TSTP Solution File: LCL770-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL770-1 : 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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:50:49 EDT 2023
% Result : Unsatisfiable 0.75s 0.83s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL770-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 22:53:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.62/0.80 %-------------------------------------------
% 0.62/0.80 % File :CSE---1.6
% 0.62/0.80 % Problem :theBenchmark
% 0.62/0.80 % Transform :cnf
% 0.62/0.80 % Format :tptp:raw
% 0.62/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.62/0.80
% 0.62/0.80 % Result :Theorem 0.030000s
% 0.62/0.80 % Output :CNFRefutation 0.030000s
% 0.62/0.80 %-------------------------------------------
% 0.62/0.80 %------------------------------------------------------------------------------
% 0.62/0.80 % File : LCL770-1 : TPTP v8.1.2. Released v4.1.0.
% 0.62/0.80 % Domain : Logic Calculi
% 0.62/0.80 % Problem : Strong normalization of typed lambda calculus 077_6
% 0.62/0.80 % Version : Especial.
% 0.62/0.80 % English :
% 0.62/0.80
% 0.62/0.80 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.62/0.80 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.62/0.80 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.62/0.80 % Source : [Nip10]
% 0.62/0.80 % Names : StrongNorm-077_6 [Nip10]
% 0.62/0.80
% 0.62/0.80 % Status : Unsatisfiable
% 0.62/0.80 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.14 v4.1.0
% 0.62/0.80 % Syntax : Number of clauses : 557 ( 169 unt; 80 nHn; 323 RR)
% 0.62/0.80 % Number of literals : 1189 ( 418 equ; 572 neg)
% 0.62/0.80 % Maximal clause size : 5 ( 2 avg)
% 0.62/0.80 % Maximal term depth : 7 ( 2 avg)
% 0.62/0.80 % Number of predicates : 41 ( 40 usr; 0 prp; 1-4 aty)
% 0.62/0.80 % Number of functors : 60 ( 60 usr; 11 con; 0-5 aty)
% 0.62/0.80 % Number of variables : 1616 ( 231 sgn)
% 0.62/0.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.62/0.80
% 0.62/0.80 % Comments :
% 0.62/0.80 %------------------------------------------------------------------------------
% 0.62/0.80 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.62/0.80 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.62/0.80 | 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)) ) ).
% 0.62/0.80
% 0.62/0.80 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.62/0.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.62/0.80 | 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)) ) ).
% 0.62/0.80
% 0.62/0.80 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.62/0.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.62/0.80 | 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)) ) ).
% 0.62/0.80
% 0.62/0.80 cnf(cls_nat__add__assoc_0,axiom,
% 0.62/0.80 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)) ).
% 0.62/0.80
% 0.62/0.80 cnf(cls_nat__add__left__commute_0,axiom,
% 0.62/0.80 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)) ).
% 0.62/0.80
% 0.62/0.80 cnf(cls_add__cancel__21_1,axiom,
% 0.62/0.80 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.62/0.80 | 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)) ) ).
% 0.62/0.80
% 0.62/0.80 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.62/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.80 | 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) ) ).
% 0.62/0.80
% 0.62/0.80 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.62/0.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.80 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.62/0.80
% 0.62/0.80 cnf(cls_add__is__0_2,axiom,
% 0.62/0.81 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) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_double__eq__0__iff_1,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.62/0.81 | 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_nat__mult__commute_0,axiom,
% 0.62/0.81 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.81 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_length__Suc__conv_2,axiom,
% 0.62/0.81 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_Suc__length__conv_2,axiom,
% 0.62/0.81 c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.62/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.62/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_natgb_Onoteq__reduce_1,axiom,
% 0.62/0.81 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat)) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_natgb_Oadd__mul__solve_1,axiom,
% 0.62/0.81 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__is__1_4,axiom,
% 0.62/0.81 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)) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_list_Osize_I4_J_0,axiom,
% 0.62/0.81 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_list,tc_List_Olist(T_a))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.62/0.81 ( V_x = V_y
% 0.62/0.81 | V_xs = V_ys
% 0.62/0.81 | ~ 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.62/0.81 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.62/0.81 | 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_accp__downwards_0,axiom,
% 0.62/0.81 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.62/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 0.62/0.81 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_accp__downwards__aux_0,axiom,
% 0.62/0.81 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.62/0.81 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.62/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_list__app__typeE_0,axiom,
% 0.62/0.81 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype))
% 0.62/0.81 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_IT__implies__termi_0,axiom,
% 0.62/0.81 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 0.62/0.81 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_termi__implies__IT_0,axiom,
% 0.62/0.81 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 0.62/0.81 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__Suc__right_0,axiom,
% 0.62/0.81 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)) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__Suc_0,axiom,
% 0.62/0.81 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)) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_less__add__Suc1_0,axiom,
% 0.62/0.81 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_less__add__Suc2_0,axiom,
% 0.62/0.81 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.62/0.81 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__lessD1_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_trans__less__add1_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_trans__less__add2_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.81 | 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.62/0.81 | 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_nat__add__commute_0,axiom,
% 0.62/0.81 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) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_less__add__eq__less_0,axiom,
% 0.62/0.81 ( 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)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.62/0.81 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.81 | 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_mult__eq__1__iff_0,axiom,
% 0.62/0.81 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.62/0.81 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_mult__eq__1__iff_1,axiom,
% 0.62/0.81 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.62/0.81 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_foldl__assoc_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.62/0.81 | 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)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_foldr__append_0,axiom,
% 0.62/0.81 c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.62/0.81 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.62/0.81 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.62/0.81 | V_m = V_n ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.62/0.81 | ~ class_Int_Onumber__ring(T_a)
% 0.62/0.81 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.62/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__eq__self__zero_0,axiom,
% 0.62/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.62/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.62/0.81 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.62/0.81 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
% 0.62/0.81 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.62/0.81 | V_m = V_n
% 0.62/0.81 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_mult__cancel1_0,axiom,
% 0.62/0.81 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.62/0.81 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.62/0.81 | V_m = V_n ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_mult__cancel2_0,axiom,
% 0.62/0.81 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)
% 0.62/0.81 | V_k = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.62/0.81 | V_m = V_n ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__is__0_0,axiom,
% 0.62/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.62/0.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__is__0_1,axiom,
% 0.62/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.62/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_double__eq__0__iff_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.62/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.62/0.81 | 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.62/0.81 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.62/0.81 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.62/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_no__zero__divisors_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.62/0.81 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.62/0.81 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.62/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.62/0.81 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.62/0.81 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.62/0.81 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_mult__is__0_0,axiom,
% 0.62/0.81 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.62/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.62/0.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.62/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.62/0.81 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_even__less__0__iff_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.62/0.81 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_even__less__0__iff_1,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.62/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_one__is__add_1,axiom,
% 0.62/0.81 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.62/0.81 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.62/0.81 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.81 | 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.81 | 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.81 | 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)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.81 | 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)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__gr__0_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.62/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.62/0.81 | ~ 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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_conversep_Ointros_0,axiom,
% 0.62/0.81 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 0.62/0.81 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_conversep_Ocases_0,axiom,
% 0.62/0.81 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 0.62/0.81 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_conversep__iff_1,axiom,
% 0.62/0.81 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 0.62/0.81 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_conversepD_0,axiom,
% 0.62/0.81 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 0.62/0.81 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__cancel__21_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.62/0.81 | 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)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.62/0.81 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__inf__distrib__left_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(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),T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__inf__distrib__right_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_c) = c_Lattices_Olower__semilattice__class_Oinf(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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(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),T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_c) = c_Lattices_Olower__semilattice__class_Oinf(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) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_one__is__add_5,axiom,
% 0.62/0.81 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))) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_nat__mult__eq__cancel1_0,axiom,
% 0.62/0.81 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.62/0.81 | V_m = V_n ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_one__is__add_3,axiom,
% 0.62/0.81 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.62/0.81 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.62/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_one__is__add_0,axiom,
% 0.62/0.81 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.62/0.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.62/0.81 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_mult__less__cancel2_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_mult__less__cancel1_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_foldl__Cons_0,axiom,
% 0.62/0.81 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) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__Suc__shift_0,axiom,
% 0.62/0.81 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)) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_rtranclp__converseD_0,axiom,
% 0.62/0.81 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 0.62/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_rtranclp__converseI_0,axiom,
% 0.62/0.81 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 0.62/0.81 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_left__add__mult__distrib_0,axiom,
% 0.62/0.81 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_k)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_u,tc_nat)),V_k) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_combine__common__factor_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.62/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_e,T_a)),V_c) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_of__nat__0_0,axiom,
% 0.62/0.81 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.62/0.81 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_nat__0__less__mult__iff_1,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_nat__0__less__mult__iff_0,axiom,
% 0.62/0.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.62/0.81
% 0.62/0.81 cnf(cls_add__neg__neg_0,axiom,
% 0.62/0.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.62/0.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.81 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.62/0.82 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) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_append__Cons_0,axiom,
% 0.62/0.82 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) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.62/0.82 | 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)) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_not__square__less__zero_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_Suc__mult__less__cancel1_1,axiom,
% 0.62/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_Suc__mult__less__cancel1_0,axiom,
% 0.62/0.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.62/0.82 ( 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)
% 0.62/0.82 | V_y = V_z ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.62/0.82 ( 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)
% 0.62/0.82 | V_m = V_n ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.62/0.82 ( 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)
% 0.62/0.82 | V_m = V_n ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.62/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)
% 0.62/0.82 | V_y = V_z ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_add__imp__eq_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.62/0.82 | V_b = V_c ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_add__left__cancel_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)
% 0.62/0.82 | V_b = V_c ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_add__right__cancel_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)
% 0.62/0.82 | V_b = V_c ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.62/0.82 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.62/0.82 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_neq__Nil__conv_1,axiom,
% 0.62/0.82 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.62/0.82 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.62/0.82 ( V_x = V_y
% 0.62/0.82 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.62/0.82 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_add__is__1_3,axiom,
% 0.62/0.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.62/0.82 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.62/0.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_add__is__1_0,axiom,
% 0.62/0.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.62/0.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.62/0.82 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a)
% 0.62/0.82 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a)
% 0.62/0.82 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.62/0.82 | ~ 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) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_not__Cons__self2_0,axiom,
% 0.62/0.82 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_not__Cons__self_0,axiom,
% 0.62/0.82 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_list__app__typeD_0,axiom,
% 0.62/0.82 ( 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))
% 0.62/0.82 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel2_2,axiom,
% 0.62/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel1_2,axiom,
% 0.62/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__mono2_0,axiom,
% 0.62/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__mono1_0,axiom,
% 0.62/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_nat__mult__less__cancel1_0,axiom,
% 0.62/0.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_nat__mult__less__cancel1_1,axiom,
% 0.62/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_m,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_m,T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.62/0.82 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.62/0.82 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.62/0.82 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.62/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.62/0.82 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_add__0__left_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.62/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.62/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),T_a) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_add__gr__0_2,axiom,
% 0.62/0.82 ( 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)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_add__gr__0_1,axiom,
% 0.62/0.82 ( 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)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.62/0.82
% 0.62/0.82 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.62/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.62/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.62/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ).
% 0.62/0.82
% 0.75/0.82 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.75/0.82 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_n__less__n__mult__m_0,axiom,
% 0.75/0.82 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_n__less__m__mult__n_0,axiom,
% 0.75/0.82 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_one__is__add_2,axiom,
% 0.75/0.82 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)
% 0.75/0.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.75/0.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__pos__pos_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__neg__neg_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_nat__0__less__mult__iff_2,axiom,
% 0.75/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_foldl__absorb0_0,axiom,
% 0.75/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.82 | 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) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__Suc__right_0,axiom,
% 0.75/0.82 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__Suc_0,axiom,
% 0.75/0.82 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_of__nat__mult_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.75/0.82 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.75/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_w,V_z,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a))
% 0.75/0.82 | V_y = V_z
% 0.75/0.82 | V_w = V_x ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.75/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_d,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a))
% 0.75/0.82 | V_c = V_d
% 0.75/0.82 | V_a = V_b ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_natgb_Onoteq__reduce_0,axiom,
% 0.75/0.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat)),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat)),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat))
% 0.75/0.82 | V_c = V_d
% 0.75/0.82 | V_a = V_b ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_natgb_Oadd__mul__solve_0,axiom,
% 0.75/0.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat))
% 0.75/0.82 | V_y = V_z
% 0.75/0.82 | V_w = V_x ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_length__0__conv_1,axiom,
% 0.75/0.82 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_conversep__eq_0,axiom,
% 0.75/0.82 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__eq__1__iff_2,axiom,
% 0.75/0.82 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__zero__right_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__zero__left_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__is__0_1,axiom,
% 0.75/0.82 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__is__0_2,axiom,
% 0.75/0.82 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_one__is__add_4,axiom,
% 0.75/0.82 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)) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_length__append_0,axiom,
% 0.75/0.82 c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a))) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_add__pos__pos_0,axiom,
% 0.75/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.75/0.82 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.75/0.82 | V_xs = V_ys
% 0.75/0.82 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_add__strict__mono_0,axiom,
% 0.75/0.82 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/0.82 | 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)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_add__less__mono_0,axiom,
% 0.75/0.82 ( 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)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.75/0.82 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_of__nat__less__iff_1,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.82 | 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)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_of__nat__less__iff_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.82 | ~ 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) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_foldl__foldr1_0,axiom,
% 0.75/0.82 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/0.82 | 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) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__less__cancel1_1,axiom,
% 0.75/0.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__less__cancel2_1,axiom,
% 0.75/0.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__left__idem_0,axiom,
% 0.75/0.82 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.75/0.82 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__pos__neg2_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__pos__neg_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__neg__pos_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_length__0__conv_0,axiom,
% 0.75/0.82 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.75/0.82 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_pos__add__strict_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.82 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 0.75/0.82 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)) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_conversep__conversep_0,axiom,
% 0.75/0.82 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__cancel1_1,axiom,
% 0.75/0.82 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_mult__cancel2_1,axiom,
% 0.75/0.82 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_not__add__less1_0,axiom,
% 0.75/0.82 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_not__add__less2_0,axiom,
% 0.75/0.82 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/0.82 | ~ class_Int_Onumber__ring(T_a)
% 0.75/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Otimes__class_Otimes(V_r,V_c,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Otimes__class_Otimes(V_r,V_d,T_a))
% 0.75/0.82 | V_c = V_d
% 0.75/0.82 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
% 0.75/0.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat))
% 0.75/0.82 | V_c = V_d
% 0.75/0.82 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/0.82 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.75/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/0.82 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_add__strict__right__mono_0,axiom,
% 0.75/0.82 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/0.82 | 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)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_add__less__cancel__right_1,axiom,
% 0.75/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.82 | 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)
% 0.75/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.82
% 0.75/0.83 cnf(cls_add__less__cancel__right_0,axiom,
% 0.75/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/0.83 | ~ 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) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__strict__left__mono_0,axiom,
% 0.75/0.83 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/0.83 | 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)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__less__cancel__left_1,axiom,
% 0.75/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.83 | 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)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__less__cancel__left_0,axiom,
% 0.75/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/0.83 | ~ 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) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__less__mono1_0,axiom,
% 0.75/0.83 ( 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)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.83 | ~ 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) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.75/0.83 ( 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)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_list_Oinject_0,axiom,
% 0.75/0.83 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.75/0.83 | V_a = V_a_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_list_Oinject_1,axiom,
% 0.75/0.83 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.75/0.83 | V_list = V_list_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.75/0.83 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.75/0.83 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.75/0.83 | ~ 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) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.75/0.83 ( c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_x,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.75/0.83 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__is__1_5,axiom,
% 0.75/0.83 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)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_mult__idem_0,axiom,
% 0.75/0.83 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Suc__mult__cancel1_0,axiom,
% 0.75/0.83 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat)
% 0.75/0.83 | V_m = V_n ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_of__nat__add_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.75/0.83 | 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)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__is__1_1,axiom,
% 0.75/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.83 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.83 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__is__1_2,axiom,
% 0.75/0.83 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.75/0.83 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.75/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.75/0.83 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat__mult__assoc_0,axiom,
% 0.75/0.83 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__mult__distrib_0,axiom,
% 0.75/0.83 c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat)),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_add__mult__distrib2_0,axiom,
% 0.75/0.83 c_HOL_Otimes__class_Otimes(V_k,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat)),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/0.83 | c_HOL_Otimes__class_Otimes(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_accp_Ocases_0,axiom,
% 0.75/0.83 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 0.75/0.83 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_accp__downward_0,axiom,
% 0.75/0.83 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 0.75/0.83 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.75/0.83 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) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.75/0.83 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append1__eq__conv_0,axiom,
