TSTP Solution File: LCL762-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL762-1 : 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 : n011.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 06:50:46 EDT 2023
% Result : Unsatisfiable 0.59s 0.83s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL762-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 17:31:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.52/0.80 %-------------------------------------------
% 0.52/0.80 % File :CSE---1.6
% 0.52/0.80 % Problem :theBenchmark
% 0.52/0.80 % Transform :cnf
% 0.52/0.80 % Format :tptp:raw
% 0.52/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.80
% 0.52/0.80 % Result :Theorem 0.070000s
% 0.52/0.80 % Output :CNFRefutation 0.070000s
% 0.52/0.80 %-------------------------------------------
% 0.52/0.80 %------------------------------------------------------------------------------
% 0.52/0.80 % File : LCL762-1 : TPTP v8.1.2. Released v4.1.0.
% 0.52/0.80 % Domain : Logic Calculi
% 0.52/0.80 % Problem : Strong normalization of typed lambda calculus 066_4
% 0.52/0.80 % Version : Especial.
% 0.52/0.80 % English :
% 0.52/0.80
% 0.52/0.80 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.52/0.80 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.52/0.80 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.52/0.80 % Source : [Nip10]
% 0.52/0.80 % Names : StrongNorm-066_4 [Nip10]
% 0.52/0.80
% 0.52/0.80 % Status : Unsatisfiable
% 0.52/0.80 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.21 v4.1.0
% 0.52/0.80 % Syntax : Number of clauses : 422 ( 147 unt; 54 nHn; 205 RR)
% 0.52/0.80 % Number of literals : 833 ( 341 equ; 364 neg)
% 0.52/0.80 % Maximal clause size : 4 ( 1 avg)
% 0.52/0.80 % Maximal term depth : 6 ( 2 avg)
% 0.52/0.80 % Number of predicates : 31 ( 30 usr; 0 prp; 1-4 aty)
% 0.52/0.80 % Number of functors : 84 ( 84 usr; 11 con; 0-5 aty)
% 0.52/0.80 % Number of variables : 1322 ( 230 sgn)
% 0.52/0.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.52/0.80
% 0.52/0.80 % Comments :
% 0.52/0.80 %------------------------------------------------------------------------------
% 0.52/0.80 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.52/0.80 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.52/0.80 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_foldl__foldr1_0,axiom,
% 0.52/0.80 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.52/0.80 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.52/0.80 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.52/0.80 | V_i = V_k
% 0.52/0.80 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.52/0.80 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_length__greater__0__conv_0,axiom,
% 0.52/0.80 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.52/0.80 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.52/0.80 | V_x = V_y
% 0.52/0.80 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_list__app__typeD_0,axiom,
% 0.52/0.80 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.52/0.80 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_length__list__update_0,axiom,
% 0.52/0.80 c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.52/0.80 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_length__greater__0__conv_1,axiom,
% 0.52/0.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.52/0.80 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_rtranclp__converseI_0,axiom,
% 0.52/0.80 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 0.52/0.80 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_rtranclp__converseD_0,axiom,
% 0.52/0.80 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 0.52/0.80 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_conversepD_0,axiom,
% 0.52/0.80 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 0.52/0.80 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_conversep__iff_1,axiom,
% 0.52/0.80 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 0.52/0.80 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_conversep_Ocases_0,axiom,
% 0.52/0.80 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 0.52/0.80 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_conversep_Ointros_0,axiom,
% 0.52/0.80 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 0.52/0.80 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.52/0.80
% 0.52/0.80 cnf(cls_not__less0_0,axiom,
% 0.52/0.80 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.52/0.80
% 0.52/0.81 cnf(cls_gr__implies__not0_0,axiom,
% 0.52/0.81 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_xt1_I10_J_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_order__less__trans_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.52/0.81 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.52/0.81 | V_m = V_n ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_accp__downwards_0,axiom,
% 0.52/0.81 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.52/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 0.52/0.81 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_accp__downwards__aux_0,axiom,
% 0.52/0.81 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.52/0.81 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.52/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_list__app__typeE_0,axiom,
% 0.52/0.81 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.52/0.81 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_IT__implies__termi_0,axiom,
% 0.52/0.81 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 0.52/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_termi__implies__IT_0,axiom,
% 0.52/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 0.52/0.81 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_length__remdups__eq_0,axiom,
% 0.52/0.81 ( c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
% 0.52/0.81 | c_List_Oremdups(V_xs,T_a) = V_xs ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_length__remdups__eq_1,axiom,
% 0.52/0.81 ( c_List_Oremdups(V_xs,T_a) != V_xs
% 0.52/0.81 | c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_length__map_0,axiom,
% 0.52/0.81 c_Nat_Osize__class_Osize(c_List_Omap(V_f,V_xs,T_b,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_map__replicate_0,axiom,
% 0.52/0.81 c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a) = c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_rev__replicate_0,axiom,
% 0.52/0.81 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_foldr__append_0,axiom,
% 0.52/0.81 c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_filter__replicate_0,axiom,
% 0.52/0.81 ( c_List_Ofilter(V_P,c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a)
% 0.52/0.81 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_map__eq__imp__length__eq_0,axiom,
% 0.52/0.81 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_f,V_ys,T_b,T_a)
% 0.52/0.81 | c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) = c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_conversep__eq_0,axiom,
% 0.52/0.81 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_list__update__append_0,axiom,
% 0.52/0.81 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_list__update__append1_0,axiom,
% 0.52/0.81 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_length__rotate_0,axiom,
% 0.52/0.81 c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_nat__less__le_1,axiom,
% 0.52/0.81 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_less__not__refl_0,axiom,
% 0.52/0.81 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_order__less__le_1,axiom,
% 0.52/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_linorder__neq__iff_1,axiom,
% 0.52/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_order__less__irrefl_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.52/0.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.52/0.81 | V_x = V_y ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.52/0.81 | V_x = V_y
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_nat__neq__iff_0,axiom,
% 0.52/0.81 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.52/0.81 | V_m = V_n ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_nat__less__cases_0,axiom,
% 0.52/0.81 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.52/0.81 | V_m = V_n
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.52/0.81 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.52/0.81 | V_x = V_y ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_linorder__neqE_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.52/0.81 | V_x = V_y ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_append__replicate__commute_0,axiom,
% 0.52/0.81 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_linorder__less__linear_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.52/0.81 | V_x = V_y
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.52/0.81 | V_x = V_y
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_add__strict__mono_0,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_gr0I_0,axiom,
% 0.52/0.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.52/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_neq0__conv_1,axiom,
% 0.52/0.81 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_length__replicate_0,axiom,
% 0.52/0.81 c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 0.52/0.81 c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_conversep__conversep_0,axiom,
% 0.52/0.81 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.52/0.81 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.52/0.81 | V_type2 = V_type2_H ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.52/0.81 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.52/0.81 | V_type1 = V_type1_H ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_add__strict__right__mono_0,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_add__less__cancel__right_1,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_add__less__cancel__right_0,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_add__strict__left__mono_0,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_add__less__cancel__left_1,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_add__less__cancel__left_0,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_length__rev_0,axiom,
% 0.52/0.81 c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_xt1_I9_J_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.52/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_accp_Ocases_0,axiom,
% 0.52/0.81 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 0.52/0.81 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 0.52/0.81 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_order__less__asym_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_accp__downward_0,axiom,
% 0.52/0.81 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.52/0.81 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 0.52/0.81 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_order__less__asym_H_0,axiom,
% 0.52/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_add__neg__neg_0,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.52/0.81
% 0.52/0.81 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.52/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.52/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.52/0.81 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.52/0.81
% 0.52/0.82 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.52/0.82 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_even__less__0__iff_0,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.52/0.82 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_even__less__0__iff_1,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.52/0.82 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_add__pos__pos_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.52/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_pos__add__strict_0,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.52/0.82 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_replicate__empty_1,axiom,
% 0.52/0.82 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_length__0__conv_1,axiom,
% 0.52/0.82 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_empty__replicate_1,axiom,
% 0.52/0.82 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_replicate__empty_0,axiom,
% 0.52/0.82 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.52/0.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_empty__replicate_0,axiom,
% 0.52/0.82 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 0.52/0.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_length__0__conv_0,axiom,
% 0.52/0.82 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.52/0.82 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_replicate__app__Cons__same_0,axiom,
% 0.52/0.82 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.52/0.82 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_filter__replicate_1,axiom,
% 0.52/0.82 ( c_List_Ofilter(V_P,c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Olist_ONil(T_a)
% 0.52/0.82 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_App_0,axiom,
% 0.52/0.82 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.52/0.82 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.52/0.82 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_subst__Var_1,axiom,
% 0.52/0.82 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.52/0.82 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_subst__Var_2,axiom,
% 0.52/0.82 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.52/0.82 | V_i = V_k
% 0.52/0.82 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_subst__lt_0,axiom,
% 0.52/0.82 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_list__app__typeI_0,axiom,
% 0.52/0.82 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 0.52/0.82 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.52/0.82 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_fun__upds__append__drop_0,axiom,
% 0.52/0.82 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
% 0.52/0.82 | c_Map_Omap__upds(V_m,c_List_Oappend(V_xs,V_zs,T_a),V_ys,T_a,T_b) = c_Map_Omap__upds(V_m,V_xs,V_ys,T_a,T_b) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_fun__upds__append2__drop_0,axiom,
% 0.52/0.82 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b))
% 0.52/0.82 | c_Map_Omap__upds(V_m,V_xs,c_List_Oappend(V_ys,V_zs,T_b),T_a,T_b) = c_Map_Omap__upds(V_m,V_xs,V_ys,T_a,T_b) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.52/0.82 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.52/0.82 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.52/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_replicate__append__same_0,axiom,
% 0.52/0.82 c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Cons__eq__filter__iff_5,axiom,
% 0.52/0.82 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.52/0.82 | hBOOL(hAPP(V_P,c_List_Osko__List__XCons__eq__filter__iff__1__3(V_P,V_xa,T_a)))
% 0.52/0.82 | c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xb,T_a),T_a) = c_List_Ofilter(V_P,c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_filter__eq__Cons__iff_5,axiom,
% 0.52/0.82 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.52/0.82 | hBOOL(hAPP(V_P,c_List_Osko__List__Xfilter__eq__Cons__iff__1__3(V_P,V_xa,T_a)))
% 0.52/0.82 | c_List_Ofilter(V_P,c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xb,T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_double__induction__lemma_0,axiom,
% 0.52/0.82 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.52/0.82 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 0.52/0.82 | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_list__update__length_0,axiom,
% 0.52/0.82 c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_var__app__typesE_0,axiom,
% 0.52/0.82 ( c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.52/0.82 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_var__app__types_0,axiom,
% 0.52/0.82 ( V_U = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype)
% 0.52/0.82 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.52/0.82 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.52/0.82 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_concat_Oinduct_1,axiom,
% 0.52/0.82 ( hBOOL(hAPP(V_P,V_list))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(V_P),v_sko__List__Xconcat__Xinduct__2(V_P),t_a)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_take_Oinduct_1,axiom,
% 0.52/0.82 ( hBOOL(hAPP(V_P,V_list))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(V_P),v_sko__List__Xtake__Xinduct__2(V_P),t_a)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_map_Oinduct_1,axiom,
% 0.52/0.82 ( hBOOL(hAPP(V_P,V_list))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(V_P),v_sko__List__Xmap__Xinduct__2(V_P),t_a)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_list_Oinduct_1,axiom,
% 0.52/0.82 ( hBOOL(hAPP(V_P,V_list))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(V_P),v_sko__List__Xlist__Xinduct__2(V_P),t_a)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_dropWhile_Oinduct_1,axiom,
% 0.52/0.82 ( hBOOL(hAPP(V_P,V_list))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(V_P),v_sko__List__XdropWhile__Xinduct__2(V_P),t_a)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_remove1_Oinduct_1,axiom,
% 0.52/0.82 ( hBOOL(hAPP(V_P,V_list))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(V_P),v_sko__List__Xremove1__Xinduct__2(V_P),t_a)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_distinct_Oinduct_1,axiom,
% 0.52/0.82 ( hBOOL(hAPP(V_P,V_list))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(V_P),v_sko__List__Xdistinct__Xinduct__2(V_P),t_a)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_list__app__typeD_1,axiom,
% 0.52/0.82 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.52/0.82 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_list__app__typeE_1,axiom,
% 0.52/0.82 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.52/0.82 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 0.52/0.82 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.52/0.82 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_9,axiom,
% 0.52/0.82 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.52/0.82 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_6,axiom,
% 0.52/0.82 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.52/0.82 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_types__snocE_1,axiom,
% 0.52/0.82 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xtypes__snocE__1__1(V_Ts,V_e,V_t,V_ts))
% 0.52/0.82 | ~ c_Type_Otypings(V_e,c_List_Oappend(V_ts,c_List_Olist_OCons(V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),V_Ts) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_10,axiom,
% 0.52/0.82 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_sko__InductTermi__XIT__Xcases__4(V_a),v_sko__InductTermi__XIT__Xcases__5(V_a),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.52/0.82 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.52/0.82 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_0,axiom,
% 0.52/0.82 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.52/0.82 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_3,axiom,
% 0.52/0.82 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.52/0.82 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_7,axiom,
% 0.52/0.82 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_sko__InductTermi__XIT__Xcases__4(V_a),v_sko__InductTermi__XIT__Xcases__5(V_a),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.52/0.82 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.52/0.82 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_4,axiom,
% 0.52/0.82 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_sko__InductTermi__XIT__Xcases__4(V_a),v_sko__InductTermi__XIT__Xcases__5(V_a),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.52/0.82 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.52/0.82 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_types__snocE_2,axiom,
% 0.52/0.82 ( c_Type_Otyping(V_e,V_t,c_Type_Osko__Type__Xtypes__snocE__1__2(V_Ts,V_e,V_t,V_ts))
% 0.52/0.82 | ~ c_Type_Otypings(V_e,c_List_Oappend(V_ts,c_List_Olist_OCons(V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),V_Ts) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_1,axiom,
% 0.52/0.82 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_sko__InductTermi__XIT__Xcases__4(V_a),v_sko__InductTermi__XIT__Xcases__5(V_a),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.52/0.82 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.52/0.82 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_lem_5,axiom,
% 0.52/0.82 ( ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__4(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.52/0.82 | hBOOL(hAPP(V_P,V_t)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Apps__dB__induct_5,axiom,
% 0.52/0.82 ( hBOOL(hAPP(V_P,V_t))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.52/0.82 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.52/0.82 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))
% 0.52/0.82 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_map__eq__Cons__conv_3,axiom,
% 0.52/0.82 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Cons__eq__map__conv_3,axiom,
% 0.52/0.82 c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_map_Osimps_I2_J_0,axiom,
% 0.52/0.82 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_list_Osimps_I5_J_0,axiom,
% 0.52/0.82 c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,T_b),T_a,T_b) = hAPP(hAPP(V_f2,V_a),V_list) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_remove1_Osimps_I2_J_0,axiom,
% 0.52/0.82 c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.52/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 0.52/0.82 | V_y = V_z ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_add__imp__eq_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.52/0.82 | V_b = V_c ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_add__left__cancel_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.52/0.82 | V_b = V_c ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_add__right__cancel_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 0.52/0.82 | V_b = V_c ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.52/0.82 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.52/0.82 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.52/0.82 ( V_x = V_y
% 0.52/0.82 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.52/0.82 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_sorted__Cons_0,axiom,
% 0.52/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.52/0.82 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 0.52/0.82 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.52/0.82 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H)))
% 0.52/0.82 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.52/0.82 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 0.52/0.82 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_subject__reduction_H_0,axiom,
% 0.52/0.82 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.52/0.82 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.52/0.82 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_subst__lift_0,axiom,
% 0.52/0.82 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_lift__preserves__beta_0,axiom,
% 0.52/0.82 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 0.52/0.82 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_not__Cons__self2_0,axiom,
% 0.52/0.82 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_not__Cons__self_0,axiom,
% 0.52/0.82 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_list__update__code_I2_J_0,axiom,
% 0.52/0.82 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.52/0.82 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_map__update_0,axiom,
% 0.52/0.82 c_List_Omap(V_f,c_List_Olist__update(V_xs,V_k,V_y,T_b),T_b,T_a) = c_List_Olist__update(c_List_Omap(V_f,V_xs,T_b,T_a),V_k,hAPP(V_f,V_y),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_singleton__rev__conv_1,axiom,
% 0.52/0.82 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.52/0.82 ( V_ys = V_xs
% 0.52/0.82 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.52/0.82 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_sorted_Osimps_I2_J_0,axiom,
% 0.52/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.52/0.82 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_rtranclp__idemp_0,axiom,
% 0.52/0.82 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.52/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.52/0.82 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_add__0__left_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.52/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.52/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.52/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_abs_0,axiom,
% 0.52/0.82 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.52/0.82 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_rev__append_0,axiom,
% 0.52/0.82 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_monoid__add_Oadd__0__right_0,axiom,
% 0.52/0.82 ( hAPP(hAPP(V_plus,V_a),V_zero) = V_a
% 0.52/0.82 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_monoid__add_Oadd__0__left_0,axiom,
% 0.52/0.82 ( hAPP(hAPP(V_plus,V_zero),V_a) = V_a
% 0.52/0.82 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_filter__append_0,axiom,
% 0.52/0.82 c_List_Ofilter(V_P,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Ofilter(V_P,V_xs,T_a),c_List_Ofilter(V_P,V_ys,T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_IT_Ocases_2,axiom,
% 0.52/0.82 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.52/0.82 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.52/0.82 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.52/0.82 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.52/0.82 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_map__is__Nil__conv_0,axiom,
% 0.52/0.82 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 0.52/0.82 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_Nil__is__rev__conv_1,axiom,
% 0.52/0.82 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_remdups__eq__nil__right__iff_1,axiom,
% 0.52/0.82 c_List_Olist_ONil(T_a) = c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) ).
