x6422,f5(a3),a3)))
% 0.82/0.92 [711]P36(f40(x7111,x7112))+~P36(f40(x7111,f8(x7112,f5(a3),a3)))
% 0.82/0.92 [718]P36(f40(f40(f41(a18,a51),f20(x7181)),f20(x7182)))+~P36(f40(f40(f41(a18,a51),x7181),x7182))
% 0.82/0.92 [834]~P11(a15,x8342,a51)+P36(f40(a15,f27(a17,f16(x8341),x8342,a51,a51)))
% 0.82/0.92 [453]E(x4531,x4532)+~P13(x4531,x4532,x4533)
% 0.82/0.92 [425]E(x4251,x4252)+~E(f28(x4251,x4253),f28(x4252,x4253))
% 0.82/0.92 [457]~E(f22(x4573,x4571,x4572),x4573)+E(x4571,f14(x4572))
% 0.82/0.92 [458]~E(f22(x4581,x4583,x4582),x4583)+E(x4581,f14(x4582))
% 0.82/0.92 [463]~E(f29(x4631,x4632,x4633),f14(x4633))+E(x4631,f5(a3))
% 0.82/0.92 [466]~E(f22(x4663,x4661,x4662),f14(x4662))+E(x4661,f14(x4662))
% 0.82/0.92 [467]~E(f35(x4673,x4671,x4672),f14(x4672))+E(x4671,f14(x4672))
% 0.82/0.92 [468]~E(f22(x4681,x4683,x4682),f14(x4682))+E(x4681,f14(x4682))
% 0.82/0.92 [480]~P10(x4801,f16(x4802),x4803)+E(f40(x4801,x4802),x4803)
% 0.82/0.92 [518]~P7(x5182,x5183)+P7(f21(x5181,x5182,x5183),x5183)
% 0.82/0.92 [519]~P7(x5192,x5193)+P7(f34(x5191,x5192,x5193),x5193)
% 0.82/0.92 [520]~P7(x5202,x5203)+P7(f35(x5201,x5202,x5203),x5203)
% 0.82/0.92 [591]P7(x5911,x5912)+~P7(f22(x5913,x5911,x5912),x5912)
% 0.82/0.92 [592]P7(x5921,x5922)+~P7(f22(x5921,x5923,x5922),x5922)
% 0.82/0.92 [593]P7(x5931,x5932)+~P7(f26(x5933,x5931,x5932),x5932)
% 0.82/0.92 [594]P7(x5941,x5942)+~P7(f35(x5943,x5941,x5942),x5942)
% 0.82/0.92 [618]~P8(x6181,x6183,a3)+P8(f7(x6181,x6182,a3),x6183,a3)
% 0.82/0.92 [670]~P12(x6701,x6703,a3)+P12(f7(x6701,x6702,a3),f7(x6703,x6702,a3),a3)
% 0.82/0.92 [671]~P12(x6713,x6712,a3)+P12(f7(x6711,x6712,a3),f7(x6711,x6713,a3),a3)
% 0.82/0.92 [809]~E(f16(x8092),f27(a17,x8093,x8091,a51,a51))+E(x8091,f14(a51))
% 0.82/0.92 [810]~E(f20(x8102),f27(a17,x8103,x8101,a51,a51))+E(x8101,f14(a51))
% 0.82/0.92 [811]~E(f27(a17,x8112,x8111,a51,a51),f20(x8113))+E(x8111,f14(a51))
% 0.82/0.92 [812]E(x8121,f20(x8122))+~E(f27(a17,x8121,x8123,a51,a51),f20(x8122))
% 0.82/0.92 [813]E(f16(x8131),x8132)+~E(f16(x8131),f27(a17,x8132,x8133,a51,a51))
% 0.82/0.92 [814]E(f20(x8141),x8142)+~E(f20(x8141),f27(a17,x8142,x8143,a51,a51))
% 0.82/0.92 [823]E(x8231,x8232)+~E(f27(a17,x8231,x8233,a51,a51),f27(a17,x8232,x8233,a51,a51))
% 0.82/0.92 [563]~E(f28(x5631,x5633),f26(x5632,f14(x5633),x5633))+E(x5631,f26(x5632,f14(x5633),x5633))
% 0.82/0.92 [564]~E(f26(x5642,f14(x5643),x5643),f28(x5641,x5643))+E(x5641,f26(x5642,f14(x5643),x5643))
% 0.82/0.92 [580]~E(f21(x5803,x5801,x5802),f14(x5802))+P12(f33(x5801,f50(x5802)),x5803,a3)
% 0.82/0.92 [584]E(f34(x5841,x5842,x5843),x5842)+~P12(f33(x5842,f50(x5843)),x5841,a3)
% 0.82/0.92 [585]E(f21(x5851,x5852,x5853),f14(x5853))+~P12(f33(x5852,f50(x5853)),x5851,a3)
% 0.82/0.92 [590]E(f35(x5901,x5902,x5903),x5902)+~P12(f33(x5902,f50(x5903)),f6(a3),a3)
% 0.82/0.92 [603]~P5(x6033)+E(f8(f8(x6031,x6032,x6033),x6032,x6033),f8(x6031,x6032,x6033))
% 0.82/0.92 [737]E(f31(x7371,x7372,x7373,x7373),x7372)+~E(f40(x7371,f36(x7371,x7372,x7373)),f36(x7371,x7372,x7373))
% 0.82/0.92 [815]E(f40(f40(a17,x8151),x8152),x8153)+~E(f40(f40(a17,x8151),x8152),f27(a17,x8153,f14(a51),a51,a51))
% 0.82/0.92 [819]~P21(x8191)+E(f27(f10(f12(x8191),x8191,x8191,x8191),x8192,f28(x8193,x8191),x8191,x8191),f27(f12(x8191),x8192,x8193,x8191,x8191))
% 0.82/0.92 [846]~P36(f40(f40(a18,x8461),x8463))+P36(f40(f40(a18,f27(a17,x8461,x8462,a51,a51)),f27(a17,x8463,x8462,a51,a51)))
% 0.82/0.92 [848]~P9(a18,x8482,x8483,a51)+P36(f40(f40(a18,f27(a17,x8481,x8482,a51,a51)),f27(a17,x8481,x8483,a51,a51)))
% 0.82/0.92 [482]~P32(x4821)+E(f40(f40(f12(x4821),x4822),x4823),f40(f40(f12(x4821),x4823),x4822))
% 0.82/0.92 [483]~P20(x4831)+E(f40(f40(f12(x4831),x4832),x4833),f40(f40(f12(x4831),x4833),x4832))
% 0.82/0.92 [586]E(f35(x5861,x5862,x5863),x5862)+~E(f8(x5861,f33(x5862,f50(x5863)),a3),f5(a3))
% 0.82/0.92 [636]~P17(x6361)+E(f40(f40(f12(x6361),f7(x6362,x6363,x6361)),x6363),x6362)
% 0.82/0.92 [725]~P8(x7253,f33(x7251,f50(x7252)),a3)+E(f30(x7251,f7(f33(x7251,f50(x7252)),f13(x7253),a3),x7252),f30(f28(x7251,x7252),x7253,x7252))
% 0.82/0.92 [726]~P8(x7262,f33(x7261,f50(x7263)),a3)+E(f26(f30(x7261,x7262,x7263),f21(f13(x7262),x7261,x7263),x7263),f21(x7262,x7261,x7263))
% 0.82/0.92 [753]~P36(f40(f40(a18,x7531),x7533))+P36(f40(f40(a18,f40(f40(a17,x7531),x7532)),f40(f40(a17,x7533),x7532)))
% 0.82/0.92 [754]~P36(f40(f40(a18,x7542),x7543))+P36(f40(f40(a18,f40(f40(a17,x7541),x7542)),f40(f40(a17,x7541),x7543)))
% 0.82/0.92 [755]~P36(f40(f40(a18,x7551),x7553))+P36(f40(f40(a18,f40(f40(a24,x7551),x7552)),f40(f40(a24,x7553),x7552)))
% 0.82/0.92 [763]~P8(x7631,f33(x7632,f50(x7633)),a3)+E(f22(f34(x7631,x7632,x7633),f26(f30(x7632,x7631,x7633),f14(x7633),x7633),x7633),f34(f13(x7631),x7632,x7633))
% 0.82/0.92 [778]~P36(f40(f40(f41(a18,a51),x7781),x7783))+P36(f40(f40(f41(a18,a51),f40(f40(a17,x7781),x7782)),f40(f40(a17,x7783),x7782)))
% 0.82/0.92 [779]~P36(f40(f40(f41(a18,a51),x7792),x7793))+P36(f40(f40(f41(a18,a51),f40(f40(a17,x7791),x7792)),f40(f40(a17,x7791),x7793)))
% 0.82/0.92 [780]~P36(f40(f40(f41(a18,a51),x7801),x7803))+P36(f40(f40(f41(a18,a51),f40(f40(a24,x7801),x7802)),f40(f40(a24,x7803),x7802)))
% 0.82/0.92 [822]~P28(x8221)+E(f40(f40(f12(x8221),x8222),f27(f12(x8221),f5(x8221),x8223,x8221,x8221)),f27(f12(x8221),x8222,x8223,x8221,x8221))
% 0.82/0.92 [833]~P28(x8331)+E(f40(f40(f12(x8331),x8332),f27(f10(f12(x8331),x8331,x8331,x8331),f5(x8331),f28(x8333,x8331),x8331,x8331)),f27(f12(x8331),x8332,x8333,x8331,x8331))
% 0.82/0.92 [847]P36(f40(f40(f41(a18,a51),f27(a17,x8471,x8472,a51,a51)),f27(a17,x8473,x8472,a51,a51)))+~P36(f40(f40(f41(a18,a51),x8471),x8473))
% 0.82/0.92 [547]~P17(x5471)+E(f7(f40(f40(f12(x5471),x5472),x5473),x5473,x5471),x5472)
% 0.82/0.92 [583]~P8(x5831,x5833,a3)+E(f40(f40(f40(a23,f16(x5831)),x5832),x5833),f16(x5831))
% 0.82/0.92 [599]~P5(x5991)+E(f8(f40(f40(f12(x5991),x5992),x5993),x5993,x5991),f8(x5992,x5993,x5991))
% 0.82/0.92 [600]~P5(x6001)+E(f8(f40(f40(f12(x6001),x6002),x6003),x6002,x6001),f8(x6003,x6002,x6001))
% 0.82/0.92 [646]~P8(x6463,x6461,a3)+E(f40(f40(f40(a23,f16(x6461)),x6462),x6463),f16(f7(x6461,f6(a3),a3)))