% 0.75/0.83 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.75/0.83 | V_xs = V_ys ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append1__eq__conv_1,axiom,
% 0.75/0.83 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.75/0.83 | V_x = V_y ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_one__less__mult_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_length__greater__0__conv_1,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 0.75/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_length__greater__0__conv_0,axiom,
% 0.75/0.83 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_double__induction__lemma_0,axiom,
% 0.75/0.83 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 0.75/0.83 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 0.75/0.83 | 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) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.75/0.83 ( V_ys = V_xs
% 0.75/0.83 | V_y = V_x
% 0.75/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.75/0.83 | V_y = V_x
% 0.75/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.75/0.83 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.75/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.75/0.83 ( V_ys = V_xs
% 0.75/0.83 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.75/0.83 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 0.75/0.83 ( 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))
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.75/0.83 | ~ 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) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/0.83 | 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)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_list__app__typeD_1,axiom,
% 0.75/0.83 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_list__app__typeE_1,axiom,
% 0.75/0.83 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_list__app__typeI_0,axiom,
% 0.75/0.83 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 0.75/0.83 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.75/0.83 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_Oinduct_3,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_P,V_x))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(V_A,V_P),v_sko__List__Xlistsp__Xinduct__2(V_A,V_P),t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,t_a),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_Oinducts_3,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_P,V_x))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(V_A,V_P),v_sko__List__Xlistsp__Xinducts__2(V_A,V_P),t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,t_a),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_var__app__typesE_0,axiom,
% 0.75/0.83 ( 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))
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_var__app__types_0,axiom,
% 0.75/0.83 ( 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)
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.75/0.83 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_Oinducts_1,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_P,V_x))
% 0.75/0.83 | hBOOL(hAPP(c_List_Olistsp(V_A,t_a),v_sko__List__Xlistsp__Xinducts__2(V_A,V_P)))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,t_a),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_Oinduct_1,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_P,V_x))
% 0.75/0.83 | hBOOL(hAPP(c_List_Olistsp(V_A,t_a),v_sko__List__Xlistsp__Xinduct__2(V_A,V_P)))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,t_a),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_head__Var__reduction_0,axiom,
% 0.75/0.83 ( c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB)
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.75/0.83 ( 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)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.75/0.83 ( 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)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.75/0.83 ( 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)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.75/0.83 ( 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_H)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.75/0.83 | 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)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_order__less__asym_H_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_order__less__asym_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.75/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_xt1_I9_J_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__SucI_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Suc__lessD_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_n__not__Suc__n_0,axiom,
% 0.75/0.83 V_n != c_Suc(V_n) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Suc__n__not__n_0,axiom,
% 0.75/0.83 c_Suc(V_n) != V_n ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.75/0.83 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.75/0.83 | V_type1 = V_type1_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.75/0.83 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.75/0.83 | V_type2 = V_type2_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_shift__gt_0,axiom,
% 0.75/0.83 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_neq0__conv_1,axiom,
% 0.75/0.83 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_liftn__0_0,axiom,
% 0.75/0.83 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_gr0I_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.75/0.83 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__trans__Suc_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__Suc__eq_2,axiom,
% 0.75/0.83 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_lessI_0,axiom,
% 0.75/0.83 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.75/0.83 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.75/0.83 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__infI1_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__infI2_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.83 | V_x = V_y
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_linorder__less__linear_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.83 | V_x = V_y
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_linorder__neqE_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/0.83 | V_x = V_y ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.75/0.83 | V_x = V_y ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat__less__cases_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.75/0.83 | V_m = V_n
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat__neq__iff_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.83 | V_m = V_n ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.83 | V_x = V_y
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.75/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/0.83 | V_x = V_y ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_order__less__irrefl_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_linorder__neq__iff_1,axiom,
% 0.75/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_order__less__le_1,axiom,
% 0.75/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__not__refl_0,axiom,
% 0.75/0.83 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat__less__le_1,axiom,
% 0.75/0.83 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.75/0.83 ( V_n = V_m
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__antisym_0,axiom,
% 0.75/0.83 ( V_m = V_n
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__SucE_0,axiom,
% 0.75/0.83 ( V_m = V_n
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_shift__eq_0,axiom,
% 0.75/0.83 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Abs_0,axiom,
% 0.75/0.83 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))
% 0.75/0.83 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__Suc0_1,axiom,
% 0.75/0.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__step1__Nil_0,axiom,
% 0.75/0.83 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__Nil__step1_0,axiom,
% 0.75/0.83 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_r__into__rtranclp_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat_Oinject_0,axiom,
% 0.75/0.83 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.75/0.83 | V_nat = V_nat_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Suc__inject_0,axiom,
% 0.75/0.83 ( c_Suc(V_x) != c_Suc(V_y)
% 0.75/0.83 | V_x = V_y ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_shift__commute_0,axiom,
% 0.75/0.83 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) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.75/0.83 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.75/0.83 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_rtranclp__trans_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.75/0.83 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.75/0.83 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__Suc0_0,axiom,
% 0.75/0.83 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__step1I_1,axiom,
% 0.75/0.83 ( 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)
% 0.75/0.83 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__step1I_0,axiom,
% 0.75/0.83 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.75/0.83 | 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) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_order__less__trans_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_xt1_I10_J_0,axiom,
% 0.75/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_gr__implies__not0_0,axiom,
% 0.75/0.83 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__less0_0,axiom,
% 0.75/0.83 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_zero__less__Suc_0,axiom,
% 0.75/0.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.75/0.83 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Suc__lessI_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.75/0.83 | c_Suc(V_m) = V_n
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__less__eq_1,axiom,
% 0.75/0.83 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_not__less__eq_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_rtranclp__idemp_0,axiom,
% 0.75/0.83 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_typing__elims_I2_J_0,axiom,
% 0.75/0.83 ( 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))
% 0.75/0.83 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Suc__less__eq_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Suc__mono_0,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_Oinduct_2,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_P,V_x))
% 0.75/0.83 | hBOOL(hAPP(V_P,v_sko__List__Xlistsp__Xinduct__2(V_A,V_P)))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,t_a),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_Oinduct_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_P,V_x))
% 0.75/0.83 | hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xinduct__1(V_A,V_P)))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,t_a),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_Oinducts_2,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_P,V_x))
% 0.75/0.83 | hBOOL(hAPP(V_P,v_sko__List__Xlistsp__Xinducts__2(V_A,V_P)))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,t_a),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_Oinducts_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_P,V_x))
% 0.75/0.83 | hBOOL(hAPP(V_A,v_sko__List__Xlistsp__Xinducts__1(V_A,V_P)))
% 0.75/0.83 | ~ hBOOL(hAPP(V_P,c_List_Olist_ONil(t_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,t_a),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_typing__elims_I2_J_1,axiom,
% 0.75/0.83 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 0.75/0.83 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_App_0,axiom,
% 0.75/0.83 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.75/0.83 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.75/0.83 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__Var_1,axiom,
% 0.75/0.83 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.75/0.83 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__Var_2,axiom,
% 0.75/0.83 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.75/0.83 | V_i = V_k
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__lt_0,axiom,
% 0.75/0.83 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_var__app__types_1,axiom,
% 0.75/0.83 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.75/0.83 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_var__app__typesE_1,axiom,
% 0.75/0.83 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp__inf__eq_0,axiom,
% 0.75/0.83 c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_List_Olistsp(V_A,T_a),c_List_Olistsp(V_B,T_a),tc_fun(tc_List_Olist(T_a),tc_bool)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subject__reduction_H_0,axiom,
% 0.75/0.83 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.75/0.83 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__lemma_0,axiom,
% 0.75/0.83 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.75/0.83 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.75/0.83 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.75/0.83 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_lift__type_0,axiom,
% 0.75/0.83 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 0.75/0.83 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_4,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_sko__InductTermi__XIT__Xcases__4(V_a),v_sko__InductTermi__XIT__Xcases__5(V_a),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.75/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.75/0.83 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.75/0.83 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_substn__subst__0_0,axiom,
% 0.75/0.83 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.75/0.83 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.75/0.83 | V_i = V_k
% 0.75/0.83 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_liftn__lift_0,axiom,
% 0.75/0.83 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_1,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_sko__InductTermi__XIT__Xcases__4(V_a),v_sko__InductTermi__XIT__Xcases__5(V_a),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.75/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_apps__preserves__betas_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_3,axiom,
% 0.75/0.83 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.75/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_0,axiom,
% 0.75/0.83 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.75/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_10,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_sko__InductTermi__XIT__Xcases__4(V_a),v_sko__InductTermi__XIT__Xcases__5(V_a),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.75/0.83 | hBOOL(hAPP(c_List_Olistsp(c_InductTermi_OIT,tc_Lambda_OdB),v_sko__InductTermi__XIT__Xcases__1(V_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_App__eq__foldl__conv_2,axiom,
% 0.75/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_r = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_7,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_sko__InductTermi__XIT__Xcases__4(V_a),v_sko__InductTermi__XIT__Xcases__5(V_a),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.75/0.83 | hBOOL(hAPP(c_List_Olistsp(c_InductTermi_OIT,tc_Lambda_OdB),v_sko__InductTermi__XIT__Xcases__1(V_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_substn__subst__n_0,axiom,
% 0.75/0.83 c_Lambda_Osubstn(V_t,V_s,V_n) = c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_beta_0,axiom,
% 0.75/0.83 hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_head__Var__reduction_1,axiom,
% 0.75/0.83 ( V_v = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_6,axiom,
% 0.75/0.83 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.75/0.83 | hBOOL(hAPP(c_List_Olistsp(c_InductTermi_OIT,tc_Lambda_OdB),v_sko__InductTermi__XIT__Xcases__1(V_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_9,axiom,
% 0.75/0.83 ( V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(V_a))),v_sko__InductTermi__XIT__Xcases__5(V_a)),v_sko__InductTermi__XIT__Xcases__6(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.75/0.83 | hBOOL(hAPP(c_List_Olistsp(c_InductTermi_OIT,tc_Lambda_OdB),v_sko__InductTermi__XIT__Xcases__1(V_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Beta_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_5,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.75/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.75/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_2,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.75/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.75/0.83 | V_a = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(V_a)),v_sko__InductTermi__XIT__Xcases__1(V_a),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_foldl__append_0,axiom,
% 0.75/0.83 c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_abs_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf1E_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_A,V_x))
% 0.75/0.83 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf1E_1,axiom,
% 0.75/0.83 ( hBOOL(hAPP(V_B,V_x))
% 0.75/0.83 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.75/0.83 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_lift__preserves__beta_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.75/0.83 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__lift_0,axiom,
% 0.75/0.83 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.75/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.75/0.83 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.75/0.83 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.75/0.83 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__commute_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Int__commute_0,axiom,
% 0.75/0.83 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__preserves__beta_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__same__eq_0,axiom,
% 0.75/0.83 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.75/0.83 | V_ys = V_zs ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_same__append__eq_0,axiom,
% 0.75/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.75/0.83 | V_ys = V_zs ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_8,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.75/0.83 | V_a = c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(V_a))
% 0.75/0.83 | hBOOL(hAPP(c_List_Olistsp(c_InductTermi_OIT,tc_Lambda_OdB),v_sko__InductTermi__XIT__Xcases__1(V_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__Nil2_0,axiom,
% 0.75/0.83 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.75/0.83 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_self__append__conv_1,axiom,
% 0.75/0.83 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__Nil_0,axiom,
% 0.75/0.83 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_self__append__conv2_1,axiom,
% 0.75/0.83 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_foldl__Nil_0,axiom,
% 0.75/0.83 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__left__commute_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__assoc_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Int__assoc_0,axiom,
% 0.75/0.83 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Int__left__commute_0,axiom,
% 0.75/0.83 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.75/0.83 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.75/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.75/0.83 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.75/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.75/0.83 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.75/0.83 | V_dB = V_dB_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.75/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.75/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.75/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.75/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.75/0.83 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_apps__preserves__beta_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.75/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_rs = V_ss ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.75/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_r = V_s ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.75/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.75/0.83 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.75/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__left__idem_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Int__left__absorb_0,axiom,
% 0.75/0.83 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osplit_2,axiom,
% 0.75/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.75/0.83 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.75/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.75/0.83 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__self__conv_0,axiom,
% 0.75/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.75/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_self__append__conv_0,axiom,
% 0.75/0.83 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.75/0.83 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__self__conv2_0,axiom,
% 0.75/0.83 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.75/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_self__append__conv2_0,axiom,
% 0.75/0.83 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.75/0.83 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf__idem_0,axiom,
% 0.75/0.83 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.75/0.83 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Int__absorb_0,axiom,
% 0.75/0.83 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subject__reduction_0,axiom,
% 0.75/0.83 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.75/0.83 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_inf1I_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.75/0.83 | ~ hBOOL(hAPP(V_B,V_x))
% 0.75/0.83 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.75/0.83 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.75/0.83 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__assoc_0,axiom,
% 0.75/0.83 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__eq__appendI_0,axiom,
% 0.75/0.83 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.75/0.83 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.75/0.83 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__App_0,axiom,
% 0.75/0.83 c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.75/0.83 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.75/0.83 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.75/0.83 | V_nat = V_nat_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.75/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.75/0.83 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osplit_0,axiom,
% 0.75/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.75/0.83 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.75/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_m = V_n ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.75/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_rs = V_ss ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__eq_0,axiom,
% 0.75/0.83 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.75/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a)))
% 0.75/0.83 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osplit_1,axiom,
% 0.75/0.83 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a)))
% 0.75/0.83 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_subst__Var__IT_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_image__image_0,axiom,
% 0.75/0.83 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_List_Olistsp(V_A,T_a),c_List_Oappend(V_xs,V_ys,T_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,T_a),V_ys))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,T_a),V_xs)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_in__listsp__conv__set_2,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_List_Olistsp(V_A,T_a),V_xs))
% 0.75/0.83 | ~ hBOOL(hAPP(V_A,c_List_Osko__List__Xin__listsp__conv__set__1__1(V_A,V_xs,T_a))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.75/0.83 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_OVar_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(c_InductTermi_OIT,tc_Lambda_OdB),V_rs)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.75/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.75/0.83 | V_dB1 = V_dB1_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.75/0.83 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.75/0.83 | V_dB2 = V_dB2_H ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_var__app__type__eq_0,axiom,
% 0.75/0.83 ( V_T = V_U
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U)
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp__infI_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),V_l))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_B,T_a),V_l))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,T_a),V_l)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.75/0.83 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_IT_Ocases_11,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(V_a)))
% 0.75/0.83 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(V_a)))
% 0.75/0.83 | hBOOL(hAPP(c_List_Olistsp(c_InductTermi_OIT,tc_Lambda_OdB),v_sko__InductTermi__XIT__Xcases__1(V_a)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_a)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.75/0.83 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_lift__IT_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Var__IT_0,axiom,
% 0.75/0.83 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.75/0.83 ( hAPP(V_e,V_i) = V_T
% 0.75/0.83 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.75/0.83 c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_listsp_ONil_0,axiom,
% 0.75/0.83 hBOOL(hAPP(c_List_Olistsp(V_A,T_a),c_List_Olist_ONil(T_a))) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_List_Olistsp(V_A,T_a),V_ys))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,T_a),c_List_Oappend(V_xs,V_ys,T_a))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_List_Olistsp(V_A,T_a),V_xs))
% 0.75/0.83 | ~ hBOOL(hAPP(c_List_Olistsp(V_A,T_a),c_List_Oappend(V_xs,V_ys,T_a))) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.75/0.83 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_COMBB__def_0,axiom,
% 0.75/0.83 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_COMBC__def_0,axiom,
% 0.75/0.83 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_typing_OVar_0,axiom,
% 0.75/0.83 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 0.75/0.83 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.75/0.83 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_r = V_s ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Lambda_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.75/0.83 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_appR_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_appL_0,axiom,
% 0.75/0.83 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)))
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.75/0.83 c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.75/0.83 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.75/0.83 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.75/0.83 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 0.75/0.83 c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.75/0.83 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_conjecture_0,negated_conjecture,
% 0.75/0.83 hBOOL(hAPP(c_List_Olistsp(c_InductTermi_OIT,tc_Lambda_OdB),v_rs)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_conjecture_1,negated_conjecture,
% 0.75/0.83 hBOOL(hAPP(c_List_Olistsp(c_COMBB(c_InductTermi_OIT,c_COMBC(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i),tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_bool,tc_Lambda_OdB),tc_Lambda_OdB),v_rs)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_conjecture_2,negated_conjecture,
% 0.75/0.83 ~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_i))) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.75/0.83 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.75/0.83 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.75/0.83 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.75/0.83 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.75/0.83 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.75/0.83 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.75/0.83 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.75/0.83 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.75/0.83 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.75/0.83 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.75/0.83 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.75/0.83 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.75/0.83 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.75/0.83 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.75/0.83 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.75/0.83 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.75/0.83 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.75/0.83 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.75/0.83 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.75/0.83 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.75/0.83 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.75/0.83 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.75/0.83 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.75/0.83 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.75/0.83 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.75/0.83 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.75/0.83 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.75/0.83 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.75/0.83 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.75/0.83 class_Orderings_Opreorder(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.75/0.83 class_Orderings_Olinorder(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.75/0.83 class_Lattices_Olattice(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.75/0.83 class_Orderings_Oorder(tc_nat) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.75/0.83 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.75/0.83 class_Orderings_Opreorder(tc_bool) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.75/0.83 class_Lattices_Olattice(tc_bool) ).
