%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL763-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:19:47 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.68s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL763-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.06/0.32 % Computer : n019.cluster.edu % 0.06/0.32 % Model : x86_64 x86_64 % 0.06/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.32 % Memory : 8046.5625MB % 0.06/0.32 % OS : Linux 6.8.0-71-generic % 0.06/0.32 % CPULimit : 300 % 0.06/0.32 % WCLimit : 300 % 0.06/0.32 % DateTime : Sun Sep 6 00:33:38 UTC 2026 % 0.06/0.33 % CPUTime : % 0.27/0.48 start to proof:theBenchmark % 0.46/0.63 %------------------------------------------- % 0.46/0.63 % File :CSE---1.7 % 0.46/0.63 % Problem :theBenchmark % 0.46/0.63 % Transform :cnf % 0.46/0.63 % Format :tptp:raw % 0.46/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.46/0.63 % 0.46/0.63 % Result :Theorem 0.043109s % 0.46/0.63 % Output :CNFRefutation 0.043109s % 0.46/0.63 %------------------------------------------- % 0.46/0.64 %------------------------------------------------------------------------------ % 0.46/0.64 % File : LCL763-1 : TPTP v9.3.1. Released v4.1.0. % 0.46/0.64 % Domain : Logic Calculi % 0.46/0.64 % Problem : Strong normalization of typed lambda calculus 067_3 % 0.46/0.64 % Version : Especial. % 0.46/0.64 % English : % 0.46/0.64 % 0.46/0.64 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.46/0.64 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.46/0.64 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.46/0.64 % Source : [Nip10] % 0.46/0.64 % Names : StrongNorm-067_3 [Nip10] % 0.46/0.64 % 0.46/0.64 % Status : Unsatisfiable % 0.46/0.64 % Rating : 0.25 v9.3.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.00 v6.0.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0 % 0.46/0.64 % Syntax : Number of clauses : 421 ( 146 unt; 54 nHn; 204 RR) % 0.46/0.64 % Number of literals : 832 ( 341 equ; 364 neg) % 0.46/0.64 % Maximal clause size : 4 ( 1 avg) % 0.46/0.64 % Maximal term depth : 6 ( 2 avg) % 0.46/0.64 % Number of predicates : 31 ( 30 usr; 0 prp; 1-4 aty) % 0.46/0.64 % Number of functors : 84 ( 84 usr; 11 con; 0-5 aty) % 0.46/0.64 % Number of variables : 1322 ( 230 sgn) % 0.46/0.64 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.46/0.64 % 0.46/0.64 % Comments : % 0.46/0.64 %------------------------------------------------------------------------------ % 0.46/0.64 cnf(cls_foldl__foldr1__lemma_0,axiom, % 0.46/0.64 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.46/0.64 | 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)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_foldl__foldr1_0,axiom, % 0.46/0.64 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.46/0.64 | 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) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_substn_Osimps_I1_J_2,axiom, % 0.46/0.64 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.46/0.64 | V_i = V_k % 0.46/0.64 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_foldr_Osimps_I1_J_0,axiom, % 0.46/0.64 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ). % 0.46/0.64 % 0.46/0.64 cnf(cls_length__greater__0__conv_0,axiom, % 0.46/0.64 ~ 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) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_replicate__eq__replicate_1,axiom, % 0.46/0.64 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.46/0.64 | V_x = V_y % 0.46/0.64 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_list__app__typeD_0,axiom, % 0.46/0.64 ( 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)) % 0.46/0.64 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_length__list__update_0,axiom, % 0.46/0.64 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)) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_replicate__eq__replicate_2,axiom, % 0.46/0.64 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) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_length__greater__0__conv_1,axiom, % 0.46/0.64 ( 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) % 0.46/0.64 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_rtranclp__converseI_0,axiom, % 0.46/0.64 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) % 0.46/0.64 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_rtranclp__converseD_0,axiom, % 0.46/0.64 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) % 0.46/0.64 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_conversepD_0,axiom, % 0.46/0.64 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a)) % 0.46/0.64 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_conversep__iff_1,axiom, % 0.46/0.64 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) % 0.46/0.64 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_conversep_Ocases_0,axiom, % 0.46/0.64 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1)) % 0.46/0.64 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_conversep_Ointros_0,axiom, % 0.46/0.64 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a)) % 0.46/0.64 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_not__less0_0,axiom, % 0.46/0.64 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_gr__implies__not0_0,axiom, % 0.46/0.64 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_xt1_I10_J_0,axiom, % 0.46/0.64 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.64 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.46/0.64 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.46/0.64 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_order__less__trans_0,axiom, % 0.46/0.64 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.64 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.46/0.64 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.46/0.64 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_replicate__eq__replicate_0,axiom, % 0.46/0.64 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.46/0.64 | V_m = V_n ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_accp__downwards_0,axiom, % 0.46/0.64 ( c_Wellfounded_Oaccp(V_r,V_b,T_a) % 0.46/0.64 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) % 0.46/0.64 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_accp__downwards__aux_0,axiom, % 0.46/0.64 ( c_Wellfounded_Oaccp(V_r,V_b,T_a) % 0.46/0.64 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) % 0.46/0.64 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_list__app__typeE_0,axiom, % 0.46/0.64 ( 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)) % 0.46/0.64 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_IT__implies__termi_0,axiom, % 0.46/0.64 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB) % 0.46/0.64 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_termi__implies__IT_0,axiom, % 0.46/0.64 ( hBOOL(hAPP(c_InductTermi_OIT,V_r)) % 0.46/0.64 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_length__remdups__eq_0,axiom, % 0.46/0.64 ( 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)) % 0.46/0.64 | c_List_Oremdups(V_xs,T_a) = V_xs ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_length__remdups__eq_1,axiom, % 0.46/0.64 ( c_List_Oremdups(V_xs,T_a) != V_xs % 0.46/0.64 | 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)) ) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_length__map_0,axiom, % 0.46/0.64 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)) ). % 0.46/0.64 % 0.46/0.64 cnf(cls_map__replicate_0,axiom, % 0.46/0.64 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) ). % 0.46/0.64 % 0.46/0.65 cnf(cls_rev__replicate_0,axiom, % 0.46/0.65 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_foldr__append_0,axiom, % 0.46/0.65 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) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_filter__replicate_0,axiom, % 0.46/0.65 ( 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) % 0.46/0.65 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_map__eq__imp__length__eq_0,axiom, % 0.46/0.65 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_f,V_ys,T_b,T_a) % 0.46/0.65 | c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) = c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_conversep__eq_0,axiom, % 0.46/0.65 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_list__update__append_0,axiom, % 0.46/0.65 ( 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_list__update__append1_0,axiom, % 0.46/0.65 ( 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_length__rotate_0,axiom, % 0.46/0.65 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)) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_nat__less__le_1,axiom, % 0.46/0.65 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_less__not__refl_0,axiom, % 0.46/0.65 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_order__less__le_1,axiom, % 0.46/0.65 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_linorder__neq__iff_1,axiom, % 0.46/0.65 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_order__less__irrefl_0,axiom, % 0.46/0.65 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.46/0.65 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.65 | V_x = V_y ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.46/0.65 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.65 | V_x = V_y % 0.46/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_nat__neq__iff_0,axiom, % 0.46/0.65 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.46/0.65 | V_m = V_n ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_nat__less__cases_0,axiom, % 0.46/0.65 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.46/0.65 | V_m = V_n % 0.46/0.65 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_linorder__neqE__nat_0,axiom, % 0.46/0.65 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.46/0.65 | V_x = V_y ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_linorder__neqE_0,axiom, % 0.46/0.65 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.65 | V_x = V_y ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_append__replicate__commute_0,axiom, % 0.46/0.65 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) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_linorder__less__linear_0,axiom, % 0.46/0.65 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.65 | V_x = V_y % 0.46/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.46/0.65 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.65 | V_x = V_y % 0.46/0.65 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__strict__mono_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_gr0I_0,axiom, % 0.46/0.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.46/0.65 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_neq0__conv_1,axiom, % 0.46/0.65 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_length__replicate_0,axiom, % 0.46/0.65 c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ). % 0.46/0.65 % 0.46/0.65 cnf(cls_foldr_Osimps_I2_J_0,axiom, % 0.46/0.65 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)) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_conversep__conversep_0,axiom, % 0.46/0.65 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ). % 0.46/0.65 % 0.46/0.65 cnf(cls_type_Osimps_I2_J_1,axiom, % 0.46/0.65 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.46/0.65 | V_type2 = V_type2_H ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_type_Osimps_I2_J_0,axiom, % 0.46/0.65 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.46/0.65 | V_type1 = V_type1_H ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__strict__right__mono_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__less__cancel__right_1,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__less__cancel__right_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.46/0.65 | ~ 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) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__strict__left__mono_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__less__cancel__left_1,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__less__cancel__left_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.46/0.65 | ~ 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) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_length__rev_0,axiom, % 0.46/0.65 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)) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_xt1_I9_J_0,axiom, % 0.46/0.65 ( ~ class_Orderings_Oorder(T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.46/0.65 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_accp_Ocases_0,axiom, % 0.46/0.65 ( c_Wellfounded_Oaccp(V_r,V_y,T_a) % 0.46/0.65 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a)) % 0.46/0.65 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_order__less__asym_0,axiom, % 0.46/0.65 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_accp__downward_0,axiom, % 0.46/0.65 ( c_Wellfounded_Oaccp(V_r,V_a,T_a) % 0.46/0.65 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) % 0.46/0.65 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_order__less__asym_H_0,axiom, % 0.46/0.65 ( ~ class_Orderings_Opreorder(T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.46/0.65 | ~ 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) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__neg__neg_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.46/0.65 | ~ 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) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_even__less__0__iff_0,axiom, % 0.46/0.65 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.46/0.65 | ~ 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) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_even__less__0__iff_1,axiom, % 0.46/0.65 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_add__pos__pos_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.46/0.65 | 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) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_pos__add__strict_0,axiom, % 0.46/0.65 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.46/0.65 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.46/0.