% 0.82/0.92 [696]~E(f34(f33(x6961,f50(x6962)),x6963,x6962),x6961)+E(f22(x6961,f21(f33(x6961,f50(x6962)),x6963,x6962),x6962),x6963)
% 0.82/0.92 [719]~P36(f40(a15,x7191))+P36(f40(a15,f40(f40(f40(a23,x7191),f16(x7192)),x7193)))
% 0.82/0.92 [785]~P8(x7851,f33(x7852,f50(x7853)),a3)+E(f22(f34(x7851,x7852,x7853),f26(f30(x7852,x7851,x7853),f21(f13(x7851),x7852,x7853),x7853),x7853),x7852)
% 0.82/0.92 [849]P9(a18,x8491,f25(x8492,x8491,x8493),a51)+~P36(f40(f40(a18,f27(a17,f16(x8492),x8491,a51,a51)),x8493))
% 0.82/0.92 [851]E(f27(a17,f16(x8511),f25(x8511,x8512,x8513),a51,a51),x8513)+~P36(f40(f40(a18,f27(a17,f16(x8511),x8512,a51,a51)),x8513))
% 0.82/0.92 [551]E(x5511,x5512)+~E(f22(x5513,x5511,x5514),f22(x5513,x5512,x5514))
% 0.82/0.92 [552]E(x5521,x5522)+~E(f22(x5521,x5523,x5524),f22(x5522,x5523,x5524))
% 0.82/0.92 [648]P11(x6481,x6482,x6483)+~P11(x6481,f22(x6484,x6482,x6483),x6483)
% 0.82/0.92 [649]P11(x6491,x6492,x6493)+~P11(x6491,f22(x6492,x6494,x6493),x6493)
% 0.82/0.92 [701]~E(f31(x7013,x7011,x7012,x7014),f14(x7014))+E(x7011,f14(x7012))
% 0.82/0.92 [702]~E(f32(x7021,x7023,x7024,x7022),f14(x7022))+E(x7021,f14(x7022))
% 0.82/0.92 [775]P7(x7751,x7752)+~P7(f31(x7753,x7751,x7752,x7754),x7754)
% 0.82/0.92 [830]P14(x8301,x8302,f45(x8303,x8301,x8304,x8302))+~P10(x8301,f27(a17,x8304,x8302,a51,a51),x8303)
% 0.82/0.92 [831]P14(x8311,x8312,f46(x8313,x8311,x8314,x8312))+~P10(x8311,f27(a17,x8314,x8312,a51,a51),x8313)
% 0.82/0.92 [494]E(x4941,x4942)+~E(f40(f40(a17,x4943),x4941),f40(f40(a17,x4944),x4942))
% 0.82/0.92 [495]E(x4951,x4952)+~E(f40(f40(a43,x4953),x4951),f40(f40(a43,x4954),x4952))
% 0.82/0.92 [496]E(x4961,x4962)+~E(f40(f40(a17,x4961),x4963),f40(f40(a17,x4962),x4964))
% 0.82/0.92 [497]E(x4971,x4972)+~E(f40(f40(a43,x4971),x4973),f40(f40(a43,x4972),x4974))
% 0.82/0.92 [596]~E(f19(x5964,a3),f5(a3))+E(f30(f26(x5961,x5962,x5963),f19(x5964,a3),x5963),x5961)
% 0.82/0.92 [597]~E(f19(x5971,a3),f5(a3))+E(f34(f19(x5971,a3),f26(x5972,x5973,x5974),x5974),f14(x5974))
% 0.82/0.92 [623]~P8(x6234,x6231,a3)+E(f30(f29(x6231,x6232,x6233),x6234,x6233),x6232)
% 0.82/0.92 [629]~E(f19(x6291,a3),f5(a3))+E(f21(f19(x6291,a3),f26(x6292,x6293,x6294),x6294),f26(x6292,x6293,x6294))
% 0.82/0.92 [643]~P8(x6434,x6431,a3)+E(f30(f34(x6431,x6432,x6433),x6434,x6433),f30(x6432,x6434,x6433))
% 0.82/0.92 [686]~P8(x6864,f33(x6861,f50(x6863)),a3)+E(f30(f22(x6861,x6862,x6863),x6864,x6863),f30(x6861,x6864,x6863))
% 0.82/0.92 [697]E(f32(x6971,x6972,x6973,x6974),x6971)+~P12(f33(x6971,f50(x6974)),x6972,a3)
% 0.82/0.92 [762]~P8(x7622,f33(x7621,f50(x7624)),a3)+E(f30(f32(x7621,x7622,x7623,x7624),x7622,x7624),x7623)
% 0.82/0.92 [768]P10(x7681,x7682,f44(x7683,x7681,x7684,x7682))+~P10(x7681,f40(f40(a17,x7684),x7682),x7683)
% 0.82/0.92 [790]P10(x7901,f20(x7902),f40(f40(a43,x7903),x7904))+~P10(f42(x7901,f5(a3),x7903,a52),x7902,x7904)
% 0.82/0.92 [825]E(x8251,x8252)+~E(f27(a17,f16(x8253),x8251,a51,a51),f27(a17,f16(x8254),x8252,a51,a51))
% 0.82/0.92 [826]E(x8261,x8262)+~E(f27(a17,f20(x8263),x8261,a51,a51),f27(a17,f20(x8264),x8262,a51,a51))
% 0.82/0.92 [827]E(x8271,x8272)+~E(f27(a17,f16(x8271),x8273,a51,a51),f27(a17,f16(x8272),x8274,a51,a51))
% 0.82/0.92 [828]E(x8281,x8282)+~E(f27(a17,f20(x8281),x8283,a51,a51),f27(a17,f20(x8282),x8284,a51,a51))
% 0.82/0.92 [832]P14(x8321,x8322,f47(x8323,x8321,x8324,x8322))+~P10(x8321,f27(a17,f16(x8324),x8322,a51,a51),x8323)
% 0.82/0.92 [647]~E(f28(x6471,x6473),f26(x6474,x6472,x6473))+E(x6471,f22(f28(x6472,x6473),f26(x6474,f14(x6473),x6473),x6473))
% 0.82/0.92 [650]~P36(f40(f40(x6501,x6503),x6504))+P36(f40(f40(f41(x6501,x6502),x6503),x6504))
% 0.82/0.92 [665]E(x6651,f5(a3))+E(f21(x6651,f26(x6652,x6653,x6654),x6654),f21(f7(x6651,f6(a3),a3),x6653,x6654))
% 0.82/0.92 [666]E(x6661,f5(a3))+E(f30(f26(x6662,x6663,x6664),x6661,x6664),f30(x6663,f7(x6661,f6(a3),a3),x6664))
% 0.82/0.92 [741]~P6(x7414)+E(f8(f7(x7411,f8(x7412,x7413,x7414),x7414),x7413,x7414),f8(f7(x7411,x7412,x7414),x7413,x7414))
% 0.82/0.92 [742]~P6(x7423)+E(f8(f7(f8(x7421,x7422,x7423),x7424,x7423),x7422,x7423),f8(f7(x7421,x7424,x7423),x7422,x7423))
% 0.82/0.92 [772]~P6(x7723)+E(f8(f7(f8(x7721,x7722,x7723),f8(x7724,x7722,x7723),x7723),x7722,x7723),f8(f7(x7721,x7724,x7723),x7722,x7723))
% 0.82/0.92 [799]~P8(x7993,f33(x7991,f50(x7992)),a3)+E(f32(f28(x7991,x7992),f7(f7(f33(x7991,f50(x7992)),x7993,a3),f6(a3),a3),x7994,x7992),f28(f32(x7991,x7993,x7994,x7992),x7992))
% 0.82/0.92 [817]~P10(x8171,f40(f40(a17,x8172),x8174),x8173)+P10(x8171,x8172,f40(f40(a43,f44(x8173,x8171,x8172,x8174)),x8173))
% 0.82/0.92 [841]~P10(x8411,f27(a17,x8412,x8414,a51,a51),x8413)+P10(x8411,x8412,f27(f10(a43,a52,a52,a52),x8413,f28(f45(x8413,x8411,x8412,x8414),a52),a52,a52))
% 0.82/0.92 [842]~P10(x8421,f27(a17,x8422,x8424,a51,a51),x8423)+P10(x8421,x8422,f27(f10(a43,a52,a52,a52),x8423,f28(f46(x8423,x8421,x8422,x8424),a52),a52,a52))
% 0.82/0.92 [843]~P10(x8431,f27(a17,f16(x8432),x8434,a51,a51),x8433)+P10(x8431,f16(x8432),f27(f10(a43,a52,a52,a52),x8433,f28(f47(x8433,x8431,x8432,x8434),a52),a52,a52))
% 0.82/0.92 [651]~P18(x6511)+E(f40(f40(f12(x6511),x6512),f40(f40(f12(x6511),x6513),x6514)),f40(f40(f12(x6511),x6513),f40(f40(f12(x6511),x6512),x6514)))
% 0.82/0.92 [652]~P32(x6521)+E(f40(f40(f12(x6521),x6522),f40(f40(f12(x6521),x6523),x6524)),f40(f40(f12(x6521),x6523),f40(f40(f12(x6521),x6522),x6524)))
% 0.82/0.92 [653]~P20(x6531)+E(f40(f40(f12(x6531),x6532),f40(f40(f12(x6531),x6533),x6534)),f40(f40(f12(x6531),x6533),f40(f40(f12(x6531),x6532),x6534)))
% 0.82/0.92 [730]P8(x7302,f33(x7303,f50(x7304)),a3)+E(f30(x7301,f7(x7302,f33(x7303,f50(x7304)),a3),x7304),f30(f22(x7303,x7301,x7304),x7302,x7304))
% 0.82/0.92 [739]~P5(x7391)+E(f8(f40(f40(f12(x7391),x7392),f8(x7393,x7394,x7391)),x7394,x7391),f8(f40(f40(f12(x7391),x7392),x7393),x7394,x7391))
% 0.82/0.92 [743]E(x7431,f5(a3))+E(f26(x7432,f34(f7(x7431,f6(a3),a3),x7433,x7434),x7434),f34(x7431,f26(x7432,x7433,x7434),x7434))
% 0.82/0.92 [770]~P5(x7701)+E(f8(f40(f40(f12(x7701),f8(x7702,x7703,x7701)),x7704),x7703,x7701),f8(f40(f40(f12(x7701),x7702),x7704),x7703,x7701))
% 0.82/0.92 [786]~P8(x7861,f33(x7862,f50(x7863)),a3)+E(f22(f34(x7861,x7862,x7863),f26(x7864,f21(f13(x7861),x7862,x7863),x7863),x7863),f32(x7862,x7861,x7864,x7863))
