TSTP Solution File: LCL787-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL787-1 : 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 : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:50:55 EDT 2023
% Result : Unsatisfiable 1.34s 1.34s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.15 % Problem : LCL787-1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.37 % Computer : n024.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 24 17:58:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.59 start to proof:theBenchmark
% 1.21/1.30 %-------------------------------------------
% 1.21/1.30 % File :CSE---1.6
% 1.21/1.30 % Problem :theBenchmark
% 1.21/1.30 % Transform :cnf
% 1.21/1.30 % Format :tptp:raw
% 1.21/1.30 % Command :java -jar mcs_scs.jar %d %s
% 1.21/1.30
% 1.21/1.30 % Result :Theorem 0.550000s
% 1.21/1.30 % Output :CNFRefutation 0.550000s
% 1.21/1.30 %-------------------------------------------
% 1.21/1.31 %------------------------------------------------------------------------------
% 1.21/1.31 % File : LCL787-1 : TPTP v8.1.2. Released v4.1.0.
% 1.21/1.31 % Domain : Logic Calculi
% 1.21/1.31 % Problem : Strong normalization of typed lambda calculus 129_13
% 1.21/1.31 % Version : Especial.
% 1.21/1.31 % English :
% 1.21/1.31
% 1.21/1.31 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
% 1.21/1.31 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 1.21/1.31 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.21/1.31 % Source : [Nip10]
% 1.21/1.31 % Names : StrongNorm-129_13 [Nip10]
% 1.21/1.31
% 1.21/1.31 % Status : Unsatisfiable
% 1.21/1.31 % Rating : 0.19 v8.1.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.17 v7.0.0, 0.33 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.43 v6.0.0, 0.60 v5.5.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.69 v5.1.0, 0.71 v5.0.0, 0.57 v4.1.0
% 1.21/1.31 % Syntax : Number of clauses : 378 ( 140 unt; 38 nHn; 212 RR)
% 1.21/1.31 % Number of literals : 724 ( 305 equ; 331 neg)
% 1.21/1.31 % Maximal clause size : 6 ( 1 avg)
% 1.21/1.31 % Maximal term depth : 6 ( 2 avg)
% 1.21/1.31 % Number of predicates : 30 ( 29 usr; 1 prp; 0-4 aty)
% 1.21/1.31 % Number of functors : 65 ( 65 usr; 23 con; 0-5 aty)
% 1.21/1.31 % Number of variables : 1159 ( 200 sgn)
% 1.21/1.31 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.21/1.31
% 1.21/1.31 % Comments :
% 1.21/1.31 %------------------------------------------------------------------------------
% 1.21/1.31 cnf(cls_accp__downwards_0,axiom,
% 1.21/1.31 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 1.21/1.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a))
% 1.21/1.31 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_Nitpick_Ortranclp__def_1,axiom,
% 1.21/1.31 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
% 1.21/1.31 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_replicate__eq__replicate_0,axiom,
% 1.21/1.31 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 1.21/1.31 | V_m = V_n ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_listsp_ONil_0,axiom,
% 1.21/1.31 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_Cons__step1__Cons_4,axiom,
% 1.21/1.31 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa))
% 1.21/1.31 | 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) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_Cons__step1__Cons_2,axiom,
% 1.21/1.31 ( V_x = V_y
% 1.21/1.31 | V_xs = V_ys
% 1.21/1.31 | ~ 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) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_append__in__listsp__conv_1,axiom,
% 1.21/1.31 ( c_List_Olistsp(V_A,V_ys,T_a)
% 1.21/1.31 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_append__in__listsp__conv_0,axiom,
% 1.21/1.31 ( c_List_Olistsp(V_A,V_xs,T_a)
% 1.21/1.31 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_rotate__simps_0,axiom,
% 1.21/1.31 c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_append__step1I_1,axiom,
% 1.21/1.31 ( 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)
% 1.21/1.31 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_append__step1I_0,axiom,
% 1.21/1.31 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.21/1.31 | 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) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_double__eq__0__iff_1,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.21/1.31 | 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) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 1.21/1.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.31 | 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) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_add__cancel__21_1,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.21/1.31 | 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)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.21/1.31 | 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)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.21/1.31 | 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)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 1.21/1.31 | 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)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 1.21/1.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.31 | 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) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 1.21/1.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.31 | 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) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 1.21/1.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.31 | 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)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 1.21/1.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.31 | 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)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_conversep_Ointros_0,axiom,
% 1.21/1.31 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a))
% 1.21/1.31 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_conversep_Ocases_0,axiom,
% 1.21/1.31 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1))
% 1.21/1.31 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_conversep__iff_1,axiom,
% 1.21/1.31 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b))
% 1.21/1.31 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_conversepD_0,axiom,
% 1.21/1.31 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a))
% 1.21/1.31 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_add__cancel__21_0,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.21/1.31 | 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)
% 1.21/1.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_rtranclp__converseD_0,axiom,
% 1.21/1.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x))
% 1.21/1.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_rtranclp__converseI_0,axiom,
% 1.21/1.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y))
% 1.21/1.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 1.21/1.31 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.21/1.31 | ~ class_Int_Onumber__ring(T_a)
% 1.21/1.31 | 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)
% 1.21/1.31 | V_y = V_z ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_add__imp__eq_0,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 1.21/1.31 | 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)
% 1.21/1.31 | V_b = V_c ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_add__left__cancel_0,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.21/1.31 | 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)
% 1.21/1.31 | V_b = V_c ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_add__right__cancel_0,axiom,
% 1.21/1.31 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.21/1.31 | 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)
% 1.21/1.31 | V_b = V_c ) ).
% 1.21/1.31
% 1.21/1.31 cnf(cls_Cons__step1__Cons_0,axiom,
% 1.21/1.32 ( V_x = V_y
% 1.21/1.32 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_last__replicate_0,axiom,
% 1.21/1.32 ( c_List_Olast(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x
% 1.21/1.32 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.32 | 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)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_replicate__eq__replicate_2,axiom,
% 1.21/1.32 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) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rev__is__Nil__conv_0,axiom,
% 1.21/1.32 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 1.21/1.32 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_replicate__eq__replicate_1,axiom,
% 1.21/1.32 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a)
% 1.21/1.32 | V_x = V_y
% 1.21/1.32 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rtranclp__idemp_0,axiom,
% 1.21/1.32 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.21/1.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.21/1.32 | ~ class_Int_Onumber__ring(T_a)
% 1.21/1.32 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.21/1.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__0__left_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.21/1.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.21/1.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rev__is__Nil__conv_1,axiom,
% 1.21/1.32 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rev__append_0,axiom,
% 1.21/1.32 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_accp__downwards__aux_0,axiom,
% 1.21/1.32 ( c_Wellfounded_Oaccp(V_r,V_b,T_a)
% 1.21/1.32 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rtranclp__trans_0,axiom,
% 1.21/1.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z))
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z))
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_IT__implies__termi_0,axiom,
% 1.21/1.32 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
% 1.21/1.32 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_termi__implies__IT_0,axiom,
% 1.21/1.32 ( hBOOL(hAPP(c_InductTermi_OIT,V_r))
% 1.21/1.32 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_take__eq__Nil_2,axiom,
% 1.21/1.32 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rotate1__is__Nil__conv_0,axiom,
% 1.21/1.32 ( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 1.21/1.32 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rev__swap_0,axiom,
% 1.21/1.32 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rev__swap_1,axiom,
% 1.21/1.32 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rev__rev__ident_0,axiom,
% 1.21/1.32 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_append__eq__conv__conj_0,axiom,
% 1.21/1.32 V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.32 | 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.21/1.32 | 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.21/1.32 | 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_foldl__assoc_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Osemigroup__add(T_a)
% 1.21/1.32 | 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)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rev__replicate_0,axiom,
% 1.21/1.32 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_of__nat__eq__iff_0,axiom,
% 1.21/1.32 ( ~ class_Nat_Osemiring__char__0(T_a)
% 1.21/1.32 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)
% 1.21/1.32 | V_m = V_n ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.21/1.32 | ~ class_Int_Onumber__ring(T_a)
% 1.21/1.32 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)
% 1.21/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_double__eq__0__iff_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.21/1.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.21/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_r__into__rtranclp_0,axiom,
% 1.21/1.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y))
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_not__Nil__step1_0,axiom,
% 1.21/1.32 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_not__step1__Nil_0,axiom,
% 1.21/1.32 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_take__butlast_0,axiom,
% 1.21/1.32 ( c_List_Otake(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Otake(V_n,V_xs,T_a)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_conversep__eq_0,axiom,
% 1.21/1.32 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_length__rotate1_0,axiom,
% 1.21/1.32 c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_Cons__step1__Cons_3,axiom,
% 1.21/1.32 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.21/1.32 | V_xs = V_ys
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_append__replicate__commute_0,axiom,
% 1.21/1.32 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) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__strict__mono_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rev__is__rev__conv_0,axiom,
% 1.21/1.32 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 1.21/1.32 | V_xs = V_ys ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_append__in__listsp__conv_2,axiom,
% 1.21/1.32 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a)
% 1.21/1.32 | ~ c_List_Olistsp(V_A,V_ys,T_a)
% 1.21/1.32 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_length__replicate_0,axiom,
% 1.21/1.32 c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_Nil__is__rev__conv_0,axiom,
% 1.21/1.32 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 1.21/1.32 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_conversep__conversep_0,axiom,
% 1.21/1.32 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__strict__right__mono_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__less__cancel__right_1,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__less__cancel__right_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.21/1.32 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__strict__left__mono_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__less__cancel__left_1,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__less__cancel__left_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.21/1.32 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_Cons__step1__Cons_1,axiom,
% 1.21/1.32 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.21/1.32 | hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_Cons__step1__Cons_5,axiom,
% 1.21/1.32 ( 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)
% 1.21/1.32 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_butlast_Osimps_I1_J_0,axiom,
% 1.21/1.32 c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_Nil__is__rev__conv_1,axiom,
% 1.21/1.32 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_length__rev_0,axiom,
% 1.21/1.32 c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom,
% 1.21/1.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c))
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom,
% 1.21/1.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c))
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c))
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_accp_Ocases_0,axiom,
% 1.21/1.32 ( c_Wellfounded_Oaccp(V_r,V_y,T_a)
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a))
% 1.21/1.32 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_accp__downward_0,axiom,
% 1.21/1.32 ( c_Wellfounded_Oaccp(V_r,V_a,T_a)
% 1.21/1.32 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b))
% 1.21/1.32 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_append__butlast__last__id_0,axiom,
% 1.21/1.32 ( c_List_Oappend(c_List_Obutlast(V_xs,T_a),c_List_Olist_OCons(c_List_Olast(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a) = V_xs
% 1.21/1.32 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.21/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_of__nat__less__0__iff_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__neg__neg_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.21/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_even__less__0__iff_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.21/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.21/1.32 | ~ 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) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_even__less__0__iff_1,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_add__pos__pos_0,axiom,
% 1.21/1.32 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_pos__add__strict_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.21/1.32 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_of__nat__0_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Osemiring__1(T_a)
% 1.21/1.32 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_of__nat__less__iff_1,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.21/1.32 | 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)
% 1.21/1.32 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.21/1.32
% 1.21/1.32 cnf(cls_of__nat__less__iff_0,axiom,
% 1.21/1.32 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.21/1.33 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.21/1.33 | ~ 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_replicate__empty_1,axiom,
% 1.21/1.33 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_take__eq__Nil_0,axiom,
% 1.21/1.33 ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a)
% 1.21/1.33 | V_xs = c_List_Olist_ONil(T_a)
% 1.21/1.33 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_length__0__conv_1,axiom,
% 1.21/1.33 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_empty__replicate_1,axiom,
% 1.21/1.33 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_take__0_0,axiom,
% 1.21/1.33 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_replicate__empty_0,axiom,
% 1.21/1.33 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a)
% 1.21/1.33 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_empty__replicate_0,axiom,
% 1.21/1.33 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a)
% 1.21/1.33 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_length__0__conv_0,axiom,
% 1.21/1.33 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat)
% 1.21/1.33 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_singleton__rev__conv_1,axiom,
% 1.21/1.33 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_last_Osimps_1,axiom,
% 1.21/1.33 ( c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a)
% 1.21/1.33 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rev__singleton__conv_1,axiom,
% 1.21/1.33 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_singleton__rev__conv_0,axiom,
% 1.21/1.33 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 1.21/1.33 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rev__singleton__conv_0,axiom,
% 1.21/1.33 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 1.21/1.33 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_butlast_Osimps_I2_J_0,axiom,
% 1.21/1.33 c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_last_Osimps_0,axiom,
% 1.21/1.33 c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_butlast_Osimps_I2_J_1,axiom,
% 1.21/1.33 ( c_List_Obutlast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Obutlast(V_xs,T_a),T_a)
% 1.21/1.33 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_foldl__absorb0_0,axiom,
% 1.21/1.33 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.21/1.33 | 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__eq__Cons__conv_3,axiom,
% 1.21/1.33 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 1.21/1.33 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs
% 1.21/1.33 | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Cons__eq__append__conv_2,axiom,
% 1.21/1.33 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 1.21/1.33 | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys
% 1.21/1.33 | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__eq__Cons__conv_2,axiom,
% 1.21/1.33 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 1.21/1.33 | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)
% 1.21/1.33 | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Cons__eq__append__conv_3,axiom,
% 1.21/1.33 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 1.21/1.33 | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)
% 1.21/1.33 | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_replicate__app__Cons__same_0,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_butlast__append_0,axiom,
% 1.21/1.33 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_last__append_1,axiom,
% 1.21/1.33 ( c_List_Olast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Olast(V_ys,T_a)
% 1.21/1.33 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_last__append_0,axiom,
% 1.21/1.33 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_butlast__append_1,axiom,
% 1.21/1.33 ( c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(V_xs,c_List_Obutlast(V_ys,T_a),T_a)
% 1.21/1.33 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rtrancl__beta__App_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rtrancl__beta__AppL_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rtrancl__beta__AppR_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rtrancl__beta__Abs_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_App__eq__foldl__conv_0,axiom,
% 1.21/1.33 ( 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)
% 1.21/1.33 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_App__eq__foldl__conv_4,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_subst__preserves__beta2_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_subst__preserves__beta_H_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_subst__preserves__beta2_H_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_head__Var__reduction_0,axiom,
% 1.21/1.33 ( 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)
% 1.21/1.33 | ~ 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)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_subject__reduction_H_0,axiom,
% 1.21/1.33 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 1.21/1.33 | ~ c_Type_Otyping(V_e,V_t,V_T)
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_lift__preserves__beta_H_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_foldr__conv__foldl_0,axiom,
% 1.21/1.33 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 1.21/1.33 | 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_apps__eq__tail__conv_0,axiom,
% 1.21/1.33 ( 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)
% 1.21/1.33 | V_r = V_s ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_var__app__types_1,axiom,
% 1.21/1.33 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us))
% 1.21/1.33 | ~ 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)
% 1.21/1.33 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 1.21/1.33 | ~ 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Lambda_0,axiom,
% 1.21/1.33 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r)))
% 1.21/1.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_appR_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_appL_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_uIT_0,axiom,
% 1.21/1.33 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_subst__lift_0,axiom,
% 1.21/1.33 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_lift_Osimps_I1_J_0,axiom,
% 1.21/1.33 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i)
% 1.21/1.33 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_lift__preserves__beta_0,axiom,
% 1.21/1.33 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_not__Cons__self2_0,axiom,
% 1.21/1.33 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_not__Cons__self_0,axiom,
% 1.21/1.33 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Cons__eq__append__conv_4,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_app__Var__IT_0,axiom,
% 1.21/1.33 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))))
% 1.21/1.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Nil__is__append__conv_2,axiom,
% 1.21/1.33 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Abs__App__neq__Var__apps_0,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_abs_0,axiom,
% 1.21/1.33 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_foldl__append_0,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_type_Osimps_I5_J_0,axiom,
% 1.21/1.33 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Cons_0,axiom,