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_replicate__empty_1,axiom, % 0.46/0.65 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_length__0__conv_1,axiom, % 0.46/0.65 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_empty__replicate_1,axiom, % 0.46/0.65 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_replicate__empty_0,axiom, % 0.46/0.65 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a) % 0.46/0.65 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_empty__replicate_0,axiom, % 0.46/0.65 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a) % 0.46/0.65 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_length__0__conv_0,axiom, % 0.46/0.65 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.46/0.65 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_replicate__app__Cons__same_0,axiom, % 0.46/0.65 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) ). % 0.46/0.65 % 0.46/0.65 cnf(cls_foldr__conv__foldl_0,axiom, % 0.46/0.65 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.46/0.66 | 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_filter__replicate_1,axiom, % 0.46/0.66 ( c_List_Ofilter(V_P,c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Olist_ONil(T_a) % 0.46/0.66 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_App_0,axiom, % 0.46/0.66 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U) % 0.46/0.66 | ~ c_Type_Otyping(V_env,V_t,V_T) % 0.46/0.66 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_subst__Var_1,axiom, % 0.46/0.66 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.46/0.66 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_subst__Var_2,axiom, % 0.46/0.66 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.46/0.66 | V_i = V_k % 0.46/0.66 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_subst__lt_0,axiom, % 0.46/0.66 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j) % 0.46/0.66 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_list__app__typeI_0,axiom, % 0.46/0.66 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) % 0.46/0.66 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.46/0.66 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_fun__upds__append__drop_0,axiom, % 0.46/0.66 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) % 0.46/0.66 | 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_fun__upds__append2__drop_0,axiom, % 0.46/0.66 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) % 0.46/0.66 | 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.46/0.66 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.46/0.66 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_liftn_Osimps_I1_J_0,axiom, % 0.46/0.66 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.46/0.66 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_replicate__append__same_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Cons__eq__filter__iff_5,axiom, % 0.46/0.66 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.46/0.66 | hBOOL(hAPP(V_P,c_List_Osko__List__XCons__eq__filter__iff__1__3(V_P,V_xa,T_a))) % 0.46/0.66 | 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_filter__eq__Cons__iff_5,axiom, % 0.46/0.66 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.46/0.66 | hBOOL(hAPP(V_P,c_List_Osko__List__Xfilter__eq__Cons__iff__1__3(V_P,V_xa,T_a))) % 0.46/0.66 | 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_double__induction__lemma_0,axiom, % 0.46/0.66 ( ~ 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) % 0.46/0.66 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB) % 0.46/0.66 | 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_list__update__length_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_var__app__typesE_0,axiom, % 0.46/0.66 ( 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)) % 0.46/0.66 | ~ 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_var__app__types_0,axiom, % 0.46/0.66 ( 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) % 0.46/0.66 | ~ 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) % 0.46/0.66 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.46/0.66 | ~ 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_concat_Oinduct_1,axiom, % 0.46/0.66 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_take_Oinduct_1,axiom, % 0.46/0.66 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_map_Oinduct_1,axiom, % 0.46/0.66 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_list_Oinduct_1,axiom, % 0.46/0.66 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_dropWhile_Oinduct_1,axiom, % 0.46/0.66 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_remove1_Oinduct_1,axiom, % 0.46/0.66 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_distinct_Oinduct_1,axiom, % 0.46/0.66 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_list__app__typeD_1,axiom, % 0.46/0.66 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts)) % 0.46/0.66 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_list__app__typeE_1,axiom, % 0.46/0.66 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts)) % 0.46/0.66 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_substn_Osimps_I1_J_1,axiom, % 0.46/0.66 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.46/0.66 | 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)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_9,axiom, % 0.46/0.66 ( 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) % 0.46/0.66 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a))) % 0.46/0.66 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_6,axiom, % 0.46/0.66 ( 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) % 0.46/0.66 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a)) % 0.46/0.66 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_types__snocE_1,axiom, % 0.46/0.66 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xtypes__snocE__1__1(V_Ts,V_e,V_t,V_ts)) % 0.46/0.66 | ~ 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_10,axiom, % 0.46/0.66 ( 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))) % 0.46/0.66 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a))) % 0.46/0.66 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_0,axiom, % 0.46/0.66 ( 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) % 0.46/0.66 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a)) % 0.46/0.66 | 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) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_3,axiom, % 0.46/0.66 ( 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) % 0.46/0.66 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a))) % 0.46/0.66 | 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) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_7,axiom, % 0.46/0.66 ( 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))) % 0.46/0.66 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a)) % 0.46/0.66 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_4,axiom, % 0.46/0.66 ( 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))) % 0.46/0.66 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a))) % 0.46/0.66 | 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) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_types__snocE_2,axiom, % 0.46/0.66 ( c_Type_Otyping(V_e,V_t,c_Type_Osko__Type__Xtypes__snocE__1__2(V_Ts,V_e,V_t,V_ts)) % 0.46/0.66 | ~ 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_1,axiom, % 0.46/0.66 ( 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))) % 0.46/0.66 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a)) % 0.46/0.66 | 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) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_lem_5,axiom, % 0.46/0.66 ( ~ 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))) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | hBOOL(hAPP(V_P,V_t)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Apps__dB__induct_5,axiom, % 0.46/0.66 ( hBOOL(hAPP(V_P,V_t)) % 0.46/0.66 | ~ 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))) % 0.46/0.66 | ~ 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))) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_rtrancl__beta__AppL_0,axiom, % 0.46/0.66 ( 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))) % 0.46/0.66 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_map__eq__Cons__conv_3,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Cons__eq__map__conv_3,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_map_Osimps_I2_J_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_list_Osimps_I5_J_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_remove1_Osimps_I2_J_0,axiom, % 0.46/0.66 c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ). % 0.46/0.66 % 0.46/0.66 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.46/0.66 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.46/0.66 | ~ class_Int_Onumber__ring(T_a) % 0.46/0.66 | 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) % 0.46/0.66 | V_y = V_z ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_add__imp__eq_0,axiom, % 0.46/0.66 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.46/0.66 | 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) % 0.46/0.66 | V_b = V_c ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_add__left__cancel_0,axiom, % 0.46/0.66 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.46/0.66 | 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) % 0.46/0.66 | V_b = V_c ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_add__right__cancel_0,axiom, % 0.46/0.66 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.46/0.66 | 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) % 0.46/0.66 | V_b = V_c ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Cons__eq__append__conv_5,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Cons__eq__appendI_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Cons__step1__Cons_0,axiom, % 0.46/0.66 ( V_x = V_y % 0.46/0.66 | hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 0.46/0.66 | ~ 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_sorted__Cons_0,axiom, % 0.46/0.66 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.66 | c_List_Olinorder__class_Osorted(V_xs,T_a) % 0.46/0.66 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.46/0.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.66 | 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)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_rtrancl__beta__App_0,axiom, % 0.46/0.66 ( 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))) % 0.46/0.66 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) % 0.46/0.66 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_rev__eq__Cons__iff_1,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_subject__reduction_H_0,axiom, % 0.46/0.66 ( c_Type_Otyping(V_e,V_t_H,V_T) % 0.46/0.66 | ~ c_Type_Otyping(V_e,V_t,V_T) % 0.46/0.66 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_subst__lift_0,axiom, % 0.46/0.66 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ). % 0.46/0.66 % 0.46/0.66 cnf(cls_lift__preserves__beta_0,axiom, % 0.46/0.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i))) % 0.46/0.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_not__Cons__self2_0,axiom, % 0.46/0.66 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ). % 0.46/0.66 % 0.46/0.66 cnf(cls_not__Cons__self_0,axiom, % 0.46/0.66 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_list__update__code_I2_J_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Cons__eq__append__conv_4,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_map__update_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_singleton__rev__conv_1,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Snoc__step1__SnocD_0,axiom, % 0.46/0.66 ( V_ys = V_xs % 0.46/0.66 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.46/0.66 | ~ 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) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_sorted_Osimps_I2_J_0,axiom, % 0.46/0.66 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.66 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_rtranclp__idemp_0,axiom, % 0.46/0.66 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.46/0.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.46/0.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.46/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.46/0.66 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.46/0.66 | ~ class_Int_Onumber__ring(T_a) % 0.46/0.66 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.46/0.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.46/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_add__0__left_0,axiom, % 0.46/0.66 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.46/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.46/0.66 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.46/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.46/0.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.46/0.