TSTP Solution File: LCL786-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL786-1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:50:55 EDT 2023
% Result : Unsatisfiable 4.99s 5.08s
% Output : CNFRefutation 4.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL786-1 : 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
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 18:26:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 4.94/5.04 %-------------------------------------------
% 4.94/5.04 % File :CSE---1.6
% 4.94/5.04 % Problem :theBenchmark
% 4.94/5.04 % Transform :cnf
% 4.94/5.04 % Format :tptp:raw
% 4.94/5.04 % Command :java -jar mcs_scs.jar %d %s
% 4.94/5.04
% 4.94/5.04 % Result :Theorem 4.290000s
% 4.94/5.04 % Output :CNFRefutation 4.290000s
% 4.94/5.04 %-------------------------------------------
% 4.94/5.04 %------------------------------------------------------------------------------
% 4.94/5.04 % File : LCL786-1 : TPTP v8.1.2. Released v4.1.0.
% 4.94/5.04 % Domain : Logic Calculi
% 4.94/5.04 % Problem : Strong normalization of typed lambda calculus 125_13
% 4.94/5.04 % Version : Especial.
% 4.94/5.04 % English :
% 4.94/5.04
% 4.94/5.04 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 4.94/5.04 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 4.94/5.04 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 4.94/5.04 % Source : [Nip10]
% 4.94/5.04 % Names : StrongNorm-125_13 [Nip10]
% 4.94/5.04
% 4.94/5.04 % Status : Unsatisfiable
% 4.94/5.04 % Rating : 0.48 v8.1.0, 0.32 v7.5.0, 0.42 v7.4.0, 0.41 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.33 v6.4.0, 0.40 v6.3.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.50 v6.0.0, 0.60 v5.5.0, 0.80 v5.4.0, 0.85 v5.3.0, 0.83 v5.2.0, 0.81 v5.1.0, 0.82 v5.0.0, 0.86 v4.1.0
% 4.94/5.04 % Syntax : Number of clauses : 497 ( 199 unt; 59 nHn; 267 RR)
% 4.94/5.04 % Number of literals : 923 ( 426 equ; 398 neg)
% 4.94/5.04 % Maximal clause size : 6 ( 1 avg)
% 4.94/5.04 % Maximal term depth : 8 ( 2 avg)
% 4.94/5.04 % Number of predicates : 29 ( 28 usr; 1 prp; 0-4 aty)
% 4.94/5.04 % Number of functors : 73 ( 73 usr; 24 con; 0-5 aty)
% 4.94/5.04 % Number of variables : 1476 ( 243 sgn)
% 4.94/5.04 % SPC : CNF_UNS_RFO_SEQ_NHN
% 4.94/5.04
% 4.94/5.04 % Comments :
% 4.94/5.04 %------------------------------------------------------------------------------
% 4.94/5.04 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 4.94/5.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.94/5.04 | 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) ) ).
% 4.94/5.04
% 4.94/5.04 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 4.94/5.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.94/5.04 | 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) ) ).
% 4.94/5.04
% 4.94/5.04 cnf(cls_nat__add__commute_0,axiom,
% 4.94/5.04 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ).
% 4.94/5.04
% 4.94/5.04 cnf(cls_less__add__eq__less_0,axiom,
% 4.94/5.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 4.94/5.04 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 4.94/5.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 4.94/5.04
% 4.94/5.04 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 4.94/5.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.94/5.04 | 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) ) ).
% 4.94/5.04
% 4.94/5.04 cnf(cls_foldl__assoc_0,axiom,
% 4.94/5.04 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 4.94/5.04 | 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)) ) ).
% 4.94/5.04
% 4.94/5.04 cnf(cls_rev__replicate_0,axiom,
% 4.94/5.04 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ).
% 4.94/5.04
% 4.94/5.04 cnf(cls_of__nat__eq__iff_0,axiom,
% 4.94/5.04 ( ~ class_Nat_Osemiring__char__0(T_a)
% 4.94/5.04 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 4.94/5.05 | V_m = V_n ) ).
% 4.94/5.05
% 4.94/5.05 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 4.94/5.05 ( ~ class_Ring__and__Field_Oidom(T_a)
% 4.94/5.05 | ~ class_Int_Onumber__ring(T_a)
% 4.94/5.05 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 4.94/5.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.94/5.05
% 4.94/5.05 cnf(cls_add__eq__self__zero_0,axiom,
% 4.94/5.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 4.94/5.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.94/5.05
% 4.94/5.05 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 4.94/5.05 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 4.94/5.05 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.94/5.05
% 4.94/5.05 cnf(cls_take__Suc__Cons_0,axiom,
% 4.98/5.05 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) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_add__is__0_0,axiom,
% 4.98/5.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.98/5.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_add__is__0_1,axiom,
% 4.98/5.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.98/5.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_double__eq__0__iff_0,axiom,
% 4.98/5.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.98/5.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 4.98/5.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_Suc__inject_0,axiom,
% 4.98/5.05 ( c_Suc(V_x) != c_Suc(V_y)
% 4.98/5.05 | V_x = V_y ) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_nat_Oinject_0,axiom,
% 4.98/5.05 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 4.98/5.05 | V_nat = V_nat_H ) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_r__into__rtranclp_0,axiom,
% 4.98/5.05 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 4.98/5.05 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_not__Nil__step1_0,axiom,
% 4.98/5.05 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_not__step1__Nil_0,axiom,
% 4.98/5.05 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 4.98/5.05
% 4.98/5.05 cnf(cls_one__is__add_1,axiom,
% 4.98/5.05 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 4.98/5.05 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.98/5.05 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 4.98/5.05
% 4.99/5.05 cnf(cls_one__is__add_2,axiom,
% 4.99/5.05 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 4.99/5.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.99/5.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_take__butlast_0,axiom,
% 4.99/5.05 ( c_List_Otake(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Otake(V_n,V_xs,T_a)
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_map__eq__imp__length__eq_0,axiom,
% 4.99/5.05 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_f,V_ys,T_b,T_a)
% 4.99/5.05 | c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) = c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_conversep__eq_0,axiom,
% 4.99/5.05 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_less__SucE_0,axiom,
% 4.99/5.05 ( V_m = V_n
% 4.99/5.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_less__antisym_0,axiom,
% 4.99/5.05 ( V_m = V_n
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 4.99/5.05 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 4.99/5.05 ( V_n = V_m
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 4.99/5.05 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_one__is__add_4,axiom,
% 4.99/5.05 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_length__rotate1_0,axiom,
% 4.99/5.05 c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_length__append_0,axiom,
% 4.99/5.05 c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a))) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_Cons__step1__Cons_3,axiom,
% 4.99/5.05 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 4.99/5.05 | V_xs = V_ys
% 4.99/5.05 | ~ 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) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_append__replicate__commute_0,axiom,
% 4.99/5.05 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) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_trans__less__add2_0,axiom,
% 4.99/5.05 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_trans__less__add1_0,axiom,
% 4.99/5.05 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_add__lessD1_0,axiom,
% 4.99/5.05 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 4.99/5.05 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 4.99/5.05 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 4.99/5.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_map__replicate_0,axiom,
% 4.99/5.05 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) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_length__map_0,axiom,
% 4.99/5.05 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)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_append__eq__conv__conj_0,axiom,
% 4.99/5.05 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) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_rev__rev__ident_0,axiom,
% 4.99/5.05 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_rev__swap_1,axiom,
% 4.99/5.05 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_rev__swap_0,axiom,
% 4.99/5.05 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_less__iff__Suc__add_1,axiom,
% 4.99/5.05 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_less__add__Suc2_0,axiom,
% 4.99/5.05 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_less__add__Suc1_0,axiom,
% 4.99/5.05 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_rotate1__is__Nil__conv_0,axiom,
% 4.99/5.05 ( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 4.99/5.05 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_Zero__neq__Suc_0,axiom,
% 4.99/5.05 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 4.99/5.05 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_add__Suc_0,axiom,
% 4.99/5.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_add__Suc__right_0,axiom,
% 4.99/5.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_take__eq__Nil_2,axiom,
% 4.99/5.05 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_termi__implies__IT_0,axiom,
% 4.99/5.05 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 4.99/5.05 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_IT__implies__termi_0,axiom,
% 4.99/5.05 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 4.99/5.05 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_rtranclp__trans_0,axiom,
% 4.99/5.05 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 4.99/5.05 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 4.99/5.05 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_accp__downwards__aux_0,axiom,
% 4.99/5.05 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 4.99/5.05 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 4.99/5.05 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_accp__downwards_0,axiom,
% 4.99/5.05 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 4.99/5.05 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 4.99/5.05 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 4.99/5.05 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 4.99/5.05 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_replicate__eq__replicate_0,axiom,
% 4.99/5.05 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 4.99/5.05 | V_m = V_n ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_rev__map_0,axiom,
% 4.99/5.05 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) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_Cons__step1__Cons_4,axiom,
% 4.99/5.05 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 4.99/5.05 | 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) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_Cons__step1__Cons_2,axiom,
% 4.99/5.05 ( V_x = V_y
% 4.99/5.05 | V_xs = V_ys
% 4.99/5.05 | ~ 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) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_list_Osize_I4_J_0,axiom,
% 4.99/5.05 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_list,tc_List_Olist(T_a))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_add__is__1_4,axiom,
% 4.99/5.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_rotate__simps_0,axiom,
% 4.99/5.05 c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_Suc__length__conv_2,axiom,
% 4.99/5.05 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)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_append__step1I_1,axiom,
% 4.99/5.05 ( 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)
% 4.99/5.05 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_append__step1I_0,axiom,
% 4.99/5.05 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 4.99/5.05 | 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) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_length__Suc__conv_2,axiom,
% 4.99/5.05 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))) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_double__eq__0__iff_1,axiom,
% 4.99/5.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.99/5.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_add__is__0_2,axiom,
% 4.99/5.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_take__map_0,axiom,
% 4.99/5.05 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) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 4.99/5.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.05 | 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) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_add__cancel__21_1,axiom,
% 4.99/5.05 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.99/5.05 | 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)) ) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_nat__add__left__commute_0,axiom,
% 4.99/5.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ).
% 4.99/5.05
% 4.99/5.05 cnf(cls_nat__add__assoc_0,axiom,
% 4.99/5.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.99/5.06 | 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)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.99/5.06 | 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)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 4.99/5.06 | 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)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.06 | 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) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.06 | 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) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.06 | 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)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.06 | 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)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_conversep_Ointros_0,axiom,
% 4.99/5.06 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_conversep_Ocases_0,axiom,
% 4.99/5.06 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_conversep__iff_1,axiom,
% 4.99/5.06 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_conversepD_0,axiom,
% 4.99/5.06 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_replicate__Suc_0,axiom,
% 4.99/5.06 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) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__cancel__21_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_one__is__add_5,axiom,
% 4.99/5.06 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_one__is__add_3,axiom,
% 4.99/5.06 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 4.99/5.06 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.99/5.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_one__is__add_0,axiom,
% 4.99/5.06 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 4.99/5.06 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.99/5.06 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__Suc__shift_0,axiom,
% 4.99/5.06 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_rtranclp__converseD_0,axiom,
% 4.99/5.06 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_rtranclp__converseI_0,axiom,
% 4.99/5.06 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Suc__lessI_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 4.99/5.06 | c_Suc(V_m) = V_n
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 4.99/5.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)
% 4.99/5.06 | V_y = V_z ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_nat__add__right__cancel_0,axiom,
% 4.99/5.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)
% 4.99/5.06 | V_m = V_n ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_nat__add__left__cancel_0,axiom,
% 4.99/5.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 4.99/5.06 | V_m = V_n ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Oidom(T_a)
% 4.99/5.06 | ~ class_Int_Onumber__ring(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | V_y = V_z ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__imp__eq_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | V_b = V_c ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__left__cancel_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | V_b = V_c ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__right__cancel_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | V_b = V_c ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Cons__step1__Cons_0,axiom,
% 4.99/5.06 ( V_x = V_y
% 4.99/5.06 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 4.99/5.06 | ~ 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) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__is__1_3,axiom,
% 4.99/5.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.99/5.06 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.99/5.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__is__1_0,axiom,
% 4.99/5.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.99/5.06 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.99/5.06 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_last__replicate_0,axiom,
% 4.99/5.06 ( c_List_Olast(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x
% 4.99/5.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.06 | 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)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_replicate__eq__replicate_2,axiom,
% 4.99/5.06 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) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_rev__is__Nil__conv_0,axiom,
% 4.99/5.06 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 4.99/5.06 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 4.99/5.06 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_not__less__eq_1,axiom,
% 4.99/5.06 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_not__less__eq_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 4.99/5.06 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_replicate__eq__replicate_1,axiom,
% 4.99/5.06 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 4.99/5.06 | V_x = V_y
% 4.99/5.06 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_rtranclp__idemp_0,axiom,
% 4.99/5.06 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.99/5.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 4.99/5.06 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 4.99/5.06 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 4.99/5.06 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Oidom(T_a)
% 4.99/5.06 | ~ class_Int_Onumber__ring(T_a)
% 4.99/5.06 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 4.99/5.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__0__left_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 4.99/5.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 4.99/5.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 4.99/5.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_rev__is__Nil__conv_1,axiom,
% 4.99/5.06 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_rev__append_0,axiom,
% 4.99/5.06 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) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Suc__less__eq_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Suc__mono_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__strict__mono_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__less__mono_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 4.99/5.06 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Suc__neq__Zero_0,axiom,
% 4.99/5.06 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_lessI_0,axiom,
% 4.99/5.06 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_less__Suc__eq_2,axiom,
% 4.99/5.06 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_less__trans__Suc_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_replicate__add_0,axiom,
% 4.99/5.06 c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_rev__is__rev__conv_0,axiom,
% 4.99/5.06 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 4.99/5.06 | V_xs = V_ys ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_length__replicate_0,axiom,
% 4.99/5.06 c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Nil__is__rev__conv_0,axiom,
% 4.99/5.06 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 4.99/5.06 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_conversep__conversep_0,axiom,
% 4.99/5.06 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_not__add__less1_0,axiom,
% 4.99/5.06 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_not__add__less2_0,axiom,
% 4.99/5.06 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Suc__n__not__n_0,axiom,
% 4.99/5.06 c_Suc(V_n) != V_n ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_n__not__Suc__n_0,axiom,
% 4.99/5.06 V_n != c_Suc(V_n) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__strict__right__mono_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__less__cancel__right_1,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__less__cancel__right_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.99/5.06 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 4.99/5.06 | ~ 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) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__strict__left__mono_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__less__cancel__left_1,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__less__cancel__left_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 4.99/5.06 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 4.99/5.06 | ~ 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) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__less__mono1_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Cons__step1__Cons_1,axiom,
% 4.99/5.06 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 4.99/5.06 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 4.99/5.06 | ~ 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) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Cons__step1__Cons_5,axiom,
% 4.99/5.06 ( 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)
% 4.99/5.06 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_butlast_Osimps_I1_J_0,axiom,
% 4.99/5.06 c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__is__1_5,axiom,
% 4.99/5.06 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Nil__is__rev__conv_1,axiom,
% 4.99/5.06 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_Suc__lessD_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_less__SucI_0,axiom,
% 4.99/5.06 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_length__rev_0,axiom,
% 4.99/5.06 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)) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_of__nat__add_0,axiom,
% 4.99/5.06 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 4.99/5.06 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__is__1_1,axiom,
% 4.99/5.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.99/5.06 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.99/5.06 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_add__is__1_2,axiom,
% 4.99/5.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.99/5.06 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.99/5.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 4.99/5.06 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 4.99/5.06 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_accp_Ocases_0,axiom,
% 4.99/5.06 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 4.99/5.06 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_accp__downward_0,axiom,
