TSTP Solution File: SWW473+7 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW473+7 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 : Fri Sep 1 00:14:33 EDT 2023
% Result : Theorem 19.04s 19.05s
% Output : CNFRefutation 19.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW473+7 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 22:08:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 18.91/18.98 %-------------------------------------------
% 18.91/18.98 % File :CSE---1.6
% 18.91/18.98 % Problem :theBenchmark
% 18.91/18.98 % Transform :cnf
% 18.91/18.98 % Format :tptp:raw
% 18.91/18.98 % Command :java -jar mcs_scs.jar %d %s
% 18.91/18.98
% 18.91/18.98 % Result :Theorem 17.110000s
% 18.91/18.98 % Output :CNFRefutation 17.110000s
% 18.91/18.98 %-------------------------------------------
% 18.91/18.99 %------------------------------------------------------------------------------
% 18.91/18.99 % File : SWW473+7 : TPTP v8.1.2. Released v5.3.0.
% 18.91/18.99 % Domain : Software Verification
% 18.91/18.99 % Problem : Hoare's Logic with Procedures line 383, 1000 axioms selected
% 18.91/18.99 % Version : Especial.
% 18.91/18.99 % English :
% 18.91/18.99
% 18.91/18.99 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 18.91/18.99 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 18.91/18.99 % Source : [Bla11]
% 18.91/18.99 % Names : hoare_1000_fofpt_l383 [Bla11]
% 18.91/18.99
% 18.91/18.99 % Status : Theorem
% 18.91/18.99 % Rating : 0.56 v8.1.0, 0.50 v7.5.0, 0.62 v7.4.0, 0.60 v7.3.0, 0.55 v7.1.0, 0.48 v7.0.0, 0.57 v6.4.0, 0.58 v6.3.0, 0.50 v6.2.0, 0.68 v6.1.0, 0.77 v6.0.0, 0.65 v5.5.0, 0.70 v5.4.0, 0.71 v5.3.0
% 18.91/18.99 % Syntax : Number of formulae : 1201 ( 352 unt; 0 def)
% 18.91/18.99 % Number of atoms : 2974 ( 796 equ)
% 18.91/18.99 % Maximal formula atoms : 10 ( 2 avg)
% 18.91/18.99 % Number of connectives : 2001 ( 228 ~; 66 |; 135 &)
% 18.91/18.99 % ( 235 <=>;1337 =>; 0 <=; 0 <~>)
% 18.91/18.99 % Maximal formula depth : 19 ( 5 avg)
% 18.91/18.99 % Maximal term depth : 15 ( 2 avg)
% 18.91/18.99 % Number of predicates : 62 ( 61 usr; 0 prp; 1-2 aty)
% 18.91/18.99 % Number of functors : 71 ( 71 usr; 27 con; 0-4 aty)
% 18.91/18.99 % Number of variables : 3080 (3028 !; 52 ?)
% 18.91/18.99 % SPC : FOF_THM_RFO_SEQ
% 18.91/18.99
% 18.91/18.99 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 18.91/18.99 % 2011-08-09 17:42:43
% 18.91/18.99 % : Encoded with polymorphic tags.
% 18.91/18.99 %------------------------------------------------------------------------------
% 18.91/18.99 %----Explicit typings (70)
% 18.91/18.99 fof(tsy_c_COMBB_res,axiom,
% 18.91/18.99 ! [X_b,X_c,X_a] : ti(fun(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c))),combb(X_b,X_c,X_a)) = combb(X_b,X_c,X_a) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_COMBC_res,axiom,
% 18.91/18.99 ! [X_a,X_b,X_c] : ti(fun(fun(X_a,fun(X_b,X_c)),fun(X_b,fun(X_a,X_c))),combc(X_a,X_b,X_c)) = combc(X_a,X_b,X_c) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_COMBI_res,axiom,
% 18.91/18.99 ! [X_a] : ti(fun(X_a,X_a),combi(X_a)) = combi(X_a) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_COMBK_res,axiom,
% 18.91/18.99 ! [X_a,X_b] : ti(fun(X_a,fun(X_b,X_a)),combk(X_a,X_b)) = combk(X_a,X_b) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_COMBS_res,axiom,
% 18.91/18.99 ! [X_a,X_b,X_c] : ti(fun(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c))),combs(X_a,X_b,X_c)) = combs(X_a,X_b,X_c) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Com_Obody_res,axiom,
% 18.91/18.99 ti(fun(pname,option(com)),body) = body ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Finite__Set_Ocard_res,axiom,
% 18.91/18.99 ! [X_c] : ti(fun(fun(X_c,bool),nat),finite_card(X_c)) = finite_card(X_c) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Finite__Set_Ocomp__fun__idem_res,axiom,
% 18.91/18.99 ! [X_b,X_c] : ti(fun(fun(X_b,fun(X_c,X_c)),bool),finite_comp_fun_idem(X_b,X_c)) = finite_comp_fun_idem(X_b,X_c) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Finite__Set_Ofinite_res,axiom,
% 18.91/18.99 ! [X_b] : ti(fun(fun(X_b,bool),bool),finite_finite(X_b)) = finite_finite(X_b) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Finite__Set_Ofold__image_res,axiom,
% 18.91/18.99 ! [X_b,X_c] : ti(fun(fun(X_b,fun(X_b,X_b)),fun(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b)))),finite_fold_image(X_b,X_c)) = finite_fold_image(X_b,X_c) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Finite__Set_Ofolding__image__simple_res,axiom,
% 18.91/18.99 ! [X_b,X_c] : ti(fun(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)))),finite1357897459simple(X_b,X_c)) = finite1357897459simple(X_b,X_c) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Finite__Set_Ofolding__image__simple__idem_res,axiom,
% 18.91/18.99 ! [X_b,X_c] : ti(fun(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)))),finite908156982e_idem(X_b,X_c)) = finite908156982e_idem(X_b,X_c) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Finite__Set_Ofolding__one_res,axiom,
% 18.91/18.99 ! [X_b] : ti(fun(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool)),finite_folding_one(X_b)) = finite_folding_one(X_b) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Finite__Set_Ofolding__one__idem_res,axiom,
% 18.91/18.99 ! [X_b] : ti(fun(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool)),finite2073411215e_idem(X_b)) = finite2073411215e_idem(X_b) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Oabs__class_Oabs_res,axiom,
% 18.91/18.99 ! [X_a] :
% 18.91/18.99 ( ordere142940540dd_abs(X_a)
% 18.91/18.99 => ti(fun(X_a,X_a),abs_abs(X_a)) = abs_abs(X_a) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Ominus__class_Ominus_res,axiom,
% 18.91/18.99 ! [X_c] :
% 18.91/18.99 ( minus(X_c)
% 18.91/18.99 => ti(fun(X_c,fun(X_c,X_c)),minus_minus(X_c)) = minus_minus(X_c) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Oone__class_Oone_res,axiom,
% 18.91/18.99 ! [X_b] :
% 18.91/18.99 ( one(X_b)
% 18.91/18.99 => ti(X_b,one_one(X_b)) = one_one(X_b) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Oplus__class_Oplus_0_res,axiom,
% 18.91/18.99 ! [X_a] :
% 18.91/18.99 ( monoid_add(X_a)
% 18.91/18.99 => ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a)) = plus_plus(X_a) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Oplus__class_Oplus_1_res,axiom,
% 18.91/18.99 ! [X_b] :
% 18.91/18.99 ( cancel_semigroup_add(X_b)
% 18.91/18.99 => ti(fun(X_b,fun(X_b,X_b)),plus_plus(X_b)) = plus_plus(X_b) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Oplus__class_Oplus_2_res,axiom,
% 18.91/18.99 ! [X_a] :
% 18.91/18.99 ( ab_semigroup_add(X_a)
% 18.91/18.99 => ti(fun(X_a,fun(X_a,X_a)),plus_plus(X_a)) = plus_plus(X_a) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Otimes__class_Otimes_0_res,axiom,
% 18.91/18.99 ! [X_a] :
% 18.91/18.99 ( ab_semigroup_mult(X_a)
% 18.91/18.99 => ti(fun(X_a,fun(X_a,X_a)),times_times(X_a)) = times_times(X_a) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Otimes__class_Otimes_1_res,axiom,
% 18.91/18.99 ! [X_a] :
% 18.91/18.99 ( monoid_mult(X_a)
% 18.91/18.99 => ti(fun(X_a,fun(X_a,X_a)),times_times(X_a)) = times_times(X_a) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Otimes__class_Otimes_2_res,axiom,
% 18.91/18.99 ! [X_a] :
% 18.91/18.99 ( semiring(X_a)
% 18.91/18.99 => ti(fun(X_a,fun(X_a,X_a)),times_times(X_a)) = times_times(X_a) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Otimes__class_Otimes_3_res,axiom,
% 18.91/18.99 ! [X_a] :
% 18.91/18.99 ( no_zero_divisors(X_a)
% 18.91/18.99 => ti(fun(X_a,fun(X_a,X_a)),times_times(X_a)) = times_times(X_a) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Otimes__class_Otimes_4_res,axiom,
% 18.91/18.99 ! [X_a] :
% 18.91/18.99 ( mult_zero(X_a)
% 18.91/18.99 => ti(fun(X_a,fun(X_a,X_a)),times_times(X_a)) = times_times(X_a) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_Groups_Ozero__class_Ozero_res,axiom,
% 18.91/18.99 ! [X_b] :
% 18.91/18.99 ( zero(X_b)
% 18.91/18.99 => ti(X_b,zero_zero(X_b)) = zero_zero(X_b) ) ).
% 18.91/18.99
% 18.91/18.99 fof(tsy_c_HOL_OThe_res,axiom,
% 18.91/18.99 ! [X_b] : ti(fun(fun(X_b,bool),X_b),the(X_b)) = the(X_b) ).
% 18.91/18.99
% 18.91/19.00 fof(tsy_c_HOL_Oundefined_res,axiom,
% 18.91/19.00 ! [X_a] : ti(X_a,undefined(X_a)) = undefined(X_a) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_If_res,axiom,
% 18.91/19.00 ! [X_a] : ti(fun(bool,fun(X_a,fun(X_a,X_a))),if(X_a)) = if(X_a) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Int_OBit1_res,axiom,
% 18.91/19.00 ti(fun(int,int),bit1) = bit1 ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Int_OPls_res,axiom,
% 18.91/19.00 ti(int,pls) = pls ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Int_Onumber__class_Onumber__of_res,axiom,
% 18.91/19.00 ! [X_b] :
% 18.91/19.00 ( number(X_b)
% 18.91/19.00 => ti(fun(int,X_b),number_number_of(X_b)) = number_number_of(X_b) ) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Int_Oring__1__class_OInts_res,axiom,
% 18.91/19.00 ! [X_b] :
% 18.91/19.00 ( ring_1(X_b)
% 18.91/19.00 => ti(fun(X_b,bool),ring_1_Ints(X_b)) = ring_1_Ints(X_b) ) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Int_Osucc_res,axiom,
% 18.91/19.00 ti(fun(int,int),succ) = succ ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Nat_OSuc_res,hypothesis,
% 18.91/19.00 ti(fun(nat,nat),suc) = suc ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Nat_Onat_Onat__case_res,axiom,
% 18.91/19.00 ! [X_b] : ti(fun(X_b,fun(fun(nat,X_b),fun(nat,X_b))),nat_case(X_b)) = nat_case(X_b) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Nat_Osemiring__1__class_Oof__nat_res,axiom,
% 18.91/19.00 ! [X_a] :
% 18.91/19.00 ( semiring_1(X_a)
% 18.91/19.00 => ti(fun(nat,X_a),semiring_1_of_nat(X_a)) = semiring_1_of_nat(X_a) ) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Nat_Osemiring__1__class_Oof__nat__aux_res,axiom,
% 18.91/19.00 ! [X_b] :
% 18.91/19.00 ( semiring_1(X_b)
% 18.91/19.00 => ti(fun(fun(X_b,X_b),fun(nat,fun(X_b,X_b))),semiri532925092at_aux(X_b)) = semiri532925092at_aux(X_b) ) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Nat__Numeral_Oneg_res,axiom,
% 18.91/19.00 ti(fun(int,bool),nat_neg) = nat_neg ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Nat__Transfer_Otsub_res,axiom,
% 18.91/19.00 ti(fun(int,fun(int,int)),nat_tsub) = nat_tsub ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Option_Othe_res,axiom,
% 18.91/19.00 ti(fun(option(com),com),the_1(com)) = the_1(com) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Orderings_Obot__class_Obot_res,axiom,
% 18.91/19.00 ! [X_b] :
% 18.91/19.00 ( bot(X_b)
% 18.91/19.00 => ti(X_b,bot_bot(X_b)) = bot_bot(X_b) ) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Orderings_Oord__class_Oless_res,axiom,
% 18.91/19.00 ! [X_a] :
% 18.91/19.00 ( ord(X_a)
% 18.91/19.00 => ti(fun(X_a,fun(X_a,bool)),ord_less(X_a)) = ord_less(X_a) ) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Orderings_Oord__class_Oless__eq_res,axiom,
% 18.91/19.00 ! [X_a] :
% 18.91/19.00 ( ord(X_a)
% 18.91/19.00 => ti(fun(X_a,fun(X_a,bool)),ord_less_eq(X_a)) = ord_less_eq(X_a) ) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Partial__Function_Oflat__lub_res,axiom,
% 18.91/19.00 ! [X_b] : ti(fun(X_b,fun(fun(X_b,bool),X_b)),partial_flat_lub(X_b)) = partial_flat_lub(X_b) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Set_OCollect_res,axiom,
% 18.91/19.00 ! [X_b] : ti(fun(fun(X_b,bool),fun(X_b,bool)),collect(X_b)) = collect(X_b) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Set_Oimage_res,axiom,
% 18.91/19.00 ! [X_b,X_c] : ti(fun(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool))),image(X_b,X_c)) = image(X_b,X_c) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Set_Oinsert_res,axiom,
% 18.91/19.00 ! [X_b] : ti(fun(X_b,fun(fun(X_b,bool),fun(X_b,bool))),insert(X_b)) = insert(X_b) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Set_Othe__elem_res,axiom,
% 18.91/19.00 ! [X_b] : ti(fun(fun(X_b,bool),X_b),the_elem(X_b)) = the_elem(X_b) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_Sum__Type_OPlus_res,axiom,
% 18.91/19.00 ! [X_b,X_c] : ti(fun(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool))),sum_Plus(X_b,X_c)) = sum_Plus(X_b,X_c) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_fFalse_res,axiom,
% 18.91/19.00 ti(bool,fFalse) = fFalse ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_fNot_res,axiom,
% 18.91/19.00 ti(fun(bool,bool),fNot) = fNot ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_fTrue_res,axiom,
% 18.91/19.00 ti(bool,fTrue) = fTrue ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_fconj_res,axiom,
% 18.91/19.00 ti(fun(bool,fun(bool,bool)),fconj) = fconj ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_fdisj_res,axiom,
% 18.91/19.00 ti(fun(bool,fun(bool,bool)),fdisj) = fdisj ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_fequal_res,axiom,
% 18.91/19.00 ! [X_a] : ti(fun(X_a,fun(X_a,bool)),fequal(X_a)) = fequal(X_a) ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_fimplies_res,axiom,
% 18.91/19.00 ti(fun(bool,fun(bool,bool)),fimplies) = fimplies ).
% 18.91/19.00
% 18.91/19.00 fof(tsy_c_hAPP_arg1,axiom,
% 18.91/19.00 ! [X_a,X_c,B_1_1,B_2_1] : hAPP(X_a,X_c,ti(fun(X_a,X_c),B_1_1),B_2_1) = hAPP(X_a,X_c,B_1_1,B_2_1) ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_c_hAPP_arg2,axiom,
% 18.95/19.00 ! [X_a,X_c,B_1_1,B_2_1] : hAPP(X_a,X_c,B_1_1,ti(X_a,B_2_1)) = hAPP(X_a,X_c,B_1_1,B_2_1) ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_c_hAPP_res,axiom,
% 18.95/19.00 ! [X_c,X_a,B_1_1,B_2_1] : ti(X_c,hAPP(X_a,X_c,B_1_1,B_2_1)) = hAPP(X_a,X_c,B_1_1,B_2_1) ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_c_hBOOL_arg1,hypothesis,
% 18.95/19.00 ! [B_1_1] :
% 18.95/19.00 ( hBOOL(ti(bool,B_1_1))
% 18.95/19.00 <=> hBOOL(B_1_1) ) ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_c_member_res,axiom,
% 18.95/19.00 ! [X_b] : ti(fun(X_b,fun(fun(X_b,bool),bool)),member(X_b)) = member(X_b) ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_v_G_res,hypothesis,
% 18.95/19.00 ti(fun(x_a,bool),g) = g ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_v_P_res,axiom,
% 18.95/19.00 ti(fun(fun(x_a,bool),fun(fun(x_a,bool),bool)),p) = p ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_v_U_res,hypothesis,
% 18.95/19.00 ti(fun(pname,bool),u) = u ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_v_mgt_res,axiom,
% 18.95/19.00 ti(fun(com,x_a),mgt) = mgt ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_v_mgt__call_res,hypothesis,
% 18.95/19.00 ti(fun(pname,x_a),mgt_call) = mgt_call ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_v_na_res,hypothesis,
% 18.95/19.00 ti(nat,na) = na ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_v_pn_res,hypothesis,
% 18.95/19.00 ti(pname,pn) = pn ).
% 18.95/19.00
% 18.95/19.00 fof(tsy_v_wt_res,axiom,
% 18.95/19.00 ti(fun(com,bool),wt) = wt ).
% 18.95/19.00
% 18.95/19.00 %----Relevant facts (995)
% 18.95/19.00 fof(fact_0_assms_I1_J,axiom,
% 18.95/19.00 ! [Ts,G_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),Ts),G_1))
% 18.95/19.00 => hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,G_1),Ts)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_1_finite__Collect__subsets,axiom,
% 18.95/19.00 ! [X_b,A_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.00 => hBOOL(hAPP(fun(fun(X_b,bool),bool),bool,finite_finite(fun(X_b,bool)),hAPP(fun(fun(X_b,bool),bool),fun(fun(X_b,bool),bool),collect(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),hAPP(fun(fun(X_b,bool),fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(fun(X_b,bool),bool)),combc(fun(X_b,bool),fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool))),A_3)))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_2_finite__imageI,axiom,
% 18.95/19.00 ! [X_c,X_b,H,F_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_1))
% 18.95/19.00 => hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),H),F_1))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_3_finite_OinsertI,axiom,
% 18.95/19.00 ! [X_b,A_2,A_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.00 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),A_3))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_4_card__image__le,axiom,
% 18.95/19.00 ! [X_c,X_b,F,A_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X_c,bool),nat,finite_card(X_c),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3))),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_5_card__mono,axiom,
% 18.95/19.00 ! [X_b,A_3,B_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),hAPP(fun(X_b,bool),nat,finite_card(X_b),B_1))) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_6_card__seteq,axiom,
% 18.95/19.00 ! [X_b,A_3,B_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.00 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),B_1)),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)))
% 18.95/19.00 => ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_1) ) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_7_card__insert__le,axiom,
% 18.95/19.00 ! [X_b,X_1,A_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_8_card__insert__if,axiom,
% 18.95/19.00 ! [X_b,X_1,A_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.00 => ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.00 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) )
% 18.95/19.00 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.00 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(nat,nat,suc,hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)) ) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_9_card__insert__disjoint,axiom,
% 18.95/19.00 ! [X_b,X_1,A_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.00 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.00 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(nat,nat,suc,hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_10_finite__Collect__conjI,axiom,
% 18.95/19.00 ! [X_b,Q_3,Pa] :
% 18.95/19.00 ( ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa)))
% 18.95/19.00 | hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Q_3))) )
% 18.95/19.00 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),Pa)),Q_3)))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_11_Suc__diff__le,axiom,
% 18.95/19.00 ! [N,M_1] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M_1))
% 18.95/19.00 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M_1)),N) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_12_finite__Collect__le__nat,axiom,
% 18.95/19.00 ! [K] : hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less_eq(nat)),K)))) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_13_card__Collect__le__nat,axiom,
% 18.95/19.00 ! [Na] : hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less_eq(nat)),Na))) = hAPP(nat,nat,suc,Na) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_14_finite__code,axiom,
% 18.95/19.00 ! [X_b] :
% 18.95/19.00 ( finite_finite_1(X_b)
% 18.95/19.00 => ! [A_3] : hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_15_finite,axiom,
% 18.95/19.00 ! [X_b] :
% 18.95/19.00 ( finite_finite_1(X_b)
% 18.95/19.00 => ! [A_3] : hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_16_Suc__inject,axiom,
% 18.95/19.00 ! [X,Y] :
% 18.95/19.00 ( hAPP(nat,nat,suc,X) = hAPP(nat,nat,suc,Y)
% 18.95/19.00 => X = Y ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_17_nat_Oinject,axiom,
% 18.95/19.00 ! [Nat_3,Nat_4] :
% 18.95/19.00 ( hAPP(nat,nat,suc,Nat_3) = hAPP(nat,nat,suc,Nat_4)
% 18.95/19.00 <=> Nat_3 = Nat_4 ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_18_Suc__n__not__n,axiom,
% 18.95/19.00 ! [N] : hAPP(nat,nat,suc,N) != N ).
% 18.95/19.00
% 18.95/19.00 fof(fact_19_n__not__Suc__n,axiom,
% 18.95/19.00 ! [N] : N != hAPP(nat,nat,suc,N) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_20_le__antisym,axiom,
% 18.95/19.00 ! [M_1,N] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 18.95/19.00 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M_1))
% 18.95/19.00 => M_1 = N ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_21_le__trans,axiom,
% 18.95/19.00 ! [K_1,I_2,J] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 18.95/19.00 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),J),K_1))
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),K_1)) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_22_eq__imp__le,axiom,
% 18.95/19.00 ! [M_1,N] :
% 18.95/19.00 ( M_1 = N
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_23_nat__le__linear,axiom,
% 18.95/19.00 ! [M_1,N] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 18.95/19.00 | hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M_1)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_24_le__refl,axiom,
% 18.95/19.00 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),N)) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_25_diff__commute,axiom,
% 18.95/19.00 ! [I_2,J,K_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),J)),K_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),K_1)),J) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_26_finite__Collect__disjI,axiom,
% 18.95/19.00 ! [X_b,Pa,Q_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fdisj),Pa)),Q_3))))
% 18.95/19.00 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa)))
% 18.95/19.00 & hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Q_3))) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_27_finite__insert,axiom,
% 18.95/19.00 ! [X_b,A_2,A_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),A_3)))
% 18.95/19.00 <=> hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_28_finite__subset,axiom,
% 18.95/19.00 ! [X_b,A_3,B_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 18.95/19.00 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_29_rev__finite__subset,axiom,
% 18.95/19.00 ! [X_b,A_3,B_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.00 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_30_Suc__leD,axiom,
% 18.95/19.00 ! [M_1,N] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M_1)),N))
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_31_le__SucE,axiom,
% 18.95/19.00 ! [M_1,N] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),hAPP(nat,nat,suc,N)))
% 18.95/19.00 => ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 18.95/19.00 => M_1 = hAPP(nat,nat,suc,N) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_32_le__SucI,axiom,
% 18.95/19.00 ! [M_1,N] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),hAPP(nat,nat,suc,N))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_33_Suc__le__mono,axiom,
% 18.95/19.00 ! [Na,M] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,Na)),hAPP(nat,nat,suc,M)))
% 18.95/19.00 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),Na),M)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_34_le__Suc__eq,axiom,
% 18.95/19.00 ! [M,Na] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),hAPP(nat,nat,suc,Na)))
% 18.95/19.00 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na))
% 18.95/19.00 | M = hAPP(nat,nat,suc,Na) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_35_not__less__eq__eq,axiom,
% 18.95/19.00 ! [M,Na] :
% 18.95/19.00 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na))
% 18.95/19.00 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,Na)),M)) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_36_Suc__n__not__le__n,axiom,
% 18.95/19.00 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,N)),N)) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_37_Suc__diff__diff,axiom,
% 18.95/19.00 ! [M_1,N,K_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M_1)),N)),hAPP(nat,nat,suc,K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)),K_1) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_38_diff__Suc__Suc,axiom,
% 18.95/19.00 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,M_1)),hAPP(nat,nat,suc,N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_39_le__diff__iff,axiom,
% 18.95/19.00 ! [Na,K,M] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),M))
% 18.95/19.00 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),Na))
% 18.95/19.00 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Na),K)))
% 18.95/19.00 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_40_Nat_Odiff__diff__eq,axiom,
% 18.95/19.00 ! [N,K_1,M_1] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),M_1))
% 18.95/19.00 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),N))
% 18.95/19.00 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_41_eq__diff__iff,axiom,
% 18.95/19.00 ! [Na,K,M] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),M))
% 18.95/19.00 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),Na))
% 18.95/19.00 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),K) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Na),K)
% 18.95/19.00 <=> M = Na ) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_42_diff__diff__cancel,axiom,
% 18.95/19.00 ! [I_2,N] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),N))
% 18.95/19.00 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),I_2)) = I_2 ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_43_diff__le__mono,axiom,
% 18.95/19.00 ! [L_1,M_1,N] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),L_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),L_1))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_44_diff__le__mono2,axiom,
% 18.95/19.00 ! [L_1,M_1,N] :
% 18.95/19.00 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 18.95/19.00 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L_1),N)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L_1),M_1))) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_45_diff__le__self,axiom,
% 18.95/19.00 ! [M_1,N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)),M_1)) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_46_finite__surj,axiom,
% 18.95/19.00 ! [X_c,X_b,B_1,F,A_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(fun(X_c,bool),fun(fun(X_c,bool),bool),ord_less_eq(fun(X_c,bool)),B_1),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3)))
% 18.95/19.00 => hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_1)) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_47_finite__subset__image,axiom,
% 18.95/19.00 ! [X_c,X_b,F,A_3,B_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),A_3)))
% 18.95/19.00 => ? [C_3] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(fun(X_c,bool),fun(fun(X_c,bool),bool),ord_less_eq(fun(X_c,bool)),C_3),A_3))
% 18.95/19.00 & hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),C_3))
% 18.95/19.00 & ti(fun(X_b,bool),B_1) = hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),C_3) ) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_48_lift__Suc__mono__le,axiom,
% 18.95/19.00 ! [X_b] :
% 18.95/19.00 ( order(X_b)
% 18.95/19.00 => ! [Na,N_3,F] :
% 18.95/19.00 ( ! [N_1] : hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(nat,X_b,F,N_1)),hAPP(nat,X_b,F,hAPP(nat,nat,suc,N_1))))
% 18.95/19.00 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),Na),N_3))
% 18.95/19.00 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(nat,X_b,F,Na)),hAPP(nat,X_b,F,N_3))) ) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_49_pigeonhole__infinite,axiom,
% 18.95/19.00 ! [X_c,X_b,F,A_3] :
% 18.95/19.00 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3)))
% 18.95/19.00 => ? [X_2] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 18.95/19.00 & ~ hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(X_b,bool)),combc(X_b,fun(X_b,bool),bool),member(X_b)),A_3))),hAPP(X_c,fun(X_b,bool),hAPP(fun(X_b,fun(X_c,bool)),fun(X_c,fun(X_b,bool)),combc(X_b,X_c,bool),hAPP(fun(X_b,X_c),fun(X_b,fun(X_c,bool)),hAPP(fun(X_c,fun(X_c,bool)),fun(fun(X_b,X_c),fun(X_b,fun(X_c,bool))),combb(X_c,fun(X_c,bool),X_b),fequal(X_c)),F)),hAPP(X_b,X_c,F,X_2)))))) ) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_50_image__eqI,axiom,
% 18.95/19.00 ! [X_b,X_c,A_3,B_3,F,X_1] :
% 18.95/19.00 ( ti(X_b,B_3) = hAPP(X_c,X_b,F,X_1)
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_1),A_3))
% 18.95/19.00 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_3),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),A_3))) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_51_equalityI,axiom,
% 18.95/19.00 ! [X_b,A_3,B_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),A_3))
% 18.95/19.00 => ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_1) ) ) ).