% 1.21/1.33 v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_IT_OVar_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_head__Var__reduction_1,axiom,
% 1.21/1.33 ( 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)
% 1.21/1.33 | ~ 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)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_of__nat__0__less__iff_0,axiom,
% 1.21/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.21/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.21/1.33 | ~ 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_of__nat__0__less__iff_1,axiom,
% 1.21/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.21/1.33 | 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)
% 1.21/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_foldl__foldr1_0,axiom,
% 1.21/1.33 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.21/1.33 | 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_foldl__foldr1__lemma_0,axiom,
% 1.21/1.33 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.21/1.33 | 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)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Var__eq__apps__conv_2,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Var__eq__apps__conv_1,axiom,
% 1.21/1.33 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.21/1.33 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Abs__eq__apps__conv_1,axiom,
% 1.21/1.33 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.21/1.33 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Abs__eq__apps__conv_2,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_apps__eq__Abs__conv_1,axiom,
% 1.21/1.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 1.21/1.33 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_apps__eq__Abs__conv_2,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_apps__preserves__beta2_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_apps__preserves__betas_0,axiom,
% 1.21/1.33 ( 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)))
% 1.21/1.33 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_double__induction__lemma_0,axiom,
% 1.21/1.33 ( ~ 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)
% 1.21/1.33 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB)
% 1.21/1.33 | 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Cons__eq__append__conv_1,axiom,
% 1.21/1.33 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 1.21/1.33 | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a)
% 1.21/1.33 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__eq__Cons__conv_0,axiom,
% 1.21/1.33 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 1.21/1.33 | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a)
% 1.21/1.33 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_last__snoc_0,axiom,
% 1.21/1.33 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_butlast__snoc_0,axiom,
% 1.21/1.33 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Snoc__step1__SnocD_2,axiom,
% 1.21/1.33 ( V_ys = V_xs
% 1.21/1.33 | V_y = V_x
% 1.21/1.33 | ~ 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Snoc__step1__SnocD_3,axiom,
% 1.21/1.33 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 1.21/1.33 | V_y = V_x
% 1.21/1.33 | ~ 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__eq__Cons__conv_1,axiom,
% 1.21/1.33 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a)
% 1.21/1.33 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs
% 1.21/1.33 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Cons__eq__append__conv_0,axiom,
% 1.21/1.33 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a)
% 1.21/1.33 | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys
% 1.21/1.33 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 1.21/1.33 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Snoc__step1__SnocD_1,axiom,
% 1.21/1.33 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x))
% 1.21/1.33 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.21/1.33 | ~ 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 1.21/1.33 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 1.21/1.33 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 1.21/1.33 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_rotate__simps_1,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Snoc__step1__SnocD_0,axiom,
% 1.21/1.33 ( V_ys = V_xs
% 1.21/1.33 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a)
% 1.21/1.33 | ~ 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) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_replicate__append__same_0,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_length__greater__0__conv_1,axiom,
% 1.21/1.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat)
% 1.21/1.33 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_length__greater__0__conv_0,axiom,
% 1.21/1.33 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_take__Cons_H_0,axiom,
% 1.21/1.33 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_type_Osplit_0,axiom,
% 1.21/1.33 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a)))
% 1.21/1.33 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_type_Osplit__asm_0,axiom,
% 1.21/1.33 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a)))
% 1.21/1.33 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_list_Osimps_I3_J_0,axiom,
% 1.21/1.33 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_neq__Nil__conv_1,axiom,
% 1.21/1.33 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Cons__eq__appendI_0,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Cons__eq__append__conv_5,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_dB_Orecs_I2_J_0,axiom,
% 1.21/1.33 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)) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__Cons_0,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__eq__Cons__conv_5,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Abs__eq__apps__conv_0,axiom,
% 1.21/1.33 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.21/1.33 | c_Lambda_OdB_OAbs(V_r) = V_s ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_foldl__Cons_0,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_type__induct_2,axiom,
% 1.21/1.33 ( hBOOL(hAPP(V_P,V_T))
% 1.21/1.33 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_subst__Var_1,axiom,
% 1.21/1.33 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 1.21/1.33 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_list__app__typeE_1,axiom,
% 1.21/1.33 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts))
% 1.21/1.33 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_not__less0_0,axiom,
% 1.21/1.33 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_gr__implies__not0_0,axiom,
% 1.21/1.33 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_typing__elims_I2_J_1,axiom,
% 1.21/1.33 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u))
% 1.21/1.33 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_xt1_I10_J_0,axiom,
% 1.21/1.33 ( ~ class_Orderings_Oorder(T_a)
% 1.21/1.33 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.21/1.33 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.21/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_order__less__trans_0,axiom,
% 1.21/1.33 ( ~ class_Orderings_Opreorder(T_a)
% 1.21/1.33 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.21/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.21/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_typing__elims_I3_J_1,axiom,
% 1.21/1.33 ( 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))
% 1.21/1.33 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_dB_Osimps_I11_J_0,axiom,
% 1.21/1.33 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) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_Var_I3_J_0,axiom,
% 1.21/1.33 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_subst__Var_2,axiom,
% 1.21/1.33 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i)
% 1.21/1.33 | V_i = V_k
% 1.21/1.33 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_dB_Osimps_I12_J_0,axiom,
% 1.21/1.33 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_subst__preserves__beta_0,axiom,
% 1.21/1.33 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i)))
% 1.21/1.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__same__eq_0,axiom,
% 1.21/1.33 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 1.21/1.33 | V_ys = V_zs ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_same__append__eq_0,axiom,
% 1.21/1.33 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 1.21/1.33 | V_ys = V_zs ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__Nil2_0,axiom,
% 1.21/1.33 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_eq__Nil__appendI_0,axiom,
% 1.21/1.33 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_self__append__conv_1,axiom,
% 1.21/1.33 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_append__Nil_0,axiom,
% 1.21/1.33 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_self__append__conv2_1,axiom,
% 1.21/1.33 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_type_Osimps_I1_J_0,axiom,
% 1.21/1.33 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H)
% 1.21/1.33 | V_nat = V_nat_H ) ).
% 1.21/1.33
% 1.21/1.33 cnf(cls_lift_Osimps_I2_J_0,axiom,
% 1.21/1.34 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)) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Beta_0,axiom,
% 1.21/1.34 ( 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)))
% 1.21/1.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s))
% 1.21/1.34 | ~ 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))) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_foldl__Nil_0,axiom,
% 1.21/1.34 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_lift__IT_0,axiom,
% 1.21/1.34 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i)))
% 1.21/1.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
% 1.21/1.34 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) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Nil__is__append__conv_0,axiom,
% 1.21/1.34 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 1.21/1.34 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Nil__is__append__conv_1,axiom,
% 1.21/1.34 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 1.21/1.34 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I3_J_0,axiom,
% 1.21/1.34 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H)
% 1.21/1.34 | V_dB = V_dB_H ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__is__Nil__conv_0,axiom,
% 1.21/1.34 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 1.21/1.34 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__is__Nil__conv_1,axiom,
% 1.21/1.34 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 1.21/1.34 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Var__eq__apps__conv_0,axiom,
% 1.21/1.34 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
% 1.21/1.34 | c_Lambda_OdB_OVar(V_m) = V_s ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_type_Orecs_I1_J_0,axiom,
% 1.21/1.34 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_apps__preserves__beta_0,axiom,
% 1.21/1.34 ( 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)))
% 1.21/1.34 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_nat__less__le_1,axiom,
% 1.21/1.34 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_less__not__refl_0,axiom,
% 1.21/1.34 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_order__less__le_1,axiom,
% 1.21/1.34 ( ~ class_Orderings_Oorder(T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_linorder__neq__iff_1,axiom,
% 1.21/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_order__less__irrefl_0,axiom,
% 1.21/1.34 ( ~ class_Orderings_Opreorder(T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_beta_0,axiom,
% 1.21/1.34 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)))) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 1.21/1.34 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.21/1.34 | V_x = V_y ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 1.21/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.21/1.34 | V_x = V_y
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_nat__neq__iff_0,axiom,
% 1.21/1.34 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.21/1.34 | V_m = V_n ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_nat__less__cases_0,axiom,
% 1.21/1.34 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 1.21/1.34 | V_m = V_n
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_linorder__neqE__nat_0,axiom,
% 1.21/1.34 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.21/1.34 | V_x = V_y ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_linorder__neqE_0,axiom,
% 1.21/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.21/1.34 | V_x = V_y ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_linorder__less__linear_0,axiom,
% 1.21/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.21/1.34 | V_x = V_y
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_linorder__antisym__conv3_0,axiom,
% 1.21/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.21/1.34 | V_x = V_y
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.21/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I2_J_1,axiom,
% 1.21/1.34 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 1.21/1.34 | V_dB2 = V_dB2_H ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I2_J_0,axiom,
% 1.21/1.34 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
% 1.21/1.34 | V_dB1 = V_dB1_H ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom,
% 1.21/1.34 ( 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)
% 1.21/1.34 | V_rs = V_ss ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom,
% 1.21/1.34 ( 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)
% 1.21/1.34 | V_r = V_s ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_apps__eq__Abs__conv_0,axiom,
% 1.21/1.34 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r)
% 1.21/1.34 | V_s = c_Lambda_OdB_OAbs(V_r) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_list_Osimps_I2_J_0,axiom,
% 1.21/1.34 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_gr0I_0,axiom,
% 1.21/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 1.21/1.34 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Orecs_I3_J_0,axiom,
% 1.21/1.34 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)) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_neq0__conv_1,axiom,
% 1.21/1.34 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_list__app__typeD_1,axiom,
% 1.21/1.34 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts))
% 1.21/1.34 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_subst__lt_0,axiom,
% 1.21/1.34 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osplit_2,axiom,
% 1.21/1.34 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a)))
% 1.21/1.34 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osplit__asm_2,axiom,
% 1.21/1.34 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a)))
% 1.21/1.34 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_subst__Var__IT_0,axiom,
% 1.21/1.34 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))
% 1.21/1.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__self__conv_0,axiom,
% 1.21/1.34 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 1.21/1.34 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_self__append__conv_0,axiom,
% 1.21/1.34 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 1.21/1.34 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__self__conv2_0,axiom,
% 1.21/1.34 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 1.21/1.34 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_self__append__conv2_0,axiom,
% 1.21/1.34 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 1.21/1.34 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__eq__Cons__conv_4,axiom,
% 1.21/1.34 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) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osplit_1,axiom,
% 1.21/1.34 ( ~ 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)))
% 1.21/1.34 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osplit__asm_1,axiom,
% 1.21/1.34 ( ~ 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)))
% 1.21/1.34 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_list_Oinject_0,axiom,
% 1.21/1.34 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 1.21/1.34 | V_a = V_a_H ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_list_Oinject_1,axiom,
% 1.21/1.34 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 1.21/1.34 | V_list = V_list_H ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom,
% 1.21/1.34 ( 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)
% 1.21/1.34 | V_rs = V_ss ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom,
% 1.21/1.34 ( 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)
% 1.21/1.34 | V_m = V_n ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I9_J_0,axiom,
% 1.21/1.34 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_var__app__typesE_1,axiom,
% 1.21/1.34 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts))
% 1.21/1.34 | ~ 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) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I8_J_0,axiom,
% 1.21/1.34 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_subst__App_0,axiom,
% 1.21/1.34 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)) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append1__eq__conv_0,axiom,
% 1.21/1.34 ( 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)
% 1.21/1.34 | V_xs = V_ys ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append1__eq__conv_1,axiom,
% 1.21/1.34 ( 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)
% 1.21/1.34 | V_x = V_y ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__is__Nil__conv_2,axiom,
% 1.21/1.34 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__assoc_0,axiom,
% 1.21/1.34 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) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__eq__appendI_0,axiom,
% 1.21/1.34 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) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__eq__append__conv2_4,axiom,
% 1.21/1.34 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) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_append__eq__append__conv2_5,axiom,
% 1.21/1.34 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) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_xt1_I9_J_0,axiom,
% 1.21/1.34 ( ~ class_Orderings_Oorder(T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 1.21/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_order__less__asym_0,axiom,
% 1.21/1.34 ( ~ class_Orderings_Opreorder(T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_order__less__asym_H_0,axiom,
% 1.21/1.34 ( ~ class_Orderings_Opreorder(T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_lift__type_0,axiom,
% 1.21/1.34 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)
% 1.21/1.34 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_type_Osimps_I4_J_0,axiom,
% 1.21/1.34 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_uT_0,axiom,
% 1.21/1.34 c_Type_Otyping(v_e____,v_u____,v_T____) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I7_J_0,axiom,
% 1.21/1.34 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I1_J_0,axiom,
% 1.21/1.34 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H)
% 1.21/1.34 | V_nat = V_nat_H ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osplit__asm_0,axiom,
% 1.21/1.34 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a)))
% 1.21/1.34 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osplit_0,axiom,
% 1.21/1.34 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a)))
% 1.21/1.34 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_typing__elims_I3_J_0,axiom,
% 1.21/1.34 ( 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))
% 1.21/1.34 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_subject__reduction_0,axiom,
% 1.21/1.34 ( c_Type_Otyping(V_e,V_t_H,V_T)
% 1.21/1.34 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H))
% 1.21/1.34 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_subst__eq_0,axiom,
% 1.21/1.34 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_type_Osimps_I2_J_0,axiom,
% 1.21/1.34 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 1.21/1.34 | V_type1 = V_type1_H ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_type_Osimps_I2_J_1,axiom,
% 1.21/1.34 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
% 1.21/1.34 | V_type2 = V_type2_H ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_foldr_Osimps_I2_J_0,axiom,
% 1.21/1.34 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)) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_var__app__types_0,axiom,
% 1.21/1.34 ( 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)
% 1.21/1.34 | ~ 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)
% 1.21/1.34 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 1.21/1.34 | ~ 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) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_shift__gt_0,axiom,
% 1.21/1.34 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j)
% 1.21/1.34 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_type__induct_1,axiom,
% 1.21/1.34 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 1.21/1.34 | hBOOL(hAPP(V_P,V_T))
% 1.21/1.34 | hBOOL(hAPP(V_P,V_T2)) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_type__induct_0,axiom,
% 1.21/1.34 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x)
% 1.21/1.34 | hBOOL(hAPP(V_P,V_T))
% 1.21/1.34 | hBOOL(hAPP(V_P,V_T1a)) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_beta__cases_I1_J_0,axiom,
% 1.21/1.34 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_App_0,axiom,
% 1.21/1.34 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)
% 1.21/1.34 | ~ c_Type_Otyping(V_env,V_t,V_T)
% 1.21/1.34 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_var__app__type__eq_0,axiom,
% 1.21/1.34 ( V_T = V_U
% 1.21/1.34 | ~ 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)
% 1.21/1.34 | ~ 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) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Orecs_I1_J_0,axiom,
% 1.21/1.34 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I4_J_0,axiom,
% 1.21/1.34 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_MI2_0,axiom,
% 1.21/1.34 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 1.21/1.34 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 1.21/1.34 | ~ c_Type_Otyping(V_e,V_u,V_T2)
% 1.21/1.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 1.21/1.34 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta)
% 1.21/1.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_MI1_0,axiom,
% 1.21/1.34 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2)
% 1.21/1.34 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i)))
% 1.21/1.34 | ~ c_Type_Otyping(V_e,V_u,V_T1)
% 1.21/1.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))
% 1.21/1.34 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta)
% 1.21/1.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_shift__eq_0,axiom,
% 1.21/1.34 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Abs_0,axiom,
% 1.21/1.34 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U))
% 1.21/1.34 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_True_0,axiom,
% 1.21/1.34 v_n____ = v_i____ ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_dB_Osimps_I6_J_0,axiom,
% 1.21/1.34 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Var__IT_0,axiom,
% 1.21/1.34 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_typing__elims_I1_J_0,axiom,
% 1.21/1.34 ( hAPP(V_e,V_i) = V_T
% 1.21/1.34 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_foldr__append_0,axiom,
% 1.21/1.34 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) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Var_I2_J_0,axiom,
% 1.21/1.34 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______) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_headT_0,axiom,
% 1.21/1.34 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)) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_argsT_0,axiom,
% 1.21/1.34 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_list__app__typeE_0,axiom,
% 1.21/1.34 ( 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))
% 1.21/1.34 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_Var_I4_J_0,axiom,
% 1.21/1.34 c_Type_Otyping(v_ea______,v_ua______,v_T____) ).