% 4.99/5.06 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 4.99/5.06 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 4.99/5.06 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_append__butlast__last__id_0,axiom,
% 4.99/5.06 ( c_List_Oappend(c_List_Obutlast(V_xs,T_a),c_List_Olist_OCons(c_List_Olast(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a) = V_xs
% 4.99/5.06 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.99/5.06 | 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)
% 4.99/5.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 4.99/5.06
% 4.99/5.06 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 4.99/5.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.99/5.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 4.99/5.06 | ~ 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_of__nat__less__0__iff_0,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_add__neg__neg_0,axiom,
% 4.99/5.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.99/5.07 | 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)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 4.99/5.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.99/5.07 | 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)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 4.99/5.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 4.99/5.07 | ~ 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_even__less__0__iff_0,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 4.99/5.07 | ~ 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_even__less__0__iff_1,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 4.99/5.07 | 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)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_add__pos__pos_0,axiom,
% 4.99/5.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 4.99/5.07 | 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)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_pos__add__strict_0,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_of__nat__0_0,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 4.99/5.07 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_of__nat__less__iff_1,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_of__nat__less__iff_0,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_add__gr__0_1,axiom,
% 4.99/5.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_add__gr__0_2,axiom,
% 4.99/5.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_gr0__conv__Suc_1,axiom,
% 4.99/5.07 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_zero__less__Suc_0,axiom,
% 4.99/5.07 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_add__gr__0_0,axiom,
% 4.99/5.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 4.99/5.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_less__Suc0_0,axiom,
% 4.99/5.07 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_less__Suc0_1,axiom,
% 4.99/5.07 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_replicate__empty_1,axiom,
% 4.99/5.07 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_take__eq__Nil_0,axiom,
% 4.99/5.07 ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a)
% 4.99/5.07 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_length__0__conv_1,axiom,
% 4.99/5.07 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_empty__replicate_1,axiom,
% 4.99/5.07 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_take__0_0,axiom,
% 4.99/5.07 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_replicate__empty_0,axiom,
% 4.99/5.07 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 4.99/5.07 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_empty__replicate_0,axiom,
% 4.99/5.07 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 4.99/5.07 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_length__0__conv_0,axiom,
% 4.99/5.07 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_singleton__rev__conv_1,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_last_Osimps_1,axiom,
% 4.99/5.07 ( c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rev__singleton__conv_1,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_singleton__rev__conv_0,axiom,
% 4.99/5.07 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 4.99/5.07 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rev__singleton__conv_0,axiom,
% 4.99/5.07 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 4.99/5.07 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_butlast_Osimps_I2_J_0,axiom,
% 4.99/5.07 c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_last_Osimps_0,axiom,
% 4.99/5.07 c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_butlast_Osimps_I2_J_1,axiom,
% 4.99/5.07 ( c_List_Obutlast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Obutlast(V_xs,T_a),T_a)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldl__absorb0_0,axiom,
% 4.99/5.07 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 4.99/5.07 | 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__eq__Cons__conv_3,axiom,
% 4.99/5.07 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 4.99/5.07 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs
% 4.99/5.07 | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Cons__eq__append__conv_2,axiom,
% 4.99/5.07 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 4.99/5.07 | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys
% 4.99/5.07 | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__eq__Cons__conv_2,axiom,
% 4.99/5.07 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 4.99/5.07 | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)
% 4.99/5.07 | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Cons__eq__append__conv_3,axiom,
% 4.99/5.07 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 4.99/5.07 | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)
% 4.99/5.07 | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_replicate__app__Cons__same_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_butlast__append_0,axiom,
% 4.99/5.07 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_last__append_1,axiom,
% 4.99/5.07 ( c_List_Olast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Olast(V_ys,T_a)
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_last__append_0,axiom,
% 4.99/5.07 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_butlast__append_1,axiom,
% 4.99/5.07 ( c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(V_xs,c_List_Obutlast(V_ys,T_a),T_a)
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rtrancl__beta__App_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__preserves__beta2_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__preserves__beta_H_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_head__Var__reduction_0,axiom,
% 4.99/5.07 ( 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)
% 4.99/5.07 | ~ 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)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subject__reduction_H_0,axiom,
% 4.99/5.07 ( hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_t_H),V_T))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_t),V_T))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_lift__preserves__beta_H_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_shift__commute_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldr__conv__foldl_0,axiom,
% 4.99/5.07 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 4.99/5.07 | 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_App__eq__foldl__conv_1,axiom,
% 4.99/5.07 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.99/5.07 | V_ts = c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)
% 4.99/5.07 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_map_Osimps_I2_J_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Cons__eq__append__conv_5,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Cons__eq__appendI_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 4.99/5.07 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 4.99/5.07 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_neq__Nil__conv_1,axiom,
% 4.99/5.07 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_list_Osimps_I3_J_0,axiom,
% 4.99/5.07 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_type_Osplit__asm_0,axiom,
% 4.99/5.07 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a)))
% 4.99/5.07 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_type_Osplit_0,axiom,
% 4.99/5.07 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a)))
% 4.99/5.07 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Lambda_0,axiom,
% 4.99/5.07 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 4.99/5.07 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_uIT_0,axiom,
% 4.99/5.07 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 4.99/5.07 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__lift_0,axiom,
% 4.99/5.07 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 4.99/5.07 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_lift__preserves__beta_0,axiom,
% 4.99/5.07 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_not__Cons__self2_0,axiom,
% 4.99/5.07 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_not__Cons__self_0,axiom,
% 4.99/5.07 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 4.99/5.07 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 4.99/5.07 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Cons__eq__append__conv_4,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Nil__is__map__conv_1,axiom,
% 4.99/5.07 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Nil__is__append__conv_2,axiom,
% 4.99/5.07 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_abs_0,axiom,
% 4.99/5.07 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldl__append_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_type_Osimps_I5_J_0,axiom,
% 4.99/5.07 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_App__eq__foldl__conv_3,axiom,
% 4.99/5.07 ( c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB)
% 4.99/5.07 | hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_x,tc_Lambda_OdB,tc_Lambda_OdB)),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_app__last_0,axiom,
% 4.99/5.07 hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u) = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_ts,c_List_Olist_OCons(V_u,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_App__eq__foldl__conv_5,axiom,
% 4.99/5.07 ( V_r != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),V_xa,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.99/5.07 | 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_Oappend(V_xa,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_head__Var__reduction_1,axiom,
% 4.99/5.07 ( 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)
% 4.99/5.07 | ~ 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)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_of__nat__0__less__iff_0,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_of__nat__0__less__iff_1,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 4.99/5.07 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_n))
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_App__eq__foldl__conv_2,axiom,
% 4.99/5.07 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.99/5.07 | V_r = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB)
% 4.99/5.07 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldr__foldl_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldl__foldr_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldl__foldr1_0,axiom,
% 4.99/5.07 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 4.99/5.07 | 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 4.99/5.07 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 4.99/5.07 | 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)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_apps__preserves__beta2_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_apps__preserves__betas_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_double__induction__lemma_0,axiom,
% 4.99/5.07 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 4.99/5.07 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 4.99/5.07 | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Cons__eq__append__conv_1,axiom,
% 4.99/5.07 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 4.99/5.07 | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__eq__Cons__conv_0,axiom,
% 4.99/5.07 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 4.99/5.07 | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_last__snoc_0,axiom,
% 4.99/5.07 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_butlast__snoc_0,axiom,
% 4.99/5.07 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 4.99/5.07 ( V_ys = V_xs
% 4.99/5.07 | V_y = V_x
% 4.99/5.07 | ~ 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 4.99/5.07 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 4.99/5.07 | V_y = V_x
% 4.99/5.07 | ~ 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__eq__Cons__conv_1,axiom,
% 4.99/5.07 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 4.99/5.07 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Cons__eq__append__conv_0,axiom,
% 4.99/5.07 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 4.99/5.07 | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 4.99/5.07 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 4.99/5.07 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 4.99/5.07 | ~ 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 4.99/5.07 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 4.99/5.07 | 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_rotate__simps_1,axiom,
% 4.99/5.07 c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 4.99/5.07 ( V_ys = V_xs
% 4.99/5.07 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 4.99/5.07 | ~ 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) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_replicate__append__same_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_length__greater__0__conv_1,axiom,
% 4.99/5.07 ( 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)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_length__greater__0__conv_0,axiom,
% 4.99/5.07 ~ 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_take__Cons_H_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_liftn__lift_0,axiom,
% 4.99/5.07 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = hAPP(hAPP(c_Lambda_Olift,c_Lambda_Oliftn(V_n,V_t,V_k)),V_k) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Cons__eq__map__conv_3,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_map__eq__Cons__conv_3,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__Cons_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__eq__Cons__conv_5,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 4.99/5.07 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.99/5.07 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldl__Cons_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_type__induct_2,axiom,
% 4.99/5.07 ( hBOOL(hAPP(V_P,V_T))
% 4.99/5.07 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_map__is__Nil__conv_1,axiom,
% 4.99/5.07 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__Var_1,axiom,
% 4.99/5.07 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 4.99/5.07 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_COMBC__def_0,axiom,
% 4.99/5.07 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_COMBB__def_0,axiom,
% 4.99/5.07 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_not__less0_0,axiom,
% 4.99/5.07 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_gr__implies__not0_0,axiom,
% 4.99/5.07 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_xt1_I10_J_0,axiom,
% 4.99/5.07 ( ~ class_Orderings_Oorder(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_order__less__trans_0,axiom,
% 4.99/5.07 ( ~ class_Orderings_Opreorder(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_typing__elims_I3_J_1,axiom,
% 4.99/5.07 ( hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t),tc_Type_Otype)),V_t),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),c_Lambda_OdB_OAbs(V_t)),V_T)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_substn__subst__n_0,axiom,
% 4.99/5.07 c_Lambda_Osubstn(V_t,V_s,V_n) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat))),V_n) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Var_I3_J_0,axiom,
% 4.99/5.07 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__Var_2,axiom,
% 4.99/5.07 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i)
% 4.99/5.07 | V_i = V_k
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__in__listsp__conv_0,axiom,
% 4.99/5.07 ( c_List_Olistsp(V_A,V_xs,T_a)
% 4.99/5.07 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__in__listsp__conv_1,axiom,
% 4.99/5.07 ( c_List_Olistsp(V_A,V_ys,T_a)
% 4.99/5.07 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 4.99/5.07 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__preserves__beta_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_listsp_ONil_0,axiom,
% 4.99/5.07 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__same__eq_0,axiom,
% 4.99/5.07 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 4.99/5.07 | V_ys = V_zs ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_same__append__eq_0,axiom,
% 4.99/5.07 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 4.99/5.07 | V_ys = V_zs ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__Nil2_0,axiom,
% 4.99/5.07 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_eq__Nil__appendI_0,axiom,
% 4.99/5.07 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_self__append__conv_1,axiom,
% 4.99/5.07 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__Nil_0,axiom,
% 4.99/5.07 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_self__append__conv2_1,axiom,
% 4.99/5.07 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__map_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_type_Osimps_I1_J_0,axiom,
% 4.99/5.07 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H)
% 4.99/5.07 | V_nat = V_nat_H ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Nil__is__map__conv_0,axiom,
% 4.99/5.07 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Beta_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 4.99/5.07 | ~ 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))) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_foldl__Nil_0,axiom,
% 4.99/5.07 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 4.99/5.07 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 4.99/5.07 | V_i = V_k
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_lift__IT_0,axiom,
% 4.99/5.07 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))
% 4.99/5.07 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Nil__is__append__conv_0,axiom,
% 4.99/5.07 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Nil__is__append__conv_1,axiom,
% 4.99/5.07 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 4.99/5.07 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 4.99/5.07 | V_dB = V_dB_H ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__is__Nil__conv_0,axiom,
% 4.99/5.07 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__is__Nil__conv_1,axiom,
% 4.99/5.07 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 4.99/5.07 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.99/5.07 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_type_Orecs_I1_J_0,axiom,
% 4.99/5.07 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_apps__preserves__beta_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_nat__less__le_1,axiom,
% 4.99/5.07 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_less__not__refl_0,axiom,
% 4.99/5.07 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_order__less__le_1,axiom,
% 4.99/5.07 ( ~ class_Orderings_Oorder(T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_linorder__neq__iff_1,axiom,
% 4.99/5.07 ( ~ class_Orderings_Olinorder(T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_order__less__irrefl_0,axiom,
% 4.99/5.07 ( ~ class_Orderings_Opreorder(T_a)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_beta_0,axiom,
% 4.99/5.07 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)))) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_map__append_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 4.99/5.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 4.99/5.07 | V_x = V_y ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 4.99/5.07 ( ~ class_Orderings_Olinorder(T_a)
% 4.99/5.07 | V_x = V_y
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_nat__neq__iff_0,axiom,
% 4.99/5.07 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 4.99/5.07 | V_m = V_n ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_nat__less__cases_0,axiom,
% 4.99/5.07 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 4.99/5.07 | V_m = V_n
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_linorder__neqE__nat_0,axiom,
% 4.99/5.07 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 4.99/5.07 | V_x = V_y ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_linorder__neqE_0,axiom,
% 4.99/5.07 ( ~ class_Orderings_Olinorder(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 4.99/5.07 | V_x = V_y ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_linorder__less__linear_0,axiom,
% 4.99/5.07 ( ~ class_Orderings_Olinorder(T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 4.99/5.07 | V_x = V_y
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_linorder__antisym__conv3_0,axiom,
% 4.99/5.07 ( ~ class_Orderings_Olinorder(T_a)
% 4.99/5.07 | V_x = V_y
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 4.99/5.07 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_IT_OVar_0,axiom,
% 4.99/5.07 ( 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)))
% 4.99/5.07 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 4.99/5.07 ( 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)
% 4.99/5.07 | V_rs = V_ss ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 4.99/5.07 ( 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)
% 4.99/5.07 | V_r = V_s ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 4.99/5.07 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 4.99/5.07 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_list_Osimps_I2_J_0,axiom,
% 4.99/5.07 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_App__eq__foldl__conv_0,axiom,
% 4.99/5.07 ( 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)
% 4.99/5.07 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_lift__map_0,axiom,
% 4.99/5.07 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) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_gr0I_0,axiom,
% 4.99/5.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 4.99/5.07 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__in__listsp__conv_2,axiom,
% 4.99/5.07 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 4.99/5.07 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 4.99/5.07 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 4.99/5.07 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_liftn__0_0,axiom,
% 4.99/5.07 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_neq0__conv_1,axiom,
% 4.99/5.07 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_substn__subst__0_0,axiom,
% 4.99/5.07 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__lt_0,axiom,
% 4.99/5.07 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j)
% 4.99/5.07 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_dB_Osplit_2,axiom,
% 4.99/5.07 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 4.99/5.07 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_dB_Osplit__asm_2,axiom,
% 4.99/5.07 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 4.99/5.07 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_subst__Var__IT_0,axiom,
% 4.99/5.07 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j)))
% 4.99/5.07 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__self__conv_0,axiom,
% 4.99/5.07 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_self__append__conv_0,axiom,
% 4.99/5.07 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 4.99/5.07 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__self__conv2_0,axiom,
% 4.99/5.07 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_self__append__conv2_0,axiom,