% 18.95/19.00
% 18.95/19.00 fof(fact_52_subsetD,axiom,
% 18.95/19.00 ! [X_b,C_1,A_3,B_1] :
% 18.95/19.00 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.00 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_53_insertCI,axiom,
% 18.95/19.01 ! [X_b,B_3,A_2,B_1] :
% 18.95/19.01 ( ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),B_1))
% 18.95/19.01 => ti(X_b,A_2) = ti(X_b,B_3) )
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),B_1))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_54_insertE,axiom,
% 18.95/19.01 ! [X_b,A_2,B_3,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),A_3)))
% 18.95/19.01 => ( ti(X_b,A_2) != ti(X_b,B_3)
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_55_zero__induct__lemma,axiom,
% 18.95/19.01 ! [I_1,Pa,K] :
% 18.95/19.01 ( hBOOL(hAPP(nat,bool,Pa,K))
% 18.95/19.01 => ( ! [N_1] :
% 18.95/19.01 ( hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,N_1)))
% 18.95/19.01 => hBOOL(hAPP(nat,bool,Pa,N_1)) )
% 18.95/19.01 => hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),K),I_1))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_56_Suc__le__D,axiom,
% 18.95/19.01 ! [N,M_4] :
% 18.95/19.01 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,N)),M_4))
% 18.95/19.01 => ? [M_2] : M_4 = hAPP(nat,nat,suc,M_2) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_57_order__refl,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( preorder(X_a)
% 18.95/19.01 => ! [X] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),X)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_58_linorder__linear,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( linorder(X_a)
% 18.95/19.01 => ! [X,Y] :
% 18.95/19.01 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 18.95/19.01 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_59_order__eq__iff,axiom,
% 18.95/19.01 ! [X_b] :
% 18.95/19.01 ( order(X_b)
% 18.95/19.01 => ! [X_1,Y_2] :
% 18.95/19.01 ( ti(X_b,X_1) = ti(X_b,Y_2)
% 18.95/19.01 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_2))
% 18.95/19.01 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_2),X_1)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_60_order__eq__refl,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( preorder(X_a)
% 18.95/19.01 => ! [X,Y] :
% 18.95/19.01 ( X = Y
% 18.95/19.01 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_61_order__antisym__conv,axiom,
% 18.95/19.01 ! [X_b] :
% 18.95/19.01 ( order(X_b)
% 18.95/19.01 => ! [Y_2,X_1] :
% 18.95/19.01 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_2),X_1))
% 18.95/19.01 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_2))
% 18.95/19.01 <=> ti(X_b,X_1) = ti(X_b,Y_2) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_62_ord__eq__le__trans,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( ord(X_a)
% 18.95/19.01 => ! [C,A_1,B] :
% 18.95/19.01 ( A_1 = B
% 18.95/19.01 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),C))
% 18.95/19.01 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),C)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_63_xt1_I3_J,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( order(X_a)
% 18.95/19.01 => ! [C,A_1,B] :
% 18.95/19.01 ( ti(X_a,A_1) = ti(X_a,B)
% 18.95/19.01 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),B))
% 18.95/19.01 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),A_1)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_64_ord__le__eq__trans,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( ord(X_a)
% 18.95/19.01 => ! [C,A_1,B] :
% 18.95/19.01 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 18.95/19.01 => ( B = C
% 18.95/19.01 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),C)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_65_xt1_I4_J,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( order(X_a)
% 18.95/19.01 => ! [C,B,A_1] :
% 18.95/19.01 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),A_1))
% 18.95/19.01 => ( ti(X_a,B) = ti(X_a,C)
% 18.95/19.01 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),A_1)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_66_order__antisym,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( order(X_a)
% 18.95/19.01 => ! [X,Y] :
% 18.95/19.01 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 18.95/19.01 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 18.95/19.01 => ti(X_a,X) = ti(X_a,Y) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_67_order__trans,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( preorder(X_a)
% 18.95/19.01 => ! [Z,X,Y] :
% 18.95/19.01 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 18.95/19.01 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),Z))
% 18.95/19.01 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Z)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_68_xt1_I5_J,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( order(X_a)
% 18.95/19.01 => ! [Y,X] :
% 18.95/19.01 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 18.95/19.01 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 18.95/19.01 => ti(X_a,X) = ti(X_a,Y) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_69_xt1_I6_J,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( order(X_a)
% 18.95/19.01 => ! [Z,Y,X] :
% 18.95/19.01 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 18.95/19.01 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Z),Y))
% 18.95/19.01 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Z),X)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_70_linorder__le__cases,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( linorder(X_a)
% 18.95/19.01 => ! [X,Y] :
% 18.95/19.01 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 18.95/19.01 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_71_insertI1,axiom,
% 18.95/19.01 ! [X_b,A_2,B_1] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),B_1))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_72_insert__compr,axiom,
% 18.95/19.01 ! [X_b,A_2,B_1] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),B_1) = hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fdisj),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),A_2))),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(X_b,bool)),combc(X_b,fun(X_b,bool),bool),member(X_b)),B_1))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_73_insert__Collect,axiom,
% 18.95/19.01 ! [X_b,A_2,Pa] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa)) = hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fimplies),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),fNot),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),A_2)))),Pa)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_74_ext,axiom,
% 18.95/19.01 ! [X_b,X_c,F,G] :
% 18.95/19.01 ( ! [X_2] : hAPP(X_b,X_c,F,X_2) = hAPP(X_b,X_c,G,X_2)
% 18.95/19.01 => ti(fun(X_b,X_c),F) = ti(fun(X_b,X_c),G) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_75_mem__def,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 <=> hBOOL(hAPP(X_b,bool,A_3,X_1)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_76_Collect__def,axiom,
% 18.95/19.01 ! [X_b,Pa] : hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa) = ti(fun(X_b,bool),Pa) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_77_insert__absorb2,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_78_insert__commute,axiom,
% 18.95/19.01 ! [X_b,X_1,Y_2,A_3] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),Y_2),A_3)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),Y_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_79_insert__iff,axiom,
% 18.95/19.01 ! [X_b,A_2,B_3,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),A_3)))
% 18.95/19.01 <=> ( ti(X_b,A_2) = ti(X_b,B_3)
% 18.95/19.01 | hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_80_insert__code,axiom,
% 18.95/19.01 ! [X_b,Y_2,A_3,X_1] :
% 18.95/19.01 ( hBOOL(hAPP(X_b,bool,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),Y_2),A_3),X_1))
% 18.95/19.01 <=> ( ti(X_b,Y_2) = ti(X_b,X_1)
% 18.95/19.01 | hBOOL(hAPP(X_b,bool,A_3,X_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_81_insert__ident,axiom,
% 18.95/19.01 ! [X_b,B_1,X_1,A_3] :
% 18.95/19.01 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1))
% 18.95/19.01 => ( hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),B_1)
% 18.95/19.01 <=> ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_1) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_82_insertI2,axiom,
% 18.95/19.01 ! [X_b,B_3,A_2,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),B_1))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),B_1))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_83_insert__absorb,axiom,
% 18.95/19.01 ! [X_b,A_2,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),A_3) = ti(fun(X_b,bool),A_3) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_84_subset__refl,axiom,
% 18.95/19.01 ! [X_b,A_3] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),A_3)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_85_set__eq__subset,axiom,
% 18.95/19.01 ! [X_b,A_3,B_1] :
% 18.95/19.01 ( ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_1)
% 18.95/19.01 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 & hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),A_3)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_86_equalityD1,axiom,
% 18.95/19.01 ! [X_b,A_3,B_1] :
% 18.95/19.01 ( ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_1)
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_87_equalityD2,axiom,
% 18.95/19.01 ! [X_b,A_3,B_1] :
% 18.95/19.01 ( ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_1)
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),A_3)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_88_in__mono,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_89_set__rev__mp,axiom,
% 18.95/19.01 ! [X_b,B_1,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_90_set__mp,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_91_subset__trans,axiom,
% 18.95/19.01 ! [X_b,C_2,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),C_2))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),C_2)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_92_equalityE,axiom,
% 18.95/19.01 ! [X_b,A_3,B_1] :
% 18.95/19.01 ( ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_1)
% 18.95/19.01 => ~ ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 => ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),A_3)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_93_image__iff,axiom,
% 18.95/19.01 ! [X_b,X_c,Z_2,F,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),Z_2),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),A_3)))
% 18.95/19.01 <=> ? [X_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_2),A_3))
% 18.95/19.01 & ti(X_b,Z_2) = hAPP(X_c,X_b,F,X_2) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_94_imageI,axiom,
% 18.95/19.01 ! [X_c,X_b,F,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),hAPP(X_b,X_c,F,X_1)),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_95_rev__image__eqI,axiom,
% 18.95/19.01 ! [X_c,X_b,B_3,F,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => ( ti(X_c,B_3) = hAPP(X_b,X_c,F,X_1)
% 18.95/19.01 => hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),B_3),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_96_insert__compr__raw,axiom,
% 18.95/19.01 ! [X_b,X_2,Xa] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_2),Xa) = hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fdisj),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),X_2))),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(X_b,bool)),combc(X_b,fun(X_b,bool),bool),member(X_b)),Xa))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_97_image__image,axiom,
% 18.95/19.01 ! [X_c,X_b,X_d,F,G,A_3] : hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),hAPP(fun(X_d,bool),fun(X_c,bool),hAPP(fun(X_d,X_c),fun(fun(X_d,bool),fun(X_c,bool)),image(X_d,X_c),G),A_3)) = hAPP(fun(X_d,bool),fun(X_b,bool),hAPP(fun(X_d,X_b),fun(fun(X_d,bool),fun(X_b,bool)),image(X_d,X_b),hAPP(fun(X_d,X_c),fun(X_d,X_b),hAPP(fun(X_c,X_b),fun(fun(X_d,X_c),fun(X_d,X_b)),combb(X_c,X_b,X_d),F),G)),A_3) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_98_image__ident,axiom,
% 18.95/19.01 ! [X_b,Y_3] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,X_b),fun(fun(X_b,bool),fun(X_b,bool)),image(X_b,X_b),combi(X_b)),Y_3) = ti(fun(X_b,bool),Y_3) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_99_le__fun__def,axiom,
% 18.95/19.01 ! [X_b,X_c] :
% 18.95/19.01 ( ord(X_c)
% 18.95/19.01 => ! [F,G] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,X_c),bool,hAPP(fun(X_b,X_c),fun(fun(X_b,X_c),bool),ord_less_eq(fun(X_b,X_c)),F),G))
% 18.95/19.01 <=> ! [X_2] : hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,X_2)),hAPP(X_b,X_c,G,X_2))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_100_le__funD,axiom,
% 18.95/19.01 ! [X_b,X_c] :
% 18.95/19.01 ( ord(X_c)
% 18.95/19.01 => ! [X_1,F,G] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,X_c),bool,hAPP(fun(X_b,X_c),fun(fun(X_b,X_c),bool),ord_less_eq(fun(X_b,X_c)),F),G))
% 18.95/19.01 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,X_1)),hAPP(X_b,X_c,G,X_1))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_101_le__funE,axiom,
% 18.95/19.01 ! [X_b,X_c] :
% 18.95/19.01 ( ord(X_c)
% 18.95/19.01 => ! [X_1,F,G] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,X_c),bool,hAPP(fun(X_b,X_c),fun(fun(X_b,X_c),bool),ord_less_eq(fun(X_b,X_c)),F),G))
% 18.95/19.01 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,X_1)),hAPP(X_b,X_c,G,X_1))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_102_subset__insertI,axiom,
% 18.95/19.01 ! [X_b,B_1,A_2] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),B_1))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_103_insert__subset,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)),B_1))
% 18.95/19.01 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1))
% 18.95/19.01 & hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_104_subset__insert,axiom,
% 18.95/19.01 ! [X_b,B_1,X_1,A_3] :
% 18.95/19.01 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),B_1)))
% 18.95/19.01 <=> hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_105_subset__insertI2,axiom,
% 18.95/19.01 ! [X_b,B_3,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),B_1))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_106_insert__mono,axiom,
% 18.95/19.01 ! [X_b,A_2,C_2,D_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),C_2),D_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),C_2)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),D_3))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_107_image__insert,axiom,
% 18.95/19.01 ! [X_c,X_b,F,A_2,B_1] : hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),A_2),B_1)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),hAPP(X_c,X_b,F,A_2)),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),B_1)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_108_insert__image,axiom,
% 18.95/19.01 ! [X_c,X_b,F,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),hAPP(X_b,X_c,F,X_1)),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3)) = hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_109_subset__image__iff,axiom,
% 18.95/19.01 ! [X_b,X_c,B_1,F,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),A_3)))
% 18.95/19.01 <=> ? [AA] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(fun(X_c,bool),fun(fun(X_c,bool),bool),ord_less_eq(fun(X_c,bool)),AA),A_3))
% 18.95/19.01 & ti(fun(X_b,bool),B_1) = hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),AA) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_110_image__mono,axiom,
% 18.95/19.01 ! [X_c,X_b,F,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 => hBOOL(hAPP(fun(X_c,bool),bool,hAPP(fun(X_c,bool),fun(fun(X_c,bool),bool),ord_less_eq(fun(X_c,bool)),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3)),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),B_1))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_111_imageE,axiom,
% 18.95/19.01 ! [X_b,X_c,B_3,F,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_3),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),A_3)))
% 18.95/19.01 => ~ ! [X_2] :
% 18.95/19.01 ( ti(X_b,B_3) = hAPP(X_c,X_b,F,X_2)
% 18.95/19.01 => ~ hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_2),A_3)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_112_subsetI,axiom,
% 18.95/19.01 ! [X_b,B_1,A_3] :
% 18.95/19.01 ( ! [X_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),B_1)) )
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_113_image__subsetI,axiom,
% 18.95/19.01 ! [X_c,X_b,F,B_1,A_3] :
% 18.95/19.01 ( ! [X_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),hAPP(X_b,X_c,F,X_2)),B_1)) )
% 18.95/19.01 => hBOOL(hAPP(fun(X_c,bool),bool,hAPP(fun(X_c,bool),fun(fun(X_c,bool),bool),ord_less_eq(fun(X_c,bool)),hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),A_3)),B_1)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_114_le__funI,axiom,
% 18.95/19.01 ! [X_b,X_c] :
% 18.95/19.01 ( ord(X_c)
% 18.95/19.01 => ! [F,G] :
% 18.95/19.01 ( ! [X_2] : hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,X_2)),hAPP(X_b,X_c,G,X_2)))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,X_c),bool,hAPP(fun(X_b,X_c),fun(fun(X_b,X_c),bool),ord_less_eq(fun(X_b,X_c)),F),G)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_115_finite__nat__set__iff__bounded__le,axiom,
% 18.95/19.01 ! [N_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),N_2))
% 18.95/19.01 <=> ? [M_2] :
% 18.95/19.01 ! [X_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X_2),N_2))
% 18.95/19.01 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X_2),M_2)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_116_assms_I3_J,axiom,
% 18.95/19.01 ! [G_1,C_1] :
% 18.95/19.01 ( hBOOL(hAPP(com,bool,wt,C_1))
% 18.95/19.01 => ( ! [X_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),X_2),u))
% 18.95/19.01 => hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,G_1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,X_2)),bot_bot(fun(x_a,bool))))) )
% 18.95/19.01 => hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,G_1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(com,x_a,mgt,C_1)),bot_bot(fun(x_a,bool))))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_117_diff__eq__diff__less__eq,axiom,
% 18.95/19.01 ! [X_b] :
% 18.95/19.01 ( ordered_ab_group_add(X_b)
% 18.95/19.01 => ! [A_2,B_3,C_1,D_1] :
% 18.95/19.01 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),C_1),D_1)
% 18.95/19.01 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B_3))
% 18.95/19.01 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),C_1),D_1)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_118_less__eq__nat_Osimps_I2_J,axiom,
% 18.95/19.01 ! [M,Na] :
% 18.95/19.01 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M)),Na))
% 18.95/19.01 <=> hBOOL(hAPP(nat,bool,hAPP(fun(nat,bool),fun(nat,bool),hAPP(bool,fun(fun(nat,bool),fun(nat,bool)),nat_case(bool),fFalse),hAPP(nat,fun(nat,bool),ord_less_eq(nat),M)),Na)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_119_folding__image__simple__idem_Osubset__idem,axiom,
% 18.95/19.01 ! [X_c,X_b,B_1,A_3,F,Z_2,G,F_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite908156982e_idem(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(fun(X_c,bool),fun(fun(X_c,bool),bool),ord_less_eq(fun(X_c,bool)),B_1),A_3))
% 18.95/19.01 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(fun(X_c,bool),X_b,F_1,B_1)),hAPP(fun(X_c,bool),X_b,F_1,A_3)) = hAPP(fun(X_c,bool),X_b,F_1,A_3) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_120_folding__image__simple__idem_Oinsert__idem,axiom,
% 18.95/19.01 ! [X_c,X_b,X_1,A_3,F,Z_2,G,F_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite908156982e_idem(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 18.95/19.01 => hAPP(fun(X_c,bool),X_b,F_1,hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),X_1),A_3)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(X_c,X_b,G,X_1)),hAPP(fun(X_c,bool),X_b,F_1,A_3)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_121_emptyE,axiom,
% 18.95/19.01 ! [X_b,A_2] : ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),bot_bot(fun(X_b,bool)))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_122_finite__Diff,axiom,
% 18.95/19.01 ! [X_b,B_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_123_finite_OemptyI,axiom,
% 18.95/19.01 ! [X_b] : hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),bot_bot(fun(X_b,bool)))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_124_empty__subsetI,axiom,
% 18.95/19.01 ! [X_b,A_3] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),bot_bot(fun(X_b,bool))),A_3)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_125_equals0D,axiom,
% 18.95/19.01 ! [X_b,A_2,A_3] :
% 18.95/19.01 ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 18.95/19.01 => ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_126_Collect__empty__eq,axiom,
% 18.95/19.01 ! [X_b,Pa] :
% 18.95/19.01 ( hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa) = bot_bot(fun(X_b,bool))
% 18.95/19.01 <=> ! [X_2] : ~ hBOOL(hAPP(X_b,bool,Pa,X_2)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_127_Diff__cancel,axiom,
% 18.95/19.01 ! [X_b,A_3] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),A_3) = bot_bot(fun(X_b,bool)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_128_Diff__empty,axiom,
% 18.95/19.01 ! [X_b,A_3] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),bot_bot(fun(X_b,bool))) = ti(fun(X_b,bool),A_3) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_129_empty__iff,axiom,
% 18.95/19.01 ! [X_b,C_1] : ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),bot_bot(fun(X_b,bool)))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_130_empty__Collect__eq,axiom,
% 18.95/19.01 ! [X_b,Pa] :
% 18.95/19.01 ( bot_bot(fun(X_b,bool)) = hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa)
% 18.95/19.01 <=> ! [X_2] : ~ hBOOL(hAPP(X_b,bool,Pa,X_2)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_131_empty__Diff,axiom,
% 18.95/19.01 ! [X_b,A_3] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),bot_bot(fun(X_b,bool))),A_3) = bot_bot(fun(X_b,bool)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_132_ex__in__conv,axiom,
% 18.95/19.01 ! [X_b,A_3] :
% 18.95/19.01 ( ? [X_2] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 18.95/19.01 <=> ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_133_all__not__in__conv,axiom,
% 18.95/19.01 ! [X_b,A_3] :
% 18.95/19.01 ( ! [X_2] : ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 18.95/19.01 <=> ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_134_bot__apply,axiom,
% 18.95/19.01 ! [X_c,X_b] :
% 18.95/19.01 ( bot(X_b)
% 18.95/19.01 => ! [X_1] : hAPP(X_c,X_b,bot_bot(fun(X_c,X_b)),X_1) = bot_bot(X_b) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_135_empty__def,axiom,
% 18.95/19.01 ! [X_b] : bot_bot(fun(X_b,bool)) = hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(bool,fun(X_b,bool),combk(bool,X_b),fFalse)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_136_bot__fun__def,axiom,
% 18.95/19.01 ! [X_b,X_c] :
% 18.95/19.01 ( bot(X_c)
% 18.95/19.01 => ! [X_2] : hAPP(X_b,X_c,bot_bot(fun(X_b,X_c)),X_2) = bot_bot(X_c) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_137_insert__Diff,axiom,
% 18.95/19.01 ! [X_b,A_2,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool))))) = ti(fun(X_b,bool),A_3) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_138_Diff__insert__absorb,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3] :
% 18.95/19.01 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))) = ti(fun(X_b,bool),A_3) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_139_insert__Diff__single,axiom,
% 18.95/19.01 ! [X_b,A_2,A_3] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool))))) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),A_3) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_140_Diff__insert2,axiom,
% 18.95/19.01 ! [X_b,A_3,A_2,B_1] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),B_1)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool))))),B_1) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_141_Diff__insert,axiom,
% 18.95/19.01 ! [X_b,A_3,A_2,B_1] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),B_1)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool)))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_142_folding__image__simple__idem_Oidem,axiom,
% 18.95/19.01 ! [X_c,X_b,X_1,F,Z_2,G,F_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite908156982e_idem(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.01 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),X_1) = ti(X_b,X_1) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_143_diff__single__insert,axiom,
% 18.95/19.01 ! [X_b,A_3,X_1,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool))))),B_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),B_1))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_144_subset__insert__iff,axiom,
% 18.95/19.01 ! [X_b,A_3,X_1,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),B_1)))
% 18.95/19.01 <=> ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool))))),B_1)) )
% 18.95/19.01 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_145_finite__Diff2,axiom,
% 18.95/19.01 ! [X_b,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)))
% 18.95/19.01 <=> hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_146_insert__Diff1,axiom,
% 18.95/19.01 ! [X_b,A_3,X_1,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)),B_1) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_147_insert__Diff__if,axiom,
% 18.95/19.01 ! [X_b,A_3,X_1,B_1] :
% 18.95/19.01 ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)),B_1) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1) )
% 18.95/19.01 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)),B_1) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_148_double__diff,axiom,
% 18.95/19.01 ! [X_b,C_2,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),C_2))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),B_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),C_2),A_3)) = ti(fun(X_b,bool),A_3) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_149_Diff__mono,axiom,
% 18.95/19.01 ! [X_b,D_3,B_1,A_3,C_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),C_2))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),D_3),B_1))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),C_2),D_3))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_150_Diff__subset,axiom,
% 18.95/19.01 ! [X_b,A_3,B_1] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)),A_3)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_151_singleton__inject,axiom,
% 18.95/19.01 ! [X_b,A_2,B_3] :
% 18.95/19.01 ( hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool))) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),bot_bot(fun(X_b,bool)))
% 18.95/19.01 => ti(X_b,A_2) = ti(X_b,B_3) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_152_singletonE,axiom,
% 18.95/19.01 ! [X_b,B_3,A_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool)))))
% 18.95/19.01 => ti(X_b,B_3) = ti(X_b,A_2) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_153_doubleton__eq__iff,axiom,
% 18.95/19.01 ! [X_b,A_2,B_3,C_1,D_1] :
% 18.95/19.01 ( hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),bot_bot(fun(X_b,bool)))) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),C_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),D_1),bot_bot(fun(X_b,bool))))
% 18.95/19.01 <=> ( ( ti(X_b,A_2) = ti(X_b,C_1)
% 18.95/19.01 & ti(X_b,B_3) = ti(X_b,D_1) )
% 18.95/19.01 | ( ti(X_b,A_2) = ti(X_b,D_1)
% 18.95/19.01 & ti(X_b,B_3) = ti(X_b,C_1) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_154_singleton__iff,axiom,
% 18.95/19.01 ! [X_b,B_3,A_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool)))))
% 18.95/19.01 <=> ti(X_b,B_3) = ti(X_b,A_2) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_155_insert__not__empty,axiom,
% 18.95/19.01 ! [X_b,A_2,A_3] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),A_3) != bot_bot(fun(X_b,bool)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_156_empty__not__insert,axiom,
% 18.95/19.01 ! [X_b,A_2,A_3] : bot_bot(fun(X_b,bool)) != hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),A_3) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_157_subset__empty,axiom,
% 18.95/19.01 ! [X_b,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),bot_bot(fun(X_b,bool))))
% 18.95/19.01 <=> ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_158_image__is__empty,axiom,
% 18.95/19.01 ! [X_c,X_b,F,A_3] :
% 18.95/19.01 ( hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),A_3) = bot_bot(fun(X_b,bool))
% 18.95/19.01 <=> ti(fun(X_c,bool),A_3) = bot_bot(fun(X_c,bool)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_159_image__empty,axiom,
% 18.95/19.01 ! [X_c,X_b,F] : hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),bot_bot(fun(X_c,bool))) = bot_bot(fun(X_b,bool)) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_160_empty__is__image,axiom,
% 18.95/19.01 ! [X_b,X_c,F,A_3] :
% 18.95/19.01 ( bot_bot(fun(X_b,bool)) = hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),A_3)
% 18.95/19.01 <=> ti(fun(X_c,bool),A_3) = bot_bot(fun(X_c,bool)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_161_le__bot,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( bot(X_a)
% 18.95/19.01 => ! [A_1] :
% 18.95/19.01 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),bot_bot(X_a)))
% 18.95/19.01 => ti(X_a,A_1) = bot_bot(X_a) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_162_bot__unique,axiom,
% 18.95/19.01 ! [X_b] :
% 18.95/19.01 ( bot(X_b)
% 18.95/19.01 => ! [A_2] :
% 18.95/19.01 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),bot_bot(X_b)))
% 18.95/19.01 <=> ti(X_b,A_2) = bot_bot(X_b) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_163_bot__least,axiom,
% 18.95/19.01 ! [X_a] :
% 18.95/19.01 ( bot(X_a)
% 18.95/19.01 => ! [A_1] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),bot_bot(X_a)),A_1)) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_164_Collect__conv__if,axiom,
% 18.95/19.01 ! [X_b,Pa,A_2] :
% 18.95/19.01 ( ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),A_2))),Pa)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool))) )
% 18.95/19.01 & ( ~ hBOOL(hAPP(X_b,bool,Pa,A_2))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),A_2))),Pa)) = bot_bot(fun(X_b,bool)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_165_Collect__conv__if2,axiom,
% 18.95/19.01 ! [X_b,Pa,A_2] :
% 18.95/19.01 ( ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),hAPP(X_b,fun(X_b,bool),fequal(X_b),A_2))),Pa)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool))) )
% 18.95/19.01 & ( ~ hBOOL(hAPP(X_b,bool,Pa,A_2))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),hAPP(X_b,fun(X_b,bool),fequal(X_b),A_2))),Pa)) = bot_bot(fun(X_b,bool)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_166_singleton__conv,axiom,
% 18.95/19.01 ! [X_b,A_2] : hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),A_2)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_167_singleton__conv2,axiom,
% 18.95/19.01 ! [X_b,A_2] : hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(X_b,fun(X_b,bool),fequal(X_b),A_2)) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),bot_bot(fun(X_b,bool))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_168_card__Suc__Diff1,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hAPP(nat,nat,suc,hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))) = hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_169_card__insert,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.01 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(nat,nat,suc,hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_170_card__Diff1__le,axiom,
% 18.95/19.01 ! [X_b,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.01 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_171_finite__Diff__insert,axiom,
% 18.95/19.01 ! [X_b,A_3,A_2,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),B_1))))
% 18.95/19.01 <=> hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_172_image__diff__subset,axiom,
% 18.95/19.01 ! [X_b,X_c,F,A_3,B_1] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),A_3)),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),B_1))),hAPP(fun(X_c,bool),fun(X_b,bool),hAPP(fun(X_c,X_b),fun(fun(X_c,bool),fun(X_b,bool)),image(X_c,X_b),F),hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(fun(X_c,bool),fun(fun(X_c,bool),fun(X_c,bool)),minus_minus(fun(X_c,bool)),A_3),B_1)))) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_173_subset__singletonD,axiom,
% 18.95/19.01 ! [X_b,A_3,X_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))
% 18.95/19.01 => ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 18.95/19.01 | ti(fun(X_b,bool),A_3) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_174_nat__case__Suc,axiom,
% 18.95/19.01 ! [X_b,F1,F2,Nat_3] : hAPP(nat,X_b,hAPP(fun(nat,X_b),fun(nat,X_b),hAPP(X_b,fun(fun(nat,X_b),fun(nat,X_b)),nat_case(X_b),F1),F2),hAPP(nat,nat,suc,Nat_3)) = hAPP(nat,X_b,F2,Nat_3) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_175_image__constant,axiom,
% 18.95/19.01 ! [X_c,X_b,C_1,X_1,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),hAPP(X_c,fun(X_b,X_c),combk(X_c,X_b),C_1)),A_3) = hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),C_1),bot_bot(fun(X_c,bool))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_176_image__constant__conv,axiom,
% 18.95/19.01 ! [X_c,X_b,C_1,A_3] :
% 18.95/19.01 ( ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),hAPP(X_c,fun(X_b,X_c),combk(X_c,X_b),C_1)),A_3) = bot_bot(fun(X_c,bool)) )
% 18.95/19.01 & ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 18.95/19.01 => hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),hAPP(X_c,fun(X_b,X_c),combk(X_c,X_b),C_1)),A_3) = hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),C_1),bot_bot(fun(X_c,bool))) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_177_folding__image__simple__idem_Oin__idem,axiom,
% 18.95/19.01 ! [X_c,X_b,X_1,A_3,F,Z_2,G,F_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite908156982e_idem(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_1),A_3))
% 18.95/19.01 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(X_c,X_b,G,X_1)),hAPP(fun(X_c,bool),X_b,F_1,A_3)) = hAPP(fun(X_c,bool),X_b,F_1,A_3) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_178_diff__eq__diff__eq,axiom,
% 18.95/19.01 ! [X_b] :
% 18.95/19.01 ( ab_group_add(X_b)
% 18.95/19.01 => ! [A_2,B_3,C_1,D_1] :
% 18.95/19.01 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),C_1),D_1)
% 18.95/19.01 => ( ti(X_b,A_2) = ti(X_b,B_3)
% 18.95/19.01 <=> ti(X_b,C_1) = ti(X_b,D_1) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_179_card__Diff__subset,axiom,
% 18.95/19.01 ! [X_b,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),A_3))
% 18.95/19.01 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),hAPP(fun(X_b,bool),nat,finite_card(X_b),B_1)) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_180_diff__card__le__card__Diff,axiom,
% 18.95/19.01 ! [X_b,A_3,B_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 18.95/19.01 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),hAPP(fun(X_b,bool),nat,finite_card(X_b),B_1))),hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_181_finite__subset__induct,axiom,
% 18.95/19.01 ! [X_b,Pa,A_3,F_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),F_1),A_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,bot_bot(fun(X_b,bool))))
% 18.95/19.01 => ( ! [A_4,F_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_4),A_3))
% 18.95/19.01 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_4),F_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_4),F_3))) ) ) ) )
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_1)) ) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_182_assms_I2_J,axiom,
% 18.95/19.01 ! [Pn,G_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,Pn)),G_1)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(com,x_a,mgt,hAPP(option(com),com,the_1(com),hAPP(pname,option(com),body,Pn)))),bot_bot(fun(x_a,bool)))))
% 18.95/19.01 => hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,G_1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,Pn)),bot_bot(fun(x_a,bool))))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_183_finite__empty__induct,axiom,
% 18.95/19.01 ! [X_b,Pa,A_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,A_3))
% 18.95/19.01 => ( ! [A_4,A_5] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_5))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_4),A_5))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,A_5))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_5),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_4),bot_bot(fun(X_b,bool)))))) ) ) )
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,bot_bot(fun(X_b,bool)))) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_184_finite__induct,axiom,
% 18.95/19.01 ! [X_b,Pa,F_1] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_1))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,bot_bot(fun(X_b,bool))))
% 18.95/19.01 => ( ! [X_2,F_3] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_3))
% 18.95/19.01 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),F_3))
% 18.95/19.01 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_3))
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_2),F_3))) ) ) )
% 18.95/19.01 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_1)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_185_finite_Osimps,axiom,
% 18.95/19.01 ! [X_b,A_2] :
% 18.95/19.01 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_2))
% 18.95/19.01 <=> ( ti(fun(X_b,bool),A_2) = bot_bot(fun(X_b,bool))
% 18.95/19.01 | ? [A_5,A_4] :
% 18.95/19.01 ( ti(fun(X_b,bool),A_2) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_4),A_5)
% 18.95/19.01 & hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_5)) ) ) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_186_finite__less__ub,axiom,
% 18.95/19.01 ! [U,F] :
% 18.95/19.01 ( ! [N_1] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N_1),hAPP(nat,nat,F,N_1)))
% 18.95/19.01 => hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),hAPP(fun(nat,nat),fun(nat,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(nat,nat),fun(nat,fun(nat,bool))),combb(nat,fun(nat,bool),nat),ord_less_eq(nat)),F)),U)))) ) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_187_the__elem__eq,axiom,
% 18.95/19.01 ! [X_b,X_1] : hAPP(fun(X_b,bool),X_b,the_elem(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))) = ti(X_b,X_1) ).