% 1.21/1.34
% 1.21/1.34 cnf(cls_var__app__typesE_0,axiom,
% 1.21/1.34 ( 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))
% 1.21/1.34 | ~ 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) ) ).
% 1.21/1.34
% 1.34/1.34 cnf(cls_nT_0,axiom,
% 1.34/1.34 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____) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_list__app__typeI_0,axiom,
% 1.34/1.34 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)
% 1.34/1.34 | ~ c_Type_Otypings(V_e,V_ts,V_Ts)
% 1.34/1.34 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_dB_Osimps_I10_J_0,axiom,
% 1.34/1.34 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_foldr_Osimps_I1_J_0,axiom,
% 1.34/1.34 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_type_Orecs_I2_J_0,axiom,
% 1.34/1.34 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)) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_type_Osimps_I6_J_0,axiom,
% 1.34/1.34 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) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_that_0,axiom,
% 1.34/1.34 ( v_thesis____
% 1.34/1.34 | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,V_T_H_H)
% 1.34/1.34 | ~ 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))) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_typing_OVar_0,axiom,
% 1.34/1.34 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_type_Osplit__asm_1,axiom,
% 1.34/1.34 ( ~ 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)))
% 1.34/1.34 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_type_Osplit_1,axiom,
% 1.34/1.34 ( ~ 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)))
% 1.34/1.34 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_type_Osimps_I3_J_0,axiom,
% 1.34/1.34 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_list__app__typeD_0,axiom,
% 1.34/1.34 ( 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))
% 1.34/1.34 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_subst__lemma_0,axiom,
% 1.34/1.34 ( ~ c_Type_Otyping(V_e_H,V_u,V_U)
% 1.34/1.34 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T)
% 1.34/1.34 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_typing__elims_I2_J_0,axiom,
% 1.34/1.34 ( 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))
% 1.34/1.34 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_dB_Osimps_I5_J_0,axiom,
% 1.34/1.34 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_CHAINED_0,axiom,
% 1.34/1.34 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)) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_conjecture_0,negated_conjecture,
% 1.34/1.34 ~ v_thesis____ ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 1.34/1.34 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 1.34/1.34 | ~ class_Orderings_Opreorder(T_1) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 1.34/1.34 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 1.34/1.34 | ~ class_Orderings_Oorder(T_1) ) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.34/1.34 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.34/1.34 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 1.34/1.34 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.34/1.34 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.34/1.34 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 1.34/1.34 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.34/1.34 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 1.34/1.34 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.34/1.34 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
% 1.34/1.34 class_OrderedGroup_Osemigroup__add(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
% 1.34/1.34 class_Ring__and__Field_Osemiring__1(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 1.34/1.34 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
% 1.34/1.34 class_Nat_Osemiring__char__0(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 1.34/1.34 class_Orderings_Opreorder(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 1.34/1.34 class_Orderings_Olinorder(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 1.34/1.34 class_Orderings_Oorder(tc_nat) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 1.34/1.34 class_Orderings_Opreorder(tc_bool) ).
% 1.34/1.34
% 1.34/1.34 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 1.34/1.34 class_Orderings_Oorder(tc_bool) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 1.34/1.34 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 1.34/1.34
% 1.34/1.34 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 1.34/1.34 ( V_X = V_Y
% 1.34/1.34 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 1.34/1.34
% 1.34/1.34 %------------------------------------------------------------------------------
% 1.34/1.34 %-------------------------------------------
% 1.34/1.34 % Proof found
% 1.34/1.34 % SZS status Theorem for theBenchmark
% 1.34/1.34 % SZS output start Proof
% 1.34/1.34 %ClaNum:541(EqnAxiom:163)
% 1.34/1.34 %VarNum:2320(SingletonVarNum:996)
% 1.34/1.34 %MaxLitNum:6
% 1.34/1.34 %MaxfuncDepth:5
% 1.34/1.34 %SharedTerms:69
% 1.34/1.34 %goalClause: 279
% 1.34/1.34 %singleGoalClaCount:1
% 1.34/1.34 [164]E(a1,a61)
% 1.34/1.34 [165]P1(a2)
% 1.34/1.34 [166]P2(a2)
% 1.34/1.34 [167]P3(a2)
% 1.34/1.34 [168]P13(a2)
% 1.34/1.34 [169]P14(a2)
% 1.34/1.34 [170]P15(a2)
% 1.34/1.34 [171]P17(a2)
% 1.34/1.34 [172]P4(a2)
% 1.34/1.34 [173]P18(a2)
% 1.34/1.34 [174]P19(a2)
% 1.34/1.34 [175]P24(a2)
% 1.34/1.34 [176]P20(a2)
% 1.34/1.34 [177]P27(a2)
% 1.34/1.34 [178]P21(a2)
% 1.34/1.34 [179]P21(a3)
% 1.34/1.34 [180]P23(a2)
% 1.34/1.34 [181]P23(a3)
% 1.34/1.34 [182]P22(a2)
% 1.34/1.34 [195]P5(a59,a63,a54)
% 1.34/1.34 [196]P5(a60,a65,a54)
% 1.34/1.34 [279]~P29(a500)
% 1.34/1.34 [187]P28(f26(a6,a63))
% 1.34/1.34 [188]P28(f26(a6,a65))
% 1.34/1.34 [194]E(f19(a53,a58,a49),a64)
% 1.34/1.34 [254]P9(f36(a59,a1,a54,a51),a58,a57)
% 1.34/1.34 [270]P5(f36(a59,a1,a54,a51),f21(a10,f9(a61),a64,a49,a49),a55)
% 1.34/1.34 [271]P5(f36(a60,a62,a54,a51),f21(a10,f9(a61),a64,a49,a49),a56)
% 1.34/1.34 [273]P5(f36(a59,a1,a54,a51),f26(f26(a10,f9(a61)),a53),f22(a46,a57,a55,a51,a51))
% 1.34/1.34 [289]~P7(x2891,x2891,a2)
% 1.34/1.34 [293]~P7(x2931,f7(a2),a2)
% 1.34/1.34 [184]E(f25(f4(x1841),x1841),f4(x1841))
% 1.34/1.34 [185]E(f23(f4(x1851),x1851),f4(x1851))
% 1.34/1.34 [186]E(f5(f4(x1861),x1861),f4(x1861))
% 1.34/1.34 [189]E(f27(f4(x1891),f48(x1891)),f7(a2))
% 1.34/1.34 [190]P28(f26(a6,f9(x1901)))
% 1.34/1.34 [209]E(f33(f34(x2091),x2091,x2091),f34(x2091))
% 1.34/1.34 [299]~P7(f7(a2),f27(f4(x2991),f48(x2991)),a2)
% 1.34/1.34 [198]P6(x1981,f4(x1982),x1982)
% 1.34/1.34 [215]P5(x2151,f9(x2152),f26(x2151,x2152))
% 1.34/1.34 [281]~E(f9(x2811),f12(x2812))
% 1.34/1.34 [193]E(f23(f23(x1931,x1932),x1932),x1931)
% 1.34/1.34 [197]E(f32(f32(x1971,x1972),x1972),f32(x1971,x1972))
% 1.34/1.34 [202]E(f13(x2021,f4(x2022),x2022),x2021)
% 1.34/1.34 [203]E(f13(f4(x2031),x2032,x2031),x2032)
% 1.34/1.34 [204]E(f14(f9(x2041),x2042,x2041),x2042)
% 1.34/1.34 [206]E(f24(f7(a2),x2061,x2062),f4(x2062))
% 1.34/1.34 [207]E(f28(f7(a2),x2071,x2072),f4(x2072))
% 1.34/1.34 [208]E(f28(x2081,f4(x2082),x2082),f4(x2082))
% 1.34/1.34 [210]E(f27(f25(x2101,x2102),f48(x2102)),f27(x2101,f48(x2102)))
% 1.34/1.34 [211]E(f27(f23(x2111,x2112),f48(x2112)),f27(x2111,f48(x2112)))
% 1.34/1.34 [216]P28(f26(f26(f34(x2161),x2162),x2162))
% 1.34/1.34 [219]E(f20(f19(x2191,f4(x2192),x2192),x2192),x2191)
% 1.34/1.34 [220]E(f5(f19(x2201,f4(x2202),x2202),x2202),f4(x2202))
% 1.34/1.34 [221]E(f20(f13(x2211,f4(x2212),x2212),x2212),f20(x2211,x2212))
% 1.34/1.34 [222]E(f5(f13(x2221,f4(x2222),x2222),x2222),f5(x2221,x2222))
% 1.34/1.34 [229]E(f23(f19(x2291,f4(x2292),x2292),x2292),f19(x2291,f4(x2292),x2292))
% 1.34/1.34 [257]P28(f26(f26(a11,f26(f26(a10,f12(x2571)),x2572)),f14(x2571,x2572,f7(a2))))
% 1.34/1.34 [298]~P28(f26(f26(a11,f9(x2981)),x2982))
% 1.34/1.34 [291]~E(f19(x2911,x2912,x2913),x2912)
% 1.34/1.34 [296]~E(f19(x2961,x2962,x2963),f4(x2963))
% 1.34/1.34 [300]~P8(x3001,x3002,f4(x3003),x3003)
% 1.34/1.34 [301]~P8(x3011,f4(x3012),x3013,x3012)
% 1.34/1.34 [214]E(f14(f15(x2141,x2142),x2143,x2142),x2141)
% 1.34/1.34 [217]E(f24(f7(a2),x2171,x2172),f24(f7(a2),x2173,x2172))
% 1.34/1.34 [218]E(f27(f24(x2181,x2182,x2183),f48(x2183)),x2181)
% 1.34/1.34 [223]E(f33(f33(x2231,x2232,x2233),x2233,x2232),x2231)
% 1.34/1.34 [225]E(f23(f24(x2251,x2252,x2253),x2253),f24(x2251,x2252,x2253))
% 1.34/1.34 [230]E(f28(f27(x2301,f48(x2302)),f13(x2301,x2303,x2302),x2302),x2301)
% 1.34/1.34 [234]E(f13(f23(x2341,x2342),f23(x2343,x2342),x2342),f23(f13(x2343,x2341,x2342),x2342))
% 1.34/1.34 [282]~E(f12(x2821),f26(f26(a10,x2822),x2823))
% 1.34/1.34 [283]~E(f9(x2831),f26(f26(a10,x2832),x2833))
% 1.34/1.34 [284]~E(f35(x2841),f26(f26(a46,x2842),x2843))