% 4.99/5.07 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 4.99/5.07 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.99/5.07
% 4.99/5.07 cnf(cls_append__eq__Cons__conv_4,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_list_Oinject_0,axiom,
% 4.99/5.08 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 4.99/5.08 | V_a = V_a_H ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_list_Oinject_1,axiom,
% 4.99/5.08 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 4.99/5.08 | V_list = V_list_H ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_map__is__Nil__conv_0,axiom,
% 4.99/5.08 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 4.99/5.08 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_append1__eq__conv_0,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | V_xs = V_ys ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_append1__eq__conv_1,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | V_x = V_y ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_App__eq__foldl__conv_4,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_append__is__Nil__conv_2,axiom,
% 4.99/5.08 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_lifts__IT_0,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_append__assoc_0,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_append__eq__appendI_0,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_append__eq__append__conv2_4,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_append__eq__append__conv2_5,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_xt1_I9_J_0,axiom,
% 4.99/5.08 ( ~ class_Orderings_Oorder(T_a)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 4.99/5.08 ( ~ class_Orderings_Olinorder(T_a)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_order__less__asym_0,axiom,
% 4.99/5.08 ( ~ class_Orderings_Opreorder(T_a)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_order__less__asym_H_0,axiom,
% 4.99/5.08 ( ~ class_Orderings_Opreorder(T_a)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_lift__type_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(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))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_t),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type_Osimps_I4_J_0,axiom,
% 4.99/5.08 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_uT_0,axiom,
% 4.99/5.08 hBOOL(hAPP(hAPP(c_Type_Otyping(v_e____),v_u____),v_T____)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_subst__App_0,axiom,
% 4.99/5.08 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)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 4.99/5.08 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 4.99/5.08 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_var__app__typesE_1,axiom,
% 4.99/5.08 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 4.99/5.08 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 4.99/5.08 | V_nat = V_nat_H ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osplit__asm_0,axiom,
% 4.99/5.08 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 4.99/5.08 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osplit_0,axiom,
% 4.99/5.08 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 4.99/5.08 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_typing__elims_I3_J_0,axiom,
% 4.99/5.08 ( V_T = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t)),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),c_Lambda_OdB_OAbs(V_t)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 4.99/5.08 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_subject__reduction_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_t_H),V_T))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_t),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | V_m = V_n ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | V_rs = V_ss ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_subst__eq_0,axiom,
% 4.99/5.08 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osplit__asm_1,axiom,
% 4.99/5.08 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a)))
% 4.99/5.08 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osplit_1,axiom,
% 4.99/5.08 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a)))
% 4.99/5.08 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_lists__typings_0,axiom,
% 4.99/5.08 ( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(V_e),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),V_ts,tc_Lambda_OdB)
% 4.99/5.08 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type_Osimps_I2_J_0,axiom,
% 4.99/5.08 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 4.99/5.08 | V_type1 = V_type1_H ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type_Osimps_I2_J_1,axiom,
% 4.99/5.08 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 4.99/5.08 | V_type2 = V_type2_H ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 4.99/5.08 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)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_list__app__typeD_1,axiom,
% 4.99/5.08 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_var__app__types_0,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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))
% 4.99/5.08 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_shift__gt_0,axiom,
% 4.99/5.08 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 4.99/5.08 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type__induct_1,axiom,
% 4.99/5.08 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 4.99/5.08 | hBOOL(hAPP(V_P,V_T))
% 4.99/5.08 | hBOOL(hAPP(V_P,V_T2)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type__induct_0,axiom,
% 4.99/5.08 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x)
% 4.99/5.08 | hBOOL(hAPP(V_P,V_T))
% 4.99/5.08 | hBOOL(hAPP(V_P,V_T1a)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_beta__cases_I1_J_0,axiom,
% 4.99/5.08 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_App_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(c_Type_Otyping(V_env),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_U))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_env),V_t),V_T))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_env),V_s),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 4.99/5.08 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 4.99/5.08 | V_dB1 = V_dB1_H ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 4.99/5.08 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 4.99/5.08 | V_dB2 = V_dB2_H ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_var__app__type__eq_0,axiom,
% 4.99/5.08 ( V_T = V_U
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var__eq__apps__conv_0,axiom,
% 4.99/5.08 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.99/5.08 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 4.99/5.08 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 4.99/5.08 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_MI2_0,axiom,
% 4.99/5.08 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 4.99/5.08 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_u),V_T2))
% 4.99/5.08 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype)),V_t),V_Ta))
% 4.99/5.08 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_MI1_0,axiom,
% 4.99/5.08 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 4.99/5.08 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_u),V_T1))
% 4.99/5.08 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype)),V_t),V_Ta))
% 4.99/5.08 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_shift__eq_0,axiom,
% 4.99/5.08 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Abs_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(c_Type_Otyping(V_env),c_Lambda_OdB_OAbs(V_t)),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype)),V_t),V_U)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_True_0,axiom,
% 4.99/5.08 v_n____ = v_i____ ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 4.99/5.08 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var__IT_0,axiom,
% 4.99/5.08 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_typing__elims_I1_J_0,axiom,
% 4.99/5.08 ( hAPP(V_e,V_i) = V_T
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),c_Lambda_OdB_OVar(V_i)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_foldr__append_0,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 4.99/5.08 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)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var_I2_J_0,axiom,
% 4.99/5.08 hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,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_Ha______)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_list__app__typeE_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(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)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var_I4_J_0,axiom,
% 4.99/5.08 hBOOL(hAPP(hAPP(c_Type_Otyping(v_ea______),v_ua______),v_T____)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_that_0,axiom,
% 4.99/5.08 ( v_thesis____
% 4.99/5.08 | ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,V_Ts)
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_var__app__typesE_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(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)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_nT_0,axiom,
% 4.99/5.08 hBOOL(hAPP(hAPP(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____)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_list__app__typeI_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T))
% 4.99/5.08 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_t),c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 4.99/5.08 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_typing__elims_I2_J_1,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_u),c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var__eq__apps__conv_2,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 4.99/5.08 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_list__app__typeE_1,axiom,
% 4.99/5.08 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 4.99/5.08 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type_Orecs_I2_J_0,axiom,
% 4.99/5.08 c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_substs__lemma_0,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | ~ c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts)
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),V_u),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type_Osimps_I6_J_0,axiom,
% 4.99/5.08 c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_typing_OVar_0,axiom,
% 4.99/5.08 hBOOL(hAPP(hAPP(c_Type_Otyping(V_env),c_Lambda_OdB_OVar(V_x)),hAPP(V_env,V_x))) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type_Osplit__asm_1,axiom,
% 4.99/5.08 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_xa),V_xb),t_a)))
% 4.99/5.08 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type_Osplit_1,axiom,
% 4.99/5.08 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),t_a)))
% 4.99/5.08 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 4.99/5.08 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_type_Osimps_I3_J_0,axiom,
% 4.99/5.08 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_apps__eq__tail__conv_0,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | V_r = V_s ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_var__app__types_1,axiom,
% 4.99/5.08 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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))
% 4.99/5.08 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(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)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_appR_0,axiom,
% 4.99/5.08 ( 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)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_appL_0,axiom,
% 4.99/5.08 ( 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)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 4.99/5.08 c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_lift__types_0,axiom,
% 4.99/5.08 ( 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)
% 4.99/5.08 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Cons_0,axiom,
% 4.99/5.08 v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Var__eq__apps__conv_1,axiom,
% 4.99/5.08 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.99/5.08 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_list__app__typeD_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(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)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_app__Var__IT_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 4.99/5.08 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_subst__lemma_0,axiom,
% 4.99/5.08 ( ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e_H),V_u),V_U))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype)),V_t),V_T))
% 4.99/5.08 | hBOOL(hAPP(hAPP(c_Type_Otyping(V_e_H),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 4.99/5.08 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) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 4.99/5.08 c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_typing__elims_I2_J_0,axiom,
% 4.99/5.08 ( hBOOL(hAPP(hAPP(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)))
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(V_e),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_T)) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 4.99/5.08 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_CHAINED_0,axiom,
% 4.99/5.08 hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_conjecture_0,negated_conjecture,
% 4.99/5.08 ~ v_thesis____ ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 4.99/5.08 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 4.99/5.08 | ~ class_Orderings_Opreorder(T_1) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 4.99/5.08 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 4.99/5.08 | ~ class_Orderings_Oorder(T_1) ) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 4.99/5.08 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 4.99/5.08 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 4.99/5.08 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 4.99/5.08 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 4.99/5.08 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 4.99/5.08 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 4.99/5.08 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 4.99/5.08 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 4.99/5.08 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 4.99/5.08 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 4.99/5.08 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 4.99/5.08 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 4.99/5.08 class_Nat_Osemiring__char__0(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 4.99/5.08 class_Orderings_Opreorder(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 4.99/5.08 class_Orderings_Olinorder(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 4.99/5.08 class_Orderings_Oorder(tc_nat) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 4.99/5.08 class_Orderings_Opreorder(tc_bool) ).
% 4.99/5.08
% 4.99/5.08 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 4.99/5.08 class_Orderings_Oorder(tc_bool) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 4.99/5.08 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 4.99/5.08
% 4.99/5.08 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 4.99/5.08 ( V_X = V_Y
% 4.99/5.08 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 4.99/5.08
% 4.99/5.08 %------------------------------------------------------------------------------
% 4.99/5.08 %-------------------------------------------
% 4.99/5.08 % Proof found
% 4.99/5.08 % SZS status Theorem for theBenchmark
% 4.99/5.08 % SZS output start Proof
% 4.99/5.08 %ClaNum:668(EqnAxiom:173)
% 4.99/5.08 %VarNum:2882(SingletonVarNum:1239)
% 4.99/5.08 %MaxLitNum:6
% 4.99/5.08 %MaxfuncDepth:7
% 4.99/5.08 %SharedTerms:102
% 4.99/5.08 %goalClause: 338
% 4.99/5.08 %singleGoalClaCount:1
% 4.99/5.08 [174]E(a1,a67)
% 4.99/5.08 [175]P1(a2)
% 4.99/5.08 [176]P2(a2)
% 4.99/5.08 [177]P14(a2)
% 4.99/5.08 [178]P3(a2)
% 4.99/5.08 [179]P10(a2)
% 4.99/5.08 [180]P12(a2)
% 4.99/5.08 [181]P13(a2)
% 4.99/5.08 [182]P15(a2)
% 4.99/5.08 [183]P17(a2)
% 4.99/5.08 [184]P18(a2)
% 4.99/5.08 [185]P23(a2)
% 4.99/5.08 [186]P24(a2)
% 4.99/5.08 [187]P19(a2)
% 4.99/5.08 [188]P20(a2)
% 4.99/5.08 [189]P20(a3)
% 4.99/5.08 [190]P22(a2)
% 4.99/5.08 [191]P22(a3)
% 4.99/5.08 [192]P21(a2)
% 4.99/5.08 [338]~P28(a500)
% 4.99/5.08 [197]P27(f31(a6,a69))
% 4.99/5.08 [198]P27(f31(a6,a71))
% 4.99/5.08 [204]E(f24(a60,a64,a56),a70)
% 4.99/5.08 [235]P27(f31(f31(f41(a65),a69),a61))
% 4.99/5.08 [236]P27(f31(f31(f41(a66),a71),a61))
% 4.99/5.08 [334]P27(f31(f31(f41(f43(a65,a1,a61,a58)),f26(a13,f12(a67),a70,a56,a56)),a62))
% 4.99/5.08 [335]P27(f31(f31(f41(f43(a66,a68,a61,a58)),f26(a13,f12(a67),a70,a56,a56)),a63))
% 4.99/5.08 [336]P27(f31(f31(f41(f43(a65,a1,a61,a58)),f26(a13,f31(f31(a13,f12(a67)),a60),a64,a56,a56)),a62))
% 4.99/5.08 [354]~P4(x3541,x3541,a2)
% 4.99/5.08 [212]P4(x2121,f38(x2121),a2)
% 4.99/5.08 [223]P4(f7(a2),f38(x2231),a2)
% 4.99/5.08 [340]~E(f38(x3401),x3401)
% 4.99/5.08 [344]~E(f38(x3441),f7(a2))
% 4.99/5.08 [358]~P4(x3581,f7(a2),a2)
% 4.99/5.08 [194]E(f27(f4(x1941),x1941),f4(x1941))
% 4.99/5.08 [195]E(f5(f4(x1951),x1951),f4(x1951))
% 4.99/5.08 [196]E(f30(f4(x1961),x1961),f4(x1961))
% 4.99/5.08 [199]E(f32(f4(x1991),f55(x1991)),f7(a2))
% 4.99/5.08 [200]P27(f31(a6,f12(x2001)))
% 4.99/5.08 [206]E(f31(f31(f8(a2),x2061),f7(a2)),x2061)
% 4.99/5.08 [225]E(f39(f40(x2251),x2251,x2251),f40(x2251))
% 4.99/5.08 [364]~P4(f7(a2),f32(f4(x3641),f55(x3641)),a2)
% 4.99/5.08 [207]E(f31(f31(f8(a2),f7(a2)),x2071),x2071)
% 4.99/5.08 [213]P5(x2131,f4(x2132),x2132)
% 4.99/5.08 [346]~E(f12(x3461),f15(x3462))
% 4.99/5.08 [203]E(f27(f27(x2031,x2032),x2032),x2031)
% 4.99/5.08 [208]E(f37(f37(x2081,x2082),x2082),f37(x2081,x2082))
% 4.99/5.08 [210]E(f16(f7(a2),x2101,x2102),x2101)
% 4.99/5.08 [217]E(f20(x2171,f4(x2172),x2172),x2171)
% 4.99/5.08 [218]E(f20(f4(x2181),x2182,x2181),x2182)
% 4.99/5.08 [220]E(f28(f7(a2),x2201,x2202),f4(x2202))
% 4.99/5.08 [221]E(f33(f7(a2),x2211,x2212),f4(x2212))
% 4.99/5.08 [224]E(f33(x2241,f4(x2242),x2242),f4(x2242))
% 4.99/5.08 [226]E(f32(f27(x2261,x2262),f55(x2262)),f32(x2261,f55(x2262)))
% 4.99/5.08 [227]E(f32(f30(x2271,x2272),f55(x2272)),f32(x2271,f55(x2272)))
% 4.99/5.08 [254]P27(f31(f31(f41(x2541),f12(x2542)),f31(x2541,x2542)))
% 4.99/5.08 [292]E(f31(f31(f31(a21,x2921),f16(f7(a2),x2922,f7(a2))),f7(a2)),f31(f31(f31(a21,x2921),x2922),f7(a2)))
% 4.99/5.08 [237]E(f31(f31(f8(a2),x2371),x2372),f31(f31(f8(a2),x2372),x2371))
% 4.99/5.08 [238]P27(f31(f31(f40(x2381),x2382),x2382))
% 4.99/5.08 [239]E(f31(f31(f8(a2),f38(x2391)),x2392),f31(f31(f8(a2),x2391),f38(x2392)))
% 4.99/5.08 [243]E(f25(f24(x2431,f4(x2432),x2432),x2432),x2431)
% 4.99/5.08 [244]E(f5(f24(x2441,f4(x2442),x2442),x2442),f4(x2442))
% 4.99/5.08 [246]E(f5(f20(x2461,f4(x2462),x2462),x2462),f5(x2461,x2462))
% 4.99/5.08 [247]E(f25(f20(x2471,f4(x2472),x2472),x2472),f25(x2471,x2472))
% 4.99/5.08 [258]E(f27(f24(x2581,f4(x2582),x2582),x2582),f24(x2581,f4(x2582),x2582))
% 4.99/5.08 [303]P27(f31(f31(a14,f31(f31(a13,f15(x3031)),x3032)),f31(f31(f31(a21,x3031),x3032),f7(a2))))
% 4.99/5.08 [363]~P27(f31(f31(a14,f12(x3631)),x3632))
% 4.99/5.08 [365]~P4(f31(f31(f8(a2),x3651),x3652),x3652,a2)
% 4.99/5.08 [366]~P4(f31(f31(f8(a2),x3661),x3662),x3661,a2)
% 4.99/5.08 [240]E(f31(f31(f31(a21,f12(x2401)),x2402),x2401),x2402)
% 4.99/5.08 [245]E(f38(f31(f31(f8(a2),x2451),x2452)),f31(f31(f8(a2),x2451),f38(x2452)))
% 4.99/5.08 [248]E(f38(f31(f31(f8(a2),x2481),x2482)),f31(f31(f8(a2),f38(x2481)),x2482))
% 4.99/5.08 [264]P4(x2641,f38(f31(f31(f8(a2),x2642),x2641)),a2)
% 4.99/5.08 [266]P4(x2661,f38(f31(f31(f8(a2),x2661),x2662)),a2)
% 4.99/5.08 [356]~E(f24(x3561,x3562,x3563),x3562)
% 4.99/5.08 [361]~E(f24(x3611,x3612,x3613),f4(x3613))
% 4.99/5.08 [367]~P6(x3671,x3672,f4(x3673),x3673)
% 4.99/5.08 [368]~P6(x3681,f4(x3682),x3683,x3682)
% 4.99/5.08 [241]E(f28(f7(a2),x2411,x2412),f28(f7(a2),x2413,x2412))
% 4.99/5.08 [242]E(f32(f28(x2421,x2422,x2423),f55(x2423)),x2421)
% 4.99/5.08 [249]E(f39(f39(x2491,x2492,x2493),x2493,x2492),x2491)
% 4.99/5.08 [253]E(f27(f28(x2531,x2532,x2533),x2533),f28(x2531,x2532,x2533))
% 4.99/5.08 [259]E(f33(f32(x2591,f55(x2592)),f20(x2591,x2593,x2592),x2592),x2591)
% 4.99/5.08 [261]E(f24(x2611,f28(x2612,x2611,x2613),x2613),f28(f38(x2612),x2611,x2613))
% 4.99/5.08 [263]E(f20(f27(x2631,x2632),f27(x2633,x2632),x2632),f27(f20(x2633,x2631,x2632),x2632))
% 4.99/5.08 [268]E(f29(x2681,f4(x2682),x2682,x2683),f4(x2683))
% 4.99/5.08 [347]~E(f15(x3471),f31(f31(a13,x3472),x3473))
% 4.99/5.08 [348]~E(f12(x3481),f31(f31(a13,x3482),x3483))
% 4.99/5.08 [349]~E(f42(x3491),f31(f31(a53,x3492),x3493))
% 4.99/5.08 [350]~E(f31(f31(a13,x3501),x3502),f15(x3503))
% 4.99/5.08 [351]~E(f31(f31(a13,x3511),x3512),f12(x3513))
% 4.99/5.08 [352]~E(f31(f31(a53,x3521),x3522),f42(x3523))
% 4.99/5.08 [252]E(f32(f24(x2521,x2522,x2523),f55(x2523)),f38(f32(x2522,f55(x2523))))
% 4.99/5.08 [256]P27(f31(f31(f37(x2561,x2562),x2563),x2563))
% 4.99/5.08 [269]E(f32(f24(x2691,x2692,x2693),f55(x2693)),f31(f31(f8(a2),f32(x2692,f55(x2693))),f38(f7(a2))))
% 4.99/5.08 [273]E(f31(f31(f8(a2),f32(x2731,f55(x2732))),f32(x2733,f55(x2732))),f32(f20(x2731,x2733,x2732),f55(x2732)))
% 4.99/5.08 [274]E(f20(x2741,f24(x2742,f4(x2743),x2743),x2743),f30(f24(x2742,x2741,x2743),x2743))
% 4.99/5.08 [275]E(f31(f31(a17,f16(x2751,x2752,x2753)),x2753),f16(f38(x2751),x2752,x2753))
% 4.99/5.08 [276]E(f20(f27(x2761,x2762),f24(x2763,f4(x2762),x2762),x2762),f27(f24(x2763,x2761,x2762),x2762))
% 4.99/5.08 [295]E(f20(f28(x2951,x2952,x2953),f24(x2952,f4(x2953),x2953),x2953),f24(x2952,f28(x2951,x2952,x2953),x2953))
% 4.99/5.08 [272]E(f31(f31(f8(a2),x2721),f31(f31(f8(a2),x2722),x2723)),f31(f31(f8(a2),x2722),f31(f31(f8(a2),x2721),x2723)))
% 4.99/5.08 [287]E(f5(f20(x2871,f24(x2872,f4(x2873),x2873),x2873),x2873),x2871)
% 4.99/5.08 [288]E(f25(f20(x2881,f24(x2882,f4(x2883),x2883),x2883),x2883),x2882)
% 4.99/5.08 [293]E(f31(f31(a13,f31(f31(a17,x2931),x2932)),f31(f31(a17,x2933),x2932)),f31(f31(a17,f31(f31(a13,x2931),x2933)),x2932))
% 4.99/5.08 [296]E(f27(f20(f27(x2961,x2962),f24(x2963,f4(x2962),x2962),x2962),x2962),f24(x2963,x2961,x2962))
% 4.99/5.08 [330]E(f26(a13,x3301,f20(x3302,f24(x3303,f4(a56),a56),a56),a56,a56),f31(f31(a13,f26(a13,x3301,x3302,a56,a56)),x3303))
% 4.99/5.08 [332]E(f26(a13,f31(f31(a17,x3321),x3322),f29(f31(f9(a17,a56,a2,a56),x3322),x3323,a56,a56),a56,a56),f31(f31(a17,f26(a13,x3321,x3323,a56,a56)),x3322))
% 4.99/5.08 [289]E(f31(f31(f8(a2),f31(f31(f8(a2),x2891),x2892)),x2893),f31(f31(f8(a2),x2891),f31(f31(f8(a2),x2892),x2893)))
% 4.99/5.08 [290]E(f31(f31(f31(a21,f31(f31(a17,x2901),x2902)),x2903),x2902),x2901)
% 4.99/5.08 [270]E(f52(x2701,x2702,f42(x2703),x2704),f31(x2701,x2703))
% 4.99/5.08 [271]E(f54(x2711,x2712,f42(x2713),x2714),f31(x2711,x2713))
% 4.99/5.08 [282]E(f24(x2821,f20(x2822,x2823,x2824),x2824),f20(f24(x2821,x2822,x2824),x2823,x2824))
% 4.99/5.08 [284]E(f20(f20(x2841,x2842,x2843),x2844,x2843),f20(x2841,f20(x2842,x2844,x2843),x2843))
% 4.99/5.08 [285]E(f33(f38(x2851),f24(x2852,x2853,x2854),x2854),f24(x2852,f33(x2851,x2853,x2854),x2854))
% 4.99/5.08 [298]E(f31(f43(x2981,x2982,x2983,x2984),x2982),x2983)
% 4.99/5.08 [299]E(f32(f29(x2991,x2992,x2993,x2994),f55(x2994)),f32(x2992,f55(x2993)))
% 4.99/5.08 [300]E(f20(f28(x3001,x3002,x3003),f28(x3004,x3002,x3003),x3003),f20(f28(x3004,x3002,x3003),f28(x3001,x3002,x3003),x3003))
% 4.99/5.08 [302]E(f27(f29(x3021,x3022,x3023,x3024),x3024),f29(x3021,f27(x3022,x3023),x3023,x3024))
% 4.99/5.08 [310]E(f26(x3101,x3102,f4(x3103),x3104,x3103),x3102)
% 4.99/5.08 [370]~E(f26(a13,f12(x3701),x3702,a56,a56),f26(a13,f15(x3703),x3704,a56,a56))
% 4.99/5.08 [297]E(f31(f31(a13,f16(x2971,x2972,x2973)),f16(x2971,x2974,x2973)),f16(x2971,f31(f31(a13,x2972),x2974),x2973))
% 4.99/5.08 [301]E(f24(x3011,f20(f28(x3012,x3011,x3013),x3014,x3013),x3013),f20(f28(x3012,x3011,x3013),f24(x3011,x3014,x3013),x3013))
% 4.99/5.08 [321]E(f26(f9(x3211,x3212,x3213,x3213),x3214,f27(f4(x3212),x3212),x3213,x3212),x3214)
% 4.99/5.08 [369]~E(f31(f31(a13,f15(x3691)),x3692),f26(a13,f12(x3693),x3694,a56,a56))
