TSTP Solution File: LCL835-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL835-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:51:17 EDT 2023
% Result : Unsatisfiable 0.75s 0.85s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL835-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 19:39:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.18/0.81 %-------------------------------------------
% 0.18/0.81 % File :CSE---1.6
% 0.18/0.81 % Problem :theBenchmark
% 0.18/0.81 % Transform :cnf
% 0.18/0.81 % Format :tptp:raw
% 0.18/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.81
% 0.18/0.81 % Result :Theorem 0.050000s
% 0.18/0.81 % Output :CNFRefutation 0.050000s
% 0.18/0.81 %-------------------------------------------
% 0.18/0.82 %------------------------------------------------------------------------------
% 0.18/0.82 % File : LCL835-1 : TPTP v8.1.2. Released v4.1.0.
% 0.18/0.82 % Domain : Logic Calculi
% 0.18/0.82 % Problem : Strong normalization of typed lambda calculus 230_11
% 0.18/0.82 % Version : Especial.
% 0.18/0.82 % English :
% 0.18/0.82
% 0.18/0.82 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.18/0.82 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.18/0.82 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.18/0.82 % Source : [Nip10]
% 0.18/0.82 % Names : StrongNorm-230_11 [Nip10]
% 0.18/0.82
% 0.18/0.82 % Status : Unsatisfiable
% 0.18/0.82 % Rating : 0.10 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.55 v5.3.0, 0.50 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0
% 0.18/0.82 % Syntax : Number of clauses : 494 ( 162 unt; 42 nHn; 252 RR)
% 0.18/0.82 % Number of literals : 971 ( 377 equ; 464 neg)
% 0.18/0.82 % Maximal clause size : 6 ( 1 avg)
% 0.18/0.82 % Maximal term depth : 9 ( 2 avg)
% 0.18/0.82 % Number of predicates : 38 ( 37 usr; 0 prp; 1-6 aty)
% 0.18/0.82 % Number of functors : 62 ( 62 usr; 23 con; 0-5 aty)
% 0.18/0.82 % Number of variables : 1653 ( 399 sgn)
% 0.18/0.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.18/0.82
% 0.18/0.82 % Comments :
% 0.18/0.82 %------------------------------------------------------------------------------
% 0.18/0.82 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.18/0.82 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.18/0.82 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.18/0.82 ( c_List_Olistsp(V_A,V_ys,T_a)
% 0.18/0.82 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_listsp_ONil_0,axiom,
% 0.18/0.82 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.18/0.82 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.18/0.82 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 0.18/0.82 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_IT_OVar_0,axiom,
% 0.18/0.82 ( 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)))
% 0.18/0.82 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.18/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.82 | 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) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.18/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.82 | 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)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.18/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.82 | 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)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_add__gr__0_0,axiom,
% 0.18/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.18/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.18/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_conversep_Ointros_0,axiom,
% 0.18/0.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 0.18/0.82 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_conversep_Ocases_0,axiom,
% 0.18/0.82 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 0.18/0.82 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_conversep__iff_1,axiom,
% 0.18/0.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 0.18/0.82 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_conversepD_0,axiom,
% 0.18/0.82 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 0.18/0.82 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_replicate__Suc_0,axiom,
% 0.18/0.82 c_List_Oreplicate(c_Suc(V_n),V_x,T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_add__cancel__21_0,axiom,
% 0.18/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.18/0.82 | 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)
% 0.18/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.18/0.82 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_COMBC__def_0,axiom,
% 0.18/0.82 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_subst__Var_1,axiom,
% 0.18/0.82 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.18/0.82 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.18/0.82 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_map__is__Nil__conv_1,axiom,
% 0.18/0.82 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_one__is__add_5,axiom,
% 0.18/0.82 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_one__is__add_3,axiom,
% 0.18/0.82 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.18/0.82 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.18/0.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_one__is__add_0,axiom,
% 0.18/0.82 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.18/0.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.82 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_add__Suc__shift_0,axiom,
% 0.18/0.82 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_rtranclp__converseD_0,axiom,
% 0.18/0.82 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 0.18/0.82 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_rtranclp__converseI_0,axiom,
% 0.18/0.82 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 0.18/0.82 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.18/0.82 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.18/0.82 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.18/0.82 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_zero__less__Suc_0,axiom,
% 0.18/0.82 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.18/0.82 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_min__max_Oless__supI1_0,axiom,
% 0.18/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.82 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.18/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_min__max_Oless__supI2_0,axiom,
% 0.18/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.82 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.18/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_less__max__iff__disj_1,axiom,
% 0.18/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.82 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.18/0.82 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_less__max__iff__disj_2,axiom,
% 0.18/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.82 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.18/0.82 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_max__less__iff__conj_0,axiom,
% 0.18/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.82 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.18/0.82 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_max__less__iff__conj_1,axiom,
% 0.18/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.82 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.18/0.82 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_listsum_Osimps_I1_J_0,axiom,
% 0.18/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.18/0.82 | c_List_Olistsum(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.18/0.82
% 0.18/0.82 cnf(cls_add__neg__neg_0,axiom,
% 0.18/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.18/0.82 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.18/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.18/0.83 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_append__Cons_0,axiom,
% 0.18/0.83 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.18/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H)))
% 0.18/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.18/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t)))
% 0.18/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_map__eq__Cons__conv_3,axiom,
% 0.18/0.83 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) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_Cons__eq__map__conv_3,axiom,
% 0.18/0.83 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) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_map_Osimps_I2_J_0,axiom,
% 0.18/0.83 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) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_Suc__lessI_0,axiom,
% 0.18/0.83 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.18/0.83 | c_Suc(V_m) = V_n
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)
% 0.18/0.83 | V_y = V_z ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)
% 0.18/0.83 | V_m = V_n ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 0.18/0.83 | V_m = V_n ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.18/0.83 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.18/0.83 | ~ class_Int_Onumber__ring(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 0.18/0.83 | V_y = V_z ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_add__imp__eq_0,axiom,
% 0.18/0.83 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.18/0.83 | V_b = V_c ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_add__left__cancel_0,axiom,
% 0.18/0.83 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.18/0.83 | V_b = V_c ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_add__right__cancel_0,axiom,
% 0.18/0.83 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 0.18/0.83 | V_b = V_c ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.18/0.83 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.18/0.83 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_neq__Nil__conv_1,axiom,
% 0.18/0.83 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.18/0.83 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_gb__semiring_Opwr__mul_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(V_pwr,hAPP(hAPP(V_mul,V_x),V_y)),V_q) = hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),hAPP(hAPP(V_pwr,V_y),V_q))
% 0.18/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_gb__semiring_Omul__d_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_add,V_y),V_z)) = hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_x),V_y)),hAPP(hAPP(V_mul,V_x),V_z))
% 0.18/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_gb__semiring_Omul__c_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x)
% 0.18/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_gb__semiring_Omul__a_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_mul,V_y),V_z)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_x),V_y)),V_z)
% 0.18/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_gb__semiring_Omul__1_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x
% 0.18/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_gb__semiring_Omul__0_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0
% 0.18/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_gb__semiring_Oadd__c_0,axiom,
% 0.18/0.83 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x)
% 0.18/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_lifts__IT_0,axiom,
% 0.18/0.83 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.18/0.83 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.18/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.18/0.83 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.18/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.18/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_nat__add__assoc_0,axiom,
% 0.18/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_nat__add__left__commute_0,axiom,
% 0.18/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_add__cancel__21_1,axiom,
% 0.18/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.18/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.18/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_xt1_I10_J_0,axiom,
% 0.18/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.18/0.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_order__less__trans_0,axiom,
% 0.18/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.18/0.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_append__step1I_0,axiom,
% 0.18/0.83 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.18/0.83 | c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,V_x,T_a),c_List_Oappend(V_xs,V_x,T_a),T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_append__step1I_1,axiom,
% 0.18/0.83 ( c_ListOrder_Ostep1(V_r,c_List_Oappend(V_x,V_vs,T_a),c_List_Oappend(V_x,V_us,T_a),T_a)
% 0.18/0.83 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_Beta_I6_J_0,axiom,
% 0.18/0.83 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.18/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H)))
% 0.18/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_subst__Var_2,axiom,
% 0.18/0.83 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.18/0.83 | V_i = V_k
% 0.18/0.83 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_less__Suc0_0,axiom,
% 0.18/0.83 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_max__Suc__Suc_0,axiom,
% 0.18/0.83 c_Orderings_Oord__class_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(V_m,V_n,tc_nat)) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.18/0.83 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_add__is__1_4,axiom,
% 0.18/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.18/0.83 ( V_x = V_y
% 0.18/0.83 | V_xs = V_ys
% 0.18/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.18/0.83 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.18/0.83 | c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_x,T_a),c_List_Olist_OCons(V_xa,V_x,T_a),T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.18/0.83 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.18/0.83 | V_m = V_n ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_append__same__eq_0,axiom,
% 0.18/0.83 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.18/0.83 | V_ys = V_zs ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_same__append__eq_0,axiom,
% 0.18/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.18/0.83 | V_ys = V_zs ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_max__less__iff__conj_2,axiom,
% 0.18/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.18/0.83 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.18/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.18/0.83
% 0.18/0.83 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.66/0.83 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.66/0.83 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_accp__downwards_0,axiom,
% 0.66/0.83 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.66/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 0.66/0.83 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_accp__downwards__aux_0,axiom,
% 0.66/0.83 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.66/0.83 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.66/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_rtranclp__trans_0,axiom,
% 0.66/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.66/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.66/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_IT__implies__termi_0,axiom,
% 0.66/0.83 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 0.66/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_termi__implies__IT_0,axiom,
% 0.66/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 0.66/0.83 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_power__0__Suc_0,axiom,
% 0.66/0.83 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.66/0.83 | ~ class_Power_Opower(T_a)
% 0.66/0.83 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_add__Suc__right_0,axiom,
% 0.66/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_add__Suc_0,axiom,
% 0.66/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_less__add__Suc1_0,axiom,
% 0.66/0.83 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_less__add__Suc2_0,axiom,
% 0.66/0.83 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.66/0.83 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_append__Nil2_0,axiom,
% 0.66/0.83 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.66/0.83 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_self__append__conv_1,axiom,
% 0.66/0.83 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_append__Nil_0,axiom,
% 0.66/0.83 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_self__append__conv2_1,axiom,
% 0.66/0.83 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.66/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_r),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_i)))
% 0.66/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_map__replicate_0,axiom,
% 0.66/0.83 c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a) = c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.66/0.83 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.66/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.66/0.83 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.66/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_add__lessD1_0,axiom,
% 0.66/0.83 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.66/0.83 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_trans__less__add1_0,axiom,
% 0.66/0.83 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.66/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_trans__less__add2_0,axiom,
% 0.66/0.83 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.66/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.66/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.66/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.66/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.66/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_nat__add__commute_0,axiom,
% 0.66/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_less__add__eq__less_0,axiom,
% 0.66/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)
% 0.66/0.83 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.66/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.66/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.66/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_foldr__append_0,axiom,
% 0.66/0.83 c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ).