% 0.75/0.83
% 0.75/0.83 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.75/0.83 class_Orderings_Oorder(tc_bool) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 0.75/0.83 hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 0.75/0.83 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.75/0.83 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.75/0.83
% 0.75/0.83 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.75/0.83 ( V_X = V_Y
% 0.75/0.83 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.75/0.83
% 0.75/0.83 %------------------------------------------------------------------------------
% 0.75/0.83 %-------------------------------------------
% 0.75/0.83 % Proof found
% 0.75/0.83 % SZS status Theorem for theBenchmark
% 0.75/0.83 % SZS output start Proof
% 0.75/0.84 %ClaNum:735(EqnAxiom:179)
% 0.75/0.84 %VarNum:3256(SingletonVarNum:1327)
% 0.75/0.84 %MaxLitNum:5
% 0.75/0.84 %MaxfuncDepth:6
% 0.75/0.84 %SharedTerms:70
% 0.75/0.84 %goalClause: 230 316 325
% 0.75/0.84 %singleGoalClaCount:3
% 0.75/0.84 [180]P1(a1)
% 0.75/0.84 [181]P12(a1)
% 0.75/0.84 [182]P17(a1)
% 0.75/0.84 [183]P18(a1)
% 0.75/0.84 [184]P2(a1)
% 0.75/0.84 [185]P29(a1)
% 0.75/0.84 [186]P32(a1)
% 0.75/0.84 [187]P39(a1)
% 0.75/0.84 [188]P19(a1)
% 0.75/0.84 [189]P20(a1)
% 0.75/0.84 [190]P13(a1)
% 0.75/0.84 [191]P16(a1)
% 0.75/0.84 [192]P33(a1)
% 0.75/0.84 [193]P37(a1)
% 0.75/0.84 [194]P34(a1)
% 0.75/0.84 [195]P30(a1)
% 0.75/0.84 [196]P23(a1)
% 0.75/0.84 [197]P24(a1)
% 0.75/0.84 [198]P14(a1)
% 0.75/0.84 [199]P25(a1)
% 0.75/0.84 [200]P26(a1)
% 0.75/0.84 [201]P26(a2)
% 0.75/0.84 [202]P27(a1)
% 0.75/0.84 [203]P28(a1)
% 0.75/0.84 [204]P28(a2)
% 0.75/0.84 [205]P3(a1)
% 0.75/0.84 [206]P3(a2)
% 0.75/0.84 [207]P4(a1)
% 0.75/0.84 [208]P4(a2)
% 0.75/0.84 [230]P40(f31(f28(a9,a44),a48))
% 0.75/0.84 [325]~P40(f31(a9,f10(a49)))
% 0.75/0.84 [240]E(f8(f33(f4(a1)),f33(f4(a1)),a1),f33(f4(a1)))
% 0.75/0.84 [316]P40(f31(f28(f6(a9,f7(a11,f10(a49),a44,a44,a44),a44,a2,a44),a44),a48))
% 0.75/0.84 [331]~P5(x3311,x3311,a1)
% 0.75/0.84 [220]P5(x2201,f33(x2201),a1)
% 0.75/0.84 [228]P5(f4(a1),f33(x2281),a1)
% 0.75/0.84 [318]~E(f33(x3181),x3181)
% 0.75/0.84 [322]~E(f33(x3221),f4(a1))
% 0.75/0.84 [335]~P5(x3351,f4(a1),a1)
% 0.75/0.84 [209]E(f27(f3(x2091),f26(x2091)),f4(a1))
% 0.75/0.84 [210]P40(f31(a9,f10(x2101)))
% 0.75/0.84 [212]E(f31(f31(f5(a1),x2121),f4(a1)),x2121)
% 0.75/0.84 [217]E(f8(x2171,f4(a1),a1),f4(a1))
% 0.75/0.84 [218]E(f8(f4(a1),x2181,a1),f4(a1))
% 0.75/0.84 [229]E(f34(f36(x2291),x2291,x2291),f36(x2291))
% 0.75/0.84 [341]~P5(f4(a1),f27(f3(x3411),f26(x3411)),a1)
% 0.75/0.84 [213]E(f31(f31(f5(a1),f4(a1)),x2131),x2131)
% 0.75/0.84 [241]P6(x2411,f10(x2412),f31(x2411,x2412))
% 0.75/0.84 [244]E(f8(x2441,x2442,a1),f8(x2442,x2441,a1))
% 0.75/0.84 [324]~E(f10(x3241),f13(x3242))
% 0.75/0.84 [214]E(f32(f32(x2141,x2142),x2142),f32(x2141,x2142))
% 0.75/0.84 [216]E(f14(f4(a1),x2161,x2162),x2161)
% 0.75/0.84 [224]E(f18(x2241,f3(x2242),x2242),x2241)
% 0.75/0.84 [225]E(f18(f3(x2251),x2252,x2251),x2252)
% 0.75/0.84 [226]E(f19(f10(x2261),x2262,x2261),x2262)
% 0.75/0.84 [236]E(f20(x2361,x2361,f47(x2362,a2)),x2361)
% 0.75/0.84 [243]P40(f31(f28(x2431,x2432),f3(x2432)))
% 0.75/0.84 [247]E(f8(x2471,f4(a1),a1),f8(x2472,f4(a1),a1))
% 0.75/0.84 [248]E(f8(f4(a1),x2481,a1),f8(f4(a1),x2482,a1))
% 0.75/0.84 [259]E(f31(f31(f5(a1),x2591),f8(x2591,x2592,a1)),f8(x2591,f33(x2592),a1))
% 0.75/0.84 [260]E(f31(f31(f5(a1),x2601),f8(x2602,x2601,a1)),f8(f33(x2602),x2601,a1))
% 0.75/0.84 [263]E(f19(x2631,f14(f4(a1),x2632,f4(a1)),f4(a1)),f19(x2631,x2632,f4(a1)))
% 0.75/0.84 [242]E(f31(f31(f5(a1),x2421),x2422),f31(f31(f5(a1),x2422),x2421))
% 0.75/0.84 [245]P40(f31(f31(f36(x2451),x2452),x2452))
% 0.75/0.84 [246]E(f31(f31(f5(a1),f33(x2461)),x2462),f31(f31(f5(a1),x2461),f33(x2462)))
% 0.75/0.84 [289]P40(f31(f31(a12,f31(f31(a11,f13(x2891)),x2892)),f19(x2891,x2892,f4(a1))))
% 0.75/0.84 [340]~P40(f31(f31(a12,f10(x3401)),x3402))
% 0.75/0.84 [342]~P5(f31(f31(f5(a1),x3421),x3422),x3422,a1)
% 0.75/0.84 [343]~P5(f31(f31(f5(a1),x3431),x3432),x3431,a1)
% 0.75/0.84 [249]E(f33(f31(f31(f5(a1),x2491),x2492)),f31(f31(f5(a1),x2491),f33(x2492)))
% 0.75/0.84 [250]E(f33(f31(f31(f5(a1),x2501),x2502)),f31(f31(f5(a1),f33(x2501)),x2502))
% 0.75/0.84 [264]P5(x2641,f33(f31(f31(f5(a1),x2642),x2641)),a1)
% 0.75/0.84 [266]P5(x2661,f33(f31(f31(f5(a1),x2661),x2662)),a1)
% 0.75/0.84 [333]~E(f23(x3331,x3332,x3333),x3332)
% 0.75/0.84 [338]~E(f23(x3381,x3382,x3383),f3(x3383))
% 0.75/0.84 [344]~P7(x3441,x3442,f3(x3443),x3443)
% 0.75/0.84 [345]~P7(x3451,f3(x3452),x3453,x3452)
% 0.75/0.84 [239]E(f19(f15(x2391,x2392),x2393,x2392),x2391)
% 0.75/0.84 [251]E(f20(x2511,x2512,f47(x2513,a2)),f20(x2512,x2511,f47(x2513,a2)))
% 0.75/0.84 [252]E(f34(f34(x2521,x2522,x2523),x2523,x2522),x2521)
% 0.75/0.84 [255]E(f15(f14(x2551,x2552,x2553),x2553),f14(f33(x2551),x2552,x2553))
% 0.75/0.84 [270]E(f20(x2701,f20(x2701,x2702,f47(x2703,a2)),f47(x2703,a2)),f20(x2701,x2702,f47(x2703,a2)))
% 0.75/0.84 [272]E(f8(f8(x2721,x2722,a1),x2723,a1),f8(x2721,f8(x2722,x2723,a1),a1))
% 0.75/0.84 [326]~E(f13(x3261),f31(f31(a11,x3262),x3263))
% 0.75/0.84 [327]~E(f10(x3271),f31(f31(a11,x3272),x3273))
% 0.75/0.84 [328]~E(f31(f31(a11,x3281),x3282),f13(x3283))
% 0.75/0.84 [329]~E(f31(f31(a11,x3291),x3292),f10(x3293))
% 0.75/0.84 [254]E(f27(f23(x2541,x2542,x2543),f26(x2543)),f33(f27(x2542,f26(x2543))))
% 0.75/0.84 [257]P40(f31(f31(f32(x2571,x2572),x2573),x2573))
% 0.75/0.84 [258]E(f31(f31(a11,f15(x2581,x2582)),f15(x2583,x2582)),f15(f31(f31(a11,x2581),x2583),x2582))
% 0.75/0.84 [267]E(f27(f23(x2671,x2672,x2673),f26(x2673)),f31(f31(f5(a1),f27(x2672,f26(x2673))),f33(f4(a1))))
% 0.75/0.84 [269]E(f31(f31(f5(a1),f27(x2691,f26(x2692))),f27(x2693,f26(x2692))),f27(f18(x2691,x2693,x2692),f26(x2692)))
% 0.75/0.84 [271]E(f20(f28(x2711,x2712),f28(x2713,x2712),f47(f26(x2712),a2)),f28(f20(x2711,x2713,f47(x2712,a2)),x2712))
% 0.75/0.84 [268]E(f31(f31(f5(a1),x2681),f31(f31(f5(a1),x2682),x2683)),f31(f31(f5(a1),x2682),f31(f31(f5(a1),x2681),x2683)))
% 0.75/0.84 [286]E(f31(f31(f5(a1),f8(x2861,x2862,a1)),f8(x2861,x2863,a1)),f8(x2861,f31(f31(f5(a1),x2862),x2863),a1))
% 0.75/0.84 [287]E(f31(f31(f5(a1),f8(x2871,x2872,a1)),f8(x2873,x2872,a1)),f8(f31(f31(f5(a1),x2871),x2873),x2872,a1))
% 0.75/0.84 [281]E(f31(f31(f5(a1),f31(f31(f5(a1),x2811),x2812)),x2813),f31(f31(f5(a1),x2811),f31(f31(f5(a1),x2812),x2813)))
% 0.75/0.84 [278]E(f23(x2781,f18(x2782,x2783,x2784),x2784),f18(f23(x2781,x2782,x2784),x2783,x2784))
% 0.75/0.84 [280]E(f18(f18(x2801,x2802,x2803),x2804,x2803),f18(x2801,f18(x2802,x2804,x2803),x2803))
% 0.75/0.84 [282]E(f20(x2821,f20(x2822,x2823,f47(x2824,a2)),f47(x2824,a2)),f20(x2822,f20(x2821,x2823,f47(x2824,a2)),f47(x2824,a2)))
% 0.75/0.84 [283]E(f20(f20(x2831,x2832,f47(x2833,a2)),x2834,f47(x2833,a2)),f20(x2831,f20(x2832,x2834,f47(x2833,a2)),f47(x2833,a2)))
% 0.75/0.84 [288]E(f31(f37(x2881,x2882,x2883,x2884),x2882),x2883)
% 0.75/0.84 [292]E(f24(x2921,x2922,f3(x2923),x2924,x2923),x2922)
% 0.75/0.84 [293]E(f25(x2931,f3(x2932),x2933,x2932,x2934),x2933)
% 0.75/0.84 [347]~E(f24(a11,f10(x3471),x3472,a44,a44),f24(a11,f13(x3473),x3474,a44,a44))
% 0.75/0.84 [284]E(f31(f31(a11,f14(x2841,x2842,x2843)),f14(x2841,x2844,x2843)),f14(x2841,f31(f31(a11,x2842),x2844),x2843))
% 0.75/0.84 [285]E(f31(f31(a11,f19(x2851,x2852,x2853)),f19(x2854,x2852,x2853)),f19(f31(f31(a11,x2851),x2854),x2852,x2853))
% 0.75/0.84 [346]~E(f31(f31(a11,f13(x3461)),x3462),f24(a11,f10(x3463),x3464,a44,a44))
% 0.75/0.84 [303]E(f31(f31(f5(a1),f8(x3031,x3032,a1)),f31(f31(f5(a1),f8(x3033,x3032,a1)),x3034)),f31(f31(f5(a1),f8(f31(f31(f5(a1),x3031),x3033),x3032,a1)),x3034))
% 0.75/0.84 [297]E(f16(x2971,x2972,x2973,f13(x2974),x2975),f31(x2973,x2974))
% 0.75/0.84 [298]E(f16(x2981,x2982,x2983,f10(x2984),x2985),f31(x2981,x2984))
% 0.75/0.84 [299]E(f17(x2991,x2992,x2993,f10(x2994),x2995),f31(x2991,x2994))
% 0.75/0.84 [304]E(f37(f37(x3041,f4(a1),x3042,x3043),f33(x3044),x3045,x3043),f37(f37(x3041,x3044,x3045,x3043),f4(a1),x3042,x3043))
% 0.75/0.84 [311]E(f31(f31(x3111,x3112),f17(x3113,x3114,x3111,x3112,x3115)),f17(x3113,x3114,x3111,f13(x3112),x3115))
% 0.75/0.84 [306]E(f31(f6(x3061,x3062,x3063,x3064,x3065),x3066),f31(x3061,f31(x3062,x3066)))
% 0.75/0.84 [308]E(f31(f7(x3081,x3082,x3083,x3084,x3085),x3086),f31(f31(x3081,x3086),x3082))
% 0.75/0.84 [310]E(f35(x3101,f35(x3102,x3103,x3104,x3105),x3105,x3106),f35(f6(x3101,x3102,x3105,x3106,x3104),x3103,x3104,x3106))
% 0.75/0.84 [312]E(f25(x3121,f23(x3122,x3123,x3124),x3125,x3124,x3126),f31(f31(x3121,x3122),f25(x3121,x3123,x3125,x3124,x3126)))
% 0.75/0.84 [313]E(f24(x3131,f24(x3131,x3132,x3133,x3134,x3135),x3136,x3134,x3135),f24(x3131,x3132,f18(x3133,x3136,x3135),x3134,x3135))
% 0.75/0.84 [314]E(f25(x3141,x3142,f25(x3141,x3143,x3144,x3145,x3146),x3145,x3146),f25(x3141,f18(x3142,x3143,x3145),x3144,x3145,x3146))
% 0.75/0.84 [302]E(f16(x3021,x3022,x3023,f31(f31(a11,x3024),x3025),x3026),f31(f31(x3022,x3024),x3025))
% 0.75/0.84 [309]E(f24(x3091,x3092,f23(x3093,x3094,x3095),x3096,x3095),f24(x3091,f31(f31(x3091,x3092),x3093),x3094,x3096,x3095))
% 0.75/0.84 [315]E(f31(f31(f31(f31(x3151,x3152),x3153),f17(x3154,x3151,x3155,x3152,x3156)),f17(x3154,x3151,x3155,x3153,x3156)),f17(x3154,x3151,x3155,f31(f31(a11,x3152),x3153),x3156))
% 0.75/0.84 [359]E(x3591,f4(a1))+P5(f4(a1),x3591,a1)
% 0.75/0.84 [473]P9(f34(a12,a44,a44),x4731,a44)+~P40(f31(a9,x4731))
% 0.75/0.84 [499]~P9(f34(a12,a44,a44),x4991,a44)+P40(f31(a9,x4991))
% 0.75/0.84 [352]~P39(x3521)+E(f29(f4(a1),x3521),f4(x3521))
% 0.75/0.84 [381]~P21(x3811)+E(f31(f31(f5(x3811),f4(x3811)),f4(x3811)),f4(x3811))
% 0.75/0.84 [382]~P40(f31(a9,x3821))+P40(f31(a9,f13(x3821)))
% 0.75/0.84 [408]E(x4081,f4(a1))+~P5(x4081,f33(f4(a1)),a1)
% 0.75/0.84 [580]~P36(x5801)+E(f31(f31(f5(x5801),f8(f4(x5801),f4(x5801),x5801)),f8(f4(x5801),f4(x5801),x5801)),f4(x5801))