% 18.95/19.01
% 18.95/19.01 fof(fact_188_nonempty__iff,axiom,
% 18.95/19.01 ! [X_b,A_3] :
% 18.95/19.01 ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 18.95/19.01 <=> ? [X_2,B_4] :
% 18.95/19.01 ( ti(fun(X_b,bool),A_3) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_2),B_4)
% 18.95/19.01 & ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),B_4)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_189_assms_I4_J,axiom,
% 18.95/19.02 ! [Pn] :
% 18.95/19.02 ( hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),Pn),u))
% 18.95/19.02 => hBOOL(hAPP(com,bool,wt,hAPP(option(com),com,the_1(com),hAPP(pname,option(com),body,Pn)))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_190_DiffE,axiom,
% 18.95/19.02 ! [X_b,C_1,A_3,B_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)))
% 18.95/19.02 => ~ ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 18.95/19.02 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_1)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_191_DiffI,axiom,
% 18.95/19.02 ! [X_b,B_1,C_1,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 18.95/19.02 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_1))
% 18.95/19.02 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_192_DiffD2,axiom,
% 18.95/19.02 ! [X_b,C_1,A_3,B_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)))
% 18.95/19.02 => ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_1)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_193_DiffD1,axiom,
% 18.95/19.02 ! [X_b,C_1,A_3,B_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)))
% 18.95/19.02 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_194_Diff__idemp,axiom,
% 18.95/19.02 ! [X_b,A_3,B_1] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)),B_1) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_195_Diff__iff,axiom,
% 18.95/19.02 ! [X_b,C_1,A_3,B_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1)))
% 18.95/19.02 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 18.95/19.02 & ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_1)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_196_set__diff__eq,axiom,
% 18.95/19.02 ! [X_b,A_3,B_1] : hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1) = hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(X_b,bool)),combc(X_b,fun(X_b,bool),bool),member(X_b)),A_3))),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),fNot),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(X_b,bool)),combc(X_b,fun(X_b,bool),bool),member(X_b)),B_1)))) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_197_folding__one_Oinsert__remove,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite_folding_one(X_b),F),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( ( hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))) = bot_bot(fun(X_b,bool))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,F_1,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = ti(X_b,X_1) )
% 18.95/19.02 & ( hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,F_1,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_1,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))) ) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_198_folding__one_Oremove,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite_folding_one(X_b),F),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => ( ( hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))) = bot_bot(fun(X_b,bool))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,F_1,A_3) = ti(X_b,X_1) )
% 18.95/19.02 & ( hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,F_1,A_3) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_1,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))) ) ) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_199_folding__image__simple_Oinsert__remove,axiom,
% 18.95/19.02 ! [X_c,X_b,X_1,A_3,F,Z_2,G,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite1357897459simple(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 18.95/19.02 => hAPP(fun(X_c,bool),X_b,F_1,hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),X_1),A_3)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(X_c,X_b,G,X_1)),hAPP(fun(X_c,bool),X_b,F_1,hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(fun(X_c,bool),fun(fun(X_c,bool),fun(X_c,bool)),minus_minus(fun(X_c,bool)),A_3),hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),X_1),bot_bot(fun(X_c,bool)))))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_200_folding__image__simple_Oremove,axiom,
% 18.95/19.02 ! [X_c,X_b,X_1,A_3,F,Z_2,G,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite1357897459simple(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_1),A_3))
% 18.95/19.02 => hAPP(fun(X_c,bool),X_b,F_1,A_3) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(X_c,X_b,G,X_1)),hAPP(fun(X_c,bool),X_b,F_1,hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(fun(X_c,bool),fun(fun(X_c,bool),fun(X_c,bool)),minus_minus(fun(X_c,bool)),A_3),hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),X_1),bot_bot(fun(X_c,bool)))))) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_201_fun__diff__def,axiom,
% 18.95/19.02 ! [X_b,X_c] :
% 18.95/19.02 ( minus(X_c)
% 18.95/19.02 => ! [A_3,B_1,X_2] : hAPP(X_b,X_c,hAPP(fun(X_b,X_c),fun(X_b,X_c),hAPP(fun(X_b,X_c),fun(fun(X_b,X_c),fun(X_b,X_c)),minus_minus(fun(X_b,X_c)),A_3),B_1),X_2) = hAPP(X_c,X_c,hAPP(X_c,fun(X_c,X_c),minus_minus(X_c),hAPP(X_b,X_c,A_3,X_2)),hAPP(X_b,X_c,B_1,X_2)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_202_minus__apply,axiom,
% 18.95/19.02 ! [X_c,X_b] :
% 18.95/19.02 ( minus(X_b)
% 18.95/19.02 => ! [A_3,B_1,X_1] : hAPP(X_c,X_b,hAPP(fun(X_c,X_b),fun(X_c,X_b),hAPP(fun(X_c,X_b),fun(fun(X_c,X_b),fun(X_c,X_b)),minus_minus(fun(X_c,X_b)),A_3),B_1),X_1) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),hAPP(X_c,X_b,A_3,X_1)),hAPP(X_c,X_b,B_1,X_1)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_203_card__Diff__singleton__if,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool))))) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),one_one(nat)) )
% 18.95/19.02 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool))))) = hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_204_card__Diff__singleton,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool))))) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),one_one(nat)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_205_one__reorient,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( one(X_b)
% 18.95/19.02 => ! [X_1] :
% 18.95/19.02 ( one_one(X_b) = ti(X_b,X_1)
% 18.95/19.02 <=> ti(X_b,X_1) = one_one(X_b) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_206_folding__image__simple_Oempty,axiom,
% 18.95/19.02 ! [X_c,X_b,F,Z_2,G,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite1357897459simple(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.02 => hAPP(fun(X_c,bool),X_b,F_1,bot_bot(fun(X_c,bool))) = ti(X_b,Z_2) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_207_diff__Suc__1,axiom,
% 18.95/19.02 ! [N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,N)),one_one(nat)) = N ).
% 18.95/19.02
% 18.95/19.02 fof(fact_208_diff__Suc__eq__diff__pred,axiom,
% 18.95/19.02 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),hAPP(nat,nat,suc,N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),one_one(nat))),N) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_209_folding__one_Osingleton,axiom,
% 18.95/19.02 ! [X_b,X_1,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite_folding_one(X_b),F),F_1))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,F_1,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))) = ti(X_b,X_1) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_210_folding__image__simple_Oinsert,axiom,
% 18.95/19.02 ! [X_c,X_b,X_1,A_3,F,Z_2,G,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite1357897459simple(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 18.95/19.02 => ( ~ hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_1),A_3))
% 18.95/19.02 => hAPP(fun(X_c,bool),X_b,F_1,hAPP(fun(X_c,bool),fun(X_c,bool),hAPP(X_c,fun(fun(X_c,bool),fun(X_c,bool)),insert(X_c),X_1),A_3)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(X_c,X_b,G,X_1)),hAPP(fun(X_c,bool),X_b,F_1,A_3)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_211_card__Diff__insert,axiom,
% 18.95/19.02 ! [X_b,B_1,A_2,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3))
% 18.95/19.02 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),B_1))
% 18.95/19.02 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),B_1))) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),B_1))),one_one(nat)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_212_folding__one_Oinsert,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite_folding_one(X_b),F),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,F_1,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_1,A_3)) ) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_213_folding__one_Oclosed,axiom,
% 18.95/19.02 ! [X_b,A_3,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite_folding_one(X_b),F),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => ( ! [X_2,Y_1] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_2),Y_1)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),Y_1),bot_bot(fun(X_b,bool))))))
% 18.95/19.02 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(fun(X_b,bool),X_b,F_1,A_3)),A_3)) ) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_214_folding__image__simple_Oneutral,axiom,
% 18.95/19.02 ! [X_c,X_b,A_3,F,Z_2,G,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite1357897459simple(X_b,X_c),F),Z_2),G),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 18.95/19.02 => ( ! [X_2] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_2),A_3))
% 18.95/19.02 => hAPP(X_c,X_b,G,X_2) = ti(X_b,Z_2) )
% 18.95/19.02 => hAPP(fun(X_c,bool),X_b,F_1,A_3) = ti(X_b,Z_2) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_215_card_Oremove,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_216_card_Oinsert__remove,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_217_folding__one__idem_Osubset__idem,axiom,
% 18.95/19.02 ! [X_b,B_1,A_3,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite2073411215e_idem(X_b),F),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( ti(fun(X_b,bool),B_1) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),A_3))
% 18.95/19.02 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(fun(X_b,bool),X_b,F_1,B_1)),hAPP(fun(X_b,bool),X_b,F_1,A_3)) = hAPP(fun(X_b,bool),X_b,F_1,A_3) ) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_218_folding__one__idem_Oinsert__idem,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite2073411215e_idem(X_b),F),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,F_1,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_1,A_3)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_219_finite__ne__induct,axiom,
% 18.95/19.02 ! [X_b,Pa,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_1))
% 18.95/19.02 => ( ti(fun(X_b,bool),F_1) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => ( ! [X_2] : hBOOL(hAPP(fun(X_b,bool),bool,Pa,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_2),bot_bot(fun(X_b,bool)))))
% 18.95/19.02 => ( ! [X_2,F_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),F_3))
% 18.95/19.02 => ( ti(fun(X_b,bool),F_3) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),F_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_3))
% 18.95/19.02 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_2),F_3))) ) ) ) )
% 18.95/19.02 => hBOOL(hAPP(fun(X_b,bool),bool,Pa,F_1)) ) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_220_the__elem__def,axiom,
% 18.95/19.02 ! [X_b,X_3] : hAPP(fun(X_b,bool),X_b,the_elem(X_b),X_3) = hAPP(fun(X_b,bool),X_b,the(X_b),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,bool),hAPP(fun(fun(X_b,bool),bool),fun(fun(X_b,fun(X_b,bool)),fun(X_b,bool)),combb(fun(X_b,bool),bool,X_b),hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),fequal(fun(X_b,bool)),X_3)),hAPP(fun(X_b,bool),fun(X_b,fun(X_b,bool)),hAPP(fun(X_b,fun(fun(X_b,bool),fun(X_b,bool))),fun(fun(X_b,bool),fun(X_b,fun(X_b,bool))),combc(X_b,fun(X_b,bool),fun(X_b,bool)),insert(X_b)),bot_bot(fun(X_b,bool))))) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_221_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( ab_semigroup_add(X_a)
% 18.95/19.02 => ! [A_1,B,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_222_add__left__cancel,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( cancel_semigroup_add(X_b)
% 18.95/19.02 => ! [A_2,B_3,C_1] :
% 18.95/19.02 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),B_3) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),C_1)
% 18.95/19.02 <=> ti(X_b,B_3) = ti(X_b,C_1) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_223_add__right__cancel,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( cancel_semigroup_add(X_b)
% 18.95/19.02 => ! [B_3,A_2,C_1] :
% 18.95/19.02 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),B_3),A_2) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),C_1),A_2)
% 18.95/19.02 <=> ti(X_b,B_3) = ti(X_b,C_1) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_224_add__left__imp__eq,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( cancel_semigroup_add(X_a)
% 18.95/19.02 => ! [A_1,B,C] :
% 18.95/19.02 ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)
% 18.95/19.02 => ti(X_a,B) = ti(X_a,C) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_225_add__imp__eq,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( cancel146912293up_add(X_a)
% 18.95/19.02 => ! [A_1,B,C] :
% 18.95/19.02 ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)
% 18.95/19.02 => ti(X_a,B) = ti(X_a,C) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_226_add__right__imp__eq,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( cancel_semigroup_add(X_a)
% 18.95/19.02 => ! [B,A_1,C] :
% 18.95/19.02 ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),A_1) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)
% 18.95/19.02 => ti(X_a,B) = ti(X_a,C) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_227_folding__one__idem_Oidem,axiom,
% 18.95/19.02 ! [X_b,X_1,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite2073411215e_idem(X_b),F),F_1))
% 18.95/19.02 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),X_1) = ti(X_b,X_1) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_228_nat__add__commute,axiom,
% 18.95/19.02 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M_1) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_229_nat__add__left__commute,axiom,
% 18.95/19.02 ! [X,Y,Z] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X),Z)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_230_nat__add__assoc,axiom,
% 18.95/19.02 ! [M_1,N,K_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N)),K_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),K_1)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_231_nat__add__left__cancel,axiom,
% 18.95/19.02 ! [K,M,Na] :
% 18.95/19.02 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),M) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),Na)
% 18.95/19.02 <=> M = Na ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_232_nat__add__right__cancel,axiom,
% 18.95/19.02 ! [M,K,Na] :
% 18.95/19.02 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Na),K)
% 18.95/19.02 <=> M = Na ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_233_add__le__cancel__right,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( ordere236663937imp_le(X_b)
% 18.95/19.02 => ! [A_2,C_1,B_3] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),C_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),B_3),C_1)))
% 18.95/19.02 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B_3)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_234_add__le__cancel__left,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( ordere236663937imp_le(X_b)
% 18.95/19.02 => ! [C_1,A_2,B_3] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),C_1),A_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),C_1),B_3)))
% 18.95/19.02 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B_3)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_235_add__right__mono,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( ordere779506340up_add(X_a)
% 18.95/19.02 => ! [C,A_1,B] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_236_add__left__mono,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( ordere779506340up_add(X_a)
% 18.95/19.02 => ! [C,A_1,B] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_237_add__mono,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( ordere779506340up_add(X_a)
% 18.95/19.02 => ! [C,D,A_1,B] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 18.95/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),D))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D))) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_238_add__le__imp__le__right,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( ordere236663937imp_le(X_a)
% 18.95/19.02 => ! [A_1,C,B] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_239_add__le__imp__le__left,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( ordere236663937imp_le(X_a)
% 18.95/19.02 => ! [C,A_1,B] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B)))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_240_diff__add__cancel,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( group_add(X_a)
% 18.95/19.02 => ! [A_1,B] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),B)),B) = ti(X_a,A_1) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_241_add__diff__cancel,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( group_add(X_a)
% 18.95/19.02 => ! [A_1,B] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),B) = ti(X_a,A_1) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_242_add__Suc__right,axiom,
% 18.95/19.02 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),hAPP(nat,nat,suc,N)) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_243_add__Suc,axiom,
% 18.95/19.02 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,M_1)),N) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_244_add__Suc__shift,axiom,
% 18.95/19.02 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,M_1)),N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),hAPP(nat,nat,suc,N)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_245_le__add2,axiom,
% 18.95/19.02 ! [N,M_1] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N))) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_246_le__add1,axiom,
% 18.95/19.02 ! [N,M_1] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M_1))) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_247_le__iff__add,axiom,
% 18.95/19.02 ! [M,Na] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na))
% 18.95/19.02 <=> ? [K_2] : Na = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K_2) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_248_nat__add__left__cancel__le,axiom,
% 18.95/19.02 ! [K,M,Na] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),Na)))
% 18.95/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_249_trans__le__add1,axiom,
% 18.95/19.02 ! [M_1,I_2,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),M_1))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_250_trans__le__add2,axiom,
% 18.95/19.02 ! [M_1,I_2,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),J))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_251_add__le__mono1,axiom,
% 18.95/19.02 ! [K_1,I_2,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K_1))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_252_add__le__mono,axiom,
% 18.95/19.02 ! [K_1,L_1,I_2,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 18.95/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),L_1))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),L_1))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_253_add__leD2,axiom,
% 18.95/19.02 ! [M_1,K_1,N] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_1)),N))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),N)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_254_add__leD1,axiom,
% 18.95/19.02 ! [M_1,K_1,N] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_1)),N))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_255_add__leE,axiom,
% 18.95/19.02 ! [M_1,K_1,N] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_1)),N))
% 18.95/19.02 => ~ ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 18.95/19.02 => ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),N)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_256_diff__add__inverse2,axiom,
% 18.95/19.02 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N)),N) = M_1 ).
% 18.95/19.02
% 18.95/19.02 fof(fact_257_diff__add__inverse,axiom,
% 18.95/19.02 ! [N,M_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M_1)),N) = M_1 ).