% 0.66/0.83
% 0.66/0.83 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.66/0.83 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.66/0.83 | V_y = V_x
% 0.66/0.84 | ~ 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) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.66/0.84 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.66/0.84 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.66/0.84 | V_m = V_n ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_Nil__is__map__conv_0,axiom,
% 0.66/0.84 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a)
% 0.66/0.84 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Omul__pwr_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_p)),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q))
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.66/0.84 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)))
% 0.66/0.84 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.66/0.84 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_r),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_i)))
% 0.66/0.84 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_liftn__lift_0,axiom,
% 0.66/0.84 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = hAPP(hAPP(c_Lambda_Olift,c_Lambda_Oliftn(V_n,V_t,V_k)),V_k) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_Var__IT_0,axiom,
% 0.66/0.84 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_Suc__inject_0,axiom,
% 0.66/0.84 ( c_Suc(V_x) != c_Suc(V_y)
% 0.66/0.84 | V_x = V_y ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_nat_Oinject_0,axiom,
% 0.66/0.84 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.66/0.84 | V_nat = V_nat_H ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.66/0.84 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.66/0.84 | 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) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.66/0.84 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_r__into__rtranclp_0,axiom,
% 0.66/0.84 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.66/0.84 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_not__Nil__step1_0,axiom,
% 0.66/0.84 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_not__step1__Nil_0,axiom,
% 0.66/0.84 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_less__Suc0_1,axiom,
% 0.66/0.84 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.66/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.66/0.84 | 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)
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.66/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.66/0.84 | ~ 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) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_even__less__0__iff_0,axiom,
% 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.66/0.84 | ~ 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) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_even__less__0__iff_1,axiom,
% 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.66/0.84 | 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)
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_one__is__add_1,axiom,
% 0.66/0.84 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.66/0.84 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.66/0.84 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_one__is__add_2,axiom,
% 0.66/0.84 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.66/0.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.66/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_zero__less__power_0,axiom,
% 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.66/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_less__max__iff__disj_0,axiom,
% 0.66/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.66/0.84 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.66/0.84 | V_i = V_k
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_lift__IT_0,axiom,
% 0.66/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)))
% 0.66/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.66/0.84 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.66/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.66/0.84 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.66/0.84 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.66/0.84 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.66/0.84 | V_dB = V_dB_H ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.66/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.66/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.66/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.66/0.84 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_conversep__eq_0,axiom,
% 0.66/0.84 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_less__SucE_0,axiom,
% 0.66/0.84 ( V_m = V_n
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_less__antisym_0,axiom,
% 0.66/0.84 ( V_m = V_n
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.66/0.84 ( V_n = V_m
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 0.66/0.84 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_empty__replicate_1,axiom,
% 0.66/0.84 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_one__is__add_4,axiom,
% 0.66/0.84 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_nat__less__le_1,axiom,
% 0.66/0.84 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_less__not__refl_0,axiom,
% 0.66/0.84 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_order__less__le_1,axiom,
% 0.66/0.84 ( ~ class_Orderings_Oorder(T_a)
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_linorder__neq__iff_1,axiom,
% 0.66/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_order__less__irrefl_0,axiom,
% 0.66/0.84 ( ~ class_Orderings_Opreorder(T_a)
% 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 0.66/0.84 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_n))
% 0.66/0.84 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Oadd__a_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_add,V_x),hAPP(hAPP(V_add,V_y),V_z)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_x),V_y)),V_z)
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Oadd__0_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),V_d)
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a)
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),V_b)
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,V_c),hAPP(hAPP(V_add,V_a),V_d))
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_b),V_c))
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),hAPP(hAPP(V_add,V_b),V_d))
% 0.66/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.66/0.84
% 0.66/0.84 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.66/0.84 ( hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_rx),hAPP(hAPP(V_mul,V_lx),V_ry))
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),V_ry)
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_rx) = hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_ly),V_rx))
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_rx) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),V_ly)
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_rx),hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_ry))
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_ly),hAPP(hAPP(V_mul,V_rx),V_ry)))
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),hAPP(hAPP(V_mul,V_ly),V_ry))
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_c)),hAPP(hAPP(V_mul,V_b),V_c))
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a)
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m)
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_add,V_m),hAPP(hAPP(V_mul,V_a),V_m)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_r1)),V_m)
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_m)),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_r1)),V_m)
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_m)),hAPP(hAPP(V_mul,V_b),V_m)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_b)),V_m)
% 0.75/0.84 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.75/0.84 ( V_x = V_y
% 0.75/0.84 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.75/0.84 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_add__is__1_3,axiom,
% 0.75/0.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.84 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_add__is__1_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.75/0.84 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_Lambda_0,axiom,
% 0.75/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.75/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.75/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.84 | 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)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.75/0.84 ( 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)))
% 0.75/0.84 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.75/0.84 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.75/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_min__max_Osup__commute_0,axiom,
% 0.75/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.84 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_uIT_0,axiom,
% 0.75/0.84 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.75/0.84 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_subject__reduction_H_0,axiom,
% 0.75/0.84 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.75/0.84 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.75/0.84 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_replicate__empty_1,axiom,
% 0.75/0.84 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_lift__types_0,axiom,
% 0.75/0.84 ( c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.75/0.84 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_lift__preserves__beta_0,axiom,
% 0.75/0.84 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.75/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_not__Cons__self2_0,axiom,
% 0.75/0.84 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_not__Cons__self_0,axiom,
% 0.75/0.84 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 0.75/0.84 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.75/0.84 | 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)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.75/0.84 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.75/0.84 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_not__less__eq_1,axiom,
% 0.75/0.84 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_not__less__eq_0,axiom,
% 0.75/0.84 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.75/0.84 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.75/0.84 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) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_max__add__distrib__left_0,axiom,
% 0.75/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)),V_z) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_app__Var__IT_0,axiom,
% 0.75/0.84 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 0.75/0.84 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_Nil__is__map__conv_1,axiom,
% 0.75/0.84 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.75/0.84 ( V_ys = V_xs
% 0.75/0.84 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.75/0.84 | ~ 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) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_min__max_Osup__assoc_0,axiom,
% 0.75/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.84 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 0.75/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.84 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.75/0.84 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_rtranclp__idemp_0,axiom,
% 0.75/0.84 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_abs_0,axiom,
% 0.75/0.84 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.75/0.84 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 0.75/0.84 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.84 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_replicate__append__same_0,axiom,
% 0.75/0.84 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) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_monoid__add_Oadd__0__right_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_plus,V_a),V_zero) = V_a
% 0.75/0.84 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_monoid__add_Oadd__0__left_0,axiom,
% 0.75/0.84 ( hAPP(hAPP(V_plus,V_zero),V_a) = V_a
% 0.75/0.84 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.75/0.84 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_Suc__less__eq_0,axiom,
% 0.75/0.84 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_Suc__mono_0,axiom,
% 0.75/0.84 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_add__gr__0_2,axiom,
% 0.75/0.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_add__gr__0_1,axiom,
% 0.75/0.84 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.75/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/0.84 | ~ 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) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.75/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/0.84 | 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)
% 0.75/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_var__app__typesE_0,axiom,
% 0.75/0.84 ( 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))
% 0.75/0.84 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_substs__lemma_0,axiom,
% 0.75/0.84 ( c_Type_Otypings(V_e,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts)
% 0.75/0.84 | ~ c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts)
% 0.75/0.84 | ~ c_Type_Otyping(V_e,V_u,V_T) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_power__eq__0__iff_0,axiom,
% 0.75/0.84 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.75/0.84 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.75/0.84 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.75/0.84 | ~ class_Power_Opower(T_a)
% 0.75/0.84 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_field__power__not__zero_0,axiom,
% 0.75/0.84 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 0.75/0.84 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_double__eq__0__iff_0,axiom,
% 0.75/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.75/0.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/0.84 | ~ class_Int_Onumber__ring(T_a)
% 0.75/0.84 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.75/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_double__eq__0__iff_1,axiom,
% 0.75/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/0.84 | 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) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.75/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.75/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.75/0.84 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/0.84 | ~ class_Int_Onumber__ring(T_a)
% 0.75/0.84 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.75/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.75/0.84
% 0.75/0.84 cnf(cls_add__0__left_0,axiom,
% 0.75/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_neq0__conv_1,axiom,
% 0.75/0.85 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_liftn__0_0,axiom,
% 0.75/0.85 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_gr0I_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.75/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.75/0.85 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.75/0.85 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__is__0_1,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.75/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__is__0_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.75/0.85 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.75/0.85 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.75/0.85 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__eq__self__zero_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.75/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.75/0.85 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.75/0.85 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__is__0_2,axiom,
% 0.75/0.85 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_gr__implies__not0_0,axiom,
% 0.75/0.85 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_not__less0_0,axiom,
% 0.75/0.85 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_max__0R_0,axiom,
% 0.75/0.85 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.75/0.85 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__pos__pos_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/0.85 | 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)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.75/0.85 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.75/0.85 | V_xs = V_ys
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_semigroup__add_Oadd__assoc_0,axiom,
% 0.75/0.85 ( 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))
% 0.75/0.85 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_listsum_Osimps_I2_J_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | c_List_Olistsum(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Olistsum(V_xs,T_a)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_map__append_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/0.85 | V_x = V_y ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.75/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.85 | V_x = V_y
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_nat__neq__iff_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.85 | V_m = V_n ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_nat__less__cases_0,axiom,
% 0.75/0.85 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.75/0.85 | V_m = V_n
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.75/0.85 | V_x = V_y ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_linorder__neqE_0,axiom,
% 0.75/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/0.85 | V_x = V_y ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__replicate__commute_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_linorder__less__linear_0,axiom,
% 0.75/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.85 | V_x = V_y
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.75/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.85 | V_x = V_y
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_min__max_Osup__idem_0,axiom,
% 0.75/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.85 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__strict__mono_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/0.85 | 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)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__less__mono_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.75/0.85 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.75/0.85 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_of__nat__less__iff_1,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_of__nat__less__iff_0,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_lessI_0,axiom,
% 0.75/0.85 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_less__Suc__eq_2,axiom,
% 0.75/0.85 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_less__trans__Suc_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_listsum__foldr_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_gb__semiring_Osemiring__rules_I27_J_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q))
% 0.75/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_gb__semiring_Osemiring__rules_I28_J_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),V_x) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q))
% 0.75/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_gb__semiring_Osemiring__rules_I35_J_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q))
% 0.75/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_gb__semiring_Opwr__Suc_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_n)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_n))
% 0.75/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_replicate__add_0,axiom,
% 0.75/0.85 c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.75/0.85 ( V_ys = V_xs
% 0.75/0.85 | V_y = V_x
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_lift__map_0,axiom,
% 0.75/0.85 hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_t),V_i),c_List_Omap(c_COMBC(c_Lambda_Olift,V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_replicate__empty_0,axiom,
% 0.75/0.85 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.75/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 0.75/0.85 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)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_semigroup__add__class_Oaxioms_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.75/0.85 | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(T_a),T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_empty__replicate_0,axiom,
% 0.75/0.85 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 0.75/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_var__app__types_0,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | ~ 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)
% 0.75/0.85 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_pos__add__strict_0,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subst__lt_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 0.75/0.85 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)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osplit_2,axiom,
% 0.75/0.85 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.75/0.85 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.75/0.85 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.75/0.85 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subst__Var__IT_0,axiom,
% 0.75/0.85 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j)))
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_conversep__conversep_0,axiom,
% 0.75/0.85 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_not__add__less1_0,axiom,
% 0.75/0.85 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_not__add__less2_0,axiom,
% 0.75/0.85 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__self__conv_0,axiom,
% 0.75/0.85 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.75/0.85 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_self__append__conv_0,axiom,
% 0.75/0.85 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.75/0.85 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__self__conv2_0,axiom,
% 0.75/0.85 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.75/0.85 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_self__append__conv2_0,axiom,
% 0.75/0.85 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.75/0.85 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.75/0.85 | V_type2 = V_type2_H ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.75/0.85 | V_type1 = V_type1_H ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Suc__n__not__n_0,axiom,
% 0.75/0.85 c_Suc(V_n) != V_n ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_n__not__Suc__n_0,axiom,
% 0.75/0.85 V_n != c_Suc(V_n) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__strict__right__mono_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/0.85 | 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)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__less__cancel__right_1,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.85 | 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)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__less__cancel__right_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__strict__left__mono_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/0.85 | 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)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__less__cancel__left_1,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.85 | 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)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__less__cancel__left_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__less__mono1_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_list_Oinject_0,axiom,
% 0.75/0.85 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.75/0.85 | V_a = V_a_H ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_list_Oinject_1,axiom,
% 0.75/0.85 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.75/0.85 | V_list = V_list_H ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.75/0.85 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.75/0.85 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_typing__elims_I3_J_0,axiom,
% 0.75/0.85 ( V_T = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t)),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__is__1_5,axiom,
% 0.75/0.85 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osplit_0,axiom,
% 0.75/0.85 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.75/0.85 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.75/0.85 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.75/0.85 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.75/0.85 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.75/0.85 | V_nat = V_nat_H ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.75/0.85 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_replicate__app__Cons__same_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Suc__lessD_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_less__SucI_0,axiom,
% 0.75/0.85 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_of__nat__add_0,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.75/0.85 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_map__is__Nil__conv_0,axiom,
% 0.75/0.85 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a)
% 0.75/0.85 | V_xs = c_List_Olist_ONil(T_b) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_listsum__append_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | c_List_Olistsum(c_List_Oappend(V_xs,V_ys,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_List_Olistsum(V_xs,T_a)),c_List_Olistsum(V_ys,T_a)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append1__eq__conv_0,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | V_xs = V_ys ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append1__eq__conv_1,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | V_x = V_y ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__is__1_1,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.85 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.85 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_add__is__1_2,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.85 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.75/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.75/0.85 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__assoc_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__eq__appendI_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_xt1_I9_J_0,axiom,
% 0.75/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.75/0.85 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.75/0.85 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.75/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_accp_Ocases_0,axiom,
% 0.75/0.85 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 0.75/0.85 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_order__less__asym_0,axiom,
% 0.75/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_accp__downward_0,axiom,
% 0.75/0.85 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 0.75/0.85 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_order__less__asym_H_0,axiom,
% 0.75/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_max__0L_0,axiom,
% 0.75/0.85 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.75/0.85 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.75/0.85 | V_x = V_y
% 0.75/0.85 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.75/0.85 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.75/0.85 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.75/0.85 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_gb__semiring_Opwr__0_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1
% 0.75/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_foldl__foldr1_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_listsum_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | 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)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.75/0.85 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.75/0.85 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.75/0.85 ( ~ 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)))
% 0.75/0.85 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osplit_1,axiom,
% 0.75/0.85 ( ~ 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)))
% 0.75/0.85 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.75/0.85 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.75/0.85 hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_s),V_k)),hAPP(hAPP(c_Lambda_Olift,V_t),V_k)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 0.75/0.85 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)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_appR_0,axiom,
% 0.75/0.85 ( 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)))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_appL_0,axiom,
% 0.75/0.85 ( 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)))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.75/0.85 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)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 0.75/0.85 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)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.75/0.85 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_substn__subst__n_0,axiom,
% 0.75/0.85 c_Lambda_Osubstn(V_t,V_s,V_n) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat))),V_n) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_double__induction__lemma_0,axiom,
% 0.75/0.85 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.75/0.85 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 0.75/0.85 | 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.75/0.85 ( 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)))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_apps__preserves__betas_0,axiom,
% 0.75/0.85 ( 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)))
% 0.75/0.85 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.75/0.85 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.85 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_App__eq__foldl__conv_2,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | 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)
% 0.75/0.85 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_ex__head__tail_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.75/0.85 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.75/0.85 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.75/0.85 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.85 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_semigroup__add_Ofoldl__assoc_0,axiom,
% 0.75/0.85 ( 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))
% 0.75/0.85 | ~ c_OrderedGroup_Osemigroup__add(V_plus,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_foldl__Nil_0,axiom,
% 0.75/0.85 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_foldl__assoc_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.75/0.85 | 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)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_monoid__add_Ofoldl__absorb0_0,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | ~ c_OrderedGroup_Omonoid__add(V_zero,V_plus,T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_foldl__Cons_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_foldl__append_0,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subst__map_0,axiom,
% 0.75/0.85 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,V_u,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_i,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subst__eq_0,axiom,
% 0.75/0.85 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subst__preserves__beta_0,axiom,
% 0.75/0.85 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subst__lift_0,axiom,
% 0.75/0.85 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_typing__elims_I2_J_0,axiom,
% 0.75/0.85 ( c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_var__app__typesE_1,axiom,
% 0.75/0.85 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_list__app__typeE_0,axiom,
% 0.75/0.85 ( 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))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_list__app__typeI_0,axiom,
% 0.75/0.85 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 0.75/0.85 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.75/0.85 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_var__app__types_1,axiom,
% 0.75/0.85 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.75/0.85 | ~ 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)
% 0.75/0.85 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_list__app__typeD_0,axiom,
% 0.75/0.85 ( 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))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subject__reduction_0,axiom,
% 0.75/0.85 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.75/0.85 ( hAPP(V_e,V_i) = V_T
% 0.75/0.85 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_typing_OVar_0,axiom,
% 0.75/0.85 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_abs__typeE_0,axiom,
% 0.75/0.85 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xabs__typeE__1__2(V_e,V_t))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_typing__elims_I3_J_1,axiom,
% 0.75/0.85 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_shift__gt_0,axiom,
% 0.75/0.85 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.75/0.85 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Beta_I7_J_0,axiom,
% 0.75/0.85 c_Type_Otyping(v_ea______,v_ua______,v_T____) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Beta_I3_J_0,axiom,
% 0.75/0.85 hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_beta_0,axiom,
% 0.75/0.85 hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat)))) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_list__app__typeD_1,axiom,
% 0.75/0.85 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_list__app__typeE_1,axiom,
% 0.75/0.85 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Abs_0,axiom,
% 0.75/0.85 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))
% 0.75/0.85 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_power__eq__0__iff_2,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.75/0.85 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.75/0.85 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.75/0.85 | ~ class_Power_Opower(T_a)
% 0.75/0.85 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_power__0__left_1,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.75/0.85 | ~ class_Power_Opower(T_a)
% 0.75/0.85 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_power__eq__0__iff_1,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.75/0.85 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.75/0.85 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.75/0.85 | ~ class_Power_Opower(T_a)
% 0.75/0.85 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_of__nat__0_0,axiom,
% 0.75/0.85 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.75/0.85 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_foldl__absorb0_0,axiom,
% 0.75/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.85 | 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_substn__subst__0_0,axiom,
% 0.75/0.85 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_IT_OBeta_0,axiom,
% 0.75/0.85 ( 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)))
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.75/0.85 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) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | V_m = V_n ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | V_rs = V_ss ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.75/0.85 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.75/0.85 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | V_r = V_s ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | V_rs = V_ss ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_apps__preserves__beta_0,axiom,
% 0.75/0.85 ( 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)))
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.75/0.85 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.85 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.75/0.85 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.85 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_App_0,axiom,
% 0.75/0.85 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.75/0.85 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.75/0.85 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_typing__elims_I2_J_1,axiom,
% 0.75/0.85 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_shift__commute_0,axiom,
% 0.75/0.85 c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a) = c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_MI2_0,axiom,
% 0.75/0.85 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.75/0.85 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,V_u,V_T2)
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.75/0.85 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_MI1_0,axiom,
% 0.75/0.85 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.75/0.85 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,V_u,V_T1)
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.75/0.85 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_lift__type_0,axiom,
% 0.75/0.85 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,V_t),V_i),V_T)
% 0.75/0.85 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Beta_I5_J_0,axiom,
% 0.75/0.85 c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_var__app__type__eq_0,axiom,
% 0.75/0.85 ( V_T = V_U
% 0.75/0.85 | ~ 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)
% 0.75/0.85 | ~ 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) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_uT_0,axiom,
% 0.75/0.85 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_SI2_0,axiom,
% 0.75/0.85 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),V_u),V_i)))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,V_u,v_T____)
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.75/0.85 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,v_T____,tc_Type_Otype),v_a____,V_T_H) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_Beta_I1_J_0,axiom,
% 0.75/0.85 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_SI1_0,axiom,
% 0.75/0.85 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i)))
% 0.75/0.85 | ~ c_Type_Otyping(V_e,V_u,v_T____)
% 0.75/0.85 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.75/0.85 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),V_T_H) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_T_0,axiom,
% 0.75/0.85 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subst__App_0,axiom,
% 0.75/0.85 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_s),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_k)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_s),V_k)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.75/0.85 | V_dB1 = V_dB1_H ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.75/0.85 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.75/0.85 | V_dB2 = V_dB2_H ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_shift__eq_0,axiom,
% 0.75/0.85 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.75/0.85 ( 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)
% 0.75/0.85 | V_r = V_s ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_subst__lemma_0,axiom,
% 0.75/0.85 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.75/0.85 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.75/0.85 | c_Type_Otyping(V_e_H,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),V_T) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_CHAINED_0,axiom,
% 0.75/0.85 hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_CHAINED_0_01,axiom,
% 0.75/0.85 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_conjecture_0,negated_conjecture,
% 0.75/0.85 ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.75/0.85 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.75/0.85 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.75/0.85 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.75/0.85 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.75/0.85 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.75/0.85 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.75/0.85 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.75/0.85 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.75/0.85 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.75/0.85 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.75/0.85 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.75/0.85 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.75/0.85 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.75/0.85 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.75/0.85 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.75/0.85 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.75/0.85 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.75/0.85 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.75/0.85 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.75/0.85 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.75/0.85 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.75/0.85 class_Orderings_Opreorder(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.75/0.85 class_Orderings_Olinorder(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.75/0.85 class_Orderings_Oorder(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_nat__Power_Opower,axiom,
% 0.75/0.85 class_Power_Opower(tc_nat) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.75/0.85 class_Orderings_Opreorder(tc_bool) ).