% 4.99/5.08 [291]E(f20(f28(x2911,x2912,x2913),f28(x2914,x2912,x2913),x2913),f28(f31(f31(f8(a2),x2911),x2914),x2912,x2913))
% 4.99/5.08 [305]E(f31(f31(a13,f31(f31(f31(a21,x3051),x3052),x3053)),f31(f31(f31(a21,x3054),x3052),x3053)),f31(f31(f31(a21,f31(f31(a13,x3051),x3054)),x3052),x3053))
% 4.99/5.08 [337]E(f26(a13,f31(f31(f31(a21,x3371),x3372),x3373),f29(f31(f9(f31(f9(a21,a56,a56,f59(a2,a56)),x3372),a56,a2,a56),x3373),x3374,a56,a56),a56,a56),f31(f31(f31(a21,f26(a13,x3371,x3374,a56,a56)),x3372),x3373))
% 4.99/5.08 [294]E(f29(x2941,f28(x2942,x2943,x2944),x2944,x2945),f28(x2942,f31(x2941,x2943),x2945))
% 4.99/5.08 [304]E(f33(x3041,f29(x3042,x3043,x3044,x3045),x3045),f29(x3042,f33(x3041,x3043,x3044),x3044,x3045))
% 4.99/5.08 [307]E(f29(x3071,f24(x3072,x3073,x3074),x3074,x3075),f24(f31(x3071,x3072),f29(x3071,x3073,x3074,x3075),x3075))
% 4.99/5.08 [308]E(f24(f31(x3081,x3082),f29(x3081,x3083,x3084,x3085),x3085),f29(x3081,f24(x3082,x3083,x3084),x3084,x3085))
% 4.99/5.08 [314]E(f18(x3141,x3142,x3143,f15(x3144),x3145),f31(x3143,x3144))
% 4.99/5.08 [315]E(f18(x3151,x3152,x3153,f12(x3154),x3155),f31(x3151,x3154))
% 4.99/5.08 [316]E(f19(x3161,x3162,x3163,f12(x3164),x3165),f31(x3161,x3164))
% 4.99/5.08 [319]E(f20(f29(x3191,x3192,x3193,x3194),f29(x3191,x3195,x3193,x3194),x3194),f29(x3191,f20(x3192,x3195,x3193),x3193,x3194))
% 4.99/5.08 [320]E(f43(f43(x3201,f7(a2),x3202,x3203),f38(x3204),x3205,x3203),f43(f43(x3201,x3204,x3205,x3203),f7(a2),x3202,x3203))
% 4.99/5.08 [326]E(f31(f31(x3261,x3262),f19(x3263,x3264,x3261,x3262,x3265)),f19(x3263,x3264,x3261,f15(x3262),x3265))
% 4.99/5.08 [286]E(f52(x2861,x2862,f31(f31(a53,x2863),x2864),x2865),f31(f31(x2862,x2863),x2864))
% 4.99/5.08 [322]E(f31(f31(f31(f31(x3221,x3222),x3223),f54(x3224,x3221,x3222,x3225)),f54(x3224,x3221,x3223,x3225)),f54(x3224,x3221,f31(f31(a53,x3222),x3223),x3225))
% 4.99/5.08 [327]E(f26(f9(f9(x3271,x3272,x3273,x3272),x3273,x3272,x3272),x3274,f27(f27(x3275,x3273),x3273),x3272,x3273),f26(x3271,x3274,x3275,x3272,x3273))
% 4.99/5.08 [323]E(f31(f10(x3231,x3232,x3233,x3234,x3235),x3236),f31(x3231,f31(x3232,x3236)))
% 4.99/5.08 [328]E(f26(x3281,f26(x3281,x3282,x3283,x3284,x3285),x3286,x3284,x3285),f26(x3281,x3282,f20(x3283,x3286,x3285),x3284,x3285))
% 4.99/5.08 [309]E(f31(f31(f9(x3091,x3092,x3093,x3094),x3095),x3096),f31(f31(x3091,x3096),x3095))
% 4.99/5.08 [318]E(f18(x3181,x3182,x3183,f31(f31(a13,x3184),x3185),x3186),f31(f31(x3182,x3184),x3185))
% 4.99/5.08 [325]E(f26(x3251,x3252,f24(x3253,x3254,x3255),x3256,x3255),f26(x3251,f31(f31(x3251,x3252),x3253),x3254,x3256,x3255))
% 4.99/5.08 [329]E(f26(f9(x3291,x3292,x3293,x3293),x3294,f27(f24(x3295,x3296,x3292),x3292),x3293,x3292),f31(f31(x3291,x3295),f26(f9(x3291,x3292,x3293,x3293),x3294,f27(x3296,x3292),x3293,x3292)))
% 4.99/5.08 [331]E(f26(f9(x3311,x3312,x3313,x3313),f26(f9(x3311,x3312,x3313,x3313),x3314,f27(x3315,x3312),x3313,x3312),f27(x3316,x3312),x3313,x3312),f26(f9(x3311,x3312,x3313,x3313),x3314,f27(f20(x3316,x3315,x3312),x3312),x3313,x3312))
% 4.99/5.08 [333]E(f31(f31(f31(f31(x3331,x3332),x3333),f19(x3334,x3331,x3335,x3332,x3336)),f19(x3334,x3331,x3335,x3333,x3336)),f19(x3334,x3331,x3335,f31(f31(a13,x3332),x3333),x3336))
% 4.99/5.08 [385]E(x3851,f7(a2))+P4(f7(a2),x3851,a2)
% 4.99/5.08 [485]P8(f39(a14,a56,a56),x4851,a56)+~P27(f31(a6,x4851))
% 4.99/5.08 [508]~P8(f39(a14,a56,a56),x5081,a56)+P27(f31(a6,x5081))
% 4.99/5.08 [376]~P23(x3761)+E(f36(f7(a2),x3761),f7(x3761))
% 4.99/5.08 [398]~P16(x3981)+E(f31(f31(f8(x3981),f7(x3981)),f7(x3981)),f7(x3981))
% 4.99/5.08 [399]~P27(f31(a6,x3991))+P27(f31(a6,f15(x3991)))
% 4.99/5.08 [426]E(x4261,f7(a2))+~P4(x4261,f38(f7(a2)),a2)
% 4.99/5.08 [613]~P5(a6,x6131,a56)+P5(a6,f29(f31(f9(a17,a56,a2,a56),f7(a2)),x6131,a56,a56),a56)
% 4.99/5.08 [406]~P4(x4062,x4062,x4061)+~P20(x4061)
% 4.99/5.08 [407]~P4(x4072,x4072,x4071)+~P22(x4071)
% 4.99/5.08 [408]~P4(x4082,x4082,x4081)+~P21(x4081)
% 4.99/5.08 [372]E(x3721,x3722)+~E(f38(x3721),f38(x3722))
% 4.99/5.08 [373]E(x3731,x3732)+~E(f15(x3731),f15(x3732))
% 4.99/5.08 [374]E(x3741,x3742)+~E(f12(x3741),f12(x3742))
% 4.99/5.08 [375]E(x3751,x3752)+~E(f42(x3751),f42(x3752))
% 4.99/5.08 [378]~E(f27(x3781,x3782),f4(x3782))+E(x3781,f4(x3782))
% 4.99/5.08 [379]~E(f30(x3791,x3792),f4(x3792))+E(x3791,f4(x3792))
% 4.99/5.08 [380]~P20(x3802)+P20(f59(x3801,x3802))
% 4.99/5.08 [381]~P22(x3812)+P22(f59(x3811,x3812))
% 4.99/5.08 [432]P4(x4321,x4322,a2)+P4(x4322,f38(x4321),a2)
% 4.99/5.08 [449]~P4(x4491,x4492,a2)+P4(x4491,f38(x4492),a2)
% 4.99/5.08 [450]~P24(x4501)+~P4(f36(x4502,x4501),f7(x4501),x4501)
% 4.99/5.08 [451]P4(x4511,x4512,a2)+~P4(f38(x4511),x4512,a2)
% 4.99/5.08 [461]~P4(x4611,x4612,a2)+P4(f38(x4611),f38(x4612),a2)
% 4.99/5.08 [462]P4(x4621,x4622,a2)+~P4(f38(x4621),f38(x4622),a2)
% 4.99/5.08 [474]~P4(x4741,x4742,a2)+~P4(x4742,f38(x4741),a2)
% 4.99/5.08 [382]E(x3821,f4(x3822))+~E(f32(x3821,f55(x3822)),f7(a2))
% 4.99/5.08 [386]~P1(x3861)+E(f31(f31(f8(x3861),x3862),f7(x3861)),x3862)
% 4.99/5.08 [387]~P2(x3871)+E(f31(f31(f8(x3871),x3872),f7(x3871)),x3872)
% 4.99/5.08 [388]~P15(x3881)+E(f31(f31(f8(x3881),x3882),f7(x3881)),x3882)
% 4.99/5.08 [419]P27(f31(x4191,x4192))+~P27(f31(x4191,f44(x4191)))
% 4.99/5.08 [420]E(x4201,f4(x4202))+P4(f7(a2),f32(x4201,f55(x4202)),a2)
% 4.99/5.08 [500]~P27(f31(f31(a14,x5001),x5002))+P27(f31(f31(a14,f15(x5001)),f15(x5002)))
% 4.99/5.08 [623]~P15(x6231)+E(f26(f9(f8(x6231),x6231,x6231,x6231),f7(x6231),f27(x6232,x6231),x6231,x6231),f26(f8(x6231),f7(x6231),x6232,x6231,x6231))
% 4.99/5.08 [390]~P1(x3901)+E(f31(f31(f8(x3901),f7(x3901)),x3902),x3902)
% 4.99/5.08 [391]~P2(x3911)+E(f31(f31(f8(x3911),f7(x3911)),x3912),x3912)
% 4.99/5.08 [392]~P15(x3921)+E(f31(f31(f8(x3921),f7(x3921)),x3922),x3922)
% 4.99/5.08 [395]E(x3951,f7(a2))+~E(f31(f31(f8(a2),x3952),x3951),x3952)
% 4.99/5.08 [396]E(x3961,f7(a2))+~E(f31(f31(f8(a2),x3962),x3961),f7(a2))
% 4.99/5.08 [397]E(x3971,f7(a2))+~E(f31(f31(f8(a2),x3971),x3972),f7(a2))
% 4.99/5.08 [446]~P4(x4461,x4462,a2)+E(f31(f31(a17,f12(x4461)),x4462),f12(x4461))
% 4.99/5.08 [492]~P27(f31(a6,x4921))+P27(f31(a6,f31(f31(a17,x4921),x4922)))
% 4.99/5.08 [505]~P27(f31(a6,x5051))+P27(f31(a6,f31(f31(a13,x5051),f12(x5052))))
% 4.99/5.08 [507]E(x5071,f4(x5072))+E(f20(f5(x5071,x5072),f24(f25(x5071,x5072),f4(x5072),x5072),x5072),x5071)
% 4.99/5.08 [554]P27(f31(f31(f37(a14,a56),f15(x5541)),f15(x5542)))+~P27(f31(f31(f37(a14,a56),x5541),x5542))
% 4.99/5.08 [637]~P5(a6,x6372,a56)+P27(f31(a6,f26(a13,f12(x6371),x6372,a56,a56)))
% 4.99/5.08 [383]E(x3831,x3832)+~E(f27(x3831,x3833),f27(x3832,x3833))
% 4.99/5.08 [404]~E(f20(x4043,x4041,x4042),x4043)+E(x4041,f4(x4042))
% 4.99/5.08 [405]~E(f20(x4051,x4053,x4052),x4053)+E(x4051,f4(x4052))
% 4.99/5.08 [410]~E(f28(x4101,x4102,x4103),f4(x4103))+E(x4101,f7(a2))
% 4.99/5.08 [417]~E(f20(x4173,x4171,x4172),f4(x4172))+E(x4171,f4(x4172))
% 4.99/5.08 [418]~E(f20(x4181,x4183,x4182),f4(x4182))+E(x4181,f4(x4182))
% 4.99/5.08 [602]~E(f15(x6022),f26(a13,x6023,x6021,a56,a56))+E(x6021,f4(a56))
% 4.99/5.08 [603]~E(f12(x6032),f26(a13,x6033,x6031,a56,a56))+E(x6031,f4(a56))
% 4.99/5.08 [604]~E(f26(a13,x6042,x6041,a56,a56),f15(x6043))+E(x6041,f4(a56))
% 4.99/5.08 [605]E(x6051,f15(x6052))+~E(f26(a13,x6051,x6053,a56,a56),f15(x6052))
% 4.99/5.08 [606]E(f15(x6061),x6062)+~E(f15(x6061),f26(a13,x6062,x6063,a56,a56))
% 4.99/5.08 [607]E(f12(x6071),x6072)+~E(f12(x6071),f26(a13,x6072,x6073,a56,a56))
% 4.99/5.08 [628]E(x6281,x6282)+~E(f26(a13,x6281,x6283,a56,a56),f26(a13,x6282,x6283,a56,a56))
% 4.99/5.08 [445]E(x4451,f7(a2))+E(f25(f28(x4451,x4452,x4453),x4453),x4452)
% 4.99/5.08 [447]E(x4471,f4(x4472))+E(f25(f24(x4473,x4471,x4472),x4472),f25(x4471,x4472))
% 4.99/5.08 [448]E(x4481,f4(x4482))+E(f25(f20(x4483,x4481,x4482),x4482),f25(x4481,x4482))
% 4.99/5.08 [455]~P4(x4552,x4553,a2)+E(f16(x4551,f12(x4552),x4553),f12(x4552))
% 4.99/5.08 [476]~E(f27(x4761,x4763),f24(x4762,f4(x4763),x4763))+E(x4761,f24(x4762,f4(x4763),x4763))
% 4.99/5.08 [477]~E(f24(x4772,f4(x4773),x4773),f27(x4771,x4773))+E(x4771,f24(x4772,f4(x4773),x4773))
% 4.99/5.08 [489]E(x4891,f4(x4892))+E(f24(x4893,f5(x4891,x4892),x4892),f5(f24(x4893,x4891,x4892),x4892))
% 4.99/5.08 [490]E(x4901,f4(x4902))+E(f20(x4903,f5(x4901,x4902),x4902),f5(f20(x4903,x4901,x4902),x4902))
% 4.99/5.08 [515]~P4(x5151,f32(x5152,f55(x5153)),a2)+E(f33(x5151,f5(x5152,x5153),x5153),f33(x5151,x5152,x5153))
% 4.99/5.08 [608]E(f31(f31(a13,x6081),x6082),x6083)+~E(f31(f31(a13,x6081),x6082),f26(a13,x6083,f4(a56),a56,a56))
% 4.99/5.08 [611]~P9(x6111,x6112,x6113)+P5(f10(f11(a58),f41(x6111),f59(a58,a3),a3,a56),x6112,a56)
% 4.99/5.08 [622]~P10(x6221)+E(f26(f9(f8(x6221),x6221,x6221,x6221),x6222,f27(x6223,x6221),x6221,x6221),f26(f8(x6221),x6222,x6223,x6221,x6221))
% 4.99/5.08 [653]~P27(f31(f31(a14,x6531),x6533))+P27(f31(f31(a14,f26(a13,x6531,x6532,a56,a56)),f26(a13,x6533,x6532,a56,a56)))
% 4.99/5.08 [655]~P6(a14,x6552,x6553,a56)+P27(f31(f31(a14,f26(a13,x6551,x6552,a56,a56)),f26(a13,x6551,x6553,a56,a56)))
% 4.99/5.08 [430]~P1(x4301)+E(f31(f31(f8(x4301),x4302),x4303),f31(f31(f8(x4301),x4303),x4302))
% 4.99/5.08 [431]~P2(x4311)+E(f31(f31(f8(x4311),x4312),x4313),f31(f31(f8(x4311),x4313),x4312))
% 4.99/5.08 [453]E(x4531,x4532)+~E(f31(f31(f8(a2),x4533),x4531),f31(f31(f8(a2),x4533),x4532))
% 4.99/5.08 [454]E(x4541,x4542)+~E(f31(f31(f8(a2),x4541),x4543),f31(f31(f8(a2),x4542),x4543))
% 4.99/5.08 [465]E(x4651,x4652)+~P27(f31(f31(f40(x4653),x4651),x4652))
% 4.99/5.08 [493]E(f31(x4931,x4932),x4933)+~P27(f31(f31(f41(x4931),f12(x4932)),x4933))
% 4.99/5.08 [495]~P4(x4951,x4953,a2)+P4(x4951,f31(f31(f8(a2),x4952),x4953),a2)
% 4.99/5.08 [497]~P4(x4971,x4972,a2)+P4(x4971,f31(f31(f8(a2),x4972),x4973),a2)
% 4.99/5.08 [514]P4(x5141,x5142,a2)+~P4(f31(f31(f8(a2),x5141),x5143),x5142,a2)
% 4.99/5.08 [524]~P4(x5241,x5243,a2)+P4(f31(f31(f8(a2),x5241),x5242),f31(f31(f8(a2),x5243),x5242),a2)
% 4.99/5.08 [525]~P4(x5252,x5253,a2)+P4(f31(f31(f8(a2),x5251),x5252),f31(f31(f8(a2),x5251),x5253),a2)
% 4.99/5.08 [549]P4(x5491,x5492,a2)+~P4(f31(f31(f8(a2),x5493),x5491),f31(f31(f8(a2),x5493),x5492),a2)
% 4.99/5.08 [562]E(f31(f31(a53,f47(x5621,x5622,x5623)),f49(x5621,x5622,x5623)),x5621)+~P27(f31(f31(f41(x5622),f15(x5623)),x5621))
% 4.99/5.08 [567]~P27(f31(f31(a14,x5671),x5673))+P27(f31(f31(a14,f31(f31(a13,x5671),x5672)),f31(f31(a13,x5673),x5672)))
% 4.99/5.08 [568]~P27(f31(f31(a14,x5682),x5683))+P27(f31(f31(a14,f31(f31(a13,x5681),x5682)),f31(f31(a13,x5681),x5683)))
% 4.99/5.08 [569]~P27(f31(f31(a14,x5691),x5693))+P27(f31(f31(a14,f31(f31(a17,x5691),x5692)),f31(f31(a17,x5693),x5692)))
% 4.99/5.08 [577]~P27(f31(f31(f37(a14,a56),x5771),x5773))+P27(f31(f31(f37(a14,a56),f31(f31(a13,x5771),x5772)),f31(f31(a13,x5773),x5772)))
% 4.99/5.08 [578]~P27(f31(f31(f37(a14,a56),x5782),x5783))+P27(f31(f31(f37(a14,a56),f31(f31(a13,x5781),x5782)),f31(f31(a13,x5781),x5783)))
% 4.99/5.08 [579]~P27(f31(f31(f37(a14,a56),x5791),x5793))+P27(f31(f31(f37(a14,a56),f31(f31(a17,x5791),x5792)),f31(f31(a17,x5793),x5792)))
% 4.99/5.08 [627]~P15(x6271)+E(f31(f31(f8(x6271),x6272),f26(f8(x6271),f7(x6271),x6273,x6271,x6271)),f26(f8(x6271),x6272,x6273,x6271,x6271))
% 4.99/5.08 [635]~P15(x6351)+E(f31(f31(f8(x6351),x6352),f26(f9(f8(x6351),x6351,x6351,x6351),f7(x6351),f27(x6353,x6351),x6351,x6351)),f26(f8(x6351),x6352,x6353,x6351,x6351))
% 4.99/5.08 [638]P27(f31(f31(f41(f43(x6381,f7(a2),f47(x6382,x6381,x6383),a58)),x6383),f49(x6382,x6381,x6383)))+~P27(f31(f31(f41(x6381),f15(x6383)),x6382))
% 4.99/5.08 [654]P27(f31(f31(f37(a14,a56),f26(a13,x6541,x6542,a56,a56)),f26(a13,x6543,x6542,a56,a56)))+~P27(f31(f31(f37(a14,a56),x6541),x6543))
% 4.99/5.08 [487]~P4(x4871,x4873,a2)+E(f31(f31(f31(a21,f12(x4871)),x4872),x4873),f12(x4871))
% 4.99/5.08 [491]P4(x4912,x4913,a2)+E(f16(x4911,f12(x4912),x4913),f12(f31(f31(f8(a2),x4912),x4911)))
% 4.99/5.08 [506]~P23(x5061)+E(f31(f31(f8(x5061),f36(x5062,x5061)),f36(x5063,x5061)),f36(f31(f31(f8(a2),x5062),x5063),x5061))
% 4.99/5.08 [555]~P27(f31(a6,x5551))+P27(f31(a6,f31(f31(f31(a21,x5551),f12(x5552)),x5553)))
% 4.99/5.08 [625]~E(f26(a13,f31(f31(a13,x6251),x6252),x6253,a56,a56),x6251)+E(f26(a13,f31(f31(a13,x6251),x6252),f20(x6253,f24(x6252,f4(a56),a56),a56),a56,a56),f31(f31(a13,x6251),x6252))
% 4.99/5.08 [656]P6(a14,x6561,f23(x6562,x6561,x6563),a56)+~P27(f31(f31(a14,f26(a13,f12(x6562),x6561,a56,a56)),x6563))
% 4.99/5.08 [660]E(f26(a13,f12(x6601),f23(x6601,x6602,x6603),a56,a56),x6603)+~P27(f31(f31(a14,f26(a13,f12(x6601),x6602,a56,a56)),x6603))
% 4.99/5.08 [467]E(x4671,x4672)+~E(f20(x4673,x4671,x4674),f20(x4673,x4672,x4674))
% 4.99/5.08 [470]E(x4701,x4702)+~E(f20(x4701,x4703,x4704),f20(x4702,x4703,x4704))
% 4.99/5.08 [518]P5(x5181,x5182,x5183)+~P5(x5181,f20(x5184,x5182,x5183),x5183)
% 4.99/5.08 [519]P5(x5191,x5192,x5193)+~P5(x5191,f20(x5192,x5194,x5193),x5193)
% 4.99/5.08 [542]~E(f29(x5423,x5421,x5422,x5424),f4(x5424))+E(x5421,f4(x5422))
% 4.99/5.08 [434]E(x4341,x4342)+~E(f31(f31(a13,x4343),x4341),f31(f31(a13,x4344),x4342))
% 4.99/5.08 [435]E(x4351,x4352)+~E(f31(f31(a53,x4353),x4351),f31(f31(a53,x4354),x4352))
% 4.99/5.08 [436]E(x4361,x4362)+~E(f31(f31(a13,x4361),x4363),f31(f31(a13,x4362),x4364))
% 4.99/5.08 [437]E(x4371,x4372)+~E(f31(f31(a53,x4371),x4373),f31(f31(a53,x4372),x4374))
% 4.99/5.08 [630]E(x6301,x6302)+~E(f26(a13,f15(x6303),x6301,a56,a56),f26(a13,f15(x6304),x6302,a56,a56))
% 4.99/5.08 [631]E(x6311,x6312)+~E(f26(a13,f12(x6313),x6311,a56,a56),f26(a13,f12(x6314),x6312,a56,a56))
% 4.99/5.08 [632]E(x6321,x6322)+~E(f26(a13,f15(x6321),x6323,a56,a56),f26(a13,f15(x6322),x6324,a56,a56))
% 4.99/5.08 [633]E(x6331,x6332)+~E(f26(a13,f12(x6331),x6333,a56,a56),f26(a13,f12(x6332),x6334,a56,a56))
% 4.99/5.08 [517]~E(f27(x5171,x5173),f24(x5174,x5172,x5173))+E(x5171,f20(f27(x5172,x5173),f24(x5174,f4(x5173),x5173),x5173))
% 4.99/5.08 [520]~P27(f31(f31(x5201,x5203),x5204))+P27(f31(f31(f37(x5201,x5202),x5203),x5204))
% 4.99/5.08 [597]P27(f31(x5971,f31(x5972,x5973)))+~P27(f31(x5971,f52(x5972,x5974,f42(x5973),a57)))
% 4.99/5.08 [657]P9(x6571,x6572,f45(x6573,x6571,x6574,x6572))+~P27(f31(f31(f41(x6571),f26(a13,x6574,x6572,a56,a56)),x6573))
% 4.99/5.08 [658]P9(x6581,x6582,f46(x6583,x6581,x6584,x6582))+~P27(f31(f31(f41(x6581),f26(a13,x6584,x6582,a56,a56)),x6583))
% 4.99/5.08 [521]~P1(x5211)+E(f31(f31(f8(x5211),x5212),f31(f31(f8(x5211),x5213),x5214)),f31(f31(f8(x5211),x5213),f31(f31(f8(x5211),x5212),x5214)))
% 4.99/5.08 [522]~P2(x5221)+E(f31(f31(f8(x5221),x5222),f31(f31(f8(x5221),x5223),x5224)),f31(f31(f8(x5221),x5223),f31(f31(f8(x5221),x5222),x5224)))
% 4.99/5.08 [523]~P11(x5231)+E(f31(f31(f8(x5231),x5232),f31(f31(f8(x5231),x5233),x5234)),f31(f31(f8(x5231),x5233),f31(f31(f8(x5231),x5232),x5234)))
% 4.99/5.08 [589]~P27(f31(f31(a14,x5891),x5894))+P27(f31(f31(a14,f31(f31(f31(a21,x5891),x5892),x5893)),f31(f31(f31(a21,x5894),x5892),x5893)))
% 4.99/5.08 [590]~P27(f31(f31(a14,x5902),x5904))+P27(f31(f31(f37(a14,a56),f31(f31(f31(a21,x5901),x5902),x5903)),f31(f31(f31(a21,x5901),x5904),x5903)))
% 4.99/5.08 [591]~P27(f31(f31(f37(x5911,x5912),x5914),x5913))+P27(f31(f31(f37(f39(x5911,x5912,x5912),x5912),x5913),x5914))
% 4.99/5.08 [592]~P27(f31(f31(f37(a14,a56),x5921),x5924))+P27(f31(f31(f37(a14,a56),f31(f31(f31(a21,x5921),x5922),x5923)),f31(f31(f31(a21,x5924),x5922),x5923)))
% 4.99/5.08 [593]~P27(f31(f31(f37(a14,a56),x5932),x5934))+P27(f31(f31(f37(a14,a56),f31(f31(f31(a21,x5931),x5932),x5933)),f31(f31(f31(a21,x5931),x5934),x5933)))
% 4.99/5.08 [598]P27(f31(f31(f41(x5981),x5982),f48(x5983,x5981,x5984,x5982)))+~P27(f31(f31(f41(x5981),f31(f31(a13,x5984),x5982)),x5983))
% 4.99/5.08 [601]P27(f31(f31(f37(x6011,x6012),x6013),x6014))+~P27(f31(f31(f37(f39(x6011,x6012,x6012),x6012),x6014),x6013))
% 4.99/5.08 [629]~P14(x6291)+E(f26(f8(x6291),f31(f31(f8(x6291),x6292),x6293),x6294,x6291,x6291),f31(f31(f8(x6291),x6292),f26(f8(x6291),x6293,x6294,x6291,x6291)))
% 4.99/5.08 [636]~P27(f31(f31(f41(x6361),f31(f31(a13,x6362),x6364)),x6363))+P27(f31(f31(f41(x6361),x6362),f31(f31(a53,f48(x6363,x6361,x6362,x6364)),x6363)))
% 4.99/5.08 [659]P9(x6591,x6592,f50(x6593,x6591,x6594,x6592))+~P27(f31(f31(f41(x6591),f26(a13,f12(x6594),x6592,a56,a56)),x6593))
% 4.99/5.08 [663]~P27(f31(f31(f41(x6631),f26(a13,x6632,x6634,a56,a56)),x6633))+P27(f31(f31(f41(x6631),x6632),f26(f9(a53,a58,a58,a58),x6633,f27(f45(x6633,x6631,x6632,x6634),a58),a58,a58)))
% 4.99/5.08 [664]~P27(f31(f31(f41(x6641),f26(a13,x6642,x6644,a56,a56)),x6643))+P27(f31(f31(f41(x6641),x6642),f26(f9(a53,a58,a58,a58),x6643,f27(f46(x6643,x6641,x6642,x6644),a58),a58,a58)))
% 4.99/5.08 [665]~P27(f31(f31(f41(x6651),f26(a13,f12(x6652),x6654,a56,a56)),x6653))+P27(f31(f31(f41(x6651),f12(x6652)),f26(f9(a53,a58,a58,a58),x6653,f27(f50(x6653,x6651,x6652,x6654),a58),a58,a58)))
% 4.99/5.08 [546]~P1(x5461)+E(f31(f31(f8(x5461),f31(f31(f8(x5461),x5462),x5463)),x5464),f31(f31(f8(x5461),x5462),f31(f31(f8(x5461),x5463),x5464)))
% 4.99/5.08 [547]~P2(x5471)+E(f31(f31(f8(x5471),f31(f31(f8(x5471),x5472),x5473)),x5474),f31(f31(f8(x5471),x5472),f31(f31(f8(x5471),x5473),x5474)))
% 4.99/5.08 [548]~P10(x5481)+E(f31(f31(f8(x5481),f31(f31(f8(x5481),x5482),x5483)),x5484),f31(f31(f8(x5481),x5482),f31(f31(f8(x5481),x5483),x5484)))
% 4.99/5.08 [558]~P1(x5581)+E(f31(f31(f8(x5581),f31(f31(f8(x5581),x5582),x5583)),x5584),f31(f31(f8(x5581),f31(f31(f8(x5581),x5582),x5584)),x5583))
% 4.99/5.08 [640]P27(f31(f31(f41(x6401),f15(x6402)),f31(f31(a53,x6403),x6404)))+~P27(f31(f31(f41(f43(x6401,f7(a2),x6403,a58)),x6402),x6404))
% 4.99/5.08 [466]E(x4661,x4662)+~E(f24(x4663,x4661,x4664),f24(x4665,x4662,x4664))
% 4.99/5.08 [468]E(x4681,x4682)+~E(f28(x4681,x4683,x4684),f28(x4682,x4685,x4684))
% 4.99/5.08 [469]E(x4691,x4692)+~E(f24(x4691,x4693,x4694),f24(x4692,x4695,x4694))
% 4.99/5.08 [580]~P6(x5801,x5803,x5805,x5804)+P6(x5801,f24(x5802,x5803,x5804),f24(x5802,x5805,x5804),x5804)
% 4.99/5.08 [581]~P6(x5811,x5812,x5815,x5814)+P6(x5811,f20(x5812,x5813,x5814),f20(x5815,x5813,x5814),x5814)
% 4.99/5.08 [582]~P6(x5821,x5823,x5825,x5824)+P6(x5821,f20(x5822,x5823,x5824),f20(x5822,x5825,x5824),x5824)
% 4.99/5.08 [563]P6(x5631,f24(x5632,x5633,x5634),f24(x5635,x5633,x5634),x5634)+~P27(f31(f31(x5631,x5632),x5635))
% 4.99/5.08 [564]~P4(x5645,x5642,a2)+E(f31(f43(x5641,x5642,x5643,x5644),x5645),f31(x5641,x5645))
% 4.99/5.08 [576]~E(f29(x5764,x5761,x5762,x5765),f29(x5764,x5763,x5762,x5765))+E(f32(x5761,f55(x5762)),f32(x5763,f55(x5762)))
% 4.99/5.08 [560]E(x5601,x5602)+~E(f20(x5603,f24(x5601,f4(x5604),x5604),x5604),f20(x5605,f24(x5602,f4(x5604),x5604),x5604))
% 4.99/5.08 [561]E(x5611,x5612)+~E(f20(x5611,f24(x5613,f4(x5614),x5614),x5614),f20(x5612,f24(x5615,f4(x5614),x5614),x5614))
% 4.99/5.08 [571]~P27(f31(f31(x5711,x5715),x5714))+P27(f31(f31(f39(x5711,x5712,x5713),x5714),x5715))
% 4.99/5.08 [584]P27(f31(f31(x5841,x5842),x5843))+~P27(f31(f31(f39(x5841,x5844,x5845),x5843),x5842))
% 4.99/5.08 [624]~P9(x6241,x6244,x6245)+P9(f43(x6241,x6242,x6243,a58),f29(f31(f9(a17,a56,a2,a56),x6242),x6244,a56,a56),x6245)
% 4.99/5.08 [646]P27(f31(x6461,f31(x6462,x6463)))+~P27(f31(x6461,f18(x6464,x6465,x6462,f15(x6463),a57)))
% 4.99/5.08 [648]P27(f31(x6481,f31(x6482,x6483)))+~P27(f31(x6481,f18(x6482,x6484,x6485,f12(x6483),a57)))
% 4.99/5.08 [572]~P1(x5721)+E(f31(f31(f8(x5721),f31(f31(f8(x5721),x5722),x5723)),f31(f31(f8(x5721),x5724),x5725)),f31(f31(f8(x5721),f31(f31(f8(x5721),x5722),x5724)),f31(f31(f8(x5721),x5723),x5725)))
% 4.99/5.08 [610]P27(f31(x6101,f31(f31(x6102,x6103),x6104)))+~P27(f31(x6101,f52(x6105,x6102,f31(f31(a53,x6103),x6104),a57)))
% 4.99/5.08 [634]~P27(f31(f31(f41(x6341),x6344),x6345))+P27(f31(f31(f41(f43(x6341,x6342,x6343,a58)),f31(f31(a17,x6344),x6342)),x6345))
% 4.99/5.08 [650]P27(f31(x6501,f31(f31(x6502,x6503),x6504)))+~P27(f31(x6501,f18(x6505,x6502,x6506,f31(f31(a13,x6503),x6504),a57)))
% 4.99/5.08 [661]~P9(f43(a65,a1,a61,a58),a64,x6611)+P28(a500)+~P27(f31(f31(f41(f43(a65,a1,a61,a58)),f31(f31(a13,f12(a67)),a60)),f26(f9(a53,a58,a58,a58),a62,f27(x6611,a58),a58,a58)))
% 4.99/5.08 [428]E(x4281,x4282)+P4(x4282,x4281,a2)+P4(x4281,x4282,a2)
% 4.99/5.08 [456]~P4(x4561,x4562,a2)+E(f38(x4561),x4562)+P4(f38(x4561),x4562,a2)
% 4.99/5.08 [457]E(x4571,x4572)+P4(x4572,x4571,a2)+~P4(x4572,f38(x4571),a2)
% 4.99/5.08 [459]E(x4591,x4592)+P4(x4591,x4592,a2)+~P4(x4591,f38(x4592),a2)
% 4.99/5.08 [483]~P24(x4831)+P4(f7(x4831),f36(x4832,x4831),x4831)+~P4(f7(a2),x4832,a2)
% 4.99/5.08 [488]~P24(x4882)+~P4(f7(x4882),f36(x4881,x4882),x4882)+P4(f7(a2),x4881,a2)
% 4.99/5.08 [393]~P25(x3931)+~P7(x3931)+E(f31(f31(f8(x3931),x3932),f7(x3931)),x3932)
% 4.99/5.08 [401]E(x4011,f7(a2))+E(x4012,f7(a2))+~E(f31(f31(f8(a2),x4012),x4011),f38(f7(a2)))
% 4.99/5.08 [413]E(x4131,f7(a2))+E(x4131,f38(f7(a2)))+~E(f31(f31(f8(a2),x4132),x4131),f38(f7(a2)))
% 4.99/5.08 [414]E(x4141,f7(a2))+E(x4141,f38(f7(a2)))+~E(f31(f31(f8(a2),x4141),x4142),f38(f7(a2)))
% 4.99/5.08 [422]E(x4221,f38(f7(a2)))+E(x4222,f38(f7(a2)))+~E(f31(f31(f8(a2),x4222),x4221),f38(f7(a2)))
% 4.99/5.08 [423]~P16(x4232)+E(x4231,f7(x4232))+~E(f31(f31(f8(x4232),x4231),x4231),f7(x4232))
% 4.99/5.08 [509]~P16(x5091)+~P4(f7(x5091),x5092,x5091)+P4(f7(x5091),f31(f31(f8(x5091),x5092),x5092),x5091)
% 4.99/5.08 [510]~P16(x5101)+~P4(x5102,f7(x5101),x5101)+P4(f31(f31(f8(x5101),x5102),x5102),f7(x5101),x5101)
% 4.99/5.08 [511]~P26(x5111)+~P4(x5112,f7(x5111),x5111)+P4(f31(f31(f8(x5111),x5112),x5112),f7(x5111),x5111)
% 4.99/5.08 [526]~P16(x5262)+P4(x5261,f7(x5262),x5262)+~P4(f31(f31(f8(x5262),x5261),x5261),f7(x5262),x5262)
% 4.99/5.08 [527]~P26(x5272)+P4(x5271,f7(x5272),x5272)+~P4(f31(f31(f8(x5272),x5271),x5271),f7(x5272),x5272)
% 4.99/5.08 [528]~P16(x5281)+P4(f7(x5281),x5282,x5281)+~P4(f7(x5281),f31(f31(f8(x5281),x5282),x5282),x5281)
% 4.99/5.08 [530]P4(f7(a2),x5301,a2)+P4(f7(a2),x5302,a2)+~P4(f7(a2),f31(f31(f8(a2),x5301),x5302),a2)
% 4.99/5.08 [478]~P4(x4783,x4782,x4781)+~P20(x4781)+~P4(x4782,x4783,x4781)
% 4.99/5.08 [480]~P4(x4803,x4802,x4801)+~P22(x4801)+~P4(x4802,x4803,x4801)
% 4.99/5.08 [481]~P4(x4813,x4812,x4811)+~P21(x4811)+~P4(x4812,x4813,x4811)
% 4.99/5.08 [384]~P3(x3843)+E(x3841,x3842)+~E(f36(x3841,x3843),f36(x3842,x3843))
% 4.99/5.08 [424]~E(f33(x4243,x4241,x4242),f4(x4242))+E(x4241,f4(x4242))+E(x4243,f7(a2))
% 4.99/5.08 [486]~P24(x4862)+~P4(x4861,x4863,a2)+P4(f36(x4861,x4862),f36(x4863,x4862),x4862)
% 4.99/5.08 [498]~P4(x4981,x4983,a2)+~P4(x4983,x4982,a2)+P4(f38(x4981),x4982,a2)
% 4.99/5.08 [499]~P24(x4993)+~P4(f36(x4991,x4993),f36(x4992,x4993),x4993)+P4(x4991,x4992,a2)
% 4.99/5.08 [464]E(x4641,x4642)+P4(x4642,x4641,a2)+E(f31(f31(f31(a21,f12(x4641)),x4643),x4642),f12(x4641))
% 4.99/5.08 [644]~P8(f39(a14,a56,a56),x6442,a56)+~P8(f39(a14,a56,a56),f26(a13,f31(f31(f31(a21,x6441),x6442),f7(a2)),x6443,a56,a56),a56)+P8(f39(a14,a56,a56),f26(a13,f31(f31(a13,f15(x6441)),x6442),x6443,a56,a56),a56)
% 4.99/5.08 [652]~P27(f31(a6,x6522))+~P27(f31(a6,f26(a13,f31(f31(f31(a21,x6521),x6522),f7(a2)),x6523,a56,a56)))+P27(f31(a6,f26(a13,f31(f31(a13,f15(x6521)),x6522),x6523,a56,a56)))
% 4.99/5.08 [529]~P5(x5291,x5293,x5294)+~P5(x5291,x5292,x5294)+P5(x5291,f20(x5292,x5293,x5294),x5294)
% 4.99/5.08 [443]P27(f31(x4431,x4432))+P27(f31(x4431,x4433))+~E(f44(x4431),f31(f31(a53,x4434),x4433))
% 4.99/5.08 [444]P27(f31(x4441,x4442))+P27(f31(x4441,x4443))+~E(f44(x4441),f31(f31(a53,x4443),x4444))
% 4.99/5.08 [513]P8(x5131,x5132,x5133)+~P8(x5131,x5134,x5133)+~P27(f31(f31(x5131,x5132),x5134))
% 4.99/5.08 [626]E(x6261,f4(a56))+E(f26(a13,x6262,f22(x6263,x6264,x6262,x6261),a56,a56),x6263)+~E(f31(f31(a13,x6263),x6264),f26(a13,x6262,x6261,a56,a56))
% 4.99/5.08 [471]~P12(x4713)+E(x4711,x4712)+~E(f31(f31(f8(x4713),x4714),x4711),f31(f31(f8(x4713),x4714),x4712))
% 4.99/5.08 [472]~P13(x4723)+E(x4721,x4722)+~E(f31(f31(f8(x4723),x4724),x4721),f31(f31(f8(x4723),x4724),x4722))
% 4.99/5.08 [473]~P13(x4733)+E(x4731,x4732)+~E(f31(f31(f8(x4733),x4731),x4734),f31(f31(f8(x4733),x4732),x4734))
% 4.99/5.08 [516]~P4(x5164,x5163,a2)+P4(x5161,x5162,a2)+~E(f31(f31(f8(a2),x5161),x5163),f31(f31(f8(a2),x5164),x5162))
% 4.99/5.08 [532]~P17(x5321)+~P4(x5322,x5324,x5321)+P4(f31(f31(f8(x5321),x5322),x5323),f31(f31(f8(x5321),x5324),x5323),x5321)
% 4.99/5.08 [533]~P18(x5331)+~P4(x5332,x5334,x5331)+P4(f31(f31(f8(x5331),x5332),x5333),f31(f31(f8(x5331),x5334),x5333),x5331)
% 4.99/5.08 [534]~P17(x5341)+~P4(x5343,x5344,x5341)+P4(f31(f31(f8(x5341),x5342),x5343),f31(f31(f8(x5341),x5342),x5344),x5341)
% 4.99/5.08 [535]~P18(x5351)+~P4(x5353,x5354,x5351)+P4(f31(f31(f8(x5351),x5352),x5353),f31(f31(f8(x5351),x5352),x5354),x5351)
% 4.99/5.08 [539]~P27(f31(f31(a14,x5394),x5392))+~P27(f31(f31(f41(x5391),x5394),x5393))+P27(f31(f31(f41(x5391),x5392),x5393))