% 0.82/0.92 [788]~P5(x7881)+E(f8(f40(f40(f12(x7881),f8(x7882,x7883,x7881)),f8(x7884,x7883,x7881)),x7883,x7881),f8(f40(f40(f12(x7881),x7882),x7884),x7883,x7881))
% 0.82/0.92 [796]~P36(f40(f40(a18,x7961),x7964))+P36(f40(f40(a18,f40(f40(f40(a23,x7961),x7962),x7963)),f40(f40(f40(a23,x7964),x7962),x7963)))
% 0.82/0.92 [797]~P36(f40(f40(a18,x7972),x7974))+P36(f40(f40(f41(a18,a51),f40(f40(f40(a23,x7971),x7972),x7973)),f40(f40(f40(a23,x7971),x7974),x7973)))
% 0.82/0.92 [800]~P36(f40(f40(f41(a18,a51),x8001),x8004))+P36(f40(f40(f41(a18,a51),f40(f40(f40(a23,x8001),x8002),x8003)),f40(f40(f40(a23,x8004),x8002),x8003)))
% 0.82/0.92 [801]~P36(f40(f40(f41(a18,a51),x8012),x8014))+P36(f40(f40(f41(a18,a51),f40(f40(f40(a23,x8011),x8012),x8013)),f40(f40(f40(a23,x8011),x8014),x8013)))
% 0.82/0.92 [824]~P31(x8241)+E(f27(f12(x8241),f40(f40(f12(x8241),x8242),x8243),x8244,x8241,x8241),f40(f40(f12(x8241),x8242),f27(f12(x8241),x8243,x8244,x8241,x8241)))
% 0.82/0.92 [708]~P32(x7081)+E(f40(f40(f12(x7081),f40(f40(f12(x7081),x7082),x7083)),x7084),f40(f40(f12(x7081),x7082),f40(f40(f12(x7081),x7083),x7084)))
% 0.82/0.92 [709]~P20(x7091)+E(f40(f40(f12(x7091),f40(f40(f12(x7091),x7092),x7093)),x7094),f40(f40(f12(x7091),x7092),f40(f40(f12(x7091),x7093),x7094)))
% 0.82/0.92 [710]~P21(x7101)+E(f40(f40(f12(x7101),f40(f40(f12(x7101),x7102),x7103)),x7104),f40(f40(f12(x7101),x7102),f40(f40(f12(x7101),x7103),x7104)))
% 0.82/0.92 [736]~P32(x7361)+E(f40(f40(f12(x7361),f40(f40(f12(x7361),x7362),x7363)),x7364),f40(f40(f12(x7361),f40(f40(f12(x7361),x7362),x7364)),x7363))
% 0.82/0.92 [550]E(x5501,x5502)+~E(f26(x5503,x5501,x5504),f26(x5505,x5502,x5504))
% 0.82/0.92 [553]E(x5531,x5532)+~E(f26(x5531,x5533,x5534),f26(x5532,x5535,x5534))
% 0.82/0.92 [554]E(x5541,x5542)+~E(f29(x5541,x5543,x5544),f29(x5542,x5545,x5544))
% 0.82/0.92 [604]~E(f21(x6042,x6041,x6043),f26(x6044,x6045,x6043))+E(f30(x6041,x6042,x6043),x6044)
% 0.82/0.92 [781]~P9(x7811,x7812,x7815,x7814)+P9(x7811,f22(x7812,x7813,x7814),f22(x7815,x7813,x7814),x7814)
% 0.82/0.92 [782]~P9(x7821,x7823,x7825,x7824)+P9(x7821,f22(x7822,x7823,x7824),f22(x7822,x7825,x7824),x7824)
% 0.82/0.92 [783]~P9(x7831,x7833,x7835,x7834)+P9(x7831,f26(x7832,x7833,x7834),f26(x7832,x7835,x7834),x7834)
% 0.82/0.92 [747]P9(x7471,f26(x7472,x7473,x7474),f26(x7475,x7473,x7474),x7474)+~P36(f40(f40(x7471,x7472),x7475))
% 0.82/0.92 [748]E(x7481,x7482)+E(f30(f32(x7483,x7481,x7484,x7485),x7482,x7485),f30(x7483,x7482,x7485))
% 0.82/0.92 [749]~P8(x7495,x7492,a3)+E(f40(f42(x7491,x7492,x7493,x7494),x7495),f40(x7491,x7495))
% 0.82/0.92 [764]~P10(x7641,x7644,x7645)+P10(f42(x7641,x7642,x7643,a52),f40(f40(a24,x7644),x7642),x7645)
% 0.82/0.92 [776]~P8(x7765,f33(x7762,f50(x7763)),a3)+E(f30(f31(x7761,x7762,x7763,x7764),x7765,x7764),f40(x7761,f30(x7762,x7765,x7763)))
% 0.82/0.92 [777]~E(f31(x7774,x7771,x7772,x7775),f31(x7774,x7773,x7772,x7775))+E(f33(x7771,f50(x7772)),f33(x7773,f50(x7772)))
% 0.82/0.92 [792]~P8(x7924,f33(x7921,f50(x7923)),a3)+E(f32(f22(x7921,x7922,x7923),x7924,x7925,x7923),f22(f32(x7921,x7924,x7925,x7923),x7922,x7923))
% 0.82/0.92 [838]E(f31(x8381,x8382,x8383,x8384),f31(x8385,x8382,x8383,x8384))+~E(f40(x8381,f37(x8381,x8385,x8382,x8383,x8384)),f40(x8385,f37(x8381,x8385,x8382,x8383,x8384)))
% 0.82/0.92 [839]E(f31(x8391,x8392,x8393,x8394),f31(x8395,x8392,x8393,x8394))+~E(f40(x8391,f38(x8391,x8395,x8392,x8393,x8394)),f40(x8395,f38(x8391,x8395,x8392,x8393,x8394)))
% 0.82/0.92 [840]E(f31(x8401,x8402,x8403,x8404),f31(x8405,x8402,x8403,x8404))+~E(f40(x8401,f39(x8401,x8405,x8402,x8403,x8404)),f40(x8405,f39(x8401,x8405,x8402,x8403,x8404)))
% 0.82/0.92 [744]E(x7441,x7442)+~E(f22(x7443,f26(x7441,f14(x7444),x7444),x7444),f22(x7445,f26(x7442,f14(x7444),x7444),x7444))
% 0.82/0.92 [745]E(x7451,x7452)+~E(f22(x7451,f26(x7453,f14(x7454),x7454),x7454),f22(x7452,f26(x7455,f14(x7454),x7454),x7454))
% 0.82/0.92 [765]~P8(x7652,x7655,a3)+E(f40(f42(x7651,x7652,x7653,x7654),x7655),f40(x7651,f7(x7655,f6(a3),a3)))
% 0.82/0.92 [821]~P14(x8211,x8214,x8215)+P14(f42(x8211,x8212,x8213,a52),f31(f40(f10(a24,a51,a3,a51),x8212),x8214,a51,a51),x8215)
% 0.82/0.92 [766]~P32(x7661)+E(f40(f40(f12(x7661),f40(f40(f12(x7661),x7662),x7663)),f40(f40(f12(x7661),x7664),x7665)),f40(f40(f12(x7661),f40(f40(f12(x7661),x7662),x7664)),f40(f40(f12(x7661),x7663),x7665)))
% 0.82/0.92 [798]P8(x7983,f33(x7981,f50(x7984)),a3)+E(f22(x7981,f32(x7982,f7(x7983,f33(x7981,f50(x7984)),a3),x7985,x7984),x7984),f32(f22(x7981,x7982,x7984),x7983,x7985,x7984))
% 0.82/0.92 [805]E(x8051,x8052)+E(f32(f32(x8053,x8051,x8054,x8055),x8052,x8056,x8055),f32(f32(x8053,x8052,x8056,x8055),x8051,x8054,x8055))
% 0.82/0.92 [829]~E(f11(x8291,x8292,x8296,x8297,x8298),f11(x8294,x8295,x8299,x8297,x8298))+E(f40(x8291,f40(x8292,x8293)),f40(x8294,f40(x8295,x8293)))
% 0.82/0.92 [835]~E(f40(x8351,f40(x8352,x8356)),f40(x8357,f40(x8358,x83511)))+E(f40(f11(x8351,x8352,x8353,x8354,x8355),x8356),f40(f11(x8357,x8358,x8359,x8354,x83510),x83511))
% 0.82/0.92 [581]~P24(x5811)+~P12(f5(x5811),f5(x5811),x5811)+E(f40(f40(f12(x5811),f5(x5811)),f5(x5811)),f5(x5811))
% 0.82/0.92 [479]E(x4791,x4792)+P8(x4792,x4791,a3)+P8(x4791,x4792,a3)
% 0.82/0.92 [510]E(x5101,x5102)+P8(x5101,x5102,a3)+~P12(x5101,x5102,a3)
% 0.82/0.92 [549]E(x5491,x5492)+~P12(x5492,x5491,a3)+~P12(x5491,x5492,a3)
% 0.82/0.92 [446]~P30(x4462)+~P15(x4462)+E(f7(x4461,x4461,x4462),f5(x4462))
% 0.82/0.92 [528]~P8(x5281,x5282,a3)+E(f13(x5281),x5282)+P8(f13(x5281),x5282,a3)
% 0.82/0.92 [529]E(x5291,x5292)+P8(x5292,x5291,a3)+~P8(x5292,f13(x5291),a3)
% 0.82/0.92 [531]E(x5311,x5312)+P8(x5311,x5312,a3)+~P8(x5311,f13(x5312),a3)
% 0.82/0.92 [543]P12(x5431,x5432,a3)+E(x5431,f13(x5432))+~P12(x5431,f13(x5432),a3)
% 0.82/0.92 [559]E(x5591,x5592)+~E(f7(x5592,x5591,a3),f5(a3))+~E(f7(x5591,x5592,a3),f5(a3))
% 0.82/0.92 [565]E(x5651,x5652)+~P12(x5652,x5651,a3)+~P8(x5651,f13(x5652),a3)
% 0.82/0.92 [668]P8(f7(x6681,x6682,a3),x6681,a3)+~P8(f5(a3),x6682,a3)+~P8(f5(a3),x6681,a3)
% 0.82/0.92 [447]~P30(x4471)+~P15(x4471)+E(f40(f40(f12(x4471),x4472),f5(x4471)),x4472)
% 0.82/0.92 [470]~P4(x4702)+E(x4701,f5(x4702))+~E(f40(f40(f12(x4702),x4701),x4701),f5(x4702))