% 18.95/19.02
% 18.95/19.02 fof(fact_258_diff__diff__left,axiom,
% 18.95/19.02 ! [I_2,J,K_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),J)),K_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K_1)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_259_diff__cancel,axiom,
% 18.95/19.02 ! [K_1,M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_260_diff__cancel2,axiom,
% 18.95/19.02 ! [M_1,K_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_261_diff__diff__right,axiom,
% 18.95/19.02 ! [I_2,K_1,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),J))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K_1)),J) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_262_le__diff__conv,axiom,
% 18.95/19.02 ! [J_1,K,I_1] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_1),K)),I_1))
% 18.95/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),J_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_263_le__add__diff,axiom,
% 18.95/19.02 ! [M_1,K_1,N] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),N))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M_1)),K_1))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_264_le__add__diff__inverse,axiom,
% 18.95/19.02 ! [N,M_1] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M_1))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)) = M_1 ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_265_add__diff__assoc,axiom,
% 18.95/19.02 ! [I_2,K_1,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),J))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K_1) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_266_le__diff__conv2,axiom,
% 18.95/19.02 ! [I_1,K,J_1] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),J_1))
% 18.95/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_1),K)))
% 18.95/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K)),J_1)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_267_le__add__diff__inverse2,axiom,
% 18.95/19.02 ! [N,M_1] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M_1))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)),N) = M_1 ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_268_le__imp__diff__is__add,axiom,
% 18.95/19.02 ! [K,I_1,J_1] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 18.95/19.02 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_1),I_1) = K
% 18.95/19.02 <=> J_1 = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),I_1) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_269_diff__add__assoc,axiom,
% 18.95/19.02 ! [I_2,K_1,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),J))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K_1)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_270_add__diff__assoc2,axiom,
% 18.95/19.02 ! [I_2,K_1,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),J))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K_1)),I_2) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),K_1) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_271_diff__add__assoc2,axiom,
% 18.95/19.02 ! [I_2,K_1,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),J))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),K_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K_1)),I_2) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_272_Suc__eq__plus1__left,axiom,
% 18.95/19.02 ! [N] : hAPP(nat,nat,suc,N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),N) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_273_Suc__eq__plus1,axiom,
% 18.95/19.02 ! [N] : hAPP(nat,nat,suc,N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),one_one(nat)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_274_folding__one__idem_Oin__idem,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite2073411215e_idem(X_b),F),F_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_1),hAPP(fun(X_b,bool),X_b,F_1,A_3)) = hAPP(fun(X_b,bool),X_b,F_1,A_3) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_275_diff__Suc__diff__eq1,axiom,
% 18.95/19.02 ! [M_1,K_1,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),J))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K_1))) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_1)),hAPP(nat,nat,suc,J)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_276_diff__Suc__diff__eq2,axiom,
% 18.95/19.02 ! [M_1,K_1,J] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),J))
% 18.95/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),K_1))),M_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,J)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),M_1)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_277_card_Oinsert,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),A_3)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_278_folding__one__idem_Ohom__commute,axiom,
% 18.95/19.02 ! [X_b,N_2,H,F,F_1] :
% 18.95/19.02 ( hBOOL(hAPP(fun(fun(X_b,bool),X_b),bool,hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(fun(X_b,bool),X_b),bool),finite2073411215e_idem(X_b),F),F_1))
% 18.95/19.02 => ( ! [X_2,Y_1] : hAPP(X_b,X_b,H,hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,X_2),Y_1)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),F,hAPP(X_b,X_b,H,X_2)),hAPP(X_b,X_b,H,Y_1))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),N_2))
% 18.95/19.02 => ( ti(fun(X_b,bool),N_2) != bot_bot(fun(X_b,bool))
% 18.95/19.02 => hAPP(X_b,X_b,H,hAPP(fun(X_b,bool),X_b,F_1,N_2)) = hAPP(fun(X_b,bool),X_b,F_1,hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,X_b),fun(fun(X_b,bool),fun(X_b,bool)),image(X_b,X_b),H),N_2)) ) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_279_termination__basic__simps_I4_J,axiom,
% 18.95/19.02 ! [Y,X,Z] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X),Z))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_280_termination__basic__simps_I3_J,axiom,
% 18.95/19.02 ! [Z,X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X),Y))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_281_flat__lub__def,axiom,
% 18.95/19.02 ! [X_b,A_3,B_3] :
% 18.95/19.02 ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),bot_bot(fun(X_b,bool)))))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,hAPP(X_b,fun(fun(X_b,bool),X_b),partial_flat_lub(X_b),B_3),A_3) = ti(X_b,B_3) )
% 18.95/19.02 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),bot_bot(fun(X_b,bool)))))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,hAPP(X_b,fun(fun(X_b,bool),X_b),partial_flat_lub(X_b),B_3),A_3) = hAPP(fun(X_b,bool),X_b,the(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(X_b,bool)),combc(X_b,fun(X_b,bool),bool),member(X_b)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_3),bot_bot(fun(X_b,bool)))))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_282_comp__fun__idem__remove,axiom,
% 18.95/19.02 ! [X_b] : hBOOL(hAPP(fun(X_b,fun(fun(X_b,bool),fun(X_b,bool))),bool,finite_comp_fun_idem(X_b,fun(X_b,bool)),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(fun(X_b,bool),fun(X_b,bool))),hAPP(fun(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool))),fun(fun(X_b,fun(X_b,bool)),fun(X_b,fun(fun(X_b,bool),fun(X_b,bool)))),combb(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),X_b),hAPP(fun(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool))),fun(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool))),combc(fun(X_b,bool),fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)))),hAPP(fun(X_b,bool),fun(X_b,fun(X_b,bool)),hAPP(fun(X_b,fun(fun(X_b,bool),fun(X_b,bool))),fun(fun(X_b,bool),fun(X_b,fun(X_b,bool))),combc(X_b,fun(X_b,bool),fun(X_b,bool)),insert(X_b)),bot_bot(fun(X_b,bool)))))) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_283_If__def,axiom,
% 18.95/19.02 ! [X_b,X_1,Y_2,Pa] :
% 18.95/19.02 ( ( hBOOL(Pa)
% 18.95/19.02 => ti(X_b,X_1) = hAPP(fun(X_b,bool),X_b,the(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),hAPP(bool,fun(bool,bool),fimplies,Pa)),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),X_1)))),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),hAPP(bool,fun(bool,bool),fimplies,hAPP(bool,bool,fNot,Pa))),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),Y_2)))) )
% 18.95/19.02 & ( ~ hBOOL(Pa)
% 18.95/19.02 => ti(X_b,Y_2) = hAPP(fun(X_b,bool),X_b,the(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,bool)),combs(X_b,bool,bool),hAPP(fun(X_b,bool),fun(X_b,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X_b,bool),fun(X_b,fun(bool,bool))),combb(bool,fun(bool,bool),X_b),fconj),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),hAPP(bool,fun(bool,bool),fimplies,Pa)),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),X_1)))),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(bool,bool),fun(fun(X_b,bool),fun(X_b,bool)),combb(bool,bool,X_b),hAPP(bool,fun(bool,bool),fimplies,hAPP(bool,bool,fNot,Pa))),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),Y_2)))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_284_the__eq__trivial,axiom,
% 18.95/19.02 ! [X_b,A_2] : hAPP(fun(X_b,bool),X_b,the(X_b),hAPP(X_b,fun(X_b,bool),hAPP(fun(X_b,fun(X_b,bool)),fun(X_b,fun(X_b,bool)),combc(X_b,X_b,bool),fequal(X_b)),A_2)) = ti(X_b,A_2) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_285_comp__fun__idem_Ofun__left__idem,axiom,
% 18.95/19.02 ! [X_b,X_c,X_1,Z_2,F] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,fun(X_c,X_c)),bool,finite_comp_fun_idem(X_b,X_c),F))
% 18.95/19.02 => hAPP(X_c,X_c,hAPP(X_b,fun(X_c,X_c),F,X_1),hAPP(X_c,X_c,hAPP(X_b,fun(X_c,X_c),F,X_1),Z_2)) = hAPP(X_c,X_c,hAPP(X_b,fun(X_c,X_c),F,X_1),Z_2) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_286_comp__fun__idem__insert,axiom,
% 18.95/19.02 ! [X_b] : hBOOL(hAPP(fun(X_b,fun(fun(X_b,bool),fun(X_b,bool))),bool,finite_comp_fun_idem(X_b,fun(X_b,bool)),insert(X_b))) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_287_the__sym__eq__trivial,axiom,
% 18.95/19.02 ! [X_b,X_1] : hAPP(fun(X_b,bool),X_b,the(X_b),hAPP(X_b,fun(X_b,bool),fequal(X_b),X_1)) = ti(X_b,X_1) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_288_the__equality,axiom,
% 18.95/19.02 ! [X_b,Pa,A_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 18.95/19.02 => ( ! [X_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 18.95/19.02 => ti(X_b,X_2) = ti(X_b,A_2) )
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,the(X_b),Pa) = ti(X_b,A_2) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_289_theI_H,axiom,
% 18.95/19.02 ! [X_b,Pa] :
% 18.95/19.02 ( ? [X_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 18.95/19.02 & ! [Y_1] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,Pa,Y_1))
% 18.95/19.02 => ti(X_b,Y_1) = ti(X_b,X_2) ) )
% 18.95/19.02 => hBOOL(hAPP(X_b,bool,Pa,hAPP(fun(X_b,bool),X_b,the(X_b),Pa))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_290_the1__equality,axiom,
% 18.95/19.02 ! [X_b,A_2,Pa] :
% 18.95/19.02 ( ? [X_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 18.95/19.02 & ! [Y_1] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,Pa,Y_1))
% 18.95/19.02 => ti(X_b,Y_1) = ti(X_b,X_2) ) )
% 18.95/19.02 => ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 18.95/19.02 => hAPP(fun(X_b,bool),X_b,the(X_b),Pa) = ti(X_b,A_2) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_291_theI,axiom,
% 18.95/19.02 ! [X_b,Pa,A_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,Pa,A_2))
% 18.95/19.02 => ( ! [X_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 18.95/19.02 => ti(X_b,X_2) = ti(X_b,A_2) )
% 18.95/19.02 => hBOOL(hAPP(X_b,bool,Pa,hAPP(fun(X_b,bool),X_b,the(X_b),Pa))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_292_card__Diff2__less,axiom,
% 18.95/19.02 ! [X_b,Y_2,X_1,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),Y_2),A_3))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool))))),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),Y_2),bot_bot(fun(X_b,bool)))))),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3))) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_293_card__Diff1__less,axiom,
% 18.95/19.02 ! [X_b,X_1,A_3] :
% 18.95/19.02 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 18.95/19.02 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool)))))),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3))) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_294_lessI,axiom,
% 18.95/19.02 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,suc,N))) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_295_Suc__mono,axiom,
% 18.95/19.02 ! [M_1,N] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M_1)),hAPP(nat,nat,suc,N))) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_296_finite__Collect__less__nat,axiom,
% 18.95/19.02 ! [K] : hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),K)))) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_297_less__not__refl,axiom,
% 18.95/19.02 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),N)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_298_nat__neq__iff,axiom,
% 18.95/19.02 ! [M,Na] :
% 18.95/19.02 ( M != Na
% 18.95/19.02 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na))
% 18.95/19.02 | hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_299_linorder__neqE__nat,axiom,
% 18.95/19.02 ! [X,Y] :
% 18.95/19.02 ( X != Y
% 18.95/19.02 => ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Y),X)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_300_less__irrefl__nat,axiom,
% 18.95/19.02 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),N)) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_301_less__not__refl2,axiom,
% 18.95/19.02 ! [N,M_1] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),M_1))
% 18.95/19.02 => M_1 != N ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_302_less__not__refl3,axiom,
% 18.95/19.02 ! [S_1,T_4] :
% 18.95/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),S_1),T_4))
% 18.95/19.02 => S_1 != T_4 ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_303_nat__less__cases,axiom,
% 18.95/19.02 ! [Pa,M,Na] :
% 18.95/19.02 ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,Na),M)) )
% 18.95/19.02 => ( ( M = Na
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,Na),M)) )
% 18.95/19.02 => ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M))
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,Na),M)) )
% 18.95/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),Pa,Na),M)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_304_order__less__irrefl,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( preorder(X_a)
% 18.95/19.02 => ! [X] : ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),X)) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_305_linorder__neq__iff,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( linorder(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( ti(X_b,X_1) != ti(X_b,Y_2)
% 18.95/19.02 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 | hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_2),X_1)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_306_not__less__iff__gr__or__eq,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( linorder(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_2),X_1))
% 18.95/19.02 | ti(X_b,X_1) = ti(X_b,Y_2) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_307_linorder__less__linear,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( linorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 | ti(X_a,X) = ti(X_a,Y)
% 18.95/19.02 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_308_linorder__antisym__conv3,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( linorder(X_b)
% 18.95/19.02 => ! [Y_2,X_1] :
% 18.95/19.02 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_2),X_1))
% 18.95/19.02 => ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 <=> ti(X_b,X_1) = ti(X_b,Y_2) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_309_linorder__neqE,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( linorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( ti(X_a,X) != ti(X_a,Y)
% 18.95/19.02 => ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_310_less__imp__neq,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => ti(X_a,X) != ti(X_a,Y) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_311_order__less__not__sym,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( preorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_312_order__less__imp__not__less,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( preorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_313_order__less__imp__not__eq,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => ti(X_a,X) != ti(X_a,Y) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_314_order__less__imp__not__eq2,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => ti(X_a,Y) != ti(X_a,X) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_315_order__less__imp__triv,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( preorder(X_b)
% 18.95/19.02 => ! [Pa,X_1,Y_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_2),X_1))
% 18.95/19.02 => hBOOL(Pa) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_316_order__less__asym_H,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( preorder(X_a)
% 18.95/19.02 => ! [A_1,B] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 18.95/19.02 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_317_xt1_I9_J,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [B,A_1] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))
% 18.95/19.02 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_318_ord__eq__less__trans,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( ord(X_a)
% 18.95/19.02 => ! [C,A_1,B] :
% 18.95/19.02 ( A_1 = B
% 18.95/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),C)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_319_xt1_I1_J,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [C,A_1,B] :
% 18.95/19.02 ( ti(X_a,A_1) = ti(X_a,B)
% 18.95/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),B))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),A_1)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_320_ord__less__eq__trans,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( ord(X_a)
% 18.95/19.02 => ! [C,A_1,B] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 18.95/19.02 => ( B = C
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),C)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_321_xt1_I2_J,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [C,B,A_1] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))
% 18.95/19.02 => ( ti(X_a,B) = ti(X_a,C)
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),A_1)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_322_order__less__trans,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( preorder(X_a)
% 18.95/19.02 => ! [Z,X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),Z))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_323_xt1_I10_J,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [Z,Y,X] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))
% 18.95/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),Y))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),X)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_324_order__less__asym,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( preorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_325_linorder__cases,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( linorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => ( ti(X_a,X) != ti(X_a,Y)
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_326_linorder__not__less,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( linorder(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_2),X_1)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_327_linorder__not__le,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( linorder(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_2))
% 18.95/19.02 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_2),X_1)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_328_linorder__le__less__linear,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( linorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 18.95/19.02 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_329_order__less__le,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( order(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_2))
% 18.95/19.02 & ti(X_b,X_1) != ti(X_b,Y_2) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_330_less__le__not__le,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( preorder(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_2))
% 18.95/19.02 & ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_2),X_1)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_331_order__le__less,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( order(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_2))
% 18.95/19.02 <=> ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 | ti(X_b,X_1) = ti(X_b,Y_2) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_332_leI,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( linorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_333_not__leE,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( linorder(X_a)
% 18.95/19.02 => ! [Y,X] :
% 18.95/19.02 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_334_linorder__antisym__conv1,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( linorder(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_2))
% 18.95/19.02 <=> ti(X_b,X_1) = ti(X_b,Y_2) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_335_order__neq__le__trans,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [A_1,B] :
% 18.95/19.02 ( ti(X_a,A_1) != ti(X_a,B)
% 18.95/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_336_xt1_I12_J,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [A_1,B] :
% 18.95/19.02 ( ti(X_a,A_1) != ti(X_a,B)
% 18.95/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),A_1))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_337_leD,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( linorder(X_a)
% 18.95/19.02 => ! [Y,X] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 18.95/19.02 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_338_order__less__imp__le,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( preorder(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y)) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_339_linorder__antisym__conv2,axiom,
% 18.95/19.02 ! [X_b] :
% 18.95/19.02 ( linorder(X_b)
% 18.95/19.02 => ! [X_1,Y_2] :
% 18.95/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_1),Y_2))
% 18.95/19.02 => ( ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_1),Y_2))
% 18.95/19.02 <=> ti(X_b,X_1) = ti(X_b,Y_2) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_340_order__le__imp__less__or__eq,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [X,Y] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 18.95/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 18.95/19.02 | ti(X_a,X) = ti(X_a,Y) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_341_order__le__neq__trans,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [A_1,B] :
% 18.95/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 18.95/19.02 => ( ti(X_a,A_1) != ti(X_a,B)
% 18.95/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ) ).
% 18.95/19.02
% 18.95/19.02 fof(fact_342_xt1_I11_J,axiom,
% 18.95/19.02 ! [X_a] :
% 18.95/19.02 ( order(X_a)
% 18.95/19.02 => ! [B,A_1] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),A_1))
% 19.04/19.02 => ( ti(X_a,A_1) != ti(X_a,B)
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_343_order__less__le__trans,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( preorder(X_a)
% 19.04/19.02 => ! [Z,X,Y] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 19.04/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),Z))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_344_xt1_I7_J,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( order(X_a)
% 19.04/19.02 => ! [Z,Y,X] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X))
% 19.04/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Z),Y))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),X)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_345_order__le__less__trans,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( preorder(X_a)
% 19.04/19.02 => ! [Z,X,Y] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y))
% 19.04/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),Z))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Z)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_346_xt1_I8_J,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( order(X_a)
% 19.04/19.02 => ! [Z,Y,X] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),X))
% 19.04/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),Y))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z),X)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_347_add__less__cancel__right,axiom,
% 19.04/19.02 ! [X_b] :
% 19.04/19.02 ( ordere236663937imp_le(X_b)
% 19.04/19.02 => ! [A_2,C_1,B_3] :
% 19.04/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),C_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),B_3),C_1)))
% 19.04/19.02 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B_3)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_348_add__less__cancel__left,axiom,
% 19.04/19.02 ! [X_b] :
% 19.04/19.02 ( ordere236663937imp_le(X_b)
% 19.04/19.02 => ! [C_1,A_2,B_3] :
% 19.04/19.02 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),C_1),A_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),C_1),B_3)))
% 19.04/19.02 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B_3)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_349_add__strict__right__mono,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( ordere223160158up_add(X_a)
% 19.04/19.02 => ! [C,A_1,B] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C))) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_350_add__strict__left__mono,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( ordere223160158up_add(X_a)
% 19.04/19.02 => ! [C,A_1,B] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B))) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_351_add__strict__mono,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( ordere223160158up_add(X_a)
% 19.04/19.02 => ! [C,D,A_1,B] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D))) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_352_add__less__imp__less__right,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( ordere236663937imp_le(X_a)
% 19.04/19.02 => ! [A_1,C,B] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_353_add__less__imp__less__left,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( ordere236663937imp_le(X_a)
% 19.04/19.02 => ! [C,A_1,B] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),B)))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_354_not__less__bot,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( bot(X_a)
% 19.04/19.02 => ! [A_1] : ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),bot_bot(X_a))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_355_bot__less,axiom,
% 19.04/19.02 ! [X_b] :
% 19.04/19.02 ( bot(X_b)
% 19.04/19.02 => ! [A_2] :
% 19.04/19.02 ( ti(X_b,A_2) != bot_bot(X_b)
% 19.04/19.02 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),bot_bot(X_b)),A_2)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_356_diff__eq__diff__less,axiom,
% 19.04/19.02 ! [X_b] :
% 19.04/19.02 ( ordered_ab_group_add(X_b)
% 19.04/19.02 => ! [A_2,B_3,C_1,D_1] :
% 19.04/19.02 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),C_1),D_1)
% 19.04/19.02 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B_3))
% 19.04/19.02 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),C_1),D_1)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_357_not__less__eq,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),hAPP(nat,nat,suc,M))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_358_less__Suc__eq,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,Na)))
% 19.04/19.02 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na))
% 19.04/19.02 | M = Na ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_359_Suc__less__eq,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M)),hAPP(nat,nat,suc,Na)))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_360_not__less__less__Suc__eq,axiom,
% 19.04/19.02 ! [Na,M] :
% 19.04/19.02 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),hAPP(nat,nat,suc,M)))
% 19.04/19.02 <=> Na = M ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_361_less__antisym,axiom,
% 19.04/19.02 ! [N,M_1] :
% 19.04/19.02 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),M_1))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,suc,M_1)))
% 19.04/19.02 => M_1 = N ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_362_less__SucI,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),hAPP(nat,nat,suc,N))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_363_Suc__lessI,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 => ( hAPP(nat,nat,suc,M_1) != N
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M_1)),N)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_364_less__trans__Suc,axiom,
% 19.04/19.02 ! [K_1,I_2,J] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),K_1))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I_2)),K_1)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_365_less__SucE,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),hAPP(nat,nat,suc,N)))
% 19.04/19.02 => ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 => M_1 = N ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_366_Suc__lessD,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M_1)),N))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_367_Suc__less__SucD,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,M_1)),hAPP(nat,nat,suc,N)))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_368_not__add__less1,axiom,
% 19.04/19.02 ! [I_2,J] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),I_2)) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_369_not__add__less2,axiom,
% 19.04/19.02 ! [J,I_2] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),I_2)),I_2)) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_370_nat__add__left__cancel__less,axiom,
% 19.04/19.02 ! [K,M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K),Na)))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_371_trans__less__add1,axiom,
% 19.04/19.02 ! [M_1,I_2,J] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),M_1))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_372_trans__less__add2,axiom,
% 19.04/19.02 ! [M_1,I_2,J] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),J))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_373_add__less__mono1,axiom,
% 19.04/19.02 ! [K_1,I_2,J] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),K_1))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_374_add__less__mono,axiom,
% 19.04/19.02 ! [K_1,L_1,I_2,J] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K_1),L_1))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),J),L_1))) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_375_less__add__eq__less,axiom,
% 19.04/19.02 ! [M_1,N,K_1,L_1] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K_1),L_1))
% 19.04/19.02 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),L_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_1),N)
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_376_add__lessD1,axiom,
% 19.04/19.02 ! [I_2,J,K_1] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),K_1))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),K_1)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_377_termination__basic__simps_I1_J,axiom,
% 19.04/19.02 ! [Z,X,Y] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_378_termination__basic__simps_I2_J,axiom,
% 19.04/19.02 ! [Y,X,Z] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Z))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),Y),Z))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_379_nat__less__le,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na))
% 19.04/19.02 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na))
% 19.04/19.02 & M != Na ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_380_le__eq__less__or__eq,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na))
% 19.04/19.02 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na))
% 19.04/19.02 | M = Na ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_381_less__imp__le__nat,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_382_le__neq__implies__less,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 19.04/19.02 => ( M_1 != N
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_383_less__or__eq__imp__le,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 | M_1 = N )
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_384_termination__basic__simps_I5_J,axiom,
% 19.04/19.02 ! [X,Y] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X),Y))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X),Y)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_385_less__imp__diff__less,axiom,
% 19.04/19.02 ! [N,J,K_1] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J),K_1))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),N)),K_1)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_386_diff__less__mono2,axiom,
% 19.04/19.02 ! [L_1,M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),L_1))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L_1),N)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),L_1),M_1))) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_387_finite__nat__set__iff__bounded,axiom,
% 19.04/19.02 ! [N_2] :
% 19.04/19.02 ( hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),N_2))
% 19.04/19.02 <=> ? [M_2] :
% 19.04/19.02 ! [X_2] :
% 19.04/19.02 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X_2),N_2))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X_2),M_2)) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_388_nat__seg__image__imp__finite,axiom,
% 19.04/19.02 ! [X_b,A_3,F,Na] :
% 19.04/19.02 ( ti(fun(X_b,bool),A_3) = hAPP(fun(nat,bool),fun(X_b,bool),hAPP(fun(nat,X_b),fun(fun(nat,bool),fun(X_b,bool)),image(nat,X_b),F),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),Na)))
% 19.04/19.02 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_389_card__Collect__less__nat,axiom,
% 19.04/19.02 ! [Na] : hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),Na))) = Na ).
% 19.04/19.02
% 19.04/19.02 fof(fact_390_finite__M__bounded__by__nat,axiom,
% 19.04/19.02 ! [Pa,I_1] : hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),Pa)),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),I_1))))) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_391_add__less__le__mono,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( ordere223160158up_add(X_a)
% 19.04/19.02 => ! [C,D,A_1,B] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),D))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D))) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_392_add__le__less__mono,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( ordere223160158up_add(X_a)
% 19.04/19.02 => ! [C,D,A_1,B] :
% 19.04/19.02 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 19.04/19.02 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D))
% 19.04/19.02 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D))) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_393_less__add__Suc1,axiom,
% 19.04/19.02 ! [I_2,M_1] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),M_1)))) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_394_less__add__Suc2,axiom,
% 19.04/19.02 ! [I_2,M_1] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),I_2)))) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_395_less__iff__Suc__add,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na))
% 19.04/19.02 <=> ? [K_2] : Na = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K_2)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_396_less__eq__Suc__le,axiom,
% 19.04/19.02 ! [Na,M] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,Na)),M)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_397_less__Suc__eq__le,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,Na)))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_398_Suc__le__eq,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M)),Na))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_399_le__imp__less__Suc,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),hAPP(nat,nat,suc,N))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_400_Suc__leI,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M_1)),N)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_401_le__less__Suc__eq,axiom,
% 19.04/19.02 ! [M,Na] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),hAPP(nat,nat,suc,M)))
% 19.04/19.02 <=> Na = M ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_402_Suc__le__lessD,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,M_1)),N))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_403_diff__less__Suc,axiom,
% 19.04/19.02 ! [M_1,N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)),hAPP(nat,nat,suc,M_1))) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_404_less__diff__conv,axiom,
% 19.04/19.02 ! [I_1,J_1,K] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_1),K)))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_1),K)),J_1)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_405_add__diff__inverse,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)) = M_1 ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_406_diff__less__mono,axiom,
% 19.04/19.02 ! [C,A_1,B] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A_1),B))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),C),A_1))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A_1),C)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),B),C))) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_407_less__diff__iff,axiom,
% 19.04/19.02 ! [Na,K,M] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),M))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K),Na))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Na),K)))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_408_less__eq__Suc__le__raw,axiom,
% 19.04/19.02 ! [X_2] : hAPP(nat,fun(nat,bool),ord_less(nat),X_2) = hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X_2)) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_409_mono__nat__linear__lb,axiom,
% 19.04/19.02 ! [M,K,F] :
% 19.04/19.02 ( ! [M_2,N_1] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_2),N_1))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,F,M_2)),hAPP(nat,nat,F,N_1))) )
% 19.04/19.02 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,F,M)),K)),hAPP(nat,nat,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),K)))) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_410_inc__induct,axiom,
% 19.04/19.02 ! [Pa,I_1,J_1] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,Pa,J_1))
% 19.04/19.02 => ( ! [I] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_1))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,I)))
% 19.04/19.02 => hBOOL(hAPP(nat,bool,Pa,I)) ) )
% 19.04/19.02 => hBOOL(hAPP(nat,bool,Pa,I_1)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_411_less__imp__Suc__add,axiom,
% 19.04/19.02 ! [M_1,N] :
% 19.04/19.02 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.02 => ? [K_2] : N = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),K_2)) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_412_lift__Suc__mono__less__iff,axiom,
% 19.04/19.02 ! [X_b] :
% 19.04/19.02 ( order(X_b)
% 19.04/19.02 => ! [Na,M,F] :
% 19.04/19.02 ( ! [N_1] : hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(nat,X_b,F,N_1)),hAPP(nat,X_b,F,hAPP(nat,nat,suc,N_1))))
% 19.04/19.02 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(nat,X_b,F,Na)),hAPP(nat,X_b,F,M)))
% 19.04/19.02 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),M)) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_413_lift__Suc__mono__less,axiom,
% 19.04/19.02 ! [X_b] :
% 19.04/19.02 ( order(X_b)
% 19.04/19.02 => ! [Na,N_3,F] :
% 19.04/19.02 ( ! [N_1] : hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(nat,X_b,F,N_1)),hAPP(nat,X_b,F,hAPP(nat,nat,suc,N_1))))
% 19.04/19.02 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),N_3))
% 19.04/19.02 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(nat,X_b,F,Na)),hAPP(nat,X_b,F,N_3))) ) ) ) ).
