TSTP Solution File: LCL818-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL818-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:51:10 EDT 2023
% Result : Unsatisfiable 0.74s 0.89s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL818-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 07:10:38 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.74/0.85 %-------------------------------------------
% 0.74/0.85 % File :CSE---1.6
% 0.74/0.85 % Problem :theBenchmark
% 0.74/0.85 % Transform :cnf
% 0.74/0.85 % Format :tptp:raw
% 0.74/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.74/0.85
% 0.74/0.85 % Result :Theorem 0.130000s
% 0.74/0.85 % Output :CNFRefutation 0.130000s
% 0.74/0.85 %-------------------------------------------
% 0.74/0.85 %------------------------------------------------------------------------------
% 0.74/0.85 % File : LCL818-1 : TPTP v8.1.2. Released v4.1.0.
% 0.74/0.85 % Domain : Logic Calculi
% 0.74/0.85 % Problem : Strong normalization of typed lambda calculus 186_15
% 0.74/0.85 % Version : Especial.
% 0.74/0.85 % English :
% 0.74/0.85
% 0.74/0.85 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 0.74/0.85 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.74/0.85 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.74/0.85 % Source : [Nip10]
% 0.74/0.85 % Names : StrongNorm-186_15 [Nip10]
% 0.74/0.85
% 0.74/0.85 % Status : Unsatisfiable
% 0.74/0.85 % Rating : 0.14 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.45 v5.3.0, 0.44 v5.1.0, 0.53 v5.0.0, 0.36 v4.1.0
% 0.74/0.85 % Syntax : Number of clauses : 398 ( 139 unt; 30 nHn; 226 RR)
% 0.74/0.85 % Number of literals : 761 ( 285 equ; 359 neg)
% 0.74/0.85 % Maximal clause size : 6 ( 1 avg)
% 0.74/0.85 % Maximal term depth : 6 ( 2 avg)
% 0.74/0.85 % Number of predicates : 30 ( 29 usr; 0 prp; 1-4 aty)
% 0.74/0.85 % Number of functors : 65 ( 65 usr; 24 con; 0-5 aty)
% 0.74/0.85 % Number of variables : 1184 ( 203 sgn)
% 0.74/0.85 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.74/0.85
% 0.74/0.85 % Comments :
% 0.74/0.85 %------------------------------------------------------------------------------
% 0.74/0.85 cnf(cls_lift__subst__lt_0,axiom,
% 0.74/0.85 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,V_i),c_Lambda_Olift(V_s,V_i),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)))
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_lift__subst_0,axiom,
% 0.74/0.85 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat))),c_Lambda_Olift(V_s,V_i),V_j)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_lift_Osimps_I3_J_0,axiom,
% 0.74/0.85 c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_less__add__one_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_zero__less__one_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_liftn_Osimps_I3_J_0,axiom,
% 0.74/0.85 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Oliftn(V_n,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_one__neq__zero_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.74/0.85 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.85
% 0.74/0.86 cnf(cls_not__one__less__zero_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_substn_Osimps_I3_J_0,axiom,
% 0.74/0.86 c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_of__nat__1_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.74/0.86 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_zero__neq__one_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.74/0.86 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_zero__less__two_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_lift_Osimps_I1_J_1,axiom,
% 0.74/0.86 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))
% 0.74/0.86 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_types__snocE_1,axiom,
% 0.74/0.86 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xtypes__snocE__1__1(V_Ts,V_e,V_t,V_ts))
% 0.74/0.86 | ~ c_Type_Otypings(V_e,c_List_Oappend(V_ts,c_List_Olist_OCons(V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),V_Ts) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_subst__Abs_0,axiom,
% 0.74/0.86 c_Lambda_Osubst(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_s,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_types__snocE_2,axiom,
% 0.74/0.86 ( c_Type_Otyping(V_e,V_t,c_Type_Osko__Type__Xtypes__snocE__1__2(V_Ts,V_e,V_t,V_ts))
% 0.74/0.86 | ~ c_Type_Otypings(V_e,c_List_Oappend(V_ts,c_List_Olist_OCons(V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),V_Ts) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.74/0.86 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.74/0.86 | ~ 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.74/0.86 | V_y = V_x
% 0.74/0.86 | ~ 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 0.74/0.86 ( V_ys = V_xs
% 0.74/0.86 | V_y = V_x
% 0.74/0.86 | ~ 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_listsum_0,axiom,
% 0.74/0.86 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.86 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__gr__0_1,axiom,
% 0.74/0.86 ( 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)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__gr__0_2,axiom,
% 0.74/0.86 ( 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)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.74/0.86 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.74/0.86 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.74/0.86 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_rtranclp__idemp_0,axiom,
% 0.74/0.86 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_App__eq__foldl__conv_1,axiom,
% 0.74/0.86 ( 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)
% 0.74/0.86 | V_ts = c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)
% 0.74/0.86 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_replicate__eq__replicate_1,axiom,
% 0.74/0.86 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.74/0.86 | V_x = V_y
% 0.74/0.86 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_replicate__eq__replicate_2,axiom,
% 0.74/0.86 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_of__nat__less__0__iff_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.86 | ~ 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Cons__step1__Cons_0,axiom,
% 0.74/0.86 ( V_x = V_y
% 0.74/0.86 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.74/0.86 | ~ 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_nat__add__left__cancel_0,axiom,
% 0.74/0.86 ( 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)
% 0.74/0.86 | V_m = V_n ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_nat__add__right__cancel_0,axiom,
% 0.74/0.86 ( 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)
% 0.74/0.86 | V_m = V_n ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 0.74/0.86 ( 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)
% 0.74/0.86 | V_y = V_z ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_rtranclp__converseI_0,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_rtranclp__converseD_0,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_conversepD_0,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_conversep__iff_1,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_conversep_Ocases_0,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_conversep_Ointros_0,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__gr__0_0,axiom,
% 0.74/0.86 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.74/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.74/0.86 | ~ 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_nat__add__assoc_0,axiom,
% 0.74/0.86 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)) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_nat__add__left__commute_0,axiom,
% 0.74/0.86 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)) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__is__0_2,axiom,
% 0.74/0.86 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) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_append__step1I_0,axiom,
% 0.74/0.86 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_append__step1I_1,axiom,
% 0.74/0.86 ( 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)
% 0.74/0.86 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Var_I3_J_0,axiom,
% 0.74/0.86 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_rotate__simps_0,axiom,
% 0.74/0.86 c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Cons__step1__Cons_2,axiom,
% 0.74/0.86 ( V_x = V_y
% 0.74/0.86 | V_xs = V_ys
% 0.74/0.86 | ~ 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Cons__step1__Cons_4,axiom,
% 0.74/0.86 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_replicate__eq__replicate_0,axiom,
% 0.74/0.86 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 0.74/0.86 | V_m = V_n ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 0.74/0.86 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 0.74/0.86 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_accp__downwards_0,axiom,
% 0.74/0.86 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 0.74/0.86 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_accp__downwards__aux_0,axiom,
% 0.74/0.86 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 0.74/0.86 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_rtranclp__trans_0,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_IT__implies__termi_0,axiom,
% 0.74/0.86 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 0.74/0.86 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_termi__implies__IT_0,axiom,
% 0.74/0.86 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 0.74/0.86 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_rotate1__is__Nil__conv_0,axiom,
% 0.74/0.86 ( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 0.74/0.86 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.74/0.86 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.74/0.86 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__lessD1_0,axiom,
% 0.74/0.86 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_trans__less__add1_0,axiom,
% 0.74/0.86 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_trans__less__add2_0,axiom,
% 0.74/0.86 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_nat__add__commute_0,axiom,
% 0.74/0.86 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) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_less__add__eq__less_0,axiom,
% 0.74/0.86 ( 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)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.74/0.86 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_of__nat__eq__iff_0,axiom,
% 0.74/0.86 ( ~ class_Nat_Osemiring__char__0(T_a)
% 0.74/0.86 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 0.74/0.86 | V_m = V_n ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__eq__self__zero_0,axiom,
% 0.74/0.86 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
% 0.74/0.86 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.74/0.86 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)
% 0.74/0.86 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__is__0_0,axiom,
% 0.74/0.86 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.74/0.86 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__is__0_1,axiom,
% 0.74/0.86 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.74/0.86 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_r__into__rtranclp_0,axiom,
% 0.74/0.86 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 0.74/0.86 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_not__Nil__step1_0,axiom,
% 0.74/0.86 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_not__step1__Nil_0,axiom,
% 0.74/0.87 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_conversep__eq_0,axiom,
% 0.74/0.87 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_Cons__step1__Cons_3,axiom,
% 0.74/0.87 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.74/0.87 | V_xs = V_ys
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_listsum_Osimps_I2_J_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.87 | c_List_Olistsum(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Olistsum(V_xs,T_a)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_append__replicate__commute_0,axiom,
% 0.74/0.87 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__less__mono_0,axiom,
% 0.74/0.87 ( 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_of__nat__less__iff_1,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_of__nat__less__iff_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_replicate__add_0,axiom,
% 0.74/0.87 c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_conversep__conversep_0,axiom,
% 0.74/0.87 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_not__add__less1_0,axiom,
% 0.74/0.87 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_not__add__less2_0,axiom,
% 0.74/0.87 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__less__mono1_0,axiom,
% 0.74/0.87 ( 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.74/0.87 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.74/0.87 ( 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_Cons__step1__Cons_1,axiom,
% 0.74/0.87 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.74/0.87 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_Cons__step1__Cons_5,axiom,
% 0.74/0.87 ( 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)
% 0.74/0.87 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_of__nat__add_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.74/0.87 | 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)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_listsum__append_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.87 | c_List_Olistsum(c_List_Oappend(V_xs,V_ys,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_List_Olistsum(V_xs,T_a)),c_List_Olistsum(V_ys,T_a)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 0.74/0.87 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 0.74/0.87 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_accp_Ocases_0,axiom,
% 0.74/0.87 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 0.74/0.87 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_accp__downward_0,axiom,
% 0.74/0.87 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 0.74/0.87 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_of__nat__0_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 0.74/0.87 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_listsum_Osimps_I1_J_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.87 | c_List_Olistsum(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_replicate__empty_1,axiom,
% 0.74/0.87 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_empty__replicate_1,axiom,
% 0.74/0.87 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_replicate__empty_0,axiom,
% 0.74/0.87 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.74/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_empty__replicate_0,axiom,
% 0.74/0.87 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 0.74/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_replicate__app__Cons__same_0,axiom,
% 0.74/0.87 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_rtrancl__beta__App_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_subst__preserves__beta2_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_subst__preserves__beta_H_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_subject__reduction_H_0,axiom,
% 0.74/0.87 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.74/0.87 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_lift__preserves__beta_H_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_rotate__simps_1,axiom,
% 0.74/0.87 c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 0.74/0.87 ( V_ys = V_xs
% 0.74/0.87 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_replicate__append__same_0,axiom,
% 0.74/0.87 c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_listsum__foldr_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.87 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_double__induction__lemma_0,axiom,
% 0.74/0.87 ( ~ 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)
% 0.74/0.87 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 0.74/0.87 | 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_apps__preserves__beta2_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_apps__preserves__betas_0,axiom,
% 0.74/0.87 ( 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)))
% 0.74/0.87 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_App__eq__foldl__conv_2,axiom,
% 0.74/0.87 ( 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)
% 0.74/0.87 | 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)
% 0.74/0.87 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_liftn_Osimps_I1_J_1,axiom,
% 0.74/0.87 ( 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))
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_of__nat__0__less__iff_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_of__nat__0__less__iff_1,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_App__eq__foldl__conv_3,axiom,
% 0.74/0.87 ( c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB)
% 0.74/0.87 | hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_x,tc_Lambda_OdB,tc_Lambda_OdB)),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_x,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_app__last_0,axiom,
% 0.74/0.87 hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u) = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Oappend(V_ts,c_List_Olist_OCons(V_u,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_App__eq__foldl__conv_5,axiom,
% 0.74/0.87 ( V_r != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),V_xa,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.74/0.87 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Oappend(V_xa,c_List_Olist_OCons(V_s,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_Var_I4_J_0,axiom,
% 0.74/0.87 c_Type_Otyping(v_ea______,v_ua______,v_T____) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_head__Var__reduction_0,axiom,
% 0.74/0.87 ( 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)
% 0.74/0.87 | ~ 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)) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_substn_Osimps_I1_J_2,axiom,
% 0.74/0.87 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.74/0.87 | V_i = V_k
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_liftn_Osimps_I1_J_0,axiom,
% 0.74/0.87 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 0.74/0.87 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_foldr__conv__foldl_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.74/0.87 | 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_subst__lt_0,axiom,
% 0.74/0.87 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_subst__Var_2,axiom,
% 0.74/0.87 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 0.74/0.87 | V_i = V_k
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_subst__Var_1,axiom,
% 0.74/0.87 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.74/0.87 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_App__eq__foldl__conv_4,axiom,
% 0.74/0.87 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) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_App__eq__foldl__conv_0,axiom,
% 0.74/0.87 ( 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)
% 0.74/0.87 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_foldl__absorb0_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.87 | 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_order__less__asym_H_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_order__less__asym_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_xt1_I9_J_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__less__cancel__left_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__less__cancel__left_1,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__strict__left__mono_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__less__cancel__right_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__less__cancel__right_1,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__strict__right__mono_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_pos__add__strict_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_shift__gt_0,axiom,
% 0.74/0.87 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_neq0__conv_1,axiom,
% 0.74/0.87 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_append__in__listsp__conv_2,axiom,
% 0.74/0.87 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 0.74/0.87 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 0.74/0.87 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_gr0I_0,axiom,
% 0.74/0.87 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.74/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__strict__mono_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_linorder__less__linear_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_linorder__neqE_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.87 | V_x = V_y ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.74/0.87 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.74/0.87 | V_x = V_y ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_nat__less__cases_0,axiom,
% 0.74/0.87 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.74/0.87 | V_m = V_n
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_nat__neq__iff_0,axiom,
% 0.74/0.87 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.74/0.87 | V_m = V_n ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.88 | V_x = V_y ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__pos__pos_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_order__less__irrefl_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_linorder__neq__iff_1,axiom,
% 0.74/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_order__less__le_1,axiom,