% 1.34/1.34 [285]~E(f26(f26(a10,x2851),x2852),f12(x2853))
% 1.34/1.34 [286]~E(f26(f26(a10,x2861),x2862),f9(x2863))
% 1.34/1.34 [287]~E(f26(f26(a46,x2871),x2872),f35(x2873))
% 1.34/1.34 [227]P28(f26(f26(f32(x2271,x2272),x2273),x2273))
% 1.34/1.34 [231]E(f26(f26(a10,f15(x2311,x2312)),f15(x2313,x2312)),f15(f26(f26(a10,x2311),x2313),x2312))
% 1.34/1.34 [237]E(f13(x2371,f19(x2372,f4(x2373),x2373),x2373),f25(f19(x2372,x2371,x2373),x2373))
% 1.34/1.34 [238]E(f13(f23(x2381,x2382),f19(x2383,f4(x2382),x2382),x2382),f23(f19(x2383,x2381,x2382),x2382))
% 1.34/1.34 [250]E(f13(f24(x2501,x2502,x2503),f19(x2502,f4(x2503),x2503),x2503),f19(x2502,f24(x2501,x2502,x2503),x2503))
% 1.34/1.34 [248]E(f20(f13(x2481,f19(x2482,f4(x2483),x2483),x2483),x2483),x2482)
% 1.34/1.34 [249]E(f5(f13(x2491,f19(x2492,f4(x2493),x2493),x2493),x2493),x2491)
% 1.34/1.34 [251]E(f23(f13(f23(x2511,x2512),f19(x2513,f4(x2512),x2512),x2512),x2512),f19(x2513,x2511,x2512))
% 1.34/1.34 [235]E(f45(x2351,x2352,f35(x2353),x2354),f26(x2351,x2353))
% 1.34/1.34 [236]E(f47(x2361,x2362,f35(x2363),x2364),f26(x2361,x2363))
% 1.34/1.34 [244]E(f19(x2441,f13(x2442,x2443,x2444),x2444),f13(f19(x2441,x2442,x2444),x2443,x2444))
% 1.34/1.34 [246]E(f13(f13(x2461,x2462,x2463),x2464,x2463),f13(x2461,f13(x2462,x2464,x2463),x2463))
% 1.34/1.34 [253]E(f26(f36(x2531,x2532,x2533,x2534),x2532),x2533)
% 1.34/1.34 [255]E(f13(f24(x2551,x2552,x2553),f24(x2554,x2552,x2553),x2553),f13(f24(x2554,x2552,x2553),f24(x2551,x2552,x2553),x2553))
% 1.34/1.34 [258]E(f21(x2581,x2582,f4(x2583),x2584,x2583),x2582)
% 1.34/1.34 [259]E(f22(x2591,f4(x2592),x2593,x2592,x2594),x2593)
% 1.34/1.34 [303]~E(f21(a10,f9(x3031),x3032,a49,a49),f21(a10,f12(x3033),x3034,a49,a49))
% 1.34/1.34 [252]E(f26(f26(a10,f14(x2521,x2522,x2523)),f14(x2524,x2522,x2523)),f14(f26(f26(a10,x2521),x2524),x2522,x2523))
% 1.34/1.34 [256]E(f19(x2561,f13(f24(x2562,x2561,x2563),x2564,x2563),x2563),f13(f24(x2562,x2561,x2563),f19(x2561,x2564,x2563),x2563))
% 1.34/1.34 [302]~E(f26(f26(a10,f12(x3021)),x3022),f21(a10,f9(x3023),x3024,a49,a49))
% 1.34/1.34 [263]E(f16(x2631,x2632,x2633,f9(x2634),x2635),f26(x2631,x2634))
% 1.34/1.34 [264]E(f17(x2641,x2642,x2643,f12(x2644),x2645),f26(x2643,x2644))
% 1.34/1.34 [265]E(f17(x2651,x2652,x2653,f9(x2654),x2655),f26(x2651,x2654))
% 1.34/1.34 [274]E(f26(f26(x2741,x2742),f16(x2743,x2744,x2741,x2742,x2745)),f16(x2743,x2744,x2741,f12(x2742),x2745))
% 1.34/1.34 [247]E(f45(x2471,x2472,f26(f26(a46,x2473),x2474),x2475),f26(f26(x2472,x2473),x2474))
% 1.34/1.34 [268]E(f26(f26(f26(f26(x2681,x2682),x2683),f47(x2684,x2681,x2682,x2685)),f47(x2684,x2681,x2683,x2685)),f47(x2684,x2681,f26(f26(a46,x2682),x2683),x2685))
% 1.34/1.34 [275]E(f22(x2751,f19(x2752,x2753,x2754),x2755,x2754,x2756),f26(f26(x2751,x2752),f22(x2751,x2753,x2755,x2754,x2756)))
% 1.34/1.34 [276]E(f21(x2761,f21(x2761,x2762,x2763,x2764,x2765),x2766,x2764,x2765),f21(x2761,x2762,f13(x2763,x2766,x2765),x2764,x2765))
% 1.34/1.34 [277]E(f22(x2771,x2772,f22(x2771,x2773,x2774,x2775,x2776),x2775,x2776),f22(x2771,f13(x2772,x2773,x2775),x2774,x2775,x2776))
% 1.34/1.34 [267]E(f17(x2671,x2672,x2673,f26(f26(a10,x2674),x2675),x2676),f26(f26(x2672,x2674),x2675))
% 1.34/1.34 [269]E(f21(x2691,x2692,f19(x2693,x2694,x2695),x2696,x2695),f21(x2691,f26(f26(x2691,x2692),x2693),x2694,x2696,x2695))
% 1.34/1.34 [278]E(f26(f26(f26(f26(x2781,x2782),x2783),f16(x2784,x2781,x2785,x2782,x2786)),f16(x2784,x2781,x2785,x2783,x2786)),f16(x2784,x2781,x2785,f26(f26(a10,x2782),x2783),x2786))
% 1.34/1.34 [316]E(x3161,f7(a2))+P7(f7(a2),x3161,a2)
% 1.34/1.34 [390]P11(f33(a11,a49,a49),x3901,a49)+~P28(f26(a6,x3901))
% 1.34/1.34 [402]~P11(f33(a11,a49,a49),x4021,a49)+P28(f26(a6,x4021))
% 1.34/1.34 [307]~P27(x3071)+E(f31(f7(a2),x3071),f7(x3071))
% 1.34/1.34 [325]~P16(x3251)+E(f26(f26(f8(x3251),f7(x3251)),f7(x3251)),f7(x3251))
% 1.34/1.34 [326]~P28(f26(a6,x3261))+P28(f26(a6,f12(x3261)))
% 1.34/1.34 [331]~P7(x3312,x3312,x3311)+~P21(x3311)
% 1.34/1.34 [332]~P7(x3322,x3322,x3321)+~P23(x3321)
% 1.34/1.34 [333]~P7(x3332,x3332,x3331)+~P22(x3331)
% 1.34/1.34 [304]E(x3041,x3042)+~E(f12(x3041),f12(x3042))
% 1.34/1.34 [305]E(x3051,x3052)+~E(f9(x3051),f9(x3052))
% 1.34/1.34 [306]E(x3061,x3062)+~E(f35(x3061),f35(x3062))
% 1.34/1.34 [309]~E(f25(x3091,x3092),f4(x3092))+E(x3091,f4(x3092))
% 1.34/1.34 [310]~E(f23(x3101,x3102),f4(x3102))+E(x3101,f4(x3102))
% 1.34/1.34 [311]~P21(x3112)+P21(f52(x3111,x3112))
% 1.34/1.34 [312]~P23(x3122)+P23(f52(x3121,x3122))
% 1.34/1.34 [369]~P24(x3691)+~P7(f31(x3692,x3691),f7(x3691),x3691)
% 1.34/1.34 [313]E(x3131,f4(x3132))+~E(f27(x3131,f48(x3132)),f7(a2))
% 1.34/1.34 [317]~P1(x3171)+E(f26(f26(f8(x3171),x3172),f7(x3171)),x3172)
% 1.34/1.34 [318]~P2(x3181)+E(f26(f26(f8(x3181),x3182),f7(x3181)),x3182)
% 1.34/1.34 [319]~P15(x3191)+E(f26(f26(f8(x3191),x3192),f7(x3191)),x3192)
% 1.34/1.34 [340]P28(f26(x3401,x3402))+~P28(f26(x3401,f37(x3401)))
% 1.34/1.34 [341]E(x3411,f4(x3412))+P7(f7(a2),f27(x3411,f48(x3412)),a2)
% 1.34/1.34 [345]~P7(x3451,x3452,a2)+E(f15(f9(x3451),x3452),f9(x3451))
% 1.34/1.34 [363]~P28(f26(a6,x3631))+P28(f26(a6,f15(x3631,x3632)))
% 1.34/1.34 [396]~P28(f26(f26(a11,x3961),x3962))+P28(f26(f26(a11,f12(x3961)),f12(x3962)))
% 1.34/1.34 [500]~P15(x5001)+E(f22(f8(x5001),x5002,f7(x5001),x5001,x5001),f21(f8(x5001),f7(x5001),x5002,x5001,x5001))
% 1.34/1.34 [321]~P1(x3211)+E(f26(f26(f8(x3211),f7(x3211)),x3212),x3212)
% 1.34/1.34 [322]~P2(x3221)+E(f26(f26(f8(x3221),f7(x3221)),x3222),x3222)
% 1.34/1.34 [323]~P15(x3231)+E(f26(f26(f8(x3231),f7(x3231)),x3232),x3232)
% 1.34/1.34 [399]~P28(f26(a6,x3991))+P28(f26(a6,f26(f26(a10,x3991),f9(x3992))))
% 1.34/1.34 [400]E(x4001,f4(x4002))+E(f13(f5(x4001,x4002),f19(f20(x4001,x4002),f4(x4002),x4002),x4002),x4001)
% 1.34/1.34 [440]P28(f26(f26(f32(a11,a49),f12(x4401)),f12(x4402)))+~P28(f26(f26(f32(a11,a49),x4401),x4402))
% 1.34/1.34 [520]~P6(a6,x5202,a49)+P28(f26(a6,f21(a10,f9(x5201),x5202,a49,a49)))
% 1.34/1.34 [314]E(x3141,x3142)+~E(f23(x3141,x3143),f23(x3142,x3143))
% 1.34/1.34 [329]~E(f13(x3293,x3291,x3292),x3293)+E(x3291,f4(x3292))
% 1.34/1.34 [330]~E(f13(x3301,x3303,x3302),x3303)+E(x3301,f4(x3302))
% 1.34/1.34 [335]~E(f24(x3351,x3352,x3353),f4(x3353))+E(x3351,f7(a2))
% 1.34/1.34 [338]~E(f13(x3383,x3381,x3382),f4(x3382))+E(x3381,f4(x3382))
% 1.34/1.34 [339]~E(f13(x3391,x3393,x3392),f4(x3392))+E(x3391,f4(x3392))
% 1.34/1.34 [348]~P5(x3481,f9(x3482),x3483)+E(f26(x3481,x3482),x3483)
% 1.34/1.34 [489]~E(f12(x4892),f21(a10,x4893,x4891,a49,a49))+E(x4891,f4(a49))
% 1.34/1.34 [490]~E(f9(x4902),f21(a10,x4903,x4901,a49,a49))+E(x4901,f4(a49))
% 1.34/1.34 [491]~E(f21(a10,x4912,x4911,a49,a49),f12(x4913))+E(x4911,f4(a49))
% 1.34/1.34 [492]E(x4921,f12(x4922))+~E(f21(a10,x4921,x4923,a49,a49),f12(x4922))
% 1.34/1.34 [493]E(f12(x4931),x4932)+~E(f12(x4931),f21(a10,x4932,x4933,a49,a49))
% 1.34/1.34 [494]E(f9(x4941),x4942)+~E(f9(x4941),f21(a10,x4942,x4943,a49,a49))
% 1.34/1.34 [511]E(x5111,x5112)+~E(f21(a10,x5111,x5113,a49,a49),f21(a10,x5112,x5113,a49,a49))
% 1.34/1.34 [366]E(x3661,f7(a2))+E(f20(f24(x3661,x3662,x3663),x3663),x3662)
% 1.34/1.34 [367]E(x3671,f4(x3672))+E(f20(f19(x3673,x3671,x3672),x3672),f20(x3671,x3672))
% 1.34/1.34 [368]E(x3681,f4(x3682))+E(f20(f13(x3683,x3681,x3682),x3682),f20(x3681,x3682))
% 1.34/1.34 [370]~P7(x3701,x3703,a2)+E(f14(f9(x3701),x3702,x3703),f9(x3701))
% 1.34/1.34 [381]~E(f23(x3811,x3813),f19(x3812,f4(x3813),x3813))+E(x3811,f19(x3812,f4(x3813),x3813))
% 1.34/1.34 [382]~E(f19(x3822,f4(x3823),x3823),f23(x3821,x3823))+E(x3821,f19(x3822,f4(x3823),x3823))
% 1.34/1.34 [393]E(x3931,f4(x3932))+E(f19(x3933,f5(x3931,x3932),x3932),f5(f19(x3933,x3931,x3932),x3932))
% 1.34/1.34 [394]E(x3941,f4(x3942))+E(f13(x3943,f5(x3941,x3942),x3942),f5(f13(x3943,x3941,x3942),x3942))
% 1.34/1.34 [408]~P7(x4081,f27(x4082,f48(x4083)),a2)+E(f28(x4081,f5(x4082,x4083),x4083),f28(x4081,x4082,x4083))
% 1.34/1.34 [422]~P28(f26(f26(a11,x4221),x4223))+P28(f26(f26(a11,f15(x4221,x4222)),f15(x4223,x4222)))
% 1.34/1.34 [441]~P5(x4412,f12(x4413),x4411)+E(f26(f26(a46,f40(x4411,x4412,x4413)),f42(x4411,x4412,x4413)),x4411)
% 1.34/1.34 [471]~P5(x4711,f12(x4713),x4712)+P5(f36(x4711,f7(a2),f40(x4712,x4711,x4713),a51),x4713,f42(x4712,x4711,x4713))
% 1.34/1.34 [495]E(f26(f26(a10,x4951),x4952),x4953)+~E(f26(f26(a10,x4951),x4952),f21(a10,x4953,f4(a49),a49,a49))
% 1.34/1.34 [499]~P3(x4991)+E(f22(f8(x4991),x4992,x4993,x4991,x4991),f21(f8(x4991),x4993,x4992,x4991,x4991))
% 1.34/1.34 [535]~P28(f26(f26(a11,x5351),x5353))+P28(f26(f26(a11,f21(a10,x5351,x5352,a49,a49)),f21(a10,x5353,x5352,a49,a49)))
% 1.34/1.34 [537]~P8(a11,x5372,x5373,a49)+P28(f26(f26(a11,f21(a10,x5371,x5372,a49,a49)),f21(a10,x5371,x5373,a49,a49)))
% 1.34/1.34 [350]~P1(x3501)+E(f26(f26(f8(x3501),x3502),x3503),f26(f26(f8(x3501),x3503),x3502))
% 1.34/1.34 [351]~P2(x3511)+E(f26(f26(f8(x3511),x3512),x3513),f26(f26(f8(x3511),x3513),x3512))