% 0.75/0.84 [681]~P36(x6811)+~P5(f4(x6811),f31(f31(f5(x6811),f8(f4(x6811),f4(x6811),x6811)),f8(f4(x6811),f4(x6811),x6811)),x6811)
% 0.75/0.84 [389]~P5(x3892,x3892,x3891)+~P26(x3891)
% 0.75/0.84 [390]~P5(x3902,x3902,x3901)+~P27(x3901)
% 0.75/0.84 [391]~P5(x3912,x3912,x3911)+~P28(x3911)
% 0.75/0.84 [349]E(x3491,x3492)+~E(f33(x3491),f33(x3492))
% 0.75/0.84 [350]E(x3501,x3502)+~E(f13(x3501),f13(x3502))
% 0.75/0.84 [351]E(x3511,x3512)+~E(f10(x3511),f10(x3512))
% 0.75/0.84 [353]~P26(x3532)+P26(f47(x3531,x3532))
% 0.75/0.84 [354]~P28(x3542)+P28(f47(x3541,x3542))
% 0.75/0.84 [355]~P4(x3552)+P3(f47(x3551,x3552))
% 0.75/0.84 [356]~P4(x3562)+P4(f47(x3561,x3562))
% 0.75/0.84 [360]~P15(x3602)+E(f8(x3601,x3601,x3602),x3601)
% 0.75/0.84 [361]~P3(x3612)+E(f20(x3611,x3611,x3612),x3611)
% 0.75/0.84 [419]P5(x4191,x4192,a1)+P5(x4192,f33(x4191),a1)
% 0.75/0.84 [437]~P5(x4371,x4372,a1)+P5(x4371,f33(x4372),a1)
% 0.75/0.84 [438]~P33(x4381)+~P5(f29(x4382,x4381),f4(x4381),x4381)
% 0.75/0.84 [439]P5(x4391,x4392,a1)+~P5(f33(x4391),x4392,a1)
% 0.75/0.84 [450]~P5(x4501,x4502,a1)+P5(f33(x4501),f33(x4502),a1)
% 0.75/0.84 [451]P5(x4511,x4512,a1)+~P5(f33(x4511),f33(x4512),a1)
% 0.75/0.84 [464]~P5(x4641,x4642,a1)+~P5(x4642,f33(x4641),a1)
% 0.75/0.84 [505]~P36(x5051)+~P5(f8(x5052,x5052,x5051),f4(x5051),x5051)
% 0.75/0.84 [513]P5(f4(a1),x5131,a1)+~P5(f4(a1),f8(x5132,x5131,a1),a1)
% 0.75/0.84 [514]P5(f4(a1),x5141,a1)+~P5(f4(a1),f8(x5141,x5142,a1),a1)
% 0.75/0.84 [357]E(x3571,f3(x3572))+~E(f27(x3571,f26(x3572)),f4(a1))
% 0.75/0.84 [362]~P12(x3621)+E(f31(f31(f5(x3621),x3622),f4(x3621)),x3622)
% 0.75/0.84 [363]~P17(x3631)+E(f31(f31(f5(x3631),x3632),f4(x3631)),x3632)
% 0.75/0.84 [364]~P20(x3641)+E(f31(f31(f5(x3641),x3642),f4(x3641)),x3642)
% 0.75/0.84 [365]~P17(x3652)+E(f8(x3651,f4(x3652),x3652),f4(x3652))
% 0.75/0.84 [366]~P38(x3662)+E(f8(x3661,f4(x3662),x3662),f4(x3662))
% 0.75/0.84 [367]~P30(x3672)+E(f8(x3671,f4(x3672),x3672),f4(x3672))
% 0.75/0.84 [369]~P17(x3691)+E(f8(f4(x3691),x3692,x3691),f4(x3691))
% 0.75/0.84 [370]~P38(x3701)+E(f8(f4(x3701),x3702,x3701),f4(x3701))
% 0.75/0.84 [371]~P30(x3711)+E(f8(f4(x3711),x3712,x3711),f4(x3711))
% 0.75/0.84 [401]E(x4011,f3(x4012))+P5(f4(a1),f27(x4011,f26(x4012)),a1)
% 0.75/0.84 [405]E(x4051,f33(f4(a1)))+~E(f8(x4052,x4051,a1),f33(f4(a1)))
% 0.75/0.84 [406]E(x4061,f33(f4(a1)))+~E(f8(x4061,x4062,a1),f33(f4(a1)))
% 0.75/0.84 [409]~P5(x4091,x4092,a1)+E(f15(f10(x4091),x4092),f10(x4091))
% 0.75/0.84 [436]~P40(f31(a9,x4361))+P40(f31(a9,f15(x4361,x4362)))
% 0.75/0.84 [488]~P40(f31(f31(a12,x4881),x4882))+P40(f31(f31(a12,f13(x4881)),f13(x4882)))
% 0.75/0.84 [696]~P20(x6961)+E(f25(f5(x6961),x6962,f4(x6961),x6961,x6961),f24(f5(x6961),f4(x6961),x6962,x6961,x6961))
% 0.75/0.84 [372]~P12(x3721)+E(f31(f31(f5(x3721),f4(x3721)),x3722),x3722)
% 0.75/0.84 [374]~P17(x3741)+E(f31(f31(f5(x3741),f4(x3741)),x3742),x3742)
% 0.75/0.84 [375]~P20(x3751)+E(f31(f31(f5(x3751),f4(x3751)),x3752),x3752)
% 0.75/0.84 [378]E(x3781,f4(a1))+~E(f31(f31(f5(a1),x3782),x3781),x3782)
% 0.75/0.84 [379]E(x3791,f4(a1))+~E(f31(f31(f5(a1),x3792),x3791),f4(a1))
% 0.75/0.84 [380]E(x3801,f4(a1))+~E(f31(f31(f5(a1),x3801),x3802),f4(a1))
% 0.75/0.84 [579]P40(f31(f31(f32(a12,a44),f13(x5791)),f13(x5792)))+~P40(f31(f31(f32(a12,a44),x5791),x5792))
% 0.75/0.84 [711]~P40(f31(f28(a9,a44),x7112))+P40(f31(a9,f24(a11,f10(x7111),x7112,a44,a44)))
% 0.75/0.84 [387]~E(f18(x3873,x3871,x3872),x3873)+E(x3871,f3(x3872))
% 0.75/0.84 [388]~E(f18(x3881,x3883,x3882),x3883)+E(x3881,f3(x3882))
% 0.75/0.84 [399]~E(f18(x3993,x3991,x3992),f3(x3992))+E(x3991,f3(x3992))
% 0.75/0.84 [400]~E(f18(x4001,x4003,x4002),f3(x4002))+E(x4001,f3(x4002))
% 0.75/0.84 [415]~P6(x4151,f10(x4152),x4153)+E(f31(x4151,x4152),x4153)
% 0.75/0.84 [423]~P17(x4233)+E(f8(x4231,x4232,x4233),f8(x4232,x4231,x4233))
% 0.75/0.84 [424]~P3(x4243)+E(f20(x4241,x4242,x4243),f20(x4242,x4241,x4243))
% 0.75/0.84 [425]~P4(x4253)+E(f20(x4251,x4252,x4253),f20(x4252,x4251,x4253))
% 0.75/0.84 [592]P5(x5921,x5922,a1)+~P5(f8(x5923,x5921,a1),f8(x5923,x5922,a1),a1)
% 0.75/0.84 [593]P5(x5931,x5932,a1)+~P5(f8(x5931,x5933,a1),f8(x5932,x5933,a1),a1)
% 0.75/0.84 [595]~P5(f8(x5952,x5951,a1),f8(x5953,x5951,a1),a1)+P5(f4(a1),x5951,a1)
% 0.75/0.84 [596]~P5(f8(x5961,x5962,a1),f8(x5961,x5963,a1),a1)+P5(f4(a1),x5961,a1)
% 0.75/0.84 [687]~E(f13(x6872),f24(a11,x6873,x6871,a44,a44))+E(x6871,f3(a44))
% 0.75/0.84 [688]~E(f10(x6882),f24(a11,x6883,x6881,a44,a44))+E(x6881,f3(a44))
% 0.75/0.84 [689]~E(f24(a11,x6892,x6891,a44,a44),f13(x6893))+E(x6891,f3(a44))
% 0.75/0.84 [690]E(x6901,f13(x6902))+~E(f24(a11,x6901,x6903,a44,a44),f13(x6902))
% 0.75/0.84 [691]E(f13(x6911),x6912)+~E(f13(x6911),f24(a11,x6912,x6913,a44,a44))
% 0.75/0.84 [692]E(f10(x6921),x6922)+~E(f10(x6921),f24(a11,x6922,x6923,a44,a44))
% 0.75/0.84 [702]E(x7021,x7022)+~E(f24(a11,x7021,x7023,a44,a44),f24(a11,x7022,x7023,a44,a44))
% 0.75/0.84 [443]~P5(x4432,x4433,a1)+E(f14(x4431,f10(x4432),x4433),f10(x4432))
% 0.75/0.84 [444]~P5(x4441,x4443,a1)+E(f19(f10(x4441),x4442,x4443),f10(x4441))
% 0.75/0.84 [471]E(x4711,x4712)+~E(f8(f33(x4713),x4711,a1),f8(f33(x4713),x4712,a1))
% 0.75/0.84 [478]~P15(x4783)+E(f8(x4781,f8(x4781,x4782,x4783),x4783),f8(x4781,x4782,x4783))
% 0.75/0.84 [479]~P3(x4793)+E(f20(x4791,f20(x4791,x4792,x4793),x4793),f20(x4791,x4792,x4793))
% 0.75/0.84 [480]~P4(x4803)+E(f20(x4801,f20(x4801,x4802,x4803),x4803),f20(x4801,x4802,x4803))
% 0.75/0.84 [487]~P39(x4872)+E(f8(f29(x4871,x4872),f29(x4873,x4872),x4872),f29(f8(x4871,x4873,a1),x4872))
% 0.75/0.84 [540]~P40(f31(f31(a12,x5401),x5403))+P40(f31(f31(a12,f15(x5401,x5402)),f15(x5403,x5402)))
% 0.75/0.84 [554]~P5(x5542,x5543,a1)+P5(f8(f33(x5541),x5542,a1),f8(f33(x5541),x5543,a1),a1)
% 0.75/0.84 [594]~P40(f31(x5941,f30(x5941,x5943,x5942)))+P40(f31(f28(x5941,x5942),x5943))
% 0.75/0.84 [674]~P36(x6741)+~P5(f31(f31(f5(x6741),f8(x6742,x6742,x6741)),f8(x6743,x6743,x6741)),f4(x6741),x6741)
% 0.75/0.84 [693]E(f31(f31(a11,x6931),x6932),x6933)+~E(f31(f31(a11,x6931),x6932),f24(a11,x6933,f3(a44),a44,a44))
% 0.75/0.84 [695]~P1(x6951)+E(f25(f5(x6951),x6952,x6953,x6951,x6951),f24(f5(x6951),x6953,x6952,x6951,x6951))
% 0.75/0.84 [729]~P40(f31(f31(a12,x7291),x7293))+P40(f31(f31(a12,f24(a11,x7291,x7292,a44,a44)),f24(a11,x7293,x7292,a44,a44)))
% 0.75/0.84 [731]~P7(a12,x7312,x7313,a44)+P40(f31(f31(a12,f24(a11,x7311,x7312,a44,a44)),f24(a11,x7311,x7313,a44,a44)))
% 0.75/0.84 [416]~P12(x4161)+E(f31(f31(f5(x4161),x4162),x4163),f31(f31(f5(x4161),x4163),x4162))
% 0.75/0.84 [418]~P17(x4181)+E(f31(f31(f5(x4181),x4182),x4183),f31(f31(f5(x4181),x4183),x4182))
% 0.75/0.84 [441]E(x4411,x4412)+~E(f31(f31(f5(a1),x4413),x4411),f31(f31(f5(a1),x4413),x4412))
% 0.75/0.84 [442]E(x4421,x4422)+~E(f31(f31(f5(a1),x4421),x4423),f31(f31(f5(a1),x4422),x4423))
% 0.75/0.84 [452]E(x4521,x4522)+~P40(f31(f31(f36(x4523),x4521),x4522))
% 0.75/0.84 [482]~P5(x4821,x4823,a1)+P5(x4821,f31(f31(f5(a1),x4822),x4823),a1)
% 0.75/0.84 [484]~P5(x4841,x4842,a1)+P5(x4841,f31(f31(f5(a1),x4842),x4843),a1)
% 0.75/0.84 [506]P5(x5061,x5062,a1)+~P5(f31(f31(f5(a1),x5061),x5063),x5062,a1)
% 0.75/0.84 [515]~P40(f31(a9,x5151))+P40(f31(a9,f19(x5151,f10(x5152),x5153)))
% 0.75/0.84 [520]~P5(x5201,x5203,a1)+P5(f31(f31(f5(a1),x5201),x5202),f31(f31(f5(a1),x5203),x5202),a1)
% 0.75/0.84 [521]~P5(x5212,x5213,a1)+P5(f31(f31(f5(a1),x5211),x5212),f31(f31(f5(a1),x5211),x5213),a1)
% 0.75/0.84 [565]P5(x5651,x5652,a1)+~P5(f31(f31(f5(a1),x5653),x5651),f31(f31(f5(a1),x5653),x5652),a1)
% 0.75/0.84 [626]P40(f31(f31(f32(a12,a44),f15(x6261,x6262)),f15(x6263,x6262)))+~P40(f31(f31(f32(a12,a44),x6261),x6263))
% 0.75/0.84 [635]~P40(f31(f31(a12,x6351),x6353))+P40(f31(f31(a12,f31(f31(a11,x6351),x6352)),f31(f31(a11,x6353),x6352)))
% 0.75/0.84 [636]~P40(f31(f31(a12,x6362),x6363))+P40(f31(f31(a12,f31(f31(a11,x6361),x6362)),f31(f31(a11,x6361),x6363)))
% 0.75/0.84 [652]~P40(f31(f31(f32(a12,a44),x6521),x6523))+P40(f31(f31(f32(a12,a44),f31(f31(a11,x6521),x6522)),f31(f31(a11,x6523),x6522)))
% 0.75/0.84 [653]~P40(f31(f31(f32(a12,a44),x6532),x6533))+P40(f31(f31(f32(a12,a44),f31(f31(a11,x6531),x6532)),f31(f31(a11,x6531),x6533)))
% 0.75/0.84 [700]~P20(x7001)+E(f31(f31(f5(x7001),x7002),f25(f5(x7001),x7003,f4(x7001),x7001,x7001)),f24(f5(x7001),x7002,x7003,x7001,x7001))
% 0.75/0.84 [701]~P20(x7011)+E(f31(f31(f5(x7011),x7012),f24(f5(x7011),f4(x7011),x7013,x7011,x7011)),f24(f5(x7011),x7012,x7013,x7011,x7011))
% 0.75/0.84 [730]P40(f31(f31(f32(a12,a44),f24(a11,x7301,x7302,a44,a44)),f24(a11,x7303,x7302,a44,a44)))+~P40(f31(f31(f32(a12,a44),x7301),x7303))
% 0.75/0.84 [477]P5(x4772,x4773,a1)+E(f14(x4771,f10(x4772),x4773),f10(f31(f31(f5(a1),x4772),x4771)))
% 0.75/0.84 [494]~P39(x4941)+E(f31(f31(f5(x4941),f29(x4942,x4941)),f29(x4943,x4941)),f29(f31(f31(f5(a1),x4942),x4943),x4941))
% 0.75/0.84 [732]P7(a12,x7321,f22(x7322,x7321,x7323),a44)+~P40(f31(f31(a12,f24(a11,f10(x7322),x7321,a44,a44)),x7323))
% 0.75/0.84 [734]E(f24(a11,f10(x7341),f22(x7341,x7342,x7343),a44,a44),x7343)+~P40(f31(f31(a12,f24(a11,f10(x7341),x7342,a44,a44)),x7343))
% 0.75/0.84 [457]E(x4571,x4572)+~E(f18(x4573,x4571,x4574),f18(x4573,x4572,x4574))
% 0.75/0.84 [459]E(x4591,x4592)+~E(f18(x4591,x4593,x4594),f18(x4592,x4593,x4594))
% 0.75/0.84 [708]P10(x7081,x7082,f40(x7083,x7081,x7084,x7082))+~P6(x7081,f24(a11,x7084,x7082,a44,a44),x7083)
% 0.75/0.84 [709]P10(x7091,x7092,f41(x7093,x7091,x7094,x7092))+~P6(x7091,f24(a11,x7094,x7092,a44,a44),x7093)
% 0.75/0.84 [426]E(x4261,x4262)+~E(f31(f31(a38,x4263),x4261),f31(f31(a38,x4264),x4262))
% 0.75/0.84 [427]E(x4271,x4272)+~E(f31(f31(a11,x4273),x4271),f31(f31(a11,x4274),x4272))
% 0.75/0.84 [428]E(x4281,x4282)+~E(f31(f31(a38,x4281),x4283),f31(f31(a38,x4282),x4284))
% 0.75/0.84 [429]E(x4291,x4292)+~E(f31(f31(a11,x4291),x4293),f31(f31(a11,x4292),x4294))
% 0.75/0.84 [525]~P17(x5254)+E(f8(x5251,f8(x5252,x5253,x5254),x5254),f8(x5252,f8(x5251,x5253,x5254),x5254))