% 0.74/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_less__not__refl_0,axiom,
% 0.74/0.88 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_nat__less__le_1,axiom,
% 0.74/0.88 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_even__less__0__iff_1,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_even__less__0__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_double__eq__0__iff_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.88 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.88 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 0.74/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldl__assoc_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_listsp_ONil_0,axiom,
% 0.74/0.88 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__in__listsp__conv_1,axiom,
% 0.74/0.88 ( c_List_Olistsp(V_A,V_ys,T_a)
% 0.74/0.88 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__in__listsp__conv_0,axiom,
% 0.74/0.88 ( c_List_Olistsp(V_A,V_xs,T_a)
% 0.74/0.88 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_double__eq__0__iff_1,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_order__less__trans_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_xt1_I10_J_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__cancel__21_1,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_gr__implies__not0_0,axiom,
% 0.74/0.88 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_not__less0_0,axiom,
% 0.74/0.88 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__cancel__21_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__neg__neg_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.88 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | V_y = V_z ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__imp__eq_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | V_b = V_c ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__left__cancel_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | V_b = V_c ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__right__cancel_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | V_b = V_c ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.88 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.88 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__0__left_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 0.74/0.88 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.74/0.88 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 0.74/0.88 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.74/0.88 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Var__eq__apps__conv_1,axiom,
% 0.74/0.88 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.74/0.88 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Var__eq__apps__conv_2,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldl__foldr1_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Var_I2_J_0,axiom,
% 0.74/0.88 c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_head__Var__reduction_1,axiom,
% 0.74/0.88 ( 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)
% 0.74/0.88 | ~ 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_IT_OVar_0,axiom,
% 0.74/0.88 ( 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)))
% 0.74/0.88 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_substn_Osimps_I1_J_1,axiom,
% 0.74/0.88 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.74/0.88 | 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)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Cons_0,axiom,
% 0.74/0.88 v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osimps_I5_J_0,axiom,
% 0.74/0.88 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldl__append_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_abs_0,axiom,
% 0.74/0.88 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 0.74/0.88 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.74/0.88 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_app__Var__IT_0,axiom,
% 0.74/0.88 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_not__Cons__self_0,axiom,
% 0.74/0.88 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_not__Cons__self2_0,axiom,
% 0.74/0.88 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_lift__preserves__beta_0,axiom,
% 0.74/0.88 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 0.74/0.88 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Lambda_0,axiom,
% 0.74/0.88 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_var__app__types_1,axiom,
% 0.74/0.88 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 0.74/0.88 | ~ 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)
% 0.74/0.88 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osplit_0,axiom,
% 0.74/0.88 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osplit__asm_0,axiom,
% 0.74/0.88 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.74/0.88 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_neq__Nil__conv_1,axiom,
% 0.74/0.88 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__Cons_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 0.74/0.88 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.74/0.88 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldl__Cons_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type__induct_2,axiom,
% 0.74/0.88 ( hBOOL(hAPP(V_P,V_T))
% 0.74/0.88 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_list__app__typeE_1,axiom,
% 0.74/0.88 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 0.74/0.88 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_typing__elims_I3_J_1,axiom,
% 0.74/0.88 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_substn__subst__n_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 0.74/0.88 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__same__eq_0,axiom,
% 0.74/0.88 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.74/0.88 | V_ys = V_zs ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_same__append__eq_0,axiom,
% 0.74/0.88 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.74/0.88 | V_ys = V_zs ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__Nil2_0,axiom,
% 0.74/0.88 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.74/0.88 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_self__append__conv_1,axiom,
% 0.74/0.88 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__Nil_0,axiom,
% 0.74/0.88 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_self__append__conv2_1,axiom,
% 0.74/0.88 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osimps_I1_J_0,axiom,
% 0.74/0.88 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H)
% 0.74/0.88 | V_nat = V_nat_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Var__IT_0,axiom,
% 0.74/0.88 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 0.74/0.88 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Beta_0,axiom,
% 0.74/0.88 ( 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)))
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 0.74/0.88 | ~ 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))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldl__Nil_0,axiom,
% 0.74/0.88 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_shift__eq_0,axiom,
% 0.74/0.88 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_lift__IT_0,axiom,
% 0.74/0.88 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.74/0.88 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.74/0.88 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.74/0.88 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.74/0.88 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 0.74/0.88 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 0.74/0.88 | V_dB = V_dB_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.74/0.88 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.74/0.88 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.74/0.88 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.74/0.88 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 0.74/0.88 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Var__eq__apps__conv_0,axiom,
% 0.74/0.88 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 0.74/0.88 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Orecs_I1_J_0,axiom,
% 0.74/0.88 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_apps__preserves__beta_0,axiom,
% 0.74/0.88 ( 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)))
% 0.74/0.88 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_beta_0,axiom,
% 0.74/0.88 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)))) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 0.74/0.88 ( 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)
% 0.74/0.88 | V_rs = V_ss ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 0.74/0.88 ( 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)
% 0.74/0.88 | V_r = V_s ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 0.74/0.88 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 0.74/0.88 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.74/0.88 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_beta__cases_I1_J_0,axiom,
% 0.74/0.88 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 0.74/0.88 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)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_liftn__0_0,axiom,
% 0.74/0.88 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_list__app__typeD_1,axiom,
% 0.74/0.88 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_substn__subst__0_0,axiom,
% 0.74/0.88 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)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osplit_2,axiom,
% 0.74/0.88 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osplit__asm_2,axiom,
% 0.74/0.88 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_subst__Var__IT_0,axiom,
% 0.74/0.88 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__self__conv_0,axiom,
% 0.74/0.88 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.74/0.88 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_self__append__conv_0,axiom,
% 0.74/0.88 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.74/0.88 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__self__conv2_0,axiom,
% 0.74/0.88 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.74/0.88 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_self__append__conv2_0,axiom,
% 0.74/0.88 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.74/0.88 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_list_Oinject_0,axiom,
% 0.74/0.88 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.74/0.88 | V_a = V_a_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_list_Oinject_1,axiom,
% 0.74/0.88 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.74/0.88 | V_list = V_list_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 0.74/0.88 ( 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)
% 0.74/0.88 | V_rs = V_ss ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 0.74/0.88 ( 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)
% 0.74/0.88 | V_m = V_n ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osplit_0,axiom,
% 0.74/0.88 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osplit__asm_0,axiom,
% 0.74/0.88 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 0.74/0.88 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 0.74/0.88 | V_nat = V_nat_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_var__app__typesE_1,axiom,
% 0.74/0.88 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 0.74/0.88 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append1__eq__conv_0,axiom,
% 0.74/0.88 ( 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)
% 0.74/0.88 | V_xs = V_ys ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append1__eq__conv_1,axiom,
% 0.74/0.88 ( 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)
% 0.74/0.88 | V_x = V_y ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.74/0.88 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__assoc_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__eq__appendI_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_lift__type_0,axiom,
% 0.74/0.88 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 0.74/0.88 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osimps_I4_J_0,axiom,
% 0.74/0.88 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_uT_0,axiom,
% 0.74/0.88 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_subst__App_0,axiom,
% 0.74/0.88 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)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 0.74/0.88 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_typing__elims_I3_J_0,axiom,
% 0.74/0.88 ( V_T = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t)),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 0.74/0.88 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_subject__reduction_0,axiom,
% 0.74/0.88 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 0.74/0.88 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_subst__eq_0,axiom,
% 0.74/0.88 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osplit__asm_1,axiom,
% 0.74/0.88 ( ~ 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)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osplit_1,axiom,
% 0.74/0.88 ( ~ 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)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osimps_I2_J_0,axiom,
% 0.74/0.88 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.74/0.88 | V_type1 = V_type1_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osimps_I2_J_1,axiom,
% 0.74/0.88 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 0.74/0.88 | V_type2 = V_type2_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 0.74/0.88 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)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_var__app__types_0,axiom,
% 0.74/0.88 ( 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)
% 0.74/0.88 | ~ 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)
% 0.74/0.88 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type__induct_1,axiom,
% 0.74/0.88 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.74/0.88 | hBOOL(hAPP(V_P,V_T))
% 0.74/0.88 | hBOOL(hAPP(V_P,V_T2)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type__induct_0,axiom,
% 0.74/0.88 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x)
% 0.74/0.88 | hBOOL(hAPP(V_P,V_T))
% 0.74/0.88 | hBOOL(hAPP(V_P,V_T1a)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_App_0,axiom,
% 0.74/0.88 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 0.74/0.88 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 0.74/0.88 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 0.74/0.88 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.74/0.88 | V_dB1 = V_dB1_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 0.74/0.88 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 0.74/0.88 | V_dB2 = V_dB2_H ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_var__app__type__eq_0,axiom,
% 0.74/0.88 ( V_T = V_U
% 0.74/0.88 | ~ 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)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_uT_H_0,axiom,
% 0.74/0.88 c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_argT_0,axiom,
% 0.74/0.88 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 0.74/0.88 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_MI2_0,axiom,
% 0.74/0.88 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.74/0.88 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,V_u,V_T2)
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.74/0.88 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_MI1_0,axiom,
% 0.74/0.88 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 0.74/0.88 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,V_u,V_T1)
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 0.74/0.88 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)
% 0.74/0.88 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_Abs_0,axiom,
% 0.74/0.88 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))
% 0.74/0.88 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_True_0,axiom,
% 0.74/0.88 v_n____ = v_i____ ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_typing__elims_I1_J_0,axiom,
% 0.74/0.88 ( hAPP(V_e,V_i) = V_T
% 0.74/0.88 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldr__append_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 0.74/0.88 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)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_varT_0,axiom,
% 0.74/0.88 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_headT_0,axiom,
% 0.74/0.88 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_argsT_0,axiom,
% 0.74/0.88 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_list__app__typeE_0,axiom,
% 0.74/0.88 ( 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))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_subst__preserves__beta_0,axiom,
% 0.74/0.88 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 0.74/0.88 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_var__app__typesE_0,axiom,
% 0.74/0.88 ( 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))
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_nT_0,axiom,
% 0.74/0.88 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_list__app__typeI_0,axiom,
% 0.74/0.88 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 0.74/0.88 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 0.74/0.88 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 0.74/0.88 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) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_typing__elims_I2_J_1,axiom,
% 0.74/0.88 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 0.74/0.88 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 0.74/0.88 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_T_0,axiom,
% 0.74/0.88 v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Orecs_I2_J_0,axiom,
% 0.74/0.88 c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osimps_I6_J_0,axiom,
% 0.74/0.88 c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_typing_OVar_0,axiom,
% 0.74/0.88 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osplit__asm_1,axiom,
% 0.74/0.88 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_xa),V_xb),t_a)))
% 0.74/0.88 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_type_Osplit_1,axiom,
% 0.74/0.88 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),t_a)))
% 0.74/0.89 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 0.74/0.89 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)) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_type_Osimps_I3_J_0,axiom,
% 0.74/0.89 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_apps__eq__tail__conv_0,axiom,
% 0.74/0.89 ( 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)
% 0.74/0.89 | V_r = V_s ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_appR_0,axiom,
% 0.74/0.89 ( 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)))
% 0.74/0.89 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_appL_0,axiom,
% 0.74/0.89 ( 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)))
% 0.74/0.89 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_uIT_0,axiom,
% 0.74/0.89 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_liftn_Osimps_I2_J_0,axiom,
% 0.74/0.89 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)) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_subst__lift_0,axiom,
% 0.74/0.89 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_list__app__typeD_0,axiom,
% 0.74/0.89 ( 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))
% 0.74/0.89 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_subst__lemma_0,axiom,
% 0.74/0.89 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 0.74/0.89 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 0.74/0.89 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_substn_Osimps_I2_J_0,axiom,
% 0.74/0.89 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)) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_typing__elims_I2_J_0,axiom,
% 0.74/0.89 ( 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))
% 0.74/0.89 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 0.74/0.89 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_CHAINED_0,axiom,
% 0.74/0.89 c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_CHAINED_0_01,axiom,
% 0.74/0.89 c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_conjecture_0,negated_conjecture,
% 0.74/0.89 ~ c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.74/0.89 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.74/0.89 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.74/0.89 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.74/0.89 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.74/0.89 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.74/0.89 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.74/0.89 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.74/0.89 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.74/0.89 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.74/0.89 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.74/0.89 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.74/0.89 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.74/0.89 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 0.74/0.89 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 0.74/0.89 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 0.74/0.89 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.74/0.89 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 0.74/0.89 class_Nat_Osemiring__char__0(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.74/0.89 class_Orderings_Opreorder(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.74/0.89 class_Orderings_Olinorder(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.74/0.89 class_Orderings_Oorder(tc_nat) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.74/0.89 class_Orderings_Opreorder(tc_bool) ).