% 1.34/1.34 [371]E(x3711,x3712)+~P28(f26(f26(f34(x3713),x3711),x3712))
% 1.34/1.34 [410]~P28(f26(a6,x4101))+P28(f26(a6,f14(x4101,f9(x4102),x4103)))
% 1.34/1.34 [447]P28(f26(f26(f32(a11,a49),f15(x4471,x4472)),f15(x4473,x4472)))+~P28(f26(f26(f32(a11,a49),x4471),x4473))
% 1.34/1.34 [452]~P28(f26(f26(a11,x4521),x4523))+P28(f26(f26(a11,f26(f26(a10,x4521),x4522)),f26(f26(a10,x4523),x4522)))
% 1.34/1.34 [453]~P28(f26(f26(a11,x4532),x4533))+P28(f26(f26(a11,f26(f26(a10,x4531),x4532)),f26(f26(a10,x4531),x4533)))
% 1.34/1.34 [463]~P28(f26(f26(f32(a11,a49),x4631),x4633))+P28(f26(f26(f32(a11,a49),f26(f26(a10,x4631),x4632)),f26(f26(a10,x4633),x4632)))
% 1.34/1.34 [464]~P28(f26(f26(f32(a11,a49),x4642),x4643))+P28(f26(f26(f32(a11,a49),f26(f26(a10,x4641),x4642)),f26(f26(a10,x4641),x4643)))
% 1.34/1.34 [509]~P15(x5091)+E(f26(f26(f8(x5091),x5092),f22(f8(x5091),x5093,f7(x5091),x5091,x5091)),f21(f8(x5091),x5092,x5093,x5091,x5091))
% 1.34/1.34 [510]~P15(x5101)+E(f26(f26(f8(x5101),x5102),f21(f8(x5101),f7(x5101),x5103,x5101,x5101)),f21(f8(x5101),x5102,x5103,x5101,x5101))
% 1.34/1.34 [536]P28(f26(f26(f32(a11,a49),f21(a10,x5361,x5362,a49,a49)),f21(a10,x5363,x5362,a49,a49)))+~P28(f26(f26(f32(a11,a49),x5361),x5363))
% 1.34/1.34 [538]P8(a11,x5381,f18(x5382,x5381,x5383),a49)+~P28(f26(f26(a11,f21(a10,f9(x5382),x5381,a49,a49)),x5383))
% 1.34/1.34 [540]E(f21(a10,f9(x5401),f18(x5401,x5402,x5403),a49,a49),x5403)+~P28(f26(f26(a11,f21(a10,f9(x5401),x5402,a49,a49)),x5403))
% 1.34/1.34 [373]E(x3731,x3732)+~E(f13(x3733,x3731,x3734),f13(x3733,x3732,x3734))
% 1.34/1.34 [376]E(x3761,x3762)+~E(f13(x3761,x3763,x3764),f13(x3762,x3763,x3764))
% 1.34/1.34 [411]P6(x4111,x4112,x4113)+~P6(x4111,f13(x4114,x4112,x4113),x4113)
% 1.34/1.34 [412]P6(x4121,x4122,x4123)+~P6(x4121,f13(x4122,x4124,x4123),x4123)
% 1.34/1.34 [517]P9(x5171,x5172,f38(x5173,x5171,x5174,x5172))+~P5(x5171,f21(a10,x5174,x5172,a49,a49),x5173)
% 1.34/1.34 [518]P9(x5181,x5182,f39(x5183,x5181,x5184,x5182))+~P5(x5181,f21(a10,x5184,x5182,a49,a49),x5183)
% 1.34/1.34 [353]E(x3531,x3532)+~E(f26(f26(a10,x3533),x3531),f26(f26(a10,x3534),x3532))
% 1.34/1.34 [354]E(x3541,x3542)+~E(f26(f26(a46,x3543),x3541),f26(f26(a46,x3544),x3542))
% 1.34/1.34 [355]E(x3551,x3552)+~E(f26(f26(a10,x3551),x3553),f26(f26(a10,x3552),x3554))
% 1.34/1.34 [356]E(x3561,x3562)+~E(f26(f26(a46,x3561),x3563),f26(f26(a46,x3562),x3564))
% 1.34/1.34 [459]P5(x4591,x4592,f41(x4593,x4591,x4594,x4592))+~P5(x4591,f26(f26(a10,x4594),x4592),x4593)
% 1.34/1.34 [462]~P28(f26(f26(a11,x4621),x4624))+P28(f26(f26(a11,f14(x4621,x4622,x4623)),f14(x4624,x4622,x4623)))
% 1.34/1.34 [470]P28(f26(f26(f32(a11,a49),f14(x4701,x4702,x4703)),f14(x4701,x4704,x4703)))+~P28(f26(f26(a11,x4702),x4704))
% 1.34/1.34 [473]P5(x4731,f12(x4732),f26(f26(a46,x4733),x4734))+~P5(f36(x4731,f7(a2),x4733,a51),x4732,x4734)
% 1.34/1.34 [513]E(x5131,x5132)+~E(f21(a10,f12(x5133),x5131,a49,a49),f21(a10,f12(x5134),x5132,a49,a49))
% 1.34/1.34 [514]E(x5141,x5142)+~E(f21(a10,f9(x5143),x5141,a49,a49),f21(a10,f9(x5144),x5142,a49,a49))
% 1.34/1.34 [515]E(x5151,x5152)+~E(f21(a10,f12(x5151),x5153,a49,a49),f21(a10,f12(x5152),x5154,a49,a49))
% 1.34/1.34 [516]E(x5161,x5162)+~E(f21(a10,f9(x5161),x5163,a49,a49),f21(a10,f9(x5162),x5164,a49,a49))
% 1.34/1.34 [519]P9(x5191,x5192,f43(x5193,x5191,x5194,x5192))+~P5(x5191,f21(a10,f9(x5194),x5192,a49,a49),x5193)
% 1.34/1.34 [522]~P5(x5221,f21(a10,x5222,x5224,a49,a49),x5223)+P5(x5221,x5222,f22(a46,f38(x5223,x5221,x5222,x5224),x5223,a51,a51))
% 1.34/1.34 [523]~P5(x5231,f21(a10,x5232,x5234,a49,a49),x5233)+P5(x5231,x5232,f22(a46,f39(x5233,x5231,x5232,x5234),x5233,a51,a51))
% 1.34/1.34 [524]~P5(x5241,f21(a10,f9(x5242),x5244,a49,a49),x5243)+P5(x5241,f9(x5242),f22(a46,f43(x5243,x5241,x5242,x5244),x5243,a51,a51))
% 1.34/1.34 [409]~E(f23(x4091,x4093),f19(x4094,x4092,x4093))+E(x4091,f13(f23(x4092,x4093),f19(x4094,f4(x4093),x4093),x4093))
% 1.34/1.34 [413]~P28(f26(f26(x4131,x4133),x4134))+P28(f26(f26(f32(x4131,x4132),x4133),x4134))
% 1.34/1.34 [475]P28(f26(f26(f32(a11,a49),f14(x4751,x4752,x4753)),f14(x4754,x4752,x4753)))+~P28(f26(f26(f32(a11,a49),x4751),x4754))
% 1.34/1.34 [476]P28(f26(f26(f32(a11,a49),f14(x4761,x4762,x4763)),f14(x4761,x4764,x4763)))+~P28(f26(f26(f32(a11,a49),x4762),x4764))
% 1.34/1.34 [485]P28(f26(x4851,f26(x4852,x4853)))+~P28(f26(x4851,f45(x4852,x4854,f35(x4853),a50)))
% 1.34/1.34 [498]~P5(x4981,f26(f26(a10,x4982),x4984),x4983)+P5(x4981,x4982,f26(f26(a46,f41(x4983,x4981,x4982,x4984)),x4983))
% 1.34/1.34 [414]~P1(x4141)+E(f26(f26(f8(x4141),x4142),f26(f26(f8(x4141),x4143),x4144)),f26(f26(f8(x4141),x4143),f26(f26(f8(x4141),x4142),x4144)))
% 1.34/1.34 [415]~P12(x4151)+E(f26(f26(f8(x4151),x4152),f26(f26(f8(x4151),x4153),x4154)),f26(f26(f8(x4151),x4153),f26(f26(f8(x4151),x4152),x4154)))
% 1.34/1.34 [416]~P2(x4161)+E(f26(f26(f8(x4161),x4162),f26(f26(f8(x4161),x4163),x4164)),f26(f26(f8(x4161),x4163),f26(f26(f8(x4161),x4162),x4164)))
% 1.34/1.34 [481]~P28(f26(f26(f32(x4811,x4812),x4814),x4813))+P28(f26(f26(f32(f33(x4811,x4812,x4812),x4812),x4813),x4814))
% 1.34/1.34 [488]P28(f26(f26(f32(x4881,x4882),x4883),x4884))+~P28(f26(f26(f32(f33(x4881,x4882,x4882),x4882),x4884),x4883))
% 1.34/1.34 [512]~P17(x5121)+E(f21(f8(x5121),f26(f26(f8(x5121),x5122),x5123),x5124,x5121,x5121),f26(f26(f8(x5121),x5122),f21(f8(x5121),x5123,x5124,x5121,x5121)))
% 1.34/1.34 [434]~P1(x4341)+E(f26(f26(f8(x4341),f26(f26(f8(x4341),x4342),x4343)),x4344),f26(f26(f8(x4341),x4342),f26(f26(f8(x4341),x4343),x4344)))
% 1.34/1.34 [435]~P2(x4351)+E(f26(f26(f8(x4351),f26(f26(f8(x4351),x4352),x4353)),x4354),f26(f26(f8(x4351),x4352),f26(f26(f8(x4351),x4353),x4354)))
% 1.34/1.34 [436]~P3(x4361)+E(f26(f26(f8(x4361),f26(f26(f8(x4361),x4362),x4363)),x4364),f26(f26(f8(x4361),x4362),f26(f26(f8(x4361),x4363),x4364)))
% 1.34/1.34 [444]~P1(x4441)+E(f26(f26(f8(x4441),f26(f26(f8(x4441),x4442),x4443)),x4444),f26(f26(f8(x4441),f26(f26(f8(x4441),x4442),x4444)),x4443))
% 1.34/1.34 [372]E(x3721,x3722)+~E(f19(x3723,x3721,x3724),f19(x3725,x3722,x3724))
% 1.34/1.34 [374]E(x3741,x3742)+~E(f24(x3741,x3743,x3744),f24(x3742,x3745,x3744))
% 1.34/1.34 [375]E(x3751,x3752)+~E(f19(x3751,x3753,x3754),f19(x3752,x3755,x3754))
% 1.34/1.34 [456]~P5(x4561,x4564,x4565)+P5(f36(x4561,x4562,x4563,a51),f15(x4564,x4562),x4565)
% 1.34/1.34 [465]~P8(x4651,x4653,x4655,x4654)+P8(x4651,f19(x4652,x4653,x4654),f19(x4652,x4655,x4654),x4654)
% 1.34/1.34 [466]~P8(x4661,x4662,x4665,x4664)+P8(x4661,f13(x4662,x4663,x4664),f13(x4665,x4663,x4664),x4664)
% 1.34/1.34 [467]~P8(x4671,x4673,x4675,x4674)+P8(x4671,f13(x4672,x4673,x4674),f13(x4672,x4675,x4674),x4674)
% 1.34/1.34 [448]P8(x4481,f19(x4482,x4483,x4484),f19(x4485,x4483,x4484),x4484)+~P28(f26(f26(x4481,x4482),x4485))
% 1.34/1.34 [449]~P7(x4495,x4492,a2)+E(f26(f36(x4491,x4492,x4493,x4494),x4495),f26(x4491,x4495))
% 1.34/1.34 [445]E(x4451,x4452)+~E(f13(x4453,f19(x4451,f4(x4454),x4454),x4454),f13(x4455,f19(x4452,f4(x4454),x4454),x4454))
% 1.34/1.34 [446]E(x4461,x4462)+~E(f13(x4461,f19(x4463,f4(x4464),x4464),x4464),f13(x4462,f19(x4465,f4(x4464),x4464),x4464))
% 1.34/1.34 [455]~P28(f26(f26(x4551,x4555),x4554))+P28(f26(f26(f33(x4551,x4552,x4553),x4554),x4555))
% 1.34/1.34 [469]P28(f26(f26(x4691,x4692),x4693))+~P28(f26(f26(f33(x4691,x4694,x4695),x4693),x4692))
% 1.34/1.34 [527]P28(f26(x5271,f26(x5272,x5273)))+~P28(f26(x5271,f17(x5274,x5275,x5272,f12(x5273),a50)))
% 1.34/1.34 [529]P28(f26(x5291,f26(x5292,x5293)))+~P28(f26(x5291,f17(x5292,x5294,x5295,f9(x5293),a50)))
% 1.34/1.34 [457]~P1(x4571)+E(f26(f26(f8(x4571),f26(f26(f8(x4571),x4572),x4573)),f26(f26(f8(x4571),x4574),x4575)),f26(f26(f8(x4571),f26(f26(f8(x4571),x4572),x4574)),f26(f26(f8(x4571),x4573),x4575)))
% 1.34/1.34 [497]P28(f26(x4971,f26(f26(x4972,x4973),x4974)))+~P28(f26(x4971,f45(x4975,x4972,f26(f26(a46,x4973),x4974),a50)))
% 1.34/1.34 [532]P28(f26(x5321,f26(f26(x5322,x5323),x5324)))+~P28(f26(x5321,f17(x5325,x5322,x5326,f26(f26(a10,x5323),x5324),a50)))
% 1.34/1.34 [533]~P5(f36(a59,a1,a54,a51),a53,x5331)+~P5(f36(a59,a1,a54,a51),f9(a61),f26(f26(a46,x5331),f22(a46,a57,a55,a51,a51)))+P29(a500)
% 1.34/1.34 [347]E(x3471,x3472)+P7(x3472,x3471,a2)+P7(x3471,x3472,a2)
% 1.34/1.34 [388]~P24(x3881)+P7(f7(x3881),f31(x3882,x3881),x3881)+~P7(f7(a2),x3882,a2)
% 1.34/1.34 [392]~P24(x3922)+~P7(f7(x3922),f31(x3921,x3922),x3922)+P7(f7(a2),x3921,a2)
% 1.34/1.34 [324]~P25(x3241)+~P10(x3241)+E(f26(f26(f8(x3241),x3242),f7(x3241)),x3242)
% 1.34/1.34 [342]~P16(x3422)+E(x3421,f7(x3422))+~E(f26(f26(f8(x3422),x3421),x3421),f7(x3422))
% 1.34/1.34 [403]~P16(x4031)+~P7(f7(x4031),x4032,x4031)+P7(f7(x4031),f26(f26(f8(x4031),x4032),x4032),x4031)
% 1.34/1.34 [404]~P16(x4041)+~P7(x4042,f7(x4041),x4041)+P7(f26(f26(f8(x4041),x4042),x4042),f7(x4041),x4041)
% 1.34/1.34 [405]~P26(x4051)+~P7(x4052,f7(x4051),x4051)+P7(f26(f26(f8(x4051),x4052),x4052),f7(x4051),x4051)