% 4.99/5.08 [543]~P4(x5432,x5434,a2)+~P4(x5431,x5433,a2)+P4(f31(f31(f8(a2),x5431),x5432),f31(f31(f8(a2),x5433),x5434),a2)
% 4.99/5.08 [551]P8(x5511,x5512,x5513)+~P8(x5511,x5514,x5513)+~P27(f31(f31(f37(x5511,x5513),x5512),x5514))
% 4.99/5.08 [556]~P18(x5563)+P4(x5561,x5562,x5563)+~P4(f31(f31(f8(x5563),x5564),x5561),f31(f31(f8(x5563),x5564),x5562),x5563)
% 4.99/5.08 [557]~P18(x5573)+P4(x5571,x5572,x5573)+~P4(f31(f31(f8(x5573),x5571),x5574),f31(f31(f8(x5573),x5572),x5574),x5573)
% 4.99/5.08 [559]P27(f31(f31(f41(x5591),x5592),x5593))+~P27(f31(f31(f41(x5591),x5594),x5593))+~P27(f31(f31(f37(a14,a56),x5594),x5592))
% 4.99/5.08 [588]~P27(f31(f31(f37(a14,a56),x5881),x5883))+~P27(f31(f31(f37(a14,a56),x5882),x5884))+P27(f31(f31(f37(a14,a56),f31(f31(a13,x5881),x5882)),f31(f31(a13,x5883),x5884)))
% 4.99/5.08 [612]E(x6121,f4(a56))+~E(f31(f31(a13,x6122),x6123),f26(a13,x6124,x6121,a56,a56))+E(f20(f22(x6122,x6123,x6124,x6121),f24(x6123,f4(a56),a56),a56),x6121)
% 4.99/5.09 [475]E(x4751,x4752)+~E(f28(x4753,x4751,x4754),f28(x4755,x4752,x4754))+E(x4753,f7(a2))
% 4.99/5.09 [614]~E(f20(x6141,x6145,x6142),f24(x6143,x6144,x6142))+E(x6141,f4(x6142))+E(f24(x6143,f34(x6143,x6144,x6141,x6145,x6142),x6142),x6141)
% 4.99/5.09 [615]~E(f20(x6151,x6155,x6152),f24(x6153,x6154,x6152))+E(x6151,f4(x6152))+E(f20(f35(x6153,x6154,x6151,x6155,x6152),x6155,x6152),x6154)
% 4.99/5.09 [616]~E(f20(x6161,x6165,x6162),f24(x6163,x6164,x6162))+E(x6161,f4(x6162))+E(f24(x6163,f35(x6163,x6164,x6161,x6165,x6162),x6162),x6161)
% 4.99/5.09 [617]~E(f20(x6171,x6175,x6172),f24(x6173,x6174,x6172))+E(x6171,f4(x6172))+E(f20(f34(x6173,x6174,x6171,x6175,x6172),x6175,x6172),x6174)
% 4.99/5.09 [618]~E(f20(x6185,x6181,x6184),f24(x6182,x6183,x6184))+E(x6181,f24(x6182,x6183,x6184))+E(f24(x6182,f34(x6182,x6183,x6185,x6181,x6184),x6184),x6185)
% 4.99/5.09 [619]~E(f20(x6195,x6191,x6194),f24(x6192,x6193,x6194))+E(x6191,f24(x6192,x6193,x6194))+E(f20(f34(x6192,x6193,x6195,x6191,x6194),x6191,x6194),x6193)
% 4.99/5.09 [620]~E(f20(x6205,x6204,x6203),f24(x6201,x6202,x6203))+E(f24(x6201,x6202,x6203),x6204)+E(f20(f35(x6201,x6202,x6205,x6204,x6203),x6204,x6203),x6202)
% 4.99/5.09 [621]~E(f20(x6215,x6214,x6213),f24(x6211,x6212,x6213))+E(f24(x6211,x6212,x6213),x6214)+E(f24(x6211,f35(x6211,x6212,x6215,x6214,x6213),x6213),x6215)
% 4.99/5.09 [565]~P27(f31(f31(x5651,x5655),x5654))+~P27(f31(f31(f37(x5651,x5652),x5653),x5655))+P27(f31(f31(f37(x5651,x5652),x5653),x5654))
% 4.99/5.09 [566]~P27(f31(f31(x5661,x5663),x5665))+~P27(f31(f31(f37(x5661,x5662),x5665),x5664))+P27(f31(f31(f37(x5661,x5662),x5663),x5664))
% 4.99/5.09 [574]~P27(f31(f31(f37(x5741,x5742),x5743),x5745))+P27(f31(f31(f37(x5741,x5742),x5743),x5744))+~P27(f31(f31(f37(x5741,x5742),x5745),x5744))
% 4.99/5.09 [662]~P9(x6621,x6623,x6625)+P27(f31(f31(f41(x6621),f26(a13,x6622,x6623,a56,a56)),x6624))+~P27(f31(f31(f41(x6621),x6622),f26(f9(a53,a58,a58,a58),x6624,f27(x6625,a58),a58,a58)))
% 4.99/5.09 [538]~P11(x5381)+E(f31(f31(f8(x5381),x5382),x5383),x5384)+~E(f31(f31(f8(x5381),x5382),f31(f31(f8(x5381),x5385),x5383)),f31(f31(f8(x5381),x5385),x5384))
% 4.99/5.09 [585]~P27(f31(f31(f41(x5851),x5853),x5855))+~P27(f31(f31(f41(x5851),x5852),f31(f31(a53,x5855),x5854)))+P27(f31(f31(f41(x5851),f31(f31(a13,x5852),x5853)),x5854))
% 4.99/5.09 [666]E(x6661,x6662)+~P27(f31(f31(f41(x6663),f26(a13,f12(x6664),x6665,a56,a56)),x6661))+~P27(f31(f31(f41(x6663),f26(a13,f12(x6664),x6665,a56,a56)),x6662))
% 4.99/5.09 [573]E(x5731,x5732)+E(x5733,x5734)+~P6(x5735,f24(x5734,x5732,x5736),f24(x5733,x5731,x5736),x5736)
% 4.99/5.09 [586]E(x5861,x5862)+P6(x5863,x5861,x5862,x5864)+~P6(x5863,f24(x5865,x5861,x5864),f24(x5866,x5862,x5864),x5864)
% 4.99/5.09 [575]E(x5751,x5752)+~P6(x5753,f24(x5752,x5754,x5755),f24(x5751,x5756,x5755),x5755)+P27(f31(f31(x5753,x5752),x5751))
% 4.99/5.09 [587]P6(x5871,x5872,x5873,x5874)+~P6(x5871,f24(x5875,x5872,x5874),f24(x5876,x5873,x5874),x5874)+P27(f31(f31(x5871,x5875),x5876))
% 4.99/5.09 [594]E(x5941,x5942)+E(x5943,x5944)+~P6(x5945,f20(x5943,f24(x5941,f4(x5946),x5946),x5946),f20(x5944,f24(x5942,f4(x5946),x5946),x5946),x5946)
% 4.99/5.09 [595]E(x5951,x5952)+~P6(x5953,f20(x5954,f24(x5951,f4(x5955),x5955),x5955),f20(x5956,f24(x5952,f4(x5955),x5955),x5955),x5955)+P27(f31(f31(x5953,x5951),x5952))
% 4.99/5.09 [599]E(x5991,x5992)+P6(x5993,x5991,x5992,x5994)+~P6(x5993,f20(x5991,f24(x5995,f4(x5994),x5994),x5994),f20(x5992,f24(x5996,f4(x5994),x5994),x5994),x5994)
% 4.99/5.09 [600]P6(x6001,x6002,x6003,x6004)+~P6(x6001,f20(x6002,f24(x6005,f4(x6004),x6004),x6004),f20(x6003,f24(x6006,f4(x6004),x6004),x6004),x6004)+P27(f31(f31(x6001,x6005),x6006))
% 4.99/5.09 [643]~P27(f31(f31(f41(x6431),x6433),x6436))+~P27(f31(f31(f41(f43(x6431,x6434,x6436,a58)),x6432),x6435))+P27(f31(f31(f41(x6431),f31(f31(f31(a21,x6432),x6433),x6434)),x6435))
% 4.99/5.09 [651]~P9(f43(x6511,x6513,x6516,a58),x6514,x6515)+P9(x6511,f29(f31(f9(f31(f9(a21,a56,a56,f59(a2,a56)),x6512),a56,a2,a56),x6513),x6514,a56,a56),x6515)+~P27(f31(f31(f41(x6511),x6512),x6516))
% 4.99/5.09 [438]P4(x4381,x4382,x4383)+~P26(x4383)+E(x4381,x4382)+P4(x4382,x4381,x4383)
% 4.99/5.09 [442]P4(x4421,x4422,x4423)+~P21(x4423)+E(x4421,x4422)+P4(x4422,x4421,x4423)
% 4.99/5.09 [425]~P25(x4252)+~P7(x4252)+E(x4251,f7(x4252))+~E(f31(f31(f8(x4252),x4253),x4251),x4253)
% 4.99/5.09 [536]~P19(x5361)+~P4(f7(x5361),x5363,x5361)+~P4(f7(x5361),x5362,x5361)+P4(f7(x5361),f31(f31(f8(x5361),x5362),x5363),x5361)
% 4.99/5.09 [537]~P19(x5371)+~P4(x5373,f7(x5371),x5371)+~P4(x5372,f7(x5371),x5371)+P4(f31(f31(f8(x5371),x5372),x5373),f7(x5371),x5371)
% 4.99/5.09 [501]~P20(x5013)+~P4(x5011,x5014,x5013)+P4(x5011,x5012,x5013)+~P4(x5014,x5012,x5013)
% 4.99/5.09 [502]~P22(x5023)+~P4(x5021,x5024,x5023)+P4(x5021,x5022,x5023)+~P4(x5024,x5022,x5023)
% 4.99/5.09 [482]~P25(x4823)+~P7(x4823)+E(x4821,x4822)+~E(f31(f31(f8(x4823),x4824),x4821),f31(f31(f8(x4823),x4824),x4822))
% 4.99/5.09 [531]~P24(x5312)+~P4(x5311,x5314,x5312)+~P4(f7(x5312),x5313,x5312)+P4(x5311,f31(f31(f8(x5312),x5313),x5314),x5312)
% 4.99/5.09 [552]~P17(x5521)+~P4(x5523,x5525,x5521)+~P4(x5522,x5524,x5521)+P4(f31(f31(f8(x5521),x5522),x5523),f31(f31(f8(x5521),x5524),x5525),x5521)
% 4.99/5.09 [667]~P9(x6671,x6675,x6676)+P9(x6671,x6672,f51(x6673,x6674,x6671,x6672))+~P27(f31(f31(f41(x6671),f26(a13,f12(x6677),x6675,a56,a56)),x6674))+~P27(f31(f31(f41(x6671),f26(a13,f26(a13,f12(x6677),x6675,a56,a56),x6672,a56,a56)),x6673))
% 4.99/5.09 [668]~P9(x6683,x6685,x6686)+E(f26(f9(a53,a58,a58,a58),x6681,f27(f51(x6681,x6682,x6683,x6684),a58),a58,a58),x6682)+~P27(f31(f31(f41(x6683),f26(a13,f12(x6687),x6685,a56,a56)),x6682))+~P27(f31(f31(f41(x6683),f26(a13,f26(a13,f12(x6687),x6685,a56,a56),x6684,a56,a56)),x6681))
% 4.99/5.09 [641]~P27(f31(a6,x6412))+~P27(f31(a6,x6411))+~E(f31(f31(a53,x6414),x6415),a61)+~P27(f31(f31(f41(x6416),x6412),x6415))+~P27(f31(f31(f41(f43(x6416,x6413,x6415,a58)),x6411),x6417))+P27(f31(a6,f31(f31(f31(a21,x6411),x6412),x6413)))
% 4.99/5.09 [642]~P27(f31(a6,x6422))+~P27(f31(a6,x6421))+~E(f31(f31(a53,x6424),x6425),a61)+~P27(f31(f31(f41(x6426),x6422),x6424))+~P27(f31(f31(f41(f43(x6426,x6423,x6424,a58)),x6421),x6427))+P27(f31(a6,f31(f31(f31(a21,x6421),x6422),x6423)))
% 4.99/5.09 %EqnAxiom
% 4.99/5.09 [1]E(x11,x11)
% 4.99/5.09 [2]E(x22,x21)+~E(x21,x22)
% 4.99/5.09 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.99/5.09 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 4.99/5.09 [5]~E(x51,x52)+E(f27(x51,x53),f27(x52,x53))
% 4.99/5.09 [6]~E(x61,x62)+E(f27(x63,x61),f27(x63,x62))
% 4.99/5.09 [7]~E(x71,x72)+E(f31(x71,x73),f31(x72,x73))
% 4.99/5.09 [8]~E(x81,x82)+E(f31(x83,x81),f31(x83,x82))
% 4.99/5.09 [9]~E(x91,x92)+E(f18(x91,x93,x94,x95,x96),f18(x92,x93,x94,x95,x96))
% 4.99/5.09 [10]~E(x101,x102)+E(f18(x103,x101,x104,x105,x106),f18(x103,x102,x104,x105,x106))
% 4.99/5.09 [11]~E(x111,x112)+E(f18(x113,x114,x111,x115,x116),f18(x113,x114,x112,x115,x116))
% 4.99/5.09 [12]~E(x121,x122)+E(f18(x123,x124,x125,x121,x126),f18(x123,x124,x125,x122,x126))
% 4.99/5.09 [13]~E(x131,x132)+E(f18(x133,x134,x135,x136,x131),f18(x133,x134,x135,x136,x132))
% 4.99/5.09 [14]~E(x141,x142)+E(f12(x141),f12(x142))
% 4.99/5.09 [15]~E(x151,x152)+E(f26(x151,x153,x154,x155,x156),f26(x152,x153,x154,x155,x156))
% 4.99/5.09 [16]~E(x161,x162)+E(f26(x163,x161,x164,x165,x166),f26(x163,x162,x164,x165,x166))
% 4.99/5.09 [17]~E(x171,x172)+E(f26(x173,x174,x171,x175,x176),f26(x173,x174,x172,x175,x176))
% 4.99/5.09 [18]~E(x181,x182)+E(f26(x183,x184,x185,x181,x186),f26(x183,x184,x185,x182,x186))
% 4.99/5.09 [19]~E(x191,x192)+E(f26(x193,x194,x195,x196,x191),f26(x193,x194,x195,x196,x192))
% 4.99/5.09 [20]~E(x201,x202)+E(f8(x201),f8(x202))
% 4.99/5.09 [21]~E(x211,x212)+E(f5(x211,x213),f5(x212,x213))
% 4.99/5.09 [22]~E(x221,x222)+E(f5(x223,x221),f5(x223,x222))
% 4.99/5.09 [23]~E(x231,x232)+E(f38(x231),f38(x232))
% 4.99/5.09 [24]~E(x241,x242)+E(f41(x241),f41(x242))
% 4.99/5.09 [25]~E(x251,x252)+E(f30(x251,x253),f30(x252,x253))
% 4.99/5.09 [26]~E(x261,x262)+E(f30(x263,x261),f30(x263,x262))
% 4.99/5.09 [27]~E(x271,x272)+E(f7(x271),f7(x272))
% 4.99/5.09 [28]~E(x281,x282)+E(f15(x281),f15(x282))
% 4.99/5.09 [29]~E(x291,x292)+E(f32(x291,x293),f32(x292,x293))
% 4.99/5.09 [30]~E(x301,x302)+E(f32(x303,x301),f32(x303,x302))
% 4.99/5.09 [31]~E(x311,x312)+E(f20(x311,x313,x314),f20(x312,x313,x314))
% 4.99/5.09 [32]~E(x321,x322)+E(f20(x323,x321,x324),f20(x323,x322,x324))
% 4.99/5.09 [33]~E(x331,x332)+E(f20(x333,x334,x331),f20(x333,x334,x332))
% 4.99/5.09 [34]~E(x341,x342)+E(f55(x341),f55(x342))
% 4.99/5.09 [35]~E(x351,x352)+E(f24(x351,x353,x354),f24(x352,x353,x354))
% 4.99/5.09 [36]~E(x361,x362)+E(f24(x363,x361,x364),f24(x363,x362,x364))
% 4.99/5.09 [37]~E(x371,x372)+E(f24(x373,x374,x371),f24(x373,x374,x372))
% 4.99/5.09 [38]~E(x381,x382)+E(f29(x381,x383,x384,x385),f29(x382,x383,x384,x385))
% 4.99/5.09 [39]~E(x391,x392)+E(f29(x393,x391,x394,x395),f29(x393,x392,x394,x395))
% 4.99/5.09 [40]~E(x401,x402)+E(f29(x403,x404,x401,x405),f29(x403,x404,x402,x405))
% 4.99/5.09 [41]~E(x411,x412)+E(f29(x413,x414,x415,x411),f29(x413,x414,x415,x412))
% 4.99/5.09 [42]~E(x421,x422)+E(f36(x421,x423),f36(x422,x423))
% 4.99/5.09 [43]~E(x431,x432)+E(f36(x433,x431),f36(x433,x432))
% 4.99/5.09 [44]~E(x441,x442)+E(f35(x441,x443,x444,x445,x446),f35(x442,x443,x444,x445,x446))
% 4.99/5.09 [45]~E(x451,x452)+E(f35(x453,x451,x454,x455,x456),f35(x453,x452,x454,x455,x456))
% 4.99/5.09 [46]~E(x461,x462)+E(f35(x463,x464,x461,x465,x466),f35(x463,x464,x462,x465,x466))
% 4.99/5.09 [47]~E(x471,x472)+E(f35(x473,x474,x475,x471,x476),f35(x473,x474,x475,x472,x476))
% 4.99/5.09 [48]~E(x481,x482)+E(f35(x483,x484,x485,x486,x481),f35(x483,x484,x485,x486,x482))
% 4.99/5.09 [49]~E(x491,x492)+E(f37(x491,x493),f37(x492,x493))
% 4.99/5.09 [50]~E(x501,x502)+E(f37(x503,x501),f37(x503,x502))
% 4.99/5.09 [51]~E(x511,x512)+E(f33(x511,x513,x514),f33(x512,x513,x514))
% 4.99/5.09 [52]~E(x521,x522)+E(f33(x523,x521,x524),f33(x523,x522,x524))
% 4.99/5.09 [53]~E(x531,x532)+E(f33(x533,x534,x531),f33(x533,x534,x532))
% 4.99/5.09 [54]~E(x541,x542)+E(f39(x541,x543,x544),f39(x542,x543,x544))
% 4.99/5.09 [55]~E(x551,x552)+E(f39(x553,x551,x554),f39(x553,x552,x554))
% 4.99/5.09 [56]~E(x561,x562)+E(f39(x563,x564,x561),f39(x563,x564,x562))
% 4.99/5.09 [57]~E(x571,x572)+E(f34(x571,x573,x574,x575,x576),f34(x572,x573,x574,x575,x576))
% 4.99/5.09 [58]~E(x581,x582)+E(f34(x583,x581,x584,x585,x586),f34(x583,x582,x584,x585,x586))
% 4.99/5.09 [59]~E(x591,x592)+E(f34(x593,x594,x591,x595,x596),f34(x593,x594,x592,x595,x596))
% 4.99/5.09 [60]~E(x601,x602)+E(f34(x603,x604,x605,x601,x606),f34(x603,x604,x605,x602,x606))
% 4.99/5.09 [61]~E(x611,x612)+E(f34(x613,x614,x615,x616,x611),f34(x613,x614,x615,x616,x612))
% 4.99/5.09 [62]~E(x621,x622)+E(f52(x621,x623,x624,x625),f52(x622,x623,x624,x625))
% 4.99/5.09 [63]~E(x631,x632)+E(f52(x633,x631,x634,x635),f52(x633,x632,x634,x635))
% 4.99/5.09 [64]~E(x641,x642)+E(f52(x643,x644,x641,x645),f52(x643,x644,x642,x645))
% 4.99/5.09 [65]~E(x651,x652)+E(f52(x653,x654,x655,x651),f52(x653,x654,x655,x652))
% 4.99/5.09 [66]~E(x661,x662)+E(f28(x661,x663,x664),f28(x662,x663,x664))
% 4.99/5.09 [67]~E(x671,x672)+E(f28(x673,x671,x674),f28(x673,x672,x674))
% 4.99/5.09 [68]~E(x681,x682)+E(f28(x683,x684,x681),f28(x683,x684,x682))
% 4.99/5.09 [69]~E(x691,x692)+E(f51(x691,x693,x694,x695),f51(x692,x693,x694,x695))
% 4.99/5.09 [70]~E(x701,x702)+E(f51(x703,x701,x704,x705),f51(x703,x702,x704,x705))
% 4.99/5.09 [71]~E(x711,x712)+E(f51(x713,x714,x711,x715),f51(x713,x714,x712,x715))
% 4.99/5.09 [72]~E(x721,x722)+E(f51(x723,x724,x725,x721),f51(x723,x724,x725,x722))
% 4.99/5.09 [73]~E(x731,x732)+E(f9(x731,x733,x734,x735),f9(x732,x733,x734,x735))
% 4.99/5.09 [74]~E(x741,x742)+E(f9(x743,x741,x744,x745),f9(x743,x742,x744,x745))
% 4.99/5.09 [75]~E(x751,x752)+E(f9(x753,x754,x751,x755),f9(x753,x754,x752,x755))
% 4.99/5.09 [76]~E(x761,x762)+E(f9(x763,x764,x765,x761),f9(x763,x764,x765,x762))
% 4.99/5.09 [77]~E(x771,x772)+E(f43(x771,x773,x774,x775),f43(x772,x773,x774,x775))
% 4.99/5.09 [78]~E(x781,x782)+E(f43(x783,x781,x784,x785),f43(x783,x782,x784,x785))
% 4.99/5.09 [79]~E(x791,x792)+E(f43(x793,x794,x791,x795),f43(x793,x794,x792,x795))
% 4.99/5.09 [80]~E(x801,x802)+E(f43(x803,x804,x805,x801),f43(x803,x804,x805,x802))
% 4.99/5.09 [81]~E(x811,x812)+E(f42(x811),f42(x812))
% 4.99/5.09 [82]~E(x821,x822)+E(f25(x821,x823),f25(x822,x823))
% 4.99/5.09 [83]~E(x831,x832)+E(f25(x833,x831),f25(x833,x832))
% 4.99/5.09 [84]~E(x841,x842)+E(f16(x841,x843,x844),f16(x842,x843,x844))
% 4.99/5.09 [85]~E(x851,x852)+E(f16(x853,x851,x854),f16(x853,x852,x854))
% 4.99/5.09 [86]~E(x861,x862)+E(f16(x863,x864,x861),f16(x863,x864,x862))
% 4.99/5.09 [87]~E(x871,x872)+E(f23(x871,x873,x874),f23(x872,x873,x874))
% 4.99/5.09 [88]~E(x881,x882)+E(f23(x883,x881,x884),f23(x883,x882,x884))
% 4.99/5.09 [89]~E(x891,x892)+E(f23(x893,x894,x891),f23(x893,x894,x892))
% 4.99/5.09 [90]~E(x901,x902)+E(f50(x901,x903,x904,x905),f50(x902,x903,x904,x905))
% 4.99/5.09 [91]~E(x911,x912)+E(f50(x913,x911,x914,x915),f50(x913,x912,x914,x915))
% 4.99/5.09 [92]~E(x921,x922)+E(f50(x923,x924,x921,x925),f50(x923,x924,x922,x925))
% 4.99/5.09 [93]~E(x931,x932)+E(f50(x933,x934,x935,x931),f50(x933,x934,x935,x932))
% 4.99/5.09 [94]~E(x941,x942)+E(f49(x941,x943,x944),f49(x942,x943,x944))
% 4.99/5.09 [95]~E(x951,x952)+E(f49(x953,x951,x954),f49(x953,x952,x954))
% 4.99/5.09 [96]~E(x961,x962)+E(f49(x963,x964,x961),f49(x963,x964,x962))
% 4.99/5.09 [97]~E(x971,x972)+E(f59(x971,x973),f59(x972,x973))
% 4.99/5.09 [98]~E(x981,x982)+E(f59(x983,x981),f59(x983,x982))
% 4.99/5.09 [99]~E(x991,x992)+E(f40(x991),f40(x992))
% 4.99/5.09 [100]~E(x1001,x1002)+E(f54(x1001,x1003,x1004,x1005),f54(x1002,x1003,x1004,x1005))
% 4.99/5.09 [101]~E(x1011,x1012)+E(f54(x1013,x1011,x1014,x1015),f54(x1013,x1012,x1014,x1015))
% 4.99/5.09 [102]~E(x1021,x1022)+E(f54(x1023,x1024,x1021,x1025),f54(x1023,x1024,x1022,x1025))
% 4.99/5.09 [103]~E(x1031,x1032)+E(f54(x1033,x1034,x1035,x1031),f54(x1033,x1034,x1035,x1032))
% 4.99/5.09 [104]~E(x1041,x1042)+E(f44(x1041),f44(x1042))
% 4.99/5.09 [105]~E(x1051,x1052)+E(f45(x1051,x1053,x1054,x1055),f45(x1052,x1053,x1054,x1055))
% 4.99/5.09 [106]~E(x1061,x1062)+E(f45(x1063,x1061,x1064,x1065),f45(x1063,x1062,x1064,x1065))
% 4.99/5.09 [107]~E(x1071,x1072)+E(f45(x1073,x1074,x1071,x1075),f45(x1073,x1074,x1072,x1075))
% 4.99/5.09 [108]~E(x1081,x1082)+E(f45(x1083,x1084,x1085,x1081),f45(x1083,x1084,x1085,x1082))
% 4.99/5.09 [109]~E(x1091,x1092)+E(f19(x1091,x1093,x1094,x1095,x1096),f19(x1092,x1093,x1094,x1095,x1096))
% 4.99/5.09 [110]~E(x1101,x1102)+E(f19(x1103,x1101,x1104,x1105,x1106),f19(x1103,x1102,x1104,x1105,x1106))
% 4.99/5.09 [111]~E(x1111,x1112)+E(f19(x1113,x1114,x1111,x1115,x1116),f19(x1113,x1114,x1112,x1115,x1116))
% 4.99/5.09 [112]~E(x1121,x1122)+E(f19(x1123,x1124,x1125,x1121,x1126),f19(x1123,x1124,x1125,x1122,x1126))
% 4.99/5.09 [113]~E(x1131,x1132)+E(f19(x1133,x1134,x1135,x1136,x1131),f19(x1133,x1134,x1135,x1136,x1132))
% 4.99/5.09 [114]~E(x1141,x1142)+E(f10(x1141,x1143,x1144,x1145,x1146),f10(x1142,x1143,x1144,x1145,x1146))
% 4.99/5.09 [115]~E(x1151,x1152)+E(f10(x1153,x1151,x1154,x1155,x1156),f10(x1153,x1152,x1154,x1155,x1156))
% 4.99/5.09 [116]~E(x1161,x1162)+E(f10(x1163,x1164,x1161,x1165,x1166),f10(x1163,x1164,x1162,x1165,x1166))
% 4.99/5.09 [117]~E(x1171,x1172)+E(f10(x1173,x1174,x1175,x1171,x1176),f10(x1173,x1174,x1175,x1172,x1176))
% 4.99/5.09 [118]~E(x1181,x1182)+E(f10(x1183,x1184,x1185,x1186,x1181),f10(x1183,x1184,x1185,x1186,x1182))
% 4.99/5.09 [119]~E(x1191,x1192)+E(f11(x1191),f11(x1192))
% 4.99/5.09 [120]~E(x1201,x1202)+E(f46(x1201,x1203,x1204,x1205),f46(x1202,x1203,x1204,x1205))
% 4.99/5.09 [121]~E(x1211,x1212)+E(f46(x1213,x1211,x1214,x1215),f46(x1213,x1212,x1214,x1215))
% 4.99/5.09 [122]~E(x1221,x1222)+E(f46(x1223,x1224,x1221,x1225),f46(x1223,x1224,x1222,x1225))
% 4.99/5.09 [123]~E(x1231,x1232)+E(f46(x1233,x1234,x1235,x1231),f46(x1233,x1234,x1235,x1232))
% 4.99/5.09 [124]~E(x1241,x1242)+E(f48(x1241,x1243,x1244,x1245),f48(x1242,x1243,x1244,x1245))
% 4.99/5.09 [125]~E(x1251,x1252)+E(f48(x1253,x1251,x1254,x1255),f48(x1253,x1252,x1254,x1255))
% 4.99/5.09 [126]~E(x1261,x1262)+E(f48(x1263,x1264,x1261,x1265),f48(x1263,x1264,x1262,x1265))
% 4.99/5.09 [127]~E(x1271,x1272)+E(f48(x1273,x1274,x1275,x1271),f48(x1273,x1274,x1275,x1272))
% 4.99/5.09 [128]~E(x1281,x1282)+E(f47(x1281,x1283,x1284),f47(x1282,x1283,x1284))
% 4.99/5.09 [129]~E(x1291,x1292)+E(f47(x1293,x1291,x1294),f47(x1293,x1292,x1294))
% 4.99/5.09 [130]~E(x1301,x1302)+E(f47(x1303,x1304,x1301),f47(x1303,x1304,x1302))
% 4.99/5.09 [131]~E(x1311,x1312)+E(f22(x1311,x1313,x1314,x1315),f22(x1312,x1313,x1314,x1315))
% 4.99/5.09 [132]~E(x1321,x1322)+E(f22(x1323,x1321,x1324,x1325),f22(x1323,x1322,x1324,x1325))
% 4.99/5.09 [133]~E(x1331,x1332)+E(f22(x1333,x1334,x1331,x1335),f22(x1333,x1334,x1332,x1335))
% 4.99/5.09 [134]~E(x1341,x1342)+E(f22(x1343,x1344,x1345,x1341),f22(x1343,x1344,x1345,x1342))
% 4.99/5.09 [135]~P1(x1351)+P1(x1352)+~E(x1351,x1352)
% 4.99/5.09 [136]~P2(x1361)+P2(x1362)+~E(x1361,x1362)
% 4.99/5.09 [137]~P14(x1371)+P14(x1372)+~E(x1371,x1372)
% 4.99/5.09 [138]~P3(x1381)+P3(x1382)+~E(x1381,x1382)
% 4.99/5.09 [139]~P10(x1391)+P10(x1392)+~E(x1391,x1392)
% 4.99/5.09 [140]~P12(x1401)+P12(x1402)+~E(x1401,x1402)
% 4.99/5.09 [141]~P13(x1411)+P13(x1412)+~E(x1411,x1412)
% 4.99/5.09 [142]~P15(x1421)+P15(x1422)+~E(x1421,x1422)
% 4.99/5.09 [143]~P17(x1431)+P17(x1432)+~E(x1431,x1432)
% 4.99/5.09 [144]~P18(x1441)+P18(x1442)+~E(x1441,x1442)
% 4.99/5.09 [145]~P23(x1451)+P23(x1452)+~E(x1451,x1452)
% 4.99/5.09 [146]~P24(x1461)+P24(x1462)+~E(x1461,x1462)
% 4.99/5.09 [147]~P19(x1471)+P19(x1472)+~E(x1471,x1472)
% 4.99/5.09 [148]~P20(x1481)+P20(x1482)+~E(x1481,x1482)
% 4.99/5.09 [149]~P27(x1491)+P27(x1492)+~E(x1491,x1492)
% 4.99/5.09 [150]~P22(x1501)+P22(x1502)+~E(x1501,x1502)
% 4.99/5.09 [151]P4(x1512,x1513,x1514)+~E(x1511,x1512)+~P4(x1511,x1513,x1514)
% 4.99/5.09 [152]P4(x1523,x1522,x1524)+~E(x1521,x1522)+~P4(x1523,x1521,x1524)
% 4.99/5.09 [153]P4(x1533,x1534,x1532)+~E(x1531,x1532)+~P4(x1533,x1534,x1531)
% 4.99/5.09 [154]~P21(x1541)+P21(x1542)+~E(x1541,x1542)
% 4.99/5.09 [155]P8(x1552,x1553,x1554)+~E(x1551,x1552)+~P8(x1551,x1553,x1554)
% 4.99/5.09 [156]P8(x1563,x1562,x1564)+~E(x1561,x1562)+~P8(x1563,x1561,x1564)
% 4.99/5.09 [157]P8(x1573,x1574,x1572)+~E(x1571,x1572)+~P8(x1573,x1574,x1571)
% 4.99/5.09 [158]~P26(x1581)+P26(x1582)+~E(x1581,x1582)
% 4.99/5.09 [159]~P28(x1591)+P28(x1592)+~E(x1591,x1592)
% 4.99/5.09 [160]P5(x1602,x1603,x1604)+~E(x1601,x1602)+~P5(x1601,x1603,x1604)
% 4.99/5.09 [161]P5(x1613,x1612,x1614)+~E(x1611,x1612)+~P5(x1613,x1611,x1614)
% 4.99/5.09 [162]P5(x1623,x1624,x1622)+~E(x1621,x1622)+~P5(x1623,x1624,x1621)
% 4.99/5.09 [163]~P7(x1631)+P7(x1632)+~E(x1631,x1632)
% 4.99/5.09 [164]~P25(x1641)+P25(x1642)+~E(x1641,x1642)
% 4.99/5.09 [165]~P16(x1651)+P16(x1652)+~E(x1651,x1652)
% 4.99/5.09 [166]P6(x1662,x1663,x1664,x1665)+~E(x1661,x1662)+~P6(x1661,x1663,x1664,x1665)
% 4.99/5.09 [167]P6(x1673,x1672,x1674,x1675)+~E(x1671,x1672)+~P6(x1673,x1671,x1674,x1675)
% 4.99/5.09 [168]P6(x1683,x1684,x1682,x1685)+~E(x1681,x1682)+~P6(x1683,x1684,x1681,x1685)
% 4.99/5.09 [169]P6(x1693,x1694,x1695,x1692)+~E(x1691,x1692)+~P6(x1693,x1694,x1695,x1691)
% 4.99/5.09 [170]P9(x1702,x1703,x1704)+~E(x1701,x1702)+~P9(x1701,x1703,x1704)
% 4.99/5.09 [171]P9(x1713,x1712,x1714)+~E(x1711,x1712)+~P9(x1713,x1711,x1714)
% 4.99/5.09 [172]P9(x1723,x1724,x1722)+~E(x1721,x1722)+~P9(x1723,x1724,x1721)
% 4.99/5.09 [173]~P11(x1731)+P11(x1732)+~E(x1731,x1732)
% 4.99/5.09
% 4.99/5.09 %-------------------------------------------
% 4.99/5.10 cnf(670,plain,
% 4.99/5.10 (~P4(x6701,x6701,a3)),
% 4.99/5.10 inference(scs_inference,[],[174,191,2,407])).
% 4.99/5.10 cnf(673,plain,
% 4.99/5.10 (P4(x6731,f38(f31(f31(f8(a2),x6732),x6731)),a2)),
% 4.99/5.10 inference(rename_variables,[],[264])).
% 4.99/5.10 cnf(676,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x6761),x6762),x6762,a2)),
% 4.99/5.10 inference(rename_variables,[],[365])).
% 4.99/5.10 cnf(679,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x6791),x6792),x6792,a2)),
% 4.99/5.10 inference(rename_variables,[],[365])).
% 4.99/5.10 cnf(681,plain,
% 4.99/5.10 (P4(x6811,f38(f38(x6811)),a2)),
% 4.99/5.10 inference(scs_inference,[],[174,191,212,365,676,264,2,407,514,497,495,451])).
% 4.99/5.10 cnf(682,plain,
% 4.99/5.10 (P4(x6821,f38(x6821),a2)),
% 4.99/5.10 inference(rename_variables,[],[212])).
% 4.99/5.10 cnf(684,plain,
% 4.99/5.10 (~P4(f38(x6841),x6841,a2)),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,212,365,676,264,2,407,514,497,495,451,449])).
% 4.99/5.10 cnf(685,plain,
% 4.99/5.10 (~P4(x6851,x6851,a2)),
% 4.99/5.10 inference(rename_variables,[],[354])).
% 4.99/5.10 cnf(691,plain,
% 4.99/5.10 (~E(f38(x6911),x6911)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(693,plain,
% 4.99/5.10 (P8(f39(a14,a56,a56),a69,a56)),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,340,212,365,676,679,264,2,407,514,497,495,451,449,432,604,485])).
% 4.99/5.10 cnf(695,plain,
% 4.99/5.10 (~E(f28(f38(f7(a2)),x6951,x6952),f4(x6952))),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,340,691,212,365,676,679,264,2,407,514,497,495,451,449,432,604,485,410])).
% 4.99/5.10 cnf(696,plain,
% 4.99/5.10 (~E(f38(x6961),x6961)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(699,plain,
% 4.99/5.10 (~E(f38(x6991),x6991)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(702,plain,
% 4.99/5.10 (~E(f38(x7021),x7021)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(706,plain,
% 4.99/5.10 (P4(x7061,f31(f31(f8(a2),f38(x7061)),x7062),a2)),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,340,691,696,699,212,365,676,679,264,266,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462])).
% 4.99/5.10 cnf(707,plain,
% 4.99/5.10 (P4(x7071,f38(f31(f31(f8(a2),x7071),x7072)),a2)),
% 4.99/5.10 inference(rename_variables,[],[266])).
% 4.99/5.10 cnf(710,plain,
% 4.99/5.10 (~E(f38(x7101),x7101)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(712,plain,
% 4.99/5.10 (~E(f20(f38(f4(x7121)),x7122,x7121),x7122)),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,340,691,696,699,702,710,212,365,676,679,264,266,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405])).
% 4.99/5.10 cnf(713,plain,
% 4.99/5.10 (~E(f38(x7131),x7131)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(715,plain,
% 4.99/5.10 (~E(f20(x7151,f38(f4(x7152)),x7152),x7151)),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,340,691,696,699,702,710,713,212,365,676,679,264,266,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404])).
% 4.99/5.10 cnf(716,plain,
% 4.99/5.10 (~E(f38(x7161),x7161)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(718,plain,
% 4.99/5.10 (~E(f20(f38(f4(x7181)),x7182,x7181),f4(x7181))),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,340,691,696,699,702,710,713,716,212,365,676,679,264,266,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418])).
% 4.99/5.10 cnf(719,plain,
% 4.99/5.10 (~E(f38(x7191),x7191)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(722,plain,
% 4.99/5.10 (~E(f38(x7221),x7221)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(725,plain,
% 4.99/5.10 (~E(f38(x7251),x7251)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(728,plain,
% 4.99/5.10 (~E(f38(x7281),x7281)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(730,plain,
% 4.99/5.10 (P6(f41(a65),f24(a69,x7301,x7302),f24(a61,x7301,x7302),x7302)),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,235,340,691,696,699,702,710,713,716,719,722,725,212,365,676,679,264,266,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563])).