% 0.74/0.89
% 0.74/0.89 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.74/0.89 class_Orderings_Oorder(tc_bool) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.74/0.89 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.74/0.89 ( V_X = V_Y
% 0.74/0.89 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.74/0.89
% 0.74/0.89 %------------------------------------------------------------------------------
% 0.74/0.89 %-------------------------------------------
% 0.74/0.89 % Proof found
% 0.74/0.89 % SZS status Theorem for theBenchmark
% 0.74/0.89 % SZS output start Proof
% 0.74/0.89 %ClaNum:556(EqnAxiom:159)
% 0.74/0.89 %VarNum:2267(SingletonVarNum:1001)
% 0.74/0.89 %MaxLitNum:6
% 0.74/0.89 %MaxfuncDepth:5
% 0.74/0.89 %SharedTerms:84
% 0.74/0.89 %goalClause: 297
% 0.74/0.89 %singleGoalClaCount:1
% 0.74/0.89 [160]E(a1,a60)
% 0.74/0.89 [161]P1(a2)
% 0.74/0.89 [162]P27(a2)
% 0.74/0.89 [163]P28(a2)
% 0.74/0.89 [164]P2(a2)
% 0.74/0.89 [165]P3(a2)
% 0.74/0.89 [166]P11(a2)
% 0.74/0.89 [167]P17(a2)
% 0.74/0.89 [168]P17(a3)
% 0.74/0.89 [169]P18(a2)
% 0.74/0.89 [170]P23(a2)
% 0.74/0.89 [171]P23(a3)
% 0.74/0.89 [172]P19(a2)
% 0.74/0.89 [173]P20(a2)
% 0.74/0.89 [174]P21(a2)
% 0.74/0.89 [175]P22(a2)
% 0.74/0.89 [176]P24(a2)
% 0.74/0.89 [177]P13(a2)
% 0.74/0.89 [178]P14(a2)
% 0.74/0.89 [179]P15(a2)
% 0.74/0.89 [185]P4(a58,a62,a52)
% 0.74/0.89 [186]P4(a59,a63,a52)
% 0.74/0.89 [181]P29(f27(a5,a62))
% 0.74/0.89 [182]P29(f27(a5,a63))
% 0.74/0.89 [184]E(f13(a51,a57,a47),a64)
% 0.74/0.89 [210]P4(a59,f19(a51,a63,a1),a53)
% 0.74/0.89 [240]P8(f33(a59,a1,a52,a49),a57,a56)
% 0.74/0.89 [241]P4(f33(a59,a1,a52,a49),a51,a53)
% 0.74/0.89 [258]E(f27(f27(a45,a53),f23(a45,a56,a54,a49,a49)),a52)
% 0.74/0.89 [260]P4(f33(a58,a61,a52,a49),f22(a10,f9(a60),a64,a47,a47),a55)
% 0.74/0.89 [261]P4(f33(a59,a1,a52,a49),f22(a10,f9(a60),a64,a47,a47),a54)
% 0.74/0.89 [266]P4(a59,a63,f27(f27(a45,a53),f23(a45,a56,a54,a49,a49)))
% 0.74/0.89 [269]P4(f33(a59,a1,a52,a49),f9(a60),f27(f27(a45,a53),f23(a45,a56,a54,a49,a49)))
% 0.74/0.89 [297]~P4(a59,f27(f27(a10,a63),f19(a51,a63,a1)),f23(a45,a56,a54,a49,a49))
% 0.74/0.89 [262]P4(f33(a59,a1,a52,a49),f27(f27(a10,f9(a60)),a51),f23(a45,a56,a54,a49,a49))
% 0.74/0.89 [281]~P6(x2811,x2811,a2)
% 0.74/0.89 [285]~P6(x2851,f8(a2),a2)
% 0.74/0.89 [180]E(f24(f4(x1801),x1801),f4(x1801))
% 0.74/0.89 [183]P29(f27(a5,f9(x1831)))
% 0.74/0.89 [188]E(f27(f27(f6(a2),x1881),f8(a2)),x1881)
% 0.74/0.89 [202]E(f29(f31(x2021),x2021,x2021),f31(x2021))
% 0.74/0.89 [189]E(f27(f27(f6(a2),f8(a2)),x1891),x1891)
% 0.74/0.89 [193]P5(x1931,f4(x1932),x1932)
% 0.74/0.89 [206]P4(x2061,f9(x2062),f27(x2061,x2062))
% 0.74/0.89 [273]~E(f9(x2731),f11(x2732))
% 0.74/0.89 [190]E(f28(f28(x1901,x1902),x1902),f28(x1901,x1902))
% 0.74/0.89 [192]E(f14(f8(a2),x1921,x1922),x1921)
% 0.74/0.89 [197]E(f18(x1971,f4(x1972),x1972),x1971)
% 0.74/0.89 [198]E(f19(f9(x1981),x1982,x1981),x1982)
% 0.74/0.89 [199]E(f18(f4(x1991),x1992,x1991),x1992)
% 0.74/0.89 [201]E(f25(f8(a2),x2011,x2012),f4(x2012))
% 0.74/0.89 [217]E(f19(x2171,f14(f8(a2),x2172,f8(a2)),f8(a2)),f19(x2171,x2172,f8(a2)))
% 0.74/0.89 [207]E(f27(f27(f6(a2),x2071),x2072),f27(f27(f6(a2),x2072),x2071))
% 0.74/0.89 [208]P29(f27(f27(f31(x2081),x2082),x2082))
% 0.74/0.89 [244]P29(f27(f27(a12,f27(f27(a10,f11(x2441)),x2442)),f19(x2441,x2442,f8(a2))))
% 0.74/0.89 [290]~P29(f27(f27(a12,f9(x2901)),x2902))
% 0.74/0.89 [291]~P6(f27(f27(f6(a2),x2911),x2912),x2912,a2)
% 0.74/0.89 [292]~P6(f27(f27(f6(a2),x2921),x2922),x2921,a2)
% 0.74/0.89 [218]E(f11(f15(x2181,f27(f27(f6(a2),x2182),f7(a2)))),f15(f11(x2181),x2182))
% 0.74/0.89 [283]~E(f13(x2831,x2832,x2833),x2832)
% 0.74/0.89 [288]~E(f13(x2881,x2882,x2883),f4(x2883))
% 0.74/0.89 [293]~P7(x2931,x2932,f4(x2933),x2933)
% 0.74/0.89 [294]~P7(x2941,f4(x2942),x2943,x2942)
% 0.74/0.89 [205]E(f19(f15(x2051,x2052),x2053,x2052),x2051)
% 0.74/0.89 [209]E(f25(f8(a2),x2091,x2092),f25(f8(a2),x2093,x2092))
% 0.74/0.89 [211]E(f29(f29(x2111,x2112,x2113),x2113,x2112),x2111)
% 0.74/0.89 [274]~E(f11(x2741),f27(f27(a10,x2742),x2743))
% 0.74/0.89 [275]~E(f9(x2751),f27(f27(a10,x2752),x2753))
% 0.74/0.89 [276]~E(f32(x2761),f27(f27(a45,x2762),x2763))
% 0.74/0.89 [277]~E(f27(f27(a10,x2771),x2772),f11(x2773))
% 0.74/0.89 [278]~E(f27(f27(a10,x2781),x2782),f9(x2783))
% 0.74/0.89 [279]~E(f27(f27(a45,x2791),x2792),f32(x2793))
% 0.74/0.89 [213]P29(f27(f27(f28(x2131,x2132),x2133),x2133))
% 0.74/0.89 [214]E(f27(f27(a10,f15(x2141,x2142)),f15(x2143,x2142)),f15(f27(f27(a10,x2141),x2143),x2142))
% 0.74/0.89 [222]E(f18(x2221,f13(x2222,f4(x2223),x2223),x2223),f24(f13(x2222,x2221,x2223),x2223))
% 0.74/0.89 [236]E(f18(f25(x2361,x2362,x2363),f13(x2362,f4(x2363),x2363),x2363),f13(x2362,f25(x2361,x2362,x2363),x2363))
% 0.74/0.89 [221]E(f27(f27(f6(a2),x2211),f27(f27(f6(a2),x2212),x2213)),f27(f27(f6(a2),x2212),f27(f27(f6(a2),x2211),x2213)))
% 0.74/0.89 [233]E(f11(f14(x2331,x2332,f27(f27(f6(a2),x2333),f7(a2)))),f14(x2331,f11(x2332),x2333))
% 0.74/0.89 [235]E(f11(f19(x2351,f15(x2352,f8(a2)),f27(f27(f6(a2),x2353),f7(a2)))),f19(f11(x2351),x2352,x2353))
% 0.74/0.89 [245]E(f11(f19(x2451,f14(f27(f27(f6(a2),x2452),f7(a2)),x2453,f8(a2)),f27(f27(f6(a2),x2452),f7(a2)))),f19(f11(x2451),f14(x2452,x2453,f8(a2)),x2452))
% 0.74/0.89 [270]E(f22(a10,x2701,f18(x2702,f13(x2703,f4(a47),a47),a47),a47,a47),f27(f27(a10,f22(a10,x2701,x2702,a47,a47)),x2703))
% 0.74/0.89 [232]E(f27(f27(f6(a2),f27(f27(f6(a2),x2321),x2322)),x2323),f27(f27(f6(a2),x2321),f27(f27(f6(a2),x2322),x2323)))
% 0.74/0.89 [219]E(f44(x2191,x2192,f32(x2193),x2194),f27(x2191,x2193))
% 0.74/0.89 [220]E(f46(x2201,x2202,f32(x2203),x2204),f27(x2201,x2203))
% 0.74/0.89 [228]E(f13(x2281,f18(x2282,x2283,x2284),x2284),f18(f13(x2281,x2282,x2284),x2283,x2284))
% 0.74/0.89 [230]E(f18(f18(x2301,x2302,x2303),x2304,x2303),f18(x2301,f18(x2302,x2304,x2303),x2303))
% 0.74/0.89 [239]E(f27(f33(x2391,x2392,x2393,x2394),x2392),x2393)
% 0.74/0.89 [242]E(f18(f25(x2421,x2422,x2423),f25(x2424,x2422,x2423),x2423),f18(f25(x2424,x2422,x2423),f25(x2421,x2422,x2423),x2423))
% 0.74/0.89 [246]E(f22(x2461,x2462,f4(x2463),x2464,x2463),x2462)
% 0.74/0.89 [247]E(f23(x2471,f4(x2472),x2473,x2472,x2474),x2473)
% 0.74/0.89 [296]~E(f22(a10,f9(x2961),x2962,a47,a47),f22(a10,f11(x2963),x2964,a47,a47))
% 0.74/0.89 [237]E(f27(f27(a10,f14(x2371,x2372,x2373)),f14(x2371,x2374,x2373)),f14(x2371,f27(f27(a10,x2372),x2374),x2373))
% 0.74/0.89 [238]E(f27(f27(a10,f19(x2381,x2382,x2383)),f19(x2384,x2382,x2383)),f19(f27(f27(a10,x2381),x2384),x2382,x2383))
% 0.74/0.89 [243]E(f13(x2431,f18(f25(x2432,x2431,x2433),x2434,x2433),x2433),f18(f25(x2432,x2431,x2433),f13(x2431,x2434,x2433),x2433))
% 0.74/0.89 [295]~E(f27(f27(a10,f11(x2951)),x2952),f22(a10,f9(x2953),x2954,a47,a47))
% 0.74/0.89 [234]E(f18(f25(x2341,x2342,x2343),f25(x2344,x2342,x2343),x2343),f25(f27(f27(f6(a2),x2341),x2344),x2342,x2343))
% 0.74/0.89 [251]E(f16(x2511,x2512,x2513,f11(x2514),x2515),f27(x2513,x2514))
% 0.74/0.89 [252]E(f16(x2521,x2522,x2523,f9(x2524),x2525),f27(x2521,x2524))
% 0.74/0.89 [253]E(f17(x2531,x2532,x2533,f9(x2534),x2535),f27(x2531,x2534))
% 0.74/0.89 [263]E(f27(f27(x2631,x2632),f17(x2633,x2634,x2631,x2632,x2635)),f17(x2633,x2634,x2631,f11(x2632),x2635))
% 0.74/0.89 [231]E(f44(x2311,x2312,f27(f27(a45,x2313),x2314),x2315),f27(f27(x2312,x2313),x2314))
% 0.74/0.89 [257]E(f27(f27(f27(f27(x2571,x2572),x2573),f46(x2574,x2571,x2572,x2575)),f46(x2574,x2571,x2573,x2575)),f46(x2574,x2571,f27(f27(a45,x2572),x2573),x2575))
% 0.74/0.89 [264]E(f23(x2641,f13(x2642,x2643,x2644),x2645,x2644,x2646),f27(f27(x2641,x2642),f23(x2641,x2643,x2645,x2644,x2646)))
% 0.74/0.89 [267]E(f22(x2671,f22(x2671,x2672,x2673,x2674,x2675),x2676,x2674,x2675),f22(x2671,x2672,f18(x2673,x2676,x2675),x2674,x2675))
% 0.74/0.89 [268]E(f23(x2681,x2682,f23(x2681,x2683,x2684,x2685,x2686),x2685,x2686),f23(x2681,f18(x2682,x2683,x2685),x2684,x2685,x2686))