% 0.75/0.84 [526]~P3(x5264)+E(f20(x5261,f20(x5262,x5263,x5264),x5264),f20(x5262,f20(x5261,x5263,x5264),x5264))
% 0.75/0.84 [527]~P4(x5274)+E(f20(x5271,f20(x5272,x5273,x5274),x5274),f20(x5272,f20(x5271,x5273,x5274),x5274))
% 0.75/0.84 [530]~P17(x5303)+E(f8(f8(x5301,x5302,x5303),x5304,x5303),f8(x5301,f8(x5302,x5304,x5303),x5303))
% 0.75/0.84 [531]~P14(x5313)+E(f8(f8(x5311,x5312,x5313),x5314,x5313),f8(x5311,f8(x5312,x5314,x5313),x5313))
% 0.75/0.84 [532]~P3(x5323)+E(f20(f20(x5321,x5322,x5323),x5324,x5323),f20(x5321,f20(x5322,x5324,x5323),x5323))
% 0.75/0.84 [533]~P4(x5333)+E(f20(f20(x5331,x5332,x5333),x5334,x5333),f20(x5331,f20(x5332,x5334,x5333),x5333))
% 0.75/0.84 [534]~P17(x5343)+E(f8(f8(x5341,x5342,x5343),x5344,x5343),f8(f8(x5341,x5344,x5343),x5342,x5343))
% 0.75/0.84 [616]~P40(f31(f28(x6161,x6162),f18(x6164,x6163,x6162)))+P40(f31(f28(x6161,x6162),x6163))
% 0.75/0.84 [617]~P40(f31(f28(x6171,x6172),f18(x6173,x6174,x6172)))+P40(f31(f28(x6171,x6172),x6173))
% 0.75/0.84 [644]P6(x6441,x6442,f39(x6443,x6441,x6444,x6442))+~P6(x6441,f31(f31(a11,x6444),x6442),x6443)
% 0.75/0.84 [651]~P40(f31(f31(a12,x6511),x6514))+P40(f31(f31(a12,f19(x6511,x6512,x6513)),f19(x6514,x6512,x6513)))
% 0.75/0.84 [661]P40(f31(f31(f32(a12,a44),f19(x6611,x6612,x6613)),f19(x6611,x6614,x6613)))+~P40(f31(f31(a12,x6612),x6614))
% 0.75/0.84 [664]P6(x6641,f13(x6642),f31(f31(a38,x6643),x6644))+~P6(f37(x6641,f4(a1),x6643,a46),x6642,x6644)
% 0.75/0.84 [704]E(x7041,x7042)+~E(f24(a11,f13(x7043),x7041,a44,a44),f24(a11,f13(x7044),x7042,a44,a44))
% 0.75/0.84 [705]E(x7051,x7052)+~E(f24(a11,f10(x7053),x7051,a44,a44),f24(a11,f10(x7054),x7052,a44,a44))
% 0.75/0.84 [706]E(x7061,x7062)+~E(f24(a11,f13(x7061),x7063,a44,a44),f24(a11,f13(x7062),x7064,a44,a44))
% 0.75/0.84 [707]E(x7071,x7072)+~E(f24(a11,f10(x7071),x7073,a44,a44),f24(a11,f10(x7072),x7074,a44,a44))
% 0.75/0.84 [710]P10(x7101,x7102,f42(x7103,x7101,x7104,x7102))+~P6(x7101,f24(a11,f10(x7104),x7102,a44,a44),x7103)
% 0.75/0.84 [717]~P6(x7171,f24(a11,x7172,x7174,a44,a44),x7173)+P6(x7171,x7172,f25(a38,f40(x7173,x7171,x7172,x7174),x7173,a46,a46))
% 0.75/0.84 [718]~P6(x7181,f24(a11,x7182,x7184,a44,a44),x7183)+P6(x7181,x7182,f25(a38,f41(x7183,x7181,x7182,x7184),x7183,a46,a46))
% 0.75/0.84 [719]~P6(x7191,f24(a11,f10(x7192),x7194,a44,a44),x7193)+P6(x7191,f10(x7192),f25(a38,f42(x7193,x7191,x7192,x7194),x7193,a46,a46))
% 0.75/0.84 [516]~P40(f31(f31(x5161,x5163),x5164))+P40(f31(f31(f32(x5161,x5162),x5163),x5164))
% 0.75/0.84 [624]P40(f31(x6241,x6242))+~P40(f31(f20(x6243,x6241,f47(x6244,a2)),x6242))
% 0.75/0.84 [625]P40(f31(x6251,x6252))+~P40(f31(f20(x6251,x6253,f47(x6254,a2)),x6252))
% 0.75/0.84 [666]P40(f31(f31(f32(a12,a44),f19(x6661,x6662,x6663)),f19(x6664,x6662,x6663)))+~P40(f31(f31(f32(a12,a44),x6661),x6664))
% 0.75/0.84 [667]P40(f31(f31(f32(a12,a44),f19(x6671,x6672,x6673)),f19(x6671,x6674,x6673)))+~P40(f31(f31(f32(a12,a44),x6672),x6674))
% 0.75/0.84 [694]~P6(x6941,f31(f31(a11,x6942),x6944),x6943)+P6(x6941,x6942,f31(f31(a38,f39(x6943,x6941,x6942,x6944)),x6943))
% 0.75/0.84 [517]~P12(x5171)+E(f31(f31(f5(x5171),x5172),f31(f31(f5(x5171),x5173),x5174)),f31(f31(f5(x5171),x5173),f31(f31(f5(x5171),x5172),x5174)))
% 0.75/0.84 [518]~P11(x5181)+E(f31(f31(f5(x5181),x5182),f31(f31(f5(x5181),x5183),x5184)),f31(f31(f5(x5181),x5183),f31(f31(f5(x5181),x5182),x5184)))
% 0.75/0.84 [519]~P17(x5191)+E(f31(f31(f5(x5191),x5192),f31(f31(f5(x5191),x5193),x5194)),f31(f31(f5(x5191),x5193),f31(f31(f5(x5191),x5192),x5194)))
% 0.75/0.84 [566]~P21(x5661)+E(f20(f31(f31(f5(x5661),x5662),x5663),f31(f31(f5(x5661),x5662),x5664),x5661),f31(f31(f5(x5661),x5662),f20(x5663,x5664,x5661)))
% 0.75/0.84 [567]~P22(x5671)+E(f20(f31(f31(f5(x5671),x5672),x5673),f31(f31(f5(x5671),x5672),x5674),x5671),f31(f31(f5(x5671),x5672),f20(x5673,x5674,x5671)))
% 0.75/0.84 [603]~P21(x6031)+E(f20(f31(f31(f5(x6031),x6032),x6033),f31(f31(f5(x6031),x6034),x6033),x6031),f31(f31(f5(x6031),f20(x6032,x6034,x6031)),x6033))
% 0.75/0.84 [604]~P22(x6041)+E(f20(f31(f31(f5(x6041),x6042),x6043),f31(f31(f5(x6041),x6044),x6043),x6041),f31(f31(f5(x6041),f20(x6042,x6044,x6041)),x6043))
% 0.75/0.84 [605]~P17(x6051)+E(f31(f31(f5(x6051),f8(x6052,x6053,x6051)),f8(x6052,x6054,x6051)),f8(x6052,f31(f31(f5(x6051),x6053),x6054),x6051))
% 0.75/0.84 [607]~P25(x6071)+E(f31(f31(f5(x6071),f8(x6072,x6073,x6071)),f8(x6074,x6073,x6071)),f8(f31(f31(f5(x6071),x6072),x6074),x6073,x6071))
% 0.75/0.84 [608]~P17(x6081)+E(f31(f31(f5(x6081),f8(x6082,x6083,x6081)),f8(x6084,x6083,x6081)),f8(f31(f31(f5(x6081),x6082),x6084),x6083,x6081))
% 0.75/0.84 [676]~P40(f31(f31(f32(x6761,x6762),x6764),x6763))+P40(f31(f31(f32(f34(x6761,x6762,x6762),x6762),x6763),x6764))
% 0.75/0.84 [686]P40(f31(f31(f32(x6861,x6862),x6863),x6864))+~P40(f31(f31(f32(f34(x6861,x6862,x6862),x6862),x6864),x6863))
% 0.75/0.84 [703]~P18(x7031)+E(f24(f5(x7031),f31(f31(f5(x7031),x7032),x7033),x7034,x7031,x7031),f31(f31(f5(x7031),x7032),f24(f5(x7031),x7033,x7034,x7031,x7031)))
% 0.75/0.84 [562]~P1(x5621)+E(f31(f31(f5(x5621),f31(f31(f5(x5621),x5622),x5623)),x5624),f31(f31(f5(x5621),x5622),f31(f31(f5(x5621),x5623),x5624)))
% 0.75/0.84 [563]~P12(x5631)+E(f31(f31(f5(x5631),f31(f31(f5(x5631),x5632),x5633)),x5634),f31(f31(f5(x5631),x5632),f31(f31(f5(x5631),x5633),x5634)))
% 0.75/0.84 [564]~P17(x5641)+E(f31(f31(f5(x5641),f31(f31(f5(x5641),x5642),x5643)),x5644),f31(f31(f5(x5641),x5642),f31(f31(f5(x5641),x5643),x5644)))
% 0.75/0.84 [601]~P17(x6011)+E(f31(f31(f5(x6011),f31(f31(f5(x6011),x6012),x6013)),x6014),f31(f31(f5(x6011),f31(f31(f5(x6011),x6012),x6014)),x6013))
% 0.75/0.84 [456]E(x4561,x4562)+~E(f23(x4563,x4561,x4564),f23(x4565,x4562,x4564))
% 0.75/0.84 [458]E(x4581,x4582)+~E(f23(x4581,x4583,x4584),f23(x4582,x4585,x4584))
% 0.75/0.84 [641]~P6(x6411,x6414,x6415)+P6(f37(x6411,x6412,x6413,a46),f15(x6414,x6412),x6415)
% 0.75/0.84 [654]~P7(x6541,x6543,x6545,x6544)+P7(x6541,f23(x6542,x6543,x6544),f23(x6542,x6545,x6544),x6544)
% 0.75/0.84 [655]~P7(x6551,x6552,x6555,x6554)+P7(x6551,f18(x6552,x6553,x6554),f18(x6555,x6553,x6554),x6554)
% 0.75/0.84 [656]~P7(x6561,x6563,x6565,x6564)+P7(x6561,f18(x6562,x6563,x6564),f18(x6562,x6565,x6564),x6564)
% 0.75/0.84 [611]~P17(x6113)+E(f8(f8(x6111,x6112,x6113),f8(x6114,x6115,x6113),x6113),f8(f8(x6111,x6114,x6113),f8(x6112,x6115,x6113),x6113))
% 0.75/0.84 [629]P7(x6291,f23(x6292,x6293,x6294),f23(x6295,x6293,x6294),x6294)+~P40(f31(f31(x6291,x6292),x6295))
% 0.75/0.84 [632]~P5(x6325,x6322,a1)+E(f31(f37(x6321,x6322,x6323,x6324),x6325),f31(x6321,x6325))
% 0.75/0.84 [618]E(x6181,x6182)+~E(f18(x6183,f23(x6181,f3(x6184),x6184),x6184),f18(x6185,f23(x6182,f3(x6184),x6184),x6184))
% 0.75/0.84 [619]E(x6191,x6192)+~E(f18(x6191,f23(x6193,f3(x6194),x6194),x6194),f18(x6192,f23(x6195,f3(x6194),x6194),x6194))
% 0.75/0.84 [638]~P40(f31(f31(x6381,x6385),x6384))+P40(f31(f31(f34(x6381,x6382,x6383),x6384),x6385))
% 0.75/0.84 [658]P40(f31(f31(x6581,x6582),x6583))+~P40(f31(f31(f34(x6581,x6584,x6585),x6583),x6582))
% 0.75/0.84 [722]P40(f31(x7221,f31(x7222,x7223)))+~P40(f31(x7221,f16(x7224,x7225,x7222,f13(x7223),a45)))
% 0.75/0.84 [724]P40(f31(x7241,f31(x7242,x7243)))+~P40(f31(x7241,f16(x7242,x7244,x7245,f10(x7243),a45)))
% 0.75/0.84 [642]~P17(x6421)+E(f31(f31(f5(x6421),f31(f31(f5(x6421),x6422),x6423)),f31(f31(f5(x6421),x6424),x6425)),f31(f31(f5(x6421),f31(f31(f5(x6421),x6422),x6424)),f31(f31(f5(x6421),x6423),x6425)))
% 0.75/0.84 [678]~P32(x6781)+E(f31(f31(f5(x6781),f8(x6782,x6783,x6781)),f31(f31(f5(x6781),f8(x6784,x6783,x6781)),x6785)),f31(f31(f5(x6781),f8(f31(f31(f5(x6781),x6782),x6784),x6783,x6781)),x6785))
% 0.75/0.84 [727]P40(f31(x7271,f31(f31(x7272,x7273),x7274)))+~P40(f31(x7271,f16(x7275,x7272,x7276,f31(f31(a11,x7273),x7274),a45)))
% 0.75/0.84 [411]E(x4111,x4112)+P5(x4112,x4111,a1)+P5(x4111,x4112,a1)
% 0.75/0.84 [392]E(x3921,f4(a1))+E(x3922,f4(a1))+~E(f8(x3922,x3921,a1),f4(a1))
% 0.75/0.84 [445]~P5(x4451,x4452,a1)+E(f33(x4451),x4452)+P5(f33(x4451),x4452,a1)
% 0.75/0.84 [446]E(x4461,x4462)+P5(x4462,x4461,a1)+~P5(x4462,f33(x4461),a1)
% 0.75/0.84 [448]E(x4481,x4482)+P5(x4481,x4482,a1)+~P5(x4481,f33(x4482),a1)
% 0.75/0.84 [470]~P33(x4701)+P5(f4(x4701),f29(x4702,x4701),x4701)+~P5(f4(a1),x4702,a1)
% 0.75/0.84 [475]~P33(x4752)+~P5(f4(x4752),f29(x4751,x4752),x4752)+P5(f4(a1),x4751,a1)
% 0.75/0.84 [537]~P5(f4(a1),x5372,a1)+~P5(f4(a1),x5371,a1)+P5(f4(a1),f8(x5371,x5372,a1),a1)
% 0.75/0.84 [376]~P31(x3761)+~P8(x3761)+E(f31(f31(f5(x3761),x3762),f4(x3761)),x3762)
% 0.75/0.84 [547]P5(x5471,f8(x5472,x5471,a1),a1)+~P5(f33(f4(a1)),x5472,a1)+~P5(f33(f4(a1)),x5471,a1)
% 0.75/0.84 [548]P5(x5481,f8(x5481,x5482,a1),a1)+~P5(f33(f4(a1)),x5482,a1)+~P5(f33(f4(a1)),x5481,a1)
% 0.75/0.84 [555]~P5(f33(f4(a1)),x5552,a1)+~P5(f33(f4(a1)),x5551,a1)+P5(f33(f4(a1)),f8(x5551,x5552,a1),a1)
% 0.75/0.84 [384]E(x3841,f4(a1))+E(x3842,f4(a1))+~E(f31(f31(f5(a1),x3842),x3841),f33(f4(a1)))
% 0.75/0.84 [395]E(x3951,f4(a1))+E(x3951,f33(f4(a1)))+~E(f31(f31(f5(a1),x3952),x3951),f33(f4(a1)))
% 0.75/0.84 [396]E(x3961,f4(a1))+E(x3961,f33(f4(a1)))+~E(f31(f31(f5(a1),x3961),x3962),f33(f4(a1)))
% 0.75/0.84 [403]E(x4031,f33(f4(a1)))+E(x4032,f33(f4(a1)))+~E(f31(f31(f5(a1),x4032),x4031),f33(f4(a1)))
% 0.75/0.84 [404]~P21(x4042)+E(x4041,f4(x4042))+~E(f31(f31(f5(x4042),x4041),x4041),f4(x4042))
% 0.75/0.84 [500]~P21(x5001)+~P5(f4(x5001),x5002,x5001)+P5(f4(x5001),f31(f31(f5(x5001),x5002),x5002),x5001)
% 0.75/0.84 [501]~P21(x5011)+~P5(x5012,f4(x5011),x5011)+P5(f31(f31(f5(x5011),x5012),x5012),f4(x5011),x5011)
% 0.75/0.84 [502]~P35(x5021)+~P5(x5022,f4(x5021),x5021)+P5(f31(f31(f5(x5021),x5022),x5022),f4(x5021),x5021)
% 0.75/0.84 [522]~P21(x5222)+P5(x5221,f4(x5222),x5222)+~P5(f31(f31(f5(x5222),x5221),x5221),f4(x5222),x5222)
% 0.75/0.84 [523]~P35(x5232)+P5(x5231,f4(x5232),x5232)+~P5(f31(f31(f5(x5232),x5231),x5231),f4(x5232),x5232)
% 0.75/0.84 [524]~P21(x5241)+P5(f4(x5241),x5242,x5241)+~P5(f4(x5241),f31(f31(f5(x5241),x5242),x5242),x5241)