% 0.52/0.82
% 0.52/0.82 cnf(cls_self__append__conv2_0,axiom,
% 0.52/0.83 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__self__conv2_0,axiom,
% 0.59/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_self__append__conv_0,axiom,
% 0.59/0.83 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.59/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__self__conv_0,axiom,
% 0.59/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.59/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_remdups__eq__nil__iff_0,axiom,
% 0.59/0.83 ( c_List_Oremdups(V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.59/0.83 | V_x = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rotate__is__Nil__conv_0,axiom,
% 0.59/0.83 ( c_List_Orotate(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Nil__is__rev__conv_0,axiom,
% 0.59/0.83 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.59/0.83 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.59/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.59/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.59/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.59/0.83 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.59/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.59/0.83 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_not__step1__Nil_0,axiom,
% 0.59/0.83 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_not__Nil__step1_0,axiom,
% 0.59/0.83 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_remdups__eq__nil__iff_1,axiom,
% 0.59/0.83 c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Nil__is__map__conv_0,axiom,
% 0.59/0.83 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_self__append__conv2_1,axiom,
% 0.59/0.83 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__Nil_0,axiom,
% 0.59/0.83 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_self__append__conv_1,axiom,
% 0.59/0.83 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.59/0.83 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__Nil2_0,axiom,
% 0.59/0.83 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_listsp_ONil_0,axiom,
% 0.59/0.83 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Osplit_0,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(t_b),t_a,t_b)))
% 0.59/0.83 | hBOOL(hAPP(V_P,V_f1)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_map__is__Nil__conv_1,axiom,
% 0.59/0.83 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__Cons_0,axiom,
% 0.59/0.83 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.59/0.83 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_sorted_Osimps_I3_J_1,axiom,
% 0.59/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.59/0.83 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 0.59/0.83 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 0.59/0.83 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 0.59/0.83 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__singleton__conv_1,axiom,
% 0.59/0.83 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.59/0.83 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.59/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 0.59/0.83 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Cons__eq__filterD_2,axiom,
% 0.59/0.83 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Ofilter(V_P,V_ys,T_a)
% 0.59/0.83 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_add__cancel__21_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.59/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.59/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.59/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.59/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_add__cancel__21_1,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.59/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_remdups__filter_0,axiom,
% 0.59/0.83 c_List_Oremdups(c_List_Ofilter(V_P,V_xs,T_a),T_a) = c_List_Ofilter(V_P,c_List_Oremdups(V_xs,T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_double__eq__0__iff_1,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_filter_Osimps_I2_J_0,axiom,
% 0.59/0.83 ( c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a)
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_singleton__rev__conv_0,axiom,
% 0.59/0.83 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 0.59/0.83 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_substn__subst__n_0,axiom,
% 0.59/0.83 c_Lambda_Osubstn(V_t,V_s,V_n) = c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__step1I_0,axiom,
% 0.59/0.83 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.59/0.83 | c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,V_x,T_a),c_List_Oappend(V_xs,V_x,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__step1I_1,axiom,
% 0.59/0.83 ( c_ListOrder_Ostep1(V_r,c_List_Oappend(V_x,V_vs,T_a),c_List_Oappend(V_x,V_us,T_a),T_a)
% 0.59/0.83 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.59/0.83 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.59/0.83 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.59/0.83 ( c_List_Olistsp(V_A,V_ys,T_a)
% 0.59/0.83 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_subst__preserves__beta_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.59/0.83 ( V_x = V_y
% 0.59/0.83 | V_xs = V_ys
% 0.59/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.59/0.83 | c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_x,T_a),c_List_Olist_OCons(V_xa,V_x,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__map_0,axiom,
% 0.59/0.83 c_List_Orev(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orev(V_xs,T_b),T_b,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__same__eq_0,axiom,
% 0.59/0.83 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.59/0.83 | V_ys = V_zs ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_same__append__eq_0,axiom,
% 0.59/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.59/0.83 | V_ys = V_zs ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.59/0.83 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.59/0.83 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rtranclp__trans_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_filter__eq__ConsD_2,axiom,
% 0.59/0.83 ( c_List_Ofilter(V_P,V_ys,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 0.59/0.83 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_IT_Ocases_8,axiom,
% 0.59/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.59/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.59/0.83 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.59/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rotate__map_0,axiom,
% 0.59/0.83 c_List_Orotate(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orotate(V_n,V_xs,T_b),T_b,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__swap_0,axiom,
% 0.59/0.83 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__swap_1,axiom,
% 0.59/0.83 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__rev__ident_0,axiom,
% 0.59/0.83 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.59/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.59/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.59/0.83 | V_y = V_x
% 0.59/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__singleton__conv_0,axiom,
% 0.59/0.83 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 0.59/0.83 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.59/0.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.59/0.83 | ~ class_Int_Onumber__ring(T_a)
% 0.59/0.83 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.59/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_double__eq__0__iff_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.59/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_r__into__rtranclp_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_foldl__absorb0_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.59/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_listrelp_OCons_0,axiom,
% 0.59/0.83 ( c_List_Olistrelp(V_r,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
% 0.59/0.83 | ~ c_List_Olistrelp(V_r,V_xs,V_ys,T_a)
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.59/0.83 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.59/0.83 | V_dB = V_dB_H ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_remove1_Osimps_I2_J_1,axiom,
% 0.59/0.83 ( c_List_Oremove1(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = c_List_Olist_OCons(V_y,c_List_Oremove1(V_x,V_xs,T_a),T_a)
% 0.59/0.83 | V_x = V_y ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_IT_Ocases_11,axiom,
% 0.59/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.59/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.59/0.83 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB)
% 0.59/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_beta_0,axiom,
% 0.59/0.83 hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.59/0.83 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.59/0.83 | V_xs = V_ys
% 0.59/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_semigroup__add_Oadd__assoc_0,axiom,
% 0.59/0.83 ( hAPP(hAPP(V_plus,hAPP(hAPP(V_plus,V_a),V_b)),V_c) = hAPP(hAPP(V_plus,V_a),hAPP(hAPP(V_plus,V_b),V_c))
% 0.59/0.83 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_map__append_0,axiom,
% 0.59/0.83 c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a) = c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_remove1__filter__not_0,axiom,
% 0.59/0.83 ( c_List_Oremove1(V_x,c_List_Ofilter(V_P,V_xs,T_a),T_a) = c_List_Ofilter(V_P,V_xs,T_a)
% 0.59/0.83 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__is__rev__conv_0,axiom,
% 0.59/0.83 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 0.59/0.83 | V_xs = V_ys ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.59/0.83 ( V_ys = V_xs
% 0.59/0.83 | V_y = V_x
% 0.59/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.59/0.83 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.59/0.83 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 0.59/0.83 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_liftn__0_0,axiom,
% 0.59/0.83 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_semigroup__add__class_Oaxioms_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.59/0.83 | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_substn__subst__0_0,axiom,
% 0.59/0.83 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osplit_2,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.59/0.83 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.59/0.83 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.59/0.83 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Oinject_0,axiom,
% 0.59/0.83 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.59/0.83 | V_a = V_a_H ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Oinject_1,axiom,
% 0.59/0.83 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.59/0.83 | V_list = V_list_H ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_subject__reduction_0,axiom,
% 0.59/0.83 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.59/0.83 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.59/0.83 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.59/0.83 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.59/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.59/0.83 ( c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_x,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.59/0.83 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_sorted__append_0,axiom,
% 0.59/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.59/0.83 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 0.59/0.83 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_sorted__append_1,axiom,
% 0.59/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.59/0.83 | c_List_Olinorder__class_Osorted(V_ys,T_a)
% 0.59/0.83 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list__update__swap_0,axiom,
% 0.59/0.83 ( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a) = c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)
% 0.59/0.83 | V_i = V_i_H ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_sorted__remdups_0,axiom,
% 0.59/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.59/0.83 | c_List_Olinorder__class_Osorted(c_List_Oremdups(V_l,T_a),T_a)
% 0.59/0.83 | ~ c_List_Olinorder__class_Osorted(V_l,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_filter_Osimps_I2_J_1,axiom,
% 0.59/0.83 ( c_List_Ofilter(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Ofilter(V_P,V_xs,T_a)
% 0.59/0.83 | hBOOL(hAPP(V_P,V_x)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__filter_0,axiom,
% 0.59/0.83 c_List_Orev(c_List_Ofilter(V_P,V_xs,T_a),T_a) = c_List_Ofilter(V_P,c_List_Orev(V_xs,T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append1__eq__conv_0,axiom,
% 0.59/0.83 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.59/0.83 | V_xs = V_ys ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append1__eq__conv_1,axiom,
% 0.59/0.83 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.59/0.83 | V_x = V_y ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Osplit_1,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_a,V_list,t_b),t_a,t_b)))
% 0.59/0.83 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_a),V_list))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Osplit__asm_1,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_OCons(V_xa,V_xb,t_b),t_a,t_b)))
% 0.59/0.83 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list__update__overwrite_0,axiom,
% 0.59/0.83 c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__assoc_0,axiom,
% 0.59/0.83 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__eq__appendI_0,axiom,
% 0.59/0.83 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.59/0.83 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.59/0.83 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_sorted__remove1_0,axiom,
% 0.59/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.59/0.83 | c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a,V_xs,T_a),T_a)
% 0.59/0.83 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dropWhile_Oinduct_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,V_list))
% 0.59/0.83 | hBOOL(hAPP(V_P,v_sko__List__XdropWhile__Xinduct__2(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_take_Oinduct_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,V_list))
% 0.59/0.83 | hBOOL(hAPP(V_P,v_sko__List__Xtake__Xinduct__2(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_sorted_Osimps_I1_J_0,axiom,
% 0.59/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.59/0.83 | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_filtermap_Osimps_I1_J_0,axiom,
% 0.59/0.83 c_List_Ofiltermap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_remdups__eq__nil__right__iff_0,axiom,
% 0.59/0.83 ( c_List_Olist_ONil(T_a) != c_List_Oremdups(V_x,T_a)
% 0.59/0.83 | V_x = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_filter_Osimps_I1_J_0,axiom,
% 0.59/0.83 c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list__update__nonempty_1,axiom,
% 0.59/0.83 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list__update__code_I1_J_0,axiom,
% 0.59/0.83 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list__update_Osimps_I1_J_0,axiom,
% 0.59/0.83 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_concat_Oinduct_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,V_list))
% 0.59/0.83 | hBOOL(hAPP(V_P,v_sko__List__Xconcat__Xinduct__2(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_neq__Nil__conv_1,axiom,
% 0.59/0.83 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.59/0.83 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_remove1_Osimps_I1_J_0,axiom,
% 0.59/0.83 c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_distinct_Oinduct_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,V_list))
% 0.59/0.83 | hBOOL(hAPP(V_P,v_sko__List__Xdistinct__Xinduct__2(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_map__upds__Nil2_0,axiom,
% 0.59/0.83 c_Map_Omap__upds(V_m,V_as,c_List_Olist_ONil(T_b),T_a,T_b) = V_m ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_map__upds__Nil1_0,axiom,
% 0.59/0.83 c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b) = V_m ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_remove1_Oinduct_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,V_list))
% 0.59/0.83 | hBOOL(hAPP(V_P,v_sko__List__Xremove1__Xinduct__2(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Osimps_I4_J_0,axiom,
% 0.59/0.83 c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b) = V_f1 ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__is__Nil__conv_0,axiom,
% 0.59/0.83 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rotate__is__Nil__conv_1,axiom,
% 0.59/0.83 c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list_Oinduct_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,V_list))
% 0.59/0.83 | hBOOL(hAPP(V_P,v_sko__List__Xlist__Xinduct__2(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Nil__is__map__conv_1,axiom,
% 0.59/0.83 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.59/0.83 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_listrelp_ONil_0,axiom,
% 0.59/0.83 c_List_Olistrelp(V_r,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_map_Oinduct_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,V_list))
% 0.59/0.83 | hBOOL(hAPP(V_P,v_sko__List__Xmap__Xinduct__2(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_rev__is__Nil__conv_1,axiom,
% 0.59/0.83 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_list__update__nonempty_0,axiom,
% 0.59/0.83 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.59/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_subst__App_0,axiom,
% 0.59/0.83 c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.59/0.83 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a)))
% 0.59/0.83 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osplit_1,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a)))
% 0.59/0.83 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.59/0.83 c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_appR_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_appL_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.59/0.83 c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 0.59/0.83 c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_apps__preserves__betas_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.59/0.83 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_ex__head__tail_0,axiom,
% 0.59/0.83 V_t = c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2(V_t),c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1(V_t),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_semigroup__add_Ofoldl__assoc_0,axiom,
% 0.59/0.83 ( c_List_Ofoldl(V_plus,hAPP(hAPP(V_plus,V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(V_plus,V_x),c_List_Ofoldl(V_plus,V_y,V_zs,T_a,T_a))
% 0.59/0.83 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_foldl__assoc_0,axiom,
% 0.59/0.83 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.59/0.83 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_monoid__add_Ofoldl__absorb0_0,axiom,
% 0.59/0.83 ( hAPP(hAPP(V_plus,V_x),c_List_Ofoldl(V_plus,V_zero,V_zs,T_a,T_a)) = c_List_Ofoldl(V_plus,V_x,V_zs,T_a,T_a)
% 0.59/0.83 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_foldl__Cons_0,axiom,
% 0.59/0.83 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_foldl__append_0,axiom,
% 0.59/0.83 c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_lem_3,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,c_ListApplication_Osko__ListApplication__Xlem__1__3(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(V_P)),c_ListApplication_Osko__ListApplication__Xlem__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.59/0.83 | hBOOL(hAPP(V_P,V_t)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_var__app__typesE_1,axiom,
% 0.59/0.83 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.59/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Apps__dB__induct_3,axiom,
% 0.59/0.83 ( hBOOL(hAPP(V_P,V_t))
% 0.59/0.83 | hBOOL(hAPP(V_P,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(V_P)))
% 0.59/0.83 | ~ hBOOL(hAPP(V_P,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(V_P)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(V_P),tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_var__app__types_1,axiom,
% 0.59/0.83 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.59/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.59/0.83 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.59/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_head__Var__reduction_0,axiom,
% 0.59/0.83 ( c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB)
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Beta_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.59/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.59/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_IT_Ocases_5,axiom,
% 0.59/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.59/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.59/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.59/0.83 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osplit_0,axiom,
% 0.59/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.59/0.83 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_subst__eq_0,axiom,
% 0.59/0.83 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.59/0.83 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.59/0.83 ( hAPP(V_e,V_i) = V_T
% 0.59/0.83 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_typing_OVar_0,axiom,
% 0.59/0.83 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_App__eq__foldl__conv_1,axiom,
% 0.59/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | 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)
% 0.59/0.83 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_lift__IT_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))
% 0.59/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Lambda_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.59/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_head__Var__reduction_1,axiom,
% 0.59/0.83 ( V_v = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_App__eq__foldl__conv_3,axiom,
% 0.59/0.83 ( 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)
% 0.59/0.83 | 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) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_app__last_0,axiom,
% 0.59/0.83 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) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_App__eq__foldl__conv_5,axiom,
% 0.59/0.83 ( 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)
% 0.59/0.83 | 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) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.59/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.59/0.83 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.59/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_r = V_s ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.59/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_rs = V_ss ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_apps__preserves__beta_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.59/0.83 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_subst__Var__IT_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))
% 0.59/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_var__app__type__eq_0,axiom,
% 0.59/0.83 ( V_T = V_U
% 0.59/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.59/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.59/0.83 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.59/0.83 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.59/0.83 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.59/0.83 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_App__eq__foldl__conv_2,axiom,
% 0.59/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_r = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.59/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.59/0.83 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.59/0.83 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_IT_OVar_0,axiom,
% 0.59/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.59/0.83 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.59/0.83 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.59/0.83 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.59/0.83 | V_nat = V_nat_H ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.59/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_m = V_n ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.59/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_rs = V_ss ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.59/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.59/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.59/0.83 | V_dB1 = V_dB1_H ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.59/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.59/0.83 | V_dB2 = V_dB2_H ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.59/0.83 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.59/0.83 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_foldl__Nil_0,axiom,
% 0.59/0.83 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.59/0.83 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.59/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_r = V_s ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.59/0.83 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.59/0.83 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.59/0.83 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_conjecture_0,negated_conjecture,
% 0.59/0.83 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_conjecture_1,negated_conjecture,
% 0.59/0.83 ~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.59/0.83 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.59/0.83 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.59/0.83 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.59/0.83 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.59/0.83 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.59/0.83 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.59/0.83 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.59/0.83 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.59/0.83 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.59/0.83 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.59/0.83 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.59/0.83 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.59/0.83 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.59/0.83 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.59/0.83 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.59/0.83 class_Orderings_Opreorder(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.59/0.83 class_Orderings_Olinorder(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.59/0.83 class_Orderings_Oorder(tc_nat) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.59/0.83 class_Orderings_Opreorder(tc_bool) ).