% 1.34/1.34 [417]~P16(x4172)+P7(x4171,f7(x4172),x4172)+~P7(f26(f26(f8(x4172),x4171),x4171),f7(x4172),x4172)
% 1.34/1.34 [418]~P26(x4182)+P7(x4181,f7(x4182),x4182)+~P7(f26(f26(f8(x4182),x4181),x4181),f7(x4182),x4182)
% 1.34/1.34 [419]~P16(x4191)+P7(f7(x4191),x4192,x4191)+~P7(f7(x4191),f26(f26(f8(x4191),x4192),x4192),x4191)
% 1.34/1.34 [383]~P7(x3833,x3832,x3831)+~P21(x3831)+~P7(x3832,x3833,x3831)
% 1.34/1.34 [385]~P7(x3853,x3852,x3851)+~P23(x3851)+~P7(x3852,x3853,x3851)
% 1.34/1.34 [386]~P7(x3863,x3862,x3861)+~P22(x3861)+~P7(x3862,x3863,x3861)
% 1.34/1.34 [315]~P4(x3153)+E(x3151,x3152)+~E(f31(x3151,x3153),f31(x3152,x3153))
% 1.34/1.34 [343]~E(f28(x3433,x3431,x3432),f4(x3432))+E(x3431,f4(x3432))+E(x3433,f7(a2))
% 1.34/1.34 [391]~P24(x3912)+~P7(x3911,x3913,a2)+P7(f31(x3911,x3912),f31(x3913,x3912),x3912)
% 1.34/1.34 [395]~P24(x3953)+~P7(f31(x3951,x3953),f31(x3952,x3953),x3953)+P7(x3951,x3952,a2)
% 1.34/1.34 [362]E(x3621,x3622)+P7(x3622,x3621,a2)+E(f14(f9(x3621),x3623,x3622),f9(x3621))
% 1.34/1.34 [525]~P11(f33(a11,a49,a49),x5252,a49)+~P11(f33(a11,a49,a49),f21(a10,f14(x5251,x5252,f7(a2)),x5253,a49,a49),a49)+P11(f33(a11,a49,a49),f21(a10,f26(f26(a10,f12(x5251)),x5252),x5253,a49,a49),a49)
% 1.34/1.34 [534]~P28(f26(a6,x5342))+~P28(f26(a6,f21(a10,f14(x5341,x5342,f7(a2)),x5343,a49,a49)))+P28(f26(a6,f21(a10,f26(f26(a10,f12(x5341)),x5342),x5343,a49,a49)))
% 1.34/1.34 [420]~P6(x4201,x4203,x4204)+~P6(x4201,x4202,x4204)+P6(x4201,f13(x4202,x4203,x4204),x4204)
% 1.34/1.34 [364]P28(f26(x3641,x3642))+P28(f26(x3641,x3643))+~E(f37(x3641),f26(f26(a46,x3644),x3643))
% 1.34/1.34 [365]P28(f26(x3651,x3652))+P28(f26(x3651,x3653))+~E(f37(x3651),f26(f26(a46,x3653),x3654))
% 1.34/1.34 [401]P5(x4011,x4012,x4013)+~P5(x4011,x4014,x4013)+~P28(f26(f26(a11,x4014),x4012))
% 1.34/1.34 [407]P11(x4071,x4072,x4073)+~P11(x4071,x4074,x4073)+~P28(f26(f26(x4071,x4072),x4074))
% 1.34/1.34 [377]~P13(x3773)+E(x3771,x3772)+~E(f26(f26(f8(x3773),x3774),x3771),f26(f26(f8(x3773),x3774),x3772))
% 1.34/1.34 [378]~P14(x3783)+E(x3781,x3782)+~E(f26(f26(f8(x3783),x3784),x3781),f26(f26(f8(x3783),x3784),x3782))
% 1.34/1.34 [379]~P14(x3793)+E(x3791,x3792)+~E(f26(f26(f8(x3793),x3791),x3794),f26(f26(f8(x3793),x3792),x3794))
% 1.34/1.34 [423]~P18(x4231)+~P7(x4232,x4234,x4231)+P7(f26(f26(f8(x4231),x4232),x4233),f26(f26(f8(x4231),x4234),x4233),x4231)
% 1.34/1.34 [424]~P19(x4241)+~P7(x4242,x4244,x4241)+P7(f26(f26(f8(x4241),x4242),x4243),f26(f26(f8(x4241),x4244),x4243),x4241)
% 1.34/1.34 [425]~P18(x4251)+~P7(x4253,x4254,x4251)+P7(f26(f26(f8(x4251),x4252),x4253),f26(f26(f8(x4251),x4252),x4254),x4251)
% 1.34/1.34 [426]~P19(x4261)+~P7(x4263,x4264,x4261)+P7(f26(f26(f8(x4261),x4262),x4263),f26(f26(f8(x4261),x4262),x4264),x4261)
% 1.34/1.34 [430]P5(x4301,x4302,x4303)+~P5(x4301,x4304,x4303)+~P28(f26(f26(f32(a11,a49),x4304),x4302))
% 1.34/1.34 [438]P11(x4381,x4382,x4383)+~P11(x4381,x4384,x4383)+~P28(f26(f26(f32(x4381,x4383),x4382),x4384))
% 1.34/1.34 [442]~P19(x4423)+P7(x4421,x4422,x4423)+~P7(f26(f26(f8(x4423),x4424),x4421),f26(f26(f8(x4423),x4424),x4422),x4423)
% 1.34/1.34 [443]~P19(x4433)+P7(x4431,x4432,x4433)+~P7(f26(f26(f8(x4433),x4431),x4434),f26(f26(f8(x4433),x4432),x4434),x4433)
% 1.34/1.34 [477]~P28(f26(f26(f32(a11,a49),x4771),x4773))+~P28(f26(f26(f32(a11,a49),x4772),x4774))+P28(f26(f26(f32(a11,a49),f26(f26(a10,x4771),x4772)),f26(f26(a10,x4773),x4774)))
% 1.34/1.34 [380]E(x3801,x3802)+~E(f24(x3803,x3801,x3804),f24(x3805,x3802,x3804))+E(x3803,f7(a2))
% 1.34/1.34 [521]~P9(x5211,x5213,x5215)+~P5(x5211,x5212,f22(a46,x5215,x5214,a51,a51))+P5(x5211,f21(a10,x5212,x5213,a49,a49),x5214)
% 1.34/1.34 [431]~P5(x4311,x4313,x4315)+~P5(x4311,x4312,f26(f26(a46,x4315),x4314))+P5(x4311,f26(f26(a10,x4312),x4313),x4314)
% 1.34/1.34 [501]~E(f13(x5011,x5015,x5012),f19(x5013,x5014,x5012))+E(x5011,f4(x5012))+E(f19(x5013,f29(x5013,x5014,x5011,x5015,x5012),x5012),x5011)
% 1.34/1.34 [502]~E(f13(x5021,x5025,x5022),f19(x5023,x5024,x5022))+E(x5021,f4(x5022))+E(f13(f30(x5023,x5024,x5021,x5025,x5022),x5025,x5022),x5024)
% 1.34/1.34 [503]~E(f13(x5031,x5035,x5032),f19(x5033,x5034,x5032))+E(x5031,f4(x5032))+E(f19(x5033,f30(x5033,x5034,x5031,x5035,x5032),x5032),x5031)
% 1.34/1.34 [504]~E(f13(x5041,x5045,x5042),f19(x5043,x5044,x5042))+E(x5041,f4(x5042))+E(f13(f29(x5043,x5044,x5041,x5045,x5042),x5045,x5042),x5044)
% 1.34/1.34 [505]~E(f13(x5055,x5051,x5054),f19(x5052,x5053,x5054))+E(x5051,f19(x5052,x5053,x5054))+E(f19(x5052,f29(x5052,x5053,x5055,x5051,x5054),x5054),x5055)
% 1.34/1.34 [506]~E(f13(x5065,x5061,x5064),f19(x5062,x5063,x5064))+E(x5061,f19(x5062,x5063,x5064))+E(f13(f29(x5062,x5063,x5065,x5061,x5064),x5061,x5064),x5063)
% 1.34/1.34 [507]~E(f13(x5075,x5074,x5073),f19(x5071,x5072,x5073))+E(f19(x5071,x5072,x5073),x5074)+E(f13(f30(x5071,x5072,x5075,x5074,x5073),x5074,x5073),x5072)
% 1.34/1.34 [508]~E(f13(x5085,x5084,x5083),f19(x5081,x5082,x5083))+E(f19(x5081,x5082,x5083),x5084)+E(f19(x5081,f30(x5081,x5082,x5085,x5084,x5083),x5083),x5085)
% 1.34/1.34 [530]E(x5301,x5302)+~P5(x5303,f21(a10,f9(x5304),x5305,a49,a49),x5301)+~P5(x5303,f21(a10,f9(x5304),x5305,a49,a49),x5302)
% 1.34/1.34 [450]~P28(f26(f26(x4501,x4505),x4504))+~P28(f26(f26(f32(x4501,x4502),x4503),x4505))+P28(f26(f26(f32(x4501,x4502),x4503),x4504))
% 1.34/1.34 [451]~P28(f26(f26(x4511,x4513),x4515))+~P28(f26(f26(f32(x4511,x4512),x4515),x4514))+P28(f26(f26(f32(x4511,x4512),x4513),x4514))
% 1.34/1.34 [460]~P28(f26(f26(f32(x4601,x4602),x4603),x4605))+P28(f26(f26(f32(x4601,x4602),x4603),x4604))+~P28(f26(f26(f32(x4601,x4602),x4605),x4604))
% 1.34/1.34 [429]~P12(x4291)+E(f26(f26(f8(x4291),x4292),x4293),x4294)+~E(f26(f26(f8(x4291),x4292),f26(f26(f8(x4291),x4295),x4293)),f26(f26(f8(x4291),x4295),x4294))
% 1.34/1.34 [458]E(x4581,x4582)+E(x4583,x4584)+~P8(x4585,f19(x4584,x4582,x4586),f19(x4583,x4581,x4586),x4586)
% 1.34/1.34 [472]E(x4721,x4722)+P8(x4723,x4721,x4722,x4724)+~P8(x4723,f19(x4725,x4721,x4724),f19(x4726,x4722,x4724),x4724)
% 1.34/1.34 [478]~P5(x4781,x4783,x4786)+P5(x4781,f14(x4782,x4783,x4784),x4785)+~P5(f36(x4781,x4784,x4786,a51),x4782,x4785)
% 1.34/1.34 [461]E(x4611,x4612)+~P8(x4613,f19(x4612,x4614,x4615),f19(x4611,x4616,x4615),x4615)+P28(f26(f26(x4613,x4612),x4611))
% 1.34/1.34 [474]P8(x4741,x4742,x4743,x4744)+~P8(x4741,f19(x4745,x4742,x4744),f19(x4746,x4743,x4744),x4744)+P28(f26(f26(x4741,x4745),x4746))
% 1.34/1.34 [482]E(x4821,x4822)+E(x4823,x4824)+~P8(x4825,f13(x4823,f19(x4821,f4(x4826),x4826),x4826),f13(x4824,f19(x4822,f4(x4826),x4826),x4826),x4826)
% 1.34/1.34 [483]E(x4831,x4832)+~P8(x4833,f13(x4834,f19(x4831,f4(x4835),x4835),x4835),f13(x4836,f19(x4832,f4(x4835),x4835),x4835),x4835)+P28(f26(f26(x4833,x4831),x4832))
% 1.34/1.34 [486]E(x4861,x4862)+P8(x4863,x4861,x4862,x4864)+~P8(x4863,f13(x4861,f19(x4865,f4(x4864),x4864),x4864),f13(x4862,f19(x4866,f4(x4864),x4864),x4864),x4864)
% 1.34/1.34 [487]P8(x4871,x4872,x4873,x4874)+~P8(x4871,f13(x4872,f19(x4875,f4(x4874),x4874),x4874),f13(x4873,f19(x4876,f4(x4874),x4874),x4874),x4874)+P28(f26(f26(x4871,x4875),x4876))
% 1.34/1.34 [357]P7(x3571,x3572,x3573)+~P26(x3573)+E(x3571,x3572)+P7(x3572,x3571,x3573)
% 1.34/1.34 [361]P7(x3611,x3612,x3613)+~P22(x3613)+E(x3611,x3612)+P7(x3612,x3611,x3613)
% 1.34/1.34 [344]~P25(x3442)+~P10(x3442)+E(x3441,f7(x3442))+~E(f26(f26(f8(x3442),x3443),x3441),x3443)
% 1.34/1.34 [427]~P20(x4271)+~P7(f7(x4271),x4273,x4271)+~P7(f7(x4271),x4272,x4271)+P7(f7(x4271),f26(f26(f8(x4271),x4272),x4273),x4271)
% 1.34/1.34 [428]~P20(x4281)+~P7(x4283,f7(x4281),x4281)+~P7(x4282,f7(x4281),x4281)+P7(f26(f26(f8(x4281),x4282),x4283),f7(x4281),x4281)
% 1.34/1.34 [397]~P21(x3973)+~P7(x3971,x3974,x3973)+P7(x3971,x3972,x3973)+~P7(x3974,x3972,x3973)
% 1.34/1.34 [398]~P23(x3983)+~P7(x3981,x3984,x3983)+P7(x3981,x3982,x3983)+~P7(x3984,x3982,x3983)
% 1.34/1.34 [387]~P25(x3873)+~P10(x3873)+E(x3871,x3872)+~E(f26(f26(f8(x3873),x3874),x3871),f26(f26(f8(x3873),x3874),x3872))
% 1.34/1.34 [421]~P24(x4212)+~P7(x4211,x4214,x4212)+~P7(f7(x4212),x4213,x4212)+P7(x4211,f26(f26(f8(x4212),x4213),x4214),x4212)
% 1.34/1.34 [439]~P18(x4391)+~P7(x4393,x4395,x4391)+~P7(x4392,x4394,x4391)+P7(f26(f26(f8(x4391),x4392),x4393),f26(f26(f8(x4391),x4394),x4395),x4391)
% 1.34/1.34 [539]~P9(x5391,x5395,x5396)+P9(x5391,x5392,f44(x5393,x5394,x5391,x5392))+~P5(x5391,f21(a10,f9(x5397),x5395,a49,a49),x5394)+~P5(x5391,f21(a10,f21(a10,f9(x5397),x5395,a49,a49),x5392,a49,a49),x5393)
% 1.34/1.34 [541]~P9(x5413,x5415,x5416)+~P5(x5413,f21(a10,f9(x5417),x5415,a49,a49),x5412)+~P5(x5413,f21(a10,f21(a10,f9(x5417),x5415,a49,a49),x5414,a49,a49),x5411)+E(f22(a46,f44(x5411,x5412,x5413,x5414),x5411,a51,a51),x5412)
% 1.34/1.34 [479]~P5(x4796,x4792,x4795)+~P5(f36(x4796,x4793,x4795,a51),x4791,x4797)+~P28(f26(a6,x4792))+~P28(f26(a6,x4791))+~E(f26(f26(a46,x4794),x4795),a54)+P28(f26(a6,f14(x4791,x4792,x4793)))