% 19.04/19.02
% 19.04/19.02 fof(fact_414_less__add__one,axiom,
% 19.04/19.02 ! [X_a] :
% 19.04/19.02 ( linordered_semidom(X_a)
% 19.04/19.03 => ! [A_1] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),one_one(X_a)))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_415_less__fun__def,axiom,
% 19.04/19.03 ! [X_b,X_c] :
% 19.04/19.03 ( ord(X_c)
% 19.04/19.03 => ! [F,G] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,X_c),bool,hAPP(fun(X_b,X_c),fun(fun(X_b,X_c),bool),ord_less(fun(X_b,X_c)),F),G))
% 19.04/19.03 <=> ( hBOOL(hAPP(fun(X_b,X_c),bool,hAPP(fun(X_b,X_c),fun(fun(X_b,X_c),bool),ord_less_eq(fun(X_b,X_c)),F),G))
% 19.04/19.03 & ~ hBOOL(hAPP(fun(X_b,X_c),bool,hAPP(fun(X_b,X_c),fun(fun(X_b,X_c),bool),ord_less_eq(fun(X_b,X_c)),G),F)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_416_not__psubset__empty,axiom,
% 19.04/19.03 ! [X_b,A_3] : ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),bot_bot(fun(X_b,bool)))) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_417_subset__psubset__trans,axiom,
% 19.04/19.03 ! [X_b,C_2,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),B_1),C_2))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),C_2)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_418_psubset__subset__trans,axiom,
% 19.04/19.03 ! [X_b,C_2,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),B_1),C_2))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),C_2)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_419_psubset__imp__subset,axiom,
% 19.04/19.03 ! [X_b,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_420_subset__iff__psubset__eq,axiom,
% 19.04/19.03 ! [X_b,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 | ti(fun(X_b,bool),A_3) = ti(fun(X_b,bool),B_1) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_421_psubset__eq,axiom,
% 19.04/19.03 ! [X_b,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 & ti(fun(X_b,bool),A_3) != ti(fun(X_b,bool),B_1) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_422_psubset__card__mono,axiom,
% 19.04/19.03 ! [X_b,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),hAPP(fun(X_b,bool),nat,finite_card(X_b),B_1))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_423_linorder__neqE__linordered__idom,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linordered_idom(X_a)
% 19.04/19.03 => ! [X,Y] :
% 19.04/19.03 ( ti(X_a,X) != ti(X_a,Y)
% 19.04/19.03 => ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),X)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_424_psubset__insert__iff,axiom,
% 19.04/19.03 ! [X_b,A_3,X_1,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),B_1)))
% 19.04/19.03 <=> ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1)) )
% 19.04/19.03 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),B_1))
% 19.04/19.03 => ( ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),A_3),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),X_1),bot_bot(fun(X_b,bool))))),B_1)) )
% 19.04/19.03 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_1),A_3))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1)) ) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_425_card__psubset,axiom,
% 19.04/19.03 ! [X_b,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),B_1))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),hAPP(fun(X_b,bool),nat,finite_card(X_b),B_1)))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_426_finite__conv__nat__seg__image,axiom,
% 19.04/19.03 ! [X_b,A_3] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 <=> ? [N_1,F_2] : ti(fun(X_b,bool),A_3) = hAPP(fun(nat,bool),fun(X_b,bool),hAPP(fun(nat,X_b),fun(fun(nat,bool),fun(X_b,bool)),image(nat,X_b),F_2),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),N_1))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_427_bounded__nat__set__is__finite,axiom,
% 19.04/19.03 ! [Na,N_2] :
% 19.04/19.03 ( ! [X_2] :
% 19.04/19.03 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X_2),N_2))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X_2),Na)) )
% 19.04/19.03 => hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),N_2)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_428_less__mono__imp__le__mono,axiom,
% 19.04/19.03 ! [I_1,J_1,F] :
% 19.04/19.03 ( ! [I,J_2] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),J_2))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,F,I)),hAPP(nat,nat,F,J_2))) )
% 19.04/19.03 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,F,I_1)),hAPP(nat,nat,F,J_1))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_429_lessE,axiom,
% 19.04/19.03 ! [I_2,K_1] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),K_1))
% 19.04/19.03 => ( K_1 != hAPP(nat,nat,suc,I_2)
% 19.04/19.03 => ~ ! [J_2] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J_2))
% 19.04/19.03 => K_1 != hAPP(nat,nat,suc,J_2) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_430_Suc__lessE,axiom,
% 19.04/19.03 ! [I_2,K_1] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,I_2)),K_1))
% 19.04/19.03 => ~ ! [J_2] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J_2))
% 19.04/19.03 => K_1 != hAPP(nat,nat,suc,J_2) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_431_psubsetD,axiom,
% 19.04/19.03 ! [X_b,C_1,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),A_3))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),C_1),B_1)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_432_psubset__trans,axiom,
% 19.04/19.03 ! [X_b,C_2,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),B_1),C_2))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),C_2)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_433_psubset__imp__ex__mem,axiom,
% 19.04/19.03 ! [X_b,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less(fun(X_b,bool)),A_3),B_1))
% 19.04/19.03 => ? [B_5] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_5),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,bool),fun(fun(X_b,bool),fun(X_b,bool)),minus_minus(fun(X_b,bool)),B_1),A_3))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_434_xt6,axiom,
% 19.04/19.03 ! [X_c,X_b] :
% 19.04/19.03 ( ( order(X_b)
% 19.04/19.03 & ord(X_c) )
% 19.04/19.03 => ! [C_1,F,B_3,A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_c,X_b,F,B_3)),A_2))
% 19.04/19.03 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),C_1),B_3))
% 19.04/19.03 => ( ! [X_2,Y_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),Y_1),X_2))
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_c,X_b,F,Y_1)),hAPP(X_c,X_b,F,X_2))) )
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_c,X_b,F,C_1)),A_2)) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_435_xt4,axiom,
% 19.04/19.03 ! [X_c,X_b] :
% 19.04/19.03 ( ( order(X_b)
% 19.04/19.03 & order(X_c) )
% 19.04/19.03 => ! [C_1,F,B_3,A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_c,X_b,F,B_3)),A_2))
% 19.04/19.03 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),C_1),B_3))
% 19.04/19.03 => ( ! [X_2,Y_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),Y_1),X_2))
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_c,X_b,F,Y_1)),hAPP(X_c,X_b,F,X_2))) )
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_c,X_b,F,C_1)),A_2)) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_436_order__le__less__subst1,axiom,
% 19.04/19.03 ! [X_b,X_c] :
% 19.04/19.03 ( ( order(X_c)
% 19.04/19.03 & order(X_b) )
% 19.04/19.03 => ! [C_1,A_2,F,B_3] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),hAPP(X_c,X_b,F,B_3)))
% 19.04/19.03 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),B_3),C_1))
% 19.04/19.03 => ( ! [X_2,Y_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),X_2),Y_1))
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_c,X_b,F,X_2)),hAPP(X_c,X_b,F,Y_1))) )
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),hAPP(X_c,X_b,F,C_1))) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_437_order__less__le__subst1,axiom,
% 19.04/19.03 ! [X_b,X_c] :
% 19.04/19.03 ( ( order(X_c)
% 19.04/19.03 & order(X_b) )
% 19.04/19.03 => ! [C_1,A_2,F,B_3] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),hAPP(X_c,X_b,F,B_3)))
% 19.04/19.03 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),B_3),C_1))
% 19.04/19.03 => ( ! [X_2,Y_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),X_2),Y_1))
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_c,X_b,F,X_2)),hAPP(X_c,X_b,F,Y_1))) )
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),hAPP(X_c,X_b,F,C_1))) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_438_dense__le,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( dense_linorder(X_a)
% 19.04/19.03 => ! [Z,Y] :
% 19.04/19.03 ( ! [X_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_2),Y))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X_2),Z)) )
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),Z)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_439_dense__le__bounded,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( dense_linorder(X_a)
% 19.04/19.03 => ! [Z,X,Y] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),Y))
% 19.04/19.03 => ( ! [W_3] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),W_3))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),W_3),Y))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),W_3),Z)) ) )
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),Z)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_440_xt5,axiom,
% 19.04/19.03 ! [X_c,X_b] :
% 19.04/19.03 ( ( order(X_b)
% 19.04/19.03 & order(X_c) )
% 19.04/19.03 => ! [C_1,F,B_3,A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),B_3),A_2))
% 19.04/19.03 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),C_1),hAPP(X_b,X_c,F,B_3)))
% 19.04/19.03 => ( ! [X_2,Y_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),Y_1),X_2))
% 19.04/19.03 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),hAPP(X_b,X_c,F,Y_1)),hAPP(X_b,X_c,F,X_2))) )
% 19.04/19.03 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),C_1),hAPP(X_b,X_c,F,A_2))) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_441_xt7,axiom,
% 19.04/19.03 ! [X_c,X_b] :
% 19.04/19.03 ( ( order(X_b)
% 19.04/19.03 & order(X_c) )
% 19.04/19.03 => ! [C_1,F,B_3,A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),B_3),A_2))
% 19.04/19.03 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),C_1),hAPP(X_b,X_c,F,B_3)))
% 19.04/19.03 => ( ! [X_2,Y_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),Y_1),X_2))
% 19.04/19.03 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,Y_1)),hAPP(X_b,X_c,F,X_2))) )
% 19.04/19.03 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),C_1),hAPP(X_b,X_c,F,A_2))) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_442_order__le__less__subst2,axiom,
% 19.04/19.03 ! [X_b,X_c] :
% 19.04/19.03 ( ( order(X_c)
% 19.04/19.03 & order(X_b) )
% 19.04/19.03 => ! [F,C_1,A_2,B_3] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B_3))
% 19.04/19.03 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),hAPP(X_b,X_c,F,B_3)),C_1))
% 19.04/19.03 => ( ! [X_2,Y_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),X_2),Y_1))
% 19.04/19.03 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,X_2)),hAPP(X_b,X_c,F,Y_1))) )
% 19.04/19.03 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),hAPP(X_b,X_c,F,A_2)),C_1)) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_443_order__less__le__subst2,axiom,
% 19.04/19.03 ! [X_b,X_c] :
% 19.04/19.03 ( ( order(X_c)
% 19.04/19.03 & order(X_b) )
% 19.04/19.03 => ! [F,C_1,A_2,B_3] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B_3))
% 19.04/19.03 => ( hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less_eq(X_c),hAPP(X_b,X_c,F,B_3)),C_1))
% 19.04/19.03 => ( ! [X_2,Y_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),X_2),Y_1))
% 19.04/19.03 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),hAPP(X_b,X_c,F,X_2)),hAPP(X_b,X_c,F,Y_1))) )
% 19.04/19.03 => hBOOL(hAPP(X_c,bool,hAPP(X_c,fun(X_c,bool),ord_less(X_c),hAPP(X_b,X_c,F,A_2)),C_1)) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_444_card__Plus,axiom,
% 19.04/19.03 ! [X_c,X_b,B_1,A_3] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_1))
% 19.04/19.03 => hAPP(fun(sum_sum(X_b,X_c),bool),nat,finite_card(sum_sum(X_b,X_c)),hAPP(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool),hAPP(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool)),sum_Plus(X_b,X_c),A_3),B_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),hAPP(fun(X_c,bool),nat,finite_card(X_c),B_1)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_445_image__cong,axiom,
% 19.04/19.03 ! [X_c,X_b,F,G,M_3,N_2] :
% 19.04/19.03 ( ti(fun(X_b,bool),M_3) = ti(fun(X_b,bool),N_2)
% 19.04/19.03 => ( ! [X_2] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),N_2))
% 19.04/19.03 => hAPP(X_b,X_c,F,X_2) = hAPP(X_b,X_c,G,X_2) )
% 19.04/19.03 => hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),F),M_3) = hAPP(fun(X_b,bool),fun(X_c,bool),hAPP(fun(X_b,X_c),fun(fun(X_b,bool),fun(X_c,bool)),image(X_b,X_c),G),N_2) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_446_finite__PlusD_I2_J,axiom,
% 19.04/19.03 ! [X_b,X_c,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(sum_sum(X_b,X_c),bool),bool,finite_finite(sum_sum(X_b,X_c)),hAPP(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool),hAPP(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool)),sum_Plus(X_b,X_c),A_3),B_1)))
% 19.04/19.03 => hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_1)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_447_finite__PlusD_I1_J,axiom,
% 19.04/19.03 ! [X_b,X_c,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(sum_sum(X_b,X_c),bool),bool,finite_finite(sum_sum(X_b,X_c)),hAPP(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool),hAPP(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool)),sum_Plus(X_b,X_c),A_3),B_1)))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_448_finite__Plus,axiom,
% 19.04/19.03 ! [X_c,X_b,B_1,A_3] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_1))
% 19.04/19.03 => hBOOL(hAPP(fun(sum_sum(X_b,X_c),bool),bool,finite_finite(sum_sum(X_b,X_c)),hAPP(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool),hAPP(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool)),sum_Plus(X_b,X_c),A_3),B_1))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_449_finite__Plus__iff,axiom,
% 19.04/19.03 ! [X_b,X_c,A_3,B_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(sum_sum(X_b,X_c),bool),bool,finite_finite(sum_sum(X_b,X_c)),hAPP(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool),hAPP(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool)),sum_Plus(X_b,X_c),A_3),B_1)))
% 19.04/19.03 <=> ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 & hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_1)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_450_Plus__eq__empty__conv,axiom,
% 19.04/19.03 ! [X_c,X_b,A_3,B_1] :
% 19.04/19.03 ( hAPP(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool),hAPP(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool)),sum_Plus(X_b,X_c),A_3),B_1) = bot_bot(fun(sum_sum(X_b,X_c),bool))
% 19.04/19.03 <=> ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 19.04/19.03 & ti(fun(X_c,bool),B_1) = bot_bot(fun(X_c,bool)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_451_card__Plus__conv__if,axiom,
% 19.04/19.03 ! [X_c,X_b,B_1,A_3] :
% 19.04/19.03 ( ( ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 & hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_1)) )
% 19.04/19.03 => hAPP(fun(sum_sum(X_b,X_c),bool),nat,finite_card(sum_sum(X_b,X_c)),hAPP(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool),hAPP(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool)),sum_Plus(X_b,X_c),A_3),B_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)),hAPP(fun(X_c,bool),nat,finite_card(X_c),B_1)) )
% 19.04/19.03 & ( ~ ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 & hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),B_1)) )
% 19.04/19.03 => hAPP(fun(sum_sum(X_b,X_c),bool),nat,finite_card(sum_sum(X_b,X_c)),hAPP(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool),hAPP(fun(X_b,bool),fun(fun(X_c,bool),fun(sum_sum(X_b,X_c),bool)),sum_Plus(X_b,X_c),A_3),B_1)) = zero_zero(nat) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_452_pred__subset__eq,axiom,
% 19.04/19.03 ! [X_b,R_1,S] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(X_b,bool)),combc(X_b,fun(X_b,bool),bool),member(X_b)),R_1)),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(fun(X_b,fun(fun(X_b,bool),bool)),fun(fun(X_b,bool),fun(X_b,bool)),combc(X_b,fun(X_b,bool),bool),member(X_b)),S)))
% 19.04/19.03 <=> hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),R_1),S)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_453_Collect__mono,axiom,
% 19.04/19.03 ! [X_b,Q_3,Pa] :
% 19.04/19.03 ( ! [X_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,Pa,X_2))
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,Q_3,X_2)) )
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Pa)),hAPP(fun(X_b,bool),fun(X_b,bool),collect(X_b),Q_3))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_454_less__zeroE,axiom,
% 19.04/19.03 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat))) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_455_le0,axiom,
% 19.04/19.03 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),N)) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_456_zero__less__Suc,axiom,
% 19.04/19.03 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,suc,N))) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_457_le__0__eq,axiom,
% 19.04/19.03 ! [Na] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),Na),zero_zero(nat)))
% 19.04/19.03 <=> Na = zero_zero(nat) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_458_less__eq__nat_Osimps_I1_J,axiom,
% 19.04/19.03 ! [N] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),N)) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_459_diffs0__imp__equal,axiom,
% 19.04/19.03 ! [M_1,N] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N) = zero_zero(nat)
% 19.04/19.03 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),M_1) = zero_zero(nat)
% 19.04/19.03 => M_1 = N ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_460_diff__self__eq__0,axiom,
% 19.04/19.03 ! [M_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),M_1) = zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_461_minus__nat_Odiff__0,axiom,
% 19.04/19.03 ! [M_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),zero_zero(nat)) = M_1 ).
% 19.04/19.03
% 19.04/19.03 fof(fact_462_diff__0__eq__0,axiom,
% 19.04/19.03 ! [N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),N) = zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_463_one__neq__zero,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( zero_neq_one(X_a)
% 19.04/19.03 => one_one(X_a) != zero_zero(X_a) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_464_zero__neq__one,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( zero_neq_one(X_a)
% 19.04/19.03 => zero_zero(X_a) != one_one(X_a) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_465_add_Ocomm__neutral,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_monoid_add(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a)) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_466_add__0__right,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( monoid_add(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a)) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_467_double__zero__sym,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( linord219039673up_add(X_b)
% 19.04/19.03 => ! [A_2] :
% 19.04/19.03 ( zero_zero(X_b) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),A_2)
% 19.04/19.03 <=> ti(X_b,A_2) = zero_zero(X_b) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_468_add__0,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_monoid_add(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_469_add__0__left,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( monoid_add(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_470_right__minus__eq,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( group_add(X_b)
% 19.04/19.03 => ! [A_2,B_3] :
% 19.04/19.03 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3) = zero_zero(X_b)
% 19.04/19.03 <=> ti(X_b,A_2) = ti(X_b,B_3) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_471_eq__iff__diff__eq__0,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( ab_group_add(X_b)
% 19.04/19.03 => ! [A_2,B_3] :
% 19.04/19.03 ( ti(X_b,A_2) = ti(X_b,B_3)
% 19.04/19.03 <=> hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3) = zero_zero(X_b) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_472_diff__self,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( group_add(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),A_1) = zero_zero(X_a) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_473_diff__0__right,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( group_add(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),zero_zero(X_a)) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_474_zero__reorient,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( zero(X_b)
% 19.04/19.03 => ! [X_1] :
% 19.04/19.03 ( zero_zero(X_b) = ti(X_b,X_1)
% 19.04/19.03 <=> ti(X_b,X_1) = zero_zero(X_b) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_475_bot__nat__def,axiom,
% 19.04/19.03 bot_bot(nat) = zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_476_add__eq__self__zero,axiom,
% 19.04/19.03 ! [M_1,N] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N) = M_1
% 19.04/19.03 => N = zero_zero(nat) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_477_add__is__0,axiom,
% 19.04/19.03 ! [M,Na] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),Na) = zero_zero(nat)
% 19.04/19.03 <=> ( M = zero_zero(nat)
% 19.04/19.03 & Na = zero_zero(nat) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_478_Nat_Oadd__0__right,axiom,
% 19.04/19.03 ! [M_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),zero_zero(nat)) = M_1 ).
% 19.04/19.03
% 19.04/19.03 fof(fact_479_plus__nat_Oadd__0,axiom,
% 19.04/19.03 ! [N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),N) = N ).
% 19.04/19.03
% 19.04/19.03 fof(fact_480_gr0I,axiom,
% 19.04/19.03 ! [N] :
% 19.04/19.03 ( N != zero_zero(nat)
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_481_gr__implies__not0,axiom,
% 19.04/19.03 ! [M_1,N] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.03 => N != zero_zero(nat) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_482_less__nat__zero__code,axiom,
% 19.04/19.03 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat))) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_483_neq0__conv,axiom,
% 19.04/19.03 ! [Na] :
% 19.04/19.03 ( Na != zero_zero(nat)
% 19.04/19.03 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),Na)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_484_not__less0,axiom,
% 19.04/19.03 ! [N] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),zero_zero(nat))) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_485_Suc__neq__Zero,axiom,
% 19.04/19.03 ! [M_1] : hAPP(nat,nat,suc,M_1) != zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_486_Zero__neq__Suc,axiom,
% 19.04/19.03 ! [M_1] : zero_zero(nat) != hAPP(nat,nat,suc,M_1) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_487_nat_Osimps_I3_J,axiom,
% 19.04/19.03 ! [Nat_2] : hAPP(nat,nat,suc,Nat_2) != zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_488_Suc__not__Zero,axiom,
% 19.04/19.03 ! [M_1] : hAPP(nat,nat,suc,M_1) != zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_489_nat_Osimps_I2_J,axiom,
% 19.04/19.03 ! [Nat_1] : zero_zero(nat) != hAPP(nat,nat,suc,Nat_1) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_490_Zero__not__Suc,axiom,
% 19.04/19.03 ! [M_1] : zero_zero(nat) != hAPP(nat,nat,suc,M_1) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_491_nat__case__0,axiom,
% 19.04/19.03 ! [X_b,F1,F2] : hAPP(nat,X_b,hAPP(fun(nat,X_b),fun(nat,X_b),hAPP(X_b,fun(fun(nat,X_b),fun(nat,X_b)),nat_case(X_b),F1),F2),zero_zero(nat)) = ti(X_b,F1) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_492_zero__le__double__add__iff__zero__le__single__add,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( linord219039673up_add(X_b)
% 19.04/19.03 => ! [A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),A_2)))
% 19.04/19.03 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),A_2)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_493_double__add__le__zero__iff__single__add__le__zero,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( linord219039673up_add(X_b)
% 19.04/19.03 => ! [A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),A_2)),zero_zero(X_b)))
% 19.04/19.03 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),zero_zero(X_b))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_494_add__nonneg__nonneg,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_495_add__nonneg__eq__0__iff,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( ordere216010020id_add(X_b)
% 19.04/19.03 => ! [Y_2,X_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),X_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),Y_2))
% 19.04/19.03 => ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),X_1),Y_2) = zero_zero(X_b)
% 19.04/19.03 <=> ( ti(X_b,X_1) = zero_zero(X_b)
% 19.04/19.03 & ti(X_b,Y_2) = zero_zero(X_b) ) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_496_add__increasing,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,C,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),C))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_497_add__increasing2,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1,C] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),A_1))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_498_add__nonpos__nonpos,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),zero_zero(X_a)))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),zero_zero(X_a)))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_499_zero__less__double__add__iff__zero__less__single__add,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( linord219039673up_add(X_b)
% 19.04/19.03 => ! [A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),A_2)))
% 19.04/19.03 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),A_2)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_500_double__add__less__zero__iff__single__add__less__zero,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( linord219039673up_add(X_b)
% 19.04/19.03 => ! [A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),A_2)),zero_zero(X_b)))
% 19.04/19.03 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),zero_zero(X_b))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_501_add__pos__pos,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_502_add__neg__neg,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),zero_zero(X_a)))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_503_pos__add__strict,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linordered_semidom(X_a)
% 19.04/19.03 => ! [B,C,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_504_le__iff__diff__le__0,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( ordered_ab_group_add(X_b)
% 19.04/19.03 => ! [A_2,B_3] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B_3))
% 19.04/19.03 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3)),zero_zero(X_b))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_505_less__iff__diff__less__0,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( ordered_ab_group_add(X_b)
% 19.04/19.03 => ! [A_2,B_3] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B_3))
% 19.04/19.03 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3)),zero_zero(X_b))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_506_not__one__le__zero,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linordered_semidom(X_a)
% 19.04/19.03 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),one_one(X_a)),zero_zero(X_a))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_507_zero__le__one,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linordered_semidom(X_a)
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),one_one(X_a))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_508_zero__less__one,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linordered_semidom(X_a)
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),one_one(X_a))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_509_not__one__less__zero,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linordered_semidom(X_a)
% 19.04/19.03 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),one_one(X_a)),zero_zero(X_a))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_510_gr0__conv__Suc,axiom,
% 19.04/19.03 ! [Na] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),Na))
% 19.04/19.03 <=> ? [M_2] : Na = hAPP(nat,nat,suc,M_2) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_511_less__Suc0,axiom,
% 19.04/19.03 ! [Na] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),Na),hAPP(nat,nat,suc,zero_zero(nat))))
% 19.04/19.03 <=> Na = zero_zero(nat) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_512_less__Suc__eq__0__disj,axiom,
% 19.04/19.03 ! [M,Na] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,suc,Na)))
% 19.04/19.03 <=> ( M = zero_zero(nat)
% 19.04/19.03 | ? [J_2] :
% 19.04/19.03 ( M = hAPP(nat,nat,suc,J_2)
% 19.04/19.03 & hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),J_2),Na)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_513_one__is__add,axiom,
% 19.04/19.03 ! [M,Na] :
% 19.04/19.03 ( hAPP(nat,nat,suc,zero_zero(nat)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),Na)
% 19.04/19.03 <=> ( ( M = hAPP(nat,nat,suc,zero_zero(nat))
% 19.04/19.03 & Na = zero_zero(nat) )
% 19.04/19.03 | ( M = zero_zero(nat)
% 19.04/19.03 & Na = hAPP(nat,nat,suc,zero_zero(nat)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_514_add__is__1,axiom,
% 19.04/19.03 ! [M,Na] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),Na) = hAPP(nat,nat,suc,zero_zero(nat))
% 19.04/19.03 <=> ( ( M = hAPP(nat,nat,suc,zero_zero(nat))
% 19.04/19.03 & Na = zero_zero(nat) )
% 19.04/19.03 | ( M = zero_zero(nat)
% 19.04/19.03 & Na = hAPP(nat,nat,suc,zero_zero(nat)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_515_add__gr__0,axiom,
% 19.04/19.03 ! [M,Na] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M),Na)))
% 19.04/19.03 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),M))
% 19.04/19.03 | hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),Na)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_516_card_Oempty,axiom,
% 19.04/19.03 ! [X_b] : hAPP(fun(X_b,bool),nat,finite_card(X_b),bot_bot(fun(X_b,bool))) = zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_517_card__infinite,axiom,
% 19.04/19.03 ! [X_b,A_3] :
% 19.04/19.03 ( ~ hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 => hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = zero_zero(nat) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_518_zero__less__diff,axiom,
% 19.04/19.03 ! [Na,M] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),Na),M)))
% 19.04/19.03 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_519_diff__less,axiom,
% 19.04/19.03 ! [M_1,N] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))
% 19.04/19.03 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),M_1))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)),M_1)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_520_diff__add__0,axiom,
% 19.04/19.03 ! [N,M_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),M_1)) = zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_521_diff__is__0__eq,axiom,
% 19.04/19.03 ! [M,Na] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),Na) = zero_zero(nat)
% 19.04/19.03 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_522_diff__is__0__eq_H,axiom,
% 19.04/19.03 ! [M_1,N] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),N))
% 19.04/19.03 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N) = zero_zero(nat) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_523_One__nat__def,axiom,
% 19.04/19.03 one_one(nat) = hAPP(nat,nat,suc,zero_zero(nat)) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_524_diff__Suc,axiom,
% 19.04/19.03 ! [M,Na] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),hAPP(nat,nat,suc,Na)) = hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),combi(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M),Na)) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_525_add__pos__nonneg,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_526_add__nonneg__pos,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_527_add__strict__increasing,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,C,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),C))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_528_add__strict__increasing2,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,C,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),C))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_529_add__neg__nonpos,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),zero_zero(X_a)))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),zero_zero(X_a)))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_530_add__nonpos__neg,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( ordere216010020id_add(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),zero_zero(X_a)))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_531_zero__less__two,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linordered_semidom(X_a)
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),one_one(X_a)),one_one(X_a)))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_532_bot__empty__eq,axiom,
% 19.04/19.03 ! [X_b,X_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,bot_bot(fun(X_b,bool)),X_2))
% 19.04/19.03 <=> hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),bot_bot(fun(X_b,bool)))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_533_card__eq__0__iff,axiom,
% 19.04/19.03 ! [X_b,A_3] :
% 19.04/19.03 ( hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = zero_zero(nat)
% 19.04/19.03 <=> ( ti(fun(X_b,bool),A_3) = bot_bot(fun(X_b,bool))
% 19.04/19.03 | ~ hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_534_card__ge__0__finite,axiom,
% 19.04/19.03 ! [X_b,A_3] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_535_Suc__pred,axiom,
% 19.04/19.03 ! [N] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))
% 19.04/19.03 => hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,suc,zero_zero(nat)))) = N ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_536_diff__Suc__less,axiom,
% 19.04/19.03 ! [I_2,N] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),hAPP(nat,nat,suc,I_2))),N)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_537_rev__predicate1D,axiom,
% 19.04/19.03 ! [X_b,Q_3,Pa,X_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,Pa,X_1))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),Pa),Q_3))
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,Q_3,X_1)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_538_predicate1D,axiom,
% 19.04/19.03 ! [X_b,X_1,Pa,Q_3] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(fun(X_b,bool),fun(fun(X_b,bool),bool),ord_less_eq(fun(X_b,bool)),Pa),Q_3))
% 19.04/19.03 => ( hBOOL(hAPP(X_b,bool,Pa,X_1))
% 19.04/19.03 => hBOOL(hAPP(X_b,bool,Q_3,X_1)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_539_nat__diff__split,axiom,
% 19.04/19.03 ! [Pa,A_2,B_3] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A_2),B_3)))
% 19.04/19.03 <=> ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A_2),B_3))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))) )
% 19.04/19.03 & ! [D_2] :
% 19.04/19.03 ( A_2 = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B_3),D_2)
% 19.04/19.03 => hBOOL(hAPP(nat,bool,Pa,D_2)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_540_nat__diff__split__asm,axiom,
% 19.04/19.03 ! [Pa,A_2,B_3] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A_2),B_3)))
% 19.04/19.03 <=> ~ ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A_2),B_3))
% 19.04/19.03 & ~ hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))) )
% 19.04/19.03 | ? [D_2] :
% 19.04/19.03 ( A_2 = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B_3),D_2)
% 19.04/19.03 & ~ hBOOL(hAPP(nat,bool,Pa,D_2)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_541_card__less__Suc,axiom,
% 19.04/19.03 ! [I_1,M_3] :
% 19.04/19.03 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),M_3))
% 19.04/19.03 => hAPP(nat,nat,suc,hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),suc)),M_3))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),I_1))))) = hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),M_3))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,I_1))))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_542_card__less,axiom,
% 19.04/19.03 ! [I_1,M_3] :
% 19.04/19.03 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),M_3))
% 19.04/19.03 => hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),M_3))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,I_1))))) != zero_zero(nat) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_543_card__less__Suc2,axiom,
% 19.04/19.03 ! [I_1,M_3] :
% 19.04/19.03 ( ~ hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),M_3))
% 19.04/19.03 => hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),suc)),M_3))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),I_1)))) = hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),M_3))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,I_1))))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_544_card__gt__0__iff,axiom,
% 19.04/19.03 ! [X_b,A_3] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3)))
% 19.04/19.03 <=> ( ti(fun(X_b,bool),A_3) != bot_bot(fun(X_b,bool))
% 19.04/19.03 & hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_545_Suc__diff__1,axiom,
% 19.04/19.03 ! [N] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))
% 19.04/19.03 => hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))) = N ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_546_Suc__pred_H,axiom,
% 19.04/19.03 ! [N] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))
% 19.04/19.03 => N = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),N),one_one(nat))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_547_add__eq__if,axiom,
% 19.04/19.03 ! [N,M_1] :
% 19.04/19.03 ( ( M_1 = zero_zero(nat)
% 19.04/19.03 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N) = N )