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_abs_0,axiom, % 0.46/0.66 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t))) % 0.46/0.66 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_rev__append_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_monoid__add_Oadd__0__right_0,axiom, % 0.46/0.66 ( hAPP(hAPP(V_plus,V_a),V_zero) = V_a % 0.46/0.66 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_monoid__add_Oadd__0__left_0,axiom, % 0.46/0.66 ( hAPP(hAPP(V_plus,V_zero),V_a) = V_a % 0.46/0.66 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_filter__append_0,axiom, % 0.46/0.66 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) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_IT_Ocases_2,axiom, % 0.46/0.66 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a))) % 0.46/0.66 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a)) % 0.46/0.66 | 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) % 0.46/0.66 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_append__is__Nil__conv_2,axiom, % 0.46/0.66 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_map__is__Nil__conv_0,axiom, % 0.46/0.66 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a) % 0.46/0.66 | V_xs = c_List_Olist_ONil(T_b) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_Nil__is__rev__conv_1,axiom, % 0.46/0.66 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_remdups__eq__nil__right__iff_1,axiom, % 0.46/0.66 c_List_Olist_ONil(T_a) = c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_self__append__conv2_0,axiom, % 0.46/0.66 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a) % 0.46/0.66 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_append__self__conv2_0,axiom, % 0.46/0.66 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys % 0.46/0.66 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_self__append__conv_0,axiom, % 0.46/0.66 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a) % 0.46/0.66 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_append__self__conv_0,axiom, % 0.46/0.66 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs % 0.46/0.66 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_remdups__eq__nil__iff_0,axiom, % 0.46/0.66 ( c_List_Oremdups(V_x,T_a) != c_List_Olist_ONil(T_a) % 0.46/0.66 | V_x = c_List_Olist_ONil(T_a) ) ). % 0.46/0.66 % 0.46/0.66 cnf(cls_rotate__is__Nil__conv_0,axiom, % 0.46/0.66 ( c_List_Orotate(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a) % 0.46/0.66 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Nil__is__rev__conv_0,axiom, % 0.46/0.67 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a) % 0.46/0.67 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Osimps_I2_J_0,axiom, % 0.46/0.67 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__is__Nil__conv_1,axiom, % 0.46/0.67 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.46/0.67 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__is__Nil__conv_0,axiom, % 0.46/0.67 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.46/0.67 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Nil__is__append__conv_1,axiom, % 0.46/0.67 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.46/0.67 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Nil__is__append__conv_0,axiom, % 0.46/0.67 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.46/0.67 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_not__step1__Nil_0,axiom, % 0.46/0.67 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_not__Nil__step1_0,axiom, % 0.46/0.67 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_remdups__eq__nil__iff_1,axiom, % 0.46/0.67 c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Nil__is__map__conv_0,axiom, % 0.46/0.67 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a) % 0.46/0.67 | V_xs = c_List_Olist_ONil(T_b) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_self__append__conv2_1,axiom, % 0.46/0.67 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__Nil_0,axiom, % 0.46/0.67 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ). % 0.46/0.67 % 0.46/0.67 cnf(cls_self__append__conv_1,axiom, % 0.46/0.67 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_eq__Nil__appendI_0,axiom, % 0.46/0.67 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__Nil2_0,axiom, % 0.46/0.67 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ). % 0.46/0.67 % 0.46/0.67 cnf(cls_listsp_ONil_0,axiom, % 0.46/0.67 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Osplit_0,axiom, % 0.46/0.67 ( ~ hBOOL(hAPP(V_P,c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(t_b),t_a,t_b))) % 0.46/0.67 | hBOOL(hAPP(V_P,V_f1)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_map__is__Nil__conv_1,axiom, % 0.46/0.67 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rtrancl__beta__AppR_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__Cons_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__eq__Cons__conv_5,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_sorted_Osimps_I3_J_1,axiom, % 0.46/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.67 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a) % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__eq__Cons__iff_0,axiom, % 0.46/0.67 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__singleton__conv_1,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Snoc__step1__SnocD_1,axiom, % 0.46/0.67 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 0.46/0.67 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev_Osimps_I2_J_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Cons__eq__filterD_2,axiom, % 0.46/0.67 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Ofilter(V_P,V_ys,T_a) % 0.46/0.67 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_add__cancel__21_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.46/0.67 | 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) % 0.46/0.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.46/0.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.67 | 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.46/0.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.67 | 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.46/0.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.46/0.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.46/0.67 | 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.46/0.67 | 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.46/0.67 | 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_add__cancel__21_1,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.46/0.67 | 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.46/0.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_remdups__filter_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_double__eq__0__iff_1,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_filter_Osimps_I2_J_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_singleton__rev__conv_0,axiom, % 0.46/0.67 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a) % 0.46/0.67 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_substn__subst__n_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__step1I_0,axiom, % 0.46/0.67 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__step1I_1,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rtrancl__beta__Abs_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__in__listsp__conv_0,axiom, % 0.46/0.67 ( c_List_Olistsp(V_A,V_xs,T_a) % 0.46/0.67 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__in__listsp__conv_1,axiom, % 0.46/0.67 ( c_List_Olistsp(V_A,V_ys,T_a) % 0.46/0.67 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I12_J_0,axiom, % 0.46/0.67 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_subst__preserves__beta_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Cons__step1__Cons_2,axiom, % 0.46/0.67 ( V_x = V_y % 0.46/0.67 | V_xs = V_ys % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Cons__step1__Cons_4,axiom, % 0.46/0.67 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa)) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__map_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__same__eq_0,axiom, % 0.46/0.67 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a) % 0.46/0.67 | V_ys = V_zs ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_same__append__eq_0,axiom, % 0.46/0.67 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a) % 0.46/0.67 | V_ys = V_zs ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rtranclp_Ortrancl__refl_0,axiom, % 0.46/0.67 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Nitpick_Ortranclp__def_1,axiom, % 0.46/0.67 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rtranclp__trans_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z)) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z)) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_filter__eq__ConsD_2,axiom, % 0.46/0.67 ( c_List_Ofilter(V_P,V_ys,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a) % 0.46/0.67 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_IT_Ocases_8,axiom, % 0.46/0.67 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a))) % 0.46/0.67 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a)) % 0.46/0.67 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB) % 0.46/0.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rotate__map_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_subst__preserves__beta2_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__swap_0,axiom, % 0.46/0.67 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__swap_1,axiom, % 0.46/0.67 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__rev__ident_0,axiom, % 0.46/0.67 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ). % 0.46/0.67 % 0.46/0.67 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.46/0.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.46/0.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Snoc__step1__SnocD_3,axiom, % 0.46/0.67 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 0.46/0.67 | V_y = V_x % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__singleton__conv_0,axiom, % 0.46/0.67 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) % 0.46/0.67 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.46/0.67 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.46/0.67 | ~ class_Int_Onumber__ring(T_a) % 0.46/0.67 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 0.46/0.67 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_subst__preserves__beta_H_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_subst__preserves__beta2_H_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_double__eq__0__iff_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.46/0.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.46/0.67 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_r__into__rtranclp_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_foldl__absorb0_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_listrelp_OCons_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | ~ c_List_Olistrelp(V_r,V_xs,V_ys,T_a) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.46/0.67 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.46/0.67 | V_dB = V_dB_H ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_remove1_Osimps_I2_J_1,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | V_x = V_y ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_IT_Ocases_11,axiom, % 0.46/0.67 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a))) % 0.46/0.67 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a))) % 0.46/0.67 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB) % 0.46/0.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_beta_0,axiom, % 0.46/0.67 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)))) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_lift__preserves__beta_H_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Cons__step1__Cons_3,axiom, % 0.46/0.67 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.46/0.67 | V_xs = V_ys % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_semigroup__add_Oadd__assoc_0,axiom, % 0.46/0.67 ( 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)) % 0.46/0.67 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_map__append_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_remove1__filter__not_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__is__rev__conv_0,axiom, % 0.46/0.67 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a) % 0.46/0.67 | V_xs = V_ys ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Snoc__step1__SnocD_2,axiom, % 0.46/0.67 ( V_ys = V_xs % 0.46/0.67 | V_y = V_x % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__in__listsp__conv_2,axiom, % 0.46/0.67 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) % 0.46/0.67 | ~ c_List_Olistsp(V_A,V_ys,T_a) % 0.46/0.67 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Orecs_I3_J_0,axiom, % 0.46/0.67 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)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_liftn__0_0,axiom, % 0.46/0.67 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ). % 0.46/0.67 % 0.46/0.67 cnf(cls_semigroup__add__class_Oaxioms_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 0.46/0.67 | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(T_a),T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_substn__subst__0_0,axiom, % 0.46/0.67 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)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osplit_2,axiom, % 0.46/0.67 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a))) % 0.46/0.67 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osplit__asm_2,axiom, % 0.46/0.67 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a))) % 0.46/0.67 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__eq__Cons__conv_4,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Oinject_0,axiom, % 0.46/0.67 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.46/0.67 | V_a = V_a_H ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Oinject_1,axiom, % 0.46/0.67 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.46/0.67 | V_list = V_list_H ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_subject__reduction_0,axiom, % 0.46/0.67 ( c_Type_Otyping(V_e,V_t_H,V_T) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H)) % 0.46/0.67 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Cons__step1__Cons_1,axiom, % 0.46/0.67 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.46/0.67 | hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Cons__step1__Cons_5,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_sorted__append_0,axiom, % 0.46/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.67 | c_List_Olinorder__class_Osorted(V_xs,T_a) % 0.46/0.67 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_sorted__append_1,axiom, % 0.46/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.67 | c_List_Olinorder__class_Osorted(V_ys,T_a) % 0.46/0.67 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list__update__swap_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | V_i = V_i_H ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_sorted__remdups_0,axiom, % 0.46/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.67 | c_List_Olinorder__class_Osorted(c_List_Oremdups(V_l,T_a),T_a) % 0.46/0.67 | ~ c_List_Olinorder__class_Osorted(V_l,T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_filter_Osimps_I2_J_1,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__filter_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append1__eq__conv_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | V_xs = V_ys ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append1__eq__conv_1,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | V_x = V_y ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Osplit_1,axiom, % 0.46/0.67 ( ~ 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))) % 0.46/0.67 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_a),V_list))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Osplit__asm_1,axiom, % 0.46/0.67 ( ~ 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))) % 0.46/0.67 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list__update__overwrite_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__assoc_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__eq__appendI_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__eq__append__conv2_4,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_append__eq__append__conv2_5,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_sorted__remove1_0,axiom, % 0.46/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.67 | c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a,V_xs,T_a),T_a) % 0.46/0.67 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c)) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c)) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c)) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c)) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dropWhile_Oinduct_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.67 | hBOOL(hAPP(V_P,v_sko__List__XdropWhile__Xinduct__2(V_P))) % 0.46/0.67 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_take_Oinduct_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.67 | hBOOL(hAPP(V_P,v_sko__List__Xtake__Xinduct__2(V_P))) % 0.46/0.67 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_sorted_Osimps_I1_J_0,axiom, % 0.46/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.46/0.67 | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_filtermap_Osimps_I1_J_0,axiom, % 0.46/0.67 c_List_Ofiltermap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_remdups__eq__nil__right__iff_0,axiom, % 0.46/0.67 ( c_List_Olist_ONil(T_a) != c_List_Oremdups(V_x,T_a) % 0.46/0.67 | V_x = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_filter_Osimps_I1_J_0,axiom, % 0.46/0.67 c_List_Ofilter(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list__update__nonempty_1,axiom, % 0.46/0.67 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list__update__code_I1_J_0,axiom, % 0.46/0.67 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list__update_Osimps_I1_J_0,axiom, % 0.46/0.67 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_concat_Oinduct_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.67 | hBOOL(hAPP(V_P,v_sko__List__Xconcat__Xinduct__2(V_P))) % 0.46/0.67 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_neq__Nil__conv_1,axiom, % 0.46/0.67 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Osimps_I3_J_0,axiom, % 0.46/0.67 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_remove1_Osimps_I1_J_0,axiom, % 0.46/0.67 c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_distinct_Oinduct_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.67 | hBOOL(hAPP(V_P,v_sko__List__Xdistinct__Xinduct__2(V_P))) % 0.46/0.67 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_map__upds__Nil2_0,axiom, % 0.46/0.67 c_Map_Omap__upds(V_m,V_as,c_List_Olist_ONil(T_b),T_a,T_b) = V_m ). % 0.46/0.67 % 0.46/0.67 cnf(cls_map__upds__Nil1_0,axiom, % 0.46/0.67 c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b) = V_m ). % 0.46/0.67 % 0.46/0.67 cnf(cls_remove1_Oinduct_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.67 | hBOOL(hAPP(V_P,v_sko__List__Xremove1__Xinduct__2(V_P))) % 0.46/0.67 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Osimps_I4_J_0,axiom, % 0.46/0.67 c_List_Olist_Olist__case(V_f1,V_f2,c_List_Olist_ONil(T_b),T_a,T_b) = V_f1 ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__is__Nil__conv_0,axiom, % 0.46/0.67 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a) % 0.46/0.67 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rotate__is__Nil__conv_1,axiom, % 0.46/0.67 c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list_Oinduct_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.67 | hBOOL(hAPP(V_P,v_sko__List__Xlist__Xinduct__2(V_P))) % 0.46/0.67 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Nil__is__map__conv_1,axiom, % 0.46/0.67 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Nil__is__append__conv_2,axiom, % 0.46/0.67 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_listrelp_ONil_0,axiom, % 0.46/0.67 c_List_Olistrelp(V_r,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_map_Oinduct_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,V_list)) % 0.46/0.67 | hBOOL(hAPP(V_P,v_sko__List__Xmap__Xinduct__2(V_P))) % 0.46/0.67 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_rev__is__Nil__conv_1,axiom, % 0.46/0.67 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_list__update__nonempty_0,axiom, % 0.46/0.67 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a) % 0.46/0.67 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_subst__App_0,axiom, % 0.46/0.67 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)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.46/0.67 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.46/0.67 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osplit__asm_1,axiom, % 0.46/0.67 ( ~ 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))) % 0.46/0.67 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osplit_1,axiom, % 0.46/0.67 ( ~ 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))) % 0.46/0.67 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.46/0.67 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)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I11_J_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Orecs_I2_J_0,axiom, % 0.46/0.67 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)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_appR_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_appL_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_liftn_Osimps_I2_J_0,axiom, % 0.46/0.67 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)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_substn_Osimps_I2_J_0,axiom, % 0.46/0.67 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)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_apps__preserves__beta2_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_apps__preserves__betas_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_ex__head__tail_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_semigroup__add_Ofoldl__assoc_0,axiom, % 0.46/0.67 ( 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)) % 0.46/0.67 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_foldl__assoc_0,axiom, % 0.46/0.67 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 0.46/0.67 | 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_monoid__add_Ofoldl__absorb0_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_foldl__Cons_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_foldl__append_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_lem_3,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,c_ListApplication_Osko__ListApplication__Xlem__1__3(V_P))) % 0.46/0.67 | ~ 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))) % 0.46/0.67 | hBOOL(hAPP(V_P,V_t)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_var__app__typesE_1,axiom, % 0.46/0.67 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts)) % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Apps__dB__induct_3,axiom, % 0.46/0.67 ( hBOOL(hAPP(V_P,V_t)) % 0.46/0.67 | hBOOL(hAPP(V_P,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(V_P))) % 0.46/0.67 | ~ 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))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_var__app__types_1,axiom, % 0.46/0.67 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us)) % 0.46/0.67 | ~ 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) % 0.46/0.67 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_head__Var__reduction_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | ~ 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Beta_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s)) % 0.46/0.67 | ~ 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))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_IT_Ocases_5,axiom, % 0.46/0.67 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a))) % 0.46/0.67 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a))) % 0.46/0.67 | 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) % 0.46/0.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.46/0.67 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osplit__asm_0,axiom, % 0.46/0.67 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a))) % 0.46/0.67 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osplit_0,axiom, % 0.46/0.67 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a))) % 0.46/0.67 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_subst__eq_0,axiom, % 0.46/0.67 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ). % 0.46/0.67 % 0.46/0.67 cnf(cls_beta__cases_I1_J_0,axiom, % 0.46/0.67 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Orecs_I1_J_0,axiom, % 0.46/0.67 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.46/0.67 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_typing__elims_I1_J_0,axiom, % 0.46/0.67 ( hAPP(V_e,V_i) = V_T % 0.46/0.67 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I10_J_0,axiom, % 0.46/0.67 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_typing_OVar_0,axiom, % 0.46/0.67 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_App__eq__foldl__conv_1,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | 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) % 0.46/0.67 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_lift__IT_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i))) % 0.46/0.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Lambda_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r))) % 0.46/0.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_head__Var__reduction_1,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | ~ 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)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_App__eq__foldl__conv_3,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_app__last_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_App__eq__foldl__conv_5,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_apps__eq__Abs__conv_0,axiom, % 0.46/0.67 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.46/0.67 | V_s = c_Lambda_OdB_OAbs(V_r) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | V_r = V_s ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | V_rs = V_ss ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_apps__preserves__beta_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Abs__eq__apps__conv_0,axiom, % 0.46/0.67 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.46/0.67 | c_Lambda_OdB_OAbs(V_r) = V_s ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_subst__Var__IT_0,axiom, % 0.46/0.67 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))) % 0.46/0.67 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_var__app__type__eq_0,axiom, % 0.46/0.67 ( V_T = V_U % 0.46/0.67 | ~ 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) % 0.46/0.67 | ~ 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) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Var__apps__neq__Abs__apps_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Abs__App__neq__Var__apps_0,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Abs__eq__apps__conv_1,axiom, % 0.46/0.67 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.46/0.67 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Abs__eq__apps__conv_2,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_App__eq__foldl__conv_2,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | 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) % 0.46/0.67 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_apps__eq__Abs__conv_1,axiom, % 0.46/0.67 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.46/0.67 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_apps__eq__Abs__conv_2,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_IT_OVar_0,axiom, % 0.46/0.67 ( 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))) % 0.46/0.67 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_App__eq__foldl__conv_4,axiom, % 0.46/0.67 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) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.46/0.67 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.46/0.67 | V_nat = V_nat_H ) ). % 0.46/0.67 % 0.46/0.67 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom, % 0.46/0.67 ( 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) % 0.46/0.67 | V_m = V_n ) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom, % 0.46/0.68 ( 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) % 0.46/0.68 | V_rs = V_ss ) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_App__eq__foldl__conv_0,axiom, % 0.46/0.68 ( 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) % 0.46/0.68 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.46/0.