% 0.59/0.83
% 0.59/0.83 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.59/0.83 class_Orderings_Oorder(tc_bool) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.59/0.83 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.59/0.83
% 0.59/0.83 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.59/0.83 ( V_X = V_Y
% 0.59/0.83 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.59/0.83
% 0.59/0.83 %------------------------------------------------------------------------------
% 0.59/0.83 %-------------------------------------------
% 0.59/0.83 % Proof found
% 0.59/0.83 % SZS status Theorem for theBenchmark
% 0.59/0.83 % SZS output start Proof
% 0.59/0.83 %ClaNum:630(EqnAxiom:210)
% 0.59/0.83 %VarNum:2653(SingletonVarNum:1114)
% 0.59/0.83 %MaxLitNum:4
% 0.59/0.83 %MaxfuncDepth:5
% 0.59/0.83 %SharedTerms:40
% 0.59/0.83 %goalClause: 329 336
% 0.59/0.83 %singleGoalClaCount:2
% 0.59/0.83 [211]P1(a1)
% 0.59/0.83 [212]P19(a1)
% 0.59/0.83 [213]P19(a2)
% 0.59/0.83 [214]P25(a1)
% 0.59/0.83 [215]P25(a2)
% 0.59/0.83 [216]P20(a1)
% 0.59/0.83 [217]P21(a1)
% 0.59/0.83 [218]P22(a1)
% 0.59/0.83 [219]P23(a1)
% 0.59/0.83 [220]P26(a1)
% 0.59/0.83 [221]P2(a1)
% 0.59/0.83 [222]P15(a1)
% 0.59/0.83 [223]P16(a1)
% 0.59/0.83 [224]P27(a1)
% 0.59/0.83 [225]P17(a1)
% 0.59/0.83 [226]P24(a1)
% 0.59/0.83 [336]~P30(f57(a10,f7(a63)))
% 0.59/0.83 [329]P30(f57(a10,f32(a8,f7(a63),f3(a58),a58,a58)))
% 0.59/0.83 [342]~P5(x3421,x3421,a1)
% 0.59/0.83 [346]~P5(x3461,f4(a1),a1)
% 0.59/0.83 [229]E(f34(f3(x2291),x2291),f3(x2291))
% 0.59/0.83 [230]E(f38(f3(x2301),x2301),f3(x2301))
% 0.59/0.83 [231]E(f42(f3(x2311),f41(x2311)),f4(a1))
% 0.59/0.83 [249]E(f48(f49(x2491),x2491,x2491),f49(x2491))
% 0.59/0.83 [313]E(f32(a8,f17(x3131),f18(x3131),a58,a58),x3131)
% 0.59/0.83 [352]~P5(f4(a1),f42(f3(x3521),f41(x3521)),a1)
% 0.59/0.83 [237]P3(x2371,f3(x2372),x2372)
% 0.59/0.83 [254]P8(x2541,f7(x2542),f57(x2541,x2542))
% 0.59/0.83 [279]P4(x2791,f3(x2792),f3(x2792),x2792)
% 0.59/0.83 [335]~E(f11(x3351),f7(x3352))
% 0.59/0.83 [234]E(f38(f38(x2341,x2342),x2342),x2341)
% 0.59/0.83 [235]E(f47(f47(x2351,x2352),x2352),f47(x2351,x2352))
% 0.59/0.83 [236]E(f6(f4(a1),x2361,x2362),x2361)
% 0.59/0.83 [241]E(f15(x2411,f3(x2412),x2412),x2411)
% 0.59/0.83 [242]E(f15(f3(x2421),x2422,x2421),x2422)
% 0.59/0.83 [243]E(f16(f7(x2431),x2432,x2431),x2432)
% 0.59/0.83 [245]E(f39(f4(a1),x2451,x2452),f3(x2452))
% 0.59/0.83 [246]E(f29(x2461,f3(x2462),x2462),f3(x2462))
% 0.59/0.83 [247]E(f43(x2471,f3(x2472),x2472),f3(x2472))
% 0.59/0.83 [248]E(f40(x2481,f3(x2482),x2482),f3(x2482))
% 0.59/0.83 [250]E(f42(f38(x2501,x2502),f41(x2502)),f42(x2501,f41(x2502)))
% 0.59/0.83 [272]E(f16(x2721,f6(f4(a1),x2722,f4(a1)),f4(a1)),f16(x2721,x2722,f4(a1)))
% 0.59/0.83 [255]P30(f57(f57(f49(x2551),x2552),x2552))
% 0.59/0.83 [265]E(f38(f30(x2651,f3(x2652),x2652),x2652),f30(x2651,f3(x2652),x2652))
% 0.59/0.83 [300]P30(f57(f57(a9,f57(f57(a8,f11(x3001)),x3002)),f16(x3001,x3002,f4(a1))))
% 0.59/0.83 [351]~P30(f57(f57(a9,f7(x3511)),x3512))
% 0.59/0.83 [344]~E(f30(x3441,x3442,x3443),x3442)
% 0.59/0.83 [349]~E(f30(x3491,x3492,x3493),f3(x3493))
% 0.59/0.83 [353]~P6(x3531,x3532,f3(x3533),x3533)
% 0.59/0.83 [354]~P6(x3541,f3(x3542),x3543,x3542)
% 0.59/0.83 [253]E(f16(f12(x2531,x2532),x2533,x2532),x2531)
% 0.59/0.83 [256]E(f39(f4(a1),x2561,x2562),f39(f4(a1),x2563,x2562))
% 0.59/0.83 [257]E(f42(f39(x2571,x2572,x2573),f41(x2573)),x2571)
% 0.59/0.83 [258]E(f42(f43(x2581,x2582,x2583),f41(x2583)),f42(x2582,f41(x2583)))
% 0.59/0.83 [259]E(f40(x2591,f30(x2591,x2592,x2593),x2593),x2592)
% 0.59/0.83 [260]E(f48(f48(x2601,x2602,x2603),x2603,x2602),x2601)
% 0.59/0.83 [261]E(f38(f39(x2611,x2612,x2613),x2613),f39(x2611,x2612,x2613))
% 0.59/0.83 [267]E(f29(x2671,f34(x2672,x2673),x2673),f34(f29(x2671,x2672,x2673),x2673))
% 0.59/0.83 [268]E(f29(x2681,f38(x2682,x2683),x2683),f38(f29(x2681,x2682,x2683),x2683))
% 0.59/0.83 [271]E(f15(f38(x2711,x2712),f38(x2713,x2712),x2712),f38(f15(x2713,x2711,x2712),x2712))
% 0.59/0.83 [274]E(f35(x2741,f3(x2742),x2742,x2743),f3(x2743))
% 0.59/0.83 [275]E(f31(x2751,f3(x2752),x2752,x2753),f3(x2753))
% 0.59/0.83 [278]E(f36(f3(x2781),x2782,x2783,x2781),f3(x2781))
% 0.59/0.83 [337]~E(f7(x3371),f57(f57(a8,x3372),x3373))
% 0.59/0.83 [338]~E(f11(x3381),f57(f57(a8,x3382),x3383))
% 0.59/0.83 [339]~E(f57(f57(a8,x3391),x3392),f7(x3393))
% 0.59/0.83 [340]~E(f57(f57(a8,x3401),x3402),f11(x3403))
% 0.59/0.83 [263]P30(f57(f57(f47(x2631,x2632),x2633),x2633))
% 0.59/0.83 [266]E(f57(f57(a8,f12(x2661,x2662)),f12(x2663,x2662)),f12(f57(f57(a8,x2661),x2663),x2662))
% 0.59/0.83 [280]E(f15(f38(x2801,x2802),f30(x2803,f3(x2802),x2802),x2802),f38(f30(x2803,x2801,x2802),x2802))
% 0.59/0.83 [292]E(f15(f39(x2921,x2922,x2923),f30(x2922,f3(x2923),x2923),x2923),f30(x2922,f39(x2921,x2922,x2923),x2923))
% 0.59/0.83 [293]E(f38(f15(f38(x2931,x2932),f30(x2933,f3(x2932),x2932),x2932),x2932),f30(x2933,x2931,x2932))
% 0.59/0.83 [332]E(f32(a8,x3321,f15(x3322,f30(x3323,f3(a58),a58),a58),a58,a58),f57(f57(a8,f32(a8,x3321,x3322,a58,a58)),x3323))
% 0.59/0.83 [286]E(f15(f15(x2861,x2862,x2863),x2864,x2863),f15(x2861,f15(x2862,x2864,x2863),x2863))
% 0.59/0.83 [288]E(f30(x2881,f15(x2882,x2883,x2884),x2884),f15(f30(x2881,x2882,x2884),x2883,x2884))
% 0.59/0.83 [289]E(f36(f30(x2891,x2892,x2893),f4(a1),x2894,x2893),f30(x2894,x2892,x2893))
% 0.59/0.84 [290]E(f15(f29(x2901,x2902,x2903),f29(x2901,x2904,x2903),x2903),f29(x2901,f15(x2902,x2904,x2903),x2903))
% 0.59/0.84 [296]E(f42(f36(x2961,x2962,x2963,x2964),f41(x2964)),f42(x2961,f41(x2964)))
% 0.59/0.84 [297]E(f42(f35(x2971,x2972,x2973,x2974),f41(x2974)),f42(x2972,f41(x2973)))
% 0.59/0.84 [298]E(f15(f39(x2981,x2982,x2983),f39(x2984,x2982,x2983),x2983),f15(f39(x2984,x2982,x2983),f39(x2981,x2982,x2983),x2983))
% 0.59/0.84 [302]E(f38(f35(x3021,x3022,x3023,x3024),x3024),f35(x3021,f38(x3022,x3023),x3023,x3024))
% 0.59/0.84 [308]E(f32(x3081,x3082,f3(x3083),x3084,x3083),x3082)
% 0.59/0.84 [309]E(f44(x3091,x3092,f3(x3093),x3094,x3093),x3091)
% 0.59/0.84 [310]E(f37(x3101,x3102,f3(x3103),x3104,x3103),x3101)
% 0.59/0.84 [311]E(f33(x3111,f3(x3112),x3113,x3112,x3114),x3113)
% 0.59/0.84 [312]E(f44(x3121,f3(x3122),x3123,x3122,x3124),x3121)
% 0.59/0.84 [356]~E(f32(a8,f11(x3561),x3562,a58,a58),f32(a8,f7(x3563),x3564,a58,a58))
% 0.59/0.84 [294]E(f57(f57(a8,f6(x2941,x2942,x2943)),f6(x2941,x2944,x2943)),f6(x2941,f57(f57(a8,x2942),x2944),x2943))
% 0.59/0.84 [295]E(f57(f57(a8,f16(x2951,x2952,x2953)),f16(x2954,x2952,x2953)),f16(f57(f57(a8,x2951),x2954),x2952,x2953))
% 0.59/0.84 [299]E(f30(x2991,f15(f39(x2992,x2991,x2993),x2994,x2993),x2993),f15(f39(x2992,x2991,x2993),f30(x2991,x2994,x2993),x2993))
% 0.59/0.84 [355]~E(f57(f57(a8,f11(x3551)),x3552),f32(a8,f7(x3553),x3554,a58,a58))
% 0.59/0.84 [291]E(f35(x2911,f39(x2912,x2913,x2914),x2914,x2915),f39(x2912,f57(x2911,x2913),x2915))
% 0.59/0.84 [303]E(f43(x3031,f35(x3032,x3033,x3034,x3035),x3035),f35(x3032,f43(x3031,x3033,x3034),x3034,x3035))
% 0.59/0.84 [305]E(f35(x3051,f30(x3052,x3053,x3054),x3054,x3055),f30(f57(x3051,x3052),f35(x3051,x3053,x3054,x3055),x3055))
% 0.59/0.84 [306]E(f30(f57(x3061,x3062),f35(x3061,x3063,x3064,x3065),x3065),f35(x3061,f30(x3062,x3063,x3064),x3064,x3065))
% 0.59/0.84 [307]E(f36(f36(x3071,x3072,x3073,x3074),x3072,x3075,x3074),f36(x3071,x3072,x3075,x3074))
% 0.59/0.84 [317]E(f13(x3171,x3172,x3173,f7(x3174),x3175),f57(x3171,x3174))
% 0.59/0.84 [318]E(f13(x3181,x3182,x3183,f11(x3184),x3185),f57(x3183,x3184))
% 0.59/0.84 [319]E(f14(x3191,x3192,x3193,f7(x3194),x3195),f57(x3191,x3194))
% 0.59/0.84 [324]E(f15(f35(x3241,x3242,x3243,x3244),f35(x3241,x3245,x3243,x3244),x3244),f35(x3241,f15(x3242,x3245,x3243),x3243,x3244))
% 0.59/0.84 [327]E(f57(f57(x3271,x3272),f14(x3273,x3274,x3271,x3272,x3275)),f14(x3273,x3274,x3271,f11(x3272),x3275))
% 0.59/0.84 [301]E(f36(f15(x3011,f30(x3012,x3013,x3014),x3014),f42(x3011,f41(x3014)),x3015,x3014),f15(x3011,f30(x3015,x3013,x3014),x3014))
% 0.59/0.84 [323]E(f37(x3231,x3232,f30(x3233,x3234,x3235),x3236,x3235),f57(f57(x3232,x3233),x3234))
% 0.59/0.84 [325]E(f35(x3251,f36(x3252,x3253,x3254,x3255),x3255,x3256),f36(f35(x3251,x3252,x3255,x3256),x3253,f57(x3251,x3254),x3256))
% 0.59/0.84 [328]E(f33(x3281,f30(x3282,x3283,x3284),x3285,x3284,x3286),f57(f57(x3281,x3282),f33(x3281,x3283,x3285,x3284,x3286)))
% 0.59/0.84 [330]E(f32(x3301,f32(x3301,x3302,x3303,x3304,x3305),x3306,x3304,x3305),f32(x3301,x3302,f15(x3303,x3306,x3305),x3304,x3305))
% 0.59/0.84 [331]E(f33(x3311,x3312,f33(x3311,x3313,x3314,x3315,x3316),x3315,x3316),f33(x3311,f15(x3312,x3313,x3315),x3314,x3315,x3316))
% 0.59/0.84 [322]E(f13(x3221,x3222,x3223,f57(f57(a8,x3224),x3225),x3226),f57(f57(x3222,x3224),x3225))
% 0.59/0.84 [326]E(f32(x3261,x3262,f30(x3263,x3264,x3265),x3266,x3265),f32(x3261,f57(f57(x3261,x3262),x3263),x3264,x3266,x3265))
% 0.59/0.84 [333]E(f57(f57(f57(f57(x3331,x3332),x3333),f14(x3334,x3331,x3335,x3332,x3336)),f14(x3334,x3331,x3335,x3333,x3336)),f14(x3334,x3331,x3335,f57(f57(a8,x3332),x3333),x3336))
% 0.59/0.84 [359]~P20(x3591)+P7(f3(x3591),x3591)
% 0.59/0.84 [360]~P24(x3601)+P9(f5(x3601),x3601)