% 0.75/0.85
% 0.75/0.85 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.75/0.85 class_Orderings_Oorder(tc_bool) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.75/0.85 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.75/0.85
% 0.75/0.85 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.75/0.85 ( V_X = V_Y
% 0.75/0.85 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.75/0.85
% 0.75/0.85 %------------------------------------------------------------------------------
% 0.75/0.85 %-------------------------------------------
% 0.75/0.85 % Proof found
% 0.75/0.85 % SZS status Theorem for theBenchmark
% 0.75/0.85 % SZS output start Proof
% 0.82/0.86 %ClaNum:661(EqnAxiom:168)
% 0.82/0.86 %VarNum:2906(SingletonVarNum:1322)
% 0.82/0.86 %MaxLitNum:6
% 0.82/0.86 %MaxfuncDepth:7
% 0.82/0.86 %SharedTerms:92
% 0.82/0.86 %goalClause: 329
% 0.82/0.86 %singleGoalClaCount:1
% 0.82/0.86 [169]P1(a1)
% 0.82/0.86 [170]P2(a1)
% 0.82/0.86 [171]P3(a1)
% 0.82/0.86 [172]P21(a1)
% 0.82/0.86 [173]P4(a1)
% 0.82/0.86 [174]P18(a1)
% 0.82/0.86 [175]P5(a1)
% 0.82/0.86 [176]P19(a1)
% 0.82/0.86 [177]P25(a1)
% 0.82/0.86 [178]P25(a2)
% 0.82/0.86 [179]P26(a1)
% 0.82/0.86 [180]P26(a2)
% 0.82/0.86 [181]P28(a1)
% 0.82/0.86 [182]P27(a1)
% 0.82/0.86 [183]P6(a1)
% 0.82/0.86 [184]P29(a1)
% 0.82/0.86 [185]P22(a1)
% 0.82/0.86 [186]P35(a1)
% 0.82/0.86 [187]P30(a1)
% 0.82/0.86 [188]P31(a1)
% 0.82/0.86 [189]P23(a1)
% 0.82/0.86 [190]P24(a1)
% 0.82/0.86 [191]P36(a1)
% 0.82/0.86 [196]P7(a56,a50,a53)
% 0.82/0.86 [197]P7(a57,a51,a53)
% 0.82/0.86 [192]P37(f7(a3,a50))
% 0.82/0.86 [193]P37(f7(a3,a51))
% 0.82/0.86 [194]P37(f7(a3,a52))
% 0.82/0.86 [329]~P7(f35(a57,a60,a53,a48),f25(a9,f7(f7(f7(a20,a61),a52),f6(a1)),a58,a46,a46),a55)
% 0.82/0.86 [288]P7(f35(a56,a59,a53,a48),f25(a9,f7(f7(a9,f11(a61)),a52),a58,a46,a46),a54)
% 0.82/0.86 [290]P7(f35(a57,a60,a53,a48),f25(a9,f7(f7(a9,f11(a61)),a52),a58,a46,a46),a55)
% 0.82/0.86 [295]P37(f7(a3,f25(a9,f7(f7(f7(a20,a61),a52),f6(a1)),a58,a46,a46)))
% 0.82/0.86 [298]P37(f7(f7(a10,f25(a9,f7(f7(a9,f11(a61)),a52),a58,a46,a46)),f25(a9,f7(f7(f7(a20,a61),a52),f6(a1)),a58,a46,a46)))
% 0.82/0.86 [313]~P8(x3131,x3131,a1)
% 0.82/0.86 [207]P8(x2071,f31(x2071),a1)
% 0.82/0.86 [217]P8(f6(a1),f31(x2171),a1)
% 0.82/0.86 [301]~E(f31(x3011),x3011)
% 0.82/0.86 [305]~E(f31(x3051),f6(a1))
% 0.82/0.86 [317]~P8(x3171,f6(a1),a1)
% 0.82/0.86 [195]P37(f7(a3,f8(x1951)))
% 0.82/0.86 [199]E(f7(f7(f4(a1),x1991),f6(a1)),x1991)
% 0.82/0.86 [202]E(f13(x2021,f6(a1),a1),x2021)
% 0.82/0.86 [203]E(f13(f6(a1),x2031,a1),x2031)
% 0.82/0.86 [218]E(f32(f34(x2181),x2181,x2181),f34(x2181))
% 0.82/0.86 [274]E(f25(a9,f21(x2741),f22(x2741),a46,a46),x2741)
% 0.82/0.86 [200]E(f7(f7(f4(a1),f6(a1)),x2001),x2001)
% 0.82/0.86 [208]P10(x2081,f18(x2082),x2082)
% 0.82/0.86 [226]P7(x2261,f8(x2262),f7(x2261,x2262))
% 0.82/0.86 [307]~E(f11(x3071),f8(x3072))
% 0.82/0.86 [201]E(f12(f12(x2011,x2012),x2012),f12(x2011,x2012))
% 0.82/0.86 [205]E(f14(f6(a1),x2051,x2052),x2051)
% 0.82/0.86 [212]E(f19(x2121,f18(x2122),x2122),x2121)
% 0.82/0.86 [213]E(f19(f18(x2131),x2132,x2131),x2132)
% 0.82/0.86 [215]E(f27(f6(a1),x2151,x2152),f18(x2152))
% 0.82/0.86 [235]E(f13(f31(x2351),f31(x2352),a1),f31(f13(x2351,x2352,a1)))
% 0.82/0.86 [259]E(f7(f7(f7(a20,x2591),f14(f6(a1),x2592,f6(a1))),f6(a1)),f7(f7(f7(a20,x2591),x2592),f6(a1)))
% 0.82/0.86 [227]E(f7(f7(f4(a1),x2271),x2272),f7(f7(f4(a1),x2272),x2271))
% 0.82/0.86 [228]P37(f7(f7(f34(x2281),x2282),x2282))
% 0.82/0.86 [229]E(f7(f7(f4(a1),f31(x2291)),x2292),f7(f7(f4(a1),x2291),f31(x2292)))
% 0.82/0.86 [267]P37(f7(f7(a10,f7(f7(a9,f11(x2671)),x2672)),f7(f7(f7(a20,x2671),x2672),f6(a1))))
% 0.82/0.86 [322]~P37(f7(f7(a10,f8(x3221)),x3222))
% 0.82/0.86 [323]~P8(f7(f7(f4(a1),x3231),x3232),x3232,a1)
% 0.82/0.86 [324]~P8(f7(f7(f4(a1),x3241),x3242),x3241,a1)
% 0.82/0.86 [230]E(f7(f7(f7(a20,f8(x2301)),x2302),x2301),x2302)
% 0.82/0.86 [232]E(f31(f7(f7(f4(a1),x2321),x2322)),f7(f7(f4(a1),x2321),f31(x2322)))
% 0.82/0.86 [233]E(f31(f7(f7(f4(a1),x2331),x2332)),f7(f7(f4(a1),f31(x2331)),x2332))
% 0.82/0.86 [241]P8(x2411,f31(f7(f7(f4(a1),x2412),x2411)),a1)
% 0.82/0.86 [243]P8(x2431,f31(f7(f7(f4(a1),x2431),x2432)),a1)
% 0.82/0.86 [315]~E(f24(x3151,x3152,x3153),x3152)
% 0.82/0.86 [320]~E(f24(x3201,x3202,x3203),f18(x3203))
% 0.82/0.86 [325]~P11(x3251,x3252,f18(x3253),x3253)
% 0.82/0.86 [326]~P11(x3261,f18(x3262),x3263,x3262)
% 0.82/0.86 [231]E(f27(f6(a1),x2311,x2312),f27(f6(a1),x2313,x2312))
% 0.82/0.86 [234]E(f32(f32(x2341,x2342,x2343),x2343,x2342),x2341)
% 0.82/0.86 [239]E(f24(x2391,f27(x2392,x2391,x2393),x2393),f27(f31(x2392),x2391,x2393))
% 0.82/0.86 [245]E(f28(x2451,f18(x2452),x2452,x2453),f18(x2453))
% 0.82/0.86 [308]~E(f8(x3081),f7(f7(a9,x3082),x3083))
% 0.82/0.86 [309]~E(f11(x3091),f7(f7(a9,x3092),x3093))
% 0.82/0.86 [310]~E(f7(f7(a9,x3101),x3102),f8(x3103))
% 0.82/0.86 [311]~E(f7(f7(a9,x3111),x3112),f11(x3113))
% 0.82/0.86 [237]P37(f7(f7(f12(x2371,x2372),x2373),x2373))
% 0.82/0.86 [247]E(f7(f7(a15,f14(x2471,x2472,x2473)),x2473),f14(f31(x2471),x2472,x2473))
% 0.82/0.86 [262]E(f19(f27(x2621,x2622,x2623),f24(x2622,f18(x2623),x2623),x2623),f24(x2622,f27(x2621,x2622,x2623),x2623))
% 0.82/0.86 [297]E(f25(a9,f7(f7(a15,x2971),x2972),f28(f5(a15,x2972,a46,a1,a46),x2973,a46,a46),a46,a46),f7(f7(a15,f25(a9,x2971,x2973,a46,a46)),x2972))
% 0.82/0.86 [246]E(f7(f7(f4(a1),x2461),f7(f7(f4(a1),x2462),x2463)),f7(f7(f4(a1),x2462),f7(f7(f4(a1),x2461),x2463)))
% 0.82/0.86 [260]E(f7(f7(a9,f7(f7(a15,x2601),x2602)),f7(f7(a15,x2603),x2602)),f7(f7(a15,f7(f7(a9,x2601),x2603)),x2602))
% 0.82/0.86 [256]E(f7(f7(f4(a1),f7(f7(f4(a1),x2561),x2562)),x2563),f7(f7(f4(a1),x2561),f7(f7(f4(a1),x2562),x2563)))
% 0.82/0.86 [257]E(f7(f7(f7(a20,f7(f7(a15,x2571),x2572)),x2573),x2572),x2571)
% 0.82/0.86 [253]E(f19(f19(x2531,x2532,x2533),x2534,x2533),f19(x2531,f19(x2532,x2534,x2533),x2533))
% 0.82/0.86 [255]E(f24(x2551,f19(x2552,x2553,x2554),x2554),f19(f24(x2551,x2552,x2554),x2553,x2554))
% 0.82/0.86 [264]E(f7(f35(x2641,x2642,x2643,x2644),x2642),x2643)
% 0.82/0.86 [265]E(f19(f27(x2651,x2652,x2653),f27(x2654,x2652,x2653),x2653),f19(f27(x2654,x2652,x2653),f27(x2651,x2652,x2653),x2653))
% 0.82/0.86 [272]E(f25(x2721,x2722,f18(x2723),x2724,x2723),x2722)
% 0.82/0.86 [273]E(f26(x2731,f18(x2732),x2733,x2732,x2734),x2733)
% 0.82/0.86 [328]~E(f25(a9,f11(x3281),x3282,a46,a46),f25(a9,f8(x3283),x3284,a46,a46))
% 0.82/0.86 [263]E(f7(f7(a9,f14(x2631,x2632,x2633)),f14(x2631,x2634,x2633)),f14(x2631,f7(f7(a9,x2632),x2634),x2633))
% 0.82/0.86 [266]E(f24(x2661,f19(f27(x2662,x2661,x2663),x2664,x2663),x2663),f19(f27(x2662,x2661,x2663),f24(x2661,x2664,x2663),x2663))
% 0.82/0.86 [327]~E(f7(f7(a9,f11(x3271)),x3272),f25(a9,f8(x3273),x3274,a46,a46))
% 0.82/0.86 [258]E(f19(f27(x2581,x2582,x2583),f27(x2584,x2582,x2583),x2583),f27(f7(f7(f4(a1),x2581),x2584),x2582,x2583))
% 0.82/0.86 [268]E(f7(f7(a9,f7(f7(f7(a20,x2681),x2682),x2683)),f7(f7(f7(a20,x2684),x2682),x2683)),f7(f7(f7(a20,f7(f7(a9,x2681),x2684)),x2682),x2683))
% 0.82/0.86 [299]E(f25(a9,f7(f7(f7(a20,x2991),x2992),x2993),f28(f5(f5(a20,x2992,a46,a46,f49(a1,a46)),x2993,a46,a1,a46),x2994,a46,a46),a46,a46),f7(f7(f7(a20,f25(a9,x2991,x2994,a46,a46)),x2992),x2993))
% 0.82/0.86 [261]E(f28(x2611,f27(x2612,x2613,x2614),x2614,x2615),f27(x2612,f7(x2611,x2613),x2615))
% 0.82/0.86 [270]E(f28(x2701,f24(x2702,x2703,x2704),x2704,x2705),f24(f7(x2701,x2702),f28(x2701,x2703,x2704,x2705),x2705))
% 0.82/0.86 [271]E(f24(f7(x2711,x2712),f28(x2711,x2713,x2714,x2715),x2715),f28(x2711,f24(x2712,x2713,x2714),x2714,x2715))
% 0.82/0.86 [278]E(f16(x2781,x2782,x2783,f8(x2784),x2785),f7(x2781,x2784))
% 0.82/0.86 [279]E(f16(x2791,x2792,x2793,f11(x2794),x2795),f7(x2793,x2794))
% 0.82/0.86 [280]E(f17(x2801,x2802,x2803,f8(x2804),x2805),f7(x2801,x2804))
% 0.82/0.86 [283]E(f19(f28(x2831,x2832,x2833,x2834),f28(x2831,x2835,x2833,x2834),x2834),f28(x2831,f19(x2832,x2835,x2833),x2833,x2834))
% 0.82/0.86 [284]E(f35(f35(x2841,f6(a1),x2842,x2843),f31(x2844),x2845,x2843),f35(f35(x2841,x2844,x2845,x2843),f6(a1),x2842,x2843))
% 0.82/0.86 [291]E(f7(f7(x2911,x2912),f17(x2913,x2914,x2911,x2912,x2915)),f17(x2913,x2914,x2911,f11(x2912),x2915))
% 0.82/0.86 [285]E(f7(f5(x2851,x2852,x2853,x2854,x2855),x2856),f7(f7(x2851,x2856),x2852))
% 0.82/0.86 [292]E(f26(x2921,f24(x2922,x2923,x2924),x2925,x2924,x2926),f7(f7(x2921,x2922),f26(x2921,x2923,x2925,x2924,x2926)))
% 0.82/0.86 [293]E(f25(x2931,f25(x2931,x2932,x2933,x2934,x2935),x2936,x2934,x2935),f25(x2931,x2932,f19(x2933,x2936,x2935),x2934,x2935))
% 0.82/0.86 [294]E(f26(x2941,x2942,f26(x2941,x2943,x2944,x2945,x2946),x2945,x2946),f26(x2941,f19(x2942,x2943,x2945),x2944,x2945,x2946))