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.46/0.68 | V_dB1 = V_dB1_H ) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.46/0.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.46/0.68 | V_dB2 = V_dB2_H ) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_Var__eq__apps__conv_0,axiom, % 0.46/0.68 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.46/0.68 | c_Lambda_OdB_OVar(V_m) = V_s ) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.46/0.68 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_foldl__Nil_0,axiom, % 0.46/0.68 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ). % 0.46/0.68 % 0.46/0.68 cnf(cls_Var__eq__apps__conv_2,axiom, % 0.46/0.68 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) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_apps__eq__tail__conv_0,axiom, % 0.46/0.68 ( 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) % 0.46/0.68 | V_r = V_s ) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_Var__eq__apps__conv_1,axiom, % 0.46/0.68 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.46/0.68 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.46/0.68 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_conjecture_0,negated_conjecture, % 0.46/0.68 ~ 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))) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.46/0.68 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.46/0.68 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.46/0.68 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.46/0.68 | ~ class_Orderings_Oorder(T_1) ) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.46/0.68 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.46/0.68 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.46/0.68 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.46/0.68 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.46/0.68 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.46/0.68 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.46/0.68 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.46/0.68 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.46/0.68 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom, % 0.46/0.68 class_OrderedGroup_Osemigroup__add(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.46/0.68 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.46/0.68 class_Orderings_Opreorder(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.46/0.68 class_Orderings_Olinorder(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.46/0.68 class_Orderings_Oorder(tc_nat) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.46/0.68 class_Orderings_Opreorder(tc_bool) ). % 0.46/0.68 % 0.46/0.68 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.46/0.68 class_Orderings_Oorder(tc_bool) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.46/0.68 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 0.46/0.68 % 0.46/0.68 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.46/0.68 ( V_X = V_Y % 0.46/0.68 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 0.46/0.68 % 0.46/0.68 %------------------------------------------------------------------------------ % 0.46/0.68 %------------------------------------------- % 0.46/0.68 % Proof found % 0.46/0.68 % SZS status Theorem for theBenchmark % 0.46/0.68 % SZS output start Proof % 0.46/0.68 %ClaNum:629(EqnAxiom:210) % 0.46/0.68 %VarNum:2653(SingletonVarNum:1114) % 0.46/0.68 %MaxLitNum:4 % 0.46/0.68 %MaxfuncDepth:5 % 0.46/0.68 %SharedTerms:38 % 0.46/0.68 %goalClause: 355 % 0.46/0.68 %singleGoalClaCount:1 % 0.46/0.68 [211]P1(a1) % 0.46/0.68 [212]P19(a1) % 0.46/0.68 [213]P19(a2) % 0.46/0.68 [214]P25(a1) % 0.46/0.68 [215]P25(a2) % 0.46/0.68 [216]P20(a1) % 0.46/0.68 [217]P21(a1) % 0.46/0.68 [218]P22(a1) % 0.46/0.68 [219]P23(a1) % 0.46/0.68 [220]P26(a1) % 0.46/0.68 [221]P2(a1) % 0.46/0.68 [222]P15(a1) % 0.46/0.68 [223]P16(a1) % 0.46/0.68 [224]P27(a1) % 0.46/0.68 [225]P17(a1) % 0.46/0.68 [226]P24(a1) % 0.46/0.68 [355]~P30(f57(a10,f32(a8,f7(a63),f3(a58),a58,a58))) % 0.46/0.68 [340]~P5(x3401,x3401,a1) % 0.46/0.68 [344]~P5(x3441,f4(a1),a1) % 0.46/0.68 [229]E(f34(f3(x2291),x2291),f3(x2291)) % 0.46/0.68 [230]E(f38(f3(x2301),x2301),f3(x2301)) % 0.46/0.68 [231]E(f42(f3(x2311),f41(x2311)),f4(a1)) % 0.46/0.68 [249]E(f48(f49(x2491),x2491,x2491),f49(x2491)) % 0.46/0.68 [313]E(f32(a8,f17(x3131),f18(x3131),a58,a58),x3131) % 0.46/0.68 [350]~P5(f4(a1),f42(f3(x3501),f41(x3501)),a1) % 0.46/0.68 [237]P3(x2371,f3(x2372),x2372) % 0.46/0.68 [254]P8(x2541,f7(x2542),f57(x2541,x2542)) % 0.46/0.68 [279]P4(x2791,f3(x2792),f3(x2792),x2792) % 0.46/0.68 [334]~E(f11(x3341),f7(x3342)) % 0.46/0.68 [234]E(f38(f38(x2341,x2342),x2342),x2341) % 0.46/0.68 [235]E(f47(f47(x2351,x2352),x2352),f47(x2351,x2352)) % 0.46/0.68 [236]E(f6(f4(a1),x2361,x2362),x2361) % 0.46/0.68 [241]E(f15(x2411,f3(x2412),x2412),x2411) % 0.46/0.68 [242]E(f15(f3(x2421),x2422,x2421),x2422) % 0.46/0.68 [243]E(f16(f7(x2431),x2432,x2431),x2432) % 0.46/0.68 [245]E(f39(f4(a1),x2451,x2452),f3(x2452)) % 0.46/0.68 [246]E(f29(x2461,f3(x2462),x2462),f3(x2462)) % 0.46/0.68 [247]E(f43(x2471,f3(x2472),x2472),f3(x2472)) % 0.46/0.68 [248]E(f40(x2481,f3(x2482),x2482),f3(x2482)) % 0.46/0.68 [250]E(f42(f38(x2501,x2502),f41(x2502)),f42(x2501,f41(x2502))) % 0.46/0.68 [272]E(f16(x2721,f6(f4(a1),x2722,f4(a1)),f4(a1)),f16(x2721,x2722,f4(a1))) % 0.46/0.68 [255]P30(f57(f57(f49(x2551),x2552),x2552)) % 0.46/0.68 [265]E(f38(f30(x2651,f3(x2652),x2652),x2652),f30(x2651,f3(x2652),x2652)) % 0.46/0.68 [300]P30(f57(f57(a9,f57(f57(a8,f11(x3001)),x3002)),f16(x3001,x3002,f4(a1)))) % 0.46/0.68 [349]~P30(f57(f57(a9,f7(x3491)),x3492)) % 0.46/0.68 [342]~E(f30(x3421,x3422,x3423),x3422) % 0.46/0.68 [347]~E(f30(x3471,x3472,x3473),f3(x3473)) % 0.46/0.68 [351]~P6(x3511,x3512,f3(x3513),x3513) % 0.46/0.68 [352]~P6(x3521,f3(x3522),x3523,x3522) % 0.46/0.68 [253]E(f16(f12(x2531,x2532),x2533,x2532),x2531) % 0.46/0.68 [256]E(f39(f4(a1),x2561,x2562),f39(f4(a1),x2563,x2562)) % 0.46/0.68 [257]E(f42(f39(x2571,x2572,x2573),f41(x2573)),x2571) % 0.46/0.68 [258]E(f42(f43(x2581,x2582,x2583),f41(x2583)),f42(x2582,f41(x2583))) % 0.46/0.68 [259]E(f40(x2591,f30(x2591,x2592,x2593),x2593),x2592) % 0.46/0.68 [260]E(f48(f48(x2601,x2602,x2603),x2603,x2602),x2601) % 0.46/0.68 [261]E(f38(f39(x2611,x2612,x2613),x2613),f39(x2611,x2612,x2613)) % 0.46/0.68 [267]E(f29(x2671,f34(x2672,x2673),x2673),f34(f29(x2671,x2672,x2673),x2673)) % 0.46/0.68 [268]E(f29(x2681,f38(x2682,x2683),x2683),f38(f29(x2681,x2682,x2683),x2683)) % 0.46/0.68 [271]E(f15(f38(x2711,x2712),f38(x2713,x2712),x2712),f38(f15(x2713,x2711,x2712),x2712)) % 0.46/0.68 [274]E(f35(x2741,f3(x2742),x2742,x2743),f3(x2743)) % 0.46/0.68 [275]E(f31(x2751,f3(x2752),x2752,x2753),f3(x2753)) % 0.46/0.68 [278]E(f36(f3(x2781),x2782,x2783,x2781),f3(x2781)) % 0.46/0.68 [335]~E(f7(x3351),f57(f57(a8,x3352),x3353)) % 0.46/0.68 [336]~E(f11(x3361),f57(f57(a8,x3362),x3363)) % 0.46/0.68 [337]~E(f57(f57(a8,x3371),x3372),f7(x3373)) % 0.46/0.68 [338]~E(f57(f57(a8,x3381),x3382),f11(x3383)) % 0.46/0.68 [263]P30(f57(f57(f47(x2631,x2632),x2633),x2633)) % 0.46/0.68 [266]E(f57(f57(a8,f12(x2661,x2662)),f12(x2663,x2662)),f12(f57(f57(a8,x2661),x2663),x2662)) % 0.46/0.68 [280]E(f15(f38(x2801,x2802),f30(x2803,f3(x2802),x2802),x2802),f38(f30(x2803,x2801,x2802),x2802)) % 0.46/0.68 [292]E(f15(f39(x2921,x2922,x2923),f30(x2922,f3(x2923),x2923),x2923),f30(x2922,f39(x2921,x2922,x2923),x2923)) % 0.46/0.68 [293]E(f38(f15(f38(x2931,x2932),f30(x2933,f3(x2932),x2932),x2932),x2932),f30(x2933,x2931,x2932)) % 0.46/0.68 [331]E(f32(a8,x3311,f15(x3312,f30(x3313,f3(a58),a58),a58),a58,a58),f57(f57(a8,f32(a8,x3311,x3312,a58,a58)),x3313)) % 0.46/0.68 [286]E(f15(f15(x2861,x2862,x2863),x2864,x2863),f15(x2861,f15(x2862,x2864,x2863),x2863)) % 0.46/0.68 [288]E(f30(x2881,f15(x2882,x2883,x2884),x2884),f15(f30(x2881,x2882,x2884),x2883,x2884)) % 0.46/0.68 [289]E(f36(f30(x2891,x2892,x2893),f4(a1),x2894,x2893),f30(x2894,x2892,x2893)) % 0.46/0.68 [290]E(f15(f29(x2901,x2902,x2903),f29(x2901,x2904,x2903),x2903),f29(x2901,f15(x2902,x2904,x2903),x2903)) % 0.46/0.68 [296]E(f42(f36(x2961,x2962,x2963,x2964),f41(x2964)),f42(x2961,f41(x2964))) % 0.46/0.68 [297]E(f42(f35(x2971,x2972,x2973,x2974),f41(x2974)),f42(x2972,f41(x2973))) % 0.46/0.68 [298]E(f15(f39(x2981,x2982,x2983),f39(x2984,x2982,x2983),x2983),f15(f39(x2984,x2982,x2983),f39(x2981,x2982,x2983),x2983)) % 0.46/0.68 [302]E(f38(f35(x3021,x3022,x3023,x3024),x3024),f35(x3021,f38(x3022,x3023),x3023,x3024)) % 0.46/0.68 [308]E(f32(x3081,x3082,f3(x3083),x3084,x3083),x3082) % 0.46/0.68 [309]E(f44(x3091,x3092,f3(x3093),x3094,x3093),x3091) % 0.46/0.68 [310]E(f37(x3101,x3102,f3(x3103),x3104,x3103),x3101) % 0.46/0.68 [311]E(f33(x3111,f3(x3112),x3113,x3112,x3114),x3113) % 0.46/0.68 [312]E(f44(x3121,f3(x3122),x3123,x3122,x3124),x3121) % 0.46/0.68 [354]~E(f32(a8,f11(x3541),x3542,a58,a58),f32(a8,f7(x3543),x3544,a58,a58)) % 0.46/0.68 [294]E(f57(f57(a8,f6(x2941,x2942,x2943)),f6(x2941,x2944,x2943)),f6(x2941,f57(f57(a8,x2942),x2944),x2943)) % 0.46/0.68 [295]E(f57(f57(a8,f16(x2951,x2952,x2953)),f16(x2954,x2952,x2953)),f16(f57(f57(a8,x2951),x2954),x2952,x2953)) % 0.46/0.68 [299]E(f30(x2991,f15(f39(x2992,x2991,x2993),x2994,x2993),x2993),f15(f39(x2992,x2991,x2993),f30(x2991,x2994,x2993),x2993)) % 0.46/0.68 [353]~E(f57(f57(a8,f11(x3531)),x3532),f32(a8,f7(x3533),x3534,a58,a58)) % 0.46/0.68 [291]E(f35(x2911,f39(x2912,x2913,x2914),x2914,x2915),f39(x2912,f57(x2911,x2913),x2915)) % 0.46/0.68 [303]E(f43(x3031,f35(x3032,x3033,x3034,x3035),x3035),f35(x3032,f43(x3031,x3033,x3034),x3034,x3035)) % 0.46/0.68 [305]E(f35(x3051,f30(x3052,x3053,x3054),x3054,x3055),f30(f57(x3051,x3052),f35(x3051,x3053,x3054,x3055),x3055)) % 0.46/0.68 [306]E(f30(f57(x3061,x3062),f35(x3061,x3063,x3064,x3065),x3065),f35(x3061,f30(x3062,x3063,x3064),x3064,x3065)) % 0.46/0.68 [307]E(f36(f36(x3071,x3072,x3073,x3074),x3072,x3075,x3074),f36(x3071,x3072,x3075,x3074)) % 0.46/0.68 [317]E(f13(x3171,x3172,x3173,f7(x3174),x3175),f57(x3171,x3174)) % 0.46/0.68 [318]E(f13(x3181,x3182,x3183,f11(x3184),x3185),f57(x3183,x3184)) % 0.46/0.68 [319]E(f14(x3191,x3192,x3193,f7(x3194),x3195),f57(x3191,x3194)) % 0.46/0.68 [324]E(f15(f35(x3241,x3242,x3243,x3244),f35(x3241,x3245,x3243,x3244),x3244),f35(x3241,f15(x3242,x3245,x3243),x3243,x3244)) % 0.46/0.68 [327]E(f57(f57(x3271,x3272),f14(x3273,x3274,x3271,x3272,x3275)),f14(x3273,x3274,x3271,f11(x3272),x3275)) % 0.46/0.68 [301]E(f36(f15(x3011,f30(x3012,x3013,x3014),x3014),f42(x3011,f41(x3014)),x3015,x3014),f15(x3011,f30(x3015,x3013,x3014),x3014)) % 0.46/0.68 [323]E(f37(x3231,x3232,f30(x3233,x3234,x3235),x3236,x3235),f57(f57(x3232,x3233),x3234)) % 0.46/0.68 [325]E(f35(x3251,f36(x3252,x3253,x3254,x3255),x3255,x3256),f36(f35(x3251,x3252,x3255,x3256),x3253,f57(x3251,x3254),x3256)) % 0.46/0.68 [328]E(f33(x3281,f30(x3282,x3283,x3284),x3285,x3284,x3286),f57(f57(x3281,x3282),f33(x3281,x3283,x3285,x3284,x3286))) % 0.46/0.68 [329]E(f32(x3291,f32(x3291,x3292,x3293,x3294,x3295),x3296,x3294,x3295),f32(x3291,x3292,f15(x3293,x3296,x3295),x3294,x3295)) % 0.46/0.68 [330]E(f33(x3301,x3302,f33(x3301,x3303,x3304,x3305,x3306),x3305,x3306),f33(x3301,f15(x3302,x3303,x3305),x3304,x3305,x3306)) % 0.46/0.68 [322]E(f13(x3221,x3222,x3223,f57(f57(a8,x3224),x3225),x3226),f57(f57(x3222,x3224),x3225)) % 0.46/0.68 [326]E(f32(x3261,x3262,f30(x3263,x3264,x3265),x3266,x3265),f32(x3261,f57(f57(x3261,x3262),x3263),x3264,x3266,x3265)) % 0.46/0.68 [332]E(f57(f57(f57(f57(x3321,x3322),x3323),f14(x3324,x3321,x3325,x3322,x3326)),f14(x3324,x3321,x3325,x3323,x3326)),f14(x3324,x3321,x3325,f57(f57(a8,x3322),x3323),x3326)) % 0.46/0.68 [358]~P20(x3581)+P7(f3(x3581),x3581) % 0.46/0.68 [359]~P24(x3591)+P9(f5(x3591),x3591) % 0.46/0.68 [368]E(x3681,f4(a1))+P5(f4(a1),x3681,a1) % 0.46/0.68 [450]P12(f48(a9,a58,a58),x4501,a58)+~P30(f57(a10,x4501)) % 0.46/0.68 [465]~P12(f48(a9,a58,a58),x4651,a58)+P30(f57(a10,x4651)) % 0.46/0.68 [378]~P18(x3781)+E(f57(f57(f5(x3781),f4(x3781)),f4(x3781)),f4(x3781)) % 0.46/0.68 [379]~P30(f57(a10,x3791))+P30(f57(a10,f11(x3791))) % 0.46/0.68 [384]~P5(x3842,x3842,x3841)+~P19(x3841) % 0.46/0.68 [385]~P5(x3852,x3852,x3851)+~P25(x3851) % 0.46/0.68 [386]~P5(x3862,x3862,x3861)+~P20(x3861) % 0.46/0.68 [356]E(x3561,x3562)+~E(f7(x3561),f7(x3562)) % 0.46/0.68 [357]E(x3571,x3572)+~E(f11(x3571),f11(x3572)) % 0.46/0.68 [362]~E(f34(x3621,x3622),f3(x3622))+E(x3621,f3(x3622)) % 0.46/0.68 [363]~E(f38(x3631,x3632),f3(x3632))+E(x3631,f3(x3632)) % 0.46/0.68 [364]~P19(x3642)+P19(f62(x3641,x3642)) % 0.46/0.68 [365]~P25(x3652)+P25(f62(x3651,x3652)) % 0.46/0.68 [366]E(x3661,f3(x3662))+~E(f42(x3661,f41(x3662)),f4(a1)) % 0.46/0.68 [369]~P1(x3691)+E(f57(f57(f5(x3691),x3692),f4(x3691)),x3692) % 0.46/0.68 [370]~P27(x3701)+E(f57(f57(f5(x3701),x3702),f4(x3701)),x3702) % 