% 0.59/0.84 [369]E(x3691,f4(a1))+P5(f4(a1),x3691,a1)
% 0.59/0.84 [451]P12(f48(a9,a58,a58),x4511,a58)+~P30(f57(a10,x4511))
% 0.59/0.84 [466]~P12(f48(a9,a58,a58),x4661,a58)+P30(f57(a10,x4661))
% 0.59/0.84 [379]~P18(x3791)+E(f57(f57(f5(x3791),f4(x3791)),f4(x3791)),f4(x3791))
% 0.59/0.84 [380]~P30(f57(a10,x3801))+P30(f57(a10,f11(x3801)))
% 0.59/0.84 [385]~P5(x3852,x3852,x3851)+~P19(x3851)
% 0.59/0.84 [386]~P5(x3862,x3862,x3861)+~P25(x3861)
% 0.59/0.84 [387]~P5(x3872,x3872,x3871)+~P20(x3871)
% 0.59/0.84 [357]E(x3571,x3572)+~E(f7(x3571),f7(x3572))
% 0.59/0.84 [358]E(x3581,x3582)+~E(f11(x3581),f11(x3582))
% 0.59/0.84 [363]~E(f34(x3631,x3632),f3(x3632))+E(x3631,f3(x3632))
% 0.59/0.84 [364]~E(f38(x3641,x3642),f3(x3642))+E(x3641,f3(x3642))
% 0.59/0.84 [365]~P19(x3652)+P19(f62(x3651,x3652))
% 0.59/0.84 [366]~P25(x3662)+P25(f62(x3661,x3662))
% 0.59/0.84 [367]E(x3671,f3(x3672))+~E(f42(x3671,f41(x3672)),f4(a1))
% 0.59/0.84 [370]~P1(x3701)+E(f57(f57(f5(x3701),x3702),f4(x3701)),x3702)
% 0.59/0.84 [371]~P27(x3711)+E(f57(f57(f5(x3711),x3712),f4(x3711)),x3712)
% 0.59/0.84 [372]~P17(x3721)+E(f57(f57(f5(x3721),x3722),f4(x3721)),x3722)
% 0.59/0.84 [395]E(x3951,f3(x3952))+P5(f4(a1),f42(x3951,f41(x3952)),a1)
% 0.59/0.84 [398]~P5(x3981,x3982,a1)+E(f12(f7(x3981),x3982),f7(x3981))
% 0.59/0.84 [415]E(f34(x4151,x4152),x4151)+~E(f42(f34(x4151,x4152),f41(x4152)),f42(x4151,f41(x4152)))
% 0.59/0.84 [417]~P30(f57(a10,x4171))+P30(f57(a10,f12(x4171,x4172)))
% 0.59/0.84 [427]~P20(x4272)+P7(f30(x4271,f3(x4272),x4272),x4272)
% 0.59/0.84 [458]~P30(f57(f57(a9,x4581),x4582))+P30(f57(f57(a9,f11(x4581)),f11(x4582)))
% 0.59/0.84 [577]~P1(x5771)+E(f33(f5(x5771),x5772,f4(x5771),x5771,x5771),f32(f5(x5771),f4(x5771),x5772,x5771,x5771))
% 0.59/0.84 [374]~P1(x3741)+E(f57(f57(f5(x3741),f4(x3741)),x3742),x3742)
% 0.59/0.84 [376]~P27(x3761)+E(f57(f57(f5(x3761),f4(x3761)),x3762),x3762)
% 0.59/0.84 [377]~P17(x3771)+E(f57(f57(f5(x3771),f4(x3771)),x3772),x3772)
% 0.59/0.84 [510]P30(f57(f57(f47(a9,a58),f11(x5101)),f11(x5102)))+~P30(f57(f57(f47(a9,a58),x5101),x5102))
% 0.59/0.84 [598]~P3(a10,x5982,a58)+P30(f57(a10,f32(a8,f7(x5981),x5982,a58,a58)))
% 0.59/0.84 [368]E(x3681,x3682)+~E(f38(x3681,x3683),f38(x3682,x3683))
% 0.59/0.84 [383]~E(f15(x3833,x3831,x3832),x3833)+E(x3831,f3(x3832))
% 0.59/0.84 [384]~E(f15(x3841,x3843,x3842),x3843)+E(x3841,f3(x3842))
% 0.59/0.84 [389]~E(f39(x3891,x3892,x3893),f3(x3893))+E(x3891,f4(a1))
% 0.59/0.84 [392]~E(f15(x3923,x3921,x3922),f3(x3922))+E(x3921,f3(x3922))
% 0.59/0.84 [393]~E(f43(x3933,x3931,x3932),f3(x3932))+E(x3931,f3(x3932))
% 0.59/0.84 [394]~E(f15(x3941,x3943,x3942),f3(x3942))+E(x3941,f3(x3942))
% 0.59/0.84 [401]~P8(x4011,f7(x4012),x4013)+E(f57(x4011,x4012),x4013)
% 0.59/0.84 [569]~E(f7(x5692),f32(a8,x5693,x5691,a58,a58))+E(x5691,f3(a58))
% 0.59/0.84 [570]~E(f11(x5702),f32(a8,x5703,x5701,a58,a58))+E(x5701,f3(a58))
% 0.59/0.84 [571]~E(f32(a8,x5712,x5711,a58,a58),f11(x5713))+E(x5711,f3(a58))
% 0.59/0.84 [572]E(x5721,f11(x5722))+~E(f32(a8,x5721,x5723,a58,a58),f11(x5722))
% 0.59/0.84 [573]E(f7(x5731),x5732)+~E(f7(x5731),f32(a8,x5732,x5733,a58,a58))
% 0.59/0.84 [574]E(f11(x5741),x5742)+~E(f11(x5741),f32(a8,x5742,x5743,a58,a58))
% 0.59/0.84 [589]E(x5891,x5892)+~E(f32(a8,x5891,x5893,a58,a58),f32(a8,x5892,x5893,a58,a58))
% 0.59/0.84 [428]~P5(x4282,x4283,a1)+E(f6(x4281,f7(x4282),x4283),f7(x4282))
% 0.59/0.84 [429]~P5(x4291,x4293,a1)+E(f16(f7(x4291),x4292,x4293),f7(x4291))
% 0.59/0.84 [442]~E(f38(x4421,x4423),f30(x4422,f3(x4423),x4423))+E(x4421,f30(x4422,f3(x4423),x4423))
% 0.59/0.84 [443]~E(f30(x4432,f3(x4433),x4433),f38(x4431,x4433))+E(x4431,f30(x4432,f3(x4433),x4433))
% 0.59/0.84 [488]~P30(f57(f57(a9,x4881),x4883))+P30(f57(f57(a9,f12(x4881,x4882)),f12(x4883,x4882)))
% 0.59/0.84 [575]E(f57(f57(a8,x5751),x5752),x5753)+~E(f57(f57(a8,x5751),x5752),f32(a8,x5753,f3(a58),a58,a58))
% 0.59/0.84 [576]~P2(x5761)+E(f33(f5(x5761),x5762,x5763,x5761,x5761),f32(f5(x5761),x5763,x5762,x5761,x5761))
% 0.59/0.84 [622]~P30(f57(f57(a9,x6221),x6223))+P30(f57(f57(a9,f32(a8,x6221,x6222,a58,a58)),f32(a8,x6223,x6222,a58,a58)))
% 0.59/0.84 [624]~P6(a9,x6242,x6243,a58)+P30(f57(f57(a9,f32(a8,x6241,x6242,a58,a58)),f32(a8,x6241,x6243,a58,a58)))
% 0.59/0.84 [403]~P27(x4031)+E(f57(f57(f5(x4031),x4032),x4033),f57(f57(f5(x4031),x4033),x4032))
% 0.59/0.84 [404]~P17(x4041)+E(f57(f57(f5(x4041),x4042),x4043),f57(f57(f5(x4041),x4043),x4042))
% 0.59/0.84 [432]E(x4321,x4322)+~P30(f57(f57(f49(x4323),x4321),x4322))
% 0.59/0.84 [474]~P30(f57(a10,x4741))+P30(f57(a10,f16(x4741,f7(x4742),x4743)))
% 0.59/0.84 [523]P30(f57(f57(f47(a9,a58),f12(x5231,x5232)),f12(x5233,x5232)))+~P30(f57(f57(f47(a9,a58),x5231),x5233))
% 0.59/0.84 [527]~P30(f57(f57(a9,x5271),x5273))+P30(f57(f57(a9,f57(f57(a8,x5271),x5272)),f57(f57(a8,x5273),x5272)))
% 0.59/0.84 [528]~P30(f57(f57(a9,x5282),x5283))+P30(f57(f57(a9,f57(f57(a8,x5281),x5282)),f57(f57(a8,x5281),x5283)))
% 0.59/0.84 [540]~P30(f57(f57(f47(a9,a58),x5401),x5403))+P30(f57(f57(f47(a9,a58),f57(f57(a8,x5401),x5402)),f57(f57(a8,x5403),x5402)))
% 0.59/0.84 [541]~P30(f57(f57(f47(a9,a58),x5412),x5413))+P30(f57(f57(f47(a9,a58),f57(f57(a8,x5411),x5412)),f57(f57(a8,x5411),x5413)))
% 0.59/0.84 [585]~P1(x5851)+E(f57(f57(f5(x5851),x5852),f33(f5(x5851),x5853,f4(x5851),x5851,x5851)),f32(f5(x5851),x5852,x5853,x5851,x5851))
% 0.59/0.84 [586]~P1(x5861)+E(f57(f57(f5(x5861),x5862),f32(f5(x5861),f4(x5861),x5863,x5861,x5861)),f32(f5(x5861),x5862,x5863,x5861,x5861))
% 0.59/0.84 [609]P30(f57(x6091,x6092))+~P30(f57(x6091,f37(x6092,x6093,f3(a60),a59,a60)))
% 0.59/0.84 [623]P30(f57(f57(f47(a9,a58),f32(a8,x6231,x6232,a58,a58)),f32(a8,x6233,x6232,a58,a58)))+~P30(f57(f57(f47(a9,a58),x6231),x6233))
% 0.59/0.84 [583]~E(f32(a8,f57(f57(a8,x5831),x5832),x5833,a58,a58),x5831)+E(f32(a8,f57(f57(a8,x5831),x5832),f15(x5833,f30(x5832,f3(a58),a58),a58),a58,a58),f57(f57(a8,x5831),x5832))
% 0.59/0.84 [627]P6(a9,x6271,f28(x6272,x6271,x6273),a58)+~P30(f57(f57(a9,f32(a8,f7(x6272),x6271,a58,a58)),x6273))
% 0.59/0.84 [629]E(f32(a8,f7(x6291),f28(x6291,x6292,x6293),a58,a58),x6293)+~P30(f57(f57(a9,f32(a8,f7(x6291),x6292,a58,a58)),x6293))
% 0.59/0.84 [434]E(x4341,x4342)+~E(f15(x4343,x4341,x4344),f15(x4343,x4342,x4344))
% 0.59/0.84 [436]E(x4361,x4362)+~E(f15(x4361,x4363,x4364),f15(x4362,x4363,x4364))
% 0.59/0.84 [475]P3(x4751,x4752,x4753)+~P3(x4751,f15(x4754,x4752,x4753),x4753)
% 0.59/0.84 [476]P3(x4761,x4762,x4763)+~P3(x4761,f15(x4762,x4764,x4763),x4763)
% 0.59/0.84 [499]~E(f35(x4993,x4991,x4992,x4994),f3(x4994))+E(x4991,f3(x4992))
% 0.59/0.84 [500]~E(f36(x5001,x5003,x5004,x5002),f3(x5002))+E(x5001,f3(x5002))
% 0.59/0.84 [595]P13(x5951,x5952,f53(x5953,x5951,x5954,x5952))+~P8(x5951,f32(a8,x5954,x5952,a58,a58),x5953)
% 0.59/0.84 [596]P13(x5961,x5962,f54(x5963,x5961,x5964,x5962))+~P8(x5961,f32(a8,x5964,x5962,a58,a58),x5963)
% 0.59/0.84 [406]E(x4061,x4062)+~E(f57(f57(a50,x4063),x4061),f57(f57(a50,x4064),x4062))
% 0.59/0.84 [407]E(x4071,x4072)+~E(f57(f57(a8,x4073),x4071),f57(f57(a8,x4074),x4072))
% 0.59/0.84 [408]E(x4081,x4082)+~E(f57(f57(a50,x4081),x4083),f57(f57(a50,x4082),x4084))
% 0.59/0.84 [409]E(x4091,x4092)+~E(f57(f57(a8,x4091),x4093),f57(f57(a8,x4092),x4094))
% 0.59/0.84 [418]~P10(x4182,x4181,x4184)+E(f57(f57(x4181,x4182),x4183),x4183)
% 0.59/0.84 [419]~P10(x4193,x4191,x4194)+E(f57(f57(x4191,x4192),x4193),x4192)
% 0.59/0.84 [452]P30(f57(x4521,x4523))+E(f29(x4521,f39(x4522,x4523,x4524),x4524),f3(x4524))
% 0.59/0.84 [462]P30(f57(x4621,x4622))+E(f29(x4621,f30(x4622,x4623,x4624),x4624),f29(x4621,x4623,x4624))
% 0.59/0.84 [463]P30(f57(x4632,x4631))+E(f40(x4631,f29(x4632,x4633,x4634),x4634),f29(x4632,x4633,x4634))
% 0.59/0.84 [465]~P30(f57(x4651,x4653))+E(f29(x4651,f39(x4652,x4653,x4654),x4654),f39(x4652,x4653,x4654))
% 0.59/0.84 [484]E(x4841,x4842)+E(f30(x4842,f40(x4841,x4843,x4844),x4844),f40(x4841,f30(x4842,x4843,x4844),x4844))
% 0.59/0.84 [495]~P30(f57(x4952,x4951))+E(f30(x4951,f29(x4952,x4953,x4954),x4954),f29(x4952,f30(x4951,x4953,x4954),x4954))
% 0.59/0.84 [539]~P30(f57(f57(a9,x5391),x5394))+P30(f57(f57(a9,f16(x5391,x5392,x5393)),f16(x5394,x5392,x5393)))
% 0.59/0.84 [547]P30(f57(f57(f47(a9,a58),f16(x5471,x5472,x5473)),f16(x5471,x5474,x5473)))+~P30(f57(f57(a9,x5472),x5474))
% 0.59/0.84 [591]E(x5911,x5912)+~E(f32(a8,f7(x5913),x5911,a58,a58),f32(a8,f7(x5914),x5912,a58,a58))
% 0.59/0.84 [592]E(x5921,x5922)+~E(f32(a8,f11(x5923),x5921,a58,a58),f32(a8,f11(x5924),x5922,a58,a58))
% 0.59/0.84 [593]E(x5931,x5932)+~E(f32(a8,f7(x5931),x5933,a58,a58),f32(a8,f7(x5932),x5934,a58,a58))
% 0.59/0.84 [594]E(x5941,x5942)+~E(f32(a8,f11(x5941),x5943,a58,a58),f32(a8,f11(x5942),x5944,a58,a58))
% 0.59/0.84 [597]P13(x5971,x5972,f55(x5973,x5971,x5974,x5972))+~P8(x5971,f32(a8,f7(x5974),x5972,a58,a58),x5973)
% 0.59/0.84 [605]~P8(x6051,f32(a8,x6052,x6054,a58,a58),x6053)+P8(x6051,x6052,f33(a50,f53(x6053,x6051,x6052,x6054),x6053,a61,a61))
% 0.59/0.84 [606]~P8(x6061,f32(a8,x6062,x6064,a58,a58),x6063)+P8(x6061,x6062,f33(a50,f54(x6063,x6061,x6062,x6064),x6063,a61,a61))
% 0.59/0.84 [607]~P8(x6071,f32(a8,f7(x6072),x6074,a58,a58),x6073)+P8(x6071,f7(x6072),f33(a50,f55(x6073,x6071,x6072,x6074),x6073,a61,a61))