% 0.82/0.86 [282]E(f16(x2821,x2822,x2823,f7(f7(a9,x2824),x2825),x2826),f7(f7(x2822,x2824),x2825))
% 0.82/0.86 [287]E(f25(x2871,x2872,f24(x2873,x2874,x2875),x2876,x2875),f25(x2871,f7(f7(x2871,x2872),x2873),x2874,x2876,x2875))
% 0.82/0.86 [296]E(f7(f7(f7(f7(x2961,x2962),x2963),f17(x2964,x2961,x2965,x2962,x2966)),f17(x2964,x2961,x2965,x2963,x2966)),f17(x2964,x2961,x2965,f7(f7(a9,x2962),x2963),x2966))
% 0.82/0.86 [334]~P24(x3341)+P12(f4(x3341),x3341)
% 0.82/0.86 [340]E(x3401,f6(a1))+P8(f6(a1),x3401,a1)
% 0.82/0.86 [441]P15(f32(a10,a46,a46),x4411,a46)+~P37(f7(a3,x4411))
% 0.82/0.86 [468]~P15(f32(a10,a46,a46),x4681,a46)+P37(f7(a3,x4681))
% 0.82/0.86 [335]~P36(x3351)+E(f30(f6(a1),x3351),f6(x3351))
% 0.82/0.86 [336]~P3(x3361)+E(f29(f18(x3361),x3361),f6(x3361))
% 0.82/0.86 [354]~P20(x3541)+E(f7(f7(f4(x3541),f6(x3541)),f6(x3541)),f6(x3541))
% 0.82/0.86 [355]~P37(f7(a3,x3551))+P37(f7(a3,f11(x3551)))
% 0.82/0.86 [383]E(x3831,f6(a1))+~P8(x3831,f31(f6(a1)),a1)
% 0.82/0.86 [600]~P10(a3,x6001,a46)+P10(a3,f28(f5(a15,f6(a1),a46,a1,a46),x6001,a46,a46),a46)
% 0.82/0.86 [364]~P8(x3642,x3642,x3641)+~P2(x3641)
% 0.82/0.86 [365]~P8(x3652,x3652,x3651)+~P25(x3651)
% 0.82/0.86 [366]~P8(x3662,x3662,x3661)+~P26(x3661)
% 0.82/0.86 [330]E(x3301,x3302)+~E(f8(x3301),f8(x3302))
% 0.82/0.86 [332]E(x3321,x3322)+~E(f31(x3321),f31(x3322))
% 0.82/0.86 [333]E(x3331,x3332)+~E(f11(x3331),f11(x3332))
% 0.82/0.86 [337]~P25(x3372)+P25(f49(x3371,x3372))
% 0.82/0.86 [338]~P26(x3382)+P26(f49(x3381,x3382))
% 0.82/0.86 [341]~P2(x3412)+E(f13(x3411,x3411,x3412),x3411)
% 0.82/0.86 [390]P8(x3901,x3902,a1)+P8(x3902,f31(x3901),a1)
% 0.82/0.86 [407]~P8(x4071,x4072,a1)+P8(x4071,f31(x4072),a1)
% 0.82/0.86 [408]~P29(x4081)+~P8(f30(x4082,x4081),f6(x4081),x4081)
% 0.82/0.86 [409]P8(x4091,x4092,a1)+~P8(f31(x4091),x4092,a1)
% 0.82/0.86 [419]~P8(x4191,x4192,a1)+P8(f31(x4191),f31(x4192),a1)
% 0.82/0.86 [420]P8(x4201,x4202,a1)+~P8(f31(x4201),f31(x4202),a1)
% 0.82/0.86 [432]~P8(x4321,x4322,a1)+~P8(x4322,f31(x4321),a1)
% 0.82/0.86 [342]~P1(x3421)+E(f7(f7(f4(x3421),x3422),f6(x3421)),x3422)
% 0.82/0.86 [343]~P3(x3431)+E(f7(f7(f4(x3431),x3432),f6(x3431)),x3432)
% 0.82/0.86 [344]~P19(x3441)+E(f7(f7(f4(x3441),x3442),f6(x3441)),x3442)
% 0.82/0.86 [455]~P37(f7(f7(a10,x4551),x4552))+P37(f7(f7(a10,f11(x4551)),f11(x4552)))
% 0.82/0.86 [561]~P3(x5611)+E(f26(f4(x5611),x5612,f6(x5611),x5611,x5611),f29(x5612,x5611))
% 0.82/0.86 [562]~P3(x5621)+E(f25(f4(x5621),f6(x5621),x5622,x5621,x5621),f29(x5622,x5621))
% 0.82/0.86 [584]~P3(x5841)+E(f26(f4(x5841),x5842,f6(x5841),x5841,x5841),f25(f4(x5841),f6(x5841),x5842,x5841,x5841))
% 0.82/0.86 [346]~P1(x3461)+E(f7(f7(f4(x3461),f6(x3461)),x3462),x3462)
% 0.82/0.86 [347]~P3(x3471)+E(f7(f7(f4(x3471),f6(x3471)),x3472),x3472)
% 0.82/0.86 [348]~P19(x3481)+E(f7(f7(f4(x3481),f6(x3481)),x3482),x3482)
% 0.82/0.86 [351]E(x3511,f6(a1))+~E(f7(f7(f4(a1),x3512),x3511),x3512)
% 0.82/0.86 [352]E(x3521,f6(a1))+~E(f7(f7(f4(a1),x3522),x3521),f6(a1))
% 0.82/0.86 [353]E(x3531,f6(a1))+~E(f7(f7(f4(a1),x3531),x3532),f6(a1))
% 0.82/0.86 [406]~P8(x4061,x4062,a1)+E(f7(f7(a15,f8(x4061)),x4062),f8(x4061))
% 0.82/0.86 [447]~P37(f7(a3,x4471))+P37(f7(a3,f7(f7(a15,x4471),x4472)))
% 0.82/0.86 [460]~P37(f7(a3,x4601))+P37(f7(a3,f7(f7(a9,x4601),f8(x4602))))
% 0.82/0.86 [521]P37(f7(f7(f12(a10,a46),f11(x5211)),f11(x5212)))+~P37(f7(f7(f12(a10,a46),x5211),x5212))
% 0.82/0.86 [599]~P10(a3,x5992,a46)+P37(f7(a3,f25(a9,f8(x5991),x5992,a46,a46)))
% 0.82/0.86 [362]~E(f19(x3623,x3621,x3622),x3623)+E(x3621,f18(x3622))
% 0.82/0.86 [363]~E(f19(x3631,x3633,x3632),x3633)+E(x3631,f18(x3632))
% 0.82/0.86 [368]~E(f27(x3681,x3682,x3683),f18(x3683))+E(x3681,f6(a1))
% 0.82/0.86 [376]~E(f19(x3763,x3761,x3762),f18(x3762))+E(x3761,f18(x3762))
% 0.82/0.86 [377]~E(f19(x3771,x3773,x3772),f18(x3772))+E(x3771,f18(x3772))
% 0.82/0.86 [386]~P7(x3861,f8(x3862),x3863)+E(f7(x3861,x3862),x3863)
% 0.82/0.86 [392]~P2(x3923)+E(f13(x3921,x3922,x3923),f13(x3922,x3921,x3923))
% 0.82/0.86 [575]~E(f8(x5752),f25(a9,x5753,x5751,a46,a46))+E(x5751,f18(a46))
% 0.82/0.86 [576]~E(f11(x5762),f25(a9,x5763,x5761,a46,a46))+E(x5761,f18(a46))
% 0.82/0.86 [577]~E(f25(a9,x5772,x5771,a46,a46),f11(x5773))+E(x5771,f18(a46))
% 0.82/0.86 [578]E(x5781,f11(x5782))+~E(f25(a9,x5781,x5783,a46,a46),f11(x5782))
% 0.82/0.86 [579]E(f8(x5791),x5792)+~E(f8(x5791),f25(a9,x5792,x5793,a46,a46))
% 0.82/0.86 [580]E(f11(x5801),x5802)+~E(f11(x5801),f25(a9,x5802,x5803,a46,a46))
% 0.82/0.86 [590]E(x5901,x5902)+~E(f25(a9,x5901,x5903,a46,a46),f25(a9,x5902,x5903,a46,a46))
% 0.82/0.86 [413]~P8(x4132,x4133,a1)+E(f14(x4131,f8(x4132),x4133),f8(x4132))
% 0.82/0.86 [445]~P3(x4451)+E(f7(f7(f4(x4451),x4452),f29(x4453,x4451)),f29(f24(x4452,x4453,x4451),x4451))
% 0.82/0.86 [448]~P2(x4483)+E(f13(x4481,f13(x4481,x4482,x4483),x4483),f13(x4481,x4482,x4483))
% 0.82/0.86 [466]~P3(x4661)+E(f7(f7(f4(x4661),f29(x4662,x4661)),f29(x4663,x4661)),f29(f19(x4662,x4663,x4661),x4661))
% 0.82/0.86 [522]~P7(x5222,f11(x5223),x5221)+E(f7(f7(a36,f37(x5221,x5222,x5223)),f43(x5221,x5222,x5223)),x5221)
% 0.82/0.86 [540]~P7(x5401,f11(x5402),x5403)+P7(f35(x5401,f6(a1),f38(x5401,x5402),a48),x5402,f39(x5401,x5402))
% 0.82/0.86 [554]~P7(x5541,f11(x5543),x5542)+P7(f35(x5541,f6(a1),f37(x5542,x5541,x5543),a48),x5543,f43(x5542,x5541,x5543))
% 0.82/0.86 [581]E(f7(f7(a9,x5811),x5812),x5813)+~E(f7(f7(a9,x5811),x5812),f25(a9,x5813,f18(a46),a46,a46))
% 0.82/0.86 [583]~P5(x5831)+E(f26(f4(x5831),x5832,x5833,x5831,x5831),f25(f4(x5831),x5833,x5832,x5831,x5831))
% 0.82/0.86 [655]~P37(f7(f7(a10,x6551),x6553))+P37(f7(f7(a10,f25(a9,x6551,x6552,a46,a46)),f25(a9,x6553,x6552,a46,a46)))
% 0.82/0.86 [657]~P11(a10,x6572,x6573,a46)+P37(f7(f7(a10,f25(a9,x6571,x6572,a46,a46)),f25(a9,x6571,x6573,a46,a46)))
% 0.82/0.86 [388]~P1(x3881)+E(f7(f7(f4(x3881),x3882),x3883),f7(f7(f4(x3881),x3883),x3882))
% 0.82/0.86 [389]~P19(x3891)+E(f7(f7(f4(x3891),x3892),x3893),f7(f7(f4(x3891),x3893),x3892))
% 0.82/0.86 [411]E(x4111,x4112)+~E(f7(f7(f4(a1),x4113),x4111),f7(f7(f4(a1),x4113),x4112))
% 0.82/0.86 [412]E(x4121,x4122)+~E(f7(f7(f4(a1),x4121),x4123),f7(f7(f4(a1),x4122),x4123))
% 0.82/0.86 [423]E(x4231,x4232)+~P37(f7(f7(f34(x4233),x4231),x4232))
% 0.82/0.86 [450]~P8(x4501,x4503,a1)+P8(x4501,f7(f7(f4(a1),x4502),x4503),a1)
% 0.82/0.86 [452]~P8(x4521,x4522,a1)+P8(x4521,f7(f7(f4(a1),x4522),x4523),a1)
% 0.82/0.86 [475]P8(x4751,x4752,a1)+~P8(f7(f7(f4(a1),x4751),x4753),x4752,a1)
% 0.82/0.86 [485]~P8(x4851,x4853,a1)+P8(f7(f7(f4(a1),x4851),x4852),f7(f7(f4(a1),x4853),x4852),a1)
% 0.82/0.86 [486]~P8(x4862,x4863,a1)+P8(f7(f7(f4(a1),x4861),x4862),f7(f7(f4(a1),x4861),x4863),a1)
% 0.82/0.86 [516]P8(x5161,x5162,a1)+~P8(f7(f7(f4(a1),x5163),x5161),f7(f7(f4(a1),x5163),x5162),a1)
% 0.82/0.86 [534]~P37(f7(f7(a10,x5341),x5343))+P37(f7(f7(a10,f7(f7(a9,x5341),x5342)),f7(f7(a9,x5343),x5342)))
% 0.82/0.86 [535]~P37(f7(f7(a10,x5352),x5353))+P37(f7(f7(a10,f7(f7(a9,x5351),x5352)),f7(f7(a9,x5351),x5353)))
% 0.82/0.86 [536]~P37(f7(f7(a10,x5361),x5363))+P37(f7(f7(a10,f7(f7(a15,x5361),x5362)),f7(f7(a15,x5363),x5362)))
% 0.82/0.86 [546]~P37(f7(f7(f12(a10,a46),x5461),x5463))+P37(f7(f7(f12(a10,a46),f7(f7(a9,x5461),x5462)),f7(f7(a9,x5463),x5462)))
% 0.82/0.86 [547]~P37(f7(f7(f12(a10,a46),x5472),x5473))+P37(f7(f7(f12(a10,a46),f7(f7(a9,x5471),x5472)),f7(f7(a9,x5471),x5473)))
% 0.82/0.86 [548]~P37(f7(f7(f12(a10,a46),x5481),x5483))+P37(f7(f7(f12(a10,a46),f7(f7(a15,x5481),x5482)),f7(f7(a15,x5483),x5482)))
% 0.82/0.86 [586]~P3(x5861)+E(f7(f7(f4(x5861),x5862),f26(f4(x5861),x5863,f6(x5861),x5861,x5861)),f25(f4(x5861),x5862,x5863,x5861,x5861))
% 0.82/0.86 [587]~P3(x5871)+E(f7(f7(f4(x5871),x5872),f25(f4(x5871),f6(x5871),x5873,x5871,x5871)),f25(f4(x5871),x5872,x5873,x5871,x5871))
% 0.82/0.86 [656]P37(f7(f7(f12(a10,a46),f25(a9,x6561,x6562,a46,a46)),f25(a9,x6563,x6562,a46,a46)))+~P37(f7(f7(f12(a10,a46),x6561),x6563))
% 0.82/0.86 [443]~P8(x4431,x4433,a1)+E(f7(f7(f7(a20,f8(x4431)),x4432),x4433),f8(x4431))
% 0.82/0.86 [446]P8(x4462,x4463,a1)+E(f14(x4461,f8(x4462),x4463),f8(f7(f7(f4(a1),x4462),x4461)))
% 0.82/0.86 [461]~P36(x4611)+E(f7(f7(f4(x4611),f30(x4612,x4611)),f30(x4613,x4611)),f30(f7(f7(f4(a1),x4612),x4613),x4611))
% 0.82/0.86 [523]~P37(f7(a3,x5231))+P37(f7(a3,f7(f7(f7(a20,x5231),f8(x5232)),x5233)))
% 0.82/0.86 [425]E(x4251,x4252)+~E(f19(x4253,x4251,x4254),f19(x4253,x4252,x4254))
% 0.82/0.86 [426]E(x4261,x4262)+~E(f19(x4261,x4263,x4264),f19(x4262,x4263,x4264))
% 0.82/0.86 [477]P10(x4771,x4772,x4773)+~P10(x4771,f19(x4774,x4772,x4773),x4773)
% 0.82/0.86 [478]P10(x4781,x4782,x4783)+~P10(x4781,f19(x4782,x4784,x4783),x4783)
% 0.82/0.86 [508]~E(f28(x5083,x5081,x5082,x5084),f18(x5084))+E(x5081,f18(x5082))