% 0.82/0.92 [631]~P4(x6311)+~P8(f5(x6311),x6312,x6311)+P8(f5(x6311),f40(f40(f12(x6311),x6312),x6312),x6311)
% 0.82/0.92 [632]~P4(x6321)+~P12(f5(x6321),x6322,x6321)+P12(f5(x6321),f40(f40(f12(x6321),x6322),x6322),x6321)
% 0.82/0.92 [633]~P3(x6331)+~P8(x6332,f5(x6331),x6331)+P8(f40(f40(f12(x6331),x6332),x6332),f5(x6331),x6331)
% 0.82/0.92 [634]~P4(x6341)+~P8(x6342,f5(x6341),x6341)+P8(f40(f40(f12(x6341),x6342),x6342),f5(x6341),x6341)
% 0.82/0.92 [635]~P4(x6351)+~P12(x6352,f5(x6351),x6351)+P12(f40(f40(f12(x6351),x6352),x6352),f5(x6351),x6351)
% 0.82/0.92 [658]~P3(x6582)+P8(x6581,f5(x6582),x6582)+~P8(f40(f40(f12(x6582),x6581),x6581),f5(x6582),x6582)
% 0.82/0.92 [659]~P4(x6592)+P8(x6591,f5(x6592),x6592)+~P8(f40(f40(f12(x6592),x6591),x6591),f5(x6592),x6592)
% 0.82/0.92 [660]~P4(x6602)+P12(x6601,f5(x6602),x6602)+~P12(f40(f40(f12(x6602),x6601),x6601),f5(x6602),x6602)
% 0.82/0.92 [661]~P4(x6611)+P8(f5(x6611),x6612,x6611)+~P8(f5(x6611),f40(f40(f12(x6611),x6612),x6612),x6611)
% 0.82/0.92 [662]~P4(x6621)+P12(f5(x6621),x6622,x6621)+~P12(f5(x6621),f40(f40(f12(x6621),x6622),x6622),x6621)
% 0.82/0.92 [491]P12(x4912,x4911,x4913)+~P35(x4913)+P8(x4911,x4912,x4913)
% 0.82/0.92 [493]P12(x4932,x4931,x4933)+~P35(x4933)+P12(x4931,x4932,x4933)
% 0.82/0.92 [526]~P33(x5263)+~P8(x5261,x5262,x5263)+P12(x5261,x5262,x5263)
% 0.82/0.92 [527]~P34(x5273)+~P8(x5271,x5272,x5273)+P12(x5271,x5272,x5273)
% 0.82/0.92 [567]~P8(x5673,x5672,x5671)+~P33(x5671)+~P8(x5672,x5673,x5671)
% 0.82/0.92 [568]~P12(x5683,x5682,x5681)+~P33(x5681)+~P8(x5682,x5683,x5681)
% 0.82/0.92 [569]~P8(x5693,x5692,x5691)+~P34(x5691)+~P8(x5692,x5693,x5691)
% 0.82/0.92 [570]~P8(x5703,x5702,x5701)+~P35(x5701)+~P8(x5702,x5703,x5701)
% 0.82/0.92 [572]~P12(x5723,x5722,x5721)+~P35(x5721)+~P8(x5722,x5723,x5721)
% 0.82/0.92 [601]~P12(x6011,x6013,a3)+P12(x6011,x6012,a3)+~P12(x6013,x6012,a3)
% 0.82/0.92 [471]~E(f34(x4713,x4711,x4712),f14(x4712))+E(x4711,f14(x4712))+E(x4713,f5(a3))
% 0.82/0.92 [472]~P17(x4723)+E(x4721,x4722)+~E(f7(x4721,x4722,x4723),f5(x4723))
% 0.82/0.92 [473]~P18(x4733)+E(x4731,x4732)+~E(f7(x4731,x4732,x4733),f5(x4733))
% 0.82/0.92 [605]~P8(x6051,x6053,a3)+~P8(x6053,x6052,a3)+P8(f13(x6051),x6052,a3)
% 0.82/0.92 [627]~P27(x6273)+~P8(x6271,x6272,x6273)+P8(f7(x6271,x6272,x6273),f5(x6273),x6273)
% 0.82/0.92 [628]~P27(x6283)+~P12(x6281,x6282,x6283)+P12(f7(x6281,x6282,x6283),f5(x6283),x6283)
% 0.82/0.92 [663]~P27(x6633)+P8(x6631,x6632,x6633)+~P8(f7(x6631,x6632,x6633),f5(x6633),x6633)
% 0.82/0.92 [664]~P27(x6643)+P12(x6641,x6642,x6643)+~P12(f7(x6641,x6642,x6643),f5(x6643),x6643)
% 0.82/0.92 [712]~P8(x7121,x7123,a3)+~P12(x7122,x7121,a3)+P8(f7(x7121,x7122,a3),f7(x7123,x7122,a3),a3)
% 0.82/0.92 [713]~P8(x7133,x7132,a3)+~P8(x7133,x7131,a3)+P8(f7(x7131,x7132,a3),f7(x7131,x7133,a3),a3)
% 0.82/0.92 [727]~P12(x7272,x7273,a3)+~P12(x7272,x7271,a3)+E(f7(f7(x7271,x7272,a3),f7(x7273,x7272,a3),a3),f7(x7271,x7273,a3))
% 0.82/0.92 [731]~P8(x7312,x7313,a3)+~P36(f40(x7311,f7(x7312,x7313,a3)))+P36(f40(x7311,f5(a3)))
% 0.82/0.92 [548]E(x5481,x5482)+P8(x5482,x5481,a3)+E(f40(f40(f40(a23,f16(x5481)),x5483),x5482),f16(x5481))
% 0.82/0.92 [845]~P36(f40(a15,x8452))+~P36(f40(a15,f27(a17,f40(f40(f40(a23,x8451),x8452),f5(a3)),x8453,a51,a51)))+P36(f40(a15,f27(a17,f40(f40(a17,f20(x8451)),x8452),x8453,a51,a51)))
% 0.82/0.92 [574]~P18(x5744)+E(x5741,x5742)+~E(f7(x5743,x5743,x5744),f7(x5741,x5742,x5744))
% 0.82/0.92 [575]~P18(x5753)+E(x5751,x5752)+~E(f7(x5751,x5752,x5753),f7(x5754,x5754,x5753))
% 0.82/0.92 [667]~P11(x6671,x6673,x6674)+~P11(x6671,x6672,x6674)+P11(x6671,f22(x6672,x6673,x6674),x6674)
% 0.82/0.92 [626]P10(x6261,x6262,x6263)+~P10(x6261,x6264,x6263)+~P36(f40(f40(a18,x6264),x6262))
% 0.82/0.92 [746]~E(f32(x7461,x7462,x7464,x7463),x7461)+E(f30(x7461,x7462,x7463),x7464)+~P8(x7462,f33(x7461,f50(x7463)),a3)
% 0.82/0.92 [555]~P22(x5553)+E(x5551,x5552)+~E(f40(f40(f12(x5553),x5554),x5551),f40(f40(f12(x5553),x5554),x5552))
% 0.82/0.92 [556]~P23(x5563)+E(x5561,x5562)+~E(f40(f40(f12(x5563),x5564),x5561),f40(f40(f12(x5563),x5564),x5562))
% 0.82/0.92 [557]~P23(x5573)+E(x5571,x5572)+~E(f40(f40(f12(x5573),x5571),x5574),f40(f40(f12(x5573),x5572),x5574))
% 0.82/0.92 [674]~P25(x6741)+~P8(x6742,x6744,x6741)+P8(f40(f40(f12(x6741),x6742),x6743),f40(f40(f12(x6741),x6744),x6743),x6741)
% 0.82/0.92 [675]~P29(x6751)+~P8(x6752,x6754,x6751)+P8(f40(f40(f12(x6751),x6752),x6753),f40(f40(f12(x6751),x6754),x6753),x6751)
% 0.82/0.92 [676]~P25(x6761)+~P8(x6763,x6764,x6761)+P8(f40(f40(f12(x6761),x6762),x6763),f40(f40(f12(x6761),x6762),x6764),x6761)
% 0.82/0.92 [677]~P29(x6771)+~P8(x6773,x6774,x6771)+P8(f40(f40(f12(x6771),x6772),x6773),f40(f40(f12(x6771),x6772),x6774),x6771)
% 0.82/0.92 [678]~P25(x6781)+~P12(x6782,x6784,x6781)+P12(f40(f40(f12(x6781),x6782),x6783),f40(f40(f12(x6781),x6784),x6783),x6781)
% 0.82/0.92 [679]~P26(x6791)+~P12(x6792,x6794,x6791)+P12(f40(f40(f12(x6791),x6792),x6793),f40(f40(f12(x6791),x6794),x6793),x6791)
% 0.82/0.92 [680]~P25(x6801)+~P12(x6803,x6804,x6801)+P12(f40(f40(f12(x6801),x6802),x6803),f40(f40(f12(x6801),x6802),x6804),x6801)
% 0.82/0.92 [681]~P26(x6811)+~P12(x6813,x6814,x6811)+P12(f40(f40(f12(x6811),x6812),x6813),f40(f40(f12(x6811),x6812),x6814),x6811)
% 0.82/0.92 [699]P10(x6991,x6992,x6993)+~P10(x6991,x6994,x6993)+~P36(f40(f40(f41(a18,a51),x6994),x6992))
% 0.82/0.92 [721]~P25(x7213)+P8(x7211,x7212,x7213)+~P8(f40(f40(f12(x7213),x7214),x7211),f40(f40(f12(x7213),x7214),x7212),x7213)
% 0.82/0.92 [722]~P25(x7223)+P8(x7221,x7222,x7223)+~P8(f40(f40(f12(x7223),x7221),x7224),f40(f40(f12(x7223),x7222),x7224),x7223)
% 0.82/0.92 [723]~P25(x7233)+P12(x7231,x7232,x7233)+~P12(f40(f40(f12(x7233),x7234),x7231),f40(f40(f12(x7233),x7234),x7232),x7233)
% 0.82/0.92 [724]~P25(x7243)+P12(x7241,x7242,x7243)+~P12(f40(f40(f12(x7243),x7241),x7244),f40(f40(f12(x7243),x7242),x7244),x7243)
% 0.82/0.92 [794]~P36(f40(f40(f41(a18,a51),x7941),x7943))+~P36(f40(f40(f41(a18,a51),x7942),x7944))+P36(f40(f40(f41(a18,a51),f40(f40(a17,x7941),x7942)),f40(f40(a17,x7943),x7944)))