0.46/0.68 [371]~P17(x3711)+E(f57(f57(f5(x3711),x3712),f4(x3711)),x3712) % 0.46/0.68 [394]E(x3941,f3(x3942))+P5(f4(a1),f42(x3941,f41(x3942)),a1) % 0.46/0.68 [397]~P5(x3971,x3972,a1)+E(f12(f7(x3971),x3972),f7(x3971)) % 0.46/0.68 [414]E(f34(x4141,x4142),x4141)+~E(f42(f34(x4141,x4142),f41(x4142)),f42(x4141,f41(x4142))) % 0.46/0.68 [416]~P30(f57(a10,x4161))+P30(f57(a10,f12(x4161,x4162))) % 0.46/0.68 [426]~P20(x4262)+P7(f30(x4261,f3(x4262),x4262),x4262) % 0.46/0.68 [457]~P30(f57(f57(a9,x4571),x4572))+P30(f57(f57(a9,f11(x4571)),f11(x4572))) % 0.46/0.68 [576]~P1(x5761)+E(f33(f5(x5761),x5762,f4(x5761),x5761,x5761),f32(f5(x5761),f4(x5761),x5762,x5761,x5761)) % 0.46/0.68 [373]~P1(x3731)+E(f57(f57(f5(x3731),f4(x3731)),x3732),x3732) % 0.46/0.68 [375]~P27(x3751)+E(f57(f57(f5(x3751),f4(x3751)),x3752),x3752) % 0.46/0.68 [376]~P17(x3761)+E(f57(f57(f5(x3761),f4(x3761)),x3762),x3762) % 0.46/0.68 [509]P30(f57(f57(f47(a9,a58),f11(x5091)),f11(x5092)))+~P30(f57(f57(f47(a9,a58),x5091),x5092)) % 0.46/0.68 [597]~P3(a10,x5972,a58)+P30(f57(a10,f32(a8,f7(x5971),x5972,a58,a58))) % 0.46/0.68 [367]E(x3671,x3672)+~E(f38(x3671,x3673),f38(x3672,x3673)) % 0.46/0.68 [382]~E(f15(x3823,x3821,x3822),x3823)+E(x3821,f3(x3822)) % 0.46/0.68 [383]~E(f15(x3831,x3833,x3832),x3833)+E(x3831,f3(x3832)) % 0.46/0.68 [388]~E(f39(x3881,x3882,x3883),f3(x3883))+E(x3881,f4(a1)) % 0.46/0.68 [391]~E(f15(x3913,x3911,x3912),f3(x3912))+E(x3911,f3(x3912)) % 0.46/0.68 [392]~E(f43(x3923,x3921,x3922),f3(x3922))+E(x3921,f3(x3922)) % 0.46/0.68 [393]~E(f15(x3931,x3933,x3932),f3(x3932))+E(x3931,f3(x3932)) % 0.46/0.68 [400]~P8(x4001,f7(x4002),x4003)+E(f57(x4001,x4002),x4003) % 0.46/0.68 [568]~E(f7(x5682),f32(a8,x5683,x5681,a58,a58))+E(x5681,f3(a58)) % 0.46/0.68 [569]~E(f11(x5692),f32(a8,x5693,x5691,a58,a58))+E(x5691,f3(a58)) % 0.46/0.68 [570]~E(f32(a8,x5702,x5701,a58,a58),f11(x5703))+E(x5701,f3(a58)) % 0.46/0.68 [571]E(x5711,f11(x5712))+~E(f32(a8,x5711,x5713,a58,a58),f11(x5712)) % 0.46/0.68 [572]E(f7(x5721),x5722)+~E(f7(x5721),f32(a8,x5722,x5723,a58,a58)) % 0.46/0.68 [573]E(f11(x5731),x5732)+~E(f11(x5731),f32(a8,x5732,x5733,a58,a58)) % 0.46/0.68 [588]E(x5881,x5882)+~E(f32(a8,x5881,x5883,a58,a58),f32(a8,x5882,x5883,a58,a58)) % 0.46/0.68 [427]~P5(x4272,x4273,a1)+E(f6(x4271,f7(x4272),x4273),f7(x4272)) % 0.46/0.68 [428]~P5(x4281,x4283,a1)+E(f16(f7(x4281),x4282,x4283),f7(x4281)) % 0.46/0.68 [441]~E(f38(x4411,x4413),f30(x4412,f3(x4413),x4413))+E(x4411,f30(x4412,f3(x4413),x4413)) % 0.46/0.68 [442]~E(f30(x4422,f3(x4423),x4423),f38(x4421,x4423))+E(x4421,f30(x4422,f3(x4423),x4423)) % 0.46/0.68 [487]~P30(f57(f57(a9,x4871),x4873))+P30(f57(f57(a9,f12(x4871,x4872)),f12(x4873,x4872))) % 0.46/0.68 [574]E(f57(f57(a8,x5741),x5742),x5743)+~E(f57(f57(a8,x5741),x5742),f32(a8,x5743,f3(a58),a58,a58)) % 0.46/0.68 [575]~P2(x5751)+E(f33(f5(x5751),x5752,x5753,x5751,x5751),f32(f5(x5751),x5753,x5752,x5751,x5751)) % 0.46/0.68 [621]~P30(f57(f57(a9,x6211),x6213))+P30(f57(f57(a9,f32(a8,x6211,x6212,a58,a58)),f32(a8,x6213,x6212,a58,a58))) % 0.46/0.68 [623]~P6(a9,x6232,x6233,a58)+P30(f57(f57(a9,f32(a8,x6231,x6232,a58,a58)),f32(a8,x6231,x6233,a58,a58))) % 0.46/0.68 [402]~P27(x4021)+E(f57(f57(f5(x4021),x4022),x4023),f57(f57(f5(x4021),x4023),x4022)) % 0.46/0.68 [403]~P17(x4031)+E(f57(f57(f5(x4031),x4032),x4033),f57(f57(f5(x4031),x4033),x4032)) % 0.46/0.68 [431]E(x4311,x4312)+~P30(f57(f57(f49(x4313),x4311),x4312)) % 0.46/0.68 [473]~P30(f57(a10,x4731))+P30(f57(a10,f16(x4731,f7(x4732),x4733))) % 0.46/0.68 [522]P30(f57(f57(f47(a9,a58),f12(x5221,x5222)),f12(x5223,x5222)))+~P30(f57(f57(f47(a9,a58),x5221),x5223)) % 0.46/0.68 [526]~P30(f57(f57(a9,x5261),x5263))+P30(f57(f57(a9,f57(f57(a8,x5261),x5262)),f57(f57(a8,x5263),x5262))) % 0.46/0.68 [527]~P30(f57(f57(a9,x5272),x5273))+P30(f57(f57(a9,f57(f57(a8,x5271),x5272)),f57(f57(a8,x5271),x5273))) % 0.46/0.68 [539]~P30(f57(f57(f47(a9,a58),x5391),x5393))+P30(f57(f57(f47(a9,a58),f57(f57(a8,x5391),x5392)),f57(f57(a8,x5393),x5392))) % 0.46/0.68 [540]~P30(f57(f57(f47(a9,a58),x5402),x5403))+P30(f57(f57(f47(a9,a58),f57(f57(a8,x5401),x5402)),f57(f57(a8,x5401),x5403))) % 0.46/0.68 [584]~P1(x5841)+E(f57(f57(f5(x5841),x5842),f33(f5(x5841),x5843,f4(x5841),x5841,x5841)),f32(f5(x5841),x5842,x5843,x5841,x5841)) % 0.46/0.68 [585]~P1(x5851)+E(f57(f57(f5(x5851),x5852),f32(f5(x5851),f4(x5851),x5853,x5851,x5851)),f32(f5(x5851),x5852,x5853,x5851,x5851)) % 0.46/0.68 [608]P30(f57(x6081,x6082))+~P30(f57(x6081,f37(x6082,x6083,f3(a60),a59,a60))) % 0.46/0.68 [622]P30(f57(f57(f47(a9,a58),f32(a8,x6221,x6222,a58,a58)),f32(a8,x6223,x6222,a58,a58)))+~P30(f57(f57(f47(a9,a58),x6221),x6223)) % 0.46/0.68 [582]~E(f32(a8,f57(f57(a8,x5821),x5822),x5823,a58,a58),x5821)+E(f32(a8,f57(f57(a8,x5821),x5822),f15(x5823,f30(x5822,f3(a58),a58),a58),a58,a58),f57(f57(a8,x5821),x5822)) % 0.46/0.68 [626]P6(a9,x6261,f28(x6262,x6261,x6263),a58)+~P30(f57(f57(a9,f32(a8,f7(x6262),x6261,a58,a58)),x6263)) % 0.46/0.68 [628]E(f32(a8,f7(x6281),f28(x6281,x6282,x6283),a58,a58),x6283)+~P30(f57(f57(a9,f32(a8,f7(x6281),x6282,a58,a58)),x6283)) % 0.46/0.68 [433]E(x4331,x4332)+~E(f15(x4333,x4331,x4334),f15(x4333,x4332,x4334)) % 0.46/0.68 [435]E(x4351,x4352)+~E(f15(x4351,x4353,x4354),f15(x4352,x4353,x4354)) % 0.46/0.68 [474]P3(x4741,x4742,x4743)+~P3(x4741,f15(x4744,x4742,x4743),x4743) % 0.46/0.68 [475]P3(x4751,x4752,x4753)+~P3(x4751,f15(x4752,x4754,x4753),x4753) % 0.46/0.68 [498]~E(f35(x4983,x4981,x4982,x4984),f3(x4984))+E(x4981,f3(x4982)) % 0.46/0.68 [499]~E(f36(x4991,x4993,x4994,x4992),f3(x4992))+E(x4991,f3(x4992)) % 0.46/0.68 [594]P13(x5941,x5942,f53(x5943,x5941,x5944,x5942))+~P8(x5941,f32(a8,x5944,x5942,a58,a58),x5943) % 0.46/0.68 [595]P13(x5951,x5952,f54(x5953,x5951,x5954,x5952))+~P8(x5951,f32(a8,x5954,x5952,a58,a58),x5953) % 0.46/0.68 [405]E(x4051,x4052)+~E(f57(f57(a50,x4053),x4051),f57(f57(a50,x4054),x4052)) % 0.46/0.68 [406]E(x4061,x4062)+~E(f57(f57(a8,x4063),x4061),f57(f57(a8,x4064),x4062)) % 0.46/0.68 [407]E(x4071,x4072)+~E(f57(f57(a50,x4071),x4073),f57(f57(a50,x4072),x4074)) % 0.46/0.68 [408]E(x4081,x4082)+~E(f57(f57(a8,x4081),x4083),f57(f57(a8,x4082),x4084)) % 0.46/0.68 [417]~P10(x4172,x4171,x4174)+E(f57(f57(x4171,x4172),x4173),x4173) % 0.46/0.68 [418]~P10(x4183,x4181,x4184)+E(f57(f57(x4181,x4182),x4183),x4182) % 0.46/0.68 [451]P30(f57(x4511,x4513))+E(f29(x4511,f39(x4512,x4513,x4514),x4514),f3(x4514)) % 0.46/0.68 [461]P30(f57(x4611,x4612))+E(f29(x4611,f30(x4612,x4613,x4614),x4614),f29(x4611,x4613,x4614)) % 0.46/0.68 [462]P30(f57(x4622,x4621))+E(f40(x4621,f29(x4622,x4623,x4624),x4624),f29(x4622,x4623,x4624)) % 0.46/0.68 [464]~P30(f57(x4641,x4643))+E(f29(x4641,f39(x4642,x4643,x4644),x4644),f39(x4642,x4643,x4644)) % 0.46/0.68 [483]E(x4831,x4832)+E(f30(x4832,f40(x4831,x4833,x4834),x4834),f40(x4831,f30(x4832,x4833,x4834),x4834)) % 0.46/0.68 [494]~P30(f57(x4942,x4941))+E(f30(x4941,f29(x4942,x4943,x4944),x4944),f29(x4942,f30(x4941,x4943,x4944),x4944)) % 0.46/0.68 [538]~P30(f57(f57(a9,x5381),x5384))+P30(f57(f57(a9,f16(x5381,x5382,x5383)),f16(x5384,x5382,x5383))) % 0.46/0.68 [546]P30(f57(f57(f47(a9,a58),f16(x5461,x5462,x5463)),f16(x5461,x5464,x5463)))+~P30(f57(f57(a9,x5462),x5464)) % 0.46/0.68 [590]E(x5901,x5902)+~E(f32(a8,f7(x5903),x5901,a58,a58),f32(a8,f7(x5904),x5902,a58,a58)) % 0.46/0.68 [591]E(x5911,x5912)+~E(f32(a8,f11(x5913),x5911,a58,a58),f32(a8,f11(x5914),x5912,a58,a58)) % 0.46/0.68 [592]E(x5921,x5922)+~E(f32(a8,f7(x5921),x5923,a58,a58),f32(a8,f7(x5922),x5924,a58,a58)) % 0.46/0.68 [593]E(x5931,x5932)+~E(f32(a8,f11(x5931),x5933,a58,a58),f32(a8,f11(x5932),x5934,a58,a58)) % 0.46/0.68 [596]P13(x5961,x5962,f55(x5963,x5961,x5964,x5962))+~P8(x5961,f32(a8,f7(x5964),x5962,a58,a58),x5963) % 0.46/0.68 [604]~P8(x6041,f32(a8,x6042,x6044,a58,a58),x6043)+P8(x6041,x6042,f33(a50,f53(x6043,x6041,x6042,x6044),x6043,a61,a61)) % 0.46/0.68 [605]~P8(x6051,f32(a8,x6052,x6054,a58,a58),x6053)+P8(x6051,x6052,f33(a50,f54(x6053,x6051,x6052,x6054),x6053,a61,a61)) % 0.46/0.68 [606]~P8(x6061,f32(a8,f7(x6062),x6064,a58,a58),x6063)+P8(x6061,f7(x6062),f33(a50,f55(x6063,x6061,x6062,x6064),x6063,a61,a61)) % 0.46/0.68 [472]~E(f38(x4721,x4723),f30(x4724,x4722,x4723))+E(x4721,f15(f38(x4722,x4723),f30(x4724,f3(x4723),x4723),x4723)) % 0.46/0.68 [476]~P30(f57(f57(x4761,x4763),x4764))+P30(f57(f57(f47(x4761,x4762),x4763),x4764)) % 0.46/0.68 [552]P30(f57(f57(f47(a9,a58),f16(x5521,x5522,x5523)),f16(x5524,x5522,x5523)))+~P30(f57(f57(f47(a9,a58),x5521),x5524)) % 0.46/0.68 [553]P30(f57(f57(f47(a9,a58),f16(x5531,x5532,x5533)),f16(x5531,x5534,x5533)))+~P30(f57(f57(f47(a9,a58),x5532),x5534)) % 0.46/0.68 [555]P8(x5551,x5552,f51(x5553,x5551,x5552,x5554))+~P13(x5551,f15(x5554,f30(x5552,f3(a58),a58),a58),x5553) % 0.46/0.68 [556]P13(x5561,x5562,f52(x5563,x5561,x5564,x5562))+~P13(x5561,f15(x5562,f30(x5564,f3(a58),a58),a58),x5563) % 0.46/0.68 [477]~P27(x4771)+E(f57(f57(f5(x4771),x4772),f57(f57(f5(x4771),x4773),x4774)),f57(f57(f5(x4771),x4773),f57(f57(f5(x4771),x4772),x4774))) % 0.46/0.68 [478]~P17(x4781)+E(f57(f57(f5(x4781),x4782),f57(f57(f5(x4781),x4783),x4784)),f57(f57(f5(x4781),x4783),f57(f57(f5(x4781),x4782),x4784))) % 0.46/0.68 [479]~P14(x4791)+E(f57(f57(f5(x4791),x4792),f57(f57(f5(x4791),x4793),x4794)),f57(f57(f5(x4791),x4793),f57(f57(f5(x4791),x4792),x4794))) % 0.46/0.68 [558]~P30(f57(f57(f47(x5581,x5582),x5584),x5583))+P30(f57(f57(f47(f48(x5581,x5582,x5582),x5582),x5583),x5584)) % 0.46/0.68 [567]P30(f57(f57(f47(x5671,x5672),x5673),x5674))+~P30(f57(f57(f47(f48(x5671,x5672,x5672),x5672),x5674),x5673)) % 0.46/0.68 [589]~P24(x5891)+E(f32(f5(x5891),f57(f57(f5(x5891),x5892),x5893),x5894,x5891,x5891),f57(f57(f5(x5891),x5892),f32(f5(x5891),x5893,x5894,x5891,x5891))) % 0.46/0.68 [503]~P2(x5031)+E(f57(f57(f5(x5031),f57(f57(f5(x5031),x5032),x5033)),x5034),f57(f57(f5(x5031),x5032),f57(f57(f5(x5031),x5033),x5034))) % 0.46/0.68 [504]~P27(x5041)+E(f57(f57(f5(x5041),f57(f57(f5(x5041),x5042),x5043)),x5044),f57(f57(f5(x5041),x5042),f57(f57(f5(x5041),x5043),x5044))) % 0.46/0.68 [505]~P17(x5051)+E(f57(f57(f5(x5051),f57(f57(f5(x5051),x5052),x5053)),x5054),f57(f57(f5(x5051),x5052),f57(f57(f5(x5051),x5053),x5054))) % 0.46/0.68 [512]~P27(x5121)+E(f57(f57(f5(x5121),f57(f57(f5(x5121),x5122),x5123)),x5124),f57(f57(f5(x5121),f57(f57(f5(x5121),x5122),x5124)),x5123)) % 0.46/0.68 [432]E(x4321,x4322)+~E(f30(x4323,x4321,x4324),f30(x4325,x4322,x4324)) % 0.46/0.68 [434]E(x4341,x4342)+~E(f39(x4341,x4343,x4344),f39(x4342,x4345,x4344)) % 0.46/0.68 [436]E(x4361,x4362)+~E(f30(x4361,x4363,x4364),f30(x4362,x4365,x4364)) % 0.46/0.68 [453]~E(f30(x4532,x4533,x4534),f29(x4531,x4535,x4534))+P30(f57(x4531,x4532)) % 0.46/0.68 [541]~P6(x5411,x5412,x5415,x5414)+P6(x5411,f15(x5412,x5413,x5414),f15(x5415,x5413,x5414),x5414) % 0.46/0.68 [542]~P6(x5421,x5423,x5425,x5424)+P6(x5421,f15(x5422,x5423,x5424),f15(x5422,x5425,x5424),x5424) % 0.46/0.68 [543]~P6(x5431,x5433,x5435,x5434)+P6(x5431,f30(x5432,x5433,x5434),f30(x5432,x5435,x5434),x5434) % 0.46/0.68 [523]P6(x5231,f30(x5232,x5233,x5234),f30(x5235,x5233,x5234),x5234)+~P30(f57(f57(x5231,x5232),x5235)) % 0.46/0.68 [535]~E(f35(x5354,x5351,x5352,x5355),f35(x5354,x5353,x5352,x5355))+E(f42(x5351,f41(x5352)),f42(x5353,f41(x5352))) % 0.46/0.68 [550]~P5(x5504,f42(x5501,f41(x5503)),a1)+E(f36(f15(x5501,x5502,x5503),x5504,x5505,x5503),f15(f36(x5501,x5504,x5505,x5503),x5502,x5503)) % 0.46/0.68 [586]~P10(x5863,x5861,x5865)+E(f57(f57(x5861,x5862),f32(x5861,x5863,x5864,x5865,x5865)),f32(x5861,x5862,x5864,x5865,x5865)) % 0.46/0.68 [520]E(x5201,x5202)+~E(f15(x5203,f30(x5201,f3(x5204),x5204),x5204),f15(x5205,f30(x5202,f3(x5204),x5204),x5204)) % 0.46/0.68 [521]E(x5211,x5212)+~E(f15(x5211,f30(x5213,f3(x5214),x5214),x5214),f15(x5212,f30(x5215,f3(x5214),x5214),x5214)) % 0.46/0.68 [529]~P30(f57(f57(x5291,x5295),x5294))+P30(f57(f57(f48(x5291,x5292,x5293),x5294),x5295)) % 0.46/0.68 [545]P30(f57(f57(x5451,x5452),x5453))+~P30(f57(f57(f48(x5451,x5454,x5455),x5453),x5452)) % 0.46/0.68 [587]~P9(x5871,x5875)+E(f32(x5871,f57(f57(x5871,x5872),x5873),x5874,x5875,x5875),f57(f57(x5871,x5872),f32(x5871,x5873,x5874,x5875,x5875))) % 0.46/0.68 [610]P30(f57(x6101,f57(x6102,x6103)))+~P30(f57(x6101,f13(x6104,x6105,x6102,f11(x6103),a59))) % 0.46/0.68 [612]P30(f57(x6121,f57(x6122,x6123)))+~P30(f57(x6121,f13(x6122,x6124,x6125,f7(x6123),a59))) % 0.46/0.68 [619]P30(f57(x6191,f57(f57(x6192,x6193),x6194)))+~P30(f57(x6191,f37(x6195,x6192,f30(x6193,x6194,a60),a59,a60))) % 0.46/0.68 [485]~P9(x4851,x4855)+E(f57(f57(x4851,f57(f57(x4851,x4852),x4853)),x4854),f57(f57(x4851,x4852),f57(f57(x4851,x4853),x4854))) % 0.46/0.68 [531]~P27(x5311)+E(f57(f57(f5(x5311),f57(f57(f5(x5311),x5312),x5313)),f57(f57(f5(x5311),x5314),x5315)),f57(f57(f5(x5311),f57(f57(f5(x5311),x5312),x5314)),f57(f57(f5(x5311),x5313),x5315))) % 0.46/0.68 [562]E(x5621,x5622)+E(f36(f36(x5623,x5621,x5624,x5625),x5622,x5626,x5625),f36(f36(x5623,x5622,x5626,x5625),x5621,x5624,x5625)) % 0.46/0.68 [577]~E(f42(x5772,f41(x5776)),f42(x5773,f41(x5775)))+E(f44(x5771,x5772,f15(x5773,x5774,x5775),x5776,x5775),f44(x5771,x5772,x5773,x5776,x5775)) % 0.46/0.68 [578]~E(f42(x5782,f41(x5784)),f42(x5785,f41(x5786)))+E(f44(x5781,f15(x5782,x5783,x5784),x5785,x5784,x5786),f44(x5781,x5782,x5785,x5784,x5786)) % 0.46/0.68 [617]P30(f57(x6171,f57(f57(x6172,x6173),x6174)))+~P30(f57(x6171,f13(x6175,x6172,x6176,f57(f57(a8,x6173),x6174),a59))) % 0.46/0.68 [399]E(x3991,x3992)+P5(x3992,x3991,a1)+P5(x3991,x3992,a1) % 0.46/0.68 [372]~P20(x3722)+~P7(x3721,x3722)+P7(f34(x3721,x3722),x3722) % 0.46/0.68 [377]~P28(x3771)+~P11(x3771)+E(f57(f57(f5(x3771),x3772),f4(x3771)),x3772) % 0.46/0.68 [419]P30(f57(x4191,x4192))+P30(f57(x4191,f64(x4191)))+~P30(f57(x4191,f3(a59))) % 0.46/0.68 [420]P30(f57(x4201,x4202))+P30(f57(x4201,f72(x4201)))+~P30(f57(x4201,f3(a59))) % 0.46/0.68 [421]P30(f57(x4211,x4212))+P30(f57(x4211,f73(x4211)))+~P30(f57(x4211,f3(a59))) % 0.46/0.68 [422]P30(f57(x4221,x4222))+P30(f57(x4221,f74(x4221)))+~P30(f57(x4221,f3(a59))) % 