% 0.82/0.86 [596]P16(x5961,x5962,f41(x5963,x5961,x5964,x5962))+~P7(x5961,f25(a9,x5964,x5962,a46,a46),x5963)
% 0.82/0.86 [597]P16(x5971,x5972,f42(x5973,x5971,x5974,x5972))+~P7(x5971,f25(a9,x5974,x5972,a46,a46),x5973)
% 0.82/0.86 [393]E(x3931,x3932)+~E(f7(f7(a9,x3933),x3931),f7(f7(a9,x3934),x3932))
% 0.82/0.86 [394]E(x3941,x3942)+~E(f7(f7(a36,x3943),x3941),f7(f7(a36,x3944),x3942))
% 0.82/0.86 [395]E(x3951,x3952)+~E(f7(f7(a9,x3951),x3953),f7(f7(a9,x3952),x3954))
% 0.82/0.86 [396]E(x3961,x3962)+~E(f7(f7(a36,x3961),x3963),f7(f7(a36,x3962),x3964))
% 0.82/0.86 [404]~P13(x4042,x4041,x4044)+E(f7(f7(x4041,x4042),x4043),x4043)
% 0.82/0.86 [405]~P13(x4053,x4051,x4054)+E(f7(f7(x4051,x4052),x4053),x4052)
% 0.82/0.86 [490]~P2(x4904)+E(f13(x4901,f13(x4902,x4903,x4904),x4904),f13(x4902,f13(x4901,x4903,x4904),x4904))
% 0.82/0.86 [491]~P2(x4913)+E(f13(f13(x4911,x4912,x4913),x4914,x4913),f13(x4911,f13(x4912,x4914,x4913),x4913))
% 0.82/0.86 [543]P7(x5431,x5432,f40(x5433,x5431,x5434,x5432))+~P7(x5431,f7(f7(a9,x5434),x5432),x5433)
% 0.82/0.86 [556]P7(x5561,f11(x5562),f7(f7(a36,x5563),x5564))+~P7(f35(x5561,f6(a1),x5563,a48),x5562,x5564)
% 0.82/0.86 [592]E(x5921,x5922)+~E(f25(a9,f8(x5923),x5921,a46,a46),f25(a9,f8(x5924),x5922,a46,a46))
% 0.82/0.86 [593]E(x5931,x5932)+~E(f25(a9,f11(x5933),x5931,a46,a46),f25(a9,f11(x5934),x5932,a46,a46))
% 0.82/0.86 [594]E(x5941,x5942)+~E(f25(a9,f8(x5941),x5943,a46,a46),f25(a9,f8(x5942),x5944,a46,a46))
% 0.82/0.86 [595]E(x5951,x5952)+~E(f25(a9,f11(x5951),x5953,a46,a46),f25(a9,f11(x5952),x5954,a46,a46))
% 0.82/0.86 [598]P16(x5981,x5982,f44(x5983,x5981,x5984,x5982))+~P7(x5981,f25(a9,f8(x5984),x5982,a46,a46),x5983)
% 0.82/0.86 [603]~P7(x6031,f25(a9,x6032,x6034,a46,a46),x6033)+P7(x6031,x6032,f26(a36,f41(x6033,x6031,x6032,x6034),x6033,a48,a48))
% 0.82/0.86 [604]~P7(x6041,f25(a9,x6042,x6044,a46,a46),x6043)+P7(x6041,x6042,f26(a36,f42(x6043,x6041,x6042,x6044),x6043,a48,a48))
% 0.82/0.86 [605]~P7(x6051,f25(a9,f8(x6052),x6054,a46,a46),x6053)+P7(x6051,f8(x6052),f26(a36,f44(x6053,x6051,x6052,x6054),x6053,a48,a48))
% 0.82/0.86 [479]~P37(f7(f7(x4791,x4793),x4794))+P37(f7(f7(f12(x4791,x4792),x4793),x4794))
% 0.82/0.86 [582]~P7(x5821,f7(f7(a9,x5822),x5824),x5823)+P7(x5821,x5822,f7(f7(a36,f40(x5823,x5821,x5822,x5824)),x5823))
% 0.82/0.86 [480]~P1(x4801)+E(f7(f7(f4(x4801),x4802),f7(f7(f4(x4801),x4803),x4804)),f7(f7(f4(x4801),x4803),f7(f7(f4(x4801),x4802),x4804)))
% 0.82/0.86 [481]~P17(x4811)+E(f7(f7(f4(x4811),x4812),f7(f7(f4(x4811),x4813),x4814)),f7(f7(f4(x4811),x4813),f7(f7(f4(x4811),x4812),x4814)))
% 0.82/0.86 [482]~P19(x4821)+E(f7(f7(f4(x4821),x4822),f7(f7(f4(x4821),x4823),x4824)),f7(f7(f4(x4821),x4823),f7(f7(f4(x4821),x4822),x4824)))
% 0.82/0.86 [527]~P22(x5271)+E(f13(f7(f7(f4(x5271),x5272),x5273),f7(f7(f4(x5271),x5274),x5273),x5271),f7(f7(f4(x5271),f13(x5272,x5274,x5271)),x5273))
% 0.82/0.86 [560]~P37(f7(f7(a10,x5601),x5604))+P37(f7(f7(a10,f7(f7(f7(a20,x5601),x5602),x5603)),f7(f7(f7(a20,x5604),x5602),x5603)))
% 0.82/0.86 [563]~P37(f7(f7(a10,x5632),x5634))+P37(f7(f7(f12(a10,a46),f7(f7(f7(a20,x5631),x5632),x5633)),f7(f7(f7(a20,x5631),x5634),x5633)))
% 0.82/0.86 [565]~P37(f7(f7(f12(x5651,x5652),x5654),x5653))+P37(f7(f7(f12(f32(x5651,x5652,x5652),x5652),x5653),x5654))
% 0.82/0.86 [566]~P37(f7(f7(f12(a10,a46),x5661),x5664))+P37(f7(f7(f12(a10,a46),f7(f7(f7(a20,x5661),x5662),x5663)),f7(f7(f7(a20,x5664),x5662),x5663)))
% 0.82/0.86 [567]~P37(f7(f7(f12(a10,a46),x5672),x5674))+P37(f7(f7(f12(a10,a46),f7(f7(f7(a20,x5671),x5672),x5673)),f7(f7(f7(a20,x5671),x5674),x5673)))
% 0.82/0.86 [574]P37(f7(f7(f12(x5741,x5742),x5743),x5744))+~P37(f7(f7(f12(f32(x5741,x5742,x5742),x5742),x5744),x5743))
% 0.82/0.86 [591]~P24(x5911)+E(f25(f4(x5911),f7(f7(f4(x5911),x5912),x5913),x5914,x5911,x5911),f7(f7(f4(x5911),x5912),f25(f4(x5911),x5913,x5914,x5911,x5911)))
% 0.82/0.86 [513]~P1(x5131)+E(f7(f7(f4(x5131),f7(f7(f4(x5131),x5132),x5133)),x5134),f7(f7(f4(x5131),x5132),f7(f7(f4(x5131),x5133),x5134)))
% 0.82/0.86 [514]~P5(x5141)+E(f7(f7(f4(x5141),f7(f7(f4(x5141),x5142),x5143)),x5144),f7(f7(f4(x5141),x5142),f7(f7(f4(x5141),x5143),x5144)))
% 0.82/0.86 [515]~P19(x5151)+E(f7(f7(f4(x5151),f7(f7(f4(x5151),x5152),x5153)),x5154),f7(f7(f4(x5151),x5152),f7(f7(f4(x5151),x5153),x5154)))
% 0.82/0.86 [526]~P1(x5261)+E(f7(f7(f4(x5261),f7(f7(f4(x5261),x5262),x5263)),x5264),f7(f7(f4(x5261),f7(f7(f4(x5261),x5262),x5264)),x5263))
% 0.82/0.86 [424]E(x4241,x4242)+~E(f24(x4243,x4241,x4244),f24(x4245,x4242,x4244))
% 0.82/0.86 [427]E(x4271,x4272)+~E(f27(x4271,x4273,x4274),f27(x4272,x4275,x4274))
% 0.82/0.86 [428]E(x4281,x4282)+~E(f24(x4281,x4283,x4284),f24(x4282,x4285,x4284))
% 0.82/0.86 [549]~P11(x5491,x5492,x5495,x5494)+P11(x5491,f19(x5492,x5493,x5494),f19(x5495,x5493,x5494),x5494)
% 0.82/0.86 [550]~P11(x5501,x5503,x5505,x5504)+P11(x5501,f19(x5502,x5503,x5504),f19(x5502,x5505,x5504),x5504)
% 0.82/0.86 [551]~P11(x5511,x5513,x5515,x5514)+P11(x5511,f24(x5512,x5513,x5514),f24(x5512,x5515,x5514),x5514)
% 0.82/0.86 [530]P11(x5301,f24(x5302,x5303,x5304),f24(x5305,x5303,x5304),x5304)+~P37(f7(f7(x5301,x5302),x5305))
% 0.82/0.86 [531]~P8(x5315,x5312,a1)+E(f7(f35(x5311,x5312,x5313,x5314),x5315),f7(x5311,x5315))
% 0.82/0.86 [539]~P7(x5391,x5394,x5395)+P7(f35(x5391,x5392,x5393,a48),f7(f7(a15,x5394),x5392),x5395)
% 0.82/0.86 [588]~P13(x5883,x5881,x5885)+E(f7(f7(x5881,x5882),f25(x5881,x5883,x5884,x5885,x5885)),f25(x5881,x5882,x5884,x5885,x5885))
% 0.82/0.86 [601]~P16(x6011,x6014,x6015)+P16(f35(x6011,x6012,x6013,a48),f28(f5(a15,x6012,a46,a1,a46),x6014,a46,a46),x6015)
% 0.82/0.86 [528]E(x5281,x5282)+~E(f19(x5283,f24(x5281,f18(x5284),x5284),x5284),f19(x5285,f24(x5282,f18(x5284),x5284),x5284))
% 0.82/0.86 [529]E(x5291,x5292)+~E(f19(x5291,f24(x5293,f18(x5294),x5294),x5294),f19(x5292,f24(x5295,f18(x5294),x5294),x5294))
% 0.82/0.86 [538]~P37(f7(f7(x5381,x5385),x5384))+P37(f7(f7(f32(x5381,x5382,x5383),x5384),x5385))
% 0.82/0.86 [553]P37(f7(f7(x5531,x5532),x5533))+~P37(f7(f7(f32(x5531,x5534,x5535),x5533),x5532))
% 0.82/0.86 [589]~P12(x5891,x5895)+E(f25(x5891,f7(f7(x5891,x5892),x5893),x5894,x5895,x5895),f7(f7(x5891,x5892),f25(x5891,x5893,x5894,x5895,x5895)))
% 0.82/0.86 [608]P37(f7(x6081,f7(x6082,x6083)))+~P37(f7(x6081,f16(x6084,x6085,x6082,f11(x6083),a47)))
% 0.82/0.86 [610]P37(f7(x6101,f7(x6102,x6103)))+~P37(f7(x6101,f16(x6102,x6104,x6105,f8(x6103),a47)))
% 0.82/0.86 [493]~P12(x4931,x4935)+E(f7(f7(x4931,f7(f7(x4931,x4932),x4933)),x4934),f7(f7(x4931,x4932),f7(f7(x4931,x4933),x4934)))
% 0.82/0.86 [541]~P1(x5411)+E(f7(f7(f4(x5411),f7(f7(f4(x5411),x5412),x5413)),f7(f7(f4(x5411),x5414),x5415)),f7(f7(f4(x5411),f7(f7(f4(x5411),x5412),x5414)),f7(f7(f4(x5411),x5413),x5415)))
% 0.82/0.86 [613]P37(f7(x6131,f7(f7(x6132,x6133),x6134)))+~P37(f7(x6131,f16(x6135,x6132,x6136,f7(f7(a9,x6133),x6134),a47)))
% 0.82/0.86 [615]~P9(x6154,x6151,x6155,x6156,x6152,x6157)+E(f7(f7(x6151,x6152),x6153),x6153)
% 0.82/0.86 [616]~P9(x6164,x6161,x6165,x6163,x6166,x6167)+E(f7(f7(x6161,x6162),x6163),x6163)
% 0.82/0.86 [618]~P9(x6181,x6184,x6185,x6182,x6186,x6187)+E(f7(f7(x6181,x6182),x6183),x6183)
% 0.82/0.86 [619]~P9(x6194,x6191,x6195,x6196,x6193,x6197)+E(f7(f7(x6191,x6192),x6193),x6192)
% 0.82/0.86 [621]~P9(x6214,x6211,x6215,x6212,x6216,x6217)+E(f7(f7(x6211,x6212),x6213),x6212)
% 0.82/0.86 [622]~P9(x6221,x6224,x6225,x6223,x6226,x6227)+E(f7(f7(x6221,x6222),x6223),x6222)
% 0.82/0.86 [623]~P9(x6234,x6235,x6231,x6236,x6233,x6237)+E(f7(f7(x6231,x6232),f6(a1)),x6233)
% 0.82/0.86 [631]~P9(x6311,x6313,x6315,x6316,x6314,x6317)+E(f7(f7(x6311,x6312),x6312),f7(f7(x6313,f7(f7(x6311,x6314),x6314)),x6312))
% 0.82/0.86 [625]~P9(x6254,x6251,x6255,x6256,x6257,x6258)+E(f7(f7(x6251,x6252),x6253),f7(f7(x6251,x6253),x6252))
% 0.82/0.86 [627]~P9(x6271,x6274,x6275,x6276,x6277,x6278)+E(f7(f7(x6271,x6272),x6273),f7(f7(x6271,x6273),x6272))
% 0.82/0.86 [630]~P9(x6305,x6301,x6303,x6306,x6307,x6308)+E(f7(f7(x6301,x6302),f7(f7(x6303,x6302),x6304)),f7(f7(x6303,x6302),f31(x6304)))
% 0.82/0.86 [634]~P9(x6345,x6341,x6342,x6346,x6347,x6348)+E(f7(f7(x6341,f7(f7(x6342,x6343),x6344)),x6343),f7(f7(x6342,x6343),f31(x6344)))
% 0.82/0.86 [635]~P9(x6351,x6353,x6356,x6357,x6355,x6358)+E(f7(f7(x6351,x6352),f7(f7(x6353,x6354),x6352)),f7(f7(x6353,f7(f7(x6351,x6354),x6355)),x6352))
% 0.82/0.86 [642]~P9(x6421,x6422,x6426,x6427,x6425,x6428)+E(f7(f7(x6421,f7(f7(x6422,x6423),x6424)),x6424),f7(f7(x6422,f7(f7(x6421,x6423),x6425)),x6424))
% 0.82/0.86 [632]~P9(x6325,x6321,x6326,x6327,x6328,x6329)+E(f7(f7(x6321,x6322),f7(f7(x6321,x6323),x6324)),f7(f7(x6321,x6323),f7(f7(x6321,x6322),x6324)))
% 0.82/0.86 [633]~P9(x6331,x6335,x6336,x6337,x6338,x6339)+E(f7(f7(x6331,x6332),f7(f7(x6331,x6333),x6334)),f7(f7(x6331,x6333),f7(f7(x6331,x6332),x6334)))