% 0.82/0.92 [784]P12(f33(x7843,f50(x7842)),f33(x7841,f50(x7842)),a3)+~E(f34(f33(x7841,f50(x7842)),x7843,x7842),x7841)+E(f22(x7841,f22(f21(f33(x7841,f50(x7842)),x7843,x7842),x7844,x7842),x7842),f22(x7843,x7844,x7842))
% 0.82/0.92 [787]~P12(f33(x7871,f50(x7872)),f33(x7873,f50(x7872)),a3)+~E(f34(f33(x7871,f50(x7872)),x7873,x7872),x7871)+E(f22(x7871,f22(f21(f33(x7871,f50(x7872)),x7873,x7872),x7874,x7872),x7872),f22(x7873,x7874,x7872))
% 0.82/0.92 [562]E(x5621,x5622)+~E(f29(x5623,x5621,x5624),f29(x5625,x5622,x5624))+E(x5623,f5(a3))
% 0.82/0.92 [705]~P10(x7051,x7053,x7055)+~P10(x7051,x7052,f40(f40(a43,x7055),x7054))+P10(x7051,f40(f40(a17,x7052),x7053),x7054)
% 0.82/0.92 [836]E(x8361,x8362)+~P10(x8363,f27(a17,f16(x8364),x8365,a51,a51),x8361)+~P10(x8363,f27(a17,f16(x8364),x8365,a51,a51),x8362)
% 0.82/0.92 [837]~P14(x8371,x8373,x8375)+P10(x8371,f27(a17,x8372,x8373,a51,a51),x8374)+~P10(x8371,x8372,f27(f10(a43,a52,a52,a52),x8374,f28(x8375,a52),a52,a52))
% 0.82/0.92 [698]~E(f22(x6983,x6984,x6982),f22(x6981,x6985,x6982))+P12(f33(x6983,f50(x6982)),f33(x6981,f50(x6982)),a3)+E(f34(f33(x6981,f50(x6982)),x6983,x6982),x6981)
% 0.82/0.92 [720]~E(f22(x7201,x7204,x7202),f22(x7203,x7205,x7202))+~P12(f33(x7201,f50(x7202)),f33(x7203,f50(x7202)),a3)+E(f34(f33(x7201,f50(x7202)),x7203,x7202),x7201)
% 0.82/0.92 [750]~P36(f40(f40(x7501,x7505),x7504))+~P36(f40(f40(f41(x7501,x7502),x7503),x7505))+P36(f40(f40(f41(x7501,x7502),x7503),x7504))
% 0.82/0.92 [751]~P36(f40(f40(x7511,x7513),x7515))+~P36(f40(f40(f41(x7511,x7512),x7515),x7514))+P36(f40(f40(f41(x7511,x7512),x7513),x7514))
% 0.82/0.92 [773]~P36(f40(f40(f41(x7731,x7732),x7733),x7735))+P36(f40(f40(f41(x7731,x7732),x7733),x7734))+~P36(f40(f40(f41(x7731,x7732),x7735),x7734))
% 0.82/0.92 [695]~P18(x6951)+E(f40(f40(f12(x6951),x6952),x6953),x6954)+~E(f40(f40(f12(x6951),x6952),f40(f40(f12(x6951),x6955),x6953)),f40(f40(f12(x6951),x6955),x6954))
% 0.82/0.92 [740]~E(f22(x7403,x7404,x7402),f22(x7401,x7405,x7402))+P12(f33(x7403,f50(x7402)),f33(x7401,f50(x7402)),a3)+E(f22(f21(f33(x7401,f50(x7402)),x7403,x7402),x7404,x7402),x7405)
% 0.82/0.92 [752]~E(f22(x7522,x7521,x7523),f22(x7524,x7525,x7523))+~P12(f33(x7522,f50(x7523)),f33(x7524,f50(x7523)),a3)+E(x7521,f22(f21(f33(x7522,f50(x7523)),x7524,x7523),x7525,x7523))
% 0.82/0.92 [767]E(x7671,x7672)+E(x7673,x7674)+~P9(x7675,f26(x7674,x7672,x7676),f26(x7673,x7671,x7676),x7676)
% 0.82/0.92 [789]E(x7891,x7892)+P9(x7893,x7891,x7892,x7894)+~P9(x7893,f26(x7895,x7891,x7894),f26(x7896,x7892,x7894),x7894)
% 0.82/0.92 [774]E(x7741,x7742)+~P9(x7743,f26(x7742,x7744,x7745),f26(x7741,x7746,x7745),x7745)+P36(f40(f40(x7743,x7742),x7741))
% 0.82/0.92 [793]P9(x7931,x7932,x7933,x7934)+~P9(x7931,f26(x7935,x7932,x7934),f26(x7936,x7933,x7934),x7934)+P36(f40(f40(x7931,x7935),x7936))
% 0.82/0.92 [795]~P10(x7951,x7953,x7956)+~P10(f42(x7951,x7954,x7956,a52),x7952,x7955)+P10(x7951,f40(f40(f40(a23,x7952),x7953),x7954),x7955)
% 0.82/0.92 [804]E(x8041,x8042)+E(x8043,x8044)+~P9(x8045,f22(x8043,f26(x8041,f14(x8046),x8046),x8046),f22(x8044,f26(x8042,f14(x8046),x8046),x8046),x8046)
% 0.82/0.92 [806]E(x8061,x8062)+~P9(x8063,f22(x8064,f26(x8061,f14(x8065),x8065),x8065),f22(x8066,f26(x8062,f14(x8065),x8065),x8065),x8065)+P36(f40(f40(x8063,x8061),x8062))
% 0.82/0.92 [807]E(x8071,x8072)+P9(x8073,x8071,x8072,x8074)+~P9(x8073,f22(x8071,f26(x8075,f14(x8074),x8074),x8074),f22(x8072,f26(x8076,f14(x8074),x8074),x8074),x8074)
% 0.82/0.92 [808]P9(x8081,x8082,x8083,x8084)+~P9(x8081,f22(x8082,f26(x8085,f14(x8084),x8084),x8084),f22(x8083,f26(x8086,f14(x8084),x8084),x8084),x8084)+P36(f40(f40(x8081,x8085),x8086))
% 0.82/0.92 [844]~P10(x8441,x8442,x8446)+~P14(f42(x8441,x8443,x8446,a52),x8444,x8445)+P14(x8441,f31(f40(f10(f40(f10(a23,a51,a51,f53(a3,a51)),x8442),a51,a3,a51),x8443),x8444,a51,a51),x8445)
% 0.82/0.92 [498]P8(x4981,x4982,x4983)+~P3(x4983)+E(x4981,x4982)+P8(x4982,x4981,x4983)
% 0.82/0.92 [502]P8(x5021,x5022,x5023)+~P35(x5023)+E(x5021,x5022)+P8(x5022,x5021,x5023)
% 0.82/0.92 [540]~P34(x5403)+~P12(x5401,x5402,x5403)+E(x5401,x5402)+P8(x5401,x5402,x5403)
% 0.82/0.92 [542]~P35(x5423)+~P12(x5421,x5422,x5423)+E(x5421,x5422)+P8(x5421,x5422,x5423)
% 0.82/0.92 [579]~P12(x5792,x5791,x5793)+~P12(x5791,x5792,x5793)+E(x5791,x5792)+~P34(x5793)
% 0.82/0.92 [587]P12(x5872,x5871,x5873)+~P33(x5873)+~P12(x5871,x5872,x5873)+P8(x5871,x5872,x5873)
% 0.82/0.92 [427]~P15(x4273)+~P19(x4273)+E(x4271,x4272)+~E(f19(x4271,x4273),f19(x4272,x4273))
% 0.82/0.92 [477]~P30(x4773)+~P15(x4773)+E(x4771,x4772)+~E(f7(x4771,x4772,x4773),f5(x4773))
% 0.82/0.92 [669]E(x6691,x6692)+~P12(x6693,x6692,a3)+~P12(x6693,x6691,a3)+~E(f7(x6691,x6693,a3),f7(x6692,x6693,a3))
% 0.82/0.92 [756]~P12(x7563,x7561,a3)+P8(x7561,x7562,a3)+~P12(x7563,x7562,a3)+~P8(f7(x7561,x7563,a3),f7(x7562,x7563,a3),a3)
% 0.82/0.92 [757]~P12(x7573,x7571,a3)+P12(x7571,x7572,a3)+~P12(x7573,x7572,a3)+~P12(f7(x7571,x7573,a3),f7(x7572,x7573,a3),a3)
% 0.82/0.92 [474]~P30(x4742)+~P15(x4742)+E(x4741,f5(x4742))+~E(f40(f40(f12(x4742),x4743),x4741),x4743)
% 0.82/0.92 [687]~P24(x6871)+~P8(f5(x6871),x6873,x6871)+~P8(f5(x6871),x6872,x6871)+P8(f5(x6871),f40(f40(f12(x6871),x6872),x6873),x6871)
% 0.82/0.92 [688]~P24(x6881)+~P8(f5(x6881),x6883,x6881)+~P12(f5(x6881),x6882,x6881)+P8(f5(x6881),f40(f40(f12(x6881),x6882),x6883),x6881)
% 0.82/0.92 [689]~P24(x6891)+~P8(f5(x6891),x6892,x6891)+~P12(f5(x6891),x6893,x6891)+P8(f5(x6891),f40(f40(f12(x6891),x6892),x6893),x6891)
% 0.82/0.92 [690]~P24(x6901)+~P12(f5(x6901),x6903,x6901)+~P12(f5(x6901),x6902,x6901)+P12(f5(x6901),f40(f40(f12(x6901),x6902),x6903),x6901)
% 0.82/0.92 [691]~P24(x6911)+~P8(x6913,f5(x6911),x6911)+~P8(x6912,f5(x6911),x6911)+P8(f40(f40(f12(x6911),x6912),x6913),f5(x6911),x6911)
% 0.82/0.92 [692]~P24(x6921)+~P8(x6923,f5(x6921),x6921)+~P12(x6922,f5(x6921),x6921)+P8(f40(f40(f12(x6921),x6922),x6923),f5(x6921),x6921)
% 0.82/0.92 [693]~P24(x6931)+~P8(x6932,f5(x6931),x6931)+~P12(x6933,f5(x6931),x6931)+P8(f40(f40(f12(x6931),x6932),x6933),f5(x6931),x6931)
% 0.82/0.92 [694]~P24(x6941)+~P12(x6943,f5(x6941),x6941)+~P12(x6942,f5(x6941),x6941)+P12(f40(f40(f12(x6941),x6942),x6943),f5(x6941),x6941)
% 0.82/0.92 [609]~P33(x6093)+~P8(x6091,x6094,x6093)+P8(x6091,x6092,x6093)+~P8(x6094,x6092,x6093)