% 19.04/19.03 & ( M_1 != zero_zero(nat)
% 19.04/19.03 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),one_one(nat))),N)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_548_ex__least__nat__less,axiom,
% 19.04/19.03 ! [Na,Pa] :
% 19.04/19.03 ( ~ hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))
% 19.04/19.03 => ( hBOOL(hAPP(nat,bool,Pa,Na))
% 19.04/19.03 => ? [K_2] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),K_2),Na))
% 19.04/19.03 & ! [I] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),K_2))
% 19.04/19.03 => ~ hBOOL(hAPP(nat,bool,Pa,I)) )
% 19.04/19.03 & hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),K_2),one_one(nat)))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_549_card__Suc__eq,axiom,
% 19.04/19.03 ! [X_b,A_3,K] :
% 19.04/19.03 ( hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = hAPP(nat,nat,suc,K)
% 19.04/19.03 <=> ? [B_5,B_4] :
% 19.04/19.03 ( ti(fun(X_b,bool),A_3) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_5),B_4)
% 19.04/19.03 & ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_5),B_4))
% 19.04/19.03 & hAPP(fun(X_b,bool),nat,finite_card(X_b),B_4) = K
% 19.04/19.03 & ( K = zero_zero(nat)
% 19.04/19.03 => ti(fun(X_b,bool),B_4) = bot_bot(fun(X_b,bool)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_550_card_Oneutral,axiom,
% 19.04/19.03 ! [X_b,A_3] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 => ( ( ? [X_2] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 19.04/19.03 => one_one(nat) = zero_zero(nat) )
% 19.04/19.03 => hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = zero_zero(nat) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_551_ex__least__nat__le,axiom,
% 19.04/19.03 ! [Na,Pa] :
% 19.04/19.03 ( ~ hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))
% 19.04/19.03 => ( hBOOL(hAPP(nat,bool,Pa,Na))
% 19.04/19.03 => ? [K_2] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_2),Na))
% 19.04/19.03 & ! [I] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),K_2))
% 19.04/19.03 => ~ hBOOL(hAPP(nat,bool,Pa,I)) )
% 19.04/19.03 & hBOOL(hAPP(nat,bool,Pa,K_2)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_552_less__imp__add__positive,axiom,
% 19.04/19.03 ! [I_2,J] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 19.04/19.03 => ? [K_2] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K_2))
% 19.04/19.03 & hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),K_2) = J ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_553_gr0__implies__Suc,axiom,
% 19.04/19.03 ! [N] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N))
% 19.04/19.03 => ? [M_2] : N = hAPP(nat,nat,suc,M_2) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_554_even__less__0__iff,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( linordered_idom(X_b)
% 19.04/19.03 => ! [A_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),A_2)),zero_zero(X_b)))
% 19.04/19.03 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),zero_zero(X_b))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_555_double__eq__0__iff,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( linord219039673up_add(X_b)
% 19.04/19.03 => ! [A_2] :
% 19.04/19.03 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),A_2) = zero_zero(X_b)
% 19.04/19.03 <=> ti(X_b,A_2) = zero_zero(X_b) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_556_card__eq__SucD,axiom,
% 19.04/19.03 ! [X_b,A_3,K] :
% 19.04/19.03 ( hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = hAPP(nat,nat,suc,K)
% 19.04/19.03 => ? [B_5,B_4] :
% 19.04/19.03 ( ti(fun(X_b,bool),A_3) = hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),B_5),B_4)
% 19.04/19.03 & ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_5),B_4))
% 19.04/19.03 & hAPP(fun(X_b,bool),nat,finite_card(X_b),B_4) = K
% 19.04/19.03 & ( K = zero_zero(nat)
% 19.04/19.03 => ti(fun(X_b,bool),B_4) = bot_bot(fun(X_b,bool)) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_557_nat_Oexhaust,axiom,
% 19.04/19.03 ! [Y] :
% 19.04/19.03 ( Y != zero_zero(nat)
% 19.04/19.03 => ~ ! [Nat] : Y != hAPP(nat,nat,suc,Nat) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_558_zero__induct,axiom,
% 19.04/19.03 ! [Pa,K] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,Pa,K))
% 19.04/19.03 => ( ! [N_1] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,N_1)))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,Pa,N_1)) )
% 19.04/19.03 => hBOOL(hAPP(nat,bool,Pa,zero_zero(nat))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_559_not0__implies__Suc,axiom,
% 19.04/19.03 ! [N] :
% 19.04/19.03 ( N != zero_zero(nat)
% 19.04/19.03 => ? [M_2] : N = hAPP(nat,nat,suc,M_2) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_560_nat__induct,axiom,
% 19.04/19.03 ! [Na,Pa] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,Pa,zero_zero(nat)))
% 19.04/19.03 => ( ! [N_1] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,Pa,N_1))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,Pa,hAPP(nat,nat,suc,N_1))) )
% 19.04/19.03 => hBOOL(hAPP(nat,bool,Pa,Na)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_561_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring_1(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),zero_zero(X_a)),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_562_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring_1(X_a)
% 19.04/19.03 => ! [A_1,B,C,D] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),D)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_563_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring_1(X_a)
% 19.04/19.03 => ! [A_1,B,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),B) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_564_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring_1(X_a)
% 19.04/19.03 => ! [A_1,B,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),C)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_565_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring_1(X_a)
% 19.04/19.03 => ! [A_1,C,D] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C)),D) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_566_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring_1(X_a)
% 19.04/19.03 => ! [A_1,C,D] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),D)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_567_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring_1(X_a)
% 19.04/19.03 => ! [A_1,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),C) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_568_add__0__iff,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( semiri456707255roduct(X_b)
% 19.04/19.03 => ! [B_3,A_2] :
% 19.04/19.03 ( ti(X_b,B_3) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),B_3),A_2)
% 19.04/19.03 <=> ti(X_b,A_2) = zero_zero(X_b) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_569_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring_1(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),zero_zero(X_a)) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_570_field__le__epsilon,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linordered_field(X_a)
% 19.04/19.03 => ! [X,Y] :
% 19.04/19.03 ( ! [E_2] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),E_2))
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Y),E_2))) )
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y)) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_571_card_Oeq__fold__g,axiom,
% 19.04/19.03 ! [X_b,A_3] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 => hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = hAPP(fun(X_b,bool),nat,hAPP(nat,fun(fun(X_b,bool),nat),hAPP(fun(X_b,nat),fun(nat,fun(fun(X_b,bool),nat)),hAPP(fun(nat,fun(nat,nat)),fun(fun(X_b,nat),fun(nat,fun(fun(X_b,bool),nat))),finite_fold_image(nat,X_b),plus_plus(nat)),hAPP(nat,fun(X_b,nat),combk(nat,X_b),one_one(nat))),zero_zero(nat)),A_3) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_572_card__def,axiom,
% 19.04/19.03 ! [X_b,A_3] :
% 19.04/19.03 ( ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 => hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = hAPP(fun(X_b,bool),nat,hAPP(nat,fun(fun(X_b,bool),nat),hAPP(fun(X_b,nat),fun(nat,fun(fun(X_b,bool),nat)),hAPP(fun(nat,fun(nat,nat)),fun(fun(X_b,nat),fun(nat,fun(fun(X_b,bool),nat))),finite_fold_image(nat,X_b),plus_plus(nat)),hAPP(nat,fun(X_b,nat),combk(nat,X_b),one_one(nat))),zero_zero(nat)),A_3) )
% 19.04/19.03 & ( ~ hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.03 => hAPP(fun(X_b,bool),nat,finite_card(X_b),A_3) = zero_zero(nat) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_573_fold__image__empty,axiom,
% 19.04/19.03 ! [X_c,X_b,F,G,Z_2] : hAPP(fun(X_c,bool),X_b,hAPP(X_b,fun(fun(X_c,bool),X_b),hAPP(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b)),hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b))),finite_fold_image(X_b,X_c),F),G),Z_2),bot_bot(fun(X_c,bool))) = ti(X_b,Z_2) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_574_folding__image__simple_Oeq__fold__g,axiom,
% 19.04/19.03 ! [X_c,X_b,A_3,F,Z_2,G,F_1] :
% 19.04/19.03 ( hBOOL(hAPP(fun(fun(X_c,bool),X_b),bool,hAPP(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool),hAPP(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool)),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(fun(X_c,X_b),fun(fun(fun(X_c,bool),X_b),bool))),finite1357897459simple(X_b,X_c),F),Z_2),G),F_1))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),A_3))
% 19.04/19.03 => hAPP(fun(X_c,bool),X_b,F_1,A_3) = hAPP(fun(X_c,bool),X_b,hAPP(X_b,fun(fun(X_c,bool),X_b),hAPP(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b)),hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b))),finite_fold_image(X_b,X_c),F),G),Z_2),A_3) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_575_Ints__odd__less__0,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( linordered_idom(X_b)
% 19.04/19.03 => ! [A_2] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),ring_1_Ints(X_b)))
% 19.04/19.03 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),one_one(X_b)),A_2)),A_2)),zero_zero(X_b)))
% 19.04/19.03 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),zero_zero(X_b))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_576_expand__Suc,axiom,
% 19.04/19.03 ! [V] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(int,nat,number_number_of(nat),V)))
% 19.04/19.03 => hAPP(int,nat,number_number_of(nat),V) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(int,nat,number_number_of(nat),V)),one_one(nat))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_577_convex__bound__lt,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( linord626643107strict(X_a)
% 19.04/19.03 => ! [V,U_1,Y,X,A_1] :
% 19.04/19.03 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Y),A_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),U_1))
% 19.04/19.03 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),V))
% 19.04/19.03 => ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),U_1),V) = one_one(X_a)
% 19.04/19.03 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),U_1),X)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),V),Y))),A_1)) ) ) ) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_578_Ints__diff,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( ring_1(X_b)
% 19.04/19.03 => ! [B_3,A_2] :
% 19.04/19.03 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),ring_1_Ints(X_b)))
% 19.04/19.03 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_3),ring_1_Ints(X_b)))
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3)),ring_1_Ints(X_b))) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_579_mult__zero__left,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( mult_zero(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),zero_zero(X_a)),A_1) = zero_zero(X_a) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_580_mult__zero__right,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( mult_zero(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),zero_zero(X_a)) = zero_zero(X_a) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_581_mult__eq__0__iff,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( ring_n68954251visors(X_b)
% 19.04/19.03 => ! [A_2,B_3] :
% 19.04/19.03 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),B_3) = zero_zero(X_b)
% 19.04/19.03 <=> ( ti(X_b,A_2) = zero_zero(X_b)
% 19.04/19.03 | ti(X_b,B_3) = zero_zero(X_b) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_582_no__zero__divisors,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( no_zero_divisors(X_a)
% 19.04/19.03 => ! [B,A_1] :
% 19.04/19.03 ( ti(X_a,A_1) != zero_zero(X_a)
% 19.04/19.03 => ( ti(X_a,B) != zero_zero(X_a)
% 19.04/19.03 => hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B) != zero_zero(X_a) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_583_divisors__zero,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( no_zero_divisors(X_a)
% 19.04/19.03 => ! [A_1,B] :
% 19.04/19.03 ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B) = zero_zero(X_a)
% 19.04/19.03 => ( ti(X_a,A_1) = zero_zero(X_a)
% 19.04/19.03 | ti(X_a,B) = zero_zero(X_a) ) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_584_mult__0,axiom,
% 19.04/19.03 ! [N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),N) = zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_585_mult__0__right,axiom,
% 19.04/19.03 ! [M_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),zero_zero(nat)) = zero_zero(nat) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_586_mult__is__0,axiom,
% 19.04/19.03 ! [M,Na] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),Na) = zero_zero(nat)
% 19.04/19.03 <=> ( M = zero_zero(nat)
% 19.04/19.03 | Na = zero_zero(nat) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_587_mult__cancel1,axiom,
% 19.04/19.03 ! [K,M,Na] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),M) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),Na)
% 19.04/19.03 <=> ( M = Na
% 19.04/19.03 | K = zero_zero(nat) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_588_mult__cancel2,axiom,
% 19.04/19.03 ! [M,K,Na] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),K) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),Na),K)
% 19.04/19.03 <=> ( M = Na
% 19.04/19.03 | K = zero_zero(nat) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_589_comp__fun__idem,axiom,
% 19.04/19.03 ! [X_b] :
% 19.04/19.03 ( ab_sem1668676832m_mult(X_b)
% 19.04/19.03 => hBOOL(hAPP(fun(X_b,fun(X_b,X_b)),bool,finite_comp_fun_idem(X_b,X_b),times_times(X_b))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_590_comm__semiring__class_Odistrib,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_semiring(X_a)
% 19.04/19.03 => ! [A_1,B,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C)) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_591_combine__common__factor,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( semiring(X_a)
% 19.04/19.03 => ! [A_1,E_1,B,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),E_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),E_1)),C)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),E_1)),C) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_592_mult_Ocomm__neutral,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_monoid_mult(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),one_one(X_a)) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_593_mult__1__right,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( monoid_mult(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),one_one(X_a)) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_594_mult__1,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( comm_monoid_mult(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),one_one(X_a)),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_595_mult__1__left,axiom,
% 19.04/19.03 ! [X_a] :
% 19.04/19.03 ( monoid_mult(X_a)
% 19.04/19.03 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),one_one(X_a)),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_596_Suc__mult__cancel1,axiom,
% 19.04/19.03 ! [K,M,Na] :
% 19.04/19.03 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,K)),M) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,K)),Na)
% 19.04/19.03 <=> M = Na ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_597_add__mult__distrib,axiom,
% 19.04/19.03 ! [M_1,N,K_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N)),K_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),N),K_1)) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_598_add__mult__distrib2,axiom,
% 19.04/19.03 ! [K_1,M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),M_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),N)) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_599_mult__le__mono,axiom,
% 19.04/19.03 ! [K_1,L_1,I_2,J] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 19.04/19.03 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),K_1),L_1))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J),L_1))) ) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_600_mult__le__mono2,axiom,
% 19.04/19.03 ! [K_1,I_2,J] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),I_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),J))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_601_mult__le__mono1,axiom,
% 19.04/19.03 ! [K_1,I_2,J] :
% 19.04/19.03 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 19.04/19.03 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J),K_1))) ) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_602_le__cube,axiom,
% 19.04/19.03 ! [M_1] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),M_1)))) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_603_le__square,axiom,
% 19.04/19.03 ! [M_1] : hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),M_1))) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_604_diff__mult__distrib,axiom,
% 19.04/19.03 ! [M_1,N,K_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)),K_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),N),K_1)) ).
% 19.04/19.03
% 19.04/19.03 fof(fact_605_diff__mult__distrib2,axiom,
% 19.04/19.04 ! [K_1,M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),M_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),N)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_606_times_Oidem,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ab_sem1668676832m_mult(X_a)
% 19.04/19.04 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_607_mult__idem,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ab_sem1668676832m_mult(X_a)
% 19.04/19.04 => ! [X] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),X),X) = ti(X_a,X) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_608_mult__left__idem,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ab_sem1668676832m_mult(X_a)
% 19.04/19.04 => ! [A_1,B] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_609_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ab_semigroup_mult(X_a)
% 19.04/19.04 => ! [A_1,B,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)),C) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_610_nat__mult__eq__1__iff,axiom,
% 19.04/19.04 ! [M,Na] :
% 19.04/19.04 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),Na) = one_one(nat)
% 19.04/19.04 <=> ( M = one_one(nat)
% 19.04/19.04 & Na = one_one(nat) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_611_nat__mult__1__right,axiom,
% 19.04/19.04 ! [N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),N),one_one(nat)) = N ).
% 19.04/19.04
% 19.04/19.04 fof(fact_612_nat__1__eq__mult__iff,axiom,
% 19.04/19.04 ! [M,Na] :
% 19.04/19.04 ( one_one(nat) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),Na)
% 19.04/19.04 <=> ( M = one_one(nat)
% 19.04/19.04 & Na = one_one(nat) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_613_nat__mult__1,axiom,
% 19.04/19.04 ! [N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),one_one(nat)),N) = N ).
% 19.04/19.04
% 19.04/19.04 fof(fact_614_less__number__of,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ( number_ring(X_b)
% 19.04/19.04 & linordered_idom(X_b) )
% 19.04/19.04 => ! [X_1,Y_2] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(int,X_b,number_number_of(X_b),X_1)),hAPP(int,X_b,number_number_of(X_b),Y_2)))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X_1),Y_2)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_615_Ints__number__of,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( number_ring(X_b)
% 19.04/19.04 => ! [W_1] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(int,X_b,number_number_of(X_b),W_1)),ring_1_Ints(X_b))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_616_number__of__mult,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V,W] : hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),V),W)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(int,X_a,number_number_of(X_a),V)),hAPP(int,X_a,number_number_of(X_a),W)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_617_number__of__reorient,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( number(X_b)
% 19.04/19.04 => ! [W_1,X_1] :
% 19.04/19.04 ( hAPP(int,X_b,number_number_of(X_b),W_1) = ti(X_b,X_1)
% 19.04/19.04 <=> ti(X_b,X_1) = hAPP(int,X_b,number_number_of(X_b),W_1) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_618_arith__simps_I32_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V,W] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(int,X_a,number_number_of(X_a),V)),hAPP(int,X_a,number_number_of(X_a),W)) = hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),V),W)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_619_eq__number__of,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ( number_ring(X_b)
% 19.04/19.04 & ring_char_0(X_b) )
% 19.04/19.04 => ! [X_1,Y_2] :
% 19.04/19.04 ( hAPP(int,X_b,number_number_of(X_b),X_1) = hAPP(int,X_b,number_number_of(X_b),Y_2)
% 19.04/19.04 <=> X_1 = Y_2 ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_620_mult__number__of__left,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V,W,Z] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(int,X_a,number_number_of(X_a),V)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(int,X_a,number_number_of(X_a),W)),Z)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),V),W))),Z) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_621_Ints__mult,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring_1(X_b)
% 19.04/19.04 => ! [B_3,A_2] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),ring_1_Ints(X_b)))
% 19.04/19.04 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_3),ring_1_Ints(X_b)))
% 19.04/19.04 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),B_3)),ring_1_Ints(X_b))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_622_le__number__of,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ( number_ring(X_b)
% 19.04/19.04 & linordered_idom(X_b) )
% 19.04/19.04 => ! [X_1,Y_2] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(int,X_b,number_number_of(X_b),X_1)),hAPP(int,X_b,number_number_of(X_b),Y_2)))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X_1),Y_2)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_623_number__of__diff,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V,W] : hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),V),W)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(int,X_a,number_number_of(X_a),V)),hAPP(int,X_a,number_number_of(X_a),W)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_624_left__diff__distrib__number__of,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ( number(X_b)
% 19.04/19.04 & ring(X_b) )
% 19.04/19.04 => ! [A_1,B,V] : hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_1),B)),hAPP(int,X_b,number_number_of(X_b),V)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_1),hAPP(int,X_b,number_number_of(X_b),V))),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B),hAPP(int,X_b,number_number_of(X_b),V))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_625_right__diff__distrib__number__of,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ( number(X_b)
% 19.04/19.04 & ring(X_b) )
% 19.04/19.04 => ! [V,B,C] : hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(int,X_b,number_number_of(X_b),V)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),B),C)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(int,X_b,number_number_of(X_b),V)),B)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(int,X_b,number_number_of(X_b),V)),C)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_626_Ints__add,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring_1(X_b)
% 19.04/19.04 => ! [B_3,A_2] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),ring_1_Ints(X_b)))
% 19.04/19.04 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),B_3),ring_1_Ints(X_b)))
% 19.04/19.04 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),B_3)),ring_1_Ints(X_b))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_627_number__of__add,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V,W] : hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),V),W)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(int,X_a,number_number_of(X_a),V)),hAPP(int,X_a,number_number_of(X_a),W)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_628_add__number__of__eq,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V,W] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(int,X_a,number_number_of(X_a),V)),hAPP(int,X_a,number_number_of(X_a),W)) = hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),V),W)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_629_right__distrib__number__of,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ( number(X_b)
% 19.04/19.04 & semiring(X_b) )
% 19.04/19.04 => ! [V,B,C] : hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(int,X_b,number_number_of(X_b),V)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),B),C)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(int,X_b,number_number_of(X_b),V)),B)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(int,X_b,number_number_of(X_b),V)),C)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_630_add__number__of__left,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V,W,Z] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(int,X_a,number_number_of(X_a),V)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(int,X_a,number_number_of(X_a),W)),Z)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),V),W))),Z) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_631_left__distrib__number__of,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ( number(X_b)
% 19.04/19.04 & semiring(X_b) )
% 19.04/19.04 => ! [A_1,B,V] : hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_1),B)),hAPP(int,X_b,number_number_of(X_b),V)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_1),hAPP(int,X_b,number_number_of(X_b),V))),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B),hAPP(int,X_b,number_number_of(X_b),V))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_632_Ints__0,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring_1(X_b)
% 19.04/19.04 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),zero_zero(X_b)),ring_1_Ints(X_b))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_633_Ints__1,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring_1(X_b)
% 19.04/19.04 => hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),one_one(X_b)),ring_1_Ints(X_b))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_634_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),one_one(X_a)),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_635_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),one_one(X_a)) = ti(X_a,A_1) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_636_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [A_1,B] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),A_1) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_637_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [Lx,Rx,Ry] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Rx),Ry)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Rx),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Ry)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_638_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [Lx,Rx,Ry] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Rx),Ry)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Rx)),Ry) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_639_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [Lx,Ly,Rx] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Ly)),Rx) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Ly),Rx)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_640_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [Lx,Ly,Rx] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Ly)),Rx) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Rx)),Ly) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_641_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [Lx,Ly,Rx,Ry] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Ly)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Rx),Ry)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Ly),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Rx),Ry))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_642_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [Lx,Ly,Rx,Ry] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Ly)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Rx),Ry)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Rx),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Ly)),Ry)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_643_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [Lx,Ly,Rx,Ry] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Ly)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Rx),Ry)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Lx),Rx)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Ly),Ry)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_644_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [X,Y,Z] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),X),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),Y),Z)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),X),Y)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),X),Z)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_645_crossproduct__noteq,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( semiri456707255roduct(X_b)
% 19.04/19.04 => ! [C_1,D_1,A_2,B_3] :
% 19.04/19.04 ( ( ti(X_b,A_2) != ti(X_b,B_3)
% 19.04/19.04 & ti(X_b,C_1) != ti(X_b,D_1) )
% 19.04/19.04 <=> hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),C_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),D_1)) != hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),D_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),C_1)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_646_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [A_1,B,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),C) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_647_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [A_1,M_1,B] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),M_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),M_1)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),M_1) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_648_crossproduct__eq,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( semiri456707255roduct(X_b)
% 19.04/19.04 => ! [W_1,Y_2,X_1,Z_2] :
% 19.04/19.04 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),W_1),Y_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),X_1),Z_2)) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),W_1),Z_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),X_1),Y_2))
% 19.04/19.04 <=> ( ti(X_b,W_1) = ti(X_b,X_1)
% 19.04/19.04 | ti(X_b,Y_2) = ti(X_b,Z_2) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_649_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),zero_zero(X_a)),A_1) = zero_zero(X_a) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_650_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),zero_zero(X_a)) = zero_zero(X_a) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_651_le__number__of__eq__not__less,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ( number(X_b)
% 19.04/19.04 & linorder(X_b) )
% 19.04/19.04 => ! [V_3,W_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(int,X_b,number_number_of(X_b),V_3)),hAPP(int,X_b,number_number_of(X_b),W_1)))
% 19.04/19.04 <=> ~ hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(int,X_b,number_number_of(X_b),W_1)),hAPP(int,X_b,number_number_of(X_b),V_3))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_652_add__number__of__diff1,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V,W,C] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(int,X_a,number_number_of(X_a),V)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(int,X_a,number_number_of(X_a),W)),C)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),V),W))),C) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_653_split__mult__neg__le,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordere453448008miring(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( ( ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 & hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),zero_zero(X_a))) )
% 19.04/19.04 | ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),zero_zero(X_a)))
% 19.04/19.04 & hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B)) ) )
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)),zero_zero(X_a))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_654_split__mult__pos__le,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordered_ring(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( ( ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 & hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B)) )
% 19.04/19.04 | ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),zero_zero(X_a)))
% 19.04/19.04 & hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),zero_zero(X_a))) ) )
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_655_mult__mono,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordered_semiring(X_a)
% 19.04/19.04 => ! [C,D,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),D))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),D))) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_656_mult__mono_H,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordered_semiring(X_a)
% 19.04/19.04 => ! [C,D,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),D))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),D))) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_657_mult__left__mono__neg,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordered_ring(X_a)
% 19.04/19.04 => ! [C,B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_658_mult__right__mono__neg,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordered_ring(X_a)
% 19.04/19.04 => ! [C,B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_659_comm__mult__left__mono,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordere1490568538miring(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_660_mult__left__mono,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordered_semiring(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_661_mult__right__mono,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordered_semiring(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_662_mult__nonpos__nonpos,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordered_ring(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),zero_zero(X_a)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_663_mult__nonpos__nonneg,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordere453448008miring(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),zero_zero(X_a)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_664_mult__nonneg__nonpos2,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordere453448008miring(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),A_1)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_665_mult__nonneg__nonpos,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordere453448008miring(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_666_mult__nonneg__nonneg,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( ordere453448008miring(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_667_mult__le__0__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [A_2,B_3] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),B_3)),zero_zero(X_b)))
% 19.04/19.04 <=> ( ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),A_2))
% 19.04/19.04 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),B_3),zero_zero(X_b))) )
% 19.04/19.04 | ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),zero_zero(X_b)))
% 19.04/19.04 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),B_3)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_668_zero__le__mult__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [A_2,B_3] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),B_3)))
% 19.04/19.04 <=> ( ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),A_2))
% 19.04/19.04 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),zero_zero(X_b)),B_3)) )
% 19.04/19.04 | ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),zero_zero(X_b)))
% 19.04/19.04 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),B_3),zero_zero(X_b))) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_669_zero__le__square,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_ring(X_a)
% 19.04/19.04 => ! [A_1] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),A_1))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_670_not__square__less__zero,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_ring(X_a)
% 19.04/19.04 => ! [A_1] : ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),A_1)),zero_zero(X_a))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_671_mult__less__cancel__right__disj,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [A_2,C_1,B_3] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),C_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),C_1)))
% 19.04/19.04 <=> ( ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),C_1))
% 19.04/19.04 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B_3)) )
% 19.04/19.04 | ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),C_1),zero_zero(X_b)))