% 0.75/0.84 [538]P5(f4(a1),x5381,a1)+P5(f4(a1),x5382,a1)+~P5(f4(a1),f31(f31(f5(a1),x5381),x5382),a1)
% 0.75/0.84 [466]~P5(x4663,x4662,x4661)+~P26(x4661)+~P5(x4662,x4663,x4661)
% 0.75/0.84 [467]~P5(x4673,x4672,x4671)+~P27(x4671)+~P5(x4672,x4673,x4671)
% 0.75/0.84 [468]~P5(x4683,x4682,x4681)+~P28(x4681)+~P5(x4682,x4683,x4681)
% 0.75/0.84 [358]~P2(x3583)+E(x3581,x3582)+~E(f29(x3581,x3583),f29(x3582,x3583))
% 0.75/0.84 [454]E(x4541,x4542)+~E(f8(x4543,x4541,a1),f8(x4543,x4542,a1))+E(x4543,f4(a1))
% 0.75/0.84 [455]E(x4551,x4552)+~E(f8(x4551,x4553,a1),f8(x4552,x4553,a1))+E(x4553,f4(a1))
% 0.75/0.84 [474]~P33(x4742)+~P5(x4741,x4743,a1)+P5(f29(x4741,x4742),f29(x4743,x4742),x4742)
% 0.75/0.84 [485]~P5(x4851,x4853,a1)+~P5(x4853,x4852,a1)+P5(f33(x4851),x4852,a1)
% 0.75/0.84 [486]~P33(x4863)+~P5(f29(x4861,x4863),f29(x4862,x4863),x4863)+P5(x4861,x4862,a1)
% 0.75/0.84 [497]E(x4971,x4972)+~E(f8(x4973,x4971,a1),f8(x4973,x4972,a1))+~P5(f4(a1),x4973,a1)
% 0.75/0.84 [572]~P5(x5721,x5723,a1)+P5(f8(x5721,x5722,a1),f8(x5723,x5722,a1),a1)+~P5(f4(a1),x5722,a1)
% 0.75/0.84 [575]~P5(x5752,x5753,a1)+P5(f8(x5751,x5752,a1),f8(x5751,x5753,a1),a1)+~P5(f4(a1),x5751,a1)
% 0.75/0.84 [435]E(x4351,x4352)+P5(x4352,x4351,a1)+E(f19(f10(x4351),x4353,x4352),f10(x4351))
% 0.75/0.84 [630]~P36(x6302)+E(x6301,f4(x6302))+~E(f31(f31(f5(x6302),f8(x6303,x6303,x6302)),f8(x6301,x6301,x6302)),f4(x6302))
% 0.75/0.84 [631]~P36(x6312)+E(x6311,f4(x6312))+~E(f31(f31(f5(x6312),f8(x6311,x6311,x6312)),f8(x6313,x6313,x6312)),f4(x6312))
% 0.75/0.84 [649]~P36(x6492)+E(x6491,f4(x6492))+P5(f4(x6492),f31(f31(f5(x6492),f8(x6493,x6493,x6492)),f8(x6491,x6491,x6492)),x6492)
% 0.75/0.84 [650]~P36(x6502)+E(x6501,f4(x6502))+P5(f4(x6502),f31(f31(f5(x6502),f8(x6501,x6501,x6502)),f8(x6503,x6503,x6502)),x6502)
% 0.75/0.84 [720]~P9(f34(a12,a44,a44),x7202,a44)+~P9(f34(a12,a44,a44),f24(a11,f19(x7201,x7202,f4(a1)),x7203,a44,a44),a44)+P9(f34(a12,a44,a44),f24(a11,f31(f31(a11,f13(x7201)),x7202),x7203,a44,a44),a44)
% 0.75/0.84 [728]~P40(f31(a9,x7282))+~P40(f31(a9,f24(a11,f19(x7281,x7282,f4(a1)),x7283,a44,a44)))+P40(f31(a9,f24(a11,f31(f31(a11,f13(x7281)),x7282),x7283,a44,a44)))
% 0.75/0.84 [495]~P3(x4953)+~P5(x4952,x4954,x4953)+P5(f20(x4951,x4952,x4953),x4954,x4953)
% 0.75/0.84 [496]~P3(x4963)+~P5(x4961,x4964,x4963)+P5(f20(x4961,x4962,x4963),x4964,x4963)
% 0.75/0.84 [498]P6(x4981,x4982,x4983)+~P6(x4981,x4984,x4983)+~P40(f31(f31(a12,x4984),x4982))
% 0.75/0.84 [504]P9(x5041,x5042,x5043)+~P9(x5041,x5044,x5043)+~P40(f31(f31(x5041,x5042),x5044))
% 0.75/0.84 [599]E(x5991,x5992)+E(x5993,f4(a1))+~E(f31(f31(f5(a1),x5994),f8(x5993,x5991,a1)),f31(f31(f5(a1),x5994),f8(x5993,x5992,a1)))
% 0.75/0.84 [623]~P40(f31(f28(x6231,x6232),x6234))+~P40(f31(f28(x6231,x6232),x6233))+P40(f31(f28(x6231,x6232),f18(x6233,x6234,x6232)))
% 0.75/0.84 [646]~P31(x6461)+~P8(x6461)+E(f31(f31(f5(x6461),f8(x6462,x6463,x6461)),f8(x6462,x6464,x6461)),f31(f31(f5(x6461),f8(x6462,x6464,x6461)),f8(x6462,x6463,x6461)))
% 0.75/0.84 [671]E(x6711,x6712)+E(x6713,x6714)+~E(f31(f31(f5(a1),f8(x6713,x6711,a1)),f8(x6714,x6712,a1)),f31(f31(f5(a1),f8(x6713,x6712,a1)),f8(x6714,x6711,a1)))
% 0.75/0.84 [699]E(x6991,f3(a44))+E(f24(a11,x6992,f21(x6993,x6994,x6992,x6991),a44,a44),x6993)+~E(f31(f31(a11,x6993),x6994),f24(a11,x6992,x6991,a44,a44))
% 0.75/0.84 [460]~P13(x4603)+E(x4601,x4602)+~E(f31(f31(f5(x4603),x4604),x4601),f31(f31(f5(x4603),x4604),x4602))
% 0.75/0.84 [461]~P16(x4613)+E(x4611,x4612)+~E(f31(f31(f5(x4613),x4614),x4611),f31(f31(f5(x4613),x4614),x4612))
% 0.75/0.84 [462]~P16(x4623)+E(x4621,x4622)+~E(f31(f31(f5(x4623),x4621),x4624),f31(f31(f5(x4623),x4622),x4624))
% 0.75/0.84 [507]~P5(x5074,x5073,a1)+P5(x5071,x5072,a1)+~E(f31(f31(f5(a1),x5071),x5073),f31(f31(f5(a1),x5074),x5072))
% 0.75/0.84 [541]~P23(x5411)+~P5(x5412,x5414,x5411)+P5(f31(f31(f5(x5411),x5412),x5413),f31(f31(f5(x5411),x5414),x5413),x5411)
% 0.75/0.84 [542]~P24(x5421)+~P5(x5422,x5424,x5421)+P5(f31(f31(f5(x5421),x5422),x5423),f31(f31(f5(x5421),x5424),x5423),x5421)
% 0.75/0.84 [543]~P23(x5431)+~P5(x5433,x5434,x5431)+P5(f31(f31(f5(x5431),x5432),x5433),f31(f31(f5(x5431),x5432),x5434),x5431)
% 0.75/0.84 [544]~P24(x5441)+~P5(x5443,x5444,x5441)+P5(f31(f31(f5(x5441),x5442),x5443),f31(f31(f5(x5441),x5442),x5444),x5441)
% 0.75/0.84 [557]P6(x5571,x5572,x5573)+~P6(x5571,x5574,x5573)+~P40(f31(f31(f32(a12,a44),x5574),x5572))
% 0.75/0.84 [558]~P5(x5582,x5584,a1)+~P5(x5581,x5583,a1)+P5(f31(f31(f5(a1),x5581),x5582),f31(f31(f5(a1),x5583),x5584),a1)
% 0.75/0.84 [570]~P40(f31(x5702,x5704))+~P40(f31(x5701,x5704))+P40(f31(f20(x5701,x5702,f47(x5703,a2)),x5704))
% 0.75/0.84 [577]P9(x5771,x5772,x5773)+~P9(x5771,x5774,x5773)+~P40(f31(f31(f32(x5771,x5773),x5772),x5774))
% 0.75/0.84 [597]~P24(x5973)+P5(x5971,x5972,x5973)+~P5(f31(f31(f5(x5973),x5974),x5971),f31(f31(f5(x5973),x5974),x5972),x5973)
% 0.75/0.84 [598]~P24(x5983)+P5(x5981,x5982,x5983)+~P5(f31(f31(f5(x5983),x5981),x5984),f31(f31(f5(x5983),x5982),x5984),x5983)
% 0.75/0.84 [668]~P40(f31(f31(f32(a12,a44),x6681),x6683))+~P40(f31(f31(f32(a12,a44),x6682),x6684))+P40(f31(f31(f32(a12,a44),f31(f31(a11,x6681),x6682)),f31(f31(a11,x6683),x6684)))
% 0.75/0.84 [662]~P40(f31(f28(x6622,x6623),x6624))+~P40(f31(f28(x6621,x6623),x6624))+P40(f31(f28(f20(x6621,x6622,f47(x6623,a2)),x6623),x6624))
% 0.75/0.84 [714]~P10(x7141,x7143,x7145)+~P6(x7141,x7142,f25(a38,x7145,x7144,a46,a46))+P6(x7141,f24(a11,x7142,x7143,a44,a44),x7144)
% 0.75/0.84 [559]~P6(x5591,x5593,x5595)+~P6(x5591,x5592,f31(f31(a38,x5595),x5594))+P6(x5591,f31(f31(a11,x5592),x5593),x5594)
% 0.75/0.84 [725]E(x7251,x7252)+~P6(x7253,f24(a11,f10(x7254),x7255,a44,a44),x7251)+~P6(x7253,f24(a11,f10(x7254),x7255,a44,a44),x7252)
% 0.75/0.84 [633]~P40(f31(f31(x6331,x6335),x6334))+~P40(f31(f31(f32(x6331,x6332),x6333),x6335))+P40(f31(f31(f32(x6331,x6332),x6333),x6334))
% 0.75/0.84 [634]~P40(f31(f31(x6341,x6343),x6345))+~P40(f31(f31(f32(x6341,x6342),x6345),x6344))+P40(f31(f31(f32(x6341,x6342),x6343),x6344))
% 0.75/0.84 [647]~P40(f31(f31(f32(x6471,x6472),x6473),x6475))+P40(f31(f31(f32(x6471,x6472),x6473),x6474))+~P40(f31(f31(f32(x6471,x6472),x6475),x6474))
% 0.75/0.84 [556]~P11(x5561)+E(f31(f31(f5(x5561),x5562),x5563),x5564)+~E(f31(f31(f5(x5561),x5562),f31(f31(f5(x5561),x5565),x5563)),f31(f31(f5(x5561),x5565),x5564))
% 0.75/0.84 [643]E(x6431,x6432)+E(x6433,x6434)+~P7(x6435,f23(x6434,x6432,x6436),f23(x6433,x6431,x6436),x6436)
% 0.75/0.84 [663]E(x6631,x6632)+P7(x6633,x6631,x6632,x6634)+~P7(x6633,f23(x6635,x6631,x6634),f23(x6636,x6632,x6634),x6634)
% 0.75/0.84 [669]~P6(x6691,x6693,x6696)+P6(x6691,f19(x6692,x6693,x6694),x6695)+~P6(f37(x6691,x6694,x6696,a46),x6692,x6695)
% 0.75/0.84 [648]E(x6481,x6482)+~P7(x6483,f23(x6482,x6484,x6485),f23(x6481,x6486,x6485),x6485)+P40(f31(f31(x6483,x6482),x6481))
% 0.75/0.84 [665]P7(x6651,x6652,x6653,x6654)+~P7(x6651,f23(x6655,x6652,x6654),f23(x6656,x6653,x6654),x6654)+P40(f31(f31(x6651,x6655),x6656))
% 0.75/0.84 [679]E(x6791,x6792)+E(x6793,x6794)+~P7(x6795,f18(x6793,f23(x6791,f3(x6796),x6796),x6796),f18(x6794,f23(x6792,f3(x6796),x6796),x6796),x6796)
% 0.75/0.84 [683]E(x6831,x6832)+~P7(x6833,f18(x6834,f23(x6831,f3(x6835),x6835),x6835),f18(x6836,f23(x6832,f3(x6835),x6835),x6835),x6835)+P40(f31(f31(x6833,x6831),x6832))
% 0.75/0.84 [684]E(x6841,x6842)+P7(x6843,x6841,x6842,x6844)+~P7(x6843,f18(x6841,f23(x6845,f3(x6844),x6844),x6844),f18(x6842,f23(x6846,f3(x6844),x6844),x6844),x6844)
% 0.75/0.84 [685]P7(x6851,x6852,x6853,x6854)+~P7(x6851,f18(x6852,f23(x6855,f3(x6854),x6854),x6854),f18(x6853,f23(x6856,f3(x6854),x6854),x6854),x6854)+P40(f31(f31(x6851,x6855),x6856))
% 0.75/0.84 [463]E(f13(f50(x4631)),x4631)+~P40(f31(a9,x4631))+P40(f31(f28(a9,a44),f51(x4631)))+P40(f31(a9,f53(x4631)))
% 0.75/0.84 [476]~P40(f31(a9,x4761))+P40(f31(f28(a9,a44),f51(x4761)))+P40(f31(a9,f50(x4761)))+P40(f31(a9,f53(x4761)))
% 0.75/0.84 [675]E(f13(f50(x6751)),x6751)+E(f24(a11,f10(f52(x6751)),f51(x6751),a44,a44),x6751)+~P40(f31(a9,x6751))+P40(f31(a9,f53(x6751)))
% 0.75/0.84 [677]E(f24(a11,f10(f52(x6771)),f51(x6771),a44,a44),x6771)+~P40(f31(a9,x6771))+P40(f31(a9,f53(x6771)))+P40(f31(a9,f50(x6771)))
% 0.75/0.84 [680]E(f13(f50(x6801)),x6801)+E(f24(a11,f31(f31(a11,f13(f54(x6801))),f53(x6801)),f56(x6801),a44,a44),x6801)+~P40(f31(a9,x6801))+P40(f31(f28(a9,a44),f51(x6801)))
% 0.75/0.84 [682]E(f24(a11,f31(f31(a11,f13(f54(x6821))),f53(x6821)),f56(x6821),a44,a44),x6821)+~P40(f31(a9,x6821))+P40(f31(f28(a9,a44),f51(x6821)))+P40(f31(a9,f50(x6821)))
% 0.75/0.84 [697]E(f13(f50(x6971)),x6971)+E(f24(a11,f10(f52(x6971)),f51(x6971),a44,a44),x6971)+E(f24(a11,f31(f31(a11,f13(f54(x6971))),f53(x6971)),f56(x6971),a44,a44),x6971)+~P40(f31(a9,x6971))
% 0.75/0.84 [698]E(f24(a11,f10(f52(x6981)),f51(x6981),a44,a44),x6981)+E(f24(a11,f31(f31(a11,f13(f54(x6981))),f53(x6981)),f56(x6981),a44,a44),x6981)+~P40(f31(a9,x6981))+P40(f31(a9,f50(x6981)))
% 0.75/0.84 [712]E(f13(f50(x7121)),x7121)+~P40(f31(a9,x7121))+P40(f31(f28(a9,a44),f51(x7121)))+P40(f31(a9,f24(a11,f19(f54(x7121),f53(x7121),f4(a1)),f56(x7121),a44,a44)))
% 0.75/0.84 [713]~P40(f31(a9,x7131))+P40(f31(f28(a9,a44),f51(x7131)))+P40(f31(a9,f50(x7131)))+P40(f31(a9,f24(a11,f19(f54(x7131),f53(x7131),f4(a1)),f56(x7131),a44,a44)))
% 0.75/0.84 [715]E(f13(f50(x7151)),x7151)+E(f24(a11,f10(f52(x7151)),f51(x7151),a44,a44),x7151)+~P40(f31(a9,x7151))+P40(f31(a9,f24(a11,f19(f54(x7151),f53(x7151),f4(a1)),f56(x7151),a44,a44)))
% 0.75/0.84 [716]E(f24(a11,f10(f52(x7161)),f51(x7161),a44,a44),x7161)+~P40(f31(a9,x7161))+P40(f31(a9,f50(x7161)))+P40(f31(a9,f24(a11,f19(f54(x7161),f53(x7161),f4(a1)),f56(x7161),a44,a44)))
% 0.75/0.84 [430]P5(x4301,x4302,x4303)+~P35(x4303)+E(x4301,x4302)+P5(x4302,x4301,x4303)
% 0.75/0.84 [434]P5(x4341,x4342,x4343)+~P27(x4343)+E(x4341,x4342)+P5(x4342,x4341,x4343)
% 0.75/0.84 [412]~P38(x4122)+~E(f8(x4123,x4121,x4122),f4(x4122))+E(x4121,f4(x4122))+E(x4123,f4(x4122))