% 0.82/0.92 [610]~P33(x6103)+~P12(x6101,x6104,x6103)+P8(x6101,x6102,x6103)+~P8(x6104,x6102,x6103)
% 0.82/0.92 [611]~P33(x6113)+~P12(x6114,x6112,x6113)+P8(x6111,x6112,x6113)+~P8(x6111,x6114,x6113)
% 0.82/0.92 [612]~P34(x6123)+~P8(x6121,x6124,x6123)+P8(x6121,x6122,x6123)+~P8(x6124,x6122,x6123)
% 0.82/0.92 [613]~P34(x6133)+~P12(x6131,x6134,x6133)+P8(x6131,x6132,x6133)+~P8(x6134,x6132,x6133)
% 0.82/0.92 [614]~P34(x6143)+~P12(x6144,x6142,x6143)+P8(x6141,x6142,x6143)+~P8(x6141,x6144,x6143)
% 0.82/0.92 [615]~P33(x6153)+~P12(x6151,x6154,x6153)+P12(x6151,x6152,x6153)+~P12(x6154,x6152,x6153)
% 0.82/0.92 [616]~P34(x6163)+~P12(x6161,x6164,x6163)+P12(x6161,x6162,x6163)+~P12(x6164,x6162,x6163)
% 0.82/0.92 [576]~P30(x5763)+~P15(x5763)+E(x5761,x5762)+~E(f40(f40(f12(x5763),x5764),x5761),f40(f40(f12(x5763),x5764),x5762))
% 0.82/0.92 [672]~P2(x6722)+~P8(x6721,x6724,x6722)+~P8(f5(x6722),x6723,x6722)+P8(x6721,f40(f40(f12(x6722),x6723),x6724),x6722)
% 0.82/0.92 [816]~E(f34(f33(x8161,f50(x8162)),x8163,x8162),x8161)+~E(f34(f33(x8163,f50(x8162)),x8161,x8162),x8163)+~E(f22(f21(f33(x8163,f50(x8162)),x8161,x8162),f22(f21(f33(x8161,f50(x8162)),x8163,x8162),x8164,x8162),x8162),x8164)+E(f22(x8161,f22(f21(f33(x8161,f50(x8162)),x8163,x8162),x8164,x8162),x8162),f22(x8163,x8164,x8162))
% 0.82/0.92 [654]~P27(x6543)+~P8(x6544,x6545,x6543)+P8(x6541,x6542,x6543)+~E(f7(x6544,x6545,x6543),f7(x6541,x6542,x6543))
% 0.82/0.92 [655]~P27(x6553)+~P8(x6554,x6555,x6553)+P8(x6551,x6552,x6553)+~E(f7(x6551,x6552,x6553),f7(x6554,x6555,x6553))
% 0.82/0.92 [656]~P27(x6563)+~P12(x6565,x6564,x6563)+P12(x6561,x6562,x6563)+~E(f7(x6564,x6565,x6563),f7(x6562,x6561,x6563))
% 0.82/0.92 [657]~P27(x6573)+~P12(x6575,x6574,x6573)+P12(x6571,x6572,x6573)+~E(f7(x6572,x6571,x6573),f7(x6574,x6575,x6573))
% 0.82/0.92 [714]~P29(x7141)+~P8(x7143,x7145,x7141)+~P8(x7142,x7144,x7141)+P8(f40(f40(f12(x7141),x7142),x7143),f40(f40(f12(x7141),x7144),x7145),x7141)
% 0.82/0.92 [715]~P29(x7151)+~P8(x7153,x7155,x7151)+~P12(x7152,x7154,x7151)+P8(f40(f40(f12(x7151),x7152),x7153),f40(f40(f12(x7151),x7154),x7155),x7151)
% 0.82/0.92 [716]~P29(x7161)+~P8(x7162,x7164,x7161)+~P12(x7163,x7165,x7161)+P8(f40(f40(f12(x7161),x7162),x7163),f40(f40(f12(x7161),x7164),x7165),x7161)
% 0.82/0.92 [717]~P26(x7171)+~P12(x7173,x7175,x7171)+~P12(x7172,x7174,x7171)+P12(f40(f40(f12(x7171),x7172),x7173),f40(f40(f12(x7171),x7174),x7175),x7171)
% 0.82/0.92 [732]~P27(x7322)+~P12(x7325,x7324,x7322)+~P12(x7321,f40(f40(f12(x7322),x7323),x7325),x7322)+P12(x7321,f40(f40(f12(x7322),x7323),x7324),x7322)
% 0.82/0.92 [760]~P6(x7603)+~E(f8(x7601,x7604,x7603),f8(x7605,x7604,x7603))+~E(f8(x7602,x7604,x7603),f8(x7606,x7604,x7603))+E(f8(f7(x7601,x7602,x7603),x7604,x7603),f8(f7(x7605,x7606,x7603),x7604,x7603))
% 0.82/0.92 [758]~P5(x7581)+~E(f8(x7582,x7584,x7581),f8(x7585,x7584,x7581))+~E(f8(x7583,x7584,x7581),f8(x7586,x7584,x7581))+E(f8(f40(f40(f12(x7581),x7582),x7583),x7584,x7581),f8(f40(f40(f12(x7581),x7585),x7586),x7584,x7581))
% 0.82/0.92 [850]~P14(x8501,x8505,x8506)+P14(x8501,x8502,f48(x8503,x8504,x8501,x8502))+~P10(x8501,f27(a17,f16(x8507),x8505,a51,a51),x8504)+~P10(x8501,f27(a17,f27(a17,f16(x8507),x8505,a51,a51),x8502,a51,a51),x8503)
% 0.82/0.92 [852]~P14(x8523,x8525,x8526)+~P10(x8523,f27(a17,f16(x8527),x8525,a51,a51),x8522)+~P10(x8523,f27(a17,f27(a17,f16(x8527),x8525,a51,a51),x8524,a51,a51),x8521)+E(f27(f10(a43,a52,a52,a52),x8521,f28(f48(x8521,x8522,x8523,x8524),a52),a52,a52),x8522)
% 0.82/0.92 [638]~P24(x6382)+~P12(f5(x6382),x6381,x6382)+~P12(f5(x6382),x6383,x6382)+E(x6381,f5(x6382))+~E(f40(f40(f12(x6382),x6383),x6381),f5(x6382))
% 0.82/0.92 [639]~P24(x6392)+~P12(f5(x6392),x6393,x6392)+~P12(f5(x6392),x6391,x6392)+E(x6391,f5(x6392))+~E(f40(f40(f12(x6392),x6391),x6393),f5(x6392))
% 0.82/0.92 [729]~P7(x7293,x7294)+E(x7291,x7292)+~E(f30(x7293,x7291,x7294),f30(x7293,x7292,x7294))+~P8(x7292,f33(x7293,f50(x7294)),a3)+~P8(x7291,f33(x7293,f50(x7294)),a3)
% 0.82/0.92 [682]~P20(x6822)+~P25(x6822)+~P8(x6821,x6824,x6822)+~P12(f5(x6822),x6823,x6822)+P8(x6821,f40(f40(f12(x6822),x6823),x6824),x6822)
% 0.82/0.92 [683]~P20(x6832)+~P25(x6832)+~P12(x6831,x6834,x6832)+~P8(f5(x6832),x6833,x6832)+P8(x6831,f40(f40(f12(x6832),x6833),x6834),x6832)
% 0.82/0.92 [684]~P20(x6842)+~P25(x6842)+~P12(x6841,x6844,x6842)+~P12(f5(x6842),x6843,x6842)+P12(x6841,f40(f40(f12(x6842),x6843),x6844),x6842)
% 0.82/0.92 [685]~P20(x6852)+~P25(x6852)+~P12(x6851,x6853,x6852)+~P12(f5(x6852),x6854,x6852)+P12(x6851,f40(f40(f12(x6852),x6853),x6854),x6852)
% 0.82/0.92 [802]~P10(x8026,x8022,x8025)+~P10(f42(x8026,x8023,x8025,a52),x8021,x8027)+~P36(f40(a15,x8022))+~P36(f40(a15,x8021))+~E(f40(f40(a43,x8024),x8025),a55)+P36(f40(a15,f40(f40(f40(a23,x8021),x8022),x8023)))
% 0.82/0.92 [803]~P10(x8036,x8032,x8034)+~P10(f42(x8036,x8033,x8034,a52),x8031,x8037)+~P36(f40(a15,x8032))+~P36(f40(a15,x8031))+~E(f40(f40(a43,x8034),x8035),a55)+P36(f40(a15,f40(f40(f40(a23,x8031),x8032),x8033)))
% 0.82/0.92 %EqnAxiom
% 0.82/0.92 [1]E(x11,x11)
% 0.82/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.82/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.82/0.92 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.82/0.92 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.82/0.92 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.82/0.92 [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 0.82/0.92 [8]~E(x81,x82)+E(f40(x81,x83),f40(x82,x83))
% 0.82/0.92 [9]~E(x91,x92)+E(f40(x93,x91),f40(x93,x92))
% 0.82/0.92 [10]~E(x101,x102)+E(f28(x101,x103),f28(x102,x103))
% 0.82/0.92 [11]~E(x111,x112)+E(f28(x113,x111),f28(x113,x112))
% 0.82/0.92 [12]~E(x121,x122)+E(f50(x121),f50(x122))
% 0.82/0.92 [13]~E(x131,x132)+E(f22(x131,x133,x134),f22(x132,x133,x134))
% 0.82/0.92 [14]~E(x141,x142)+E(f22(x143,x141,x144),f22(x143,x142,x144))
% 0.82/0.92 [15]~E(x151,x152)+E(f22(x153,x154,x151),f22(x153,x154,x152))
% 0.82/0.92 [16]~E(x161,x162)+E(f12(x161),f12(x162))
% 0.82/0.92 [17]~E(x171,x172)+E(f16(x171),f16(x172))
% 0.82/0.92 [18]~E(x181,x182)+E(f7(x181,x183,x184),f7(x182,x183,x184))
% 0.82/0.92 [19]~E(x191,x192)+E(f7(x193,x191,x194),f7(x193,x192,x194))