% 4.99/5.10 cnf(733,plain,
% 4.99/5.10 (P27(f31(f31(f40(x7331),x7332),x7332))),
% 4.99/5.10 inference(rename_variables,[],[238])).
% 4.99/5.10 cnf(736,plain,
% 4.99/5.10 (P27(f31(f31(f40(x7361),x7362),x7362))),
% 4.99/5.10 inference(rename_variables,[],[238])).
% 4.99/5.10 cnf(739,plain,
% 4.99/5.10 (P27(f31(f31(f40(x7391),x7392),x7392))),
% 4.99/5.10 inference(rename_variables,[],[238])).
% 4.99/5.10 cnf(743,plain,
% 4.99/5.10 (P9(f43(a66,a68,a61,a58),a70,f46(a63,f43(a66,a68,a61,a58),f12(a67),a70))),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,235,335,340,691,696,699,702,710,713,716,719,722,725,212,365,676,679,238,733,736,264,266,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658])).
% 4.99/5.10 cnf(748,plain,
% 4.99/5.10 (P27(f31(f31(f40(x7481),x7482),x7482))),
% 4.99/5.10 inference(rename_variables,[],[238])).
% 4.99/5.10 cnf(750,plain,
% 4.99/5.10 (P27(f31(f31(f41(x7501),f15(f12(x7502))),f31(f31(a53,x7503),f31(f43(x7501,f7(a2),x7503,a58),x7502))))),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,235,335,340,691,696,699,702,710,713,716,719,722,725,212,365,676,679,238,733,736,739,264,266,254,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640])).
% 4.99/5.10 cnf(757,plain,
% 4.99/5.10 (~E(f38(x7571),x7571)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(762,plain,
% 4.99/5.10 (E(f31(f31(a53,f47(f31(f31(a53,x7621),f31(f43(x7622,f7(a2),x7621,a58),x7623)),x7622,f12(x7623))),f49(f31(f31(a53,x7621),f31(f43(x7622,f7(a2),x7621,a58),x7623)),x7622,f12(x7623))),f31(f31(a53,x7621),f31(f43(x7622,f7(a2),x7621,a58),x7623)))),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,235,335,340,691,696,699,702,710,713,716,719,722,725,728,212,365,676,679,238,733,736,739,748,264,266,254,296,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562])).
% 4.99/5.10 cnf(764,plain,
% 4.99/5.10 (P27(f31(f31(f41(f43(x7641,f7(a2),f47(f31(f31(a53,x7642),f31(f43(x7641,f7(a2),x7642,a58),x7643)),x7641,f12(x7643)),a58)),f12(x7643)),f49(f31(f31(a53,x7642),f31(f43(x7641,f7(a2),x7642,a58),x7643)),x7641,f12(x7643))))),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,235,335,340,691,696,699,702,710,713,716,719,722,725,728,212,365,676,679,238,733,736,739,748,264,266,254,296,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638])).
% 4.99/5.10 cnf(767,plain,
% 4.99/5.10 (~E(f38(x7671),x7671)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(770,plain,
% 4.99/5.10 (~E(f24(a61,x7701,a1),f4(a67))),
% 4.99/5.10 inference(scs_inference,[],[354,174,191,197,235,335,367,340,691,696,699,702,710,713,716,719,722,725,728,757,212,365,676,679,238,733,736,739,748,264,266,254,296,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168])).
% 4.99/5.10 cnf(774,plain,
% 4.99/5.10 (E(f27(f27(x7741,x7742),x7742),x7741)),
% 4.99/5.10 inference(rename_variables,[],[203])).
% 4.99/5.10 cnf(775,plain,
% 4.99/5.10 (~E(f38(f31(f31(f8(a2),x7751),x7752)),x7752)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,174,191,197,235,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,212,203,365,676,679,238,733,736,739,748,264,673,266,254,296,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152])).
% 4.99/5.10 cnf(776,plain,
% 4.99/5.10 (P4(x7761,f38(f31(f31(f8(a2),x7762),x7761)),a2)),
% 4.99/5.10 inference(rename_variables,[],[264])).
% 4.99/5.10 cnf(777,plain,
% 4.99/5.10 (~E(x7771,f38(x7771))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,174,191,197,235,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,212,682,203,365,676,679,238,733,736,739,748,264,673,266,254,296,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151])).
% 4.99/5.10 cnf(778,plain,
% 4.99/5.10 (~P4(x7781,x7781,a2)),
% 4.99/5.10 inference(rename_variables,[],[354])).
% 4.99/5.10 cnf(780,plain,
% 4.99/5.10 (E(f27(f27(x7801,x7802),x7802),x7801)),
% 4.99/5.10 inference(rename_variables,[],[203])).
% 4.99/5.10 cnf(782,plain,
% 4.99/5.10 (~E(f38(x7821),x7821)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(784,plain,
% 4.99/5.10 (~P4(x7841,x7841,a2)),
% 4.99/5.10 inference(rename_variables,[],[354])).
% 4.99/5.10 cnf(787,plain,
% 4.99/5.10 (P4(x7871,f38(x7871),a2)),
% 4.99/5.10 inference(rename_variables,[],[212])).
% 4.99/5.10 cnf(790,plain,
% 4.99/5.10 (~E(f38(x7901),x7901)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(798,plain,
% 4.99/5.10 (~E(f38(x7981),x7981)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(799,plain,
% 4.99/5.10 (~E(f24(x7991,x7992,x7993),x7992)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(801,plain,
% 4.99/5.10 (~P6(a14,f20(x8011,f24(f12(x8012),f4(x8013),x8013),x8013),f20(x8014,f24(f15(x8015),f4(x8013),x8013),x8013),x8013)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,191,358,197,235,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,356,212,682,346,203,774,365,676,679,238,733,736,739,748,363,264,673,266,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595])).
% 4.99/5.10 cnf(802,plain,
% 4.99/5.10 (~P27(f31(f31(a14,f12(x8021)),x8022))),
% 4.99/5.10 inference(rename_variables,[],[363])).
% 4.99/5.10 cnf(805,plain,
% 4.99/5.10 (~P27(f31(f31(a14,f12(x8051)),x8052))),
% 4.99/5.10 inference(rename_variables,[],[363])).
% 4.99/5.10 cnf(806,plain,
% 4.99/5.10 (~E(f38(x8061),x8061)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(810,plain,
% 4.99/5.10 (P9(a66,f29(f31(f9(f31(f9(a21,a56,a56,f59(a2,a56)),a71),a56,a2,a56),a68),a70,a56,a56),f50(a63,f43(a66,a68,a61,a58),a67,a70))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,356,212,682,346,203,774,365,676,679,238,733,736,739,748,363,802,805,264,673,266,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651])).
% 4.99/5.10 cnf(818,plain,
% 4.99/5.10 (~E(f38(x8181),x8181)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(821,plain,
% 4.99/5.10 (~E(f24(x8211,x8212,x8213),x8212)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(823,plain,
% 4.99/5.10 (P4(x8231,f38(f31(f31(f8(a2),x8232),f38(x8231))),a2)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,356,799,212,682,787,346,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502])).
% 4.99/5.10 cnf(824,plain,
% 4.99/5.10 (P4(x8241,f38(f31(f31(f8(a2),x8242),x8241)),a2)),
% 4.99/5.10 inference(rename_variables,[],[264])).
% 4.99/5.10 cnf(826,plain,
% 4.99/5.10 (P4(x8261,f38(f31(f31(f8(a2),f38(x8261)),x8262)),a2)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,356,799,212,682,787,346,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501])).
% 4.99/5.10 cnf(827,plain,
% 4.99/5.10 (P4(x8271,f38(f31(f31(f8(a2),x8271),x8272)),a2)),
% 4.99/5.10 inference(rename_variables,[],[266])).
% 4.99/5.10 cnf(829,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),f38(f7(a2))),f31(f31(f8(a2),f31(f31(f8(a2),f38(f7(a2))),x8291)),x8292)),x8291,a2)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,356,799,212,682,787,346,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531])).
% 4.99/5.10 cnf(832,plain,
% 4.99/5.10 (~E(f24(x8321,x8322,x8323),x8322)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(835,plain,
% 4.99/5.10 (~E(f24(x8351,x8352,x8353),x8352)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(837,plain,
% 4.99/5.10 (P5(f10(f11(a58),f41(f43(a66,a68,a61,a58)),f59(a58,a3),a3,a56),a70,a56)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,356,799,821,832,212,682,787,346,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611])).
% 4.99/5.10 cnf(839,plain,
% 4.99/5.10 (~P4(f38(x8391),f38(f7(a2)),a2)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474])).
% 4.99/5.10 cnf(846,plain,
% 4.99/5.10 (~E(f38(x8461),x8461)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(848,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),f38(f7(a2))),x8481),f7(a2))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397])).
% 4.99/5.10 cnf(849,plain,
% 4.99/5.10 (~E(f38(x8491),x8491)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(852,plain,
% 4.99/5.10 (~E(f38(x8521),x8521)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(854,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),x8541),f38(f7(a2))),x8541)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395])).
% 4.99/5.10 cnf(855,plain,
% 4.99/5.10 (~E(f38(x8551),x8551)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(913,plain,
% 4.99/5.10 (E(f43(x9131,a1,x9132,x9133),f43(x9131,a67,x9132,x9133))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78])).
% 4.99/5.10 cnf(987,plain,
% 4.99/5.10 (E(f4(a1),f4(a67))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 4.99/5.10 cnf(998,plain,
% 4.99/5.10 (P9(f43(f43(a66,a68,a61,a58),x9981,x9982,a58),f29(f31(f9(a17,a56,a2,a56),x9981),a70,a56,a56),f50(a63,f43(a66,a68,a61,a58),a67,a70))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624])).
% 4.99/5.10 cnf(1002,plain,
% 4.99/5.10 (~E(f20(x10021,f24(f38(x10022),f4(x10023),x10023),x10023),f20(x10024,f24(x10022,f4(x10023),x10023),x10023))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560])).
% 4.99/5.10 cnf(1008,plain,
% 4.99/5.10 (P4(f31(f31(f8(a2),f7(a2)),x10081),f31(f31(f8(a2),f38(f7(a2))),x10081),a2)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524])).
% 4.99/5.10 cnf(1016,plain,
% 4.99/5.10 (~E(f24(f38(x10161),x10162,x10163),f24(x10161,x10164,x10163))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469])).
% 4.99/5.10 cnf(1024,plain,
% 4.99/5.10 (~P27(f31(f31(f40(x10241),f38(x10242)),x10242))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465])).
% 4.99/5.10 cnf(1028,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),f38(x10281)),x10282),f31(f31(f8(a2),x10281),x10282))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,356,799,821,832,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454])).
% 4.99/5.10 cnf(1052,plain,
% 4.99/5.10 (~E(f38(f24(x10521,x10522,x10523)),f38(x10522))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,174,185,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,356,799,821,832,835,212,682,787,346,223,203,774,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372])).
% 4.99/5.10 cnf(1059,plain,
% 4.99/5.10 (~E(f38(x10591),x10591)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1071,plain,
% 4.99/5.10 (~P27(f31(f31(f40(x10711),f38(f15(x10712))),f44(f31(f40(x10711),f38(f15(x10712))))))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,185,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,356,799,821,832,835,212,682,787,346,223,203,774,347,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419])).
% 4.99/5.10 cnf(1074,plain,
% 4.99/5.10 (~E(f38(x10741),x10741)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1077,plain,
% 4.99/5.10 (~E(f38(x10771),x10771)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1081,plain,
% 4.99/5.10 (P27(f31(f31(f37(a14,a56),f31(f31(f31(a21,x10811),f31(f31(a13,f15(x10812)),x10813)),x10814)),f31(f31(f31(a21,x10811),f31(f31(f31(a21,x10812),x10813),f7(a2))),x10814)))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,185,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,356,799,821,832,835,212,682,787,346,223,203,774,347,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590])).
% 4.99/5.10 cnf(1099,plain,
% 4.99/5.10 (P27(f31(f31(a14,f15(f31(f31(a13,f15(x10991)),x10992))),f15(f31(f31(f31(a21,x10991),x10992),f7(a2)))))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,185,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,356,799,821,832,835,212,682,787,346,223,203,774,347,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500])).
% 4.99/5.10 cnf(1107,plain,
% 4.99/5.10 (~P27(f31(f31(f39(a14,x11071,x11072),x11073),f12(x11074)))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,185,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,356,799,821,832,835,212,682,787,346,223,203,774,347,350,365,676,679,238,733,736,739,748,256,363,802,805,264,673,776,266,707,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584])).
% 4.99/5.10 cnf(1116,plain,
% 4.99/5.10 (~E(f38(x11161),x11161)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1119,plain,
% 4.99/5.10 (~E(f38(x11191),x11191)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1122,plain,
% 4.99/5.10 (~E(f26(a13,f12(x11221),x11222,a56,a56),f26(a13,f15(x11223),x11224,a56,a56))),
% 4.99/5.10 inference(rename_variables,[],[370])).
% 4.99/5.10 cnf(1125,plain,
% 4.99/5.10 (~E(f38(x11251),x11251)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1128,plain,
% 4.99/5.10 (~E(f38(x11281),x11281)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1135,plain,
% 4.99/5.10 (~E(f38(x11351),x11351)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1143,plain,
% 4.99/5.10 (P27(f31(f31(f41(f43(a66,a68,a61,a58)),f12(a67)),f26(f9(a53,a58,a58,a58),a63,f27(f50(a63,f43(a66,a68,a61,a58),a67,a70),a58),a58,a58)))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,179,182,185,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,356,799,821,832,835,212,682,787,346,223,203,774,347,350,365,676,679,238,733,736,739,748,256,363,802,805,370,264,673,776,266,707,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665])).
% 4.99/5.10 cnf(1147,plain,
% 4.99/5.10 (P27(f31(f31(f41(f43(a66,a68,a61,a58)),f12(a67)),f26(f9(a53,a58,a58,a58),a63,f27(f45(a63,f43(a66,a68,a61,a58),f12(a67),a70),a58),a58,a58)))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,179,182,185,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,356,799,821,832,835,212,682,787,346,223,203,774,347,350,365,676,679,238,733,736,739,748,256,363,802,805,370,264,673,776,266,707,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663])).
% 4.99/5.10 cnf(1151,plain,
% 4.99/5.10 (~P6(f27(f27(a14,x11511),x11511),f20(x11512,f24(f12(x11513),f4(x11514),x11514),x11514),f20(x11515,f24(f15(x11516),f4(x11514),x11514),x11514),x11514)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,179,182,185,186,188,190,191,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,356,799,821,832,835,212,682,787,346,223,203,774,780,347,350,365,676,679,238,733,736,739,748,256,363,802,805,370,264,673,776,266,707,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166])).
% 4.99/5.10 cnf(1152,plain,
% 4.99/5.10 (~E(a2,x11521)+P21(x11521)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,179,182,185,186,188,190,191,192,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,356,799,821,832,835,212,682,787,346,223,203,774,780,347,350,365,676,679,238,733,736,739,748,256,363,802,805,370,264,673,776,266,707,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166,154])).
% 4.99/5.10 cnf(1154,plain,
% 4.99/5.10 (~P4(f38(f31(f31(f8(a2),x11541),x11542)),x11542,a2)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,179,182,185,186,188,190,191,192,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,356,799,821,832,835,212,682,787,346,223,203,774,780,217,347,350,365,676,679,238,733,736,739,748,256,363,802,805,370,264,673,776,824,266,707,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166,154,153,481])).
% 4.99/5.10 cnf(1167,plain,
% 4.99/5.10 (~E(f24(x11671,x11672,x11673),x11672)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1169,plain,
% 4.99/5.10 (~P4(f7(a2),f31(f31(f8(a2),f7(a2)),f7(a2)),a2)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,179,182,185,186,188,190,191,192,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,356,799,821,832,835,212,682,787,346,223,203,774,780,217,347,350,365,676,679,238,733,736,739,748,256,363,802,805,364,370,264,673,776,824,266,707,827,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166,154,153,481,480,478,428,498,459,401,530])).
% 4.99/5.10 cnf(1172,plain,
% 4.99/5.10 (~E(f38(x11721),x11721)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1173,plain,
% 4.99/5.10 (~E(f38(x11731),f7(a2))),
% 4.99/5.10 inference(rename_variables,[],[344])).
% 4.99/5.10 cnf(1176,plain,
% 4.99/5.10 (~E(f38(x11761),x11761)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1180,plain,
% 4.99/5.10 (~E(f24(x11801,x11802,x11803),x11802)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1182,plain,
% 4.99/5.10 (~P6(x11821,f20(f38(x11822),f24(f38(x11822),f4(x11823),x11823),x11823),f20(x11822,f24(x11822,f4(x11823),x11823),x11823),x11823)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,179,182,185,186,188,190,191,192,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,1135,1172,1176,356,799,821,832,835,1167,212,682,787,346,344,1173,223,203,774,780,217,347,350,365,676,679,238,733,736,739,748,256,363,802,805,364,370,264,673,776,824,266,707,827,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166,154,153,481,480,478,428,498,459,401,530,414,413,422,594])).
% 4.99/5.10 cnf(1186,plain,
% 4.99/5.10 (P4(f31(f31(f8(a2),f7(a2)),f7(a2)),f31(f31(f8(a2),f38(f7(a2))),f38(f7(a2))),a2)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,179,182,185,186,188,190,191,192,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,1135,1172,1176,356,799,821,832,835,1167,212,682,787,346,344,1173,223,203,774,780,217,347,350,365,676,679,238,733,736,739,748,256,363,802,805,364,370,264,673,776,824,266,707,827,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166,154,153,481,480,478,428,498,459,401,530,414,413,422,594,573,543])).
% 4.99/5.10 cnf(1195,plain,
% 4.99/5.10 (~E(f24(x11951,x11952,x11953),x11952)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1199,plain,
% 4.99/5.10 (~P27(f31(f31(f41(f43(a66,a68,a61,a58)),f26(a13,f12(a67),a70,a56,a56)),f38(a63)))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,178,179,182,184,185,186,188,190,191,192,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,1135,1172,1176,356,799,821,832,835,1167,1180,212,682,787,346,344,1173,223,203,774,780,217,347,350,365,676,679,238,733,736,739,748,256,363,802,805,364,370,264,673,776,824,266,707,827,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166,154,153,481,480,478,428,498,459,401,530,414,413,422,594,573,543,529,486,384,586,535,666])).
% 4.99/5.10 cnf(1208,plain,
% 4.99/5.10 (~E(f24(x12081,x12082,x12083),x12082)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1212,plain,
% 4.99/5.10 (~E(f24(x12121,x12122,x12123),x12122)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1214,plain,
% 4.99/5.10 (P27(f31(f31(f41(a65),f31(f31(a13,f15(f12(x12141))),a69)),f31(f43(a65,f7(a2),a61,a58),x12141)))),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,178,179,182,184,185,186,188,190,191,192,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,1135,1172,1176,356,799,821,832,835,1167,1180,1195,1208,212,682,787,346,344,1173,223,203,774,780,217,347,350,365,676,679,238,733,736,739,748,256,363,802,805,364,370,1122,264,673,776,824,266,707,827,254,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166,154,153,481,480,478,428,498,459,401,530,414,413,422,594,573,543,529,486,384,586,535,666,444,443,662,599,626,585])).
% 4.99/5.10 cnf(1219,plain,
% 4.99/5.10 (~E(f24(x12191,x12192,x12193),x12192)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1229,plain,
% 4.99/5.10 (~E(a2,x12291)+~P4(x12292,x12292,x12291)),
% 4.99/5.10 inference(scs_inference,[],[338,354,685,778,784,174,175,177,178,179,182,184,185,186,187,188,190,191,192,358,197,235,236,335,367,368,213,340,691,696,699,702,710,713,716,719,722,725,728,757,767,782,790,798,806,818,846,849,852,855,1059,1074,1077,1116,1119,1125,1128,1135,1172,1176,356,799,821,832,835,1167,1180,1195,1208,1212,1219,212,682,787,346,344,1173,223,203,774,780,217,347,350,365,676,679,238,733,736,739,748,256,363,802,805,364,370,1122,264,673,776,824,266,707,827,254,295,296,303,272,2,407,514,497,495,451,449,432,604,485,410,603,602,525,462,542,405,404,418,417,379,378,563,648,646,597,659,658,657,650,640,610,477,476,562,638,517,169,168,167,162,159,152,151,149,3,488,483,475,516,499,424,595,575,587,651,600,565,617,621,502,501,531,385,426,611,474,381,380,445,397,396,395,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,633,632,631,630,628,624,561,560,555,549,524,505,492,470,469,468,467,466,465,461,454,453,437,436,435,434,399,383,376,375,374,373,372,607,606,605,564,491,487,455,446,419,382,420,653,590,582,581,580,569,568,567,558,506,500,608,493,634,584,572,571,520,448,447,660,490,489,629,627,507,515,622,591,665,664,663,635,166,154,153,481,480,478,428,498,459,401,530,414,413,422,594,573,543,529,486,384,586,535,666,444,443,662,599,626,585,643,616,615,614,536,408])).
% 4.99/5.10 cnf(1298,plain,
% 4.99/5.10 (~P9(f43(a65,a1,a61,a58),a64,x12981)+~P27(f31(f31(f41(f43(a65,a1,a61,a58)),f31(f31(a13,f12(a67)),a60)),f26(f9(a53,a58,a58,a58),a62,f27(x12981,a58),a58,a58)))),
% 4.99/5.10 inference(scs_inference,[],[338,661])).
% 4.99/5.10 cnf(1300,plain,
% 4.99/5.10 (P5(x13001,f4(x13002),x13002)),
% 4.99/5.10 inference(rename_variables,[],[213])).
% 4.99/5.10 cnf(1303,plain,
% 4.99/5.10 (P5(x13031,f4(x13032),x13032)),
% 4.99/5.10 inference(rename_variables,[],[213])).
% 4.99/5.10 cnf(1306,plain,
% 4.99/5.10 (~P6(x13061,f4(x13062),x13063,x13062)),
% 4.99/5.10 inference(rename_variables,[],[368])).
% 4.99/5.10 cnf(1311,plain,
% 4.99/5.10 (P27(f31(f31(f37(x13111,x13112),x13113),x13113))),
% 4.99/5.10 inference(rename_variables,[],[256])).
% 4.99/5.10 cnf(1314,plain,
% 4.99/5.10 (~E(f24(x13141,x13142,x13143),x13142)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1315,plain,
% 4.99/5.10 (E(f20(x13151,f4(x13152),x13152),x13151)),
% 4.99/5.10 inference(rename_variables,[],[217])).
% 4.99/5.10 cnf(1317,plain,
% 4.99/5.10 (~E(f20(x13171,f24(f38(x13172),f4(x13173),x13173),x13173),f24(x13172,f20(x13174,f24(x13172,f4(x13173),x13173),x13173),x13173))),
% 4.99/5.10 inference(scs_inference,[],[334,368,356,217,256,213,1300,1002,1016,1214,637,613,656,636,566,620,619])).
% 4.99/5.10 cnf(1319,plain,
% 4.99/5.10 (~E(f20(x13191,f24(f38(x13192),f4(x13193),x13193),x13193),f20(x13194,f24(x13192,f4(x13193),x13193),x13193))),
% 4.99/5.10 inference(rename_variables,[],[1002])).
% 4.99/5.10 cnf(1322,plain,
% 4.99/5.10 (~E(f38(x13221),x13221)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1323,plain,
% 4.99/5.10 (~E(f24(x13231,x13232,x13233),f4(x13233))),
% 4.99/5.10 inference(rename_variables,[],[361])).
% 4.99/5.10 cnf(1325,plain,
% 4.99/5.10 (E(f7(a2),f31(f31(f8(a2),f7(a2)),f7(a2)))),
% 4.99/5.10 inference(scs_inference,[],[334,366,368,340,356,361,217,256,192,213,1300,1002,1016,1214,1169,637,613,656,636,566,620,619,618,442])).
% 4.99/5.10 cnf(1326,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x13261),x13262),x13261,a2)),
% 4.99/5.10 inference(rename_variables,[],[366])).
% 4.99/5.10 cnf(1328,plain,
% 4.99/5.10 (P4(f31(f31(f8(a2),x13281),x13281),f31(f31(f8(a2),f38(x13281)),f38(x13281)),a2)),
% 4.99/5.10 inference(scs_inference,[],[334,366,368,340,356,212,361,217,256,192,183,213,1300,1002,1016,1214,1169,637,613,656,636,566,620,619,618,442,552])).
% 4.99/5.10 cnf(1340,plain,
% 4.99/5.10 (~P27(f31(f31(f40(x13401),f38(f31(x13402,x13403))),f18(x13404,x13405,x13402,f15(x13403),a57)))),
% 4.99/5.10 inference(scs_inference,[],[334,366,368,340,356,212,361,217,256,364,192,183,213,1300,1002,1016,1024,1151,762,1214,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646])).
% 4.99/5.10 cnf(1341,plain,
% 4.99/5.10 (~P27(f31(f31(f40(x13411),f38(x13412)),x13412))),
% 4.99/5.10 inference(rename_variables,[],[1024])).
% 4.99/5.10 cnf(1344,plain,
% 4.99/5.10 (~P27(f31(f31(f40(x13441),f38(x13442)),x13442))),
% 4.99/5.10 inference(rename_variables,[],[1024])).
% 4.99/5.10 cnf(1347,plain,
% 4.99/5.10 (~P27(f31(f31(f40(x13471),f38(x13472)),x13472))),
% 4.99/5.10 inference(rename_variables,[],[1024])).
% 4.99/5.10 cnf(1349,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),f38(f7(a2))),f38(f7(a2))),f31(f31(f8(a2),f7(a2)),f7(a2)),a2)),
% 4.99/5.10 inference(scs_inference,[],[334,366,368,340,356,212,361,217,256,364,192,183,213,1300,1002,1016,1024,1341,1344,1151,762,1214,1186,684,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498])).
% 4.99/5.10 cnf(1350,plain,
% 4.99/5.10 (~P4(f38(x13501),x13501,a2)),
% 4.99/5.10 inference(rename_variables,[],[684])).
% 4.99/5.10 cnf(1353,plain,
% 4.99/5.10 (~E(f20(f38(f4(x13531)),x13532,x13531),x13532)),
% 4.99/5.10 inference(rename_variables,[],[712])).
% 4.99/5.10 cnf(1364,plain,
% 4.99/5.10 (~E(f38(x13641),x13641)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1368,plain,
% 4.99/5.10 (~E(f20(x13681,f24(f38(x13682),f4(x13683),x13683),x13683),f20(x13684,f24(x13682,f4(x13683),x13683),x13683))),
% 4.99/5.10 inference(rename_variables,[],[1002])).