% 0.75/0.84 [414]~P29(x4142)+~E(f8(x4143,x4141,x4142),f4(x4142))+E(x4141,f4(x4142))+E(x4143,f4(x4142))
% 0.75/0.84 [549]~P36(x5491)+~P5(x5493,f4(x5491),x5491)+~P5(x5492,f4(x5491),x5491)+P5(f4(x5491),f8(x5492,x5493,x5491),x5491)
% 0.75/0.84 [550]~P37(x5501)+~P5(f4(x5501),x5503,x5501)+~P5(f4(x5501),x5502,x5501)+P5(f4(x5501),f8(x5502,x5503,x5501),x5501)
% 0.75/0.84 [551]~P37(x5513)+~P5(x5512,f4(x5513),x5513)+~P5(f4(x5513),x5511,x5513)+P5(f8(x5511,x5512,x5513),f4(x5513),x5513)
% 0.75/0.84 [553]~P37(x5533)+~P5(x5531,f4(x5533),x5533)+~P5(f4(x5533),x5532,x5533)+P5(f8(x5531,x5532,x5533),f4(x5533),x5533)
% 0.75/0.84 [568]~P37(x5681)+~P5(f4(x5681),f8(x5683,x5682,x5681),x5681)+P5(f4(x5681),x5682,x5681)+~P5(f4(x5681),x5683,x5681)
% 0.75/0.84 [569]~P37(x5691)+~P5(f4(x5691),f8(x5692,x5693,x5691),x5691)+P5(f4(x5691),x5692,x5691)+~P5(f4(x5691),x5693,x5691)
% 0.75/0.84 [509]P40(f31(x5091,x5092))+P40(f31(x5093,f55(x5093,x5091)))+~P40(f31(f28(x5093,a45),x5092))+~P40(f31(x5091,f3(a45)))
% 0.75/0.84 [510]P40(f31(x5101,x5102))+P40(f31(x5103,f57(x5103,x5101)))+~P40(f31(f28(x5103,a45),x5102))+~P40(f31(x5101,f3(a45)))
% 0.75/0.84 [511]P40(f31(x5111,x5112))+P40(f31(x5111,f58(x5113,x5111)))+~P40(f31(f28(x5113,a45),x5112))+~P40(f31(x5111,f3(a45)))
% 0.75/0.84 [512]P40(f31(x5121,x5122))+P40(f31(x5121,f59(x5123,x5121)))+~P40(f31(f28(x5123,a45),x5122))+~P40(f31(x5121,f3(a45)))
% 0.75/0.84 [535]P40(f31(x5351,x5352))+~P40(f31(f28(x5353,a45),x5352))+P40(f31(f28(x5353,a45),f58(x5353,x5351)))+~P40(f31(x5351,f3(a45)))
% 0.75/0.84 [536]P40(f31(x5361,x5362))+~P40(f31(f28(x5363,a45),x5362))+P40(f31(f28(x5363,a45),f59(x5363,x5361)))+~P40(f31(x5361,f3(a45)))
% 0.75/0.84 [407]~P31(x4072)+~P8(x4072)+E(x4071,f4(x4072))+~E(f31(f31(f5(x4072),x4073),x4071),x4073)
% 0.75/0.84 [545]~P19(x5451)+~P5(f4(x5451),x5453,x5451)+~P5(f4(x5451),x5452,x5451)+P5(f4(x5451),f31(f31(f5(x5451),x5452),x5453),x5451)
% 0.75/0.84 [546]~P19(x5461)+~P5(x5463,f4(x5461),x5461)+~P5(x5462,f4(x5461),x5461)+P5(f31(f31(f5(x5461),x5462),x5463),f4(x5461),x5461)
% 0.75/0.84 [659]P40(f31(x6591,x6592))+~P40(f31(f28(x6593,a45),x6592))+~P40(f31(x6591,f3(a45)))+~P40(f31(x6591,f23(f55(x6593,x6591),f58(x6593,x6591),a45)))
% 0.75/0.84 [660]P40(f31(x6601,x6602))+~P40(f31(f28(x6603,a45),x6602))+~P40(f31(x6601,f3(a45)))+~P40(f31(x6601,f23(f57(x6603,x6601),f59(x6603,x6601),a45)))
% 0.75/0.84 [490]~P26(x4903)+~P5(x4901,x4904,x4903)+P5(x4901,x4902,x4903)+~P5(x4904,x4902,x4903)
% 0.75/0.84 [491]~P28(x4913)+~P5(x4911,x4914,x4913)+P5(x4911,x4912,x4913)+~P5(x4914,x4912,x4913)
% 0.75/0.84 [582]~P36(x5823)+~P5(x5824,x5821,x5823)+~P5(x5822,f4(x5823),x5823)+P5(f8(x5821,x5822,x5823),f8(x5824,x5822,x5823),x5823)
% 0.75/0.84 [585]~P36(x5853)+~P5(x5854,x5852,x5853)+~P5(x5851,f4(x5853),x5853)+P5(f8(x5851,x5852,x5853),f8(x5851,x5854,x5853),x5853)
% 0.75/0.84 [586]~P36(x5863)+~P5(x5861,x5864,x5863)+~P5(f4(x5863),x5862,x5863)+P5(f8(x5861,x5862,x5863),f8(x5864,x5862,x5863),x5863)
% 0.75/0.84 [587]~P37(x5873)+~P5(x5871,x5874,x5873)+~P5(f4(x5873),x5872,x5873)+P5(f8(x5871,x5872,x5873),f8(x5874,x5872,x5873),x5873)
% 0.75/0.84 [589]~P36(x5893)+~P5(x5892,x5894,x5893)+~P5(f4(x5893),x5891,x5893)+P5(f8(x5891,x5892,x5893),f8(x5891,x5894,x5893),x5893)
% 0.75/0.84 [590]~P37(x5903)+~P5(x5902,x5904,x5903)+~P5(f4(x5903),x5901,x5903)+P5(f8(x5901,x5902,x5903),f8(x5901,x5904,x5903),x5903)
% 0.75/0.84 [591]~P34(x5913)+~P5(x5912,x5914,x5913)+~P5(f4(x5913),x5911,x5913)+P5(f8(x5911,x5912,x5913),f8(x5911,x5914,x5913),x5913)
% 0.75/0.84 [609]P5(x6092,x6091,x6093)+~P36(x6093)+P5(x6091,x6092,x6093)+~P5(f8(x6094,x6091,x6093),f8(x6094,x6092,x6093),x6093)
% 0.75/0.84 [610]P5(x6102,x6101,x6103)+~P36(x6103)+P5(x6101,x6102,x6103)+~P5(f8(x6101,x6104,x6103),f8(x6102,x6104,x6103),x6103)
% 0.75/0.84 [612]~P36(x6123)+P5(x6121,x6122,x6123)+~P5(f8(x6121,x6124,x6123),f8(x6122,x6124,x6123),x6123)+P5(x6124,f4(x6123),x6123)
% 0.75/0.84 [613]~P36(x6133)+P5(x6131,x6132,x6133)+~P5(f8(x6134,x6131,x6133),f8(x6134,x6132,x6133),x6133)+P5(x6134,f4(x6133),x6133)
% 0.75/0.84 [614]~P36(x6143)+P5(x6141,x6142,x6143)+~P5(f8(x6144,x6142,x6143),f8(x6144,x6141,x6143),x6143)+P5(f4(x6143),x6144,x6143)
% 0.75/0.84 [615]~P36(x6153)+P5(x6151,x6152,x6153)+~P5(f8(x6152,x6154,x6153),f8(x6151,x6154,x6153),x6153)+P5(f4(x6153),x6154,x6153)
% 0.75/0.84 [620]~P36(x6202)+~P5(f8(x6203,x6201,x6202),f8(x6204,x6201,x6202),x6202)+P5(x6201,f4(x6202),x6202)+P5(f4(x6202),x6201,x6202)
% 0.75/0.84 [621]~P36(x6212)+~P5(f8(x6211,x6213,x6212),f8(x6211,x6214,x6212),x6212)+P5(x6211,f4(x6212),x6212)+P5(f4(x6212),x6211,x6212)
% 0.75/0.84 [627]~P36(x6273)+P5(x6271,x6272,x6273)+~P5(f8(x6274,x6272,x6273),f8(x6274,x6271,x6273),x6273)+~P5(x6274,f4(x6273),x6273)
% 0.75/0.84 [628]~P36(x6283)+P5(x6281,x6282,x6283)+~P5(f8(x6284,x6281,x6283),f8(x6284,x6282,x6283),x6283)+~P5(f4(x6283),x6284,x6283)
% 0.75/0.84 [469]~P31(x4693)+~P8(x4693)+E(x4691,x4692)+~E(f31(f31(f5(x4693),x4694),x4691),f31(f31(f5(x4693),x4694),x4692))
% 0.75/0.84 [539]~P33(x5392)+~P5(x5391,x5394,x5392)+~P5(f4(x5392),x5393,x5392)+P5(x5391,f31(f31(f5(x5392),x5393),x5394),x5392)
% 0.75/0.84 [578]~P23(x5781)+~P5(x5783,x5785,x5781)+~P5(x5782,x5784,x5781)+P5(f31(f31(f5(x5781),x5782),x5783),f31(f31(f5(x5781),x5784),x5785),x5781)
% 0.75/0.84 [733]~P10(x7331,x7335,x7336)+P10(x7331,x7332,f43(x7333,x7334,x7331,x7332))+~P6(x7331,f24(a11,f10(x7337),x7335,a44,a44),x7334)+~P6(x7331,f24(a11,f24(a11,f10(x7337),x7335,a44,a44),x7332,a44,a44),x7333)
% 0.75/0.84 [735]~P10(x7353,x7355,x7356)+~P6(x7353,f24(a11,f10(x7357),x7355,a44,a44),x7352)+~P6(x7353,f24(a11,f24(a11,f10(x7357),x7355,a44,a44),x7354,a44,a44),x7351)+E(f25(a38,f43(x7351,x7352,x7353,x7354),x7351,a46,a46),x7352)
% 0.75/0.84 [602]~P31(x6024)+~P8(x6024)+E(x6021,x6022)+E(x6023,f4(x6024))+~E(f31(f31(f5(x6024),x6025),f8(x6023,x6021,x6024)),f31(f31(f5(x6024),x6025),f8(x6023,x6022,x6024)))
% 0.75/0.84 [673]~P31(x6735)+~P8(x6735)+E(x6731,x6732)+E(x6733,x6734)+~E(f31(f31(f5(x6735),f8(x6733,x6731,x6735)),f8(x6734,x6732,x6735)),f31(f31(f5(x6735),f8(x6733,x6732,x6735)),f8(x6734,x6731,x6735)))
% 0.75/0.84 %EqnAxiom
% 0.75/0.84 [1]E(x11,x11)
% 0.75/0.84 [2]E(x22,x21)+~E(x21,x22)
% 0.75/0.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.75/0.84 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.75/0.84 [5]~E(x51,x52)+E(f26(x51),f26(x52))
% 0.75/0.84 [6]~E(x61,x62)+E(f27(x61,x63),f27(x62,x63))
% 0.75/0.84 [7]~E(x71,x72)+E(f27(x73,x71),f27(x73,x72))
% 0.75/0.84 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.75/0.84 [9]~E(x91,x92)+E(f10(x91),f10(x92))
% 0.75/0.84 [10]~E(x101,x102)+E(f31(x101,x103),f31(x102,x103))
% 0.75/0.84 [11]~E(x111,x112)+E(f31(x113,x111),f31(x113,x112))
% 0.75/0.84 [12]~E(x121,x122)+E(f5(x121),f5(x122))
% 0.75/0.84 [13]~E(x131,x132)+E(f8(x131,x133,x134),f8(x132,x133,x134))
% 0.75/0.84 [14]~E(x141,x142)+E(f8(x143,x141,x144),f8(x143,x142,x144))
% 0.75/0.84 [15]~E(x151,x152)+E(f8(x153,x154,x151),f8(x153,x154,x152))
% 0.75/0.84 [16]~E(x161,x162)+E(f24(x161,x163,x164,x165,x166),f24(x162,x163,x164,x165,x166))
% 0.75/0.84 [17]~E(x171,x172)+E(f24(x173,x171,x174,x175,x176),f24(x173,x172,x174,x175,x176))
% 0.75/0.84 [18]~E(x181,x182)+E(f24(x183,x184,x181,x185,x186),f24(x183,x184,x182,x185,x186))
% 0.75/0.84 [19]~E(x191,x192)+E(f24(x193,x194,x195,x191,x196),f24(x193,x194,x195,x192,x196))
% 0.75/0.84 [20]~E(x201,x202)+E(f24(x203,x204,x205,x206,x201),f24(x203,x204,x205,x206,x202))
% 0.75/0.84 [21]~E(x211,x212)+E(f51(x211),f51(x212))
% 0.75/0.84 [22]~E(x221,x222)+E(f25(x221,x223,x224,x225,x226),f25(x222,x223,x224,x225,x226))
% 0.75/0.84 [23]~E(x231,x232)+E(f25(x233,x231,x234,x235,x236),f25(x233,x232,x234,x235,x236))
% 0.75/0.84 [24]~E(x241,x242)+E(f25(x243,x244,x241,x245,x246),f25(x243,x244,x242,x245,x246))
% 0.75/0.84 [25]~E(x251,x252)+E(f25(x253,x254,x255,x251,x256),f25(x253,x254,x255,x252,x256))
% 0.75/0.84 [26]~E(x261,x262)+E(f25(x263,x264,x265,x266,x261),f25(x263,x264,x265,x266,x262))
% 0.75/0.84 [27]~E(x271,x272)+E(f28(x271,x273),f28(x272,x273))
% 0.75/0.84 [28]~E(x281,x282)+E(f28(x283,x281),f28(x283,x282))
% 0.75/0.84 [29]~E(x291,x292)+E(f18(x291,x293,x294),f18(x292,x293,x294))
% 0.75/0.84 [30]~E(x301,x302)+E(f18(x303,x301,x304),f18(x303,x302,x304))
% 0.75/0.84 [31]~E(x311,x312)+E(f18(x313,x314,x311),f18(x313,x314,x312))
% 0.75/0.84 [32]~E(x321,x322)+E(f33(x321),f33(x322))
% 0.75/0.84 [33]~E(x331,x332)+E(f54(x331),f54(x332))
% 0.75/0.84 [34]~E(x341,x342)+E(f19(x341,x343,x344),f19(x342,x343,x344))
% 0.75/0.84 [35]~E(x351,x352)+E(f19(x353,x351,x354),f19(x353,x352,x354))
% 0.75/0.84 [36]~E(x361,x362)+E(f19(x363,x364,x361),f19(x363,x364,x362))
% 0.75/0.84 [37]~E(x371,x372)+E(f53(x371),f53(x372))
% 0.75/0.84 [38]~E(x381,x382)+E(f13(x381),f13(x382))
% 0.75/0.84 [39]~E(x391,x392)+E(f32(x391,x393),f32(x392,x393))
% 0.75/0.84 [40]~E(x401,x402)+E(f32(x403,x401),f32(x403,x402))
% 0.75/0.84 [41]~E(x411,x412)+E(f20(x411,x413,x414),f20(x412,x413,x414))
% 0.75/0.84 [42]~E(x421,x422)+E(f20(x423,x421,x424),f20(x423,x422,x424))
% 0.75/0.84 [43]~E(x431,x432)+E(f20(x433,x434,x431),f20(x433,x434,x432))
% 0.75/0.84 [44]~E(x441,x442)+E(f47(x441,x443),f47(x442,x443))
% 0.75/0.84 [45]~E(x451,x452)+E(f47(x453,x451),f47(x453,x452))
% 0.75/0.84 [46]~E(x461,x462)+E(f50(x461),f50(x462))
% 0.75/0.84 [47]~E(x471,x472)+E(f34(x471,x473,x474),f34(x472,x473,x474))
% 0.75/0.84 [48]~E(x481,x482)+E(f34(x483,x481,x484),f34(x483,x482,x484))
% 0.75/0.84 [49]~E(x491,x492)+E(f34(x493,x494,x491),f34(x493,x494,x492))
% 0.75/0.84 [50]~E(x501,x502)+E(f29(x501,x503),f29(x502,x503))
% 0.75/0.84 [51]~E(x511,x512)+E(f29(x513,x511),f29(x513,x512))
% 0.75/0.84 [52]~E(x521,x522)+E(f37(x521,x523,x524,x525),f37(x522,x523,x524,x525))
% 0.75/0.84 [53]~E(x531,x532)+E(f37(x533,x531,x534,x535),f37(x533,x532,x534,x535))
% 0.75/0.84 [54]~E(x541,x542)+E(f37(x543,x544,x541,x545),f37(x543,x544,x542,x545))