0.46/0.68 [423]P30(f57(x4231,x4232))+P30(f57(x4231,f75(x4231)))+~P30(f57(x4231,f3(a59))) % 0.46/0.68 [424]P30(f57(x4241,x4242))+P30(f57(x4241,f81(x4241)))+~P30(f57(x4241,f3(a59))) % 0.46/0.68 [425]P30(f57(x4251,x4252))+P30(f57(x4251,f76(x4251)))+~P30(f57(x4251,f3(a59))) % 0.46/0.68 [395]~P18(x3952)+E(x3951,f4(x3952))+~E(f57(f57(f5(x3952),x3951),x3951),f4(x3952)) % 0.46/0.68 [466]~P18(x4661)+~P5(f4(x4661),x4662,x4661)+P5(f4(x4661),f57(f57(f5(x4661),x4662),x4662),x4661) % 0.46/0.68 [467]~P29(x4671)+~P5(x4672,f4(x4671),x4671)+P5(f57(f57(f5(x4671),x4672),x4672),f4(x4671),x4671) % 0.46/0.68 [468]~P18(x4681)+~P5(x4682,f4(x4681),x4681)+P5(f57(f57(f5(x4681),x4682),x4682),f4(x4681),x4681) % 0.46/0.68 [480]~P29(x4802)+P5(x4801,f4(x4802),x4802)+~P5(f57(f57(f5(x4802),x4801),x4801),f4(x4802),x4802) % 0.46/0.68 [481]~P18(x4812)+P5(x4811,f4(x4812),x4812)+~P5(f57(f57(f5(x4812),x4811),x4811),f4(x4812),x4812) % 0.46/0.68 [482]~P18(x4821)+P5(f4(x4821),x4822,x4821)+~P5(f4(x4821),f57(f57(f5(x4821),x4822),x4822),x4821) % 0.46/0.68 [513]P30(f57(x5131,x5132))+~P30(f57(x5131,f3(a59)))+~P30(f57(x5131,f30(f70(x5131),f64(x5131),a59))) % 0.46/0.68 [514]P30(f57(x5141,x5142))+~P30(f57(x5141,f3(a59)))+~P30(f57(x5141,f30(f83(x5141),f72(x5141),a59))) % 0.46/0.68 [515]P30(f57(x5151,x5152))+~P30(f57(x5151,f3(a59)))+~P30(f57(x5151,f30(f80(x5151),f73(x5151),a59))) % 0.46/0.68 [516]P30(f57(x5161,x5162))+~P30(f57(x5161,f3(a59)))+~P30(f57(x5161,f30(f79(x5161),f74(x5161),a59))) % 0.46/0.68 [517]P30(f57(x5171,x5172))+~P30(f57(x5171,f3(a59)))+~P30(f57(x5171,f30(f78(x5171),f75(x5171),a59))) % 0.46/0.68 [518]P30(f57(x5181,x5182))+~P30(f57(x5181,f3(a59)))+~P30(f57(x5181,f30(f82(x5181),f81(x5181),a59))) % 0.46/0.68 [519]P30(f57(x5191,x5192))+~P30(f57(x5191,f3(a59)))+~P30(f57(x5191,f30(f77(x5191),f76(x5191),a59))) % 0.46/0.68 [614]P30(f57(x6141,x6142))+P30(f57(x6141,f24(x6141)))+~P30(f57(x6141,f32(a8,f7(f25(x6141)),f26(x6141),a58,a58))) % 0.46/0.68 [615]P30(f57(x6151,x6152))+P30(f57(x6151,f20(x6151)))+~P30(f57(x6151,f32(a8,f7(f21(x6151)),f22(x6151),a58,a58))) % 0.46/0.68 [624]P30(f57(x6241,x6242))+~P30(f57(x6241,f32(a8,f7(f25(x6241)),f26(x6241),a58,a58)))+~P30(f57(x6241,f32(a8,f11(f24(x6241)),f27(x6241),a58,a58))) % 0.46/0.68 [625]P30(f57(x6251,x6252))+~P30(f57(x6251,f32(a8,f7(f21(x6251)),f22(x6251),a58,a58)))+~P30(f57(x6251,f32(a8,f11(f20(x6251)),f23(x6251),a58,a58))) % 0.46/0.68 [443]~P5(x4433,x4432,x4431)+~P19(x4431)+~P5(x4432,x4433,x4431) % 0.46/0.68 [445]~P5(x4453,x4452,x4451)+~P25(x4451)+~P5(x4452,x4453,x4451) % 0.46/0.68 [446]~P5(x4463,x4462,x4461)+~P20(x4461)+~P5(x4462,x4463,x4461) % 0.46/0.68 [429]~P20(x4293)+~P7(x4292,x4293)+P7(f40(x4291,x4292,x4293),x4293) % 0.46/0.68 [454]~P20(x4542)+P7(x4541,x4542)+~P7(f15(x4543,x4541,x4542),x4542) % 0.46/0.68 [455]~P20(x4552)+P7(x4551,x4552)+~P7(f15(x4551,x4553,x4552),x4552) % 0.46/0.68 [456]~P20(x4562)+P7(x4561,x4562)+~P7(f30(x4563,x4561,x4562),x4562) % 0.46/0.68 [415]E(x4151,x4152)+P5(x4152,x4151,a1)+E(f16(f7(x4151),x4153,x4152),f7(x4151)) % 0.46/0.68 [607]~P12(f48(a9,a58,a58),x6072,a58)+~P12(f48(a9,a58,a58),f32(a8,f16(x6071,x6072,f4(a1)),x6073,a58,a58),a58)+P12(f48(a9,a58,a58),f32(a8,f57(f57(a8,f11(x6071)),x6072),x6073,a58,a58),a58) % 0.46/0.68 [620]~P30(f57(a10,x6202))+~P30(f57(a10,f32(a8,f16(x6201,x6202,f4(a1)),x6203,a58,a58)))+P30(f57(a10,f32(a8,f57(f57(a8,f11(x6201)),x6202),x6203,a58,a58))) % 0.46/0.68 [484]~P3(x4841,x4843,x4844)+~P3(x4841,x4842,x4844)+P3(x4841,f15(x4842,x4843,x4844),x4844) % 0.46/0.68 [463]P8(x4631,x4632,x4633)+~P8(x4631,x4634,x4633)+~P30(f57(f57(a9,x4634),x4632)) % 0.46/0.68 [470]P12(x4701,x4702,x4703)+~P12(x4701,x4704,x4703)+~P30(f57(f57(x4701,x4702),x4704)) % 0.46/0.68 [583]E(x5831,f3(a58))+E(f32(a8,x5832,f19(x5833,x5834,x5832,x5831),a58,a58),x5833)+~E(f57(f57(a8,x5833),x5834),f32(a8,x5832,x5831,a58,a58)) % 0.46/0.68 [437]~P15(x4373)+E(x4371,x4372)+~E(f57(f57(f5(x4373),x4374),x4371),f57(f57(f5(x4373),x4374),x4372)) % 0.46/0.68 [438]~P16(x4383)+E(x4381,x4382)+~E(f57(f57(f5(x4383),x4384),x4381),f57(f57(f5(x4383),x4384),x4382)) % 0.46/0.68 [439]~P16(x4393)+E(x4391,x4392)+~E(f57(f57(f5(x4393),x4391),x4394),f57(f57(f5(x4393),x4392),x4394)) % 0.46/0.68 [488]~P21(x4881)+~P5(x4882,x4884,x4881)+P5(f57(f57(f5(x4881),x4882),x4883),f57(f57(f5(x4881),x4884),x4883),x4881) % 0.46/0.68 [489]~P22(x4891)+~P5(x4892,x4894,x4891)+P5(f57(f57(f5(x4891),x4892),x4893),f57(f57(f5(x4891),x4894),x4893),x4891) % 0.46/0.68 [490]~P21(x4901)+~P5(x4903,x4904,x4901)+P5(f57(f57(f5(x4901),x4902),x4903),f57(f57(f5(x4901),x4902),x4904),x4901) % 0.46/0.68 [491]~P22(x4911)+~P5(x4913,x4914,x4911)+P5(f57(f57(f5(x4911),x4912),x4913),f57(f57(f5(x4911),x4912),x4914),x4911) % 0.46/0.68 [496]P8(x4961,x4962,x4963)+~P8(x4961,x4964,x4963)+~P30(f57(f57(f47(a9,a58),x4964),x4962)) % 0.46/0.68 [507]P12(x5071,x5072,x5073)+~P12(x5071,x5074,x5073)+~P30(f57(f57(f47(x5071,x5073),x5072),x5074)) % 0.46/0.68 [510]~P22(x5103)+P5(x5101,x5102,x5103)+~P5(f57(f57(f5(x5103),x5104),x5101),f57(f57(f5(x5103),x5104),x5102),x5103) % 0.46/0.68 [511]~P22(x5113)+P5(x5111,x5112,x5113)+~P5(f57(f57(f5(x5113),x5111),x5114),f57(f57(f5(x5113),x5112),x5114),x5113) % 0.46/0.68 [554]~P30(f57(f57(f47(a9,a58),x5541),x5543))+~P30(f57(f57(f47(a9,a58),x5542),x5544))+P30(f57(f57(f47(a9,a58),f57(f57(a8,x5541),x5542)),f57(f57(a8,x5543),x5544))) % 0.46/0.68 [579]E(x5791,f3(a58))+~E(f57(f57(a8,x5792),x5793),f32(a8,x5794,x5791,a58,a58))+E(f15(f19(x5792,x5793,x5794,x5791),f30(x5793,f3(a58),a58),a58),x5791) % 0.46/0.68 [440]E(x4401,x4402)+~E(f39(x4403,x4401,x4404),f39(x4405,x4402,x4404))+E(x4403,f4(a1)) % 0.46/0.68 [600]~P13(x6001,x6003,x6005)+~P8(x6001,x6002,f33(a50,x6005,x6004,a61,a61))+P8(x6001,f32(a8,x6002,x6003,a58,a58),x6004) % 0.46/0.68 [500]~P8(x5001,x5003,x5005)+~P8(x5001,x5002,f57(f57(a50,x5005),x5004))+P8(x5001,f57(f57(a8,x5002),x5003),x5004) % 0.46/0.68 [613]E(x6131,x6132)+~P8(x6133,f32(a8,f7(x6134),x6135,a58,a58),x6131)+~P8(x6133,f32(a8,f7(x6134),x6135,a58,a58),x6132) % 0.46/0.68 [524]~P30(f57(f57(x5241,x5245),x5244))+~P30(f57(f57(f47(x5241,x5242),x5243),x5245))+P30(f57(f57(f47(x5241,x5242),x5243),x5244)) % 0.46/0.68 [525]~P30(f57(f57(x5251,x5253),x5255))+~P30(f57(f57(f47(x5251,x5252),x5255),x5254))+P30(f57(f57(f47(x5251,x5252),x5253),x5254)) % 0.46/0.68 [533]~P30(f57(f57(f47(x5331,x5332),x5333),x5335))+P30(f57(f57(f47(x5331,x5332),x5333),x5334))+~P30(f57(f57(f47(x5331,x5332),x5335),x5334)) % 0.46/0.68 [536]~P30(f57(x5361,x5363))+E(f29(x5361,f15(x5362,f30(x5363,x5364,x5365),x5365),x5365),f30(x5363,f29(x5361,x5364,x5365),x5365))+P30(f57(x5361,f45(x5361,x5362,x5365))) % 0.46/0.68 [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,f46(x5371,x5372,x5375))) % 0.46/0.68 [495]~P14(x4951)+E(f57(f57(f5(x4951),x4952),x4953),x4954)+~E(f57(f57(f5(x4951),x4952),f57(f57(f5(x4951),x4955),x4953)),f57(f57(f5(x4951),x4955),x4954)) % 0.46/0.68 [532]E(x5321,x5322)+E(x5323,x5324)+~P6(x5325,f30(x5324,x5322,x5326),f30(x5323,x5321,x5326),x5326) % 0.46/0.68 [547]E(x5471,x5472)+P6(x5473,x5471,x5472,x5474)+~P6(x5473,f30(x5475,x5471,x5474),f30(x5476,x5472,x5474),x5474) % 0.46/0.68 [534]E(x5341,x5342)+~P6(x5343,f30(x5342,x5344,x5345),f30(x5341,x5346,x5345),x5345)+P30(f57(f57(x5343,x5342),x5341)) % 0.46/0.68 [548]~P4(x5481,x5483,x5486,x5484)+P4(x5481,f30(x5482,x5483,x5484),f30(x5485,x5486,x5484),x5484)+~P30(f57(f57(x5481,x5482),x5485)) % 0.46/0.68 [551]P6(x5511,x5512,x5513,x5514)+~P6(x5511,f30(x5515,x5512,x5514),f30(x5516,x5513,x5514),x5514)+P30(f57(f57(x5511,x5515),x5516)) % 0.46/0.68 [561]E(x5611,x5612)+E(x5613,x5614)+~P6(x5615,f15(x5613,f30(x5611,f3(x5616),x5616),x5616),f15(x5614,f30(x5612,f3(x5616),x5616),x5616),x5616) % 0.46/0.68 [564]E(x5641,x5642)+~P6(x5643,f15(x5644,f30(x5641,f3(x5645),x5645),x5645),f15(x5646,f30(x5642,f3(x5645),x5645),x5645),x5645)+P30(f57(f57(x5643,x5641),x5642)) % 0.46/0.68 [565]E(x5651,x5652)+P6(x5653,x5651,x5652,x5654)+~P6(x5653,f15(x5651,f30(x5655,f3(x5654),x5654),x5654),f15(x5652,f30(x5656,f3(x5654),x5654),x5654),x5654) % 0.46/0.68 [566]P6(x5661,x5662,x5663,x5664)+~P6(x5661,f15(x5662,f30(x5665,f3(x5664),x5664),x5664),f15(x5663,f30(x5666,f3(x5664),x5664),x5664),x5664)+P30(f57(f57(x5661,x5665),x5666)) % 0.46/0.68 [430]P3(a10,f66(x4301),a58)+E(f11(f65(x4301)),x4301)+~P30(f57(a10,x4301))+P30(f57(a10,f68(x4301))) % 0.46/0.68 [447]P3(a10,f66(x4471),a58)+~P30(f57(a10,x4471))+P30(f57(a10,f65(x4471)))+P30(f57(a10,f68(x4471))) % 0.46/0.68 [557]E(f11(f65(x5571)),x5571)+E(f32(a8,f7(f67(x5571)),f66(x5571),a58,a58),x5571)+~P30(f57(a10,x5571))+P30(f57(a10,f68(x5571))) % 0.46/0.68 [559]E(f32(a8,f7(f67(x5591)),f66(x5591),a58,a58),x5591)+~P30(f57(a10,x5591))+P30(f57(a10,f68(x5591)))+P30(f57(a10,f65(x5591))) % 0.46/0.68 [560]P3(a10,f66(x5601),a58)+E(f11(f65(x5601)),x5601)+E(f32(a8,f57(f57(a8,f11(f69(x5601))),f68(x5601)),f71(x5601),a58,a58),x5601)+~P30(f57(a10,x5601)) % 0.46/0.68 [563]P3(a10,f66(x5631),a58)+E(f32(a8,f57(f57(a8,f11(f69(x5631))),f68(x5631)),f71(x5631),a58,a58),x5631)+~P30(f57(a10,x5631))+P30(f57(a10,f65(x5631))) % 0.46/0.68 [580]E(f11(f65(x5801)),x5801)+E(f32(a8,f7(f67(x5801)),f66(x5801),a58,a58),x5801)+E(f32(a8,f57(f57(a8,f11(f69(x5801))),f68(x5801)),f71(x5801),a58,a58),x5801)+~P30(f57(a10,x5801)) % 0.46/0.68 [581]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))+P30(f57(a10,f65(x5811))) % 0.46/0.68 [598]P3(a10,f66(x5981),a58)+E(f11(f65(x5981)),x5981)+~P30(f57(a10,x5981))+P30(f57(a10,f32(a8,f16(f69(x5981),f68(x5981),f4(a1)),f71(x5981),a58,a58))) % 0.46/0.68 [599]P3(a10,f66(x5991),a58)+~P30(f57(a10,x5991))+P30(f57(a10,f65(x5991)))+P30(f57(a10,f32(a8,f16(f69(x5991),f68(x5991),f4(a1)),f71(x5991),a58,a58))) % 0.46/0.68 [602]E(f11(f65(x6021)),x6021)+E(f32(a8,f7(f67(x6021)),f66(x6021),a58,a58),x6021)+~P30(f57(a10,x6021))+P30(f57(a10,f32(a8,f16(f69(x6021),f68(x6021),f4(a1)),f71(x6021),a58,a58))) % 0.46/0.68 [603]E(f32(a8,f7(f67(x6031)),f66(x6031),a58,a58),x6031)+~P30(f57(a10,x6031))+P30(f57(a10,f65(x6031)))+P30(f57(a10,f32(a8,f16(f69(x6031),f68(x6031),f4(a1)),f71(x6031),a58,a58))) % 0.46/0.68 [412]P5(x4121,x4122,x4123)+~P20(x4123)+E(x4121,x4122)+P5(x4122,x4121,x4123) % 0.46/0.68 [413]P5(x4131,x4132,x4133)+~P29(x4133)+E(x4131,x4132)+P5(x4132,x4131,x4133) % 0.46/0.68 [396]~P28(x3962)+~P11(x3962)+E(x3961,f4(x3962))+~E(f57(f57(f5(x3962),x3963),x3961),x3963) % 0.46/0.68 [492]~P23(x4921)+~P5(f4(x4921),x4923,x4921)+~P5(f4(x4921),x4922,x4921)+P5(f4(x4921),f57(f57(f5(x4921),x4922),x4923),x4921) % 0.46/0.68 [493]~P23(x4931)+~P5(x4933,f4(x4931),x4931)+~P5(x4932,f4(x4931),x4931)+P5(f57(f57(f5(x4931),x4932),x4933),f4(x4931),x4931) % 0.46/0.68 [459]~P19(x4593)+~P5(x4591,x4594,x4593)+P5(x4591,x4592,x4593)+~P5(x4594,x4592,x4593) % 0.46/0.68 [460]~P25(x4603)+~P5(x4601,x4604,x4603)+P5(x4601,x4602,x4603)+~P5(x4604,x4602,x4603) % 0.46/0.68 [448]~P28(x4483)+~P11(x4483)+E(x4481,x4482)+~E(f57(f57(f5(x4483),x4484),x4481),f57(f57(f5(x4483),x4484),x4482)) % 0.46/0.68 [486]~P26(x4862)+~P5(x4861,x4864,x4862)+~P5(f4(x4862),x4863,x4862)+P5(x4861,f57(f57(f5(x4862),x4863),x4864),x4862) % 0.46/0.68 [508]~P21(x5081)+~P5(x5083,x5085,x5081)+~P5(x5082,x5084,x5081)+P5(f57(f57(f5(x5081),x5082),x5083),f57(f57(f5(x5081),x5084),x5085),x5081) % 0.46/0.68 [627]~P13(x6271,x6275,x6276)+P13(x6271,x6272,f56(x6273,x6274,x6271,x6272))+~P8(x6271,f32(a8,f7(x6277),x6275,a58,a58),x6274)+~P8(x6271,f32(a8,f32(a8,f7(x6277),x6275,a58,a58),x6272,a58,a58),x6273) % 0.46/0.68 [629]~P13(x6293,x6295,x6296)+~P8(x6293,f32(a8,f7(x6297),x6295,a58,a58),x6292)+~P8(x6293,f32(a8,f32(a8,f7(x6297),x6295,a58,a58),x6294,a58,a58),x6291)+E(f33(a50,f56(x6291,x6292,x6293,x6294),x6291,a61,a61),x6292) % 0.46/0.68 %EqnAxiom % 0.46/0.68 [1]E(x11,x11) % 0.46/0.68 [2]E(x22,x21)+~E(x21,x22) % 0.46/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.46/0.68 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.46/0.68 [5]~E(x51,x52)+E(f34(x51,x53),f34(x52,x53)) % 0.46/0.68 [6]~E(x61,x62)+E(f34(x63,x61),f34(x63,x62)) % 0.46/0.68 [7]~E(x71,x72)+E(f32(x71,x73,x74,x75,x76),f32(x72,x73,x74,x75,x76)) % 0.46/0.68 [8]~E(x81,x82)+E(f32(x83,x81,x84,x85,x86),f32(x83,x82,x84,x85,x86)) % 0.46/0.68 [9]~E(x91,x92)+E(f32(x93,x94,x91,x95,x96),f32(x93,x94,x92,x95,x96)) % 0.46/0.68 [10]~E(x101,x102)+E(f32(x103,x104,x105,x101,x106),f32(x103,x104,x105,x102,x106)) % 0.46/0.68 [11]~E(x111,x112)+E(f32(x113,x114,x115,x116,x111),f32(x113,x114,x115,x116,x112)) % 0.46/0.68 [12]~E(x121,x122)+E(f7(x121),f7(x122)) % 0.46/0.68 [13]~E(x131,x132)+E(f38(x131,x133),f38(x132,x133)) % 0.46/0.68 [14]~E(x141,x142)+E(f38(x143,x141),f38(x143,x142)) % 0.46/0.68 [15]~E(x151,x152)+E(f57(x151,x153),f57(x152,x153)) % 0.46/0.68 [16]~E(x161,x162)+E(f57(x163,x161),f57(x163,x162)) % 0.46/0.68 [17]~E(x171,x172)+E(f33(x171,x173,x174,x175,x176),f33(x172,x173,x174,x175,x176)) % 0.46/0.68 [18]~E(x181,x182)+E(f33(x183,x181,x184,x185,x186),f33(x183,x182,x184,x185,x186)) % 0.46/0.68 [19]~E(x191,x192)+E(f33(x193,x194,x191,x195,x196),f33(x193,x194,x192,x195,x196)) % 0.46/0.68 [20]~E(x201,x202)+E(f33(x203,x204,x205,x201,x206),f33(x203,x204,x205,x202,x206)) % 0.46/0.68 [21]~E(x211,x212)+E(f33(x213,x214,x215,x216,x211),f33(x213,x214,x215,x216,x212)) % 0.46/0.68 [22]~E(x221,x222)+E(f48(x221,x223,x224),f48(x222,x223,x224)) % 0.46/0.68 [23]~E(x231,x232)+E(f48(x233,x231,x234),f48(x233,x232,x234)) % 0.46/0.68 [24]~E(x241,x242)+E(f48(x243,x244,x241),f48(x243,x244,x242)) % 0.46/0.68 [25]~E(x251,x252)+E(f5(x251),f5(x252)) % 0.46/0.68 [26]~E(x261,x262)+E(f4(x261),f4(x262)) % 0.46/0.68 [27]~E(x271,x272)+E(f41(x271),f41(x272)) % 0.46/0.68 [28]~E(x281,x282)+E(f56(x281,x283,x284,x285),f56(x282,x283,x284,x285)) % 0.46/0.68 [29]~E(x291,x292)+E(f56(x293,x291,x294,x295),f56(x293,x292,x294,x295)) % 0.46/0.68 [30]~E(x301,x302)+E(f56(x303,x304,x301,x305),f56(x303,x304,x302,x305)) % 0.46/0.68 [31]~E(x311,x312)+E(f56(x313,x314,x315,x311),f56(x313,x314,x315,x312)) % 0.46/0.68 [32]~E(x321,x322)+E(f42(x321,x323),f42(x322,x323)) % 