% 1.34/1.34 [480]~P5(x4806,x4802,x4804)+~P5(f36(x4806,x4803,x4804,a51),x4801,x4807)+~P28(f26(a6,x4802))+~P28(f26(a6,x4801))+~E(f26(f26(a46,x4804),x4805),a54)+P28(f26(a6,f14(x4801,x4802,x4803)))
% 1.34/1.34 %EqnAxiom
% 1.34/1.34 [1]E(x11,x11)
% 1.34/1.34 [2]E(x22,x21)+~E(x21,x22)
% 1.34/1.34 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.34/1.34 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 1.34/1.34 [5]~E(x51,x52)+E(f23(x51,x53),f23(x52,x53))
% 1.34/1.34 [6]~E(x61,x62)+E(f23(x63,x61),f23(x63,x62))
% 1.34/1.34 [7]~E(x71,x72)+E(f21(x71,x73,x74,x75,x76),f21(x72,x73,x74,x75,x76))
% 1.34/1.34 [8]~E(x81,x82)+E(f21(x83,x81,x84,x85,x86),f21(x83,x82,x84,x85,x86))
% 1.34/1.34 [9]~E(x91,x92)+E(f21(x93,x94,x91,x95,x96),f21(x93,x94,x92,x95,x96))
% 1.34/1.34 [10]~E(x101,x102)+E(f21(x103,x104,x105,x101,x106),f21(x103,x104,x105,x102,x106))
% 1.34/1.34 [11]~E(x111,x112)+E(f21(x113,x114,x115,x116,x111),f21(x113,x114,x115,x116,x112))
% 1.34/1.34 [12]~E(x121,x122)+E(f12(x121),f12(x122))
% 1.34/1.34 [13]~E(x131,x132)+E(f25(x131,x133),f25(x132,x133))
% 1.34/1.34 [14]~E(x141,x142)+E(f25(x143,x141),f25(x143,x142))
% 1.34/1.34 [15]~E(x151,x152)+E(f9(x151),f9(x152))
% 1.34/1.34 [16]~E(x161,x162)+E(f26(x161,x163),f26(x162,x163))
% 1.34/1.34 [17]~E(x171,x172)+E(f26(x173,x171),f26(x173,x172))
% 1.34/1.34 [18]~E(x181,x182)+E(f43(x181,x183,x184,x185),f43(x182,x183,x184,x185))
% 1.34/1.34 [19]~E(x191,x192)+E(f43(x193,x191,x194,x195),f43(x193,x192,x194,x195))
% 1.34/1.34 [20]~E(x201,x202)+E(f43(x203,x204,x201,x205),f43(x203,x204,x202,x205))
% 1.34/1.34 [21]~E(x211,x212)+E(f43(x213,x214,x215,x211),f43(x213,x214,x215,x212))
% 1.34/1.34 [22]~E(x221,x222)+E(f19(x221,x223,x224),f19(x222,x223,x224))
% 1.34/1.34 [23]~E(x231,x232)+E(f19(x233,x231,x234),f19(x233,x232,x234))
% 1.34/1.34 [24]~E(x241,x242)+E(f19(x243,x244,x241),f19(x243,x244,x242))
% 1.34/1.34 [25]~E(x251,x252)+E(f22(x251,x253,x254,x255,x256),f22(x252,x253,x254,x255,x256))
% 1.34/1.34 [26]~E(x261,x262)+E(f22(x263,x261,x264,x265,x266),f22(x263,x262,x264,x265,x266))
% 1.34/1.34 [27]~E(x271,x272)+E(f22(x273,x274,x271,x275,x276),f22(x273,x274,x272,x275,x276))
% 1.34/1.34 [28]~E(x281,x282)+E(f22(x283,x284,x285,x281,x286),f22(x283,x284,x285,x282,x286))
% 1.34/1.34 [29]~E(x291,x292)+E(f22(x293,x294,x295,x296,x291),f22(x293,x294,x295,x296,x292))
% 1.34/1.34 [30]~E(x301,x302)+E(f5(x301,x303),f5(x302,x303))
% 1.34/1.34 [31]~E(x311,x312)+E(f5(x313,x311),f5(x313,x312))
% 1.34/1.34 [32]~E(x321,x322)+E(f44(x321,x323,x324,x325),f44(x322,x323,x324,x325))
% 1.34/1.34 [33]~E(x331,x332)+E(f44(x333,x331,x334,x335),f44(x333,x332,x334,x335))
% 1.34/1.35 [34]~E(x341,x342)+E(f44(x343,x344,x341,x345),f44(x343,x344,x342,x345))
% 1.34/1.35 [35]~E(x351,x352)+E(f44(x353,x354,x355,x351),f44(x353,x354,x355,x352))
% 1.34/1.35 [36]~E(x361,x362)+E(f45(x361,x363,x364,x365),f45(x362,x363,x364,x365))
% 1.34/1.35 [37]~E(x371,x372)+E(f45(x373,x371,x374,x375),f45(x373,x372,x374,x375))
% 1.34/1.35 [38]~E(x381,x382)+E(f45(x383,x384,x381,x385),f45(x383,x384,x382,x385))
% 1.34/1.35 [39]~E(x391,x392)+E(f45(x393,x394,x395,x391),f45(x393,x394,x395,x392))
% 1.34/1.35 [40]~E(x401,x402)+E(f35(x401),f35(x402))
% 1.34/1.35 [41]~E(x411,x412)+E(f13(x411,x413,x414),f13(x412,x413,x414))
% 1.34/1.35 [42]~E(x421,x422)+E(f13(x423,x421,x424),f13(x423,x422,x424))
% 1.34/1.35 [43]~E(x431,x432)+E(f13(x433,x434,x431),f13(x433,x434,x432))
% 1.34/1.35 [44]~E(x441,x442)+E(f48(x441),f48(x442))
% 1.34/1.35 [45]~E(x451,x452)+E(f27(x451,x453),f27(x452,x453))
% 1.34/1.35 [46]~E(x461,x462)+E(f27(x463,x461),f27(x463,x462))
% 1.34/1.35 [47]~E(x471,x472)+E(f7(x471),f7(x472))
% 1.34/1.35 [48]~E(x481,x482)+E(f31(x481,x483),f31(x482,x483))
% 1.34/1.35 [49]~E(x491,x492)+E(f31(x493,x491),f31(x493,x492))
% 1.34/1.35 [50]~E(x501,x502)+E(f8(x501),f8(x502))
% 1.34/1.35 [51]~E(x511,x512)+E(f29(x511,x513,x514,x515,x516),f29(x512,x513,x514,x515,x516))
% 1.34/1.35 [52]~E(x521,x522)+E(f29(x523,x521,x524,x525,x526),f29(x523,x522,x524,x525,x526))
% 1.34/1.35 [53]~E(x531,x532)+E(f29(x533,x534,x531,x535,x536),f29(x533,x534,x532,x535,x536))
% 1.34/1.35 [54]~E(x541,x542)+E(f29(x543,x544,x545,x541,x546),f29(x543,x544,x545,x542,x546))
% 1.34/1.35 [55]~E(x551,x552)+E(f29(x553,x554,x555,x556,x551),f29(x553,x554,x555,x556,x552))
% 1.34/1.35 [56]~E(x561,x562)+E(f36(x561,x563,x564,x565),f36(x562,x563,x564,x565))
% 1.34/1.35 [57]~E(x571,x572)+E(f36(x573,x571,x574,x575),f36(x573,x572,x574,x575))
% 1.34/1.35 [58]~E(x581,x582)+E(f36(x583,x584,x581,x585),f36(x583,x584,x582,x585))
% 1.34/1.35 [59]~E(x591,x592)+E(f36(x593,x594,x595,x591),f36(x593,x594,x595,x592))
% 1.34/1.35 [60]~E(x601,x602)+E(f30(x601,x603,x604,x605,x606),f30(x602,x603,x604,x605,x606))
% 1.34/1.35 [61]~E(x611,x612)+E(f30(x613,x611,x614,x615,x616),f30(x613,x612,x614,x615,x616))
% 1.34/1.35 [62]~E(x621,x622)+E(f30(x623,x624,x621,x625,x626),f30(x623,x624,x622,x625,x626))
% 1.34/1.35 [63]~E(x631,x632)+E(f30(x633,x634,x635,x631,x636),f30(x633,x634,x635,x632,x636))
% 1.34/1.35 [64]~E(x641,x642)+E(f30(x643,x644,x645,x646,x641),f30(x643,x644,x645,x646,x642))
% 1.34/1.35 [65]~E(x651,x652)+E(f39(x651,x653,x654,x655),f39(x652,x653,x654,x655))
% 1.34/1.35 [66]~E(x661,x662)+E(f39(x663,x661,x664,x665),f39(x663,x662,x664,x665))
% 1.34/1.35 [67]~E(x671,x672)+E(f39(x673,x674,x671,x675),f39(x673,x674,x672,x675))
% 1.34/1.35 [68]~E(x681,x682)+E(f39(x683,x684,x685,x681),f39(x683,x684,x685,x682))
% 1.34/1.35 [69]~E(x691,x692)+E(f32(x691,x693),f32(x692,x693))
% 1.34/1.35 [70]~E(x701,x702)+E(f32(x703,x701),f32(x703,x702))
% 1.34/1.35 [71]~E(x711,x712)+E(f14(x711,x713,x714),f14(x712,x713,x714))
% 1.34/1.35 [72]~E(x721,x722)+E(f14(x723,x721,x724),f14(x723,x722,x724))
% 1.34/1.35 [73]~E(x731,x732)+E(f14(x733,x734,x731),f14(x733,x734,x732))
% 1.34/1.35 [74]~E(x741,x742)+E(f33(x741,x743,x744),f33(x742,x743,x744))
% 1.34/1.35 [75]~E(x751,x752)+E(f33(x753,x751,x754),f33(x753,x752,x754))
% 1.34/1.35 [76]~E(x761,x762)+E(f33(x763,x764,x761),f33(x763,x764,x762))
% 1.34/1.35 [77]~E(x771,x772)+E(f28(x771,x773,x774),f28(x772,x773,x774))
% 1.34/1.35 [78]~E(x781,x782)+E(f28(x783,x781,x784),f28(x783,x782,x784))
% 1.34/1.35 [79]~E(x791,x792)+E(f28(x793,x794,x791),f28(x793,x794,x792))
% 1.34/1.35 [80]~E(x801,x802)+E(f16(x801,x803,x804,x805,x806),f16(x802,x803,x804,x805,x806))
% 1.34/1.35 [81]~E(x811,x812)+E(f16(x813,x811,x814,x815,x816),f16(x813,x812,x814,x815,x816))
% 1.34/1.35 [82]~E(x821,x822)+E(f16(x823,x824,x821,x825,x826),f16(x823,x824,x822,x825,x826))
% 1.34/1.35 [83]~E(x831,x832)+E(f16(x833,x834,x835,x831,x836),f16(x833,x834,x835,x832,x836))
% 1.34/1.35 [84]~E(x841,x842)+E(f16(x843,x844,x845,x846,x841),f16(x843,x844,x845,x846,x842))
% 1.34/1.35 [85]~E(x851,x852)+E(f15(x851,x853),f15(x852,x853))
% 1.34/1.35 [86]~E(x861,x862)+E(f15(x863,x861),f15(x863,x862))
% 1.34/1.35 [87]~E(x871,x872)+E(f20(x871,x873),f20(x872,x873))
% 1.34/1.35 [88]~E(x881,x882)+E(f20(x883,x881),f20(x883,x882))
% 1.34/1.35 [89]~E(x891,x892)+E(f24(x891,x893,x894),f24(x892,x893,x894))
% 1.34/1.35 [90]~E(x901,x902)+E(f24(x903,x901,x904),f24(x903,x902,x904))
% 1.34/1.35 [91]~E(x911,x912)+E(f24(x913,x914,x911),f24(x913,x914,x912))
% 1.34/1.35 [92]~E(x921,x922)+E(f37(x921),f37(x922))
% 1.34/1.35 [93]~E(x931,x932)+E(f41(x931,x933,x934,x935),f41(x932,x933,x934,x935))
% 1.34/1.35 [94]~E(x941,x942)+E(f41(x943,x941,x944,x945),f41(x943,x942,x944,x945))
% 1.34/1.35 [95]~E(x951,x952)+E(f41(x953,x954,x951,x955),f41(x953,x954,x952,x955))
% 1.34/1.35 [96]~E(x961,x962)+E(f41(x963,x964,x965,x961),f41(x963,x964,x965,x962))
% 1.34/1.35 [97]~E(x971,x972)+E(f40(x971,x973,x974),f40(x972,x973,x974))
% 1.34/1.35 [98]~E(x981,x982)+E(f40(x983,x981,x984),f40(x983,x982,x984))
% 1.34/1.35 [99]~E(x991,x992)+E(f40(x993,x994,x991),f40(x993,x994,x992))
% 1.34/1.35 [100]~E(x1001,x1002)+E(f17(x1001,x1003,x1004,x1005,x1006),f17(x1002,x1003,x1004,x1005,x1006))
% 1.34/1.35 [101]~E(x1011,x1012)+E(f17(x1013,x1011,x1014,x1015,x1016),f17(x1013,x1012,x1014,x1015,x1016))
% 1.34/1.35 [102]~E(x1021,x1022)+E(f17(x1023,x1024,x1021,x1025,x1026),f17(x1023,x1024,x1022,x1025,x1026))
% 1.34/1.35 [103]~E(x1031,x1032)+E(f17(x1033,x1034,x1035,x1031,x1036),f17(x1033,x1034,x1035,x1032,x1036))
% 1.34/1.35 [104]~E(x1041,x1042)+E(f17(x1043,x1044,x1045,x1046,x1041),f17(x1043,x1044,x1045,x1046,x1042))
% 1.34/1.35 [105]~E(x1051,x1052)+E(f42(x1051,x1053,x1054),f42(x1052,x1053,x1054))
% 1.34/1.35 [106]~E(x1061,x1062)+E(f42(x1063,x1061,x1064),f42(x1063,x1062,x1064))
% 1.34/1.35 [107]~E(x1071,x1072)+E(f42(x1073,x1074,x1071),f42(x1073,x1074,x1072))
% 1.34/1.35 [108]~E(x1081,x1082)+E(f18(x1081,x1083,x1084),f18(x1082,x1083,x1084))
% 1.34/1.35 [109]~E(x1091,x1092)+E(f18(x1093,x1091,x1094),f18(x1093,x1092,x1094))
% 1.34/1.35 [110]~E(x1101,x1102)+E(f18(x1103,x1104,x1101),f18(x1103,x1104,x1102))
% 1.34/1.35 [111]~E(x1111,x1112)+E(f47(x1111,x1113,x1114,x1115),f47(x1112,x1113,x1114,x1115))