% 0.75/0.84 [55]~E(x551,x552)+E(f37(x553,x554,x555,x551),f37(x553,x554,x555,x552))
% 0.75/0.84 [56]~E(x561,x562)+E(f23(x561,x563,x564),f23(x562,x563,x564))
% 0.75/0.84 [57]~E(x571,x572)+E(f23(x573,x571,x574),f23(x573,x572,x574))
% 0.75/0.84 [58]~E(x581,x582)+E(f23(x583,x584,x581),f23(x583,x584,x582))
% 0.75/0.84 [59]~E(x591,x592)+E(f14(x591,x593,x594),f14(x592,x593,x594))
% 0.75/0.84 [60]~E(x601,x602)+E(f14(x603,x601,x604),f14(x603,x602,x604))
% 0.75/0.84 [61]~E(x611,x612)+E(f14(x613,x614,x611),f14(x613,x614,x612))
% 0.75/0.84 [62]~E(x621,x622)+E(f17(x621,x623,x624,x625,x626),f17(x622,x623,x624,x625,x626))
% 0.75/0.84 [63]~E(x631,x632)+E(f17(x633,x631,x634,x635,x636),f17(x633,x632,x634,x635,x636))
% 0.75/0.84 [64]~E(x641,x642)+E(f17(x643,x644,x641,x645,x646),f17(x643,x644,x642,x645,x646))
% 0.75/0.84 [65]~E(x651,x652)+E(f17(x653,x654,x655,x651,x656),f17(x653,x654,x655,x652,x656))
% 0.75/0.84 [66]~E(x661,x662)+E(f17(x663,x664,x665,x666,x661),f17(x663,x664,x665,x666,x662))
% 0.75/0.84 [67]~E(x671,x672)+E(f40(x671,x673,x674,x675),f40(x672,x673,x674,x675))
% 0.75/0.84 [68]~E(x681,x682)+E(f40(x683,x681,x684,x685),f40(x683,x682,x684,x685))
% 0.75/0.84 [69]~E(x691,x692)+E(f40(x693,x694,x691,x695),f40(x693,x694,x692,x695))
% 0.75/0.84 [70]~E(x701,x702)+E(f40(x703,x704,x705,x701),f40(x703,x704,x705,x702))
% 0.75/0.84 [71]~E(x711,x712)+E(f43(x711,x713,x714,x715),f43(x712,x713,x714,x715))
% 0.75/0.84 [72]~E(x721,x722)+E(f43(x723,x721,x724,x725),f43(x723,x722,x724,x725))
% 0.75/0.84 [73]~E(x731,x732)+E(f43(x733,x734,x731,x735),f43(x733,x734,x732,x735))
% 0.75/0.84 [74]~E(x741,x742)+E(f43(x743,x744,x745,x741),f43(x743,x744,x745,x742))
% 0.75/0.84 [75]~E(x751,x752)+E(f55(x751,x753),f55(x752,x753))
% 0.75/0.84 [76]~E(x761,x762)+E(f55(x763,x761),f55(x763,x762))
% 0.75/0.84 [77]~E(x771,x772)+E(f6(x771,x773,x774,x775,x776),f6(x772,x773,x774,x775,x776))
% 0.75/0.84 [78]~E(x781,x782)+E(f6(x783,x781,x784,x785,x786),f6(x783,x782,x784,x785,x786))
% 0.75/0.84 [79]~E(x791,x792)+E(f6(x793,x794,x791,x795,x796),f6(x793,x794,x792,x795,x796))
% 0.75/0.84 [80]~E(x801,x802)+E(f6(x803,x804,x805,x801,x806),f6(x803,x804,x805,x802,x806))
% 0.75/0.84 [81]~E(x811,x812)+E(f6(x813,x814,x815,x816,x811),f6(x813,x814,x815,x816,x812))
% 0.75/0.84 [82]~E(x821,x822)+E(f57(x821,x823),f57(x822,x823))
% 0.75/0.84 [83]~E(x831,x832)+E(f57(x833,x831),f57(x833,x832))
% 0.75/0.84 [84]~E(x841,x842)+E(f56(x841),f56(x842))
% 0.75/0.84 [85]~E(x851,x852)+E(f58(x851,x853),f58(x852,x853))
% 0.75/0.84 [86]~E(x861,x862)+E(f58(x863,x861),f58(x863,x862))
% 0.75/0.84 [87]~E(x871,x872)+E(f35(x871,x873,x874,x875),f35(x872,x873,x874,x875))
% 0.75/0.84 [88]~E(x881,x882)+E(f35(x883,x881,x884,x885),f35(x883,x882,x884,x885))
% 0.75/0.84 [89]~E(x891,x892)+E(f35(x893,x894,x891,x895),f35(x893,x894,x892,x895))
% 0.75/0.84 [90]~E(x901,x902)+E(f35(x903,x904,x905,x901),f35(x903,x904,x905,x902))
% 0.75/0.84 [91]~E(x911,x912)+E(f21(x911,x913,x914,x915),f21(x912,x913,x914,x915))
% 0.75/0.84 [92]~E(x921,x922)+E(f21(x923,x921,x924,x925),f21(x923,x922,x924,x925))
% 0.75/0.84 [93]~E(x931,x932)+E(f21(x933,x934,x931,x935),f21(x933,x934,x932,x935))
% 0.75/0.84 [94]~E(x941,x942)+E(f21(x943,x944,x945,x941),f21(x943,x944,x945,x942))
% 0.75/0.84 [95]~E(x951,x952)+E(f16(x951,x953,x954,x955,x956),f16(x952,x953,x954,x955,x956))
% 0.75/0.84 [96]~E(x961,x962)+E(f16(x963,x961,x964,x965,x966),f16(x963,x962,x964,x965,x966))
% 0.75/0.84 [97]~E(x971,x972)+E(f16(x973,x974,x971,x975,x976),f16(x973,x974,x972,x975,x976))
% 0.75/0.84 [98]~E(x981,x982)+E(f16(x983,x984,x985,x981,x986),f16(x983,x984,x985,x982,x986))
% 0.75/0.84 [99]~E(x991,x992)+E(f16(x993,x994,x995,x996,x991),f16(x993,x994,x995,x996,x992))
% 0.75/0.84 [100]~E(x1001,x1002)+E(f59(x1001,x1003),f59(x1002,x1003))
% 0.75/0.84 [101]~E(x1011,x1012)+E(f59(x1013,x1011),f59(x1013,x1012))
% 0.75/0.84 [102]~E(x1021,x1022)+E(f15(x1021,x1023),f15(x1022,x1023))
% 0.75/0.84 [103]~E(x1031,x1032)+E(f15(x1033,x1031),f15(x1033,x1032))
% 0.75/0.84 [104]~E(x1041,x1042)+E(f52(x1041),f52(x1042))
% 0.75/0.84 [105]~E(x1051,x1052)+E(f30(x1051,x1053,x1054),f30(x1052,x1053,x1054))
% 0.75/0.84 [106]~E(x1061,x1062)+E(f30(x1063,x1061,x1064),f30(x1063,x1062,x1064))
% 0.75/0.84 [107]~E(x1071,x1072)+E(f30(x1073,x1074,x1071),f30(x1073,x1074,x1072))
% 0.75/0.84 [108]~E(x1081,x1082)+E(f41(x1081,x1083,x1084,x1085),f41(x1082,x1083,x1084,x1085))
% 0.75/0.84 [109]~E(x1091,x1092)+E(f41(x1093,x1091,x1094,x1095),f41(x1093,x1092,x1094,x1095))
% 0.75/0.84 [110]~E(x1101,x1102)+E(f41(x1103,x1104,x1101,x1105),f41(x1103,x1104,x1102,x1105))
% 0.75/0.84 [111]~E(x1111,x1112)+E(f41(x1113,x1114,x1115,x1111),f41(x1113,x1114,x1115,x1112))
% 0.75/0.84 [112]~E(x1121,x1122)+E(f7(x1121,x1123,x1124,x1125,x1126),f7(x1122,x1123,x1124,x1125,x1126))
% 0.75/0.84 [113]~E(x1131,x1132)+E(f7(x1133,x1131,x1134,x1135,x1136),f7(x1133,x1132,x1134,x1135,x1136))
% 0.75/0.84 [114]~E(x1141,x1142)+E(f7(x1143,x1144,x1141,x1145,x1146),f7(x1143,x1144,x1142,x1145,x1146))
% 0.75/0.84 [115]~E(x1151,x1152)+E(f7(x1153,x1154,x1155,x1151,x1156),f7(x1153,x1154,x1155,x1152,x1156))
% 0.75/0.84 [116]~E(x1161,x1162)+E(f7(x1163,x1164,x1165,x1166,x1161),f7(x1163,x1164,x1165,x1166,x1162))
% 0.75/0.84 [117]~E(x1171,x1172)+E(f39(x1171,x1173,x1174,x1175),f39(x1172,x1173,x1174,x1175))
% 0.75/0.84 [118]~E(x1181,x1182)+E(f39(x1183,x1181,x1184,x1185),f39(x1183,x1182,x1184,x1185))
% 0.75/0.84 [119]~E(x1191,x1192)+E(f39(x1193,x1194,x1191,x1195),f39(x1193,x1194,x1192,x1195))
% 0.75/0.84 [120]~E(x1201,x1202)+E(f39(x1203,x1204,x1205,x1201),f39(x1203,x1204,x1205,x1202))
% 0.75/0.84 [121]~E(x1211,x1212)+E(f42(x1211,x1213,x1214,x1215),f42(x1212,x1213,x1214,x1215))
% 0.75/0.84 [122]~E(x1221,x1222)+E(f42(x1223,x1221,x1224,x1225),f42(x1223,x1222,x1224,x1225))
% 0.75/0.84 [123]~E(x1231,x1232)+E(f42(x1233,x1234,x1231,x1235),f42(x1233,x1234,x1232,x1235))
% 0.75/0.84 [124]~E(x1241,x1242)+E(f42(x1243,x1244,x1245,x1241),f42(x1243,x1244,x1245,x1242))
% 0.75/0.84 [125]~E(x1251,x1252)+E(f36(x1251),f36(x1252))
% 0.75/0.84 [126]~E(x1261,x1262)+E(f22(x1261,x1263,x1264),f22(x1262,x1263,x1264))
% 0.75/0.84 [127]~E(x1271,x1272)+E(f22(x1273,x1271,x1274),f22(x1273,x1272,x1274))
% 0.75/0.84 [128]~E(x1281,x1282)+E(f22(x1283,x1284,x1281),f22(x1283,x1284,x1282))
% 0.75/0.84 [129]~P1(x1291)+P1(x1292)+~E(x1291,x1292)
% 0.75/0.84 [130]~P12(x1301)+P12(x1302)+~E(x1301,x1302)
% 0.75/0.84 [131]~P17(x1311)+P17(x1312)+~E(x1311,x1312)
% 0.75/0.84 [132]~P18(x1321)+P18(x1322)+~E(x1321,x1322)
% 0.75/0.84 [133]~P2(x1331)+P2(x1332)+~E(x1331,x1332)
% 0.75/0.84 [134]~P29(x1341)+P29(x1342)+~E(x1341,x1342)
% 0.75/0.84 [135]~P32(x1351)+P32(x1352)+~E(x1351,x1352)
% 0.75/0.84 [136]~P39(x1361)+P39(x1362)+~E(x1361,x1362)
% 0.75/0.84 [137]~P19(x1371)+P19(x1372)+~E(x1371,x1372)
% 0.75/0.84 [138]~P20(x1381)+P20(x1382)+~E(x1381,x1382)
% 0.75/0.84 [139]~P13(x1391)+P13(x1392)+~E(x1391,x1392)
% 0.75/0.84 [140]~P16(x1401)+P16(x1402)+~E(x1401,x1402)
% 0.75/0.84 [141]~P33(x1411)+P33(x1412)+~E(x1411,x1412)
% 0.75/0.84 [142]~P37(x1421)+P37(x1422)+~E(x1421,x1422)
% 0.75/0.84 [143]~P34(x1431)+P34(x1432)+~E(x1431,x1432)
% 0.75/0.84 [144]~P30(x1441)+P30(x1442)+~E(x1441,x1442)
% 0.75/0.84 [145]~P23(x1451)+P23(x1452)+~E(x1451,x1452)
% 0.75/0.84 [146]~P24(x1461)+P24(x1462)+~E(x1461,x1462)
% 0.75/0.84 [147]~P14(x1471)+P14(x1472)+~E(x1471,x1472)
% 0.75/0.84 [148]~P25(x1481)+P25(x1482)+~E(x1481,x1482)
% 0.75/0.84 [149]~P26(x1491)+P26(x1492)+~E(x1491,x1492)
% 0.75/0.84 [150]~P40(x1501)+P40(x1502)+~E(x1501,x1502)
% 0.75/0.84 [151]~P27(x1511)+P27(x1512)+~E(x1511,x1512)
% 0.75/0.84 [152]~P28(x1521)+P28(x1522)+~E(x1521,x1522)
% 0.75/0.84 [153]P10(x1532,x1533,x1534)+~E(x1531,x1532)+~P10(x1531,x1533,x1534)
% 0.75/0.84 [154]P10(x1543,x1542,x1544)+~E(x1541,x1542)+~P10(x1543,x1541,x1544)
% 0.75/0.84 [155]P10(x1553,x1554,x1552)+~E(x1551,x1552)+~P10(x1553,x1554,x1551)
% 0.75/0.84 [156]~P3(x1561)+P3(x1562)+~E(x1561,x1562)
% 0.75/0.84 [157]~P36(x1571)+P36(x1572)+~E(x1571,x1572)
% 0.75/0.84 [158]~P4(x1581)+P4(x1582)+~E(x1581,x1582)
% 0.75/0.84 [159]P5(x1592,x1593,x1594)+~E(x1591,x1592)+~P5(x1591,x1593,x1594)
% 0.75/0.84 [160]P5(x1603,x1602,x1604)+~E(x1601,x1602)+~P5(x1603,x1601,x1604)
% 0.75/0.84 [161]P5(x1613,x1614,x1612)+~E(x1611,x1612)+~P5(x1613,x1614,x1611)
% 0.75/0.84 [162]P6(x1622,x1623,x1624)+~E(x1621,x1622)+~P6(x1621,x1623,x1624)
% 0.75/0.84 [163]P6(x1633,x1632,x1634)+~E(x1631,x1632)+~P6(x1633,x1631,x1634)
% 0.75/0.84 [164]P6(x1643,x1644,x1642)+~E(x1641,x1642)+~P6(x1643,x1644,x1641)
% 0.75/0.84 [165]P7(x1652,x1653,x1654,x1655)+~E(x1651,x1652)+~P7(x1651,x1653,x1654,x1655)
% 0.75/0.84 [166]P7(x1663,x1662,x1664,x1665)+~E(x1661,x1662)+~P7(x1663,x1661,x1664,x1665)
% 0.75/0.84 [167]P7(x1673,x1674,x1672,x1675)+~E(x1671,x1672)+~P7(x1673,x1674,x1671,x1675)
% 0.75/0.84 [168]P7(x1683,x1684,x1685,x1682)+~E(x1681,x1682)+~P7(x1683,x1684,x1685,x1681)
% 0.75/0.84 [169]~P22(x1691)+P22(x1692)+~E(x1691,x1692)
% 0.75/0.84 [170]~P21(x1701)+P21(x1702)+~E(x1701,x1702)
% 0.75/0.84 [171]P9(x1712,x1713,x1714)+~E(x1711,x1712)+~P9(x1711,x1713,x1714)
% 0.75/0.84 [172]P9(x1723,x1722,x1724)+~E(x1721,x1722)+~P9(x1723,x1721,x1724)
% 0.75/0.84 [173]P9(x1733,x1734,x1732)+~E(x1731,x1732)+~P9(x1733,x1734,x1731)
% 0.75/0.84 [174]~P38(x1741)+P38(x1742)+~E(x1741,x1742)
% 0.75/0.84 [175]~P8(x1751)+P8(x1752)+~E(x1751,x1752)
% 0.75/0.84 [176]~P31(x1761)+P31(x1762)+~E(x1761,x1762)
% 0.75/0.84 [177]~P35(x1771)+P35(x1772)+~E(x1771,x1772)
% 0.75/0.84 [178]~P15(x1781)+P15(x1782)+~E(x1781,x1782)
% 0.75/0.84 [179]~P11(x1791)+P11(x1792)+~E(x1791,x1792)
% 0.75/0.84
% 0.75/0.84 %-------------------------------------------
% 0.75/0.84 cnf(736,plain,
% 0.75/0.84 ($false),
% 0.75/0.84 inference(scs_inference,[],[325,210]),
% 0.75/0.84 ['proof']).
% 0.75/0.84 % SZS output end Proof
% 0.75/0.84 % Total time :0.030000s
%------------------------------------------------------------------------------