% 0.59/0.84 [473]~E(f38(x4731,x4733),f30(x4734,x4732,x4733))+E(x4731,f15(f38(x4732,x4733),f30(x4734,f3(x4733),x4733),x4733))
% 0.59/0.84 [477]~P30(f57(f57(x4771,x4773),x4774))+P30(f57(f57(f47(x4771,x4772),x4773),x4774))
% 0.59/0.84 [553]P30(f57(f57(f47(a9,a58),f16(x5531,x5532,x5533)),f16(x5534,x5532,x5533)))+~P30(f57(f57(f47(a9,a58),x5531),x5534))
% 0.59/0.84 [554]P30(f57(f57(f47(a9,a58),f16(x5541,x5542,x5543)),f16(x5541,x5544,x5543)))+~P30(f57(f57(f47(a9,a58),x5542),x5544))
% 0.59/0.84 [556]P8(x5561,x5562,f51(x5563,x5561,x5562,x5564))+~P13(x5561,f15(x5564,f30(x5562,f3(a58),a58),a58),x5563)
% 0.59/0.84 [557]P13(x5571,x5572,f52(x5573,x5571,x5574,x5572))+~P13(x5571,f15(x5572,f30(x5574,f3(a58),a58),a58),x5573)
% 0.59/0.84 [478]~P27(x4781)+E(f57(f57(f5(x4781),x4782),f57(f57(f5(x4781),x4783),x4784)),f57(f57(f5(x4781),x4783),f57(f57(f5(x4781),x4782),x4784)))
% 0.59/0.84 [479]~P17(x4791)+E(f57(f57(f5(x4791),x4792),f57(f57(f5(x4791),x4793),x4794)),f57(f57(f5(x4791),x4793),f57(f57(f5(x4791),x4792),x4794)))
% 0.59/0.84 [480]~P14(x4801)+E(f57(f57(f5(x4801),x4802),f57(f57(f5(x4801),x4803),x4804)),f57(f57(f5(x4801),x4803),f57(f57(f5(x4801),x4802),x4804)))
% 0.59/0.84 [559]~P30(f57(f57(f47(x5591,x5592),x5594),x5593))+P30(f57(f57(f47(f48(x5591,x5592,x5592),x5592),x5593),x5594))
% 0.59/0.84 [568]P30(f57(f57(f47(x5681,x5682),x5683),x5684))+~P30(f57(f57(f47(f48(x5681,x5682,x5682),x5682),x5684),x5683))
% 0.59/0.84 [590]~P24(x5901)+E(f32(f5(x5901),f57(f57(f5(x5901),x5902),x5903),x5904,x5901,x5901),f57(f57(f5(x5901),x5902),f32(f5(x5901),x5903,x5904,x5901,x5901)))
% 0.59/0.84 [504]~P2(x5041)+E(f57(f57(f5(x5041),f57(f57(f5(x5041),x5042),x5043)),x5044),f57(f57(f5(x5041),x5042),f57(f57(f5(x5041),x5043),x5044)))
% 0.59/0.84 [505]~P27(x5051)+E(f57(f57(f5(x5051),f57(f57(f5(x5051),x5052),x5053)),x5054),f57(f57(f5(x5051),x5052),f57(f57(f5(x5051),x5053),x5054)))
% 0.59/0.84 [506]~P17(x5061)+E(f57(f57(f5(x5061),f57(f57(f5(x5061),x5062),x5063)),x5064),f57(f57(f5(x5061),x5062),f57(f57(f5(x5061),x5063),x5064)))
% 0.59/0.84 [513]~P27(x5131)+E(f57(f57(f5(x5131),f57(f57(f5(x5131),x5132),x5133)),x5134),f57(f57(f5(x5131),f57(f57(f5(x5131),x5132),x5134)),x5133))
% 0.59/0.84 [433]E(x4331,x4332)+~E(f30(x4333,x4331,x4334),f30(x4335,x4332,x4334))
% 0.59/0.84 [435]E(x4351,x4352)+~E(f39(x4351,x4353,x4354),f39(x4352,x4355,x4354))
% 0.59/0.84 [437]E(x4371,x4372)+~E(f30(x4371,x4373,x4374),f30(x4372,x4375,x4374))
% 0.59/0.84 [454]~E(f30(x4542,x4543,x4544),f29(x4541,x4545,x4544))+P30(f57(x4541,x4542))
% 0.59/0.84 [542]~P6(x5421,x5422,x5425,x5424)+P6(x5421,f15(x5422,x5423,x5424),f15(x5425,x5423,x5424),x5424)
% 0.59/0.84 [543]~P6(x5431,x5433,x5435,x5434)+P6(x5431,f15(x5432,x5433,x5434),f15(x5432,x5435,x5434),x5434)
% 0.59/0.84 [544]~P6(x5441,x5443,x5445,x5444)+P6(x5441,f30(x5442,x5443,x5444),f30(x5442,x5445,x5444),x5444)
% 0.59/0.84 [524]P6(x5241,f30(x5242,x5243,x5244),f30(x5245,x5243,x5244),x5244)+~P30(f57(f57(x5241,x5242),x5245))
% 0.59/0.84 [536]~E(f35(x5364,x5361,x5362,x5365),f35(x5364,x5363,x5362,x5365))+E(f42(x5361,f41(x5362)),f42(x5363,f41(x5362)))
% 0.59/0.84 [551]~P5(x5514,f42(x5511,f41(x5513)),a1)+E(f36(f15(x5511,x5512,x5513),x5514,x5515,x5513),f15(f36(x5511,x5514,x5515,x5513),x5512,x5513))
% 0.59/0.84 [587]~P10(x5873,x5871,x5875)+E(f57(f57(x5871,x5872),f32(x5871,x5873,x5874,x5875,x5875)),f32(x5871,x5872,x5874,x5875,x5875))
% 0.59/0.84 [521]E(x5211,x5212)+~E(f15(x5213,f30(x5211,f3(x5214),x5214),x5214),f15(x5215,f30(x5212,f3(x5214),x5214),x5214))
% 0.59/0.84 [522]E(x5221,x5222)+~E(f15(x5221,f30(x5223,f3(x5224),x5224),x5224),f15(x5222,f30(x5225,f3(x5224),x5224),x5224))
% 0.59/0.84 [530]~P30(f57(f57(x5301,x5305),x5304))+P30(f57(f57(f48(x5301,x5302,x5303),x5304),x5305))
% 0.59/0.84 [546]P30(f57(f57(x5461,x5462),x5463))+~P30(f57(f57(f48(x5461,x5464,x5465),x5463),x5462))
% 0.59/0.84 [588]~P9(x5881,x5885)+E(f32(x5881,f57(f57(x5881,x5882),x5883),x5884,x5885,x5885),f57(f57(x5881,x5882),f32(x5881,x5883,x5884,x5885,x5885)))
% 0.59/0.84 [611]P30(f57(x6111,f57(x6112,x6113)))+~P30(f57(x6111,f13(x6114,x6115,x6112,f11(x6113),a59)))
% 0.59/0.84 [613]P30(f57(x6131,f57(x6132,x6133)))+~P30(f57(x6131,f13(x6132,x6134,x6135,f7(x6133),a59)))
% 0.59/0.84 [620]P30(f57(x6201,f57(f57(x6202,x6203),x6204)))+~P30(f57(x6201,f37(x6205,x6202,f30(x6203,x6204,a60),a59,a60)))
% 0.59/0.84 [486]~P9(x4861,x4865)+E(f57(f57(x4861,f57(f57(x4861,x4862),x4863)),x4864),f57(f57(x4861,x4862),f57(f57(x4861,x4863),x4864)))
% 0.59/0.84 [532]~P27(x5321)+E(f57(f57(f5(x5321),f57(f57(f5(x5321),x5322),x5323)),f57(f57(f5(x5321),x5324),x5325)),f57(f57(f5(x5321),f57(f57(f5(x5321),x5322),x5324)),f57(f57(f5(x5321),x5323),x5325)))
% 0.59/0.84 [563]E(x5631,x5632)+E(f36(f36(x5633,x5631,x5634,x5635),x5632,x5636,x5635),f36(f36(x5633,x5632,x5636,x5635),x5631,x5634,x5635))
% 0.59/0.84 [578]~E(f42(x5782,f41(x5786)),f42(x5783,f41(x5785)))+E(f44(x5781,x5782,f15(x5783,x5784,x5785),x5786,x5785),f44(x5781,x5782,x5783,x5786,x5785))
% 0.59/0.84 [579]~E(f42(x5792,f41(x5794)),f42(x5795,f41(x5796)))+E(f44(x5791,f15(x5792,x5793,x5794),x5795,x5794,x5796),f44(x5791,x5792,x5795,x5794,x5796))
% 0.59/0.84 [618]P30(f57(x6181,f57(f57(x6182,x6183),x6184)))+~P30(f57(x6181,f13(x6185,x6182,x6186,f57(f57(a8,x6183),x6184),a59)))
% 0.59/0.84 [400]E(x4001,x4002)+P5(x4002,x4001,a1)+P5(x4001,x4002,a1)
% 0.59/0.84 [373]~P20(x3732)+~P7(x3731,x3732)+P7(f34(x3731,x3732),x3732)
% 0.59/0.84 [378]~P28(x3781)+~P11(x3781)+E(f57(f57(f5(x3781),x3782),f4(x3781)),x3782)
% 0.59/0.84 [420]P30(f57(x4201,x4202))+P30(f57(x4201,f64(x4201)))+~P30(f57(x4201,f3(a59)))
% 0.59/0.84 [421]P30(f57(x4211,x4212))+P30(f57(x4211,f72(x4211)))+~P30(f57(x4211,f3(a59)))
% 0.59/0.84 [422]P30(f57(x4221,x4222))+P30(f57(x4221,f73(x4221)))+~P30(f57(x4221,f3(a59)))
% 0.59/0.84 [423]P30(f57(x4231,x4232))+P30(f57(x4231,f74(x4231)))+~P30(f57(x4231,f3(a59)))
% 0.59/0.84 [424]P30(f57(x4241,x4242))+P30(f57(x4241,f75(x4241)))+~P30(f57(x4241,f3(a59)))
% 0.59/0.84 [425]P30(f57(x4251,x4252))+P30(f57(x4251,f81(x4251)))+~P30(f57(x4251,f3(a59)))
% 0.59/0.84 [426]P30(f57(x4261,x4262))+P30(f57(x4261,f76(x4261)))+~P30(f57(x4261,f3(a59)))
% 0.59/0.84 [396]~P18(x3962)+E(x3961,f4(x3962))+~E(f57(f57(f5(x3962),x3961),x3961),f4(x3962))
% 0.59/0.84 [467]~P18(x4671)+~P5(f4(x4671),x4672,x4671)+P5(f4(x4671),f57(f57(f5(x4671),x4672),x4672),x4671)
% 0.59/0.84 [468]~P29(x4681)+~P5(x4682,f4(x4681),x4681)+P5(f57(f57(f5(x4681),x4682),x4682),f4(x4681),x4681)
% 0.59/0.84 [469]~P18(x4691)+~P5(x4692,f4(x4691),x4691)+P5(f57(f57(f5(x4691),x4692),x4692),f4(x4691),x4691)
% 0.59/0.84 [481]~P29(x4812)+P5(x4811,f4(x4812),x4812)+~P5(f57(f57(f5(x4812),x4811),x4811),f4(x4812),x4812)
% 0.59/0.84 [482]~P18(x4822)+P5(x4821,f4(x4822),x4822)+~P5(f57(f57(f5(x4822),x4821),x4821),f4(x4822),x4822)
% 0.59/0.84 [483]~P18(x4831)+P5(f4(x4831),x4832,x4831)+~P5(f4(x4831),f57(f57(f5(x4831),x4832),x4832),x4831)
% 0.59/0.84 [514]P30(f57(x5141,x5142))+~P30(f57(x5141,f3(a59)))+~P30(f57(x5141,f30(f70(x5141),f64(x5141),a59)))
% 0.59/0.84 [515]P30(f57(x5151,x5152))+~P30(f57(x5151,f3(a59)))+~P30(f57(x5151,f30(f83(x5151),f72(x5151),a59)))
% 0.59/0.84 [516]P30(f57(x5161,x5162))+~P30(f57(x5161,f3(a59)))+~P30(f57(x5161,f30(f80(x5161),f73(x5161),a59)))
% 0.59/0.84 [517]P30(f57(x5171,x5172))+~P30(f57(x5171,f3(a59)))+~P30(f57(x5171,f30(f79(x5171),f74(x5171),a59)))
% 0.59/0.84 [518]P30(f57(x5181,x5182))+~P30(f57(x5181,f3(a59)))+~P30(f57(x5181,f30(f78(x5181),f75(x5181),a59)))
% 0.59/0.84 [519]P30(f57(x5191,x5192))+~P30(f57(x5191,f3(a59)))+~P30(f57(x5191,f30(f82(x5191),f81(x5191),a59)))
% 0.59/0.84 [520]P30(f57(x5201,x5202))+~P30(f57(x5201,f3(a59)))+~P30(f57(x5201,f30(f77(x5201),f76(x5201),a59)))
% 0.59/0.84 [615]P30(f57(x6151,x6152))+P30(f57(x6151,f24(x6151)))+~P30(f57(x6151,f32(a8,f7(f25(x6151)),f26(x6151),a58,a58)))
% 0.59/0.84 [616]P30(f57(x6161,x6162))+P30(f57(x6161,f20(x6161)))+~P30(f57(x6161,f32(a8,f7(f21(x6161)),f22(x6161),a58,a58)))
% 0.59/0.84 [625]P30(f57(x6251,x6252))+~P30(f57(x6251,f32(a8,f7(f25(x6251)),f26(x6251),a58,a58)))+~P30(f57(x6251,f32(a8,f11(f24(x6251)),f27(x6251),a58,a58)))
% 0.59/0.84 [626]P30(f57(x6261,x6262))+~P30(f57(x6261,f32(a8,f7(f21(x6261)),f22(x6261),a58,a58)))+~P30(f57(x6261,f32(a8,f11(f20(x6261)),f23(x6261),a58,a58)))
% 0.59/0.84 [444]~P5(x4443,x4442,x4441)+~P19(x4441)+~P5(x4442,x4443,x4441)
% 0.59/0.84 [446]~P5(x4463,x4462,x4461)+~P25(x4461)+~P5(x4462,x4463,x4461)
% 0.59/0.84 [447]~P5(x4473,x4472,x4471)+~P20(x4471)+~P5(x4472,x4473,x4471)
% 0.59/0.84 [430]~P20(x4303)+~P7(x4302,x4303)+P7(f40(x4301,x4302,x4303),x4303)
% 0.59/0.84 [455]~P20(x4552)+P7(x4551,x4552)+~P7(f15(x4553,x4551,x4552),x4552)
% 0.59/0.84 [456]~P20(x4562)+P7(x4561,x4562)+~P7(f15(x4561,x4563,x4562),x4562)
% 0.59/0.84 [457]~P20(x4572)+P7(x4571,x4572)+~P7(f30(x4573,x4571,x4572),x4572)
% 0.59/0.84 [416]E(x4161,x4162)+P5(x4162,x4161,a1)+E(f16(f7(x4161),x4163,x4162),f7(x4161))
% 0.59/0.84 [608]~P12(f48(a9,a58,a58),x6082,a58)+~P12(f48(a9,a58,a58),f32(a8,f16(x6081,x6082,f4(a1)),x6083,a58,a58),a58)+P12(f48(a9,a58,a58),f32(a8,f57(f57(a8,f11(x6081)),x6082),x6083,a58,a58),a58)