% 4.99/5.10 cnf(1374,plain,
% 4.99/5.10 (P27(f31(f31(f41(f43(a65,a1,a61,a58)),f31(f31(f31(a21,f12(x13741)),f26(a13,f12(a67),a70,a56,a56)),x13742)),f31(f43(f43(a65,a1,a61,a58),x13742,a62,a58),x13741)))),
% 4.99/5.10 inference(scs_inference,[],[334,348,366,367,368,340,1322,356,212,361,217,256,370,254,364,192,183,213,1300,1002,1319,712,718,1071,1016,1024,1341,1344,1151,750,762,1214,1186,684,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643])).
% 4.99/5.10 cnf(1375,plain,
% 4.99/5.10 (P27(f31(f31(f41(x13751),f12(x13752)),f31(x13751,x13752)))),
% 4.99/5.10 inference(rename_variables,[],[254])).
% 4.99/5.10 cnf(1378,plain,
% 4.99/5.10 (~E(f38(x13781),x13781)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1382,plain,
% 4.99/5.10 (E(f20(x13821,f4(x13822),x13822),x13821)),
% 4.99/5.10 inference(rename_variables,[],[217])).
% 4.99/5.10 cnf(1383,plain,
% 4.99/5.10 (~E(f24(x13831,x13832,x13833),x13832)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1388,plain,
% 4.99/5.10 (~P4(f38(f38(x13881)),x13881,a2)),
% 4.99/5.10 inference(scs_inference,[],[334,348,366,367,368,340,1322,1364,356,1314,212,361,217,1315,256,370,254,295,364,192,183,213,1300,1002,1319,1368,712,718,1071,1016,1024,1341,1344,1151,750,695,762,1214,1186,681,684,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481])).
% 4.99/5.10 cnf(1393,plain,
% 4.99/5.10 (~E(f20(f38(f4(x13931)),x13932,x13931),x13932)),
% 4.99/5.10 inference(rename_variables,[],[712])).
% 4.99/5.10 cnf(1394,plain,
% 4.99/5.10 (~P4(x13941,f7(a2),a2)),
% 4.99/5.10 inference(rename_variables,[],[358])).
% 4.99/5.10 cnf(1397,plain,
% 4.99/5.10 (~E(f38(x13971),x13971)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1400,plain,
% 4.99/5.10 (~E(f38(x14001),x14001)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1406,plain,
% 4.99/5.10 (~E(f20(f38(f4(x14061)),x14062,x14061),x14062)),
% 4.99/5.10 inference(rename_variables,[],[712])).
% 4.99/5.10 cnf(1410,plain,
% 4.99/5.10 (P4(x14101,f38(f31(f31(f8(a2),x14102),x14101)),a2)),
% 4.99/5.10 inference(rename_variables,[],[264])).
% 4.99/5.10 cnf(1414,plain,
% 4.99/5.10 (~E(f26(a13,f12(x14141),x14142,a56,a56),f31(f31(a13,f15(x14143)),x14144))),
% 4.99/5.10 inference(scs_inference,[],[334,348,369,366,367,368,340,1322,1364,1378,1397,356,1314,212,361,217,1315,256,370,264,254,295,364,192,183,213,1300,188,358,1394,186,1002,1319,1368,712,1353,1393,718,1071,1016,1024,1341,1344,1151,750,695,762,1214,1186,681,684,1008,826,1154,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2])).
% 4.99/5.10 cnf(1418,plain,
% 4.99/5.10 (~P27(f31(f31(f40(x14181),f38(x14182)),x14182))),
% 4.99/5.10 inference(rename_variables,[],[1024])).
% 4.99/5.10 cnf(1426,plain,
% 4.99/5.10 (~P4(f39(f39(f31(f31(f8(a2),x14261),x14262),x14263,x14264),x14264,x14263),x14261,a2)),
% 4.99/5.10 inference(scs_inference,[],[334,348,369,218,249,258,366,1326,367,368,340,1322,1364,1378,1397,356,1314,212,361,217,1315,256,370,264,254,295,364,192,183,213,1300,188,358,1394,186,1002,1319,1368,712,1353,1393,718,1071,1016,1024,1341,1344,1347,1418,1151,750,695,762,1214,1186,681,684,1008,826,1154,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151])).
% 4.99/5.10 cnf(1427,plain,
% 4.99/5.10 (E(f39(f39(x14271,x14272,x14273),x14273,x14272),x14271)),
% 4.99/5.10 inference(rename_variables,[],[249])).
% 4.99/5.10 cnf(1441,plain,
% 4.99/5.10 (P4(x14411,f38(f31(f31(f8(a2),x14411),x14412)),a2)),
% 4.99/5.10 inference(rename_variables,[],[266])).
% 4.99/5.10 cnf(1443,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),f31(f31(f8(a2),x14431),x14432)),x14433),x14431,a2)),
% 4.99/5.10 inference(scs_inference,[],[334,348,351,369,218,249,326,258,366,1326,178,187,367,368,340,1322,1364,1378,1397,1400,356,1314,212,361,217,1315,256,370,264,266,254,295,364,192,183,213,1300,188,358,1394,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,1151,750,695,762,1214,1186,681,684,1008,826,1154,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514])).
% 4.99/5.10 cnf(1457,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),f31(f31(f8(a2),f38(f7(a2))),f38(f7(a2)))),x14571),f38(f7(a2)))),
% 4.99/5.10 inference(scs_inference,[],[334,348,351,352,369,218,249,1427,326,258,366,1326,178,187,367,368,340,1322,1364,1378,1397,1400,356,1314,212,361,217,1315,256,370,264,1410,266,254,295,364,192,183,190,213,1300,188,358,1394,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,764,1151,750,695,762,854,1214,1186,848,681,684,1008,823,826,1154,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414])).
% 4.99/5.10 cnf(1458,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),f38(f7(a2))),x14581),f7(a2))),
% 4.99/5.10 inference(rename_variables,[],[848])).
% 4.99/5.10 cnf(1459,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),x14591),f38(f7(a2))),x14591)),
% 4.99/5.10 inference(rename_variables,[],[854])).
% 4.99/5.10 cnf(1461,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),x14611),f31(f31(f8(a2),f38(f7(a2))),f38(f7(a2)))),f38(f7(a2)))),
% 4.99/5.10 inference(scs_inference,[],[334,348,351,352,369,218,249,1427,326,258,366,1326,178,187,367,368,340,1322,1364,1378,1397,1400,356,1314,212,361,217,1315,256,370,264,1410,266,254,295,364,192,183,190,213,1300,188,358,1394,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,764,1151,750,695,762,854,1459,1214,1186,848,1458,681,684,1008,823,826,1154,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413])).
% 4.99/5.10 cnf(1466,plain,
% 4.99/5.10 (E(f20(x14661,f4(x14662),x14662),x14661)),
% 4.99/5.10 inference(rename_variables,[],[217])).
% 4.99/5.10 cnf(1469,plain,
% 4.99/5.10 (P4(x14691,f31(f31(f8(a2),x14692),f38(f31(f31(f8(a2),x14693),x14691))),a2)),
% 4.99/5.10 inference(scs_inference,[],[334,348,351,352,369,218,249,1427,326,258,366,1326,178,187,367,368,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,217,1315,1382,256,370,264,1410,266,254,295,364,192,183,190,213,1300,188,358,1394,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,764,1151,750,695,762,854,1459,1214,1186,848,1458,681,684,1008,823,826,1154,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495])).
% 4.99/5.10 cnf(1471,plain,
% 4.99/5.10 (P4(x14711,f38(f31(f31(f8(a2),x14712),f31(f31(f8(a2),x14713),x14711))),a2)),
% 4.99/5.10 inference(scs_inference,[],[334,348,351,352,369,218,249,1427,326,258,366,1326,178,187,367,368,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,217,1315,1382,256,370,264,1410,266,254,295,364,192,183,190,213,1300,188,358,1394,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,764,1151,750,695,762,854,1459,1214,1186,848,1458,681,684,1008,823,826,1154,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549])).
% 4.99/5.10 cnf(1478,plain,
% 4.99/5.10 (P4(x14781,f38(f31(f31(f8(a2),x14782),x14781)),a2)),
% 4.99/5.10 inference(rename_variables,[],[264])).
% 4.99/5.10 cnf(1482,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),f31(f31(f8(a2),x14821),x14822)),f38(x14823)),f31(f31(f8(a2),x14823),x14821))),
% 4.99/5.10 inference(scs_inference,[],[334,348,351,352,369,218,249,1427,326,258,366,1326,178,187,367,368,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,217,1315,1382,256,370,264,1410,266,254,295,364,192,183,190,213,1300,1303,188,358,1394,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,764,1151,750,695,762,854,1459,1214,1186,848,1458,681,684,1008,823,826,1154,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549,462,529,449,525,516])).
% 4.99/5.10 cnf(1487,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x14871),x14872),x14871,f31(f43(x14873,x14874,a2,x14875),x14874))),
% 4.99/5.10 inference(scs_inference,[],[334,348,351,352,369,218,249,1427,298,326,258,366,1326,178,187,367,368,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,217,1315,1382,256,370,264,1410,1478,266,254,295,364,192,183,190,213,1300,1303,188,358,1394,184,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,764,1151,750,695,762,854,1459,1214,1186,848,1458,681,684,1008,823,826,1154,987,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549,462,529,449,525,516,535,161,153])).
% 4.99/5.10 cnf(1488,plain,
% 4.99/5.10 (E(f31(f43(x14881,x14882,x14883,x14884),x14882),x14883)),
% 4.99/5.10 inference(rename_variables,[],[298])).
% 4.99/5.10 cnf(1492,plain,
% 4.99/5.10 (~E(f38(f31(f31(f8(a2),x14921),x14922)),x14921)),
% 4.99/5.10 inference(scs_inference,[],[198,334,348,351,352,369,218,249,1427,298,326,258,366,1326,178,187,367,368,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,217,1315,1382,256,370,264,1410,1478,266,254,295,364,363,192,183,190,213,1300,1303,188,358,1394,184,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,764,775,1151,750,695,762,854,1459,1214,1186,848,1458,681,684,1008,823,826,1154,987,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549,462,529,449,525,516,535,161,153,149,23,8])).
% 4.99/5.10 cnf(1496,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x14961),x14962),x14961,a2)),
% 4.99/5.10 inference(rename_variables,[],[366])).
% 4.99/5.10 cnf(1497,plain,
% 4.99/5.10 (~E(a3,x14971)+P22(x14971)),
% 4.99/5.10 inference(scs_inference,[],[204,198,334,348,351,352,369,218,249,1427,298,326,258,366,1326,178,187,191,367,368,1306,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,217,1315,1382,256,370,264,1410,1478,266,254,295,364,363,192,183,190,213,1300,1303,188,358,1394,184,186,1002,1319,1368,712,1353,1393,1406,718,1071,1016,1024,1341,1344,1347,1418,764,775,1151,750,695,1028,762,854,1459,1214,1186,848,1458,681,684,1008,823,826,1154,987,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549,462,529,449,525,516,535,161,153,149,23,8,7,167,152,150])).
% 4.99/5.10 cnf(1505,plain,
% 4.99/5.10 (~E(f12(x15051),f31(f31(a13,x15052),x15053))),
% 4.99/5.10 inference(rename_variables,[],[348])).
% 4.99/5.10 cnf(1506,plain,
% 4.99/5.10 (~P27(f31(f31(a14,f12(x15061)),x15062))),
% 4.99/5.10 inference(rename_variables,[],[363])).
% 4.99/5.10 cnf(1512,plain,
% 4.99/5.10 (P9(f43(a66,a68,a61,a58),f29(f31(f9(f31(f9(a21,a56,a56,f59(a2,a56)),f12(x15121)),a56,a2,a56),x15122),f29(f31(f9(a17,a56,a2,a56),x15122),a70,a56,a56),a56,a56),f50(a63,f43(a66,a68,a61,a58),a67,a70))),
% 4.99/5.10 inference(scs_inference,[],[204,198,334,348,1505,351,352,369,218,249,1427,298,326,258,366,1326,178,187,191,367,368,1306,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,217,1315,1382,256,370,264,1410,1478,266,254,1375,295,364,363,192,183,190,213,1300,1303,188,358,1394,184,186,303,1002,1319,1368,712,1353,1393,1406,718,777,1071,1016,1024,1341,1344,1347,1418,764,775,1107,1151,750,695,1028,762,854,1459,1214,1186,998,848,1458,681,684,1350,1008,823,826,1154,987,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549,462,529,449,525,516,535,161,153,149,23,8,7,167,152,150,464,539,595,575,651])).
% 4.99/5.10 cnf(1514,plain,
% 4.99/5.10 (E(f24(x15141,f35(x15141,x15142,f24(x15141,x15142,x15143),f4(x15143),x15143),x15143),f24(x15141,x15142,x15143))),
% 4.99/5.10 inference(scs_inference,[],[204,198,334,348,1505,351,352,369,218,249,1427,298,326,258,366,1326,178,187,191,367,368,1306,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,1323,217,1315,1382,1466,256,370,264,1410,1478,266,254,1375,295,364,363,192,183,190,213,1300,1303,188,358,1394,184,186,303,1002,1319,1368,712,1353,1393,1406,718,777,1071,1016,1024,1341,1344,1347,1418,764,775,1107,1151,750,695,1028,762,854,1459,1214,1186,998,848,1458,681,684,1350,1008,823,826,1154,987,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549,462,529,449,525,516,535,161,153,149,23,8,7,167,152,150,464,539,595,575,651,621])).
% 4.99/5.10 cnf(1531,plain,
% 4.99/5.10 (~P4(f38(f38(f31(f31(f8(a2),x15311),x15312))),x15311,a2)),
% 4.99/5.10 inference(scs_inference,[],[338,204,198,334,336,348,1505,351,352,369,218,249,1427,298,1488,326,258,366,1326,1496,178,187,191,367,368,1306,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,1323,217,1315,1382,1466,256,1311,370,264,1410,1478,266,1441,254,1375,295,364,363,1506,192,183,190,213,1300,1303,188,358,1394,184,186,303,1182,1002,1319,1368,712,1353,1393,1406,718,777,1071,1016,1024,1341,1344,1347,1418,764,775,1107,1151,750,695,1028,762,854,1459,1214,1186,998,848,1458,681,684,1350,1008,823,826,1154,987,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549,462,529,449,525,516,535,161,153,149,23,8,7,167,152,150,464,539,595,575,651,621,501,466,159,587,600,565,502])).
% 4.99/5.10 cnf(1545,plain,
% 4.99/5.10 (P9(f43(f43(a66,a68,a61,a58),a67,f31(f43(a66,a68,a61,a58),x15451),a58),f29(f31(f9(a17,a56,a2,a56),a1),a70,a56,a56),f50(a63,f43(a66,a68,a61,a58),a67,a70))),
% 4.99/5.10 inference(scs_inference,[],[338,204,198,334,336,348,1505,351,352,369,218,249,1427,298,1488,326,258,366,1326,1496,178,187,191,367,368,1306,340,1322,1364,1378,1397,1400,356,1314,1383,212,361,1323,217,1315,1382,1466,256,1311,370,264,1410,1478,266,1441,254,1375,295,364,363,1506,192,183,190,236,213,1300,1303,188,358,1394,184,186,303,1182,1002,1319,1368,712,1353,1393,1406,718,777,1071,1016,1024,1341,1344,1347,1418,764,775,1107,1151,750,695,1028,762,854,1459,1214,1186,913,998,848,1458,681,684,1350,1008,829,823,826,1154,987,1169,637,613,656,636,566,620,619,618,442,552,451,437,435,582,418,646,650,610,498,401,594,444,443,599,626,612,585,643,617,616,615,481,478,459,666,476,461,428,531,474,2,563,648,597,517,169,151,3,422,573,384,586,536,514,497,432,493,562,168,480,414,413,614,495,549,462,529,449,525,516,535,161,153,149,23,8,7,167,152,150,464,539,595,575,651,621,501,466,159,587,600,565,502,538,438,642,641,513,170])).
% 4.99/5.10 cnf(1549,plain,
% 4.99/5.10 (~E(f20(x15491,f24(f38(x15492),f4(x15493),x15493),x15493),f24(x15492,f24(x15492,f20(x15494,f24(x15492,f4(x15493),x15493),x15493),x15493),x15493))),
% 4.99/5.10 inference(scs_inference,[],[1317,1016,619])).
% 4.99/5.10 cnf(1550,plain,
% 4.99/5.10 (~E(f20(x15501,f24(f38(x15502),f4(x15503),x15503),x15503),f24(x15502,f20(x15504,f24(x15502,f4(x15503),x15503),x15503),x15503))),
% 4.99/5.10 inference(rename_variables,[],[1317])).
% 4.99/5.10 cnf(1551,plain,
% 4.99/5.10 (~E(f24(f38(x15511),x15512,x15513),f24(x15511,x15514,x15513))),
% 4.99/5.10 inference(rename_variables,[],[1016])).
% 4.99/5.10 cnf(1553,plain,
% 4.99/5.10 (P4(f38(f7(a2)),f31(f31(f8(a2),f31(f31(f8(a2),f38(f7(a2))),f38(f7(a2)))),f38(f7(a2))),a2)),
% 4.99/5.10 inference(scs_inference,[],[365,192,1317,1457,1016,619,442])).
% 4.99/5.10 cnf(1554,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x15541),x15542),x15542,a2)),
% 4.99/5.10 inference(rename_variables,[],[365])).
% 4.99/5.10 cnf(1555,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),f31(f31(f8(a2),f38(f7(a2))),f38(f7(a2)))),x15551),f38(f7(a2)))),
% 4.99/5.10 inference(rename_variables,[],[1457])).
% 4.99/5.10 cnf(1557,plain,
% 4.99/5.10 (P6(f41(a65),f20(x15571,f24(a69,x15572,x15573),x15573),f20(x15571,f24(a61,x15572,x15573),x15573),x15573)),
% 4.99/5.10 inference(scs_inference,[],[365,192,1317,1457,730,1016,619,442,582])).
% 4.99/5.10 cnf(1563,plain,
% 4.99/5.10 (~E(f24(x15631,x15632,x15633),x15632)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1567,plain,
% 4.99/5.10 (~E(f38(x15671),x15671)),
% 4.99/5.10 inference(rename_variables,[],[340])).
% 4.99/5.10 cnf(1572,plain,
% 4.99/5.10 (~E(f24(x15721,x15722,x15723),x15722)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1574,plain,
% 4.99/5.10 (P27(f31(f31(f37(x15741,x15742),f18(x15743,x15744,x15745,f15(x15746),a57)),f31(x15745,x15746)))),
% 4.99/5.10 inference(scs_inference,[],[349,199,365,340,356,1563,217,256,213,192,1317,1457,730,770,1016,619,442,582,162,617,618,437,418,646])).
% 4.99/5.10 cnf(1575,plain,
% 4.99/5.10 (P27(f31(f31(f37(x15751,x15752),x15753),x15753))),
% 4.99/5.10 inference(rename_variables,[],[256])).
% 4.99/5.10 cnf(1578,plain,
% 4.99/5.10 (P27(f31(f31(f37(x15781,x15782),x15783),x15783))),
% 4.99/5.10 inference(rename_variables,[],[256])).
% 4.99/5.10 cnf(1581,plain,
% 4.99/5.10 (P27(f31(f31(f37(x15811,x15812),x15813),x15813))),
% 4.99/5.10 inference(rename_variables,[],[256])).
% 4.99/5.10 cnf(1584,plain,
% 4.99/5.10 (~E(f24(f38(x15841),x15842,x15843),f24(x15841,x15844,x15843))),
% 4.99/5.10 inference(rename_variables,[],[1016])).
% 4.99/5.10 cnf(1585,plain,
% 4.99/5.10 (~E(f24(x15851,x15852,x15853),x15852)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1588,plain,
% 4.99/5.10 (~E(f20(x15881,f24(f38(x15882),f4(x15883),x15883),x15883),f24(x15882,f20(x15884,f24(x15882,f4(x15883),x15883),x15883),x15883))),
% 4.99/5.10 inference(rename_variables,[],[1317])).
% 4.99/5.10 cnf(1591,plain,
% 4.99/5.10 (P4(x15911,f38(f31(f31(f8(a2),x15912),f31(f31(f8(a2),x15913),f38(x15911)))),a2)),
% 4.99/5.10 inference(scs_inference,[],[349,199,365,340,1567,356,1563,1572,217,256,1575,1578,213,192,1317,1550,1457,730,1471,770,1016,1551,619,442,582,162,617,618,437,418,646,650,610,616,615,451])).
% 4.99/5.10 cnf(1592,plain,
% 4.99/5.10 (P4(x15921,f38(f31(f31(f8(a2),x15922),f31(f31(f8(a2),x15923),x15921))),a2)),
% 4.99/5.10 inference(rename_variables,[],[1471])).
% 4.99/5.10 cnf(1594,plain,
% 4.99/5.10 (~E(f20(x15941,f24(f38(x15942),f4(x15943),x15943),x15943),f24(f38(f38(x15942)),f24(x15942,f20(x15944,f24(x15942,f4(x15943),x15943),x15943),x15943),x15943))),
% 4.99/5.10 inference(scs_inference,[],[349,199,365,340,1567,356,1563,1572,217,256,1575,1578,213,192,1317,1550,1588,1457,730,1471,770,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620])).
% 4.99/5.10 cnf(1602,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x16021),x16022),x16021,a2)),
% 4.99/5.10 inference(rename_variables,[],[366])).
% 4.99/5.10 cnf(1607,plain,
% 4.99/5.10 (P4(x16071,f38(f31(f31(f8(a2),x16072),f31(f31(f8(a2),x16073),x16071))),a2)),
% 4.99/5.10 inference(rename_variables,[],[1471])).
% 4.99/5.10 cnf(1617,plain,
% 4.99/5.10 (~P4(f38(f38(x16171)),x16171,a2)),
% 4.99/5.10 inference(rename_variables,[],[1388])).
% 4.99/5.10 cnf(1623,plain,
% 4.99/5.10 (P4(x16231,f38(f38(f38(x16231))),a2)),
% 4.99/5.10 inference(scs_inference,[],[349,199,366,1602,365,1554,354,340,1567,356,1563,1572,217,256,1575,1578,264,213,192,190,188,1317,1550,1588,1457,730,1512,1388,1617,1471,1592,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432])).
% 4.99/5.10 cnf(1624,plain,
% 4.99/5.10 (~P4(f38(f38(x16241)),x16241,a2)),
% 4.99/5.10 inference(rename_variables,[],[1388])).
% 4.99/5.10 cnf(1627,plain,
% 4.99/5.10 (P4(x16271,f38(f31(f31(f8(a2),x16272),x16271)),a2)),
% 4.99/5.10 inference(rename_variables,[],[264])).
% 4.99/5.10 cnf(1632,plain,
% 4.99/5.10 (P4(x16321,f38(f31(f31(f8(a2),x16322),x16321)),a2)),
% 4.99/5.10 inference(rename_variables,[],[264])).
% 4.99/5.10 cnf(1633,plain,
% 4.99/5.10 (P4(x16331,f38(f31(f31(f8(a2),f31(f31(f8(a2),x16331),x16332)),x16333)),a2)),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,366,1602,365,1554,354,340,1567,356,1563,1572,217,256,1575,1578,264,1627,266,213,192,190,188,1317,1550,1588,1457,730,1512,1388,1617,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514])).
% 4.99/5.10 cnf(1634,plain,
% 4.99/5.10 (P4(x16341,f38(f31(f31(f8(a2),x16341),x16342)),a2)),
% 4.99/5.10 inference(rename_variables,[],[266])).
% 4.99/5.10 cnf(1636,plain,
% 4.99/5.10 (P6(f41(f43(a65,a1,a61,a58)),f24(f26(a13,f31(f31(a13,f12(a67)),a60),a64,a56,a56),x16361,x16362),f24(a62,x16361,x16362),x16362)),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,336,366,1602,365,1554,354,340,1567,356,1563,1572,217,256,1575,1578,264,1627,266,213,192,190,188,1317,1550,1588,1457,730,1512,1388,1617,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563])).
% 4.99/5.10 cnf(1639,plain,
% 4.99/5.10 (P27(f31(f31(f37(x16391,x16392),x16393),x16393))),
% 4.99/5.10 inference(rename_variables,[],[256])).
% 4.99/5.10 cnf(1645,plain,
% 4.99/5.10 (~E(f24(x16451,x16452,x16453),x16452)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1649,plain,
% 4.99/5.10 (~P4(f39(f39(f31(f31(f8(a2),f31(f31(f8(a2),x16491),x16492)),x16493),x16494,x16495),x16495,x16494),x16491,a2)),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,336,351,366,1602,365,1554,354,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,266,213,192,190,188,1317,1550,1588,1457,730,1512,1388,1617,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497])).
% 4.99/5.10 cnf(1652,plain,
% 4.99/5.10 (E(x16521,f16(f7(a2),x16521,x16522))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,210,336,351,366,1602,365,1554,354,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,266,213,192,190,188,1317,1550,1588,1457,730,1512,1388,1617,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2])).
% 4.99/5.10 cnf(1653,plain,
% 4.99/5.10 (~P4(x16531,f31(f31(f8(a2),x16531),f32(f4(x16532),f55(x16532))),a2)),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,210,207,336,351,366,1602,365,1554,354,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,266,364,213,192,190,188,1317,1550,1588,1457,730,1512,1388,1617,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516])).
% 4.99/5.10 cnf(1656,plain,
% 4.99/5.10 (~P4(f38(f38(f38(x16561))),x16561,a2)),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,210,207,336,351,366,1602,365,1554,354,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,266,364,213,192,190,188,1317,1550,1588,1457,730,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449])).
% 4.99/5.10 cnf(1660,plain,
% 4.99/5.10 (P6(f41(a65),f24(a69,x16601,x16602),f24(a61,x16601,x16602),x16602)),
% 4.99/5.10 inference(rename_variables,[],[730])).
% 4.99/5.10 cnf(1661,plain,
% 4.99/5.10 (P4(x16611,f38(f31(f31(f8(a2),x16612),x16611)),f16(f7(a2),a2,x16613))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,210,207,336,351,366,1602,365,1554,354,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,364,213,192,190,188,1317,1550,1588,1457,730,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153])).
% 4.99/5.10 cnf(1674,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x16741),x16742),x16741,a2)),
% 4.99/5.10 inference(rename_variables,[],[366])).
% 4.99/5.10 cnf(1676,plain,
% 4.99/5.10 (~P4(x16761,x16761,f16(f7(a2),a2,x16762))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,210,194,270,261,207,336,351,366,1602,365,1554,354,368,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,364,213,363,192,190,188,1317,1550,1588,1325,1457,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229])).
% 4.99/5.10 cnf(1679,plain,
% 4.99/5.10 (~E(a3,x16791)+P20(x16791)),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,336,351,366,1602,365,1554,354,368,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,364,213,363,192,190,188,1317,1550,1588,1325,1457,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148])).
% 4.99/5.10 cnf(1680,plain,
% 4.99/5.10 (P19(f16(f7(a2),a2,x16801))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,336,351,366,1602,365,1554,354,187,368,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,364,213,363,192,190,188,1317,1550,1588,1325,1457,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147])).
% 4.99/5.10 cnf(1681,plain,
% 4.99/5.10 (P24(f16(f7(a2),a2,x16811))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,336,351,366,1602,365,1554,354,187,368,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,364,213,363,192,190,188,186,1317,1550,1588,1325,1457,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146])).