% 0.74/0.89 [256]E(f16(x2561,x2562,x2563,f27(f27(a10,x2564),x2565),x2566),f27(f27(x2562,x2564),x2565))
% 0.74/0.89 [259]E(f22(x2591,x2592,f13(x2593,x2594,x2595),x2596,x2595),f22(x2591,f27(f27(x2591,x2592),x2593),x2594,x2596,x2595))
% 0.74/0.89 [271]E(f27(f27(f27(f27(x2711,x2712),x2713),f17(x2714,x2711,x2715,x2712,x2716)),f17(x2714,x2711,x2715,x2713,x2716)),f17(x2714,x2711,x2715,f27(f27(a10,x2712),x2713),x2716))
% 0.74/0.89 [302]~P27(x3021)+~E(f7(x3021),f8(x3021))
% 0.74/0.89 [310]E(x3101,f8(a2))+P6(f8(a2),x3101,a2)
% 0.74/0.89 [319]~P1(x3191)+P6(f8(x3191),f7(x3191),x3191)
% 0.74/0.89 [349]~P1(x3491)+~P6(f7(x3491),f8(x3491),x3491)
% 0.74/0.89 [389]P10(f29(a12,a47,a47),x3891,a47)+~P29(f27(a5,x3891))
% 0.74/0.89 [410]~P10(f29(a12,a47,a47),x4101,a47)+P29(f27(a5,x4101))
% 0.74/0.89 [303]~P28(x3031)+E(f30(f7(a2),x3031),f7(x3031))
% 0.74/0.89 [304]~P28(x3041)+E(f30(f8(a2),x3041),f8(x3041))
% 0.74/0.89 [305]~P2(x3051)+E(f26(f4(x3051),x3051),f8(x3051))
% 0.74/0.89 [324]~P16(x3241)+E(f27(f27(f6(x3241),f8(x3241)),f8(x3241)),f8(x3241))
% 0.74/0.89 [325]~P29(f27(a5,x3251))+P29(f27(a5,f11(x3251)))
% 0.74/0.89 [393]~P1(x3931)+P6(f8(x3931),f27(f27(f6(x3931),f7(x3931)),f7(x3931)),x3931)
% 0.74/0.89 [330]~P6(x3302,x3302,x3301)+~P17(x3301)
% 0.74/0.89 [331]~P6(x3312,x3312,x3311)+~P18(x3311)
% 0.74/0.89 [332]~P6(x3322,x3322,x3321)+~P23(x3321)
% 0.74/0.89 [298]E(x2981,x2982)+~E(f11(x2981),f11(x2982))
% 0.74/0.89 [299]E(x2991,x2992)+~E(f9(x2991),f9(x2992))
% 0.74/0.89 [300]E(x3001,x3002)+~E(f32(x3001),f32(x3002))
% 0.74/0.89 [306]~E(f24(x3061,x3062),f4(x3062))+E(x3061,f4(x3062))
% 0.74/0.89 [307]~P17(x3072)+P17(f50(x3071,x3072))
% 0.74/0.89 [308]~P23(x3082)+P23(f50(x3081,x3082))
% 0.74/0.89 [364]~P1(x3641)+~P6(f30(x3642,x3641),f8(x3641),x3641)
% 0.74/0.89 [311]~P2(x3111)+E(f27(f27(f6(x3111),x3112),f8(x3111)),x3112)
% 0.74/0.89 [312]~P24(x3121)+E(f27(f27(f6(x3121),x3122),f8(x3121)),x3122)
% 0.74/0.89 [313]~P13(x3131)+E(f27(f27(f6(x3131),x3132),f8(x3131)),x3132)
% 0.74/0.89 [339]P29(f27(x3391,x3392))+~P29(f27(x3391,f34(x3391)))
% 0.74/0.89 [342]~P6(x3421,x3422,a2)+E(f15(f9(x3421),x3422),f9(x3421))
% 0.74/0.89 [361]~P29(f27(a5,x3611))+P29(f27(a5,f15(x3611,x3612)))
% 0.74/0.89 [380]~P1(x3802)+P6(x3801,f27(f27(f6(x3802),x3801),f7(x3802)),x3802)
% 0.74/0.89 [400]~P29(f27(f27(a12,x4001),x4002))+P29(f27(f27(a12,f11(x4001)),f11(x4002)))
% 0.74/0.89 [497]~P2(x4971)+E(f23(f6(x4971),x4972,f8(x4971),x4971,x4971),f26(x4972,x4971))
% 0.74/0.89 [498]~P2(x4981)+E(f22(f6(x4981),f8(x4981),x4982,x4981,x4981),f26(x4982,x4981))
% 0.74/0.89 [520]~P2(x5201)+E(f23(f6(x5201),x5202,f8(x5201),x5201,x5201),f22(f6(x5201),f8(x5201),x5202,x5201,x5201))
% 0.74/0.89 [314]~P2(x3141)+E(f27(f27(f6(x3141),f8(x3141)),x3142),x3142)
% 0.74/0.89 [316]~P24(x3161)+E(f27(f27(f6(x3161),f8(x3161)),x3162),x3162)
% 0.74/0.89 [317]~P13(x3171)+E(f27(f27(f6(x3171),f8(x3171)),x3172),x3172)
% 0.74/0.89 [321]E(x3211,f8(a2))+~E(f27(f27(f6(a2),x3212),x3211),x3212)
% 0.74/0.89 [322]E(x3221,f8(a2))+~E(f27(f27(f6(a2),x3222),x3221),f8(a2))
% 0.74/0.89 [323]E(x3231,f8(a2))+~E(f27(f27(f6(a2),x3231),x3232),f8(a2))
% 0.74/0.89 [379]P6(x3791,x3792,a2)+E(f15(f9(x3791),x3792),f9(f27(f27(f6(a2),x3791),f7(a2))))
% 0.74/0.89 [406]~P29(f27(a5,x4061))+P29(f27(a5,f27(f27(a10,x4061),f9(x4062))))
% 0.74/0.89 [454]P29(f27(f27(f28(a12,a47),f11(x4541)),f11(x4542)))+~P29(f27(f27(f28(a12,a47),x4541),x4542))
% 0.74/0.89 [535]~P5(a5,x5352,a47)+P29(f27(a5,f22(a10,f9(x5351),x5352,a47,a47)))
% 0.74/0.89 [328]~E(f18(x3283,x3281,x3282),x3283)+E(x3281,f4(x3282))
% 0.74/0.89 [329]~E(f18(x3291,x3293,x3292),x3293)+E(x3291,f4(x3292))
% 0.74/0.89 [334]~E(f25(x3341,x3342,x3343),f4(x3343))+E(x3341,f8(a2))
% 0.74/0.89 [337]~E(f18(x3373,x3371,x3372),f4(x3372))+E(x3371,f4(x3372))
% 0.74/0.89 [338]~E(f18(x3381,x3383,x3382),f4(x3382))+E(x3381,f4(x3382))
% 0.74/0.89 [345]~P4(x3451,f9(x3452),x3453)+E(f27(x3451,x3452),x3453)
% 0.74/0.89 [509]~E(f11(x5092),f22(a10,x5093,x5091,a47,a47))+E(x5091,f4(a47))
% 0.74/0.89 [510]~E(f9(x5102),f22(a10,x5103,x5101,a47,a47))+E(x5101,f4(a47))
% 0.74/0.89 [511]~E(f22(a10,x5112,x5111,a47,a47),f11(x5113))+E(x5111,f4(a47))
% 0.74/0.89 [512]E(x5121,f11(x5122))+~E(f22(a10,x5121,x5123,a47,a47),f11(x5122))
% 0.74/0.89 [513]E(f11(x5131),x5132)+~E(f11(x5131),f22(a10,x5132,x5133,a47,a47))
% 0.74/0.89 [514]E(f9(x5141),x5142)+~E(f9(x5141),f22(a10,x5142,x5143,a47,a47))
% 0.74/0.89 [526]E(x5261,x5262)+~E(f22(a10,x5261,x5263,a47,a47),f22(a10,x5262,x5263,a47,a47))
% 0.74/0.89 [368]~P6(x3682,x3683,a2)+E(f14(x3681,f9(x3682),x3683),f9(x3682))
% 0.74/0.89 [369]~P6(x3691,x3693,a2)+E(f19(f9(x3691),x3692,x3693),f9(x3691))
% 0.74/0.89 [392]~P2(x3921)+E(f27(f27(f6(x3921),x3922),f26(x3923,x3921)),f26(f13(x3922,x3923,x3921),x3921))
% 0.74/0.89 [408]~P2(x4081)+E(f27(f27(f6(x4081),f26(x4082,x4081)),f26(x4083,x4081)),f26(f18(x4082,x4083,x4081),x4081))
% 0.74/0.89 [434]~P29(f27(f27(a12,x4341),x4343))+P29(f27(f27(a12,f15(x4341,x4342)),f15(x4343,x4342)))
% 0.74/0.89 [455]~P4(x4552,f11(x4553),x4551)+E(f27(f27(a45,f37(x4551,x4552,x4553)),f41(x4551,x4552,x4553)),x4551)
% 0.74/0.89 [487]~P4(x4871,f11(x4873),x4872)+P4(f33(x4871,f8(a2),f37(x4872,x4871,x4873),a49),x4873,f41(x4872,x4871,x4873))
% 0.74/0.89 [515]E(f27(f27(a10,x5151),x5152),x5153)+~E(f27(f27(a10,x5151),x5152),f22(a10,x5153,f4(a47),a47,a47))
% 0.74/0.89 [519]~P11(x5191)+E(f23(f6(x5191),x5192,x5193,x5191,x5191),f22(f6(x5191),x5193,x5192,x5191,x5191))
% 0.74/0.89 [550]~P29(f27(f27(a12,x5501),x5503))+P29(f27(f27(a12,f22(a10,x5501,x5502,a47,a47)),f22(a10,x5503,x5502,a47,a47)))
% 0.74/0.89 [552]~P7(a12,x5522,x5523,a47)+P29(f27(f27(a12,f22(a10,x5521,x5522,a47,a47)),f22(a10,x5521,x5523,a47,a47)))
% 0.74/0.89 [347]~P24(x3471)+E(f27(f27(f6(x3471),x3472),x3473),f27(f27(f6(x3471),x3473),x3472))
% 0.74/0.89 [348]~P13(x3481)+E(f27(f27(f6(x3481),x3482),x3483),f27(f27(f6(x3481),x3483),x3482))
% 0.74/0.89 [366]E(x3661,x3662)+~E(f27(f27(f6(a2),x3663),x3661),f27(f27(f6(a2),x3663),x3662))
% 0.74/0.89 [367]E(x3671,x3672)+~E(f27(f27(f6(a2),x3671),x3673),f27(f27(f6(a2),x3672),x3673))
% 0.74/0.89 [370]E(x3701,x3702)+~P29(f27(f27(f31(x3703),x3701),x3702))
% 0.74/0.89 [396]~P6(x3961,x3963,a2)+P6(x3961,f27(f27(f6(a2),x3962),x3963),a2)
% 0.74/0.89 [398]~P6(x3981,x3982,a2)+P6(x3981,f27(f27(f6(a2),x3982),x3983),a2)
% 0.74/0.89 [416]P6(x4161,x4162,a2)+~P6(f27(f27(f6(a2),x4161),x4163),x4162,a2)
% 0.74/0.89 [419]~P29(f27(a5,x4191))+P29(f27(a5,f19(x4191,f9(x4192),x4193)))
% 0.74/0.89 [426]~P6(x4261,x4263,a2)+P6(f27(f27(f6(a2),x4261),x4262),f27(f27(f6(a2),x4263),x4262),a2)
% 0.74/0.89 [427]~P6(x4272,x4273,a2)+P6(f27(f27(f6(a2),x4271),x4272),f27(f27(f6(a2),x4271),x4273),a2)
% 0.74/0.89 [450]P6(x4501,x4502,a2)+~P6(f27(f27(f6(a2),x4503),x4501),f27(f27(f6(a2),x4503),x4502),a2)
% 0.74/0.89 [462]P29(f27(f27(f28(a12,a47),f15(x4621,x4622)),f15(x4623,x4622)))+~P29(f27(f27(f28(a12,a47),x4621),x4623))
% 0.74/0.89 [467]~P29(f27(f27(a12,x4671),x4673))+P29(f27(f27(a12,f27(f27(a10,x4671),x4672)),f27(f27(a10,x4673),x4672)))
% 0.74/0.89 [468]~P29(f27(f27(a12,x4682),x4683))+P29(f27(f27(a12,f27(f27(a10,x4681),x4682)),f27(f27(a10,x4681),x4683)))
% 0.74/0.89 [479]~P29(f27(f27(f28(a12,a47),x4791),x4793))+P29(f27(f27(f28(a12,a47),f27(f27(a10,x4791),x4792)),f27(f27(a10,x4793),x4792)))
% 0.74/0.89 [480]~P29(f27(f27(f28(a12,a47),x4802),x4803))+P29(f27(f27(f28(a12,a47),f27(f27(a10,x4801),x4802)),f27(f27(a10,x4801),x4803)))
% 0.74/0.89 [524]~P2(x5241)+E(f27(f27(f6(x5241),x5242),f23(f6(x5241),x5243,f8(x5241),x5241,x5241)),f22(f6(x5241),x5242,x5243,x5241,x5241))
% 0.74/0.89 [525]~P2(x5251)+E(f27(f27(f6(x5251),x5252),f22(f6(x5251),f8(x5251),x5253,x5251,x5251)),f22(f6(x5251),x5252,x5253,x5251,x5251))
% 0.74/0.89 [551]P29(f27(f27(f28(a12,a47),f22(a10,x5511,x5512,a47,a47)),f22(a10,x5513,x5512,a47,a47)))+~P29(f27(f27(f28(a12,a47),x5511),x5513))