% 0.59/0.84 [621]~P30(f57(a10,x6212))+~P30(f57(a10,f32(a8,f16(x6211,x6212,f4(a1)),x6213,a58,a58)))+P30(f57(a10,f32(a8,f57(f57(a8,f11(x6211)),x6212),x6213,a58,a58)))
% 0.59/0.84 [485]~P3(x4851,x4853,x4854)+~P3(x4851,x4852,x4854)+P3(x4851,f15(x4852,x4853,x4854),x4854)
% 0.59/0.84 [464]P8(x4641,x4642,x4643)+~P8(x4641,x4644,x4643)+~P30(f57(f57(a9,x4644),x4642))
% 0.59/0.84 [471]P12(x4711,x4712,x4713)+~P12(x4711,x4714,x4713)+~P30(f57(f57(x4711,x4712),x4714))
% 0.59/0.84 [584]E(x5841,f3(a58))+E(f32(a8,x5842,f19(x5843,x5844,x5842,x5841),a58,a58),x5843)+~E(f57(f57(a8,x5843),x5844),f32(a8,x5842,x5841,a58,a58))
% 0.59/0.84 [438]~P15(x4383)+E(x4381,x4382)+~E(f57(f57(f5(x4383),x4384),x4381),f57(f57(f5(x4383),x4384),x4382))
% 0.59/0.84 [439]~P16(x4393)+E(x4391,x4392)+~E(f57(f57(f5(x4393),x4394),x4391),f57(f57(f5(x4393),x4394),x4392))
% 0.59/0.84 [440]~P16(x4403)+E(x4401,x4402)+~E(f57(f57(f5(x4403),x4401),x4404),f57(f57(f5(x4403),x4402),x4404))
% 0.59/0.84 [489]~P21(x4891)+~P5(x4892,x4894,x4891)+P5(f57(f57(f5(x4891),x4892),x4893),f57(f57(f5(x4891),x4894),x4893),x4891)
% 0.59/0.84 [490]~P22(x4901)+~P5(x4902,x4904,x4901)+P5(f57(f57(f5(x4901),x4902),x4903),f57(f57(f5(x4901),x4904),x4903),x4901)
% 0.59/0.84 [491]~P21(x4911)+~P5(x4913,x4914,x4911)+P5(f57(f57(f5(x4911),x4912),x4913),f57(f57(f5(x4911),x4912),x4914),x4911)
% 0.59/0.84 [492]~P22(x4921)+~P5(x4923,x4924,x4921)+P5(f57(f57(f5(x4921),x4922),x4923),f57(f57(f5(x4921),x4922),x4924),x4921)
% 0.59/0.84 [497]P8(x4971,x4972,x4973)+~P8(x4971,x4974,x4973)+~P30(f57(f57(f47(a9,a58),x4974),x4972))
% 0.59/0.84 [508]P12(x5081,x5082,x5083)+~P12(x5081,x5084,x5083)+~P30(f57(f57(f47(x5081,x5083),x5082),x5084))
% 0.59/0.84 [511]~P22(x5113)+P5(x5111,x5112,x5113)+~P5(f57(f57(f5(x5113),x5114),x5111),f57(f57(f5(x5113),x5114),x5112),x5113)
% 0.59/0.84 [512]~P22(x5123)+P5(x5121,x5122,x5123)+~P5(f57(f57(f5(x5123),x5121),x5124),f57(f57(f5(x5123),x5122),x5124),x5123)
% 0.59/0.84 [555]~P30(f57(f57(f47(a9,a58),x5551),x5553))+~P30(f57(f57(f47(a9,a58),x5552),x5554))+P30(f57(f57(f47(a9,a58),f57(f57(a8,x5551),x5552)),f57(f57(a8,x5553),x5554)))
% 0.59/0.84 [580]E(x5801,f3(a58))+~E(f57(f57(a8,x5802),x5803),f32(a8,x5804,x5801,a58,a58))+E(f15(f19(x5802,x5803,x5804,x5801),f30(x5803,f3(a58),a58),a58),x5801)
% 0.59/0.84 [441]E(x4411,x4412)+~E(f39(x4413,x4411,x4414),f39(x4415,x4412,x4414))+E(x4413,f4(a1))
% 0.59/0.84 [601]~P13(x6011,x6013,x6015)+~P8(x6011,x6012,f33(a50,x6015,x6014,a61,a61))+P8(x6011,f32(a8,x6012,x6013,a58,a58),x6014)
% 0.59/0.84 [501]~P8(x5011,x5013,x5015)+~P8(x5011,x5012,f57(f57(a50,x5015),x5014))+P8(x5011,f57(f57(a8,x5012),x5013),x5014)
% 0.59/0.84 [614]E(x6141,x6142)+~P8(x6143,f32(a8,f7(x6144),x6145,a58,a58),x6141)+~P8(x6143,f32(a8,f7(x6144),x6145,a58,a58),x6142)
% 0.59/0.84 [525]~P30(f57(f57(x5251,x5255),x5254))+~P30(f57(f57(f47(x5251,x5252),x5253),x5255))+P30(f57(f57(f47(x5251,x5252),x5253),x5254))
% 0.59/0.84 [526]~P30(f57(f57(x5261,x5263),x5265))+~P30(f57(f57(f47(x5261,x5262),x5265),x5264))+P30(f57(f57(f47(x5261,x5262),x5263),x5264))
% 0.59/0.84 [534]~P30(f57(f57(f47(x5341,x5342),x5343),x5345))+P30(f57(f57(f47(x5341,x5342),x5343),x5344))+~P30(f57(f57(f47(x5341,x5342),x5345),x5344))
% 0.59/0.84 [537]~P30(f57(x5371,x5373))+E(f29(x5371,f15(x5372,f30(x5373,x5374,x5375),x5375),x5375),f30(x5373,f29(x5371,x5374,x5375),x5375))+P30(f57(x5371,f45(x5371,x5372,x5375)))
% 0.59/0.84 [538]~P30(f57(x5381,x5383))+E(f29(x5381,f15(x5382,f30(x5383,x5384,x5385),x5385),x5385),f30(x5383,f29(x5381,x5384,x5385),x5385))+P30(f57(x5381,f46(x5381,x5382,x5385)))
% 0.59/0.84 [496]~P14(x4961)+E(f57(f57(f5(x4961),x4962),x4963),x4964)+~E(f57(f57(f5(x4961),x4962),f57(f57(f5(x4961),x4965),x4963)),f57(f57(f5(x4961),x4965),x4964))
% 0.59/0.84 [533]E(x5331,x5332)+E(x5333,x5334)+~P6(x5335,f30(x5334,x5332,x5336),f30(x5333,x5331,x5336),x5336)
% 0.59/0.84 [548]E(x5481,x5482)+P6(x5483,x5481,x5482,x5484)+~P6(x5483,f30(x5485,x5481,x5484),f30(x5486,x5482,x5484),x5484)
% 0.59/0.84 [535]E(x5351,x5352)+~P6(x5353,f30(x5352,x5354,x5355),f30(x5351,x5356,x5355),x5355)+P30(f57(f57(x5353,x5352),x5351))
% 0.59/0.84 [549]~P4(x5491,x5493,x5496,x5494)+P4(x5491,f30(x5492,x5493,x5494),f30(x5495,x5496,x5494),x5494)+~P30(f57(f57(x5491,x5492),x5495))
% 0.59/0.84 [552]P6(x5521,x5522,x5523,x5524)+~P6(x5521,f30(x5525,x5522,x5524),f30(x5526,x5523,x5524),x5524)+P30(f57(f57(x5521,x5525),x5526))
% 0.59/0.84 [562]E(x5621,x5622)+E(x5623,x5624)+~P6(x5625,f15(x5623,f30(x5621,f3(x5626),x5626),x5626),f15(x5624,f30(x5622,f3(x5626),x5626),x5626),x5626)
% 0.59/0.84 [565]E(x5651,x5652)+~P6(x5653,f15(x5654,f30(x5651,f3(x5655),x5655),x5655),f15(x5656,f30(x5652,f3(x5655),x5655),x5655),x5655)+P30(f57(f57(x5653,x5651),x5652))
% 0.59/0.84 [566]E(x5661,x5662)+P6(x5663,x5661,x5662,x5664)+~P6(x5663,f15(x5661,f30(x5665,f3(x5664),x5664),x5664),f15(x5662,f30(x5666,f3(x5664),x5664),x5664),x5664)
% 0.59/0.84 [567]P6(x5671,x5672,x5673,x5674)+~P6(x5671,f15(x5672,f30(x5675,f3(x5674),x5674),x5674),f15(x5673,f30(x5676,f3(x5674),x5674),x5674),x5674)+P30(f57(f57(x5671,x5675),x5676))
% 0.59/0.84 [431]P3(a10,f66(x4311),a58)+E(f11(f65(x4311)),x4311)+~P30(f57(a10,x4311))+P30(f57(a10,f68(x4311)))
% 0.59/0.84 [448]P3(a10,f66(x4481),a58)+~P30(f57(a10,x4481))+P30(f57(a10,f65(x4481)))+P30(f57(a10,f68(x4481)))
% 0.59/0.84 [558]E(f11(f65(x5581)),x5581)+E(f32(a8,f7(f67(x5581)),f66(x5581),a58,a58),x5581)+~P30(f57(a10,x5581))+P30(f57(a10,f68(x5581)))
% 0.59/0.84 [560]E(f32(a8,f7(f67(x5601)),f66(x5601),a58,a58),x5601)+~P30(f57(a10,x5601))+P30(f57(a10,f68(x5601)))+P30(f57(a10,f65(x5601)))
% 0.59/0.84 [561]P3(a10,f66(x5611),a58)+E(f11(f65(x5611)),x5611)+E(f32(a8,f57(f57(a8,f11(f69(x5611))),f68(x5611)),f71(x5611),a58,a58),x5611)+~P30(f57(a10,x5611))
% 0.59/0.84 [564]P3(a10,f66(x5641),a58)+E(f32(a8,f57(f57(a8,f11(f69(x5641))),f68(x5641)),f71(x5641),a58,a58),x5641)+~P30(f57(a10,x5641))+P30(f57(a10,f65(x5641)))
% 0.59/0.84 [581]E(f11(f65(x5811)),x5811)+E(f32(a8,f7(f67(x5811)),f66(x5811),a58,a58),x5811)+E(f32(a8,f57(f57(a8,f11(f69(x5811))),f68(x5811)),f71(x5811),a58,a58),x5811)+~P30(f57(a10,x5811))
% 0.59/0.84 [582]E(f32(a8,f7(f67(x5821)),f66(x5821),a58,a58),x5821)+E(f32(a8,f57(f57(a8,f11(f69(x5821))),f68(x5821)),f71(x5821),a58,a58),x5821)+~P30(f57(a10,x5821))+P30(f57(a10,f65(x5821)))
% 0.59/0.84 [599]P3(a10,f66(x5991),a58)+E(f11(f65(x5991)),x5991)+~P30(f57(a10,x5991))+P30(f57(a10,f32(a8,f16(f69(x5991),f68(x5991),f4(a1)),f71(x5991),a58,a58)))
% 0.59/0.84 [600]P3(a10,f66(x6001),a58)+~P30(f57(a10,x6001))+P30(f57(a10,f65(x6001)))+P30(f57(a10,f32(a8,f16(f69(x6001),f68(x6001),f4(a1)),f71(x6001),a58,a58)))
% 0.59/0.84 [603]E(f11(f65(x6031)),x6031)+E(f32(a8,f7(f67(x6031)),f66(x6031),a58,a58),x6031)+~P30(f57(a10,x6031))+P30(f57(a10,f32(a8,f16(f69(x6031),f68(x6031),f4(a1)),f71(x6031),a58,a58)))
% 0.59/0.84 [604]E(f32(a8,f7(f67(x6041)),f66(x6041),a58,a58),x6041)+~P30(f57(a10,x6041))+P30(f57(a10,f65(x6041)))+P30(f57(a10,f32(a8,f16(f69(x6041),f68(x6041),f4(a1)),f71(x6041),a58,a58)))
% 0.59/0.84 [413]P5(x4131,x4132,x4133)+~P20(x4133)+E(x4131,x4132)+P5(x4132,x4131,x4133)
% 0.59/0.84 [414]P5(x4141,x4142,x4143)+~P29(x4143)+E(x4141,x4142)+P5(x4142,x4141,x4143)
% 0.59/0.84 [397]~P28(x3972)+~P11(x3972)+E(x3971,f4(x3972))+~E(f57(f57(f5(x3972),x3973),x3971),x3973)
% 0.59/0.84 [493]~P23(x4931)+~P5(f4(x4931),x4933,x4931)+~P5(f4(x4931),x4932,x4931)+P5(f4(x4931),f57(f57(f5(x4931),x4932),x4933),x4931)
% 0.59/0.84 [494]~P23(x4941)+~P5(x4943,f4(x4941),x4941)+~P5(x4942,f4(x4941),x4941)+P5(f57(f57(f5(x4941),x4942),x4943),f4(x4941),x4941)
% 0.59/0.84 [460]~P19(x4603)+~P5(x4601,x4604,x4603)+P5(x4601,x4602,x4603)+~P5(x4604,x4602,x4603)
% 0.59/0.84 [461]~P25(x4613)+~P5(x4611,x4614,x4613)+P5(x4611,x4612,x4613)+~P5(x4614,x4612,x4613)
% 0.59/0.84 [449]~P28(x4493)+~P11(x4493)+E(x4491,x4492)+~E(f57(f57(f5(x4493),x4494),x4491),f57(f57(f5(x4493),x4494),x4492))
% 0.59/0.84 [487]~P26(x4872)+~P5(x4871,x4874,x4872)+~P5(f4(x4872),x4873,x4872)+P5(x4871,f57(f57(f5(x4872),x4873),x4874),x4872)
% 0.59/0.84 [509]~P21(x5091)+~P5(x5093,x5095,x5091)+~P5(x5092,x5094,x5091)+P5(f57(f57(f5(x5091),x5092),x5093),f57(f57(f5(x5091),x5094),x5095),x5091)
% 0.59/0.84 [628]~P13(x6281,x6285,x6286)+P13(x6281,x6282,f56(x6283,x6284,x6281,x6282))+~P8(x6281,f32(a8,f7(x6287),x6285,a58,a58),x6284)+~P8(x6281,f32(a8,f32(a8,f7(x6287),x6285,a58,a58),x6282,a58,a58),x6283)
% 0.59/0.84 [630]~P13(x6303,x6305,x6306)+~P8(x6303,f32(a8,f7(x6307),x6305,a58,a58),x6302)+~P8(x6303,f32(a8,f32(a8,f7(x6307),x6305,a58,a58),x6304,a58,a58),x6301)+E(f33(a50,f56(x6301,x6302,x6303,x6304),x6301,a61,a61),x6302)
% 0.59/0.84 %EqnAxiom
% 0.59/0.84 [1]E(x11,x11)
% 0.59/0.84 [2]E(x22,x21)+~E(x21,x22)
% 0.59/0.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.59/0.84 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.59/0.84 [5]~E(x51,x52)+E(f34(x51,x53),f34(x52,x53))
% 0.59/0.84 [6]~E(x61,x62)+E(f34(x63,x61),f34(x63,x62))
% 0.59/0.84 [7]~E(x71,x72)+E(f32(x71,x73,x74,x75,x76),f32(x72,x73,x74,x75,x76))
% 0.59/0.84 [8]~E(x81,x82)+E(f32(x83,x81,x84,x85,x86),f32(x83,x82,x84,x85,x86))
% 0.59/0.84 [9]~E(x91,x92)+E(f32(x93,x94,x91,x95,x96),f32(x93,x94,x92,x95,x96))