% 0.82/0.86 [645]~P9(x6451,x6452,x6456,x6457,x6458,x6459)+E(f7(f7(x6451,f7(f7(x6452,x6453),x6454)),f7(f7(x6452,x6453),x6455)),f7(f7(x6452,x6453),f7(f7(x6451,x6454),x6455)))
% 0.82/0.86 [640]~P9(x6405,x6401,x6406,x6407,x6408,x6409)+E(f7(f7(x6401,f7(f7(x6401,x6402),x6403)),x6404),f7(f7(x6401,x6402),f7(f7(x6401,x6403),x6404)))
% 0.82/0.86 [641]~P9(x6411,x6415,x6416,x6417,x6418,x6419)+E(f7(f7(x6411,f7(f7(x6411,x6412),x6413)),x6414),f7(f7(x6411,x6412),f7(f7(x6411,x6413),x6414)))
% 0.82/0.86 [643]~P9(x6435,x6431,x6436,x6437,x6438,x6439)+E(f7(f7(x6431,f7(f7(x6431,x6432),x6433)),x6434),f7(f7(x6431,f7(f7(x6431,x6432),x6434)),x6433))
% 0.82/0.86 [644]~P9(x6441,x6445,x6446,x6447,x6448,x6449)+E(f7(f7(x6441,f7(f7(x6441,x6442),x6443)),x6444),f7(f7(x6441,f7(f7(x6441,x6442),x6444)),x6443))
% 0.82/0.86 [646]~P9(x6466,x6461,x6462,x6467,x6468,x6469)+E(f7(f7(x6461,f7(f7(x6462,x6463),x6464)),f7(f7(x6462,x6463),x6465)),f7(f7(x6462,x6463),f7(f7(f4(a1),x6464),x6465)))
% 0.82/0.86 [647]~P9(x6476,x6471,x6472,x6477,x6478,x6479)+E(f7(f7(x6471,f7(f7(x6472,x6473),x6474)),f7(f7(x6472,x6475),x6474)),f7(f7(x6472,f7(f7(x6471,x6473),x6475)),x6474))
% 0.82/0.86 [649]~P9(x6491,x6492,x6496,x6497,x6498,x6499)+E(f7(f7(x6491,f7(f7(x6492,x6493),x6494)),f7(f7(x6492,x6495),x6494)),f7(f7(x6492,f7(f7(x6491,x6493),x6495)),x6494))
% 0.82/0.86 [651]~P9(x6516,x6511,x6517,x6518,x6519,x65110)+E(f7(f7(x6511,f7(f7(x6511,x6512),x6513)),f7(f7(x6511,x6514),x6515)),f7(f7(x6511,f7(f7(x6511,x6512),x6514)),f7(f7(x6511,x6513),x6515)))
% 0.82/0.86 [652]~P9(x6521,x6526,x6527,x6528,x6529,x65210)+E(f7(f7(x6521,f7(f7(x6521,x6522),x6523)),f7(f7(x6521,x6524),x6525)),f7(f7(x6521,f7(f7(x6521,x6522),x6524)),f7(f7(x6521,x6523),x6525)))
% 0.82/0.86 [385]E(x3851,x3852)+P8(x3852,x3851,a1)+P8(x3851,x3852,a1)
% 0.82/0.86 [414]~P8(x4141,x4142,a1)+E(f31(x4141),x4142)+P8(f31(x4141),x4142,a1)
% 0.82/0.86 [415]E(x4151,x4152)+P8(x4152,x4151,a1)+~P8(x4152,f31(x4151),a1)
% 0.82/0.86 [417]E(x4171,x4172)+P8(x4171,x4172,a1)+~P8(x4171,f31(x4172),a1)
% 0.82/0.86 [439]~P29(x4391)+P8(f6(x4391),f30(x4392,x4391),x4391)+~P8(f6(a1),x4392,a1)
% 0.82/0.86 [444]~P29(x4442)+~P8(f6(x4442),f30(x4441,x4442),x4442)+P8(f6(a1),x4441,a1)
% 0.82/0.86 [349]~P32(x3491)+~P14(x3491)+E(f7(f7(f4(x3491),x3492),f6(x3491)),x3492)
% 0.82/0.86 [357]~P28(x3571)+~P27(x3571)+E(f33(f6(x3571),f31(x3572),x3571),f6(x3571))
% 0.82/0.86 [359]E(x3591,f6(a1))+E(x3592,f6(a1))+~E(f7(f7(f4(a1),x3592),x3591),f31(f6(a1)))
% 0.82/0.86 [371]E(x3711,f6(a1))+E(x3711,f31(f6(a1)))+~E(f7(f7(f4(a1),x3712),x3711),f31(f6(a1)))
% 0.82/0.86 [372]E(x3721,f6(a1))+E(x3721,f31(f6(a1)))+~E(f7(f7(f4(a1),x3721),x3722),f31(f6(a1)))
% 0.82/0.86 [379]E(x3791,f31(f6(a1)))+E(x3792,f31(f6(a1)))+~E(f7(f7(f4(a1),x3792),x3791),f31(f6(a1)))
% 0.82/0.86 [380]~P20(x3802)+E(x3801,f6(x3802))+~E(f7(f7(f4(x3802),x3801),x3801),f6(x3802))
% 0.82/0.86 [469]~P20(x4691)+~P8(f6(x4691),x4692,x4691)+P8(f6(x4691),f7(f7(f4(x4691),x4692),x4692),x4691)
% 0.82/0.86 [470]~P20(x4701)+~P8(x4702,f6(x4701),x4701)+P8(f7(f7(f4(x4701),x4702),x4702),f6(x4701),x4701)
% 0.82/0.86 [471]~P33(x4711)+~P8(x4712,f6(x4711),x4711)+P8(f7(f7(f4(x4711),x4712),x4712),f6(x4711),x4711)
% 0.82/0.86 [487]~P20(x4872)+P8(x4871,f6(x4872),x4872)+~P8(f7(f7(f4(x4872),x4871),x4871),f6(x4872),x4872)
% 0.82/0.86 [488]~P33(x4882)+P8(x4881,f6(x4882),x4882)+~P8(f7(f7(f4(x4882),x4881),x4881),f6(x4882),x4882)
% 0.82/0.86 [489]~P20(x4891)+P8(f6(x4891),x4892,x4891)+~P8(f6(x4891),f7(f7(f4(x4891),x4892),x4892),x4891)
% 0.82/0.86 [495]P8(f6(a1),x4951,a1)+P8(f6(a1),x4952,a1)+~P8(f6(a1),f7(f7(f4(a1),x4951),x4952),a1)
% 0.82/0.86 [434]~P8(x4343,x4342,x4341)+~P2(x4341)+~P8(x4342,x4343,x4341)
% 0.82/0.86 [435]~P8(x4353,x4352,x4351)+~P25(x4351)+~P8(x4352,x4353,x4351)
% 0.82/0.86 [437]~P8(x4373,x4372,x4371)+~P26(x4371)+~P8(x4372,x4373,x4371)
% 0.82/0.86 [339]~P6(x3393)+E(x3391,x3392)+~E(f30(x3391,x3393),f30(x3392,x3393))
% 0.82/0.86 [382]~P34(x3822)+~E(f33(x3821,x3823,x3822),f6(x3822))+E(x3821,f6(x3822))
% 0.82/0.86 [442]~P29(x4422)+~P8(x4421,x4423,a1)+P8(f30(x4421,x4422),f30(x4423,x4422),x4422)
% 0.82/0.86 [453]~P8(x4531,x4533,a1)+~P8(x4533,x4532,a1)+P8(f31(x4531),x4532,a1)
% 0.82/0.86 [454]~P29(x4543)+~P8(f30(x4541,x4543),f30(x4542,x4543),x4543)+P8(x4541,x4542,a1)
% 0.82/0.86 [474]~P29(x4741)+~P8(f6(x4741),x4742,x4741)+P8(f6(x4741),f33(x4742,x4743,x4741),x4741)
% 0.82/0.86 [422]E(x4221,x4222)+P8(x4222,x4221,a1)+E(f7(f7(f7(a20,f8(x4221)),x4223),x4222),f8(x4221))
% 0.82/0.86 [606]~P15(f32(a10,a46,a46),x6062,a46)+~P15(f32(a10,a46,a46),f25(a9,f7(f7(f7(a20,x6061),x6062),f6(a1)),x6063,a46,a46),a46)+P15(f32(a10,a46,a46),f25(a9,f7(f7(a9,f11(x6061)),x6062),x6063,a46,a46),a46)
% 0.82/0.86 [654]~P37(f7(a3,x6542))+~P37(f7(a3,f25(a9,f7(f7(f7(a20,x6541),x6542),f6(a1)),x6543,a46,a46)))+P37(f7(a3,f25(a9,f7(f7(a9,f11(x6541)),x6542),x6543,a46,a46)))
% 0.82/0.86 [463]~P2(x4634)+~P8(x4631,x4633,x4634)+P8(x4631,f13(x4632,x4633,x4634),x4634)
% 0.82/0.86 [465]~P2(x4654)+~P8(x4651,x4652,x4654)+P8(x4651,f13(x4652,x4653,x4654),x4654)
% 0.82/0.86 [483]~P2(x4833)+P8(x4831,x4832,x4833)+~P8(f13(x4834,x4831,x4833),x4832,x4833)
% 0.82/0.86 [484]~P2(x4843)+P8(x4841,x4842,x4843)+~P8(f13(x4841,x4844,x4843),x4842,x4843)
% 0.82/0.86 [492]~P10(x4921,x4923,x4924)+~P10(x4921,x4922,x4924)+P10(x4921,f19(x4922,x4923,x4924),x4924)
% 0.82/0.86 [467]P7(x4671,x4672,x4673)+~P7(x4671,x4674,x4673)+~P37(f7(f7(a10,x4674),x4672))
% 0.82/0.86 [473]P15(x4731,x4732,x4733)+~P15(x4731,x4734,x4733)+~P37(f7(f7(x4731,x4732),x4734))
% 0.82/0.86 [585]E(x5851,f18(a46))+E(f25(a9,x5852,f23(x5853,x5854,x5852,x5851),a46,a46),x5853)+~E(f7(f7(a9,x5853),x5854),f25(a9,x5852,x5851,a46,a46))
% 0.82/0.86 [429]~P4(x4293)+E(x4291,x4292)+~E(f7(f7(f4(x4293),x4294),x4291),f7(f7(f4(x4293),x4294),x4292))
% 0.82/0.86 [430]~P18(x4303)+E(x4301,x4302)+~E(f7(f7(f4(x4303),x4304),x4301),f7(f7(f4(x4303),x4304),x4302))
% 0.82/0.86 [431]~P18(x4313)+E(x4311,x4312)+~E(f7(f7(f4(x4313),x4311),x4314),f7(f7(f4(x4313),x4312),x4314))
% 0.82/0.86 [476]~P8(x4764,x4763,a1)+P8(x4761,x4762,a1)+~E(f7(f7(f4(a1),x4761),x4763),f7(f7(f4(a1),x4764),x4762))
% 0.82/0.86 [497]~P22(x4971)+~P8(x4972,x4974,x4971)+P8(f7(f7(f4(x4971),x4972),x4973),f7(f7(f4(x4971),x4974),x4973),x4971)
% 0.82/0.86 [498]~P23(x4981)+~P8(x4982,x4984,x4981)+P8(f7(f7(f4(x4981),x4982),x4983),f7(f7(f4(x4981),x4984),x4983),x4981)
% 0.82/0.86 [499]~P22(x4991)+~P8(x4993,x4994,x4991)+P8(f7(f7(f4(x4991),x4992),x4993),f7(f7(f4(x4991),x4992),x4994),x4991)
% 0.82/0.86 [500]~P23(x5001)+~P8(x5003,x5004,x5001)+P8(f7(f7(f4(x5001),x5002),x5003),f7(f7(f4(x5001),x5002),x5004),x5001)
% 0.82/0.86 [505]P7(x5051,x5052,x5053)+~P7(x5051,x5054,x5053)+~P37(f7(f7(f12(a10,a46),x5054),x5052))
% 0.82/0.86 [509]~P8(x5092,x5094,a1)+~P8(x5091,x5093,a1)+P8(f7(f7(f4(a1),x5091),x5092),f7(f7(f4(a1),x5093),x5094),a1)
% 0.82/0.86 [518]P15(x5181,x5182,x5183)+~P15(x5181,x5184,x5183)+~P37(f7(f7(f12(x5181,x5183),x5182),x5184))
% 0.82/0.86 [524]~P22(x5243)+P8(x5241,x5242,x5243)+~P8(f7(f7(f4(x5243),x5244),x5241),f7(f7(f4(x5243),x5244),x5242),x5243)
% 0.82/0.86 [525]~P22(x5253)+P8(x5251,x5252,x5253)+~P8(f7(f7(f4(x5253),x5251),x5254),f7(f7(f4(x5253),x5252),x5254),x5253)
% 0.82/0.86 [558]~P37(f7(f7(f12(a10,a46),x5581),x5583))+~P37(f7(f7(f12(a10,a46),x5582),x5584))+P37(f7(f7(f12(a10,a46),f7(f7(a9,x5581),x5582)),f7(f7(a9,x5583),x5584)))
% 0.82/0.86 [433]E(x4331,x4332)+~E(f27(x4333,x4331,x4334),f27(x4335,x4332,x4334))+E(x4333,f6(a1))
% 0.82/0.86 [602]~P16(x6021,x6023,x6025)+~P7(x6021,x6022,f26(a36,x6025,x6024,a48,a48))+P7(x6021,f25(a9,x6022,x6023,a46,a46),x6024)
% 0.82/0.86 [510]~P7(x5101,x5103,x5105)+~P7(x5101,x5102,f7(f7(a36,x5105),x5104))+P7(x5101,f7(f7(a9,x5102),x5103),x5104)
% 0.82/0.86 [611]E(x6111,x6112)+~P7(x6113,f25(a9,f8(x6114),x6115,a46,a46),x6111)+~P7(x6113,f25(a9,f8(x6114),x6115,a46,a46),x6112)
% 0.82/0.86 [532]~P37(f7(f7(x5321,x5325),x5324))+~P37(f7(f7(f12(x5321,x5322),x5323),x5325))+P37(f7(f7(f12(x5321,x5322),x5323),x5324))
% 0.82/0.86 [533]~P37(f7(f7(x5331,x5333),x5335))+~P37(f7(f7(f12(x5331,x5332),x5335),x5334))+P37(f7(f7(f12(x5331,x5332),x5333),x5334))
% 0.82/0.86 [544]~P37(f7(f7(f12(x5441,x5442),x5443),x5445))+P37(f7(f7(f12(x5441,x5442),x5443),x5444))+~P37(f7(f7(f12(x5441,x5442),x5445),x5444))
% 0.82/0.86 [504]~P17(x5041)+E(f7(f7(f4(x5041),x5042),x5043),x5044)+~E(f7(f7(f4(x5041),x5042),f7(f7(f4(x5041),x5045),x5043)),f7(f7(f4(x5041),x5045),x5044))
% 0.82/0.86 [542]E(x5421,x5422)+E(x5423,x5424)+~P11(x5425,f24(x5424,x5422,x5426),f24(x5423,x5421,x5426),x5426)
% 0.82/0.86 [555]E(x5551,x5552)+P11(x5553,x5551,x5552,x5554)+~P11(x5553,f24(x5555,x5551,x5554),f24(x5556,x5552,x5554),x5554)
% 0.82/0.86 [545]E(x5451,x5452)+~P11(x5453,f24(x5452,x5454,x5455),f24(x5451,x5456,x5455),x5455)+P37(f7(f7(x5453,x5452),x5451))