% 1.34/1.35 [112]~E(x1121,x1122)+E(f47(x1123,x1121,x1124,x1125),f47(x1123,x1122,x1124,x1125))
% 1.34/1.35 [113]~E(x1131,x1132)+E(f47(x1133,x1134,x1131,x1135),f47(x1133,x1134,x1132,x1135))
% 1.34/1.35 [114]~E(x1141,x1142)+E(f47(x1143,x1144,x1145,x1141),f47(x1143,x1144,x1145,x1142))
% 1.34/1.35 [115]~E(x1151,x1152)+E(f52(x1151,x1153),f52(x1152,x1153))
% 1.34/1.35 [116]~E(x1161,x1162)+E(f52(x1163,x1161),f52(x1163,x1162))
% 1.34/1.35 [117]~E(x1171,x1172)+E(f38(x1171,x1173,x1174,x1175),f38(x1172,x1173,x1174,x1175))
% 1.34/1.35 [118]~E(x1181,x1182)+E(f38(x1183,x1181,x1184,x1185),f38(x1183,x1182,x1184,x1185))
% 1.34/1.35 [119]~E(x1191,x1192)+E(f38(x1193,x1194,x1191,x1195),f38(x1193,x1194,x1192,x1195))
% 1.34/1.35 [120]~E(x1201,x1202)+E(f38(x1203,x1204,x1205,x1201),f38(x1203,x1204,x1205,x1202))
% 1.34/1.35 [121]~E(x1211,x1212)+E(f34(x1211),f34(x1212))
% 1.34/1.35 [122]~P1(x1221)+P1(x1222)+~E(x1221,x1222)
% 1.34/1.35 [123]~P2(x1231)+P2(x1232)+~E(x1231,x1232)
% 1.34/1.35 [124]~P3(x1241)+P3(x1242)+~E(x1241,x1242)
% 1.34/1.35 [125]~P13(x1251)+P13(x1252)+~E(x1251,x1252)
% 1.34/1.35 [126]~P14(x1261)+P14(x1262)+~E(x1261,x1262)
% 1.34/1.35 [127]~P15(x1271)+P15(x1272)+~E(x1271,x1272)
% 1.34/1.35 [128]~P17(x1281)+P17(x1282)+~E(x1281,x1282)
% 1.34/1.35 [129]~P4(x1291)+P4(x1292)+~E(x1291,x1292)
% 1.34/1.35 [130]~P18(x1301)+P18(x1302)+~E(x1301,x1302)
% 1.34/1.35 [131]~P19(x1311)+P19(x1312)+~E(x1311,x1312)
% 1.34/1.35 [132]~P24(x1321)+P24(x1322)+~E(x1321,x1322)
% 1.34/1.35 [133]~P20(x1331)+P20(x1332)+~E(x1331,x1332)
% 1.34/1.35 [134]~P27(x1341)+P27(x1342)+~E(x1341,x1342)
% 1.34/1.35 [135]~P21(x1351)+P21(x1352)+~E(x1351,x1352)
% 1.34/1.35 [136]P5(x1362,x1363,x1364)+~E(x1361,x1362)+~P5(x1361,x1363,x1364)
% 1.34/1.35 [137]P5(x1373,x1372,x1374)+~E(x1371,x1372)+~P5(x1373,x1371,x1374)
% 1.34/1.35 [138]P5(x1383,x1384,x1382)+~E(x1381,x1382)+~P5(x1383,x1384,x1381)
% 1.34/1.35 [139]~P23(x1391)+P23(x1392)+~E(x1391,x1392)
% 1.34/1.35 [140]~P28(x1401)+P28(x1402)+~E(x1401,x1402)
% 1.34/1.35 [141]~P22(x1411)+P22(x1412)+~E(x1411,x1412)
% 1.34/1.35 [142]P8(x1422,x1423,x1424,x1425)+~E(x1421,x1422)+~P8(x1421,x1423,x1424,x1425)
% 1.34/1.35 [143]P8(x1433,x1432,x1434,x1435)+~E(x1431,x1432)+~P8(x1433,x1431,x1434,x1435)
% 1.34/1.35 [144]P8(x1443,x1444,x1442,x1445)+~E(x1441,x1442)+~P8(x1443,x1444,x1441,x1445)
% 1.34/1.35 [145]P8(x1453,x1454,x1455,x1452)+~E(x1451,x1452)+~P8(x1453,x1454,x1455,x1451)
% 1.34/1.35 [146]P6(x1462,x1463,x1464)+~E(x1461,x1462)+~P6(x1461,x1463,x1464)
% 1.34/1.35 [147]P6(x1473,x1472,x1474)+~E(x1471,x1472)+~P6(x1473,x1471,x1474)
% 1.34/1.35 [148]P6(x1483,x1484,x1482)+~E(x1481,x1482)+~P6(x1483,x1484,x1481)
% 1.34/1.35 [149]P7(x1492,x1493,x1494)+~E(x1491,x1492)+~P7(x1491,x1493,x1494)
% 1.34/1.35 [150]P7(x1503,x1502,x1504)+~E(x1501,x1502)+~P7(x1503,x1501,x1504)
% 1.34/1.35 [151]P7(x1513,x1514,x1512)+~E(x1511,x1512)+~P7(x1513,x1514,x1511)
% 1.34/1.35 [152]P9(x1522,x1523,x1524)+~E(x1521,x1522)+~P9(x1521,x1523,x1524)
% 1.34/1.35 [153]P9(x1533,x1532,x1534)+~E(x1531,x1532)+~P9(x1533,x1531,x1534)
% 1.34/1.35 [154]P9(x1543,x1544,x1542)+~E(x1541,x1542)+~P9(x1543,x1544,x1541)
% 1.34/1.35 [155]~P16(x1551)+P16(x1552)+~E(x1551,x1552)
% 1.34/1.35 [156]~P29(x1561)+P29(x1562)+~E(x1561,x1562)
% 1.34/1.35 [157]~P10(x1571)+P10(x1572)+~E(x1571,x1572)
% 1.34/1.35 [158]P11(x1582,x1583,x1584)+~E(x1581,x1582)+~P11(x1581,x1583,x1584)
% 1.34/1.35 [159]P11(x1593,x1592,x1594)+~E(x1591,x1592)+~P11(x1593,x1591,x1594)
% 1.34/1.35 [160]P11(x1603,x1604,x1602)+~E(x1601,x1602)+~P11(x1603,x1604,x1601)
% 1.34/1.35 [161]~P26(x1611)+P26(x1612)+~E(x1611,x1612)
% 1.34/1.35 [162]~P25(x1621)+P25(x1622)+~E(x1621,x1622)
% 1.34/1.35 [163]~P12(x1631)+P12(x1632)+~E(x1631,x1632)
% 1.34/1.35
% 1.34/1.35 %-------------------------------------------
% 1.34/1.35 cnf(546,plain,
% 1.34/1.35 (~E(f19(x5461,x5462,x5463),x5462)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(551,plain,
% 1.34/1.35 (~E(f19(x5511,x5512,x5513),x5512)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(554,plain,
% 1.34/1.35 (~E(f19(x5541,x5542,x5543),x5542)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(557,plain,
% 1.34/1.35 (~E(f19(x5571,x5572,x5573),x5572)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(562,plain,
% 1.34/1.35 (~E(f19(x5621,x5622,x5623),x5622)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(565,plain,
% 1.34/1.35 (~E(f19(x5651,x5652,x5653),x5652)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(574,plain,
% 1.34/1.35 (~E(f19(x5741,x5742,x5743),x5742)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(577,plain,
% 1.34/1.35 (~E(f19(x5771,x5772,x5773),x5772)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(580,plain,
% 1.34/1.35 (~E(f19(x5801,x5802,x5803),x5802)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(583,plain,
% 1.34/1.35 (~E(f19(x5831,x5832,x5833),x5832)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(586,plain,
% 1.34/1.35 (P5(x5861,f9(x5862),f26(x5861,x5862))),
% 1.34/1.35 inference(rename_variables,[],[215])).
% 1.34/1.35 cnf(591,plain,
% 1.34/1.35 (P28(f26(f26(f34(x5911),x5912),x5912))),
% 1.34/1.35 inference(rename_variables,[],[216])).
% 1.34/1.35 cnf(594,plain,
% 1.34/1.35 (P28(f26(f26(f34(x5941),x5942),x5942))),
% 1.34/1.35 inference(rename_variables,[],[216])).
% 1.34/1.35 cnf(603,plain,
% 1.34/1.35 (P28(f26(f26(f34(x6031),x6032),x6032))),
% 1.34/1.35 inference(rename_variables,[],[216])).
% 1.34/1.35 cnf(611,plain,
% 1.34/1.35 (P28(f26(f26(f34(x6111),x6112),x6112))),
% 1.34/1.35 inference(rename_variables,[],[216])).
% 1.34/1.35 cnf(614,plain,
% 1.34/1.35 (P28(f26(f26(f34(x6141),x6142),x6142))),
% 1.34/1.35 inference(rename_variables,[],[216])).
% 1.34/1.35 cnf(617,plain,
% 1.34/1.35 (~E(f19(x6171,x6172,x6173),x6172)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(623,plain,
% 1.34/1.35 (~E(f19(x6231,x6232,x6233),x6232)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(626,plain,
% 1.34/1.35 (E(f23(f23(x6261,x6262),x6262),x6261)),
% 1.34/1.35 inference(rename_variables,[],[193])).
% 1.34/1.35 cnf(634,plain,
% 1.34/1.35 (~E(f19(x6341,x6342,x6343),x6342)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(640,plain,
% 1.34/1.35 (~E(f19(x6401,x6402,x6403),x6402)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(645,plain,
% 1.34/1.35 (~E(f19(x6451,x6452,x6453),x6452)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(650,plain,
% 1.34/1.35 (~P28(f26(f26(a11,f9(x6501)),x6502))),
% 1.34/1.35 inference(rename_variables,[],[298])).
% 1.34/1.35 cnf(653,plain,
% 1.34/1.35 (~P28(f26(f26(a11,f9(x6531)),x6532))),
% 1.34/1.35 inference(rename_variables,[],[298])).
% 1.34/1.35 cnf(654,plain,
% 1.34/1.35 (~E(f19(x6541,x6542,x6543),x6542)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(657,plain,
% 1.34/1.35 (~P8(x6571,f4(x6572),x6573,x6572)),
% 1.34/1.35 inference(rename_variables,[],[301])).
% 1.34/1.35 cnf(660,plain,
% 1.34/1.35 (~P8(x6601,f4(x6602),x6603,x6602)),
% 1.34/1.35 inference(rename_variables,[],[301])).
% 1.34/1.35 cnf(663,plain,
% 1.34/1.35 (~E(f19(x6631,x6632,x6633),x6632)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(666,plain,
% 1.34/1.35 (~E(f19(x6661,x6662,x6663),x6662)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(677,plain,
% 1.34/1.35 (~E(f19(x6771,x6772,x6773),x6772)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(862,plain,
% 1.34/1.35 (~E(f19(x8621,x8622,x8623),x8622)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(873,plain,
% 1.34/1.35 (~E(f19(x8731,x8732,x8733),x8732)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(876,plain,
% 1.34/1.35 (~E(f19(x8761,x8762,x8763),x8762)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(917,plain,
% 1.34/1.35 (~E(f19(x9171,x9172,x9173),x9172)),
% 1.34/1.35 inference(rename_variables,[],[291])).
% 1.34/1.35 cnf(929,plain,
% 1.34/1.35 ($false),
% 1.34/1.35 inference(scs_inference,[],[279,289,164,165,166,167,170,175,177,178,180,181,182,195,293,187,270,273,300,301,657,660,198,291,546,551,554,557,562,565,574,577,580,583,617,623,634,640,645,654,663,666,677,862,873,876,917,215,586,296,281,193,626,282,285,287,216,591,594,603,611,614,298,650,653,303,251,257,2,332,491,390,335,490,489,348,330,329,470,447,440,339,338,310,309,473,448,529,527,519,518,517,485,459,441,532,497,382,381,409,156,148,145,144,140,136,3,533,392,380,395,343,478,483,461,474,487,504,508,361,316,312,311,366,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,516,515,514,513,511,456,446,445,410,399,376,375,374,373,372,371,363,356,355,354,353,351,326,323,319,314,307,306,305,304,494,493,492,449,370,345,340,313,341,535,467,466,464,462,453,452,444,436,422,416,396,495,538,499,469,457,455,413,368,367,540,523,522,498]),
% 1.34/1.35 ['proof']).
% 1.34/1.35 % SZS output end Proof
% 1.34/1.35 % Total time :0.550000s
%------------------------------------------------------------------------------