% 4.99/5.10 cnf(1682,plain,
% 4.99/5.10 (P23(f16(f7(a2),a2,x16821))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,336,351,366,1602,365,1554,354,185,187,368,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,364,213,363,192,190,188,186,1317,1550,1588,1325,1457,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145])).
% 4.99/5.10 cnf(1683,plain,
% 4.99/5.10 (P18(f16(f7(a2),a2,x16831))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,336,351,366,1602,365,1554,354,185,187,368,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,364,213,363,192,190,188,184,186,1317,1550,1588,1325,1457,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145,144])).
% 4.99/5.10 cnf(1685,plain,
% 4.99/5.10 (P15(f16(f7(a2),a2,x16851))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,336,351,366,1602,365,1554,354,185,187,368,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,182,364,183,213,363,192,190,188,184,186,1317,1550,1588,1325,1457,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145,144,143,142])).
% 4.99/5.10 cnf(1695,plain,
% 4.99/5.10 (~P4(f36(x16951,f16(f7(a2),a2,x16952)),f7(f16(f7(a2),a2,x16952)),f16(f7(a2),a2,x16952))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,176,177,336,351,179,180,366,1602,365,1554,354,178,185,187,368,340,1567,356,1563,1572,1585,217,256,1575,1578,1581,1639,264,1627,1632,266,182,181,175,364,183,213,363,192,190,188,184,186,1317,1550,1588,1325,1457,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,770,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145,144,143,142,141,140,139,138,137,136,135,588,450])).
% 4.99/5.10 cnf(1729,plain,
% 4.99/5.10 (~P4(f38(f31(f31(f8(a2),x17291),x17292)),x17292,f16(f7(a2),a2,x17293))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,176,177,336,351,179,180,366,1602,365,1554,354,178,185,187,368,340,1567,356,1563,1572,1585,1645,217,256,1575,1578,1581,1639,264,1627,1632,266,182,181,175,364,183,213,363,192,190,188,184,186,303,1317,1550,1588,1325,1457,1555,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,1469,770,1081,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145,144,143,142,141,140,139,138,137,136,135,588,450,431,392,388,593,592,579,578,577,623,552,457,566,476,481])).
% 4.99/5.10 cnf(1734,plain,
% 4.99/5.10 (P22(f16(f7(a2),a2,x17341))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,176,177,336,351,179,180,366,1602,1674,365,1554,354,178,185,187,368,340,1567,356,1563,1572,1585,1645,217,256,1575,1578,1581,1639,264,1627,1632,266,182,181,175,364,183,213,363,192,190,188,184,186,303,1317,1550,1588,1325,1457,1555,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,1469,770,1081,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145,144,143,142,141,140,139,138,137,136,135,588,450,431,392,388,593,592,579,578,577,623,552,457,566,476,481,428,150])).
% 4.99/5.10 cnf(1735,plain,
% 4.99/5.10 (P4(x17351,f31(f31(f8(a2),f38(f31(f31(f8(a2),x17352),f7(a2)))),f38(f31(f31(f8(a2),x17351),x17353))),a2)),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,176,177,336,351,179,180,366,1602,1674,365,1554,354,178,185,187,368,340,1567,356,1563,1572,1585,1645,217,256,1575,1578,1581,1639,264,1627,1632,266,1634,182,181,175,364,183,213,363,192,190,188,184,186,303,1317,1550,1588,1325,1457,1555,730,1660,1512,1388,1617,1624,1426,1471,1592,1607,1469,770,1081,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145,144,143,142,141,140,139,138,137,136,135,588,450,431,392,388,593,592,579,578,577,623,552,457,566,476,481,428,150,531])).
% 4.99/5.10 cnf(1748,plain,
% 4.99/5.10 (P27(f31(f31(f37(a14,a56),f15(f18(x17481,x17482,x17483,f15(x17484),a57))),f15(f31(x17483,x17484))))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,176,177,336,351,179,180,366,1602,1674,365,1554,354,178,185,187,368,340,1567,356,1563,1572,1585,1645,217,256,1575,1578,1581,1639,264,1627,1632,266,1634,182,181,175,364,183,213,363,192,190,188,184,186,303,1317,1550,1588,1325,1457,1555,730,1660,1545,1512,1388,1617,1624,1426,1471,1592,1607,1469,770,1081,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145,144,143,142,141,140,139,138,137,136,135,588,450,431,392,388,593,592,579,578,577,623,552,457,566,476,481,428,150,531,482,537,667,668,654,554])).
% 4.99/5.10 cnf(1750,plain,
% 4.99/5.10 (P27(f31(f31(f37(x17501,x17502),f31(f31(x17503,x17504),x17505)),f18(x17506,x17503,x17507,f31(f31(a13,x17504),x17505),a57)))),
% 4.99/5.10 inference(scs_inference,[],[174,349,199,189,210,194,270,261,207,176,177,336,351,179,180,366,1602,1674,365,1554,354,178,185,187,368,340,1567,356,1563,1572,1585,1645,217,256,1575,1578,1581,1639,264,1627,1632,266,1634,182,181,175,364,183,213,363,192,190,188,184,186,303,1317,1550,1588,1325,1457,1555,730,1660,1545,1512,1388,1617,1624,1426,1471,1592,1607,1469,770,1081,1143,1016,1551,1584,619,442,582,162,617,618,437,418,646,650,610,616,615,451,620,498,501,435,462,466,662,502,495,549,525,432,461,474,151,514,563,648,597,517,493,497,2,516,449,169,153,149,7,168,167,3,23,152,8,1229,1152,148,147,146,145,144,143,142,141,140,139,138,137,136,135,588,450,431,392,388,593,592,579,578,577,623,552,457,566,476,481,428,150,531,482,537,667,668,654,554,601])).
% 4.99/5.10 cnf(1762,plain,
% 4.99/5.10 (E(x17621,f16(f7(a2),x17621,x17622))),
% 4.99/5.10 inference(rename_variables,[],[1652])).
% 4.99/5.10 cnf(1767,plain,
% 4.99/5.10 (E(x17671,f16(f7(a2),x17671,x17672))),
% 4.99/5.10 inference(rename_variables,[],[1652])).
% 4.99/5.10 cnf(1770,plain,
% 4.99/5.10 (P4(f7(f16(f7(a2),a2,x17701)),f36(f38(f31(f31(f8(a2),f7(a2)),x17702)),f16(f7(a2),a2,x17701)),f16(f7(a2),a2,x17701))),
% 4.99/5.10 inference(scs_inference,[],[266,1748,1750,1374,1652,1762,1681,837,1679,559,160,588,483])).
% 4.99/5.10 cnf(1771,plain,
% 4.99/5.10 (P4(x17711,f38(f31(f31(f8(a2),x17711),x17712)),a2)),
% 4.99/5.10 inference(rename_variables,[],[266])).
% 4.99/5.10 cnf(1773,plain,
% 4.99/5.10 (~P4(f31(f31(f8(f16(f7(a2),a2,x17731)),x17732),f36(x17733,f16(f7(a2),a2,x17731))),f31(f31(f8(f16(f7(a2),a2,x17731)),x17732),f7(f16(f7(a2),a2,x17731))),f16(f7(a2),a2,x17731))),
% 4.99/5.10 inference(scs_inference,[],[266,1748,1750,1374,1652,1762,1695,1681,1683,837,1679,559,160,588,483,556])).
% 4.99/5.10 cnf(1780,plain,
% 4.99/5.10 (~P4(x17801,f31(f31(f8(a2),x17801),f32(f4(x17802),f55(x17802))),a2)),
% 4.99/5.10 inference(rename_variables,[],[1653])).
% 4.99/5.10 cnf(1783,plain,
% 4.99/5.10 (~P4(x17831,f31(f31(f8(a2),x17831),f32(f4(x17832),f55(x17832))),a2)),
% 4.99/5.10 inference(rename_variables,[],[1653])).
% 4.99/5.10 cnf(1793,plain,
% 4.99/5.10 (~E(f24(x17931,x17932,x17933),f4(x17933))),
% 4.99/5.10 inference(rename_variables,[],[361])).
% 4.99/5.10 cnf(1797,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),x17971),f31(f31(f8(a2),f38(f7(a2))),f38(f7(a2)))),f38(f7(a2)))),
% 4.99/5.10 inference(rename_variables,[],[1461])).
% 4.99/5.10 cnf(1798,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x17981),x17982),x17981,a2)),
% 4.99/5.10 inference(rename_variables,[],[366])).
% 4.99/5.10 cnf(1807,plain,
% 4.99/5.10 (E(x18071,f31(f31(f8(a2),x18071),f32(f4(x18072),f55(x18072))))),
% 4.99/5.10 inference(scs_inference,[],[361,1793,366,217,266,1771,192,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1461,1681,1683,1591,1653,1780,1783,810,837,706,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459])).
% 4.99/5.10 cnf(1808,plain,
% 4.99/5.10 (P4(x18081,f38(f31(f31(f8(a2),x18081),x18082)),a2)),
% 4.99/5.10 inference(rename_variables,[],[266])).
% 4.99/5.10 cnf(1812,plain,
% 4.99/5.10 (P4(x18121,f38(f31(f31(f8(a2),x18121),x18122)),a2)),
% 4.99/5.10 inference(rename_variables,[],[266])).
% 4.99/5.10 cnf(1818,plain,
% 4.99/5.10 (P6(f31(f31(f8(a2),f41(f43(a65,a1,a61,a58))),f32(f4(x18181),f55(x18181))),f24(f26(a13,f31(f31(a13,f12(a67)),a60),a64,a56,a56),x18182,x18183),f24(a62,x18182,x18183),x18183)),
% 4.99/5.10 inference(scs_inference,[],[361,1793,366,217,266,1771,1808,192,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1636,1461,1797,1681,1683,1591,1653,1780,1783,810,837,706,1443,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166])).
% 4.99/5.10 cnf(1825,plain,
% 4.99/5.10 (E(f20(f35(x18251,x18252,f35(x18253,f24(x18251,x18252,x18254),f24(x18253,f24(x18251,x18252,x18254),x18254),f4(x18254),x18254),f4(x18254),x18254),f4(x18254),x18254),x18252)),
% 4.99/5.10 inference(scs_inference,[],[361,1793,295,366,217,266,1771,1808,192,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1636,1461,1797,801,1681,1683,1591,1653,1780,1783,810,837,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620])).
% 4.99/5.10 cnf(1829,plain,
% 4.99/5.10 (P4(f38(x18291),f38(f38(f31(f31(f8(a2),x18291),x18292))),a2)),
% 4.99/5.10 inference(scs_inference,[],[361,1793,295,366,217,266,1771,1808,1812,192,212,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1636,1461,1797,801,1681,1683,1591,1653,1780,1783,810,837,1514,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620,466,498])).
% 4.99/5.10 cnf(1837,plain,
% 4.99/5.10 (P4(x18371,f38(f31(f31(f8(a2),f31(f31(f8(a2),f38(f31(f31(f8(a2),x18372),f7(a2)))),x18371)),x18373)),a2)),
% 4.99/5.10 inference(scs_inference,[],[361,1793,295,366,368,217,266,1771,1808,1812,192,212,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1636,1461,1797,801,1681,1683,1591,1653,1780,1783,1735,810,743,837,1514,1199,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620,466,498,587,662,549])).
% 4.99/5.10 cnf(1842,plain,
% 4.99/5.10 (P4(f31(f31(f8(a2),f7(a2)),f7(a2)),f38(f31(f31(f8(a2),f38(f7(a2))),f38(f7(a2)))),a2)),
% 4.99/5.10 inference(scs_inference,[],[361,1793,295,366,368,217,266,1771,1808,1812,192,212,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1676,1661,1636,1461,1797,801,1681,1683,1591,1653,1780,1783,1735,810,743,837,1514,1199,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620,466,498,587,662,549,531,432])).
% 4.99/5.10 cnf(1850,plain,
% 4.99/5.10 (P4(x18501,f31(f31(f8(a2),x18502),f38(f31(f31(f8(a2),x18501),x18503))),a2)),
% 4.99/5.10 inference(scs_inference,[],[361,1793,295,366,368,217,266,1771,1808,1812,364,192,212,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1676,1661,1729,1636,1461,1797,801,1681,1683,1734,1591,1653,1780,1783,1735,810,743,837,1514,1147,1199,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620,466,498,587,662,549,531,432,514,493,502,495])).
% 4.99/5.10 cnf(1864,plain,
% 4.99/5.10 (~E(x18641,f31(f31(f8(a2),f38(f31(f31(f8(a2),x18641),x18642))),x18643))),
% 4.99/5.10 inference(scs_inference,[],[289,361,1793,295,366,1798,368,217,266,1771,1808,1812,364,192,212,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1676,1661,1729,1636,1461,1797,801,1681,1683,1734,1531,1591,1653,1780,1783,1735,810,743,837,1514,1147,1199,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620,466,498,587,662,549,531,432,514,493,502,495,462,461,516,525,474,151])).
% 4.99/5.10 cnf(1865,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x18651),x18652),x18651,a2)),
% 4.99/5.10 inference(rename_variables,[],[366])).
% 4.99/5.10 cnf(1869,plain,
% 4.99/5.10 (P4(x18691,f31(f31(f8(a2),f38(f31(f31(f8(a2),x18691),x18692))),x18693),a2)),
% 4.99/5.10 inference(scs_inference,[],[289,203,361,1793,295,366,1798,368,217,266,1771,1808,1812,364,192,212,183,1549,1748,1349,1750,1374,1652,1762,1767,1695,1676,1661,1729,1636,1461,1797,801,1681,1683,1734,1531,1591,1653,1780,1783,1735,810,743,837,1514,1147,1199,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620,466,498,587,662,549,531,432,514,493,502,495,462,461,516,525,474,151,517,497])).
% 4.99/5.10 cnf(1877,plain,
% 4.99/5.10 (~E(f31(f31(f8(a2),f38(x18771)),x18772),x18771)),
% 4.99/5.10 inference(scs_inference,[],[243,289,203,361,1793,295,366,1798,1865,368,217,266,1771,1808,1812,364,192,212,183,1549,1748,1349,1750,1482,1374,1652,1762,1767,1695,1676,1661,1729,1636,1461,1797,801,1681,1683,1734,1531,1591,1653,1780,1783,1735,810,743,837,1514,1492,1147,1199,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620,466,498,587,662,549,531,432,514,493,502,495,462,461,516,525,474,151,517,497,449,153,7,23])).
% 4.99/5.10 cnf(1880,plain,
% 4.99/5.10 (~E(f20(x18801,f24(a61,x18802,x18803),x18803),f4(x18803))),
% 4.99/5.10 inference(scs_inference,[],[243,289,344,203,361,1793,295,366,1798,1865,368,217,266,1771,1808,1812,364,192,367,212,183,1549,1748,1349,1750,1482,1374,1652,1762,1767,1695,1676,1661,1729,1636,1557,1461,1797,801,1681,1683,1734,1531,1591,1653,1780,1783,1735,810,743,837,1514,1492,1147,1199,706,1443,695,1016,1679,559,160,588,483,556,499,557,385,456,552,172,617,615,442,614,451,481,459,457,428,166,582,616,620,466,498,587,662,549,531,432,514,493,502,495,462,461,516,525,474,151,517,497,449,153,7,23,2,168])).
% 4.99/5.10 cnf(1918,plain,
% 4.99/5.10 (E(x19181,f31(f31(f8(a2),x19181),f32(f4(x19182),f55(x19182))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1920,plain,
% 4.99/5.10 (E(x19201,f31(f31(f8(a2),x19201),f32(f4(x19202),f55(x19202))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1922,plain,
% 4.99/5.10 (E(x19221,f31(f31(f8(a2),x19221),f32(f4(x19222),f55(x19222))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1924,plain,
% 4.99/5.10 (E(x19241,f31(f31(f8(a2),x19241),f32(f4(x19242),f55(x19242))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1926,plain,
% 4.99/5.10 (E(x19261,f31(f31(f8(a2),x19261),f32(f4(x19262),f55(x19262))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1928,plain,
% 4.99/5.10 (E(x19281,f31(f31(f8(a2),x19281),f32(f4(x19282),f55(x19282))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1930,plain,
% 4.99/5.10 (E(x19301,f31(f31(f8(a2),x19301),f32(f4(x19302),f55(x19302))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1937,plain,
% 4.99/5.10 (P8(f39(a14,a56,a56),f31(f31(f8(a2),a69),f32(f4(x19371),f55(x19371))),a56)),
% 4.99/5.10 inference(scs_inference,[],[175,177,189,180,185,187,184,1825,1807,1918,1920,1922,1924,1926,1928,1930,1850,693,1497,147,145,137,148,140,135,556,405,156])).
% 4.99/5.10 cnf(1938,plain,
% 4.99/5.10 (E(x19381,f31(f31(f8(a2),x19381),f32(f4(x19382),f55(x19382))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1940,plain,
% 4.99/5.10 (E(x19401,f31(f31(f8(a2),x19401),f32(f4(x19402),f55(x19402))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(1942,plain,
% 4.99/5.10 (~E(f24(x19421,x19422,x19423),x19422)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(1955,plain,
% 4.99/5.10 (~E(f20(x19551,f24(f38(x19552),f4(x19553),x19553),x19553),f24(f38(f38(x19552)),f24(x19552,f20(x19554,f24(x19552,f4(x19553),x19553),x19553),x19553),x19553))),
% 4.99/5.10 inference(rename_variables,[],[1594])).
% 4.99/5.10 cnf(1958,plain,
% 4.99/5.10 (~E(f24(x19581,x19582,x19583),f4(x19583))),
% 4.99/5.10 inference(rename_variables,[],[361])).
% 4.99/5.10 cnf(1964,plain,
% 4.99/5.10 (P4(x19641,f38(f38(f38(x19641))),a2)),
% 4.99/5.10 inference(rename_variables,[],[1623])).
% 4.99/5.10 cnf(1967,plain,
% 4.99/5.10 (~E(x19671,f31(f31(f8(a2),f38(f31(f31(f8(a2),x19671),x19672))),x19673))),
% 4.99/5.10 inference(rename_variables,[],[1864])).
% 4.99/5.10 cnf(1968,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x19681),x19682),x19682,a2)),
% 4.99/5.10 inference(rename_variables,[],[365])).
% 4.99/5.10 cnf(2002,plain,
% 4.99/5.10 (~P4(f38(f38(f38(x20021))),x20021,a2)),
% 4.99/5.10 inference(rename_variables,[],[1656])).
% 4.99/5.10 cnf(2006,plain,
% 4.99/5.10 (~E(f20(x20061,f24(f38(x20062),f4(x20063),x20063),x20063),f24(f38(f38(x20062)),f24(x20062,f20(x20064,f24(x20062,f4(x20063),x20063),x20063),x20063),x20063))),
% 4.99/5.10 inference(rename_variables,[],[1594])).
% 4.99/5.10 cnf(2009,plain,
% 4.99/5.10 (~P6(x20091,f4(x20092),x20093,x20092)),
% 4.99/5.10 inference(rename_variables,[],[368])).
% 4.99/5.10 cnf(2012,plain,
% 4.99/5.10 (~P4(f31(f31(f8(a2),x20121),x20122),x20122,a2)),
% 4.99/5.10 inference(rename_variables,[],[365])).
% 4.99/5.10 cnf(2028,plain,
% 4.99/5.10 (~P4(f38(f38(f38(x20281))),x20281,a2)),
% 4.99/5.10 inference(rename_variables,[],[1656])).
% 4.99/5.10 cnf(2031,plain,
% 4.99/5.10 (~P4(f38(f38(f38(x20311))),x20311,a2)),
% 4.99/5.10 inference(rename_variables,[],[1656])).
% 4.99/5.10 cnf(2042,plain,
% 4.99/5.10 (~P4(x20421,x20421,a3)),
% 4.99/5.10 inference(rename_variables,[],[670])).
% 4.99/5.10 cnf(2050,plain,
% 4.99/5.10 (~E(f31(f31(a13,f15(x20501)),x20502),f26(a13,f12(x20503),x20504,a56,a56))),
% 4.99/5.10 inference(rename_variables,[],[369])).
% 4.99/5.10 cnf(2057,plain,
% 4.99/5.10 (~P4(x20571,x20571,a3)),
% 4.99/5.10 inference(rename_variables,[],[670])).
% 4.99/5.10 cnf(2068,plain,
% 4.99/5.10 (~E(f24(x20681,x20682,x20683),x20682)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(2075,plain,
% 4.99/5.10 (~E(f24(x20751,x20752,x20753),x20752)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(2078,plain,
% 4.99/5.10 (~E(f24(x20781,x20782,x20783),x20782)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(2094,plain,
% 4.99/5.10 (~E(f24(x20941,x20942,x20943),x20942)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(2099,plain,
% 4.99/5.10 (~E(f24(x20991,x20992,x20993),x20992)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(2106,plain,
% 4.99/5.10 (P9(f43(a65,a1,a61,a58),a64,f46(a62,f43(a65,a1,a61,a58),f31(f31(a13,f12(a67)),a60),a64))),
% 4.99/5.10 inference(scs_inference,[],[175,200,670,2042,2057,225,195,314,237,369,2050,326,177,336,189,180,344,365,1968,2012,185,187,356,1942,2068,2075,2078,2094,368,2009,340,361,1958,217,348,266,366,264,367,188,363,183,184,190,192,223,1825,1594,1955,1773,1880,1807,1918,1920,1922,1924,1926,1928,1930,1938,1877,1864,1967,1770,1818,1099,1553,1414,1680,1682,1623,1964,1656,2002,2028,2031,1649,1842,1829,1633,1837,1869,1850,1328,839,1052,715,1487,1482,693,1016,1681,1497,147,145,137,148,140,135,556,405,156,155,619,536,470,478,501,617,621,385,451,457,481,552,428,543,614,466,549,459,531,432,582,498,620,587,502,461,474,166,493,517,514,495,497,462,516,449,151,7,8,153,149,169,3,23,167,2,168,152,527,508,390,386,604,485,410,603,602,633,492,399,376,607,606,542,500,417,608,660,658])).
% 4.99/5.10 cnf(2109,plain,
% 4.99/5.10 (~E(f24(x21091,x21092,x21093),x21092)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(2116,plain,
% 4.99/5.10 (P24(f31(f31(f8(a2),a2),f32(f4(x21161),f55(x21161))))),
% 4.99/5.10 inference(scs_inference,[],[175,200,670,2042,2057,225,195,314,237,369,2050,326,177,336,189,180,344,365,1968,2012,185,187,356,1942,2068,2075,2078,2094,2099,368,2009,340,361,1958,217,348,266,366,334,264,367,188,363,183,184,190,192,223,186,1825,1594,1955,1773,1880,1807,1918,1920,1922,1924,1926,1928,1930,1938,1940,1877,1864,1967,1770,1818,1099,1553,1414,1680,1682,1623,1964,1656,2002,2028,2031,1649,1842,1829,1633,1837,1869,1850,1328,839,1052,715,1487,1482,693,1016,1681,1497,147,145,137,148,140,135,556,405,156,155,619,536,470,478,501,617,621,385,451,457,481,552,428,543,614,466,549,459,531,432,582,498,620,587,502,461,474,166,493,517,514,495,497,462,516,449,151,7,8,153,149,169,3,23,167,2,168,152,527,508,390,386,604,485,410,603,602,633,492,399,376,607,606,542,500,417,608,660,658,477,665,663,16,146])).
% 4.99/5.10 cnf(2117,plain,
% 4.99/5.10 (E(x21171,f31(f31(f8(a2),x21171),f32(f4(x21172),f55(x21172))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(2119,plain,
% 4.99/5.10 (E(x21191,f31(f31(f8(a2),x21191),f32(f4(x21192),f55(x21192))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(2121,plain,
% 4.99/5.10 (E(x21211,f31(f31(f8(a2),x21211),f32(f4(x21212),f55(x21212))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(2123,plain,
% 4.99/5.10 (E(x21231,f31(f31(f8(a2),x21231),f32(f4(x21232),f55(x21232))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(2125,plain,
% 4.99/5.10 (E(x21251,f31(f31(f8(a2),x21251),f32(f4(x21252),f55(x21252))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(2127,plain,
% 4.99/5.10 (E(x21271,f31(f31(f8(a2),x21271),f32(f4(x21272),f55(x21272))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(2129,plain,
% 4.99/5.10 (E(x21291,f31(f31(f8(a2),x21291),f32(f4(x21292),f55(x21292))))),
% 4.99/5.10 inference(rename_variables,[],[1807])).
% 4.99/5.10 cnf(2148,plain,
% 4.99/5.10 (~P9(f43(a65,a1,a61,a58),a64,f45(a62,f43(a65,a1,a61,a58),f31(f31(a13,f12(a67)),a60),a64))),
% 4.99/5.10 inference(scs_inference,[],[175,200,670,2042,2057,225,195,314,237,369,2050,326,176,177,336,189,180,344,179,365,1968,2012,178,185,187,356,1942,2068,2075,2078,2094,2099,2109,181,182,368,2009,340,361,1958,217,348,266,366,334,264,367,188,363,183,184,190,192,223,186,1825,1594,1955,2006,1773,1880,1807,1918,1920,1922,1924,1926,1928,1930,1938,1940,2117,2119,2121,2123,2125,2127,2129,1877,1864,1967,1770,1818,1099,1553,1414,1680,1682,1623,1964,1656,2002,2028,2031,1649,1842,1829,1633,1837,1869,1850,1328,839,1052,715,1487,1482,693,1016,1681,1497,147,145,137,148,140,135,556,405,156,155,619,536,470,478,501,617,621,385,451,457,481,552,428,543,614,466,549,459,531,432,582,498,620,587,502,461,474,166,493,517,514,495,497,462,516,449,151,7,8,153,149,169,3,23,167,2,168,152,527,508,390,386,604,485,410,603,602,633,492,399,376,607,606,542,500,417,608,660,658,477,665,663,16,146,143,142,139,138,144,141,136,650,615,646,610,648,597,525,1298])).
% 4.99/5.10 cnf(2359,plain,
% 4.99/5.10 (~E(f24(x23591,x23592,x23593),x23592)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(2364,plain,
% 4.99/5.10 (~E(f24(x23641,x23642,x23643),x23642)),
% 4.99/5.10 inference(rename_variables,[],[356])).
% 4.99/5.10 cnf(2395,plain,
% 4.99/5.10 ($false),
% 4.99/5.10 inference(scs_inference,[],[196,350,191,254,354,365,356,2359,2364,266,364,184,336,2116,1340,1685,2148,1937,2106,1574,1682,551,1298,488,381,131,129,127,126,125,123,118,117,115,114,113,112,111,110,109,108,107,106,105,103,101,100,98,95,93,90,89,87,86,84,79,78,76,68,63,62,61,59,57,56,53,52,50,46,44,43,38,33,30,26,25,22,13,9,491,419,506,448,627,507,520,66,35,372,467,42,383,486,453,36,32,31,99,27,24,4,556,405,533,657]),
% 4.99/5.10 ['proof']).
% 4.99/5.11 % SZS output end Proof
% 4.99/5.11 % Total time :4.290000s
%------------------------------------------------------------------------------