% 0.74/0.89 [394]P6(x3942,x3943,a2)+E(f14(x3941,f9(x3942),x3943),f9(f27(f27(f6(a2),x3942),x3941)))
% 0.74/0.89 [407]~P28(x4071)+E(f27(f27(f6(x4071),f30(x4072,x4071)),f30(x4073,x4071)),f30(f27(f27(f6(a2),x4072),x4073),x4071))
% 0.74/0.89 [522]~E(f22(a10,f27(f27(a10,x5221),x5222),x5223,a47,a47),x5221)+E(f22(a10,f27(f27(a10,x5221),x5222),f18(x5223,f13(x5222,f4(a47),a47),a47),a47,a47),f27(f27(a10,x5221),x5222))
% 0.74/0.89 [553]P7(a12,x5531,f21(x5532,x5531,x5533),a47)+~P29(f27(f27(a12,f22(a10,f9(x5532),x5531,a47,a47)),x5533))
% 0.74/0.89 [555]E(f22(a10,f9(x5551),f21(x5551,x5552,x5553),a47,a47),x5553)+~P29(f27(f27(a12,f22(a10,f9(x5551),x5552,a47,a47)),x5553))
% 0.74/0.89 [372]E(x3721,x3722)+~E(f18(x3723,x3721,x3724),f18(x3723,x3722,x3724))
% 0.74/0.89 [374]E(x3741,x3742)+~E(f18(x3741,x3743,x3744),f18(x3742,x3743,x3744))
% 0.74/0.89 [420]P5(x4201,x4202,x4203)+~P5(x4201,f18(x4204,x4202,x4203),x4203)
% 0.74/0.89 [421]P5(x4211,x4212,x4213)+~P5(x4211,f18(x4212,x4214,x4213),x4213)
% 0.74/0.89 [532]P8(x5321,x5322,f35(x5323,x5321,x5324,x5322))+~P4(x5321,f22(a10,x5324,x5322,a47,a47),x5323)
% 0.74/0.89 [533]P8(x5331,x5332,f36(x5333,x5331,x5334,x5332))+~P4(x5331,f22(a10,x5334,x5332,a47,a47),x5333)
% 0.74/0.89 [351]E(x3511,x3512)+~E(f27(f27(a10,x3513),x3511),f27(f27(a10,x3514),x3512))
% 0.74/0.89 [352]E(x3521,x3522)+~E(f27(f27(a45,x3523),x3521),f27(f27(a45,x3524),x3522))
% 0.74/0.89 [353]E(x3531,x3532)+~E(f27(f27(a10,x3531),x3533),f27(f27(a10,x3532),x3534))
% 0.74/0.89 [354]E(x3541,x3542)+~E(f27(f27(a45,x3541),x3543),f27(f27(a45,x3542),x3544))
% 0.74/0.89 [471]E(f19(f15(x4711,f27(f27(f6(a2),x4712),f7(a2))),f15(x4713,x4712),x4714),f15(f19(x4711,x4713,x4714),x4712))+~P6(x4714,f27(f27(f6(a2),x4712),f7(a2)),a2)
% 0.74/0.89 [475]P4(x4751,x4752,f38(x4753,x4751,x4754,x4752))+~P4(x4751,f27(f27(a10,x4754),x4752),x4753)
% 0.74/0.89 [478]~P29(f27(f27(a12,x4781),x4784))+P29(f27(f27(a12,f19(x4781,x4782,x4783)),f19(x4784,x4782,x4783)))
% 0.74/0.89 [486]P29(f27(f27(f28(a12,a47),f19(x4861,x4862,x4863)),f19(x4861,x4864,x4863)))+~P29(f27(f27(a12,x4862),x4864))
% 0.74/0.89 [489]P4(x4891,f11(x4892),f27(f27(a45,x4893),x4894))+~P4(f33(x4891,f8(a2),x4893,a49),x4892,x4894)
% 0.74/0.89 [528]E(x5281,x5282)+~E(f22(a10,f11(x5283),x5281,a47,a47),f22(a10,f11(x5284),x5282,a47,a47))
% 0.74/0.89 [529]E(x5291,x5292)+~E(f22(a10,f9(x5293),x5291,a47,a47),f22(a10,f9(x5294),x5292,a47,a47))
% 0.74/0.89 [530]E(x5301,x5302)+~E(f22(a10,f11(x5301),x5303,a47,a47),f22(a10,f11(x5302),x5304,a47,a47))
% 0.74/0.89 [531]E(x5311,x5312)+~E(f22(a10,f9(x5311),x5313,a47,a47),f22(a10,f9(x5312),x5314,a47,a47))
% 0.74/0.89 [534]P8(x5341,x5342,f42(x5343,x5341,x5344,x5342))+~P4(x5341,f22(a10,f9(x5344),x5342,a47,a47),x5343)
% 0.74/0.89 [538]~P4(x5381,f22(a10,x5382,x5384,a47,a47),x5383)+P4(x5381,x5382,f23(a45,f35(x5383,x5381,x5382,x5384),x5383,a49,a49))
% 0.74/0.89 [539]~P4(x5391,f22(a10,x5392,x5394,a47,a47),x5393)+P4(x5391,x5392,f23(a45,f36(x5393,x5391,x5392,x5394),x5393,a49,a49))
% 0.74/0.89 [540]~P4(x5401,f22(a10,f9(x5402),x5404,a47,a47),x5403)+P4(x5401,f9(x5402),f23(a45,f42(x5403,x5401,x5402,x5404),x5403,a49,a49))
% 0.74/0.89 [422]~P29(f27(f27(x4221,x4223),x4224))+P29(f27(f27(f28(x4221,x4222),x4223),x4224))
% 0.74/0.89 [461]~P6(x4612,f27(f27(f6(a2),x4614),f7(a2)),a2)+E(f19(f15(x4611,x4612),f15(x4613,x4612),f27(f27(f6(a2),x4614),f7(a2))),f15(f19(x4611,x4613,x4614),x4612))
% 0.74/0.89 [491]P29(f27(f27(f28(a12,a47),f19(x4911,x4912,x4913)),f19(x4914,x4912,x4913)))+~P29(f27(f27(f28(a12,a47),x4911),x4914))
% 0.74/0.89 [492]P29(f27(f27(f28(a12,a47),f19(x4921,x4922,x4923)),f19(x4921,x4924,x4923)))+~P29(f27(f27(f28(a12,a47),x4922),x4924))
% 0.74/0.89 [495]P8(x4951,x4952,f39(x4953,x4951,x4954,x4952))+~P8(x4951,f18(x4952,f13(x4954,f4(a47),a47),a47),x4953)
% 0.74/0.89 [496]P4(x4961,x4962,f40(x4963,x4961,x4962,x4964))+~P8(x4961,f18(x4964,f13(x4962,f4(a47),a47),a47),x4963)
% 0.74/0.89 [505]P29(f27(x5051,f27(x5052,x5053)))+~P29(f27(x5051,f44(x5052,x5054,f32(x5053),a48)))
% 0.74/0.89 [518]~P4(x5181,f27(f27(a10,x5182),x5184),x5183)+P4(x5181,x5182,f27(f27(a45,f38(x5183,x5181,x5182,x5184)),x5183))
% 0.74/0.89 [423]~P24(x4231)+E(f27(f27(f6(x4231),x4232),f27(f27(f6(x4231),x4233),x4234)),f27(f27(f6(x4231),x4233),f27(f27(f6(x4231),x4232),x4234)))
% 0.74/0.89 [424]~P13(x4241)+E(f27(f27(f6(x4241),x4242),f27(f27(f6(x4241),x4243),x4244)),f27(f27(f6(x4241),x4243),f27(f27(f6(x4241),x4242),x4244)))
% 0.74/0.89 [425]~P12(x4251)+E(f27(f27(f6(x4251),x4252),f27(f27(f6(x4251),x4253),x4254)),f27(f27(f6(x4251),x4253),f27(f27(f6(x4251),x4252),x4254)))
% 0.74/0.89 [501]~P29(f27(f27(f28(x5011,x5012),x5014),x5013))+P29(f27(f27(f28(f29(x5011,x5012,x5012),x5012),x5013),x5014))
% 0.74/0.89 [508]P29(f27(f27(f28(x5081,x5082),x5083),x5084))+~P29(f27(f27(f28(f29(x5081,x5082,x5082),x5082),x5084),x5083))
% 0.74/0.89 [527]~P22(x5271)+E(f22(f6(x5271),f27(f27(f6(x5271),x5272),x5273),x5274,x5271,x5271),f27(f27(f6(x5271),x5272),f22(f6(x5271),x5273,x5274,x5271,x5271)))
% 0.74/0.89 [447]~P11(x4471)+E(f27(f27(f6(x4471),f27(f27(f6(x4471),x4472),x4473)),x4474),f27(f27(f6(x4471),x4472),f27(f27(f6(x4471),x4473),x4474)))
% 0.74/0.89 [448]~P24(x4481)+E(f27(f27(f6(x4481),f27(f27(f6(x4481),x4482),x4483)),x4484),f27(f27(f6(x4481),x4482),f27(f27(f6(x4481),x4483),x4484)))
% 0.74/0.89 [449]~P13(x4491)+E(f27(f27(f6(x4491),f27(f27(f6(x4491),x4492),x4493)),x4494),f27(f27(f6(x4491),x4492),f27(f27(f6(x4491),x4493),x4494)))
% 0.74/0.89 [458]~P24(x4581)+E(f27(f27(f6(x4581),f27(f27(f6(x4581),x4582),x4583)),x4584),f27(f27(f6(x4581),f27(f27(f6(x4581),x4582),x4584)),x4583))
% 0.74/0.89 [371]E(x3711,x3712)+~E(f13(x3713,x3711,x3714),f13(x3715,x3712,x3714))
% 0.74/0.89 [373]E(x3731,x3732)+~E(f13(x3731,x3733,x3734),f13(x3732,x3735,x3734))
% 0.74/0.89 [375]E(x3751,x3752)+~E(f25(x3751,x3753,x3754),f25(x3752,x3755,x3754))
% 0.74/0.89 [472]~P4(x4721,x4724,x4725)+P4(f33(x4721,x4722,x4723,a49),f15(x4724,x4722),x4725)
% 0.74/0.89 [481]~P7(x4811,x4813,x4815,x4814)+P7(x4811,f13(x4812,x4813,x4814),f13(x4812,x4815,x4814),x4814)
% 0.74/0.89 [482]~P7(x4821,x4822,x4825,x4824)+P7(x4821,f18(x4822,x4823,x4824),f18(x4825,x4823,x4824),x4824)
% 0.74/0.89 [483]~P7(x4831,x4833,x4835,x4834)+P7(x4831,f18(x4832,x4833,x4834),f18(x4832,x4835,x4834),x4834)
% 0.74/0.89 [463]P7(x4631,f13(x4632,x4633,x4634),f13(x4635,x4633,x4634),x4634)+~P29(f27(f27(x4631,x4632),x4635))
% 0.74/0.89 [464]~P6(x4645,x4642,a2)+E(f27(f33(x4641,x4642,x4643,x4644),x4645),f27(x4641,x4645))
% 0.74/0.89 [459]E(x4591,x4592)+~E(f18(x4593,f13(x4591,f4(x4594),x4594),x4594),f18(x4595,f13(x4592,f4(x4594),x4594),x4594))
% 0.74/0.89 [460]E(x4601,x4602)+~E(f18(x4601,f13(x4603,f4(x4604),x4604),x4604),f18(x4602,f13(x4605,f4(x4604),x4604),x4604))
% 0.74/0.89 [470]~P29(f27(f27(x4701,x4705),x4704))+P29(f27(f27(f29(x4701,x4702,x4703),x4704),x4705))
% 0.74/0.89 [485]P29(f27(f27(x4851,x4852),x4853))+~P29(f27(f27(f29(x4851,x4854,x4855),x4853),x4852))
% 0.74/0.89 [543]P29(f27(x5431,f27(x5432,x5433)))+~P29(f27(x5431,f16(x5434,x5435,x5432,f11(x5433),a48)))
% 0.74/0.89 [545]P29(f27(x5451,f27(x5452,x5453)))+~P29(f27(x5451,f16(x5452,x5454,x5455,f9(x5453),a48)))
% 0.74/0.89 [473]~P24(x4731)+E(f27(f27(f6(x4731),f27(f27(f6(x4731),x4732),x4733)),f27(f27(f6(x4731),x4734),x4735)),f27(f27(f6(x4731),f27(f27(f6(x4731),x4732),x4734)),f27(f27(f6(x4731),x4733),x4735)))
% 0.74/0.89 [517]P29(f27(x5171,f27(f27(x5172,x5173),x5174)))+~P29(f27(x5171,f44(x5175,x5172,f27(f27(a45,x5173),x5174),a48)))
% 0.74/0.89 [548]P29(f27(x5481,f27(f27(x5482,x5483),x5484)))+~P29(f27(x5481,f16(x5485,x5482,x5486,f27(f27(a10,x5483),x5484),a48)))
% 0.74/0.89 [344]E(x3441,x3442)+P6(x3442,x3441,a2)+P6(x3441,x3442,a2)
% 0.74/0.89 [387]~P1(x3871)+P6(f8(x3871),f30(x3872,x3871),x3871)+~P6(f8(a2),x3872,a2)
% 0.74/0.89 [391]~P1(x3912)+~P6(f8(x3912),f30(x3911,x3912),x3912)+P6(f8(a2),x3911,a2)