% 0.59/0.84 [10]~E(x101,x102)+E(f32(x103,x104,x105,x101,x106),f32(x103,x104,x105,x102,x106))
% 0.59/0.84 [11]~E(x111,x112)+E(f32(x113,x114,x115,x116,x111),f32(x113,x114,x115,x116,x112))
% 0.59/0.84 [12]~E(x121,x122)+E(f7(x121),f7(x122))
% 0.59/0.84 [13]~E(x131,x132)+E(f38(x131,x133),f38(x132,x133))
% 0.59/0.84 [14]~E(x141,x142)+E(f38(x143,x141),f38(x143,x142))
% 0.59/0.84 [15]~E(x151,x152)+E(f57(x151,x153),f57(x152,x153))
% 0.59/0.84 [16]~E(x161,x162)+E(f57(x163,x161),f57(x163,x162))
% 0.59/0.84 [17]~E(x171,x172)+E(f33(x171,x173,x174,x175,x176),f33(x172,x173,x174,x175,x176))
% 0.59/0.84 [18]~E(x181,x182)+E(f33(x183,x181,x184,x185,x186),f33(x183,x182,x184,x185,x186))
% 0.59/0.84 [19]~E(x191,x192)+E(f33(x193,x194,x191,x195,x196),f33(x193,x194,x192,x195,x196))
% 0.59/0.84 [20]~E(x201,x202)+E(f33(x203,x204,x205,x201,x206),f33(x203,x204,x205,x202,x206))
% 0.59/0.84 [21]~E(x211,x212)+E(f33(x213,x214,x215,x216,x211),f33(x213,x214,x215,x216,x212))
% 0.59/0.84 [22]~E(x221,x222)+E(f48(x221,x223,x224),f48(x222,x223,x224))
% 0.59/0.84 [23]~E(x231,x232)+E(f48(x233,x231,x234),f48(x233,x232,x234))
% 0.59/0.84 [24]~E(x241,x242)+E(f48(x243,x244,x241),f48(x243,x244,x242))
% 0.59/0.84 [25]~E(x251,x252)+E(f5(x251),f5(x252))
% 0.59/0.84 [26]~E(x261,x262)+E(f4(x261),f4(x262))
% 0.59/0.84 [27]~E(x271,x272)+E(f11(x271),f11(x272))
% 0.59/0.84 [28]~E(x281,x282)+E(f56(x281,x283,x284,x285),f56(x282,x283,x284,x285))
% 0.59/0.84 [29]~E(x291,x292)+E(f56(x293,x291,x294,x295),f56(x293,x292,x294,x295))
% 0.59/0.84 [30]~E(x301,x302)+E(f56(x303,x304,x301,x305),f56(x303,x304,x302,x305))
% 0.59/0.84 [31]~E(x311,x312)+E(f56(x313,x314,x315,x311),f56(x313,x314,x315,x312))
% 0.59/0.84 [32]~E(x321,x322)+E(f42(x321,x323),f42(x322,x323))
% 0.59/0.84 [33]~E(x331,x332)+E(f42(x333,x331),f42(x333,x332))
% 0.59/0.84 [34]~E(x341,x342)+E(f41(x341),f41(x342))
% 0.59/0.84 [35]~E(x351,x352)+E(f30(x351,x353,x354),f30(x352,x353,x354))
% 0.59/0.84 [36]~E(x361,x362)+E(f30(x363,x361,x364),f30(x363,x362,x364))
% 0.59/0.84 [37]~E(x371,x372)+E(f30(x373,x374,x371),f30(x373,x374,x372))
% 0.59/0.84 [38]~E(x381,x382)+E(f39(x381,x383,x384),f39(x382,x383,x384))
% 0.59/0.84 [39]~E(x391,x392)+E(f39(x393,x391,x394),f39(x393,x392,x394))
% 0.59/0.84 [40]~E(x401,x402)+E(f39(x403,x404,x401),f39(x403,x404,x402))
% 0.59/0.84 [41]~E(x411,x412)+E(f69(x411),f69(x412))
% 0.59/0.84 [42]~E(x421,x422)+E(f73(x421),f73(x422))
% 0.59/0.84 [43]~E(x431,x432)+E(f66(x431),f66(x432))
% 0.59/0.84 [44]~E(x441,x442)+E(f47(x441,x443),f47(x442,x443))
% 0.59/0.84 [45]~E(x451,x452)+E(f47(x453,x451),f47(x453,x452))
% 0.59/0.84 [46]~E(x461,x462)+E(f67(x461),f67(x462))
% 0.59/0.84 [47]~E(x471,x472)+E(f44(x471,x473,x474,x475,x476),f44(x472,x473,x474,x475,x476))
% 0.59/0.84 [48]~E(x481,x482)+E(f44(x483,x481,x484,x485,x486),f44(x483,x482,x484,x485,x486))
% 0.59/0.84 [49]~E(x491,x492)+E(f44(x493,x494,x491,x495,x496),f44(x493,x494,x492,x495,x496))
% 0.59/0.84 [50]~E(x501,x502)+E(f44(x503,x504,x505,x501,x506),f44(x503,x504,x505,x502,x506))
% 0.59/0.84 [51]~E(x511,x512)+E(f44(x513,x514,x515,x516,x511),f44(x513,x514,x515,x516,x512))
% 0.59/0.84 [52]~E(x521,x522)+E(f15(x521,x523,x524),f15(x522,x523,x524))
% 0.59/0.84 [53]~E(x531,x532)+E(f15(x533,x531,x534),f15(x533,x532,x534))
% 0.59/0.84 [54]~E(x541,x542)+E(f15(x543,x544,x541),f15(x543,x544,x542))
% 0.59/0.84 [55]~E(x551,x552)+E(f71(x551),f71(x552))
% 0.59/0.84 [56]~E(x561,x562)+E(f20(x561),f20(x562))
% 0.59/0.84 [57]~E(x571,x572)+E(f16(x571,x573,x574),f16(x572,x573,x574))
% 0.59/0.84 [58]~E(x581,x582)+E(f16(x583,x581,x584),f16(x583,x582,x584))
% 0.59/0.84 [59]~E(x591,x592)+E(f16(x593,x594,x591),f16(x593,x594,x592))
% 0.59/0.84 [60]~E(x601,x602)+E(f6(x601,x603,x604),f6(x602,x603,x604))
% 0.59/0.84 [61]~E(x611,x612)+E(f6(x613,x611,x614),f6(x613,x612,x614))
% 0.59/0.84 [62]~E(x621,x622)+E(f6(x623,x624,x621),f6(x623,x624,x622))
% 0.59/0.84 [63]~E(x631,x632)+E(f13(x631,x633,x634,x635,x636),f13(x632,x633,x634,x635,x636))
% 0.59/0.84 [64]~E(x641,x642)+E(f13(x643,x641,x644,x645,x646),f13(x643,x642,x644,x645,x646))
% 0.59/0.84 [65]~E(x651,x652)+E(f13(x653,x654,x651,x655,x656),f13(x653,x654,x652,x655,x656))
% 0.59/0.84 [66]~E(x661,x662)+E(f13(x663,x664,x665,x661,x666),f13(x663,x664,x665,x662,x666))
% 0.59/0.84 [67]~E(x671,x672)+E(f13(x673,x674,x675,x676,x671),f13(x673,x674,x675,x676,x672))
% 0.59/0.84 [68]~E(x681,x682)+E(f55(x681,x683,x684,x685),f55(x682,x683,x684,x685))
% 0.59/0.84 [69]~E(x691,x692)+E(f55(x693,x691,x694,x695),f55(x693,x692,x694,x695))
% 0.59/0.84 [70]~E(x701,x702)+E(f55(x703,x704,x701,x705),f55(x703,x704,x702,x705))
% 0.59/0.84 [71]~E(x711,x712)+E(f55(x713,x714,x715,x711),f55(x713,x714,x715,x712))
% 0.59/0.84 [72]~E(x721,x722)+E(f35(x721,x723,x724,x725),f35(x722,x723,x724,x725))
% 0.59/0.84 [73]~E(x731,x732)+E(f35(x733,x731,x734,x735),f35(x733,x732,x734,x735))
% 0.59/0.84 [74]~E(x741,x742)+E(f35(x743,x744,x741,x745),f35(x743,x744,x742,x745))
% 0.59/0.84 [75]~E(x751,x752)+E(f35(x753,x754,x755,x751),f35(x753,x754,x755,x752))
% 0.59/0.84 [76]~E(x761,x762)+E(f65(x761),f65(x762))
% 0.59/0.84 [77]~E(x771,x772)+E(f40(x771,x773,x774),f40(x772,x773,x774))
% 0.59/0.84 [78]~E(x781,x782)+E(f40(x783,x781,x784),f40(x783,x782,x784))
% 0.59/0.84 [79]~E(x791,x792)+E(f40(x793,x794,x791),f40(x793,x794,x792))
% 0.59/0.84 [80]~E(x801,x802)+E(f12(x801,x803),f12(x802,x803))
% 0.59/0.84 [81]~E(x811,x812)+E(f12(x813,x811),f12(x813,x812))
% 0.59/0.84 [82]~E(x821,x822)+E(f36(x821,x823,x824,x825),f36(x822,x823,x824,x825))
% 0.59/0.84 [83]~E(x831,x832)+E(f36(x833,x831,x834,x835),f36(x833,x832,x834,x835))
% 0.59/0.84 [84]~E(x841,x842)+E(f36(x843,x844,x841,x845),f36(x843,x844,x842,x845))
% 0.59/0.84 [85]~E(x851,x852)+E(f36(x853,x854,x855,x851),f36(x853,x854,x855,x852))
% 0.59/0.84 [86]~E(x861,x862)+E(f28(x861,x863,x864),f28(x862,x863,x864))
% 0.59/0.84 [87]~E(x871,x872)+E(f28(x873,x871,x874),f28(x873,x872,x874))
% 0.59/0.84 [88]~E(x881,x882)+E(f28(x883,x884,x881),f28(x883,x884,x882))
% 0.59/0.84 [89]~E(x891,x892)+E(f14(x891,x893,x894,x895,x896),f14(x892,x893,x894,x895,x896))
% 0.59/0.84 [90]~E(x901,x902)+E(f14(x903,x901,x904,x905,x906),f14(x903,x902,x904,x905,x906))
% 0.59/0.84 [91]~E(x911,x912)+E(f14(x913,x914,x911,x915,x916),f14(x913,x914,x912,x915,x916))
% 0.59/0.84 [92]~E(x921,x922)+E(f14(x923,x924,x925,x921,x926),f14(x923,x924,x925,x922,x926))
% 0.59/0.84 [93]~E(x931,x932)+E(f14(x933,x934,x935,x936,x931),f14(x933,x934,x935,x936,x932))
% 0.59/0.84 [94]~E(x941,x942)+E(f68(x941),f68(x942))
% 0.59/0.84 [95]~E(x951,x952)+E(f76(x951),f76(x952))
% 0.59/0.84 [96]~E(x961,x962)+E(f29(x961,x963,x964),f29(x962,x963,x964))
% 0.59/0.84 [97]~E(x971,x972)+E(f29(x973,x971,x974),f29(x973,x972,x974))
% 0.59/0.84 [98]~E(x981,x982)+E(f29(x983,x984,x981),f29(x983,x984,x982))
% 0.59/0.84 [99]~E(x991,x992)+E(f75(x991),f75(x992))
% 0.59/0.84 [100]~E(x1001,x1002)+E(f22(x1001),f22(x1002))
% 0.59/0.84 [101]~E(x1011,x1012)+E(f24(x1011),f24(x1012))
% 0.59/0.84 [102]~E(x1021,x1022)+E(f26(x1021),f26(x1022))
% 0.59/0.84 [103]~E(x1031,x1032)+E(f78(x1031),f78(x1032))
% 0.59/0.84 [104]~E(x1041,x1042)+E(f80(x1041),f80(x1042))
% 0.59/0.84 [105]~E(x1051,x1052)+E(f54(x1051,x1053,x1054,x1055),f54(x1052,x1053,x1054,x1055))
% 0.59/0.84 [106]~E(x1061,x1062)+E(f54(x1063,x1061,x1064,x1065),f54(x1063,x1062,x1064,x1065))
% 0.59/0.84 [107]~E(x1071,x1072)+E(f54(x1073,x1074,x1071,x1075),f54(x1073,x1074,x1072,x1075))
% 0.59/0.84 [108]~E(x1081,x1082)+E(f54(x1083,x1084,x1085,x1081),f54(x1083,x1084,x1085,x1082))
% 0.59/0.84 [109]~E(x1091,x1092)+E(f81(x1091),f81(x1092))
% 0.59/0.84 [110]~E(x1101,x1102)+E(f64(x1101),f64(x1102))
% 0.59/0.84 [111]~E(x1111,x1112)+E(f43(x1111,x1113,x1114),f43(x1112,x1113,x1114))
% 0.59/0.84 [112]~E(x1121,x1122)+E(f43(x1123,x1121,x1124),f43(x1123,x1122,x1124))
% 0.59/0.84 [113]~E(x1131,x1132)+E(f43(x1133,x1134,x1131),f43(x1133,x1134,x1132))
% 0.59/0.84 [114]~E(x1141,x1142)+E(f37(x1141,x1143,x1144,x1145,x1146),f37(x1142,x1143,x1144,x1145,x1146))
% 0.59/0.84 [115]~E(x1151,x1152)+E(f37(x1153,x1151,x1154,x1155,x1156),f37(x1153,x1152,x1154,x1155,x1156))
% 0.59/0.84 [116]~E(x1161,x1162)+E(f37(x1163,x1164,x1161,x1165,x1166),f37(x1163,x1164,x1162,x1165,x1166))
% 0.59/0.84 [117]~E(x1171,x1172)+E(f37(x1173,x1174,x1175,x1171,x1176),f37(x1173,x1174,x1175,x1172,x1176))
% 0.59/0.84 [118]~E(x1181,x1182)+E(f37(x1183,x1184,x1185,x1186,x1181),f37(x1183,x1184,x1185,x1186,x1182))
% 0.59/0.84 [119]~E(x1191,x1192)+E(f79(x1191),f79(x1192))
% 0.59/0.84 [120]~E(x1201,x1202)+E(f27(x1201),f27(x1202))
% 0.59/0.84 [121]~E(x1211,x1212)+E(f74(x1211),f74(x1212))
% 0.59/0.84 [122]~E(x1221,x1222)+E(f53(x1221,x1223,x1224,x1225),f53(x1222,x1223,x1224,x1225))
% 0.59/0.84 [123]~E(x1231,x1232)+E(f53(x1233,x1231,x1234,x1235),f53(x1233,x1232,x1234,x1235))
% 0.59/0.84 [124]~E(x1241,x1242)+E(f53(x1243,x1244,x1241,x1245),f53(x1243,x1244,x1242,x1245))
% 0.59/0.84 [125]~E(x1251,x1252)+E(f53(x1253,x1254,x1255,x1251),f53(x1253,x1254,x1255,x1252))
% 0.59/0.84 [126]~E(x1261,x1262)+E(f82(x1261),f82(x1262))
% 0.59/0.84 [127]~E(x1271,x1272)+E(f49(x1271),f49(x1272))