% 0.82/0.92 [20]~E(x201,x202)+E(f7(x203,x204,x201),f7(x203,x204,x202))
% 0.82/0.92 [21]~E(x211,x212)+E(f41(x211,x213),f41(x212,x213))
% 0.82/0.92 [22]~E(x221,x222)+E(f41(x223,x221),f41(x223,x222))
% 0.82/0.92 [23]~E(x231,x232)+E(f27(x231,x233,x234,x235,x236),f27(x232,x233,x234,x235,x236))
% 0.82/0.92 [24]~E(x241,x242)+E(f27(x243,x241,x244,x245,x246),f27(x243,x242,x244,x245,x246))
% 0.82/0.92 [25]~E(x251,x252)+E(f27(x253,x254,x251,x255,x256),f27(x253,x254,x252,x255,x256))
% 0.82/0.92 [26]~E(x261,x262)+E(f27(x263,x264,x265,x261,x266),f27(x263,x264,x265,x262,x266))
% 0.82/0.92 [27]~E(x271,x272)+E(f27(x273,x274,x275,x276,x271),f27(x273,x274,x275,x276,x272))
% 0.82/0.92 [28]~E(x281,x282)+E(f33(x281,x283),f33(x282,x283))
% 0.82/0.92 [29]~E(x291,x292)+E(f33(x293,x291),f33(x293,x292))
% 0.82/0.92 [30]~E(x301,x302)+E(f34(x301,x303,x304),f34(x302,x303,x304))
% 0.82/0.92 [31]~E(x311,x312)+E(f34(x313,x311,x314),f34(x313,x312,x314))
% 0.82/0.92 [32]~E(x321,x322)+E(f34(x323,x324,x321),f34(x323,x324,x322))
% 0.82/0.92 [33]~E(x331,x332)+E(f30(x331,x333,x334),f30(x332,x333,x334))
% 0.82/0.92 [34]~E(x341,x342)+E(f30(x343,x341,x344),f30(x343,x342,x344))
% 0.82/0.92 [35]~E(x351,x352)+E(f30(x353,x354,x351),f30(x353,x354,x352))
% 0.82/0.92 [36]~E(x361,x362)+E(f21(x361,x363,x364),f21(x362,x363,x364))
% 0.82/0.92 [37]~E(x371,x372)+E(f21(x373,x371,x374),f21(x373,x372,x374))
% 0.82/0.92 [38]~E(x381,x382)+E(f21(x383,x384,x381),f21(x383,x384,x382))
% 0.82/0.92 [39]~E(x391,x392)+E(f26(x391,x393,x394),f26(x392,x393,x394))
% 0.82/0.92 [40]~E(x401,x402)+E(f26(x403,x401,x404),f26(x403,x402,x404))
% 0.82/0.92 [41]~E(x411,x412)+E(f26(x413,x414,x411),f26(x413,x414,x412))
% 0.82/0.92 [42]~E(x421,x422)+E(f8(x421,x423,x424),f8(x422,x423,x424))
% 0.82/0.92 [43]~E(x431,x432)+E(f8(x433,x431,x434),f8(x433,x432,x434))
% 0.82/0.92 [44]~E(x441,x442)+E(f8(x443,x444,x441),f8(x443,x444,x442))
% 0.82/0.92 [45]~E(x451,x452)+E(f19(x451,x453),f19(x452,x453))
% 0.82/0.92 [46]~E(x461,x462)+E(f19(x463,x461),f19(x463,x462))
% 0.82/0.92 [47]~E(x471,x472)+E(f29(x471,x473,x474),f29(x472,x473,x474))
% 0.82/0.92 [48]~E(x481,x482)+E(f29(x483,x481,x484),f29(x483,x482,x484))
% 0.82/0.92 [49]~E(x491,x492)+E(f29(x493,x494,x491),f29(x493,x494,x492))
% 0.82/0.92 [50]~E(x501,x502)+E(f37(x501,x503,x504,x505,x506),f37(x502,x503,x504,x505,x506))
% 0.82/0.92 [51]~E(x511,x512)+E(f37(x513,x511,x514,x515,x516),f37(x513,x512,x514,x515,x516))
% 0.82/0.92 [52]~E(x521,x522)+E(f37(x523,x524,x521,x525,x526),f37(x523,x524,x522,x525,x526))
% 0.82/0.92 [53]~E(x531,x532)+E(f37(x533,x534,x535,x531,x536),f37(x533,x534,x535,x532,x536))
% 0.82/0.92 [54]~E(x541,x542)+E(f37(x543,x544,x545,x546,x541),f37(x543,x544,x545,x546,x542))
% 0.82/0.92 [55]~E(x551,x552)+E(f31(x551,x553,x554,x555),f31(x552,x553,x554,x555))
% 0.82/0.92 [56]~E(x561,x562)+E(f31(x563,x561,x564,x565),f31(x563,x562,x564,x565))
% 0.82/0.92 [57]~E(x571,x572)+E(f31(x573,x574,x571,x575),f31(x573,x574,x572,x575))
% 0.82/0.92 [58]~E(x581,x582)+E(f31(x583,x584,x585,x581),f31(x583,x584,x585,x582))
% 0.82/0.92 [59]~E(x591,x592)+E(f9(x591,x593,x594),f9(x592,x593,x594))
% 0.82/0.92 [60]~E(x601,x602)+E(f9(x603,x601,x604),f9(x603,x602,x604))
% 0.82/0.92 [61]~E(x611,x612)+E(f9(x613,x614,x611),f9(x613,x614,x612))
% 0.82/0.92 [62]~E(x621,x622)+E(f44(x621,x623,x624,x625),f44(x622,x623,x624,x625))
% 0.82/0.92 [63]~E(x631,x632)+E(f44(x633,x631,x634,x635),f44(x633,x632,x634,x635))
% 0.82/0.92 [64]~E(x641,x642)+E(f44(x643,x644,x641,x645),f44(x643,x644,x642,x645))
% 0.82/0.92 [65]~E(x651,x652)+E(f44(x653,x654,x655,x651),f44(x653,x654,x655,x652))
% 0.82/0.92 [66]~E(x661,x662)+E(f10(x661,x663,x664,x665),f10(x662,x663,x664,x665))
% 0.82/0.92 [67]~E(x671,x672)+E(f10(x673,x671,x674,x675),f10(x673,x672,x674,x675))
% 0.82/0.92 [68]~E(x681,x682)+E(f10(x683,x684,x681,x685),f10(x683,x684,x682,x685))
% 0.82/0.92 [69]~E(x691,x692)+E(f10(x693,x694,x695,x691),f10(x693,x694,x695,x692))
% 0.82/0.92 [70]~E(x701,x702)+E(f32(x701,x703,x704,x705),f32(x702,x703,x704,x705))
% 0.82/0.92 [71]~E(x711,x712)+E(f32(x713,x711,x714,x715),f32(x713,x712,x714,x715))
% 0.82/0.92 [72]~E(x721,x722)+E(f32(x723,x724,x721,x725),f32(x723,x724,x722,x725))
% 0.82/0.92 [73]~E(x731,x732)+E(f32(x733,x734,x735,x731),f32(x733,x734,x735,x732))
% 0.82/0.92 [74]~E(x741,x742)+E(f20(x741),f20(x742))
% 0.82/0.92 [75]~E(x751,x752)+E(f11(x751,x753,x754,x755,x756),f11(x752,x753,x754,x755,x756))
% 0.82/0.92 [76]~E(x761,x762)+E(f11(x763,x761,x764,x765,x766),f11(x763,x762,x764,x765,x766))
% 0.82/0.92 [77]~E(x771,x772)+E(f11(x773,x774,x771,x775,x776),f11(x773,x774,x772,x775,x776))
% 0.82/0.92 [78]~E(x781,x782)+E(f11(x783,x784,x785,x781,x786),f11(x783,x784,x785,x782,x786))
% 0.82/0.92 [79]~E(x791,x792)+E(f11(x793,x794,x795,x796,x791),f11(x793,x794,x795,x796,x792))
% 0.82/0.92 [80]~E(x801,x802)+E(f38(x801,x803,x804,x805,x806),f38(x802,x803,x804,x805,x806))
% 0.82/0.92 [81]~E(x811,x812)+E(f38(x813,x811,x814,x815,x816),f38(x813,x812,x814,x815,x816))
% 0.82/0.92 [82]~E(x821,x822)+E(f38(x823,x824,x821,x825,x826),f38(x823,x824,x822,x825,x826))
% 0.82/0.92 [83]~E(x831,x832)+E(f38(x833,x834,x835,x831,x836),f38(x833,x834,x835,x832,x836))
% 0.82/0.92 [84]~E(x841,x842)+E(f38(x843,x844,x845,x846,x841),f38(x843,x844,x845,x846,x842))
% 0.82/0.92 [85]~E(x851,x852)+E(f42(x851,x853,x854,x855),f42(x852,x853,x854,x855))
% 0.82/0.92 [86]~E(x861,x862)+E(f42(x863,x861,x864,x865),f42(x863,x862,x864,x865))
% 0.82/0.92 [87]~E(x871,x872)+E(f42(x873,x874,x871,x875),f42(x873,x874,x872,x875))
% 0.82/0.92 [88]~E(x881,x882)+E(f42(x883,x884,x885,x881),f42(x883,x884,x885,x882))
% 0.82/0.92 [89]~E(x891,x892)+E(f35(x891,x893,x894),f35(x892,x893,x894))
% 0.82/0.92 [90]~E(x901,x902)+E(f35(x903,x901,x904),f35(x903,x902,x904))
% 0.82/0.92 [91]~E(x911,x912)+E(f35(x913,x914,x911),f35(x913,x914,x912))
% 0.82/0.92 [92]~E(x921,x922)+E(f39(x921,x923,x924,x925,x926),f39(x922,x923,x924,x925,x926))
% 0.82/0.92 [93]~E(x931,x932)+E(f39(x933,x931,x934,x935,x936),f39(x933,x932,x934,x935,x936))
% 0.82/0.92 [94]~E(x941,x942)+E(f39(x943,x944,x941,x945,x946),f39(x943,x944,x942,x945,x946))