0.46/0.68 [33]~E(x331,x332)+E(f42(x333,x331),f42(x333,x332)) % 0.46/0.68 [34]~E(x341,x342)+E(f78(x341),f78(x342)) % 0.46/0.68 [35]~E(x351,x352)+E(f16(x351,x353,x354),f16(x352,x353,x354)) % 0.46/0.68 [36]~E(x361,x362)+E(f16(x363,x361,x364),f16(x363,x362,x364)) % 0.46/0.68 [37]~E(x371,x372)+E(f16(x373,x374,x371),f16(x373,x374,x372)) % 0.46/0.68 [38]~E(x381,x382)+E(f30(x381,x383,x384),f30(x382,x383,x384)) % 0.46/0.68 [39]~E(x391,x392)+E(f30(x393,x391,x394),f30(x393,x392,x394)) % 0.46/0.68 [40]~E(x401,x402)+E(f30(x403,x404,x401),f30(x403,x404,x402)) % 0.46/0.68 [41]~E(x411,x412)+E(f11(x411),f11(x412)) % 0.46/0.68 [42]~E(x421,x422)+E(f69(x421),f69(x422)) % 0.46/0.68 [43]~E(x431,x432)+E(f54(x431,x433,x434,x435),f54(x432,x433,x434,x435)) % 0.46/0.68 [44]~E(x441,x442)+E(f54(x443,x441,x444,x445),f54(x443,x442,x444,x445)) % 0.46/0.68 [45]~E(x451,x452)+E(f54(x453,x454,x451,x455),f54(x453,x454,x452,x455)) % 0.46/0.68 [46]~E(x461,x462)+E(f54(x463,x464,x465,x461),f54(x463,x464,x465,x462)) % 0.46/0.68 [47]~E(x471,x472)+E(f66(x471),f66(x472)) % 0.46/0.68 [48]~E(x481,x482)+E(f68(x481),f68(x482)) % 0.46/0.68 [49]~E(x491,x492)+E(f67(x491),f67(x492)) % 0.46/0.68 [50]~E(x501,x502)+E(f47(x501,x503),f47(x502,x503)) % 0.46/0.68 [51]~E(x511,x512)+E(f47(x513,x511),f47(x513,x512)) % 0.46/0.68 [52]~E(x521,x522)+E(f51(x521,x523,x524,x525),f51(x522,x523,x524,x525)) % 0.46/0.68 [53]~E(x531,x532)+E(f51(x533,x531,x534,x535),f51(x533,x532,x534,x535)) % 0.46/0.68 [54]~E(x541,x542)+E(f51(x543,x544,x541,x545),f51(x543,x544,x542,x545)) % 0.46/0.68 [55]~E(x551,x552)+E(f51(x553,x554,x555,x551),f51(x553,x554,x555,x552)) % 0.46/0.68 [56]~E(x561,x562)+E(f15(x561,x563,x564),f15(x562,x563,x564)) % 0.46/0.68 [57]~E(x571,x572)+E(f15(x573,x571,x574),f15(x573,x572,x574)) % 0.46/0.68 [58]~E(x581,x582)+E(f15(x583,x584,x581),f15(x583,x584,x582)) % 0.46/0.68 [59]~E(x591,x592)+E(f22(x591),f22(x592)) % 0.46/0.68 [60]~E(x601,x602)+E(f6(x601,x603,x604),f6(x602,x603,x604)) % 0.46/0.68 [61]~E(x611,x612)+E(f6(x613,x611,x614),f6(x613,x612,x614)) % 0.46/0.68 [62]~E(x621,x622)+E(f6(x623,x624,x621),f6(x623,x624,x622)) % 0.46/0.68 [63]~E(x631,x632)+E(f75(x631),f75(x632)) % 0.46/0.68 [64]~E(x641,x642)+E(f55(x641,x643,x644,x645),f55(x642,x643,x644,x645)) % 0.46/0.68 [65]~E(x651,x652)+E(f55(x653,x651,x654,x655),f55(x653,x652,x654,x655)) % 0.46/0.68 [66]~E(x661,x662)+E(f55(x663,x664,x661,x665),f55(x663,x664,x662,x665)) % 0.46/0.68 [67]~E(x671,x672)+E(f55(x673,x674,x675,x671),f55(x673,x674,x675,x672)) % 0.46/0.68 [68]~E(x681,x682)+E(f12(x681,x683),f12(x682,x683)) % 0.46/0.68 [69]~E(x691,x692)+E(f12(x693,x691),f12(x693,x692)) % 0.46/0.68 [70]~E(x701,x702)+E(f44(x701,x703,x704,x705,x706),f44(x702,x703,x704,x705,x706)) % 0.46/0.68 [71]~E(x711,x712)+E(f44(x713,x711,x714,x715,x716),f44(x713,x712,x714,x715,x716)) % 0.46/0.68 [72]~E(x721,x722)+E(f44(x723,x724,x721,x725,x726),f44(x723,x724,x722,x725,x726)) % 0.46/0.68 [73]~E(x731,x732)+E(f44(x733,x734,x735,x731,x736),f44(x733,x734,x735,x732,x736)) % 0.46/0.68 [74]~E(x741,x742)+E(f44(x743,x744,x745,x746,x741),f44(x743,x744,x745,x746,x742)) % 0.46/0.68 [75]~E(x751,x752)+E(f36(x751,x753,x754,x755),f36(x752,x753,x754,x755)) % 0.46/0.68 [76]~E(x761,x762)+E(f36(x763,x761,x764,x765),f36(x763,x762,x764,x765)) % 0.46/0.68 [77]~E(x771,x772)+E(f36(x773,x774,x771,x775),f36(x773,x774,x772,x775)) % 0.46/0.68 [78]~E(x781,x782)+E(f36(x783,x784,x785,x781),f36(x783,x784,x785,x782)) % 0.46/0.68 [79]~E(x791,x792)+E(f65(x791),f65(x792)) % 0.46/0.68 [80]~E(x801,x802)+E(f77(x801),f77(x802)) % 0.46/0.68 [81]~E(x811,x812)+E(f28(x811,x813,x814),f28(x812,x813,x814)) % 0.46/0.68 [82]~E(x821,x822)+E(f28(x823,x821,x824),f28(x823,x822,x824)) % 0.46/0.68 [83]~E(x831,x832)+E(f28(x833,x834,x831),f28(x833,x834,x832)) % 0.46/0.68 [84]~E(x841,x842)+E(f29(x841,x843,x844),f29(x842,x843,x844)) % 0.46/0.68 [85]~E(x851,x852)+E(f29(x853,x851,x854),f29(x853,x852,x854)) % 0.46/0.68 [86]~E(x861,x862)+E(f29(x863,x864,x861),f29(x863,x864,x862)) % 0.46/0.68 [87]~E(x871,x872)+E(f39(x871,x873,x874),f39(x872,x873,x874)) % 0.46/0.68 [88]~E(x881,x882)+E(f39(x883,x881,x884),f39(x883,x882,x884)) % 0.46/0.68 [89]~E(x891,x892)+E(f39(x893,x894,x891),f39(x893,x894,x892)) % 0.46/0.68 [90]~E(x901,x902)+E(f13(x901,x903,x904,x905,x906),f13(x902,x903,x904,x905,x906)) % 0.46/0.68 [91]~E(x911,x912)+E(f13(x913,x911,x914,x915,x916),f13(x913,x912,x914,x915,x916)) % 0.46/0.68 [92]~E(x921,x922)+E(f13(x923,x924,x921,x925,x926),f13(x923,x924,x922,x925,x926)) % 0.46/0.68 [93]~E(x931,x932)+E(f13(x933,x934,x935,x931,x936),f13(x933,x934,x935,x932,x936)) % 0.46/0.68 [94]~E(x941,x942)+E(f13(x943,x944,x945,x946,x941),f13(x943,x944,x945,x946,x942)) % 0.46/0.68 [95]~E(x951,x952)+E(f14(x951,x953,x954,x955,x956),f14(x952,x953,x954,x955,x956)) % 0.46/0.68 [96]~E(x961,x962)+E(f14(x963,x961,x964,x965,x966),f14(x963,x962,x964,x965,x966)) % 0.46/0.68 [97]~E(x971,x972)+E(f14(x973,x974,x971,x975,x976),f14(x973,x974,x972,x975,x976)) % 0.46/0.68 [98]~E(x981,x982)+E(f14(x983,x984,x985,x981,x986),f14(x983,x984,x985,x982,x986)) % 0.46/0.68 [99]~E(x991,x992)+E(f14(x993,x994,x995,x996,x991),f14(x993,x994,x995,x996,x992)) % 0.46/0.68 [100]~E(x1001,x1002)+E(f35(x1001,x1003,x1004,x1005),f35(x1002,x1003,x1004,x1005)) % 0.46/0.68 [101]~E(x1011,x1012)+E(f35(x1013,x1011,x1014,x1015),f35(x1013,x1012,x1014,x1015)) % 0.46/0.68 [102]~E(x1021,x1022)+E(f35(x1023,x1024,x1021,x1025),f35(x1023,x1024,x1022,x1025)) % 0.46/0.68 [103]~E(x1031,x1032)+E(f35(x1033,x1034,x1035,x1031),f35(x1033,x1034,x1035,x1032)) % 0.46/0.68 [104]~E(x1041,x1042)+E(f79(x1041),f79(x1042)) % 0.46/0.68 [105]~E(x1051,x1052)+E(f74(x1051),f74(x1052)) % 0.46/0.68 [106]~E(x1061,x1062)+E(f71(x1061),f71(x1062)) % 0.46/0.68 [107]~E(x1071,x1072)+E(f37(x1071,x1073,x1074,x1075,x1076),f37(x1072,x1073,x1074,x1075,x1076)) % 0.46/0.68 [108]~E(x1081,x1082)+E(f37(x1083,x1081,x1084,x1085,x1086),f37(x1083,x1082,x1084,x1085,x1086)) % 0.46/0.68 [109]~E(x1091,x1092)+E(f37(x1093,x1094,x1091,x1095,x1096),f37(x1093,x1094,x1092,x1095,x1096)) % 0.46/0.68 [110]~E(x1101,x1102)+E(f37(x1103,x1104,x1105,x1101,x1106),f37(x1103,x1104,x1105,x1102,x1106)) % 0.46/0.68 [111]~E(x1111,x1112)+E(f37(x1113,x1114,x1115,x1116,x1111),f37(x1113,x1114,x1115,x1116,x1112)) % 0.46/0.68 [112]~E(x1121,x1122)+E(f25(x1121),f25(x1122)) % 0.46/0.68 [113]~E(x1131,x1132)+E(f52(x1131,x1133,x1134,x1135),f52(x1132,x1133,x1134,x1135)) % 0.46/0.68 [114]~E(x1141,x1142)+E(f52(x1143,x1141,x1144,x1145),f52(x1143,x1142,x1144,x1145)) % 0.46/0.68 [115]~E(x1151,x1152)+E(f52(x1153,x1154,x1151,x1155),f52(x1153,x1154,x1152,x1155)) % 0.46/0.68 [116]~E(x1161,x1162)+E(f52(x1163,x1164,x1165,x1161),f52(x1163,x1164,x1165,x1162)) % 0.46/0.68 [117]~E(x1171,x1172)+E(f24(x1171),f24(x1172)) % 0.46/0.68 [118]~E(x1181,x1182)+E(f27(x1181),f27(x1182)) % 0.46/0.68 [119]~E(x1191,x1192)+E(f46(x1191,x1193,x1194),f46(x1192,x1193,x1194)) % 0.46/0.68 [120]~E(x1201,x1202)+E(f46(x1203,x1201,x1204),f46(x1203,x1202,x1204)) % 0.46/0.68 [121]~E(x1211,x1212)+E(f46(x1213,x1214,x1211),f46(x1213,x1214,x1212)) % 0.46/0.68 [122]~E(x1221,x1222)+E(f62(x1221,x1223),f62(x1222,x1223)) % 0.46/0.68 [123]~E(x1231,x1232)+E(f62(x1233,x1231),f62(x1233,x1232)) % 0.46/0.68 [124]~E(x1241,x1242)+E(f43(x1241,x1243,x1244),f43(x1242,x1243,x1244)) % 0.46/0.68 [125]~E(x1251,x1252)+E(f43(x1253,x1251,x1254),f43(x1253,x1252,x1254)) % 0.46/0.68 [126]~E(x1261,x1262)+E(f43(x1263,x1264,x1261),f43(x1263,x1264,x1262)) % 0.46/0.68 [127]~E(x1271,x1272)+E(f19(x1271,x1273,x1274,x1275),f19(x1272,x1273,x1274,x1275)) % 0.46/0.68 [128]~E(x1281,x1282)+E(f19(x1283,x1281,x1284,x1285),f19(x1283,x1282,x1284,x1285)) % 0.46/0.68 [129]~E(x1291,x1292)+E(f19(x1293,x1294,x1291,x1295),f19(x1293,x1294,x1292,x1295)) % 0.46/0.68 [130]~E(x1301,x1302)+E(f19(x1303,x1304,x1305,x1301),f19(x1303,x1304,x1305,x1302)) % 0.46/0.68 [131]~E(x1311,x1312)+E(f53(x1311,x1313,x1314,x1315),f53(x1312,x1313,x1314,x1315)) % 0.46/0.68 [132]~E(x1321,x1322)+E(f53(x1323,x1321,x1324,x1325),f53(x1323,x1322,x1324,x1325)) % 0.46/0.68 [133]~E(x1331,x1332)+E(f53(x1333,x1334,x1331,x1335),f53(x1333,x1334,x1332,x1335)) % 0.46/0.68 [134]~E(x1341,x1342)+E(f53(x1343,x1344,x1345,x1341),f53(x1343,x1344,x1345,x1342)) % 0.46/0.68 [135]~E(x1351,x1352)+E(f40(x1351,x1353,x1354),f40(x1352,x1353,x1354)) % 0.46/0.68 [136]~E(x1361,x1362)+E(f40(x1363,x1361,x1364),f40(x1363,x1362,x1364)) % 0.46/0.68 [137]~E(x1371,x1372)+E(f40(x1373,x1374,x1371),f40(x1373,x1374,x1372)) % 0.46/0.68 [138]~E(x1381,x1382)+E(f73(x1381),f73(x1382)) % 0.46/0.68 [139]~E(x1391,x1392)+E(f49(x1391),f49(x1392)) % 0.46/0.68 [140]~E(x1401,x1402)+E(f72(x1401),f72(x1402)) % 0.46/0.68 [141]~E(x1411,x1412)+E(f76(x1411),f76(x1412)) % 0.46/0.68 [142]~E(x1421,x1422)+E(f83(x1421),f83(x1422)) % 0.46/0.68 [143]~E(x1431,x1432)+E(f64(x1431),f64(x1432)) % 0.46/0.68 [144]~E(x1441,x1442)+E(f21(x1441),f21(x1442)) % 0.46/0.68 [145]~E(x1451,x1452)+E(f45(x1451,x1453,x1454),f45(x1452,x1453,x1454)) % 0.46/0.68 [146]~E(x1461,x1462)+E(f45(x1463,x1461,x1464),f45(x1463,x1462,x1464)) % 0.46/0.68 [147]~E(x1471,x1472)+E(f45(x1473,x1474,x1471),f45(x1473,x1474,x1472)) % 0.46/0.68 [148]~E(x1481,x1482)+E(f18(x1481),f18(x1482)) % 0.46/0.68 [149]~E(x1491,x1492)+E(f81(x1491),f81(x1492)) % 0.46/0.68 [150]~E(x1501,x1502)+E(f70(x1501),f70(x1502)) % 0.46/0.68 [151]~E(x1511,x1512)+E(f31(x1511,x1513,x1514,x1515),f31(x1512,x1513,x1514,x1515)) % 0.46/0.68 [152]~E(x1521,x1522)+E(f31(x1523,x1521,x1524,x1525),f31(x1523,x1522,x1524,x1525)) % 0.46/0.68 [153]~E(x1531,x1532)+E(f31(x1533,x1534,x1531,x1535),f31(x1533,x1534,x1532,x1535)) % 0.46/0.68 [154]~E(x1541,x1542)+E(f31(x1543,x1544,x1545,x1541),f31(x1543,x1544,x1545,x1542)) % 0.46/0.68 [155]~E(x1551,x1552)+E(f20(x1551),f20(x1552)) % 0.46/0.68 [156]~E(x1561,x1562)+E(f82(x1561),f82(x1562)) % 0.46/0.68 [157]~E(x1571,x1572)+E(f26(x1571),f26(x1572)) % 0.46/0.68 [158]~E(x1581,x1582)+E(f17(x1581),f17(x1582)) % 0.46/0.68 [159]~E(x1591,x1592)+E(f23(x1591),f23(x1592)) % 0.46/0.68 [160]~E(x1601,x1602)+E(f80(x1601),f80(x1602)) % 0.46/0.68 [161]~P1(x1611)+P1(x1612)+~E(x1611,x1612) % 0.46/0.68 [162]~P19(x1621)+P19(x1622)+~E(x1621,x1622) % 0.46/0.68 [163]P8(x1632,x1633,x1634)+~E(x1631,x1632)+~P8(x1631,x1633,x1634) % 0.46/0.68 [164]P8(x1643,x1642,x1644)+~E(x1641,x1642)+~P8(x1643,x1641,x1644) % 0.46/0.68 [165]P8(x1653,x1654,x1652)+~E(x1651,x1652)+~P8(x1653,x1654,x1651) % 0.46/0.68 [166]~P25(x1661)+P25(x1662)+~E(x1661,x1662) % 0.46/0.68 [167]~P30(x1671)+P30(x1672)+~E(x1671,x1672) % 0.46/0.68 [168]~P20(x1681)+P20(x1682)+~E(x1681,x1682) % 0.46/0.68 [169]~P21(x1691)+P21(x1692)+~E(x1691,x1692) % 0.46/0.68 [170]~P22(x1701)+P22(x1702)+~E(x1701,x1702) % 0.46/0.68 [171]~P23(x1711)+P23(x1712)+~E(x1711,x1712) % 0.46/0.68 [172]~P26(x1721)+P26(x1722)+~E(x1721,x1722) % 0.46/0.68 [173]~P2(x1731)+P2(x1732)+~E(x1731,x1732) % 0.46/0.68 [174]~P15(x1741)+P15(x1742)+~E(x1741,x1742) % 0.46/0.68 [175]~P16(x1751)+P16(x1752)+~E(x1751,x1752) % 0.46/0.68 [176]~P27(x1761)+P27(x1762)+~E(x1761,x1762) % 0.46/0.68 [177]~P17(x1771)+P17(x1772)+~E(x1771,x1772) % 0.46/0.68 [178]~P24(x1781)+P24(x1782)+~E(x1781,x1782) % 0.46/0.68 [179]P3(x1792,x1793,x1794)+~E(x1791,x1792)+~P3(x1791,x1793,x1794) % 0.46/0.68 [180]P3(x1803,x1802,x1804)+~E(x1801,x1802)+~P3(x1803,x1801,x1804) % 0.46/0.68 [181]P3(x1813,x1814,x1812)+~E(x1811,x1812)+~P3(x1813,x1814,x1811) % 0.46/0.68 [182]P12(x1822,x1823,x1824)+~E(x1821,x1822)+~P12(x1821,x1823,x1824) % 0.46/0.68 [183]P12(x1833,x1832,x1834)+~E(x1831,x1832)+~P12(x1833,x1831,x1834) % 0.46/0.68 [184]P12(x1843,x1844,x1842)+~E(x1841,x1842)+~P12(x1843,x1844,x1841) % 0.46/0.68 [185]P5(x1852,x1853,x1854)+~E(x1851,x1852)+~P5(x1851,x1853,x1854) % 0.46/0.68 [186]P5(x1863,x1862,x1864)+~E(x1861,x1862)+~P5(x1863,x1861,x1864) % 0.46/0.68 [187]P5(x1873,x1874,x1872)+~E(x1871,x1872)+~P5(x1873,x1874,x1871) % 0.46/0.68 [188]~P18(x1881)+P18(x1882)+~E(x1881,x1882) % 0.46/0.68 [189]P13(x1892,x1893,x1894)+~E(x1891,x1892)+~P13(x1891,x1893,x1894) % 0.46/0.68 [190]P13(x1903,x1902,x1904)+~E(x1901,x1902)+~P13(x1903,x1901,x1904) % 0.46/0.68 [191]P13(x1913,x1914,x1912)+~E(x1911,x1912)+~P13(x1913,x1914,x1911) % 0.46/0.68 [192]P4(x1922,x1923,x1924,x1925)+~E(x1921,x1922)+~P4(x1921,x1923,x1924,x1925) % 0.46/0.68 [193]P4(x1933,x1932,x1934,x1935)+~E(x1931,x1932)+~P4(x1933,x1931,x1934,x1935) % 0.46/0.68 [194]P4(x1943,x1944,x1942,x1945)+~E(x1941,x1942)+~P4(x1943,x1944,x1941,x1945) % 0.46/0.68 [195]P4(x1953,x1954,x1955,x1952)+~E(x1951,x1952)+~P4(x1953,x1954,x1955,x1951) % 0.46/0.68 [196]P7(x1962,x1963)+~E(x1961,x1962)+~P7(x1961,x1963) % 0.46/0.68 [197]P7(x1973,x1972)+~E(x1971,x1972)+~P7(x1973,x1971) % 0.46/0.68 [198]P6(x1982,x1983,x1984,x1985)+~E(x1981,x1982)+~P6(x1981,x1983,x1984,x1985) % 0.46/0.68 [199]P6(x1993,x1992,x1994,x1995)+~E(x1991,x1992)+~P6(x1993,x1991,x1994,x1995) % 0.46/0.68 [200]P6(x2003,x2004,x2002,x2005)+~E(x2001,x2002)+~P6(x2003,x2004,x2001,x2005) % 0.46/0.68 [201]P6(x2013,x2014,x2015,x2012)+~E(x2011,x2012)+~P6(x2013,x2014,x2015,x2011) % 0.46/0.68 [202]~P28(x2021)+P28(x2022)+~E(x2021,x2022) % 0.46/0.68 [203]P10(x2032,x2033,x2034)+~E(x2031,x2032)+~P10(x2031,x2033,x2034) % 0.46/0.68 [204]P10(x2043,x2042,x2044)+~E(x2041,x2042)+~P10(x2043,x2041,x2044) % 0.46/0.68 [205]P10(x2053,x2054,x2052)+~E(x2051,x2052)+~P10(x2053,x2054,x2051) % 0.46/0.68 [206]P9(x2062,x2063)+~E(x2061,x2062)+~P9(x2061,x2063) % 0.46/0.68 [207]P9(x2073,x2072)+~E(x2071,x2072)+~P9(x2073,x2071) % 0.46/0.68 [208]~P14(x2081)+P14(x2082)+~E(x2081,x2082) % 0.46/0.68 [209]~P29(x2091)+P29(x2092)+~E(x2091,x2092) % 0.46/0.68 [210]~P11(x2101)+P11(x2102)+~E(x2101,x2102) % 0.46/0.68 % 0.46/0.68 %------------------------------------------- % 0.46/0.68 cnf(658,plain, % 0.46/0.68 ($false), % 0.46/0.68 inference(scs_inference,[],[237,355,597]), % 0.46/0.68 ['proof']). % 0.46/0.68 % SZS output end Proof % 0.46/0.68 % Total time :0.043109s %------------------------------------------------------------------------------