% 0.74/0.89 [318]~P25(x3181)+~P9(x3181)+E(f27(f27(f6(x3181),x3182),f8(x3181)),x3182)
% 0.74/0.89 [340]~P16(x3402)+E(x3401,f8(x3402))+~E(f27(f27(f6(x3402),x3401),x3401),f8(x3402))
% 0.74/0.89 [411]~P16(x4111)+~P6(f8(x4111),x4112,x4111)+P6(f8(x4111),f27(f27(f6(x4111),x4112),x4112),x4111)
% 0.74/0.89 [412]~P26(x4121)+~P6(x4122,f8(x4121),x4121)+P6(f27(f27(f6(x4121),x4122),x4122),f8(x4121),x4121)
% 0.74/0.89 [413]~P16(x4131)+~P6(x4132,f8(x4131),x4131)+P6(f27(f27(f6(x4131),x4132),x4132),f8(x4131),x4131)
% 0.74/0.89 [428]~P26(x4282)+P6(x4281,f8(x4282),x4282)+~P6(f27(f27(f6(x4282),x4281),x4281),f8(x4282),x4282)
% 0.74/0.89 [429]~P16(x4292)+P6(x4291,f8(x4292),x4292)+~P6(f27(f27(f6(x4292),x4291),x4291),f8(x4292),x4292)
% 0.74/0.89 [430]~P16(x4301)+P6(f8(x4301),x4302,x4301)+~P6(f8(x4301),f27(f27(f6(x4301),x4302),x4302),x4301)
% 0.74/0.89 [432]P6(f8(a2),x4321,a2)+P6(f8(a2),x4322,a2)+~P6(f8(a2),f27(f27(f6(a2),x4321),x4322),a2)
% 0.74/0.89 [383]~P6(x3833,x3832,x3831)+~P17(x3831)+~P6(x3832,x3833,x3831)
% 0.74/0.89 [384]~P6(x3843,x3842,x3841)+~P18(x3841)+~P6(x3842,x3843,x3841)
% 0.74/0.89 [385]~P6(x3853,x3852,x3851)+~P23(x3851)+~P6(x3852,x3853,x3851)
% 0.74/0.89 [309]~P3(x3093)+E(x3091,x3092)+~E(f30(x3091,x3093),f30(x3092,x3093))
% 0.74/0.89 [390]~P1(x3902)+~P6(x3901,x3903,a2)+P6(f30(x3901,x3902),f30(x3903,x3902),x3902)
% 0.74/0.89 [399]~P1(x3993)+~P6(f30(x3991,x3993),f30(x3992,x3993),x3993)+P6(x3991,x3992,a2)
% 0.74/0.89 [360]E(x3601,x3602)+P6(x3602,x3601,a2)+E(f19(f9(x3601),x3603,x3602),f9(x3601))
% 0.74/0.89 [541]~P10(f29(a12,a47,a47),x5412,a47)+~P10(f29(a12,a47,a47),f22(a10,f19(x5411,x5412,f8(a2)),x5413,a47,a47),a47)+P10(f29(a12,a47,a47),f22(a10,f27(f27(a10,f11(x5411)),x5412),x5413,a47,a47),a47)
% 0.74/0.89 [549]~P29(f27(a5,x5492))+~P29(f27(a5,f22(a10,f19(x5491,x5492,f8(a2)),x5493,a47,a47)))+P29(f27(a5,f22(a10,f27(f27(a10,f11(x5491)),x5492),x5493,a47,a47)))
% 0.74/0.89 [431]~P5(x4311,x4313,x4314)+~P5(x4311,x4312,x4314)+P5(x4311,f18(x4312,x4313,x4314),x4314)
% 0.74/0.89 [362]P29(f27(x3621,x3622))+P29(f27(x3621,x3623))+~E(f34(x3621),f27(f27(a45,x3624),x3623))
% 0.74/0.89 [363]P29(f27(x3631,x3632))+P29(f27(x3631,x3633))+~E(f34(x3631),f27(f27(a45,x3633),x3634))
% 0.74/0.89 [409]P4(x4091,x4092,x4093)+~P4(x4091,x4094,x4093)+~P29(f27(f27(a12,x4094),x4092))
% 0.74/0.89 [415]P10(x4151,x4152,x4153)+~P10(x4151,x4154,x4153)+~P29(f27(f27(x4151,x4152),x4154))
% 0.74/0.89 [523]E(x5231,f4(a47))+E(f22(a10,x5232,f20(x5233,x5234,x5232,x5231),a47,a47),x5233)+~E(f27(f27(a10,x5233),x5234),f22(a10,x5232,x5231,a47,a47))
% 0.74/0.89 [376]~P14(x3763)+E(x3761,x3762)+~E(f27(f27(f6(x3763),x3764),x3761),f27(f27(f6(x3763),x3764),x3762))
% 0.74/0.89 [377]~P15(x3773)+E(x3771,x3772)+~E(f27(f27(f6(x3773),x3774),x3771),f27(f27(f6(x3773),x3774),x3772))
% 0.74/0.89 [378]~P15(x3783)+E(x3781,x3782)+~E(f27(f27(f6(x3783),x3781),x3784),f27(f27(f6(x3783),x3782),x3784))
% 0.74/0.89 [417]~P6(x4174,x4173,a2)+P6(x4171,x4172,a2)+~E(f27(f27(f6(a2),x4171),x4173),f27(f27(f6(a2),x4174),x4172))
% 0.74/0.89 [435]~P19(x4351)+~P6(x4352,x4354,x4351)+P6(f27(f27(f6(x4351),x4352),x4353),f27(f27(f6(x4351),x4354),x4353),x4351)
% 0.74/0.89 [436]~P20(x4361)+~P6(x4362,x4364,x4361)+P6(f27(f27(f6(x4361),x4362),x4363),f27(f27(f6(x4361),x4364),x4363),x4361)
% 0.74/0.89 [437]~P19(x4371)+~P6(x4373,x4374,x4371)+P6(f27(f27(f6(x4371),x4372),x4373),f27(f27(f6(x4371),x4372),x4374),x4371)
% 0.74/0.89 [438]~P20(x4381)+~P6(x4383,x4384,x4381)+P6(f27(f27(f6(x4381),x4382),x4383),f27(f27(f6(x4381),x4382),x4384),x4381)
% 0.74/0.89 [442]P4(x4421,x4422,x4423)+~P4(x4421,x4424,x4423)+~P29(f27(f27(f28(a12,a47),x4424),x4422))
% 0.74/0.89 [443]~P6(x4432,x4434,a2)+~P6(x4431,x4433,a2)+P6(f27(f27(f6(a2),x4431),x4432),f27(f27(f6(a2),x4433),x4434),a2)
% 0.74/0.89 [452]P10(x4521,x4522,x4523)+~P10(x4521,x4524,x4523)+~P29(f27(f27(f28(x4521,x4523),x4522),x4524))
% 0.74/0.89 [456]~P19(x4563)+P6(x4561,x4562,x4563)+~P6(f27(f27(f6(x4563),x4564),x4561),f27(f27(f6(x4563),x4564),x4562),x4563)
% 0.74/0.89 [457]~P19(x4573)+P6(x4571,x4572,x4573)+~P6(f27(f27(f6(x4573),x4571),x4574),f27(f27(f6(x4573),x4572),x4574),x4573)
% 0.74/0.89 [493]~P29(f27(f27(f28(a12,a47),x4931),x4933))+~P29(f27(f27(f28(a12,a47),x4932),x4934))+P29(f27(f27(f28(a12,a47),f27(f27(a10,x4931),x4932)),f27(f27(a10,x4933),x4934)))
% 0.74/0.89 [521]E(x5211,f4(a47))+~E(f27(f27(a10,x5212),x5213),f22(a10,x5214,x5211,a47,a47))+E(f18(f20(x5212,x5213,x5214,x5211),f13(x5213,f4(a47),a47),a47),x5211)
% 0.74/0.89 [381]E(x3811,x3812)+~E(f25(x3813,x3811,x3814),f25(x3815,x3812,x3814))+E(x3813,f8(a2))
% 0.74/0.89 [536]~P8(x5361,x5363,x5365)+~P4(x5361,x5362,f23(a45,x5365,x5364,a49,a49))+P4(x5361,f22(a10,x5362,x5363,a47,a47),x5364)
% 0.74/0.89 [444]~P4(x4441,x4443,x4445)+~P4(x4441,x4442,f27(f27(a45,x4445),x4444))+P4(x4441,f27(f27(a10,x4442),x4443),x4444)
% 0.74/0.89 [546]E(x5461,x5462)+~P4(x5463,f22(a10,f9(x5464),x5465,a47,a47),x5461)+~P4(x5463,f22(a10,f9(x5464),x5465,a47,a47),x5462)
% 0.74/0.89 [465]~P29(f27(f27(x4651,x4655),x4654))+~P29(f27(f27(f28(x4651,x4652),x4653),x4655))+P29(f27(f27(f28(x4651,x4652),x4653),x4654))
% 0.74/0.89 [466]~P29(f27(f27(x4661,x4663),x4665))+~P29(f27(f27(f28(x4661,x4662),x4665),x4664))+P29(f27(f27(f28(x4661,x4662),x4663),x4664))
% 0.74/0.89 [476]~P29(f27(f27(f28(x4761,x4762),x4763),x4765))+P29(f27(f27(f28(x4761,x4762),x4763),x4764))+~P29(f27(f27(f28(x4761,x4762),x4765),x4764))
% 0.74/0.89 [441]~P12(x4411)+E(f27(f27(f6(x4411),x4412),x4413),x4414)+~E(f27(f27(f6(x4411),x4412),f27(f27(f6(x4411),x4415),x4413)),f27(f27(f6(x4411),x4415),x4414))
% 0.74/0.89 [474]E(x4741,x4742)+E(x4743,x4744)+~P7(x4745,f13(x4744,x4742,x4746),f13(x4743,x4741,x4746),x4746)
% 0.74/0.89 [488]E(x4881,x4882)+P7(x4883,x4881,x4882,x4884)+~P7(x4883,f13(x4885,x4881,x4884),f13(x4886,x4882,x4884),x4884)
% 0.74/0.89 [494]~P4(x4941,x4943,x4946)+P4(x4941,f19(x4942,x4943,x4944),x4945)+~P4(f33(x4941,x4944,x4946,a49),x4942,x4945)
% 0.74/0.89 [477]E(x4771,x4772)+~P7(x4773,f13(x4772,x4774,x4775),f13(x4771,x4776,x4775),x4775)+P29(f27(f27(x4773,x4772),x4771))
% 0.74/0.89 [490]P7(x4901,x4902,x4903,x4904)+~P7(x4901,f13(x4905,x4902,x4904),f13(x4906,x4903,x4904),x4904)+P29(f27(f27(x4901,x4905),x4906))
% 0.74/0.89 [502]E(x5021,x5022)+E(x5023,x5024)+~P7(x5025,f18(x5023,f13(x5021,f4(x5026),x5026),x5026),f18(x5024,f13(x5022,f4(x5026),x5026),x5026),x5026)
% 0.74/0.89 [503]E(x5031,x5032)+~P7(x5033,f18(x5034,f13(x5031,f4(x5035),x5035),x5035),f18(x5036,f13(x5032,f4(x5035),x5035),x5035),x5035)+P29(f27(f27(x5033,x5031),x5032))
% 0.74/0.89 [506]E(x5061,x5062)+P7(x5063,x5061,x5062,x5064)+~P7(x5063,f18(x5061,f13(x5065,f4(x5064),x5064),x5064),f18(x5062,f13(x5066,f4(x5064),x5064),x5064),x5064)
% 0.74/0.89 [507]P7(x5071,x5072,x5073,x5074)+~P7(x5071,f18(x5072,f13(x5075,f4(x5074),x5074),x5074),f18(x5073,f13(x5076,f4(x5074),x5074),x5074),x5074)+P29(f27(f27(x5071,x5075),x5076))
% 0.74/0.89 [358]P6(x3581,x3582,x3583)+~P18(x3583)+E(x3581,x3582)+P6(x3582,x3581,x3583)
% 0.74/0.89 [359]P6(x3591,x3592,x3593)+~P26(x3593)+E(x3591,x3592)+P6(x3592,x3591,x3593)
% 0.74/0.89 [341]~P25(x3412)+~P9(x3412)+E(x3411,f8(x3412))+~E(f27(f27(f6(x3412),x3413),x3411),x3413)
% 0.74/0.89 [439]~P21(x4391)+~P6(f8(x4391),x4393,x4391)+~P6(f8(x4391),x4392,x4391)+P6(f8(x4391),f27(f27(f6(x4391),x4392),x4393),x4391)
% 0.74/0.89 [440]~P21(x4401)+~P6(x4403,f8(x4401),x4401)+~P6(x4402,f8(x4401),x4401)+P6(f27(f27(f6(x4401),x4402),x4403),f8(x4401),x4401)
% 0.74/0.89 [402]~P17(x4023)+~P6(x4021,x4024,x4023)+P6(x4021,x4022,x4023)+~P6(x4024,x4022,x4023)
% 0.74/0.89 [403]~P23(x4033)+~P6(x4031,x4034,x4033)+P6(x4031,x4032,x4033)+~P6(x4034,x4032,x4033)
% 0.74/0.89 [386]~P25(x3863)+~P9(x3863)+E(x3861,x3862)+~E(f27(f27(f6(x3863),x3864),x3861),f27(f27(f6(x3863),x3864),x3862))
% 0.74/0.89 [433]~P1(x4332)+~P6(x4331,x4334,x4332)+~P6(f8(x4332),x4333,x4332)+P6(x4331,f27(f27(f6(x4332),x4333),x4334),x4332)