% 19.04/19.04 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),B_3),A_2)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_672_mult__less__cancel__left__disj,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [C_1,A_2,B_3] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),A_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),B_3)))
% 19.04/19.04 <=> ( ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),C_1))
% 19.04/19.04 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B_3)) )
% 19.04/19.04 | ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),C_1),zero_zero(X_b)))
% 19.04/19.04 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),B_3),A_2)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_673_mult__less__cancel__left__pos,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [A_2,B_3,C_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),C_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),A_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),B_3)))
% 19.04/19.04 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),A_2),B_3)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_674_mult__pos__pos,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_675_mult__pos__neg,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_676_mult__pos__neg2,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),A_1)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_677_zero__less__mult__pos,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_678_zero__less__mult__pos2,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),A_1)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_679_mult__less__cancel__left__neg,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [A_2,B_3,C_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),C_1),zero_zero(X_b)))
% 19.04/19.04 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),A_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),B_3)))
% 19.04/19.04 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),B_3),A_2)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_680_mult__neg__pos,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),zero_zero(X_a)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)),zero_zero(X_a))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_681_mult__neg__neg,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord581940658strict(X_a)
% 19.04/19.04 => ! [B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),zero_zero(X_a)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_682_mult__strict__right__mono,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_683_mult__strict__left__mono,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_684_comm__mult__strict__left__mono,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord893533164strict(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_685_mult__strict__right__mono__neg,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord581940658strict(X_a)
% 19.04/19.04 => ! [C,B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_686_mult__strict__left__mono__neg,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord581940658strict(X_a)
% 19.04/19.04 => ! [C,B,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),B),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),zero_zero(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_687_add__scale__eq__noteq,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( semiri456707255roduct(X_a)
% 19.04/19.04 => ! [C,D,A_1,B,R_3] :
% 19.04/19.04 ( ti(X_a,R_3) != zero_zero(X_a)
% 19.04/19.04 => ( ( ti(X_a,A_1) = ti(X_a,B)
% 19.04/19.04 & ti(X_a,C) != ti(X_a,D) )
% 19.04/19.04 => hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),R_3),C)) != hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),B),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),R_3),D)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_688_sum__squares__eq__zero__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [X_1,Y_2] :
% 19.04/19.04 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),X_1),X_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),Y_2),Y_2)) = zero_zero(X_b)
% 19.04/19.04 <=> ( ti(X_b,X_1) = zero_zero(X_b)
% 19.04/19.04 & ti(X_b,Y_2) = zero_zero(X_b) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_689_less__1__mult,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_semidom(X_a)
% 19.04/19.04 => ! [N,M_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),one_one(X_a)),M_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),one_one(X_a)),N))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),one_one(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),M_1),N))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_690_eq__add__iff2,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring(X_b)
% 19.04/19.04 => ! [A_2,E,C_1,B_3,D_1] :
% 19.04/19.04 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),E)),C_1) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),E)),D_1)
% 19.04/19.04 <=> ti(X_b,C_1) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),B_3),A_2)),E)),D_1) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_691_eq__add__iff1,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring(X_b)
% 19.04/19.04 => ! [A_2,E,C_1,B_3,D_1] :
% 19.04/19.04 ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),E)),C_1) = hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),E)),D_1)
% 19.04/19.04 <=> hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3)),E)),C_1) = ti(X_b,D_1) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_692_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [A_1,M_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),M_1)),M_1) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),one_one(X_a))),M_1) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_693_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [M_1,A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),M_1),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),M_1)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),one_one(X_a))),M_1) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_694_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( comm_semiring_1(X_a)
% 19.04/19.04 => ! [M_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),M_1),M_1) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),one_one(X_a)),one_one(X_a))),M_1) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_695_mult__eq__1__iff,axiom,
% 19.04/19.04 ! [M,Na] :
% 19.04/19.04 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),Na) = hAPP(nat,nat,suc,zero_zero(nat))
% 19.04/19.04 <=> ( M = hAPP(nat,nat,suc,zero_zero(nat))
% 19.04/19.04 & Na = hAPP(nat,nat,suc,zero_zero(nat)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_696_mult__less__mono2,axiom,
% 19.04/19.04 ! [K_1,I_2,J] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K_1))
% 19.04/19.04 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),I_2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K_1),J))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_697_mult__less__mono1,axiom,
% 19.04/19.04 ! [K_1,I_2,J] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I_2),J))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K_1))
% 19.04/19.04 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_2),K_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J),K_1))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_698_mult__less__cancel2,axiom,
% 19.04/19.04 ! [M,K,Na] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),Na),K)))
% 19.04/19.04 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K))
% 19.04/19.04 & hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_699_mult__less__cancel1,axiom,
% 19.04/19.04 ! [K,M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),Na)))
% 19.04/19.04 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K))
% 19.04/19.04 & hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_700_nat__0__less__mult__iff,axiom,
% 19.04/19.04 ! [M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),Na)))
% 19.04/19.04 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),M))
% 19.04/19.04 & hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_701_Suc__mult__less__cancel1,axiom,
% 19.04/19.04 ! [K,M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,K)),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,K)),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_702_mult__Suc__right,axiom,
% 19.04/19.04 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),hAPP(nat,nat,suc,N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_703_mult__Suc,axiom,
% 19.04/19.04 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,M_1)),N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_704_Suc__mult__le__cancel1,axiom,
% 19.04/19.04 ! [K,M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,K)),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,K)),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_705_mult__eq__self__implies__10,axiom,
% 19.04/19.04 ! [M_1,N] :
% 19.04/19.04 ( M_1 = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N)
% 19.04/19.04 => ( N = one_one(nat)
% 19.04/19.04 | M_1 = zero_zero(nat) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_706_Ints__double__eq__0__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring_char_0(X_b)
% 19.04/19.04 => ! [A_2] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),ring_1_Ints(X_b)))
% 19.04/19.04 => ( hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),A_2),A_2) = zero_zero(X_b)
% 19.04/19.04 <=> ti(X_b,A_2) = zero_zero(X_b) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_707_mult__left__le__imp__le,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_708_mult__right__le__imp__le,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [A_1,C,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_709_mult__less__imp__less__left,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_710_mult__left__less__imp__less,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_semiring(X_a)
% 19.04/19.04 => ! [C,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),A_1)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),B)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_711_mult__less__imp__less__right,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [A_1,C,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_712_mult__right__less__imp__less,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_semiring(X_a)
% 19.04/19.04 => ! [A_1,C,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),C)))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_713_mult__le__less__imp__less,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [C,D,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),D))) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_714_mult__less__le__imp__less,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [C,D,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),C),D))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),D))) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_715_mult__strict__mono_H,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [C,D,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),D))) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_716_mult__strict__mono,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord20386208strict(X_a)
% 19.04/19.04 => ! [C,D,A_1,B] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),A_1),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),C),D))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),B))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),C))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),C)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),B),D))) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_717_mult__le__cancel__left__neg,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [A_2,B_3,C_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),C_1),zero_zero(X_b)))
% 19.04/19.04 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),A_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),B_3)))
% 19.04/19.04 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),B_3),A_2)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_718_mult__le__cancel__left__pos,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [A_2,B_3,C_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),C_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),A_2)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),C_1),B_3)))
% 19.04/19.04 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),A_2),B_3)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_719_sum__squares__le__zero__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [X_1,Y_2] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),X_1),X_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),Y_2),Y_2))),zero_zero(X_b)))
% 19.04/19.04 <=> ( ti(X_b,X_1) = zero_zero(X_b)
% 19.04/19.04 & ti(X_b,Y_2) = zero_zero(X_b) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_720_sum__squares__ge__zero,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_ring(X_a)
% 19.04/19.04 => ! [X,Y] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),X),X)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Y),Y)))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_721_not__sum__squares__lt__zero,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_ring(X_a)
% 19.04/19.04 => ! [X,Y] : ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),X),X)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Y),Y))),zero_zero(X_a))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_722_sum__squares__gt__zero__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linord581940658strict(X_b)
% 19.04/19.04 => ! [X_1,Y_2] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),X_1),X_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),Y_2),Y_2))))
% 19.04/19.04 <=> ( ti(X_b,X_1) != zero_zero(X_b)
% 19.04/19.04 | ti(X_b,Y_2) != zero_zero(X_b) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_723_mult__left__le__one__le,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_idom(X_a)
% 19.04/19.04 => ! [Y,X] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),X))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),Y))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),one_one(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Y),X)),X)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_724_mult__right__le__one__le,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_idom(X_a)
% 19.04/19.04 => ! [Y,X] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),X))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),Y))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),one_one(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),X),Y)),X)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_725_le__add__iff2,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ordered_ring(X_b)
% 19.04/19.04 => ! [A_2,E,C_1,B_3,D_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),E)),C_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),E)),D_1)))
% 19.04/19.04 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),C_1),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),B_3),A_2)),E)),D_1))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_726_le__add__iff1,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ordered_ring(X_b)
% 19.04/19.04 => ! [A_2,E,C_1,B_3,D_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),E)),C_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),E)),D_1)))
% 19.04/19.04 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3)),E)),C_1)),D_1)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_727_less__add__iff2,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ordered_ring(X_b)
% 19.04/19.04 => ! [A_2,E,C_1,B_3,D_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),E)),C_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),E)),D_1)))
% 19.04/19.04 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),C_1),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),B_3),A_2)),E)),D_1))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_728_less__add__iff1,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ordered_ring(X_b)
% 19.04/19.04 => ! [A_2,E,C_1,B_3,D_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),A_2),E)),C_1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),B_3),E)),D_1)))
% 19.04/19.04 <=> hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),minus_minus(X_b),A_2),B_3)),E)),C_1)),D_1)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_729_n__less__m__mult__n,axiom,
% 19.04/19.04 ! [M_1,N] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),N))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),M_1))
% 19.04/19.04 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_730_n__less__n__mult__m,axiom,
% 19.04/19.04 ! [M_1,N] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),N))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),M_1))
% 19.04/19.04 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),N),M_1))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_731_one__less__mult,axiom,
% 19.04/19.04 ! [M_1,N] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),N))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),M_1))
% 19.04/19.04 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_732_one__le__mult__iff,axiom,
% 19.04/19.04 ! [M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),Na)))
% 19.04/19.04 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),M))
% 19.04/19.04 & hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_733_mult__le__cancel1,axiom,
% 19.04/19.04 ! [K,M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),Na)))
% 19.04/19.04 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K))
% 19.04/19.04 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_734_mult__le__cancel2,axiom,
% 19.04/19.04 ! [M,K,Na] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M),K)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),Na),K)))
% 19.04/19.04 <=> ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K))
% 19.04/19.04 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_735_fold__image__insert,axiom,
% 19.04/19.04 ! [X_b,X_c] :
% 19.04/19.04 ( ab_semigroup_mult(X_c)
% 19.04/19.04 => ! [G,Z_2,A_2,A_3] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.04 => ( ~ hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),A_3))
% 19.04/19.04 => hAPP(fun(X_b,bool),X_c,hAPP(X_c,fun(fun(X_b,bool),X_c),hAPP(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c))),finite_fold_image(X_c,X_b),times_times(X_c)),G),Z_2),hAPP(fun(X_b,bool),fun(X_b,bool),hAPP(X_b,fun(fun(X_b,bool),fun(X_b,bool)),insert(X_b),A_2),A_3)) = hAPP(X_c,X_c,hAPP(X_c,fun(X_c,X_c),times_times(X_c),hAPP(X_b,X_c,G,A_2)),hAPP(fun(X_b,bool),X_c,hAPP(X_c,fun(fun(X_b,bool),X_c),hAPP(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c))),finite_fold_image(X_c,X_b),times_times(X_c)),G),Z_2),A_3)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_736_fold__image__distrib,axiom,
% 19.04/19.04 ! [X_b,X_c] :
% 19.04/19.04 ( comm_monoid_mult(X_c)
% 19.04/19.04 => ! [G,H,A_3] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.04 => hAPP(fun(X_b,bool),X_c,hAPP(X_c,fun(fun(X_b,bool),X_c),hAPP(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c))),finite_fold_image(X_c,X_b),times_times(X_c)),hAPP(fun(X_b,X_c),fun(X_b,X_c),hAPP(fun(X_b,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_b,X_c)),combs(X_b,X_c,X_c),hAPP(fun(X_b,X_c),fun(X_b,fun(X_c,X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_b,fun(X_c,X_c))),combb(X_c,fun(X_c,X_c),X_b),times_times(X_c)),G)),H)),one_one(X_c)),A_3) = hAPP(X_c,X_c,hAPP(X_c,fun(X_c,X_c),times_times(X_c),hAPP(fun(X_b,bool),X_c,hAPP(X_c,fun(fun(X_b,bool),X_c),hAPP(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c))),finite_fold_image(X_c,X_b),times_times(X_c)),G),one_one(X_c)),A_3)),hAPP(fun(X_b,bool),X_c,hAPP(X_c,fun(fun(X_b,bool),X_c),hAPP(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c))),finite_fold_image(X_c,X_b),times_times(X_c)),H),one_one(X_c)),A_3)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_737_convex__bound__le,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord1278240602ring_1(X_a)
% 19.04/19.04 => ! [V,U_1,Y,X,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),Y),A_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),U_1))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),V))
% 19.04/19.04 => ( hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),U_1),V) = one_one(X_a)
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),U_1),X)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),V),Y))),A_1)) ) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_738_mult__eq__if,axiom,
% 19.04/19.04 ! [N,M_1] :
% 19.04/19.04 ( ( M_1 = zero_zero(nat)
% 19.04/19.04 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N) = zero_zero(nat) )
% 19.04/19.04 & ( M_1 != zero_zero(nat)
% 19.04/19.04 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),N),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),one_one(nat))),N)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_739_Ints__odd__nonzero,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring_char_0(X_b)
% 19.04/19.04 => ! [A_2] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),A_2),ring_1_Ints(X_b)))
% 19.04/19.04 => hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),plus_plus(X_b),one_one(X_b)),A_2)),A_2) != zero_zero(X_b) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_740_field__le__mult__one__interval,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linord1117847801e_zero(X_a)
% 19.04/19.04 => ! [X,Y] :
% 19.04/19.04 ( ! [Z_3] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),Z_3))
% 19.04/19.04 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_3),one_one(X_a)))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Z_3),X)),Y)) ) )
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X),Y)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_741_fold__image__1,axiom,
% 19.04/19.04 ! [X_b,X_c] :
% 19.04/19.04 ( comm_monoid_mult(X_c)
% 19.04/19.04 => ! [F,S] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),S))
% 19.04/19.04 => ( ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),S))
% 19.04/19.04 => hAPP(X_b,X_c,F,X_2) = one_one(X_c) )
% 19.04/19.04 => hAPP(fun(X_b,bool),X_c,hAPP(X_c,fun(fun(X_b,bool),X_c),hAPP(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c))),finite_fold_image(X_c,X_b),times_times(X_c)),F),one_one(X_c)),S) = one_one(X_c) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_742_nat__less__add__iff2,axiom,
% 19.04/19.04 ! [U,M,Na,I_1,J_1] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_1),U)),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J_1),U)),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_1),I_1)),U)),Na))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_743_nat__mult__commute,axiom,
% 19.04/19.04 ! [M_1,N] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),N),M_1) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_744_nat__mult__assoc,axiom,
% 19.04/19.04 ! [M_1,N,K_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N)),K_1) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),N),K_1)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_745_less__number__of__int__code,axiom,
% 19.04/19.04 ! [K,L] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,number_number_of(int),K)),hAPP(int,int,number_number_of(int),L)))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),K),L)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_746_zmult__1,axiom,
% 19.04/19.04 ! [Z] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),Z) = Z ).
% 19.04/19.04
% 19.04/19.04 fof(fact_747_zmult__1__right,axiom,
% 19.04/19.04 ! [Z] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z),one_one(int)) = Z ).
% 19.04/19.04
% 19.04/19.04 fof(fact_748_zmult__commute,axiom,
% 19.04/19.04 ! [Z,W] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z),W) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),W),Z) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_749_times__numeral__code_I5_J,axiom,
% 19.04/19.04 ! [V,W] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),V)),hAPP(int,int,number_number_of(int),W)) = hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),V),W)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_750_zmult__assoc,axiom,
% 19.04/19.04 ! [Z1,Z2,Z3] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z1),Z2)),Z3) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z2),Z3)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_751_less__eq__number__of__int__code,axiom,
% 19.04/19.04 ! [K,L] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),K)),hAPP(int,int,number_number_of(int),L)))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K),L)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_752_zdiff__zmult__distrib,axiom,
% 19.04/19.04 ! [Z1,Z2,W] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),Z1),Z2)),W) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z1),W)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z2),W)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_753_zdiff__zmult__distrib2,axiom,
% 19.04/19.04 ! [W,Z1,Z2] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),W),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),Z1),Z2)) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),W),Z1)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),W),Z2)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_754_zadd__zmult__distrib2,axiom,
% 19.04/19.04 ! [W,Z1,Z2] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),W),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z1),Z2)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),W),Z1)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),W),Z2)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_755_plus__numeral__code_I9_J,axiom,
% 19.04/19.04 ! [V,W] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,number_number_of(int),V)),hAPP(int,int,number_number_of(int),W)) = hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),V),W)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_756_zadd__zmult__distrib,axiom,
% 19.04/19.04 ! [Z1,Z2,W] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z1),Z2)),W) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z1),W)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),Z2),W)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_757_zmult__zless__mono2,axiom,
% 19.04/19.04 ! [K_1,I_2,J] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),I_2),J))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),K_1))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),K_1),I_2)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),K_1),J))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_758_pos__zmult__eq__1__iff,axiom,
% 19.04/19.04 ! [Na,M] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),M))
% 19.04/19.04 => ( hAPP(int,int,hAPP(int,fun(int,int),times_times(int),M),Na) = one_one(int)
% 19.04/19.04 <=> ( M = one_one(int)
% 19.04/19.04 & Na = one_one(int) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_759_odd__nonzero,axiom,
% 19.04/19.04 ! [Z] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),Z)),Z) != zero_zero(int) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_760_zadd__0__right,axiom,
% 19.04/19.04 ! [Z] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z),zero_zero(int)) = Z ).
% 19.04/19.04
% 19.04/19.04 fof(fact_761_zadd__0,axiom,
% 19.04/19.04 ! [Z] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),zero_zero(int)),Z) = Z ).
% 19.04/19.04
% 19.04/19.04 fof(fact_762_int__0__less__1,axiom,
% 19.04/19.04 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),one_one(int))) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_763_int__one__le__iff__zero__less,axiom,
% 19.04/19.04 ! [Z_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),Z_2))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),Z_2)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_764_less__bin__lemma,axiom,
% 19.04/19.04 ! [K,L] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),K),L))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),K),L)),zero_zero(int))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_765_le__imp__0__less,axiom,
% 19.04/19.04 ! [Z] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),Z))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),Z))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_766_odd__less__0,axiom,
% 19.04/19.04 ! [Z_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),Z_2)),Z_2)),zero_zero(int)))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z_2),zero_zero(int))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_767_zadd__left__mono,axiom,
% 19.04/19.04 ! [K_1,I_2,J] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),I_2),J))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K_1),I_2)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K_1),J))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_768_zadd__assoc,axiom,
% 19.04/19.04 ! [Z1,Z2,Z3] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z1),Z2)),Z3) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z2),Z3)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_769_zadd__left__commute,axiom,
% 19.04/19.04 ! [X,Y,Z] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Y),Z)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Y),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X),Z)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_770_zadd__commute,axiom,
% 19.04/19.04 ! [Z,W] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z),W) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),W),Z) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_771_zle__refl,axiom,
% 19.04/19.04 ! [W] : hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),W),W)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_772_zle__linear,axiom,
% 19.04/19.04 ! [Z,W] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z),W))
% 19.04/19.04 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),W),Z)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_773_zle__trans,axiom,
% 19.04/19.04 ! [K_1,I_2,J] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),I_2),J))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),J),K_1))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),I_2),K_1)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_774_zle__antisym,axiom,
% 19.04/19.04 ! [Z,W] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z),W))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),W),Z))
% 19.04/19.04 => Z = W ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_775_zle__diff1__eq,axiom,
% 19.04/19.04 ! [W_1,Z_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),W_1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),Z_2),one_one(int))))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),W_1),Z_2)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_776_zless__linear,axiom,
% 19.04/19.04 ! [X,Y] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X),Y))
% 19.04/19.04 | X = Y
% 19.04/19.04 | hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Y),X)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_777_zless__le,axiom,
% 19.04/19.04 ! [Z_2,W_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z_2),W_1))
% 19.04/19.04 <=> ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z_2),W_1))
% 19.04/19.04 & Z_2 != W_1 ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_778_zadd__strict__right__mono,axiom,
% 19.04/19.04 ! [K_1,I_2,J] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),I_2),J))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),I_2),K_1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),J),K_1))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_779_zadd__zless__mono,axiom,
% 19.04/19.04 ! [Z_4,Z,W_2,W] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),W_2),W))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z_4),Z))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),W_2),Z_4)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),W),Z))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_780_zle__add1__eq__le,axiom,
% 19.04/19.04 ! [W_1,Z_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),W_1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z_2),one_one(int))))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),W_1),Z_2)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_781_add1__zle__eq,axiom,
% 19.04/19.04 ! [W_1,Z_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),W_1),one_one(int))),Z_2))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),W_1),Z_2)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_782_zless__imp__add1__zle,axiom,
% 19.04/19.04 ! [W,Z] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),W),Z))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),W),one_one(int))),Z)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_783_zless__add1__eq,axiom,
% 19.04/19.04 ! [W_1,Z_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),W_1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),Z_2),one_one(int))))
% 19.04/19.04 <=> ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),W_1),Z_2))
% 19.04/19.04 | W_1 = Z_2 ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_784_nat__mult__eq__cancel__disj,axiom,
% 19.04/19.04 ! [K,M,Na] :
% 19.04/19.04 ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),M) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),Na)
% 19.04/19.04 <=> ( K = zero_zero(nat)
% 19.04/19.04 | M = Na ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_785_left__add__mult__distrib,axiom,
% 19.04/19.04 ! [I_2,U_1,J,K_1] : hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_2),U_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J),U_1)),K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I_2),J)),U_1)),K_1) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_786_nat__mult__eq__cancel1,axiom,
% 19.04/19.04 ! [M,Na,K] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K))
% 19.04/19.04 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),M) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),Na)
% 19.04/19.04 <=> M = Na ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_787_nat__mult__less__cancel1,axiom,
% 19.04/19.04 ! [M,Na,K] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_788_nat__mult__le__cancel1,axiom,
% 19.04/19.04 ! [M,Na,K] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),K),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_789_nat__le__add__iff1,axiom,
% 19.04/19.04 ! [U,M,Na,J_1,I_1] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),J_1),I_1))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_1),U)),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J_1),U)),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_1),J_1)),U)),M)),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_790_nat__diff__add__eq1,axiom,
% 19.04/19.04 ! [U_1,M_1,N,J,I_2] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),J),I_2))
% 19.04/19.04 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_2),U_1)),M_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J),U_1)),N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_2),J)),U_1)),M_1)),N) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_791_nat__eq__add__iff1,axiom,
% 19.04/19.04 ! [U,M,Na,J_1,I_1] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),J_1),I_1))
% 19.04/19.04 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_1),U)),M) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J_1),U)),Na)
% 19.04/19.04 <=> hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_1),J_1)),U)),M) = Na ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_792_nat__le__add__iff2,axiom,
% 19.04/19.04 ! [U,M,Na,I_1,J_1] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_1),U)),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J_1),U)),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_1),I_1)),U)),Na))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_793_nat__diff__add__eq2,axiom,
% 19.04/19.04 ! [U_1,M_1,N,I_2,J] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_2),J))
% 19.04/19.04 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_2),U_1)),M_1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J),U_1)),N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J),I_2)),U_1)),N)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_794_nat__eq__add__iff2,axiom,
% 19.04/19.04 ! [U,M,Na,I_1,J_1] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I_1),J_1))
% 19.04/19.04 => ( hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_1),U)),M) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J_1),U)),Na)
% 19.04/19.04 <=> M = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),J_1),I_1)),U)),Na) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_795_nat__less__add__iff1,axiom,
% 19.04/19.04 ! [U,M,Na,J_1,I_1] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),J_1),I_1))
% 19.04/19.04 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),I_1),U)),M)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),J_1),U)),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),I_1),J_1)),U)),M)),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_796_zdiv__mono2__neg__lemma,axiom,
% 19.04/19.04 ! [B,Q_2,R_3,B_2,Q_1,R_2] :
% 19.04/19.04 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),Q_2)),R_3) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B_2),Q_1)),R_2)
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B_2),Q_1)),R_2)),zero_zero(int)))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),R_3),B))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),R_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),B_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),B_2),B))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Q_1),Q_2)) ) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_797_unique__quotient__lemma__neg,axiom,
% 19.04/19.04 ! [B,Q_1,R_2,Q_2,R_3] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),Q_1)),R_2)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),Q_2)),R_3)))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),R_3),zero_zero(int)))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),B),R_3))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),B),R_2))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Q_2),Q_1)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_798_number__of__is__id,axiom,
% 19.04/19.04 ! [K_1] : hAPP(int,int,number_number_of(int),K_1) = K_1 ).