% 0.82/0.86 [557]P11(x5571,x5572,x5573,x5574)+~P11(x5571,f24(x5575,x5572,x5574),f24(x5576,x5573,x5574),x5574)+P37(f7(f7(x5571,x5575),x5576))
% 0.82/0.86 [559]~P7(x5591,x5593,x5596)+~P7(f35(x5591,x5594,x5596,a48),x5592,x5595)+P7(x5591,f7(f7(f7(a20,x5592),x5593),x5594),x5595)
% 0.82/0.86 [570]E(x5701,x5702)+E(x5703,x5704)+~P11(x5705,f19(x5703,f24(x5701,f18(x5706),x5706),x5706),f19(x5704,f24(x5702,f18(x5706),x5706),x5706),x5706)
% 0.82/0.86 [571]E(x5711,x5712)+~P11(x5713,f19(x5714,f24(x5711,f18(x5715),x5715),x5715),f19(x5716,f24(x5712,f18(x5715),x5715),x5715),x5715)+P37(f7(f7(x5713,x5711),x5712))
% 0.82/0.86 [572]E(x5721,x5722)+P11(x5723,x5721,x5722,x5724)+~P11(x5723,f19(x5721,f24(x5725,f18(x5724),x5724),x5724),f19(x5722,f24(x5726,f18(x5724),x5724),x5724),x5724)
% 0.82/0.86 [573]P11(x5731,x5732,x5733,x5734)+~P11(x5731,f19(x5732,f24(x5735,f18(x5734),x5734),x5734),f19(x5733,f24(x5736,f18(x5734),x5734),x5734),x5734)+P37(f7(f7(x5731,x5735),x5736))
% 0.82/0.86 [659]~P7(x6591,x6592,x6596)+~P16(f35(x6591,x6593,x6596,a48),x6594,x6595)+P16(x6591,f28(f5(f5(a20,x6592,a46,a46,f49(a1,a46)),x6593,a46,a1,a46),x6594,a46,a46),x6595)
% 0.82/0.86 [356]~P28(x3562)+~P27(x3562)+E(x3561,f6(a1))+E(f33(f6(x3562),x3561,x3562),f6(x3562))
% 0.82/0.86 [400]P8(x4001,x4002,x4003)+~P2(x4003)+E(x4001,x4002)+P8(x4002,x4001,x4003)
% 0.82/0.86 [401]P8(x4011,x4012,x4013)+~P33(x4013)+E(x4011,x4012)+P8(x4012,x4011,x4013)
% 0.82/0.86 [381]~P32(x3812)+~P14(x3812)+E(x3811,f6(x3812))+~E(f7(f7(f4(x3812),x3813),x3811),x3813)
% 0.82/0.86 [501]~P21(x5011)+~P8(f6(x5011),x5013,x5011)+~P8(f6(x5011),x5012,x5011)+P8(f6(x5011),f7(f7(f4(x5011),x5012),x5013),x5011)
% 0.82/0.86 [502]~P21(x5021)+~P8(x5023,f6(x5021),x5021)+~P8(x5022,f6(x5021),x5021)+P8(f7(f7(f4(x5021),x5022),x5023),f6(x5021),x5021)
% 0.82/0.86 [456]~P25(x4563)+~P8(x4561,x4564,x4563)+P8(x4561,x4562,x4563)+~P8(x4564,x4562,x4563)
% 0.82/0.86 [457]~P26(x4573)+~P8(x4571,x4574,x4573)+P8(x4571,x4572,x4573)+~P8(x4574,x4572,x4573)
% 0.82/0.86 [494]~P2(x4943)+~P8(x4942,x4944,x4943)+~P8(x4941,x4944,x4943)+P8(f13(x4941,x4942,x4943),x4944,x4943)
% 0.82/0.86 [503]~P2(x5033)+P8(x5031,x5032,x5033)+P8(x5031,x5034,x5033)+~P8(x5031,f13(x5032,x5034,x5033),x5033)
% 0.82/0.86 [438]~P32(x4383)+~P14(x4383)+E(x4381,x4382)+~E(f7(f7(f4(x4383),x4384),x4381),f7(f7(f4(x4383),x4384),x4382))
% 0.82/0.86 [496]~P29(x4962)+~P8(x4961,x4964,x4962)+~P8(f6(x4962),x4963,x4962)+P8(x4961,f7(f7(f4(x4962),x4963),x4964),x4962)
% 0.82/0.86 [564]~P7(x5643,x5641,a53)+~P7(f35(x5643,x5642,a53,a48),a52,x5644)+~P37(f7(a3,x5641))+P37(f7(a3,f7(f7(f7(a20,a52),x5641),x5642)))
% 0.82/0.86 [661]~P7(x6613,x6611,a53)+~P7(f35(x6613,x6612,a53,a48),f25(a9,f7(f7(f7(a20,a61),a52),f6(a1)),a58,a46,a46),x6614)+~P37(f7(a3,x6611))+P37(f7(a3,f7(f7(f7(a20,f25(a9,f7(f7(f7(a20,a61),a52),f6(a1)),a58,a46,a46)),x6611),x6612)))
% 0.82/0.86 [519]~P23(x5191)+~P8(x5193,x5195,x5191)+~P8(x5192,x5194,x5191)+P8(f7(f7(f4(x5191),x5192),x5193),f7(f7(f4(x5191),x5194),x5195),x5191)
% 0.82/0.86 [658]~P16(x6581,x6585,x6586)+P16(x6581,x6582,f45(x6583,x6584,x6581,x6582))+~P7(x6581,f25(a9,f8(x6587),x6585,a46,a46),x6584)+~P7(x6581,f25(a9,f25(a9,f8(x6587),x6585,a46,a46),x6582,a46,a46),x6583)
% 0.82/0.86 [660]~P16(x6603,x6605,x6606)+~P7(x6603,f25(a9,f8(x6607),x6605,a46,a46),x6602)+~P7(x6603,f25(a9,f25(a9,f8(x6607),x6605,a46,a46),x6604,a46,a46),x6601)+E(f26(a36,f45(x6601,x6602,x6603,x6604),x6601,a48,a48),x6602)
% 0.82/0.86 [402]~P27(x4022)+~P35(x4022)+~P30(x4022)+~P31(x4022)+~E(f33(x4021,f6(a1),x4022),f6(x4022))
% 0.82/0.86 [373]~P27(x3732)+~P35(x3732)+~P30(x3732)+~P31(x3732)+E(x3731,f6(a1))+E(f33(f6(x3732),x3731,x3732),f6(x3732))
% 0.82/0.86 [403]~P27(x4032)+~P35(x4032)+~P30(x4032)+~P31(x4032)+~E(f33(x4031,x4033,x4032),f6(x4032))+E(x4031,f6(x4032))
% 0.82/0.86 [568]~P7(x5686,x5682,x5685)+~P7(f35(x5686,x5683,x5685,a48),x5681,x5687)+~P37(f7(a3,x5682))+~P37(f7(a3,x5681))+~E(f7(f7(a36,x5684),x5685),a53)+P37(f7(a3,f7(f7(f7(a20,x5681),x5682),x5683)))
% 0.82/0.86 [569]~P7(x5696,x5692,x5694)+~P7(f35(x5696,x5693,x5694,a48),x5691,x5697)+~P37(f7(a3,x5692))+~P37(f7(a3,x5691))+~E(f7(f7(a36,x5694),x5695),a53)+P37(f7(a3,f7(f7(f7(a20,x5691),x5692),x5693)))
% 0.82/0.86 %EqnAxiom
% 0.82/0.86 [1]E(x11,x11)
% 0.82/0.86 [2]E(x22,x21)+~E(x21,x22)
% 0.82/0.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.82/0.86 [4]~E(x41,x42)+E(f7(x41,x43),f7(x42,x43))
% 0.82/0.86 [5]~E(x51,x52)+E(f7(x53,x51),f7(x53,x52))
% 0.82/0.86 [6]~E(x61,x62)+E(f25(x61,x63,x64,x65,x66),f25(x62,x63,x64,x65,x66))
% 0.82/0.86 [7]~E(x71,x72)+E(f25(x73,x71,x74,x75,x76),f25(x73,x72,x74,x75,x76))
% 0.82/0.86 [8]~E(x81,x82)+E(f25(x83,x84,x81,x85,x86),f25(x83,x84,x82,x85,x86))
% 0.82/0.86 [9]~E(x91,x92)+E(f25(x93,x94,x95,x91,x96),f25(x93,x94,x95,x92,x96))
% 0.82/0.86 [10]~E(x101,x102)+E(f25(x103,x104,x105,x106,x101),f25(x103,x104,x105,x106,x102))
% 0.82/0.86 [11]~E(x111,x112)+E(f6(x111),f6(x112))
% 0.82/0.86 [12]~E(x121,x122)+E(f8(x121),f8(x122))
% 0.82/0.86 [13]~E(x131,x132)+E(f35(x131,x133,x134,x135),f35(x132,x133,x134,x135))
% 0.82/0.86 [14]~E(x141,x142)+E(f35(x143,x141,x144,x145),f35(x143,x142,x144,x145))
% 0.82/0.86 [15]~E(x151,x152)+E(f35(x153,x154,x151,x155),f35(x153,x154,x152,x155))
% 0.82/0.86 [16]~E(x161,x162)+E(f35(x163,x164,x165,x161),f35(x163,x164,x165,x162))
% 0.82/0.86 [17]~E(x171,x172)+E(f4(x171),f4(x172))
% 0.82/0.86 [18]~E(x181,x182)+E(f24(x181,x183,x184),f24(x182,x183,x184))
% 0.82/0.86 [19]~E(x191,x192)+E(f24(x193,x191,x194),f24(x193,x192,x194))
% 0.82/0.86 [20]~E(x201,x202)+E(f24(x203,x204,x201),f24(x203,x204,x202))
% 0.82/0.86 [21]~E(x211,x212)+E(f30(x211,x213),f30(x212,x213))
% 0.82/0.86 [22]~E(x221,x222)+E(f30(x223,x221),f30(x223,x222))
% 0.82/0.86 [23]~E(x231,x232)+E(f40(x231,x233,x234,x235),f40(x232,x233,x234,x235))
% 0.82/0.86 [24]~E(x241,x242)+E(f40(x243,x241,x244,x245),f40(x243,x242,x244,x245))
% 0.82/0.86 [25]~E(x251,x252)+E(f40(x253,x254,x251,x255),f40(x253,x254,x252,x255))
% 0.82/0.86 [26]~E(x261,x262)+E(f40(x263,x264,x265,x261),f40(x263,x264,x265,x262))
% 0.82/0.86 [27]~E(x271,x272)+E(f31(x271),f31(x272))
% 0.82/0.86 [28]~E(x281,x282)+E(f13(x281,x283,x284),f13(x282,x283,x284))
% 0.82/0.86 [29]~E(x291,x292)+E(f13(x293,x291,x294),f13(x293,x292,x294))
% 0.82/0.86 [30]~E(x301,x302)+E(f13(x303,x304,x301),f13(x303,x304,x302))
% 0.82/0.86 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.82/0.86 [32]~E(x321,x322)+E(f19(x321,x323,x324),f19(x322,x323,x324))
% 0.82/0.86 [33]~E(x331,x332)+E(f19(x333,x331,x334),f19(x333,x332,x334))
% 0.82/0.86 [34]~E(x341,x342)+E(f19(x343,x344,x341),f19(x343,x344,x342))
% 0.82/0.86 [35]~E(x351,x352)+E(f12(x351,x353),f12(x352,x353))
% 0.82/0.86 [36]~E(x361,x362)+E(f12(x363,x361),f12(x363,x362))
% 0.82/0.86 [37]~E(x371,x372)+E(f26(x371,x373,x374,x375,x376),f26(x372,x373,x374,x375,x376))
% 0.82/0.86 [38]~E(x381,x382)+E(f26(x383,x381,x384,x385,x386),f26(x383,x382,x384,x385,x386))
% 0.82/0.86 [39]~E(x391,x392)+E(f26(x393,x394,x391,x395,x396),f26(x393,x394,x392,x395,x396))
% 0.82/0.86 [40]~E(x401,x402)+E(f26(x403,x404,x405,x401,x406),f26(x403,x404,x405,x402,x406))
% 0.82/0.86 [41]~E(x411,x412)+E(f26(x413,x414,x415,x416,x411),f26(x413,x414,x415,x416,x412))
% 0.82/0.86 [42]~E(x421,x422)+E(f33(x421,x423,x424),f33(x422,x423,x424))
% 0.82/0.86 [43]~E(x431,x432)+E(f33(x433,x431,x434),f33(x433,x432,x434))
% 0.82/0.86 [44]~E(x441,x442)+E(f33(x443,x444,x441),f33(x443,x444,x442))
% 0.82/0.86 [45]~E(x451,x452)+E(f32(x451,x453,x454),f32(x452,x453,x454))
% 0.82/0.86 [46]~E(x461,x462)+E(f32(x463,x461,x464),f32(x463,x462,x464))
% 0.82/0.86 [47]~E(x471,x472)+E(f32(x473,x474,x471),f32(x473,x474,x472))
% 0.82/0.86 [48]~E(x481,x482)+E(f44(x481,x483,x484,x485),f44(x482,x483,x484,x485))
% 0.82/0.86 [49]~E(x491,x492)+E(f44(x493,x491,x494,x495),f44(x493,x492,x494,x495))
% 0.82/0.86 [50]~E(x501,x502)+E(f44(x503,x504,x501,x505),f44(x503,x504,x502,x505))
% 0.82/0.86 [51]~E(x511,x512)+E(f44(x513,x514,x515,x511),f44(x513,x514,x515,x512))
% 0.82/0.86 [52]~E(x521,x522)+E(f11(x521),f11(x522))
% 0.82/0.86 [53]~E(x531,x532)+E(f29(x531,x533),f29(x532,x533))
% 0.82/0.86 [54]~E(x541,x542)+E(f29(x543,x541),f29(x543,x542))
% 0.82/0.86 [55]~E(x551,x552)+E(f37(x551,x553,x554),f37(x552,x553,x554))
% 0.82/0.86 [56]~E(x561,x562)+E(f37(x563,x561,x564),f37(x563,x562,x564))
% 0.82/0.86 [57]~E(x571,x572)+E(f37(x573,x574,x571),f37(x573,x574,x572))
% 0.82/0.86 [58]~E(x581,x582)+E(f28(x581,x583,x584,x585),f28(x582,x583,x584,x585))
% 0.82/0.86 [59]~E(x591,x592)+E(f28(x593,x591,x594,x595),f28(x593,x592,x594,x595))
% 0.82/0.86 [60]~E(x601,x602)+E(f28(x603,x604,x601,x605),f28(x603,x604,x602,x605))