% 0.74/0.89 [453]~P20(x4531)+~P6(x4533,x4535,x4531)+~P6(x4532,x4534,x4531)+P6(f27(f27(f6(x4531),x4532),x4533),f27(f27(f6(x4531),x4534),x4535),x4531)
% 0.74/0.89 [554]~P8(x5541,x5545,x5546)+P8(x5541,x5542,f43(x5543,x5544,x5541,x5542))+~P4(x5541,f22(a10,f9(x5547),x5545,a47,a47),x5544)+~P4(x5541,f22(a10,f22(a10,f9(x5547),x5545,a47,a47),x5542,a47,a47),x5543)
% 0.74/0.89 [556]~P8(x5563,x5565,x5566)+~P4(x5563,f22(a10,f9(x5567),x5565,a47,a47),x5562)+~P4(x5563,f22(a10,f22(a10,f9(x5567),x5565,a47,a47),x5564,a47,a47),x5561)+E(f23(a45,f43(x5561,x5562,x5563,x5564),x5561,a49,a49),x5562)
% 0.74/0.89 [499]~P4(x4996,x4992,x4995)+~P4(f33(x4996,x4993,x4995,a49),x4991,x4997)+~P29(f27(a5,x4992))+~P29(f27(a5,x4991))+~E(f27(f27(a45,x4994),x4995),a52)+P29(f27(a5,f19(x4991,x4992,x4993)))
% 0.74/0.89 [500]~P4(x5006,x5002,x5004)+~P4(f33(x5006,x5003,x5004,a49),x5001,x5007)+~P29(f27(a5,x5002))+~P29(f27(a5,x5001))+~E(f27(f27(a45,x5004),x5005),a52)+P29(f27(a5,f19(x5001,x5002,x5003)))
% 0.74/0.89 %EqnAxiom
% 0.74/0.89 [1]E(x11,x11)
% 0.74/0.89 [2]E(x22,x21)+~E(x21,x22)
% 0.74/0.89 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.74/0.89 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.74/0.89 [5]~E(x51,x52)+E(f24(x51,x53),f24(x52,x53))
% 0.74/0.89 [6]~E(x61,x62)+E(f24(x63,x61),f24(x63,x62))
% 0.74/0.89 [7]~E(x71,x72)+E(f22(x71,x73,x74,x75,x76),f22(x72,x73,x74,x75,x76))
% 0.74/0.89 [8]~E(x81,x82)+E(f22(x83,x81,x84,x85,x86),f22(x83,x82,x84,x85,x86))
% 0.74/0.89 [9]~E(x91,x92)+E(f22(x93,x94,x91,x95,x96),f22(x93,x94,x92,x95,x96))
% 0.74/0.89 [10]~E(x101,x102)+E(f22(x103,x104,x105,x101,x106),f22(x103,x104,x105,x102,x106))
% 0.74/0.89 [11]~E(x111,x112)+E(f22(x113,x114,x115,x116,x111),f22(x113,x114,x115,x116,x112))
% 0.74/0.89 [12]~E(x121,x122)+E(f27(x121,x123),f27(x122,x123))
% 0.74/0.89 [13]~E(x131,x132)+E(f27(x133,x131),f27(x133,x132))
% 0.74/0.89 [14]~E(x141,x142)+E(f6(x141),f6(x142))
% 0.74/0.89 [15]~E(x151,x152)+E(f9(x151),f9(x152))
% 0.74/0.89 [16]~E(x161,x162)+E(f8(x161),f8(x162))
% 0.74/0.89 [17]~E(x171,x172)+E(f13(x171,x173,x174),f13(x172,x173,x174))
% 0.74/0.89 [18]~E(x181,x182)+E(f13(x183,x181,x184),f13(x183,x182,x184))
% 0.74/0.89 [19]~E(x191,x192)+E(f13(x193,x194,x191),f13(x193,x194,x192))
% 0.74/0.89 [20]~E(x201,x202)+E(f30(x201,x203),f30(x202,x203))
% 0.74/0.89 [21]~E(x211,x212)+E(f30(x213,x211),f30(x213,x212))
% 0.74/0.89 [22]~E(x221,x222)+E(f11(x221),f11(x222))
% 0.74/0.89 [23]~E(x231,x232)+E(f15(x231,x233),f15(x232,x233))
% 0.74/0.89 [24]~E(x241,x242)+E(f15(x243,x241),f15(x243,x242))
% 0.74/0.89 [25]~E(x251,x252)+E(f29(x251,x253,x254),f29(x252,x253,x254))
% 0.74/0.89 [26]~E(x261,x262)+E(f29(x263,x261,x264),f29(x263,x262,x264))
% 0.74/0.89 [27]~E(x271,x272)+E(f29(x273,x274,x271),f29(x273,x274,x272))
% 0.74/0.89 [28]~E(x281,x282)+E(f18(x281,x283,x284),f18(x282,x283,x284))
% 0.74/0.89 [29]~E(x291,x292)+E(f18(x293,x291,x294),f18(x293,x292,x294))
% 0.74/0.89 [30]~E(x301,x302)+E(f18(x303,x304,x301),f18(x303,x304,x302))
% 0.74/0.89 [31]~E(x311,x312)+E(f33(x311,x313,x314,x315),f33(x312,x313,x314,x315))
% 0.74/0.89 [32]~E(x321,x322)+E(f33(x323,x321,x324,x325),f33(x323,x322,x324,x325))
% 0.74/0.89 [33]~E(x331,x332)+E(f33(x333,x334,x331,x335),f33(x333,x334,x332,x335))
% 0.74/0.89 [34]~E(x341,x342)+E(f33(x343,x344,x345,x341),f33(x343,x344,x345,x342))
% 0.74/0.89 [35]~E(x351,x352)+E(f23(x351,x353,x354,x355,x356),f23(x352,x353,x354,x355,x356))
% 0.74/0.89 [36]~E(x361,x362)+E(f23(x363,x361,x364,x365,x366),f23(x363,x362,x364,x365,x366))
% 0.74/0.89 [37]~E(x371,x372)+E(f23(x373,x374,x371,x375,x376),f23(x373,x374,x372,x375,x376))
% 0.74/0.89 [38]~E(x381,x382)+E(f23(x383,x384,x385,x381,x386),f23(x383,x384,x385,x382,x386))
% 0.74/0.89 [39]~E(x391,x392)+E(f23(x393,x394,x395,x396,x391),f23(x393,x394,x395,x396,x392))
% 0.74/0.89 [40]~E(x401,x402)+E(f26(x401,x403),f26(x402,x403))
% 0.74/0.89 [41]~E(x411,x412)+E(f26(x413,x411),f26(x413,x412))
% 0.74/0.89 [42]~E(x421,x422)+E(f14(x421,x423,x424),f14(x422,x423,x424))
% 0.74/0.89 [43]~E(x431,x432)+E(f14(x433,x431,x434),f14(x433,x432,x434))
% 0.74/0.89 [44]~E(x441,x442)+E(f14(x443,x444,x441),f14(x443,x444,x442))
% 0.74/0.89 [45]~E(x451,x452)+E(f39(x451,x453,x454,x455),f39(x452,x453,x454,x455))
% 0.74/0.89 [46]~E(x461,x462)+E(f39(x463,x461,x464,x465),f39(x463,x462,x464,x465))
% 0.74/0.89 [47]~E(x471,x472)+E(f39(x473,x474,x471,x475),f39(x473,x474,x472,x475))
% 0.74/0.89 [48]~E(x481,x482)+E(f39(x483,x484,x485,x481),f39(x483,x484,x485,x482))
% 0.74/0.89 [49]~E(x491,x492)+E(f28(x491,x493),f28(x492,x493))
% 0.74/0.89 [50]~E(x501,x502)+E(f28(x503,x501),f28(x503,x502))
% 0.74/0.89 [51]~E(x511,x512)+E(f46(x511,x513,x514,x515),f46(x512,x513,x514,x515))
% 0.74/0.89 [52]~E(x521,x522)+E(f46(x523,x521,x524,x525),f46(x523,x522,x524,x525))
% 0.74/0.89 [53]~E(x531,x532)+E(f46(x533,x534,x531,x535),f46(x533,x534,x532,x535))
% 0.74/0.89 [54]~E(x541,x542)+E(f46(x543,x544,x545,x541),f46(x543,x544,x545,x542))
% 0.74/0.89 [55]~E(x551,x552)+E(f25(x551,x553,x554),f25(x552,x553,x554))
% 0.74/0.89 [56]~E(x561,x562)+E(f25(x563,x561,x564),f25(x563,x562,x564))
% 0.74/0.89 [57]~E(x571,x572)+E(f25(x573,x574,x571),f25(x573,x574,x572))
% 0.74/0.89 [58]~E(x581,x582)+E(f17(x581,x583,x584,x585,x586),f17(x582,x583,x584,x585,x586))
% 0.74/0.89 [59]~E(x591,x592)+E(f17(x593,x591,x594,x595,x596),f17(x593,x592,x594,x595,x596))
% 0.74/0.89 [60]~E(x601,x602)+E(f17(x603,x604,x601,x605,x606),f17(x603,x604,x602,x605,x606))
% 0.74/0.89 [61]~E(x611,x612)+E(f17(x613,x614,x615,x611,x616),f17(x613,x614,x615,x612,x616))
% 0.74/0.89 [62]~E(x621,x622)+E(f17(x623,x624,x625,x626,x621),f17(x623,x624,x625,x626,x622))
% 0.74/0.89 [63]~E(x631,x632)+E(f7(x631),f7(x632))
% 0.74/0.89 [64]~E(x641,x642)+E(f44(x641,x643,x644,x645),f44(x642,x643,x644,x645))
% 0.74/0.89 [65]~E(x651,x652)+E(f44(x653,x651,x654,x655),f44(x653,x652,x654,x655))
% 0.74/0.89 [66]~E(x661,x662)+E(f44(x663,x664,x661,x665),f44(x663,x664,x662,x665))
% 0.74/0.89 [67]~E(x671,x672)+E(f44(x673,x674,x675,x671),f44(x673,x674,x675,x672))
% 0.74/0.89 [68]~E(x681,x682)+E(f34(x681),f34(x682))
% 0.74/0.89 [69]~E(x691,x692)+E(f19(x691,x693,x694),f19(x692,x693,x694))
% 0.74/0.89 [70]~E(x701,x702)+E(f19(x703,x701,x704),f19(x703,x702,x704))
% 0.74/0.89 [71]~E(x711,x712)+E(f19(x713,x714,x711),f19(x713,x714,x712))
% 0.74/0.89 [72]~E(x721,x722)+E(f41(x721,x723,x724),f41(x722,x723,x724))
% 0.74/0.89 [73]~E(x731,x732)+E(f41(x733,x731,x734),f41(x733,x732,x734))
% 0.74/0.89 [74]~E(x741,x742)+E(f41(x743,x744,x741),f41(x743,x744,x742))
% 0.74/0.89 [75]~E(x751,x752)+E(f32(x751),f32(x752))
% 0.74/0.89 [76]~E(x761,x762)+E(f40(x761,x763,x764,x765),f40(x762,x763,x764,x765))
% 0.74/0.89 [77]~E(x771,x772)+E(f40(x773,x771,x774,x775),f40(x773,x772,x774,x775))
% 0.74/0.89 [78]~E(x781,x782)+E(f40(x783,x784,x781,x785),f40(x783,x784,x782,x785))
% 0.74/0.89 [79]~E(x791,x792)+E(f40(x793,x794,x795,x791),f40(x793,x794,x795,x792))
% 0.74/0.89 [80]~E(x801,x802)+E(f38(x801,x803,x804,x805),f38(x802,x803,x804,x805))
% 0.74/0.89 [81]~E(x811,x812)+E(f38(x813,x811,x814,x815),f38(x813,x812,x814,x815))
% 0.74/0.89 [82]~E(x821,x822)+E(f38(x823,x824,x821,x825),f38(x823,x824,x822,x825))
% 0.74/0.89 [83]~E(x831,x832)+E(f38(x833,x834,x835,x831),f38(x833,x834,x835,x832))
% 0.74/0.89 [84]~E(x841,x842)+E(f16(x841,x843,x844,x845,x846),f16(x842,x843,x844,x845,x846))
% 0.74/0.89 [85]~E(x851,x852)+E(f16(x853,x851,x854,x855,x856),f16(x853,x852,x854,x855,x856))
% 0.74/0.89 [86]~E(x861,x862)+E(f16(x863,x864,x861,x865,x866),f16(x863,x864,x862,x865,x866))
% 0.74/0.89 [87]~E(x871,x872)+E(f16(x873,x874,x875,x871,x876),f16(x873,x874,x875,x872,x876))
% 0.74/0.89 [88]~E(x881,x882)+E(f16(x883,x884,x885,x886,x881),f16(x883,x884,x885,x886,x882))
% 0.74/0.89 [89]~E(x891,x892)+E(f31(x891),f31(x892))