% 0.59/0.84 [128]~E(x1281,x1282)+E(f72(x1281),f72(x1282))
% 0.59/0.84 [129]~E(x1291,x1292)+E(f21(x1291),f21(x1292))
% 0.59/0.84 [130]~E(x1301,x1302)+E(f25(x1301),f25(x1302))
% 0.59/0.84 [131]~E(x1311,x1312)+E(f18(x1311),f18(x1312))
% 0.59/0.84 [132]~E(x1321,x1322)+E(f51(x1321,x1323,x1324,x1325),f51(x1322,x1323,x1324,x1325))
% 0.59/0.84 [133]~E(x1331,x1332)+E(f51(x1333,x1331,x1334,x1335),f51(x1333,x1332,x1334,x1335))
% 0.59/0.84 [134]~E(x1341,x1342)+E(f51(x1343,x1344,x1341,x1345),f51(x1343,x1344,x1342,x1345))
% 0.59/0.84 [135]~E(x1351,x1352)+E(f51(x1353,x1354,x1355,x1351),f51(x1353,x1354,x1355,x1352))
% 0.59/0.84 [136]~E(x1361,x1362)+E(f52(x1361,x1363,x1364,x1365),f52(x1362,x1363,x1364,x1365))
% 0.59/0.84 [137]~E(x1371,x1372)+E(f52(x1373,x1371,x1374,x1375),f52(x1373,x1372,x1374,x1375))
% 0.59/0.84 [138]~E(x1381,x1382)+E(f52(x1383,x1384,x1381,x1385),f52(x1383,x1384,x1382,x1385))
% 0.59/0.84 [139]~E(x1391,x1392)+E(f52(x1393,x1394,x1395,x1391),f52(x1393,x1394,x1395,x1392))
% 0.59/0.84 [140]~E(x1401,x1402)+E(f19(x1401,x1403,x1404,x1405),f19(x1402,x1403,x1404,x1405))
% 0.59/0.84 [141]~E(x1411,x1412)+E(f19(x1413,x1411,x1414,x1415),f19(x1413,x1412,x1414,x1415))
% 0.59/0.84 [142]~E(x1421,x1422)+E(f19(x1423,x1424,x1421,x1425),f19(x1423,x1424,x1422,x1425))
% 0.59/0.84 [143]~E(x1431,x1432)+E(f19(x1433,x1434,x1435,x1431),f19(x1433,x1434,x1435,x1432))
% 0.59/0.84 [144]~E(x1441,x1442)+E(f62(x1441,x1443),f62(x1442,x1443))
% 0.59/0.84 [145]~E(x1451,x1452)+E(f62(x1453,x1451),f62(x1453,x1452))
% 0.59/0.84 [146]~E(x1461,x1462)+E(f77(x1461),f77(x1462))
% 0.59/0.84 [147]~E(x1471,x1472)+E(f17(x1471),f17(x1472))
% 0.59/0.84 [148]~E(x1481,x1482)+E(f45(x1481,x1483,x1484),f45(x1482,x1483,x1484))
% 0.59/0.84 [149]~E(x1491,x1492)+E(f45(x1493,x1491,x1494),f45(x1493,x1492,x1494))
% 0.59/0.84 [150]~E(x1501,x1502)+E(f45(x1503,x1504,x1501),f45(x1503,x1504,x1502))
% 0.59/0.84 [151]~E(x1511,x1512)+E(f46(x1511,x1513,x1514),f46(x1512,x1513,x1514))
% 0.59/0.84 [152]~E(x1521,x1522)+E(f46(x1523,x1521,x1524),f46(x1523,x1522,x1524))
% 0.59/0.84 [153]~E(x1531,x1532)+E(f46(x1533,x1534,x1531),f46(x1533,x1534,x1532))
% 0.59/0.84 [154]~E(x1541,x1542)+E(f31(x1541,x1543,x1544,x1545),f31(x1542,x1543,x1544,x1545))
% 0.59/0.84 [155]~E(x1551,x1552)+E(f31(x1553,x1551,x1554,x1555),f31(x1553,x1552,x1554,x1555))
% 0.59/0.84 [156]~E(x1561,x1562)+E(f31(x1563,x1564,x1561,x1565),f31(x1563,x1564,x1562,x1565))
% 0.59/0.84 [157]~E(x1571,x1572)+E(f31(x1573,x1574,x1575,x1571),f31(x1573,x1574,x1575,x1572))
% 0.59/0.84 [158]~E(x1581,x1582)+E(f83(x1581),f83(x1582))
% 0.59/0.84 [159]~E(x1591,x1592)+E(f23(x1591),f23(x1592))
% 0.59/0.84 [160]~E(x1601,x1602)+E(f70(x1601),f70(x1602))
% 0.59/0.84 [161]~P1(x1611)+P1(x1612)+~E(x1611,x1612)
% 0.59/0.84 [162]~P19(x1621)+P19(x1622)+~E(x1621,x1622)
% 0.59/0.84 [163]P8(x1632,x1633,x1634)+~E(x1631,x1632)+~P8(x1631,x1633,x1634)
% 0.59/0.84 [164]P8(x1643,x1642,x1644)+~E(x1641,x1642)+~P8(x1643,x1641,x1644)
% 0.59/0.84 [165]P8(x1653,x1654,x1652)+~E(x1651,x1652)+~P8(x1653,x1654,x1651)
% 0.59/0.84 [166]~P25(x1661)+P25(x1662)+~E(x1661,x1662)
% 0.59/0.84 [167]~P30(x1671)+P30(x1672)+~E(x1671,x1672)
% 0.59/0.84 [168]~P20(x1681)+P20(x1682)+~E(x1681,x1682)
% 0.59/0.84 [169]~P21(x1691)+P21(x1692)+~E(x1691,x1692)
% 0.59/0.84 [170]~P22(x1701)+P22(x1702)+~E(x1701,x1702)
% 0.59/0.84 [171]~P23(x1711)+P23(x1712)+~E(x1711,x1712)
% 0.59/0.84 [172]~P26(x1721)+P26(x1722)+~E(x1721,x1722)
% 0.59/0.84 [173]~P2(x1731)+P2(x1732)+~E(x1731,x1732)
% 0.59/0.84 [174]~P15(x1741)+P15(x1742)+~E(x1741,x1742)
% 0.59/0.84 [175]~P16(x1751)+P16(x1752)+~E(x1751,x1752)
% 0.59/0.84 [176]~P27(x1761)+P27(x1762)+~E(x1761,x1762)
% 0.59/0.84 [177]~P17(x1771)+P17(x1772)+~E(x1771,x1772)
% 0.59/0.84 [178]~P24(x1781)+P24(x1782)+~E(x1781,x1782)
% 0.59/0.84 [179]P3(x1792,x1793,x1794)+~E(x1791,x1792)+~P3(x1791,x1793,x1794)
% 0.59/0.84 [180]P3(x1803,x1802,x1804)+~E(x1801,x1802)+~P3(x1803,x1801,x1804)
% 0.59/0.84 [181]P3(x1813,x1814,x1812)+~E(x1811,x1812)+~P3(x1813,x1814,x1811)
% 0.59/0.84 [182]P12(x1822,x1823,x1824)+~E(x1821,x1822)+~P12(x1821,x1823,x1824)
% 0.59/0.84 [183]P12(x1833,x1832,x1834)+~E(x1831,x1832)+~P12(x1833,x1831,x1834)
% 0.59/0.84 [184]P12(x1843,x1844,x1842)+~E(x1841,x1842)+~P12(x1843,x1844,x1841)
% 0.59/0.84 [185]~P18(x1851)+P18(x1852)+~E(x1851,x1852)
% 0.59/0.84 [186]P5(x1862,x1863,x1864)+~E(x1861,x1862)+~P5(x1861,x1863,x1864)
% 0.59/0.84 [187]P5(x1873,x1872,x1874)+~E(x1871,x1872)+~P5(x1873,x1871,x1874)
% 0.59/0.84 [188]P5(x1883,x1884,x1882)+~E(x1881,x1882)+~P5(x1883,x1884,x1881)
% 0.59/0.84 [189]P13(x1892,x1893,x1894)+~E(x1891,x1892)+~P13(x1891,x1893,x1894)
% 0.59/0.84 [190]P13(x1903,x1902,x1904)+~E(x1901,x1902)+~P13(x1903,x1901,x1904)
% 0.59/0.84 [191]P13(x1913,x1914,x1912)+~E(x1911,x1912)+~P13(x1913,x1914,x1911)
% 0.59/0.84 [192]P4(x1922,x1923,x1924,x1925)+~E(x1921,x1922)+~P4(x1921,x1923,x1924,x1925)
% 0.59/0.84 [193]P4(x1933,x1932,x1934,x1935)+~E(x1931,x1932)+~P4(x1933,x1931,x1934,x1935)
% 0.59/0.84 [194]P4(x1943,x1944,x1942,x1945)+~E(x1941,x1942)+~P4(x1943,x1944,x1941,x1945)
% 0.59/0.84 [195]P4(x1953,x1954,x1955,x1952)+~E(x1951,x1952)+~P4(x1953,x1954,x1955,x1951)
% 0.59/0.84 [196]P7(x1962,x1963)+~E(x1961,x1962)+~P7(x1961,x1963)
% 0.59/0.84 [197]P7(x1973,x1972)+~E(x1971,x1972)+~P7(x1973,x1971)
% 0.59/0.84 [198]P6(x1982,x1983,x1984,x1985)+~E(x1981,x1982)+~P6(x1981,x1983,x1984,x1985)
% 0.59/0.84 [199]P6(x1993,x1992,x1994,x1995)+~E(x1991,x1992)+~P6(x1993,x1991,x1994,x1995)
% 0.59/0.84 [200]P6(x2003,x2004,x2002,x2005)+~E(x2001,x2002)+~P6(x2003,x2004,x2001,x2005)
% 0.59/0.84 [201]P6(x2013,x2014,x2015,x2012)+~E(x2011,x2012)+~P6(x2013,x2014,x2015,x2011)
% 0.59/0.84 [202]P10(x2022,x2023,x2024)+~E(x2021,x2022)+~P10(x2021,x2023,x2024)
% 0.59/0.84 [203]P10(x2033,x2032,x2034)+~E(x2031,x2032)+~P10(x2033,x2031,x2034)
% 0.59/0.84 [204]P10(x2043,x2044,x2042)+~E(x2041,x2042)+~P10(x2043,x2044,x2041)
% 0.59/0.84 [205]~P11(x2051)+P11(x2052)+~E(x2051,x2052)
% 0.59/0.84 [206]~P28(x2061)+P28(x2062)+~E(x2061,x2062)
% 0.59/0.84 [207]P9(x2072,x2073)+~E(x2071,x2072)+~P9(x2071,x2073)
% 0.59/0.84 [208]P9(x2083,x2082)+~E(x2081,x2082)+~P9(x2083,x2081)
% 0.59/0.84 [209]~P29(x2091)+P29(x2092)+~E(x2091,x2092)
% 0.59/0.84 [210]~P14(x2101)+P14(x2102)+~E(x2101,x2102)
% 0.59/0.84
% 0.59/0.84 %-------------------------------------------
% 0.59/0.84 cnf(635,plain,
% 0.59/0.84 (~E(f30(x6351,x6352,x6353),x6352)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(642,plain,
% 0.59/0.84 (~E(f30(x6421,x6422,x6423),x6422)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(645,plain,
% 0.59/0.84 (~E(f30(x6451,x6452,x6453),x6452)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(648,plain,
% 0.59/0.84 (~E(f30(x6481,x6482,x6483),x6482)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(651,plain,
% 0.59/0.84 (~E(f57(f57(a8,x6511),x6512),f7(x6513))),
% 0.59/0.84 inference(rename_variables,[],[339])).
% 0.59/0.84 cnf(657,plain,
% 0.59/0.84 (~E(f30(x6571,x6572,x6573),x6572)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(662,plain,
% 0.59/0.84 (~E(f30(x6621,x6622,x6623),x6622)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(665,plain,
% 0.59/0.84 (~E(f30(x6651,x6652,x6653),x6652)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(668,plain,
% 0.59/0.84 (P30(f57(f57(f49(x6681),x6682),x6682))),
% 0.59/0.84 inference(rename_variables,[],[255])).
% 0.59/0.84 cnf(677,plain,
% 0.59/0.84 (~E(f30(x6771,x6772,x6773),x6772)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(682,plain,
% 0.59/0.84 (~E(f30(x6821,x6822,x6823),x6822)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(685,plain,
% 0.59/0.84 (~E(f30(x6851,x6852,x6853),x6852)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(688,plain,
% 0.59/0.84 (~E(f30(x6881,x6882,x6883),x6882)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(691,plain,
% 0.59/0.84 (~E(f30(x6911,x6912,x6913),x6912)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(694,plain,
% 0.59/0.84 (~E(f30(x6941,x6942,x6943),x6942)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(699,plain,
% 0.59/0.84 (P30(f57(f57(f49(x6991),x6992),x6992))),
% 0.59/0.84 inference(rename_variables,[],[255])).
% 0.59/0.84 cnf(702,plain,
% 0.59/0.84 (P30(f57(f57(f49(x7021),x7022),x7022))),
% 0.59/0.84 inference(rename_variables,[],[255])).
% 0.59/0.84 cnf(705,plain,
% 0.59/0.84 (P30(f57(f57(f49(x7051),x7052),x7052))),
% 0.59/0.84 inference(rename_variables,[],[255])).
% 0.59/0.84 cnf(711,plain,
% 0.59/0.84 (~E(f30(x7111,x7112,x7113),x7112)),
% 0.59/0.84 inference(rename_variables,[],[344])).
% 0.59/0.84 cnf(723,plain,
% 0.59/0.84 ($false),
% 0.59/0.84 inference(scs_inference,[],[329,215,336,353,344,635,642,645,648,657,662,665,677,682,685,688,691,694,711,279,234,308,339,651,313,255,668,699,702,705,293,300,2,386,571,466,451,389,570,569,419,572,499,401,384,383,609,547,523,510,500,454,394,393,392,364,363,524,613,611,620,618,443,442,473,201,200,198,195,183]),
% 0.59/0.84 ['proof']).
% 0.59/0.84 % SZS output end Proof
% 0.59/0.84 % Total time :0.070000s
%------------------------------------------------------------------------------