% 0.82/0.86 [61]~E(x611,x612)+E(f28(x613,x614,x615,x611),f28(x613,x614,x615,x612))
% 0.82/0.86 [62]~E(x621,x622)+E(f14(x621,x623,x624),f14(x622,x623,x624))
% 0.82/0.86 [63]~E(x631,x632)+E(f14(x633,x631,x634),f14(x633,x632,x634))
% 0.82/0.86 [64]~E(x641,x642)+E(f14(x643,x644,x641),f14(x643,x644,x642))
% 0.82/0.86 [65]~E(x651,x652)+E(f27(x651,x653,x654),f27(x652,x653,x654))
% 0.82/0.86 [66]~E(x661,x662)+E(f27(x663,x661,x664),f27(x663,x662,x664))
% 0.82/0.86 [67]~E(x671,x672)+E(f27(x673,x674,x671),f27(x673,x674,x672))
% 0.82/0.86 [68]~E(x681,x682)+E(f45(x681,x683,x684,x685),f45(x682,x683,x684,x685))
% 0.82/0.86 [69]~E(x691,x692)+E(f45(x693,x691,x694,x695),f45(x693,x692,x694,x695))
% 0.82/0.86 [70]~E(x701,x702)+E(f45(x703,x704,x701,x705),f45(x703,x704,x702,x705))
% 0.82/0.86 [71]~E(x711,x712)+E(f45(x713,x714,x715,x711),f45(x713,x714,x715,x712))
% 0.82/0.86 [72]~E(x721,x722)+E(f49(x721,x723),f49(x722,x723))
% 0.82/0.86 [73]~E(x731,x732)+E(f49(x733,x731),f49(x733,x732))
% 0.82/0.86 [74]~E(x741,x742)+E(f21(x741),f21(x742))
% 0.82/0.86 [75]~E(x751,x752)+E(f42(x751,x753,x754,x755),f42(x752,x753,x754,x755))
% 0.82/0.86 [76]~E(x761,x762)+E(f42(x763,x761,x764,x765),f42(x763,x762,x764,x765))
% 0.82/0.86 [77]~E(x771,x772)+E(f42(x773,x774,x771,x775),f42(x773,x774,x772,x775))
% 0.82/0.86 [78]~E(x781,x782)+E(f42(x783,x784,x785,x781),f42(x783,x784,x785,x782))
% 0.82/0.86 [79]~E(x791,x792)+E(f5(x791,x793,x794,x795,x796),f5(x792,x793,x794,x795,x796))
% 0.82/0.86 [80]~E(x801,x802)+E(f5(x803,x801,x804,x805,x806),f5(x803,x802,x804,x805,x806))
% 0.82/0.86 [81]~E(x811,x812)+E(f5(x813,x814,x811,x815,x816),f5(x813,x814,x812,x815,x816))
% 0.82/0.86 [82]~E(x821,x822)+E(f5(x823,x824,x825,x821,x826),f5(x823,x824,x825,x822,x826))
% 0.82/0.86 [83]~E(x831,x832)+E(f5(x833,x834,x835,x836,x831),f5(x833,x834,x835,x836,x832))
% 0.82/0.86 [84]~E(x841,x842)+E(f17(x841,x843,x844,x845,x846),f17(x842,x843,x844,x845,x846))
% 0.82/0.86 [85]~E(x851,x852)+E(f17(x853,x851,x854,x855,x856),f17(x853,x852,x854,x855,x856))
% 0.82/0.86 [86]~E(x861,x862)+E(f17(x863,x864,x861,x865,x866),f17(x863,x864,x862,x865,x866))
% 0.82/0.86 [87]~E(x871,x872)+E(f17(x873,x874,x875,x871,x876),f17(x873,x874,x875,x872,x876))
% 0.82/0.86 [88]~E(x881,x882)+E(f17(x883,x884,x885,x886,x881),f17(x883,x884,x885,x886,x882))
% 0.82/0.86 [89]~E(x891,x892)+E(f43(x891,x893,x894),f43(x892,x893,x894))
% 0.82/0.86 [90]~E(x901,x902)+E(f43(x903,x901,x904),f43(x903,x902,x904))
% 0.82/0.86 [91]~E(x911,x912)+E(f43(x913,x914,x911),f43(x913,x914,x912))
% 0.82/0.86 [92]~E(x921,x922)+E(f23(x921,x923,x924,x925),f23(x922,x923,x924,x925))
% 0.82/0.86 [93]~E(x931,x932)+E(f23(x933,x931,x934,x935),f23(x933,x932,x934,x935))
% 0.82/0.86 [94]~E(x941,x942)+E(f23(x943,x944,x941,x945),f23(x943,x944,x942,x945))
% 0.82/0.86 [95]~E(x951,x952)+E(f23(x953,x954,x955,x951),f23(x953,x954,x955,x952))
% 0.82/0.86 [96]~E(x961,x962)+E(f41(x961,x963,x964,x965),f41(x962,x963,x964,x965))
% 0.82/0.86 [97]~E(x971,x972)+E(f41(x973,x971,x974,x975),f41(x973,x972,x974,x975))
% 0.82/0.86 [98]~E(x981,x982)+E(f41(x983,x984,x981,x985),f41(x983,x984,x982,x985))
% 0.82/0.86 [99]~E(x991,x992)+E(f41(x993,x994,x995,x991),f41(x993,x994,x995,x992))
% 0.82/0.86 [100]~E(x1001,x1002)+E(f34(x1001),f34(x1002))
% 0.82/0.86 [101]~E(x1011,x1012)+E(f38(x1011,x1013),f38(x1012,x1013))
% 0.82/0.86 [102]~E(x1021,x1022)+E(f38(x1023,x1021),f38(x1023,x1022))
% 0.82/0.86 [103]~E(x1031,x1032)+E(f16(x1031,x1033,x1034,x1035,x1036),f16(x1032,x1033,x1034,x1035,x1036))
% 0.82/0.86 [104]~E(x1041,x1042)+E(f16(x1043,x1041,x1044,x1045,x1046),f16(x1043,x1042,x1044,x1045,x1046))
% 0.82/0.86 [105]~E(x1051,x1052)+E(f16(x1053,x1054,x1051,x1055,x1056),f16(x1053,x1054,x1052,x1055,x1056))
% 0.82/0.86 [106]~E(x1061,x1062)+E(f16(x1063,x1064,x1065,x1061,x1066),f16(x1063,x1064,x1065,x1062,x1066))
% 0.82/0.86 [107]~E(x1071,x1072)+E(f16(x1073,x1074,x1075,x1076,x1071),f16(x1073,x1074,x1075,x1076,x1072))
% 0.82/0.86 [108]~E(x1081,x1082)+E(f22(x1081),f22(x1082))
% 0.82/0.86 [109]~E(x1091,x1092)+E(f39(x1091,x1093),f39(x1092,x1093))
% 0.82/0.86 [110]~E(x1101,x1102)+E(f39(x1103,x1101),f39(x1103,x1102))
% 0.82/0.86 [111]~P1(x1111)+P1(x1112)+~E(x1111,x1112)
% 0.82/0.86 [112]~P2(x1121)+P2(x1122)+~E(x1121,x1122)
% 0.82/0.86 [113]~P3(x1131)+P3(x1132)+~E(x1131,x1132)
% 0.82/0.86 [114]~P21(x1141)+P21(x1142)+~E(x1141,x1142)
% 0.82/0.86 [115]~P4(x1151)+P4(x1152)+~E(x1151,x1152)
% 0.82/0.86 [116]~P18(x1161)+P18(x1162)+~E(x1161,x1162)
% 0.82/0.86 [117]~P5(x1171)+P5(x1172)+~E(x1171,x1172)
% 0.82/0.86 [118]~P19(x1181)+P19(x1182)+~E(x1181,x1182)
% 0.82/0.86 [119]~P25(x1191)+P25(x1192)+~E(x1191,x1192)
% 0.82/0.86 [120]P9(x1202,x1203,x1204,x1205,x1206,x1207)+~E(x1201,x1202)+~P9(x1201,x1203,x1204,x1205,x1206,x1207)
% 0.82/0.86 [121]P9(x1213,x1212,x1214,x1215,x1216,x1217)+~E(x1211,x1212)+~P9(x1213,x1211,x1214,x1215,x1216,x1217)
% 0.82/0.86 [122]P9(x1223,x1224,x1222,x1225,x1226,x1227)+~E(x1221,x1222)+~P9(x1223,x1224,x1221,x1225,x1226,x1227)
% 0.82/0.86 [123]P9(x1233,x1234,x1235,x1232,x1236,x1237)+~E(x1231,x1232)+~P9(x1233,x1234,x1235,x1231,x1236,x1237)
% 0.82/0.86 [124]P9(x1243,x1244,x1245,x1246,x1242,x1247)+~E(x1241,x1242)+~P9(x1243,x1244,x1245,x1246,x1241,x1247)
% 0.82/0.86 [125]P9(x1253,x1254,x1255,x1256,x1257,x1252)+~E(x1251,x1252)+~P9(x1253,x1254,x1255,x1256,x1257,x1251)
% 0.82/0.86 [126]~P26(x1261)+P26(x1262)+~E(x1261,x1262)
% 0.82/0.86 [127]P7(x1272,x1273,x1274)+~E(x1271,x1272)+~P7(x1271,x1273,x1274)
% 0.82/0.86 [128]P7(x1283,x1282,x1284)+~E(x1281,x1282)+~P7(x1283,x1281,x1284)
% 0.82/0.86 [129]P7(x1293,x1294,x1292)+~E(x1291,x1292)+~P7(x1293,x1294,x1291)
% 0.82/0.86 [130]~P28(x1301)+P28(x1302)+~E(x1301,x1302)
% 0.82/0.86 [131]~P27(x1311)+P27(x1312)+~E(x1311,x1312)
% 0.82/0.86 [132]~P6(x1321)+P6(x1322)+~E(x1321,x1322)
% 0.82/0.86 [133]~P29(x1331)+P29(x1332)+~E(x1331,x1332)
% 0.82/0.86 [134]~P22(x1341)+P22(x1342)+~E(x1341,x1342)
% 0.82/0.86 [135]~P35(x1351)+P35(x1352)+~E(x1351,x1352)
% 0.82/0.86 [136]~P30(x1361)+P30(x1362)+~E(x1361,x1362)
% 0.82/0.86 [137]~P31(x1371)+P31(x1372)+~E(x1371,x1372)
% 0.82/0.86 [138]~P23(x1381)+P23(x1382)+~E(x1381,x1382)
% 0.82/0.86 [139]~P24(x1391)+P24(x1392)+~E(x1391,x1392)
% 0.82/0.86 [140]~P36(x1401)+P36(x1402)+~E(x1401,x1402)
% 0.82/0.86 [141]~P37(x1411)+P37(x1412)+~E(x1411,x1412)
% 0.82/0.86 [142]P8(x1422,x1423,x1424)+~E(x1421,x1422)+~P8(x1421,x1423,x1424)
% 0.82/0.86 [143]P8(x1433,x1432,x1434)+~E(x1431,x1432)+~P8(x1433,x1431,x1434)
% 0.82/0.86 [144]P8(x1443,x1444,x1442)+~E(x1441,x1442)+~P8(x1443,x1444,x1441)
% 0.82/0.86 [145]P11(x1452,x1453,x1454,x1455)+~E(x1451,x1452)+~P11(x1451,x1453,x1454,x1455)
% 0.82/0.86 [146]P11(x1463,x1462,x1464,x1465)+~E(x1461,x1462)+~P11(x1463,x1461,x1464,x1465)
% 0.82/0.86 [147]P11(x1473,x1474,x1472,x1475)+~E(x1471,x1472)+~P11(x1473,x1474,x1471,x1475)
% 0.82/0.86 [148]P11(x1483,x1484,x1485,x1482)+~E(x1481,x1482)+~P11(x1483,x1484,x1485,x1481)
% 0.82/0.86 [149]P16(x1492,x1493,x1494)+~E(x1491,x1492)+~P16(x1491,x1493,x1494)
% 0.82/0.86 [150]P16(x1503,x1502,x1504)+~E(x1501,x1502)+~P16(x1503,x1501,x1504)
% 0.82/0.86 [151]P16(x1513,x1514,x1512)+~E(x1511,x1512)+~P16(x1513,x1514,x1511)
% 0.82/0.86 [152]~P32(x1521)+P32(x1522)+~E(x1521,x1522)
% 0.82/0.86 [153]~P17(x1531)+P17(x1532)+~E(x1531,x1532)
% 0.82/0.86 [154]P10(x1542,x1543,x1544)+~E(x1541,x1542)+~P10(x1541,x1543,x1544)
% 0.82/0.86 [155]P10(x1553,x1552,x1554)+~E(x1551,x1552)+~P10(x1553,x1551,x1554)
% 0.82/0.86 [156]P10(x1563,x1564,x1562)+~E(x1561,x1562)+~P10(x1563,x1564,x1561)
% 0.82/0.86 [157]~P14(x1571)+P14(x1572)+~E(x1571,x1572)
% 0.82/0.86 [158]P13(x1582,x1583,x1584)+~E(x1581,x1582)+~P13(x1581,x1583,x1584)
% 0.82/0.86 [159]P13(x1593,x1592,x1594)+~E(x1591,x1592)+~P13(x1593,x1591,x1594)
% 0.82/0.86 [160]P13(x1603,x1604,x1602)+~E(x1601,x1602)+~P13(x1603,x1604,x1601)
% 0.82/0.86 [161]P15(x1612,x1613,x1614)+~E(x1611,x1612)+~P15(x1611,x1613,x1614)
% 0.82/0.86 [162]P15(x1623,x1622,x1624)+~E(x1621,x1622)+~P15(x1623,x1621,x1624)
% 0.82/0.86 [163]P15(x1633,x1634,x1632)+~E(x1631,x1632)+~P15(x1633,x1634,x1631)
% 0.82/0.86 [164]~P20(x1641)+P20(x1642)+~E(x1641,x1642)
% 0.82/0.86 [165]~P34(x1651)+P34(x1652)+~E(x1651,x1652)
% 0.82/0.86 [166]P12(x1662,x1663)+~E(x1661,x1662)+~P12(x1661,x1663)
% 0.82/0.86 [167]P12(x1673,x1672)+~E(x1671,x1672)+~P12(x1673,x1671)
% 0.82/0.86 [168]~P33(x1681)+P33(x1682)+~E(x1681,x1682)
% 0.82/0.86
% 0.82/0.86 %-------------------------------------------
% 0.82/0.86 cnf(662,plain,
% 0.82/0.86 ($false),
% 0.82/0.86 inference(scs_inference,[],[329,290,298,467]),
% 0.82/0.86 ['proof']).
% 0.82/0.86 % SZS output end Proof
% 0.82/0.86 % Total time :0.050000s
%------------------------------------------------------------------------------