% 0.74/0.89 [90]~E(x901,x902)+E(f43(x901,x903,x904,x905),f43(x902,x903,x904,x905))
% 0.74/0.89 [91]~E(x911,x912)+E(f43(x913,x911,x914,x915),f43(x913,x912,x914,x915))
% 0.74/0.89 [92]~E(x921,x922)+E(f43(x923,x924,x921,x925),f43(x923,x924,x922,x925))
% 0.74/0.89 [93]~E(x931,x932)+E(f43(x933,x934,x935,x931),f43(x933,x934,x935,x932))
% 0.74/0.89 [94]~E(x941,x942)+E(f20(x941,x943,x944,x945),f20(x942,x943,x944,x945))
% 0.74/0.89 [95]~E(x951,x952)+E(f20(x953,x951,x954,x955),f20(x953,x952,x954,x955))
% 0.74/0.89 [96]~E(x961,x962)+E(f20(x963,x964,x961,x965),f20(x963,x964,x962,x965))
% 0.74/0.89 [97]~E(x971,x972)+E(f20(x973,x974,x975,x971),f20(x973,x974,x975,x972))
% 0.74/0.89 [98]~E(x981,x982)+E(f35(x981,x983,x984,x985),f35(x982,x983,x984,x985))
% 0.74/0.89 [99]~E(x991,x992)+E(f35(x993,x991,x994,x995),f35(x993,x992,x994,x995))
% 0.74/0.89 [100]~E(x1001,x1002)+E(f35(x1003,x1004,x1001,x1005),f35(x1003,x1004,x1002,x1005))
% 0.74/0.89 [101]~E(x1011,x1012)+E(f35(x1013,x1014,x1015,x1011),f35(x1013,x1014,x1015,x1012))
% 0.74/0.89 [102]~E(x1021,x1022)+E(f42(x1021,x1023,x1024,x1025),f42(x1022,x1023,x1024,x1025))
% 0.74/0.89 [103]~E(x1031,x1032)+E(f42(x1033,x1031,x1034,x1035),f42(x1033,x1032,x1034,x1035))
% 0.74/0.89 [104]~E(x1041,x1042)+E(f42(x1043,x1044,x1041,x1045),f42(x1043,x1044,x1042,x1045))
% 0.74/0.89 [105]~E(x1051,x1052)+E(f42(x1053,x1054,x1055,x1051),f42(x1053,x1054,x1055,x1052))
% 0.74/0.89 [106]~E(x1061,x1062)+E(f50(x1061,x1063),f50(x1062,x1063))
% 0.74/0.89 [107]~E(x1071,x1072)+E(f50(x1073,x1071),f50(x1073,x1072))
% 0.74/0.89 [108]~E(x1081,x1082)+E(f37(x1081,x1083,x1084),f37(x1082,x1083,x1084))
% 0.74/0.89 [109]~E(x1091,x1092)+E(f37(x1093,x1091,x1094),f37(x1093,x1092,x1094))
% 0.74/0.89 [110]~E(x1101,x1102)+E(f37(x1103,x1104,x1101),f37(x1103,x1104,x1102))
% 0.74/0.89 [111]~E(x1111,x1112)+E(f21(x1111,x1113,x1114),f21(x1112,x1113,x1114))
% 0.74/0.89 [112]~E(x1121,x1122)+E(f21(x1123,x1121,x1124),f21(x1123,x1122,x1124))
% 0.74/0.89 [113]~E(x1131,x1132)+E(f21(x1133,x1134,x1131),f21(x1133,x1134,x1132))
% 0.74/0.89 [114]~E(x1141,x1142)+E(f36(x1141,x1143,x1144,x1145),f36(x1142,x1143,x1144,x1145))
% 0.74/0.89 [115]~E(x1151,x1152)+E(f36(x1153,x1151,x1154,x1155),f36(x1153,x1152,x1154,x1155))
% 0.74/0.89 [116]~E(x1161,x1162)+E(f36(x1163,x1164,x1161,x1165),f36(x1163,x1164,x1162,x1165))
% 0.74/0.89 [117]~E(x1171,x1172)+E(f36(x1173,x1174,x1175,x1171),f36(x1173,x1174,x1175,x1172))
% 0.74/0.89 [118]~P1(x1181)+P1(x1182)+~E(x1181,x1182)
% 0.74/0.89 [119]~P27(x1191)+P27(x1192)+~E(x1191,x1192)
% 0.74/0.89 [120]~P28(x1201)+P28(x1202)+~E(x1201,x1202)
% 0.74/0.89 [121]~P2(x1211)+P2(x1212)+~E(x1211,x1212)
% 0.74/0.89 [122]~P3(x1221)+P3(x1222)+~E(x1221,x1222)
% 0.74/0.89 [123]~P11(x1231)+P11(x1232)+~E(x1231,x1232)
% 0.74/0.89 [124]~P17(x1241)+P17(x1242)+~E(x1241,x1242)
% 0.74/0.89 [125]~P29(x1251)+P29(x1252)+~E(x1251,x1252)
% 0.74/0.89 [126]~P18(x1261)+P18(x1262)+~E(x1261,x1262)
% 0.74/0.89 [127]~P23(x1271)+P23(x1272)+~E(x1271,x1272)
% 0.74/0.89 [128]P6(x1282,x1283,x1284)+~E(x1281,x1282)+~P6(x1281,x1283,x1284)
% 0.74/0.89 [129]P6(x1293,x1292,x1294)+~E(x1291,x1292)+~P6(x1293,x1291,x1294)
% 0.74/0.89 [130]P6(x1303,x1304,x1302)+~E(x1301,x1302)+~P6(x1303,x1304,x1301)
% 0.74/0.89 [131]~P19(x1311)+P19(x1312)+~E(x1311,x1312)
% 0.74/0.89 [132]~P20(x1321)+P20(x1322)+~E(x1321,x1322)
% 0.74/0.89 [133]~P21(x1331)+P21(x1332)+~E(x1331,x1332)
% 0.74/0.89 [134]~P22(x1341)+P22(x1342)+~E(x1341,x1342)
% 0.74/0.89 [135]~P24(x1351)+P24(x1352)+~E(x1351,x1352)
% 0.74/0.89 [136]~P13(x1361)+P13(x1362)+~E(x1361,x1362)
% 0.74/0.89 [137]~P14(x1371)+P14(x1372)+~E(x1371,x1372)
% 0.74/0.89 [138]~P15(x1381)+P15(x1382)+~E(x1381,x1382)
% 0.74/0.89 [139]P10(x1392,x1393,x1394)+~E(x1391,x1392)+~P10(x1391,x1393,x1394)
% 0.74/0.89 [140]P10(x1403,x1402,x1404)+~E(x1401,x1402)+~P10(x1403,x1401,x1404)
% 0.74/0.89 [141]P10(x1413,x1414,x1412)+~E(x1411,x1412)+~P10(x1413,x1414,x1411)
% 0.74/0.89 [142]P4(x1422,x1423,x1424)+~E(x1421,x1422)+~P4(x1421,x1423,x1424)
% 0.74/0.89 [143]P4(x1433,x1432,x1434)+~E(x1431,x1432)+~P4(x1433,x1431,x1434)
% 0.74/0.89 [144]P4(x1443,x1444,x1442)+~E(x1441,x1442)+~P4(x1443,x1444,x1441)
% 0.74/0.89 [145]P8(x1452,x1453,x1454)+~E(x1451,x1452)+~P8(x1451,x1453,x1454)
% 0.74/0.89 [146]P8(x1463,x1462,x1464)+~E(x1461,x1462)+~P8(x1463,x1461,x1464)
% 0.74/0.89 [147]P8(x1473,x1474,x1472)+~E(x1471,x1472)+~P8(x1473,x1474,x1471)
% 0.74/0.89 [148]P7(x1482,x1483,x1484,x1485)+~E(x1481,x1482)+~P7(x1481,x1483,x1484,x1485)
% 0.74/0.89 [149]P7(x1493,x1492,x1494,x1495)+~E(x1491,x1492)+~P7(x1493,x1491,x1494,x1495)
% 0.74/0.89 [150]P7(x1503,x1504,x1502,x1505)+~E(x1501,x1502)+~P7(x1503,x1504,x1501,x1505)
% 0.74/0.89 [151]P7(x1513,x1514,x1515,x1512)+~E(x1511,x1512)+~P7(x1513,x1514,x1515,x1511)
% 0.74/0.89 [152]~P25(x1521)+P25(x1522)+~E(x1521,x1522)
% 0.74/0.89 [153]P5(x1532,x1533,x1534)+~E(x1531,x1532)+~P5(x1531,x1533,x1534)
% 0.74/0.89 [154]P5(x1543,x1542,x1544)+~E(x1541,x1542)+~P5(x1543,x1541,x1544)
% 0.74/0.89 [155]P5(x1553,x1554,x1552)+~E(x1551,x1552)+~P5(x1553,x1554,x1551)
% 0.74/0.89 [156]~P12(x1561)+P12(x1562)+~E(x1561,x1562)
% 0.74/0.89 [157]~P26(x1571)+P26(x1572)+~E(x1571,x1572)
% 0.74/0.89 [158]~P16(x1581)+P16(x1582)+~E(x1581,x1582)
% 0.74/0.89 [159]~P9(x1591)+P9(x1592)+~E(x1591,x1592)
% 0.74/0.89
% 0.74/0.89 %-------------------------------------------
% 0.94/0.90 cnf(561,plain,
% 0.94/0.90 (~P6(f27(f27(f6(a2),x5611),x5612),x5612,a2)),
% 0.94/0.90 inference(rename_variables,[],[291])).
% 0.94/0.90 cnf(567,plain,
% 0.94/0.90 (~E(f13(x5671,x5672,x5673),x5672)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(572,plain,
% 0.94/0.90 (~E(f13(x5721,x5722,x5723),x5722)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(575,plain,
% 0.94/0.90 (~E(f13(x5751,x5752,x5753),x5752)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(578,plain,
% 0.94/0.90 (~E(f13(x5781,x5782,x5783),x5782)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(585,plain,
% 0.94/0.90 (~E(f13(x5851,x5852,x5853),x5852)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(588,plain,
% 0.94/0.90 (~E(f13(x5881,x5882,x5883),x5882)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(597,plain,
% 0.94/0.90 (~E(f13(x5971,x5972,x5973),x5972)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(600,plain,
% 0.94/0.90 (~E(f13(x6001,x6002,x6003),x6002)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(603,plain,
% 0.94/0.90 (~E(f13(x6031,x6032,x6033),x6032)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(606,plain,
% 0.94/0.90 (P4(x6061,f9(x6062),f27(x6061,x6062))),
% 0.94/0.90 inference(rename_variables,[],[206])).
% 0.94/0.90 cnf(611,plain,
% 0.94/0.90 (P29(f27(f27(f31(x6111),x6112),x6112))),
% 0.94/0.90 inference(rename_variables,[],[208])).
% 0.94/0.90 cnf(614,plain,
% 0.94/0.90 (P29(f27(f27(f31(x6141),x6142),x6142))),
% 0.94/0.90 inference(rename_variables,[],[208])).
% 0.94/0.90 cnf(623,plain,
% 0.94/0.90 (P29(f27(f27(f31(x6231),x6232),x6232))),
% 0.94/0.90 inference(rename_variables,[],[208])).
% 0.94/0.90 cnf(631,plain,
% 0.94/0.90 (P29(f27(f27(f31(x6311),x6312),x6312))),
% 0.94/0.90 inference(rename_variables,[],[208])).
% 0.94/0.90 cnf(644,plain,
% 0.94/0.90 (~E(f13(x6441,x6442,x6443),x6442)),
% 0.94/0.90 inference(rename_variables,[],[283])).
% 0.94/0.90 cnf(650,plain,
% 0.94/0.90 ($false),
% 0.94/0.90 inference(scs_inference,[],[297,281,160,161,171,210,181,261,266,258,269,262,293,193,283,567,572,575,578,585,588,597,600,603,644,206,606,197,277,279,291,561,208,611,614,623,631,290,244,2,332,398,396,511,389,334,510,509,427,345,329,328,486,462,454,338,337,306,489,463,545,543,534,533,532,505,475,455,548,517,155,151,150,144,142,125,3,391,381,444]),
% 0.94/0.90 ['proof']).
% 0.94/0.90 % SZS output end Proof
% 0.94/0.90 % Total time :0.130000s
%------------------------------------------------------------------------------