% 0.82/0.92 [95]~E(x951,x952)+E(f39(x953,x954,x955,x951,x956),f39(x953,x954,x955,x952,x956))
% 0.82/0.92 [96]~E(x961,x962)+E(f39(x963,x964,x965,x966,x961),f39(x963,x964,x965,x966,x962))
% 0.82/0.92 [97]~E(x971,x972)+E(f46(x971,x973,x974,x975),f46(x972,x973,x974,x975))
% 0.82/0.92 [98]~E(x981,x982)+E(f46(x983,x981,x984,x985),f46(x983,x982,x984,x985))
% 0.82/0.92 [99]~E(x991,x992)+E(f46(x993,x994,x991,x995),f46(x993,x994,x992,x995))
% 0.82/0.92 [100]~E(x1001,x1002)+E(f46(x1003,x1004,x1005,x1001),f46(x1003,x1004,x1005,x1002))
% 0.82/0.92 [101]~E(x1011,x1012)+E(f25(x1011,x1013,x1014),f25(x1012,x1013,x1014))
% 0.82/0.92 [102]~E(x1021,x1022)+E(f25(x1023,x1021,x1024),f25(x1023,x1022,x1024))
% 0.82/0.92 [103]~E(x1031,x1032)+E(f25(x1033,x1034,x1031),f25(x1033,x1034,x1032))
% 0.82/0.92 [104]~E(x1041,x1042)+E(f47(x1041,x1043,x1044,x1045),f47(x1042,x1043,x1044,x1045))
% 0.82/0.92 [105]~E(x1051,x1052)+E(f47(x1053,x1051,x1054,x1055),f47(x1053,x1052,x1054,x1055))
% 0.82/0.92 [106]~E(x1061,x1062)+E(f47(x1063,x1064,x1061,x1065),f47(x1063,x1064,x1062,x1065))
% 0.82/0.92 [107]~E(x1071,x1072)+E(f47(x1073,x1074,x1075,x1071),f47(x1073,x1074,x1075,x1072))
% 0.82/0.92 [108]~E(x1081,x1082)+E(f36(x1081,x1083,x1084),f36(x1082,x1083,x1084))
% 0.82/0.92 [109]~E(x1091,x1092)+E(f36(x1093,x1091,x1094),f36(x1093,x1092,x1094))
% 0.82/0.92 [110]~E(x1101,x1102)+E(f36(x1103,x1104,x1101),f36(x1103,x1104,x1102))
% 0.82/0.92 [111]~E(x1111,x1112)+E(f53(x1111,x1113),f53(x1112,x1113))
% 0.82/0.92 [112]~E(x1121,x1122)+E(f53(x1123,x1121),f53(x1123,x1122))
% 0.82/0.92 [113]~E(x1131,x1132)+E(f48(x1131,x1133,x1134,x1135),f48(x1132,x1133,x1134,x1135))
% 0.82/0.92 [114]~E(x1141,x1142)+E(f48(x1143,x1141,x1144,x1145),f48(x1143,x1142,x1144,x1145))
% 0.82/0.92 [115]~E(x1151,x1152)+E(f48(x1153,x1154,x1151,x1155),f48(x1153,x1154,x1152,x1155))
% 0.82/0.92 [116]~E(x1161,x1162)+E(f48(x1163,x1164,x1165,x1161),f48(x1163,x1164,x1165,x1162))
% 0.82/0.92 [117]~E(x1171,x1172)+E(f45(x1171,x1173,x1174,x1175),f45(x1172,x1173,x1174,x1175))
% 0.82/0.92 [118]~E(x1181,x1182)+E(f45(x1183,x1181,x1184,x1185),f45(x1183,x1182,x1184,x1185))
% 0.82/0.92 [119]~E(x1191,x1192)+E(f45(x1193,x1194,x1191,x1195),f45(x1193,x1194,x1192,x1195))
% 0.82/0.92 [120]~E(x1201,x1202)+E(f45(x1203,x1204,x1205,x1201),f45(x1203,x1204,x1205,x1202))
% 0.82/0.92 [121]~P1(x1211)+P1(x1212)+~E(x1211,x1212)
% 0.82/0.92 [122]P10(x1222,x1223,x1224)+~E(x1221,x1222)+~P10(x1221,x1223,x1224)
% 0.82/0.92 [123]P10(x1233,x1232,x1234)+~E(x1231,x1232)+~P10(x1233,x1231,x1234)
% 0.82/0.92 [124]P10(x1243,x1244,x1242)+~E(x1241,x1242)+~P10(x1243,x1244,x1241)
% 0.82/0.92 [125]~P2(x1251)+P2(x1252)+~E(x1251,x1252)
% 0.82/0.92 [126]P9(x1262,x1263,x1264,x1265)+~E(x1261,x1262)+~P9(x1261,x1263,x1264,x1265)
% 0.82/0.92 [127]P9(x1273,x1272,x1274,x1275)+~E(x1271,x1272)+~P9(x1273,x1271,x1274,x1275)
% 0.82/0.92 [128]P9(x1283,x1284,x1282,x1285)+~E(x1281,x1282)+~P9(x1283,x1284,x1281,x1285)
% 0.82/0.92 [129]P9(x1293,x1294,x1295,x1292)+~E(x1291,x1292)+~P9(x1293,x1294,x1295,x1291)
% 0.82/0.92 [130]~P3(x1301)+P3(x1302)+~E(x1301,x1302)
% 0.82/0.92 [131]~P4(x1311)+P4(x1312)+~E(x1311,x1312)
% 0.82/0.92 [132]~P5(x1321)+P5(x1322)+~E(x1321,x1322)
% 0.82/0.92 [133]P12(x1332,x1333,x1334)+~E(x1331,x1332)+~P12(x1331,x1333,x1334)
% 0.82/0.92 [134]P12(x1343,x1342,x1344)+~E(x1341,x1342)+~P12(x1343,x1341,x1344)
% 0.82/0.92 [135]P12(x1353,x1354,x1352)+~E(x1351,x1352)+~P12(x1353,x1354,x1351)
% 0.82/0.92 [136]~P24(x1361)+P24(x1362)+~E(x1361,x1362)
% 0.82/0.92 [137]P8(x1372,x1373,x1374)+~E(x1371,x1372)+~P8(x1371,x1373,x1374)
% 0.82/0.92 [138]P8(x1383,x1382,x1384)+~E(x1381,x1382)+~P8(x1383,x1381,x1384)
% 0.82/0.92 [139]P8(x1393,x1394,x1392)+~E(x1391,x1392)+~P8(x1393,x1394,x1391)
% 0.82/0.92 [140]~P30(x1401)+P30(x1402)+~E(x1401,x1402)
% 0.82/0.92 [141]~P15(x1411)+P15(x1412)+~E(x1411,x1412)
% 0.82/0.92 [142]~P17(x1421)+P17(x1422)+~E(x1421,x1422)
% 0.82/0.92 [143]~P18(x1431)+P18(x1432)+~E(x1431,x1432)
% 0.82/0.92 [144]~P31(x1441)+P31(x1442)+~E(x1441,x1442)
% 0.82/0.92 [145]~P34(x1451)+P34(x1452)+~E(x1451,x1452)
% 0.82/0.92 [146]~P32(x1461)+P32(x1462)+~E(x1461,x1462)
% 0.82/0.92 [147]P7(x1472,x1473)+~E(x1471,x1472)+~P7(x1471,x1473)
% 0.82/0.92 [148]P7(x1483,x1482)+~E(x1481,x1482)+~P7(x1483,x1481)
% 0.82/0.92 [149]~P20(x1491)+P20(x1492)+~E(x1491,x1492)
% 0.82/0.92 [150]~P33(x1501)+P33(x1502)+~E(x1501,x1502)
% 0.82/0.92 [151]~P25(x1511)+P25(x1512)+~E(x1511,x1512)
% 0.82/0.92 [152]~P36(x1521)+P36(x1522)+~E(x1521,x1522)
% 0.82/0.92 [153]~P26(x1531)+P26(x1532)+~E(x1531,x1532)
% 0.82/0.92 [154]~P28(x1541)+P28(x1542)+~E(x1541,x1542)
% 0.82/0.92 [155]~P6(x1551)+P6(x1552)+~E(x1551,x1552)
% 0.82/0.92 [156]~P29(x1561)+P29(x1562)+~E(x1561,x1562)
% 0.82/0.92 [157]~P35(x1571)+P35(x1572)+~E(x1571,x1572)
% 0.82/0.92 [158]P14(x1582,x1583,x1584)+~E(x1581,x1582)+~P14(x1581,x1583,x1584)
% 0.82/0.92 [159]P14(x1593,x1592,x1594)+~E(x1591,x1592)+~P14(x1593,x1591,x1594)
% 0.82/0.92 [160]P14(x1603,x1604,x1602)+~E(x1601,x1602)+~P14(x1603,x1604,x1601)
% 0.82/0.92 [161]~P27(x1611)+P27(x1612)+~E(x1611,x1612)
% 0.82/0.92 [162]P11(x1622,x1623,x1624)+~E(x1621,x1622)+~P11(x1621,x1623,x1624)
% 0.82/0.92 [163]P11(x1633,x1632,x1634)+~E(x1631,x1632)+~P11(x1633,x1631,x1634)
% 0.82/0.92 [164]P11(x1643,x1644,x1642)+~E(x1641,x1642)+~P11(x1643,x1644,x1641)
% 0.82/0.92 [165]~P21(x1651)+P21(x1652)+~E(x1651,x1652)
% 0.82/0.92 [166]P13(x1662,x1663,x1664)+~E(x1661,x1662)+~P13(x1661,x1663,x1664)
% 0.82/0.92 [167]P13(x1673,x1672,x1674)+~E(x1671,x1672)+~P13(x1673,x1671,x1674)
% 0.82/0.92 [168]P13(x1683,x1684,x1682)+~E(x1681,x1682)+~P13(x1683,x1684,x1681)
% 0.82/0.92 [169]~P19(x1691)+P19(x1692)+~E(x1691,x1692)
% 0.82/0.92 [170]~P23(x1701)+P23(x1702)+~E(x1701,x1702)
% 0.82/0.92 [171]~P16(x1711)+P16(x1712)+~E(x1711,x1712)
% 0.82/0.92 [172]~P22(x1721)+P22(x1722)+~E(x1721,x1722)
% 0.82/0.92
% 0.82/0.92 %-------------------------------------------
% 0.82/0.92 cnf(853,plain,
% 0.82/0.92 ($false),
% 0.82/0.92 inference(scs_inference,[],[232,334,413,844]),
% 0.82/0.92 ['proof']).
% 0.82/0.93 % SZS output end Proof
% 0.82/0.93 % Total time :0.040000s
%------------------------------------------------------------------------------