% 19.04/19.04
% 19.04/19.04 fof(fact_799_int__0__neq__1,axiom,
% 19.04/19.04 zero_zero(int) != one_one(int) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_800_self__quotient__aux1,axiom,
% 19.04/19.04 ! [R_3,Q_2,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),A_1))
% 19.04/19.04 => ( A_1 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),R_3),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),A_1),Q_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),R_3),A_1))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),Q_2)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_801_self__quotient__aux2,axiom,
% 19.04/19.04 ! [R_3,Q_2,A_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),A_1))
% 19.04/19.04 => ( A_1 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),R_3),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),A_1),Q_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),R_3))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Q_2),one_one(int))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_802_q__pos__lemma,axiom,
% 19.04/19.04 ! [B_2,Q_1,R_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B_2),Q_1)),R_2)))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),R_2),B_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),B_2))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),Q_1)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_803_q__neg__lemma,axiom,
% 19.04/19.04 ! [B_2,Q_1,R_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B_2),Q_1)),R_2)),zero_zero(int)))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),R_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),B_2))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Q_1),zero_zero(int))) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_804_unique__quotient__lemma,axiom,
% 19.04/19.04 ! [B,Q_1,R_2,Q_2,R_3] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),Q_1)),R_2)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),Q_2)),R_3)))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),R_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),R_2),B))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),R_3),B))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Q_1),Q_2)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_805_zdiv__mono2__lemma,axiom,
% 19.04/19.04 ! [B,Q_2,R_3,B_2,Q_1,R_2] :
% 19.04/19.04 ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),Q_2)),R_3) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B_2),Q_1)),R_2)
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B_2),Q_1)),R_2)))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),R_2),B_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),R_3))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),B_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),B_2),B))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Q_2),Q_1)) ) ) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_806_int__less__induct,axiom,
% 19.04/19.04 ! [Pa,I_1,K] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),I_1),K))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),K),one_one(int))))
% 19.04/19.04 => ( ! [I] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),I),K))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,I))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),I),one_one(int)))) ) )
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,I_1)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_807_int__le__induct,axiom,
% 19.04/19.04 ! [Pa,I_1,K] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),I_1),K))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,K))
% 19.04/19.04 => ( ! [I] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),I),K))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,I))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),I),one_one(int)))) ) )
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,I_1)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_808_fold__image__cong,axiom,
% 19.04/19.04 ! [X_b,X_c] :
% 19.04/19.04 ( ab_semigroup_mult(X_c)
% 19.04/19.04 => ! [Z_2,G,H,A_3] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),A_3))
% 19.04/19.04 => ( ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),A_3))
% 19.04/19.04 => hAPP(X_b,X_c,G,X_2) = hAPP(X_b,X_c,H,X_2) )
% 19.04/19.04 => hAPP(fun(X_b,bool),X_c,hAPP(X_c,fun(fun(X_b,bool),X_c),hAPP(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c))),finite_fold_image(X_c,X_b),times_times(X_c)),G),Z_2),A_3) = hAPP(fun(X_b,bool),X_c,hAPP(X_c,fun(fun(X_b,bool),X_c),hAPP(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c)),hAPP(fun(X_c,fun(X_c,X_c)),fun(fun(X_b,X_c),fun(X_c,fun(fun(X_b,bool),X_c))),finite_fold_image(X_c,X_b),times_times(X_c)),H),Z_2),A_3) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_809_int__gr__induct,axiom,
% 19.04/19.04 ! [Pa,K,I_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),K),I_1))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K),one_one(int))))
% 19.04/19.04 => ( ! [I] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),K),I))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,I))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),I),one_one(int)))) ) )
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,I_1)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_810_int__ge__induct,axiom,
% 19.04/19.04 ! [Pa,K,I_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K),I_1))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,K))
% 19.04/19.04 => ( ! [I] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K),I))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,I))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),I),one_one(int)))) ) )
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,I_1)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_811_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 19.04/19.04 ! [Y,X] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),Y))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X),Y))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_812_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 19.04/19.04 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int))) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_813_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 19.04/19.04 ! [Y,X] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),Y))
% 19.04/19.04 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X),Y))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_814_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 19.04/19.04 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),one_one(int))) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_815_transfer__nat__int__set__cong,axiom,
% 19.04/19.04 ! [P_1,Pa] :
% 19.04/19.04 ( ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,X_2))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,P_1,X_2)) ) )
% 19.04/19.04 => hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),Pa)) = hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),P_1)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_816_decr__mult__lemma,axiom,
% 19.04/19.04 ! [K,Pa,D_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),D_1))
% 19.04/19.04 => ( ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,Pa,X_2))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X_2),D_1))) )
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),K))
% 19.04/19.04 => ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,Pa,X_2))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X_2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),K),D_1)))) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_817_conj__le__cong,axiom,
% 19.04/19.04 ! [P_1,Pa,X_1] :
% 19.04/19.04 ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_1))
% 19.04/19.04 => ( hBOOL(Pa)
% 19.04/19.04 <=> hBOOL(P_1) ) )
% 19.04/19.04 => ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_1))
% 19.04/19.04 & hBOOL(Pa) )
% 19.04/19.04 <=> ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_1))
% 19.04/19.04 & hBOOL(P_1) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_818_imp__le__cong,axiom,
% 19.04/19.04 ! [P_1,Pa,X_1] :
% 19.04/19.04 ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_1))
% 19.04/19.04 => ( hBOOL(Pa)
% 19.04/19.04 <=> hBOOL(P_1) ) )
% 19.04/19.04 => ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_1))
% 19.04/19.04 => hBOOL(Pa) )
% 19.04/19.04 <=> ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_1))
% 19.04/19.04 => hBOOL(P_1) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_819_incr__mult__lemma,axiom,
% 19.04/19.04 ! [K,Pa,D_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),D_1))
% 19.04/19.04 => ( ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,Pa,X_2))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X_2),D_1))) )
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),K))
% 19.04/19.04 => ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,Pa,X_2))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X_2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),K),D_1)))) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_820_minf_I8_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linorder(X_a)
% 19.04/19.04 => ! [T_4] :
% 19.04/19.04 ? [Z_3] :
% 19.04/19.04 ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_2),Z_3))
% 19.04/19.04 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),T_4),X_2)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_821_pinf_I6_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linorder(X_a)
% 19.04/19.04 => ! [T_4] :
% 19.04/19.04 ? [Z_3] :
% 19.04/19.04 ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_3),X_2))
% 19.04/19.04 => ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X_2),T_4)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_822_minf_I6_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linorder(X_a)
% 19.04/19.04 => ! [T_4] :
% 19.04/19.04 ? [Z_3] :
% 19.04/19.04 ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),X_2),Z_3))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),X_2),T_4)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_823_pinf_I8_J,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linorder(X_a)
% 19.04/19.04 => ! [T_4] :
% 19.04/19.04 ? [Z_3] :
% 19.04/19.04 ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),Z_3),X_2))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),T_4),X_2)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_824_int__induct,axiom,
% 19.04/19.04 ! [I_1,Pa,K] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,Pa,K))
% 19.04/19.04 => ( ! [I] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K),I))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,I))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),I),one_one(int)))) ) )
% 19.04/19.04 => ( ! [I] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),I),K))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,I))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),I),one_one(int)))) ) )
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,I_1)) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_825_minusinfinity,axiom,
% 19.04/19.04 ! [Pa,P1,D_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),D_1))
% 19.04/19.04 => ( ! [X_2,K_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,P1,X_2))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,P1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X_2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),K_2),D_1)))) )
% 19.04/19.04 => ( ? [Z_3] :
% 19.04/19.04 ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X_2),Z_3))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,X_2))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,P1,X_2)) ) )
% 19.04/19.04 => ( ? [X1] : hBOOL(hAPP(int,bool,P1,X1))
% 19.04/19.04 => ? [X1] : hBOOL(hAPP(int,bool,Pa,X1)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_826_plusinfinity,axiom,
% 19.04/19.04 ! [Pa,P_1,D_1] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),D_1))
% 19.04/19.04 => ( ! [X_2,K_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,P_1,X_2))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,P_1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X_2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),K_2),D_1)))) )
% 19.04/19.04 => ( ? [Z_3] :
% 19.04/19.04 ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z_3),X_2))
% 19.04/19.04 => ( hBOOL(hAPP(int,bool,Pa,X_2))
% 19.04/19.04 <=> hBOOL(hAPP(int,bool,P_1,X_2)) ) )
% 19.04/19.04 => ( ? [X1] : hBOOL(hAPP(int,bool,P_1,X1))
% 19.04/19.04 => ? [X1] : hBOOL(hAPP(int,bool,Pa,X1)) ) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_827_tsub__def,axiom,
% 19.04/19.04 ! [Y,X] :
% 19.04/19.04 ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Y),X))
% 19.04/19.04 => hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X),Y) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X),Y) )
% 19.04/19.04 & ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Y),X))
% 19.04/19.04 => hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X),Y) = zero_zero(int) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_828_of__nat__number__of__lemma,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_ring(X_a)
% 19.04/19.04 => ! [V] :
% 19.04/19.04 ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),V)))
% 19.04/19.04 => hAPP(nat,X_a,semiring_1_of_nat(X_a),hAPP(int,nat,number_number_of(nat),V)) = hAPP(int,X_a,number_number_of(X_a),V) )
% 19.04/19.04 & ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),V)))
% 19.04/19.04 => hAPP(nat,X_a,semiring_1_of_nat(X_a),hAPP(int,nat,number_number_of(nat),V)) = zero_zero(X_a) ) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_829_number__of__int,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( number_semiring(X_a)
% 19.04/19.04 => ! [N] : hAPP(int,X_a,number_number_of(X_a),hAPP(nat,int,semiring_1_of_nat(int),N)) = hAPP(nat,X_a,semiring_1_of_nat(X_a),N) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_830_zero__zle__int,axiom,
% 19.04/19.04 ! [N] : hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),N))) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_831_int__less__0__conv,axiom,
% 19.04/19.04 ! [K_1] : ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),K_1)),zero_zero(int))) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_832_of__nat__0__le__iff,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_semidom(X_a)
% 19.04/19.04 => ! [N] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(nat,X_a,semiring_1_of_nat(X_a),N))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_833_zero__le__imp__of__nat,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_semidom(X_a)
% 19.04/19.04 => ! [M_1] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(nat,X_a,semiring_1_of_nat(X_a),M_1))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_834_of__nat__less__0__iff,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_semidom(X_a)
% 19.04/19.04 => ! [M_1] : ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,semiring_1_of_nat(X_a),M_1)),zero_zero(X_a))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_835_of__nat__0,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( semiring_1(X_a)
% 19.04/19.04 => hAPP(nat,X_a,semiring_1_of_nat(X_a),zero_zero(nat)) = zero_zero(X_a) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_836_of__nat__1,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( semiring_1(X_a)
% 19.04/19.04 => hAPP(nat,X_a,semiring_1_of_nat(X_a),one_one(nat)) = one_one(X_a) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_837_int__1,axiom,
% 19.04/19.04 hAPP(nat,int,semiring_1_of_nat(int),one_one(nat)) = one_one(int) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_838_int__0,axiom,
% 19.04/19.04 hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)) = zero_zero(int) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_839_int__eq__0__conv,axiom,
% 19.04/19.04 ! [Na] :
% 19.04/19.04 ( hAPP(nat,int,semiring_1_of_nat(int),Na) = zero_zero(int)
% 19.04/19.04 <=> Na = zero_zero(nat) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_840_Ints__of__nat,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( ring_1(X_b)
% 19.04/19.04 => ! [Na] : hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(nat,X_b,semiring_1_of_nat(X_b),Na)),ring_1_Ints(X_b))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_841_of__nat__eq__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( semiring_char_0(X_b)
% 19.04/19.04 => ! [M,Na] :
% 19.04/19.04 ( hAPP(nat,X_b,semiring_1_of_nat(X_b),M) = hAPP(nat,X_b,semiring_1_of_nat(X_b),Na)
% 19.04/19.04 <=> M = Na ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_842_of__nat__add,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( semiring_1(X_a)
% 19.04/19.04 => ! [M_1,N] : hAPP(nat,X_a,semiring_1_of_nat(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(nat,X_a,semiring_1_of_nat(X_a),M_1)),hAPP(nat,X_a,semiring_1_of_nat(X_a),N)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_843_of__nat__le__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linordered_semidom(X_b)
% 19.04/19.04 => ! [M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(nat,X_b,semiring_1_of_nat(X_b),M)),hAPP(nat,X_b,semiring_1_of_nat(X_b),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_844_of__nat__less__iff,axiom,
% 19.04/19.04 ! [X_b] :
% 19.04/19.04 ( linordered_semidom(X_b)
% 19.04/19.04 => ! [M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),hAPP(nat,X_b,semiring_1_of_nat(X_b),M)),hAPP(nat,X_b,semiring_1_of_nat(X_b),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_845_less__imp__of__nat__less,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_semidom(X_a)
% 19.04/19.04 => ! [M_1,N] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N))
% 19.04/19.04 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,semiring_1_of_nat(X_a),M_1)),hAPP(nat,X_a,semiring_1_of_nat(X_a),N))) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_846_of__nat__less__imp__less,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( linordered_semidom(X_a)
% 19.04/19.04 => ! [M_1,N] :
% 19.04/19.04 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(nat,X_a,semiring_1_of_nat(X_a),M_1)),hAPP(nat,X_a,semiring_1_of_nat(X_a),N)))
% 19.04/19.04 => hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M_1),N)) ) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_847_zless__int,axiom,
% 19.04/19.04 ! [M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),M)),hAPP(nat,int,semiring_1_of_nat(int),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_848_zle__int,axiom,
% 19.04/19.04 ! [M,Na] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),M)),hAPP(nat,int,semiring_1_of_nat(int),Na)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),Na)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_849_zadd__int,axiom,
% 19.04/19.04 ! [M_1,N] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),M_1)),hAPP(nat,int,semiring_1_of_nat(int),N)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_850_zadd__int__left,axiom,
% 19.04/19.04 ! [M_1,N,Z] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),M_1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),N)),Z)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),M_1),N))),Z) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_851_zle__iff__zadd,axiom,
% 19.04/19.04 ! [W_1,Z_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),W_1),Z_2))
% 19.04/19.04 <=> ? [N_1] : Z_2 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),W_1),hAPP(nat,int,semiring_1_of_nat(int),N_1)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_852_zmult__int,axiom,
% 19.04/19.04 ! [M_1,N] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),M_1)),hAPP(nat,int,semiring_1_of_nat(int),N)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_853_int__mult,axiom,
% 19.04/19.04 ! [M_1,N] : hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N)) = hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),M_1)),hAPP(nat,int,semiring_1_of_nat(int),N)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_854_of__nat__mult,axiom,
% 19.04/19.04 ! [X_a] :
% 19.04/19.04 ( semiring_1(X_a)
% 19.04/19.04 => ! [M_1,N] : hAPP(nat,X_a,semiring_1_of_nat(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),M_1),N)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(nat,X_a,semiring_1_of_nat(X_a),M_1)),hAPP(nat,X_a,semiring_1_of_nat(X_a),N)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_855_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 19.04/19.04 ! [X,Y] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X)),hAPP(nat,int,semiring_1_of_nat(int),Y)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X),Y)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_856_transfer__int__nat__relations_I2_J,axiom,
% 19.04/19.04 ! [X_1,Y_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X_1)),hAPP(nat,int,semiring_1_of_nat(int),Y_2)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X_1),Y_2)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_857_transfer__int__nat__relations_I3_J,axiom,
% 19.04/19.04 ! [X_1,Y_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X_1)),hAPP(nat,int,semiring_1_of_nat(int),Y_2)))
% 19.04/19.04 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X_1),Y_2)) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_858_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 19.04/19.04 ! [X,Y] : hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,hAPP(nat,int,semiring_1_of_nat(int),X)),hAPP(nat,int,semiring_1_of_nat(int),Y)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X),Y)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_859_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 19.04/19.04 ! [X,Y] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X)),hAPP(nat,int,semiring_1_of_nat(int),Y)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X),Y)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_860_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 19.04/19.04 ! [A_3] : hAPP(fun(nat,bool),nat,finite_card(nat),A_3) = hAPP(fun(int,bool),nat,finite_card(int),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),A_3)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_861_transfer__nat__int__set__relations_I1_J,axiom,
% 19.04/19.04 ! [A_3] :
% 19.04/19.04 ( hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),A_3))
% 19.04/19.04 <=> hBOOL(hAPP(fun(int,bool),bool,finite_finite(int),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),A_3))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_862_transfer__int__nat__numerals_I2_J,axiom,
% 19.04/19.04 one_one(int) = hAPP(nat,int,semiring_1_of_nat(int),one_one(nat)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_863_transfer__int__nat__numerals_I1_J,axiom,
% 19.04/19.04 zero_zero(int) = hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_864_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 19.04/19.04 ! [Pa] : hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),Pa)) = hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,int),fun(nat,bool),hAPP(fun(int,bool),fun(fun(nat,int),fun(nat,bool)),combb(int,bool,nat),Pa),semiring_1_of_nat(int)))) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_865_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 19.04/19.04 ! [Z] : hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),Z))) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_866_transfer__int__nat__quantifiers_I2_J,axiom,
% 19.04/19.04 ! [Pa] :
% 19.04/19.04 ( ? [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_2))
% 19.04/19.04 & hBOOL(hAPP(int,bool,Pa,X_2)) )
% 19.04/19.04 <=> ? [X_2] : hBOOL(hAPP(int,bool,Pa,hAPP(nat,int,semiring_1_of_nat(int),X_2))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_867_transfer__int__nat__quantifiers_I1_J,axiom,
% 19.04/19.04 ! [Pa] :
% 19.04/19.04 ( ! [X_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_2))
% 19.04/19.04 => hBOOL(hAPP(int,bool,Pa,X_2)) )
% 19.04/19.04 <=> ! [X_2] : hBOOL(hAPP(int,bool,Pa,hAPP(nat,int,semiring_1_of_nat(int),X_2))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_868_int__le__0__conv,axiom,
% 19.04/19.04 ! [Na] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),Na)),zero_zero(int)))
% 19.04/19.04 <=> Na = zero_zero(nat) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_869_int__Suc0__eq__1,axiom,
% 19.04/19.04 hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,zero_zero(nat))) = one_one(int) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_870_zless__iff__Suc__zadd,axiom,
% 19.04/19.04 ! [W_1,Z_2] :
% 19.04/19.04 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),W_1),Z_2))
% 19.04/19.04 <=> ? [N_1] : Z_2 = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),W_1),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,N_1))) ) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_871_int__Suc,axiom,
% 19.04/19.04 ! [M_1] : hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,M_1)) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),M_1)) ).
% 19.04/19.04
% 19.04/19.04 fof(fact_872_zdiff__int,axiom,
% 19.04/19.04 ! [N,M_1] :
% 19.04/19.04 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M_1))
% 19.04/19.04 => hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),M_1)),hAPP(nat,int,semiring_1_of_nat(int),N)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)) ) ).
% 19.04/19.04
% 19.04/19.05 fof(fact_873_of__nat__Suc,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( semiring_1(X_a)
% 19.04/19.05 => ! [M_1] : hAPP(nat,X_a,semiring_1_of_nat(X_a),hAPP(nat,nat,suc,M_1)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),one_one(X_a)),hAPP(nat,X_a,semiring_1_of_nat(X_a),M_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_874_of__nat__diff,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ring_1(X_a)
% 19.04/19.05 => ! [N,M_1] :
% 19.04/19.05 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),N),M_1))
% 19.04/19.05 => hAPP(nat,X_a,semiring_1_of_nat(X_a),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),M_1),N)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(nat,X_a,semiring_1_of_nat(X_a),M_1)),hAPP(nat,X_a,semiring_1_of_nat(X_a),N)) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_875_zero__less__int__conv,axiom,
% 19.04/19.05 ! [Na] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),Na)))
% 19.04/19.05 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),Na)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_876_zmult__zless__mono2__lemma,axiom,
% 19.04/19.05 ! [K_1,I_2,J] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),I_2),J))
% 19.04/19.05 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),K_1))
% 19.04/19.05 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),K_1)),I_2)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),K_1)),J))) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_877_of__nat__0__less__iff,axiom,
% 19.04/19.05 ! [X_b] :
% 19.04/19.05 ( linordered_semidom(X_b)
% 19.04/19.05 => ! [Na] :
% 19.04/19.05 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),hAPP(nat,X_b,semiring_1_of_nat(X_b),Na)))
% 19.04/19.05 <=> hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),Na)) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_878_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 19.04/19.05 ! [Y,X] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X))
% 19.04/19.05 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),Y))
% 19.04/19.05 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X),Y))) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_879_zdiff__int__split,axiom,
% 19.04/19.05 ! [Pa,X_1,Y_2] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,Pa,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X_1),Y_2))))
% 19.04/19.05 <=> ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),Y_2),X_1))
% 19.04/19.05 => hBOOL(hAPP(int,bool,Pa,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X_1)),hAPP(nat,int,semiring_1_of_nat(int),Y_2)))) )
% 19.04/19.05 & ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X_1),Y_2))
% 19.04/19.05 => hBOOL(hAPP(int,bool,Pa,zero_zero(int))) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_880_tsub__eq,axiom,
% 19.04/19.05 ! [Y,X] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Y),X))
% 19.04/19.05 => hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X),Y) = hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X),Y) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_881_zero__less__imp__eq__int,axiom,
% 19.04/19.05 ! [K_1] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),K_1))
% 19.04/19.05 => ? [N_1] :
% 19.04/19.05 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),N_1))
% 19.04/19.05 & K_1 = hAPP(nat,int,semiring_1_of_nat(int),N_1) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_882_semiring__1__class_Oof__nat__code,axiom,
% 19.04/19.05 ! [X_b] :
% 19.04/19.05 ( semiring_1(X_b)
% 19.04/19.05 => ! [Na] : hAPP(nat,X_b,semiring_1_of_nat(X_b),Na) = hAPP(X_b,X_b,hAPP(nat,fun(X_b,X_b),hAPP(fun(X_b,X_b),fun(nat,fun(X_b,X_b)),semiri532925092at_aux(X_b),hAPP(X_b,fun(X_b,X_b),hAPP(fun(X_b,fun(X_b,X_b)),fun(X_b,fun(X_b,X_b)),combc(X_b,X_b,X_b),plus_plus(X_b)),one_one(X_b))),Na),zero_zero(X_b)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_883_int__int__eq,axiom,
% 19.04/19.05 ! [M,Na] :
% 19.04/19.05 ( hAPP(nat,int,semiring_1_of_nat(int),M) = hAPP(nat,int,semiring_1_of_nat(int),Na)
% 19.04/19.05 <=> M = Na ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_884_transfer__nat__int__set__relations_I4_J,axiom,
% 19.04/19.05 ! [A_3,B_1] :
% 19.04/19.05 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less(fun(nat,bool)),A_3),B_1))
% 19.04/19.05 <=> hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),A_3)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),B_1))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_885_transfer__nat__int__set__relations_I5_J,axiom,
% 19.04/19.05 ! [A_3,B_1] :
% 19.04/19.05 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less_eq(fun(nat,bool)),A_3),B_1))
% 19.04/19.05 <=> hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less_eq(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),A_3)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),B_1))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_886_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 19.04/19.05 bot_bot(fun(int,bool)) = hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),bot_bot(fun(nat,bool))) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_887_transfer__nat__int__set__relations_I3_J,axiom,
% 19.04/19.05 ! [A_3,B_1] :
% 19.04/19.05 ( A_3 = B_1
% 19.04/19.05 <=> hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),A_3) = hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),B_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_888_transfer__nat__int__set__relations_I2_J,axiom,
% 19.04/19.05 ! [X_1,A_3] :
% 19.04/19.05 ( hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X_1),A_3))
% 19.04/19.05 <=> hBOOL(hAPP(fun(int,bool),bool,hAPP(int,fun(fun(int,bool),bool),member(int),hAPP(nat,int,semiring_1_of_nat(int),X_1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),A_3))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_889_int__if__cong,axiom,
% 19.04/19.05 ! [X_1,Y_2,Pa] :
% 19.04/19.05 ( ( hBOOL(Pa)
% 19.04/19.05 => hAPP(nat,int,semiring_1_of_nat(int),X_1) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),hAPP(bool,fun(nat,fun(nat,nat)),if(nat),Pa),X_1),Y_2)) )
% 19.04/19.05 & ( ~ hBOOL(Pa)
% 19.04/19.05 => hAPP(nat,int,semiring_1_of_nat(int),Y_2) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),hAPP(bool,fun(nat,fun(nat,nat)),if(nat),Pa),X_1),Y_2)) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_890_transfer__int__nat__relations_I1_J,axiom,
% 19.04/19.05 ! [X_1,Y_2] :
% 19.04/19.05 ( hAPP(nat,int,semiring_1_of_nat(int),X_1) = hAPP(nat,int,semiring_1_of_nat(int),Y_2)
% 19.04/19.05 <=> X_1 = Y_2 ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_891_of__nat__aux_Osimps_I1_J,axiom,
% 19.04/19.05 ! [X_b] :
% 19.04/19.05 ( semiring_1(X_b)
% 19.04/19.05 => ! [Inc,I_1] : hAPP(X_b,X_b,hAPP(nat,fun(X_b,X_b),hAPP(fun(X_b,X_b),fun(nat,fun(X_b,X_b)),semiri532925092at_aux(X_b),Inc),zero_zero(nat)),I_1) = ti(X_b,I_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_892_of__nat__aux_Osimps_I2_J,axiom,
% 19.04/19.05 ! [X_b] :
% 19.04/19.05 ( semiring_1(X_b)
% 19.04/19.05 => ! [Inc,Na,I_1] : hAPP(X_b,X_b,hAPP(nat,fun(X_b,X_b),hAPP(fun(X_b,X_b),fun(nat,fun(X_b,X_b)),semiri532925092at_aux(X_b),Inc),hAPP(nat,nat,suc,Na)),I_1) = hAPP(X_b,X_b,hAPP(nat,fun(X_b,X_b),hAPP(fun(X_b,X_b),fun(nat,fun(X_b,X_b)),semiri532925092at_aux(X_b),Inc),Na),hAPP(X_b,X_b,Inc,I_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_893_nonneg__int__cases,axiom,
% 19.04/19.05 ! [K_1] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),K_1))
% 19.04/19.05 => ~ ! [N_1] : K_1 != hAPP(nat,int,semiring_1_of_nat(int),N_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_894_nonneg__eq__int,axiom,
% 19.04/19.05 ! [Z] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),Z))
% 19.04/19.05 => ~ ! [M_2] : Z != hAPP(nat,int,semiring_1_of_nat(int),M_2) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_895_zero__le__imp__eq__int,axiom,
% 19.04/19.05 ! [K_1] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),K_1))
% 19.04/19.05 => ? [N_1] : K_1 = hAPP(nat,int,semiring_1_of_nat(int),N_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_896_int__diff__cases,axiom,
% 19.04/19.05 ! [Z] :
% 19.04/19.05 ~ ! [M_2,N_1] : Z != hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),M_2)),hAPP(nat,int,semiring_1_of_nat(int),N_1)) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_897_fold__image__related,axiom,
% 19.04/19.05 ! [X_c,X_b] :
% 19.04/19.05 ( comm_monoid_mult(X_b)
% 19.04/19.05 => ! [H,G,S,R_1,E] :
% 19.04/19.05 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),R_1,E),E))
% 19.04/19.05 => ( ! [X1,Y1,X2,Y2] :
% 19.04/19.05 ( ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),R_1,X1),X2))
% 19.04/19.05 & hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),R_1,Y1),Y2)) )
% 19.04/19.05 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),R_1,hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),X1),Y1)),hAPP(X_b,X_b,hAPP(X_b,fun(X_b,X_b),times_times(X_b),X2),Y2))) )
% 19.04/19.05 => ( hBOOL(hAPP(fun(X_c,bool),bool,finite_finite(X_c),S))
% 19.04/19.05 => ( ! [X_2] :
% 19.04/19.05 ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),X_2),S))
% 19.04/19.05 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),R_1,hAPP(X_c,X_b,H,X_2)),hAPP(X_c,X_b,G,X_2))) )
% 19.04/19.05 => hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),R_1,hAPP(fun(X_c,bool),X_b,hAPP(X_b,fun(fun(X_c,bool),X_b),hAPP(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b)),hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b))),finite_fold_image(X_b,X_c),times_times(X_b)),H),E),S)),hAPP(fun(X_c,bool),X_b,hAPP(X_b,fun(fun(X_c,bool),X_b),hAPP(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b)),hAPP(fun(X_b,fun(X_b,X_b)),fun(fun(X_c,X_b),fun(X_b,fun(fun(X_c,bool),X_b))),finite_fold_image(X_b,X_c),times_times(X_b)),G),E),S))) ) ) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_898_fold__image__eq__general__inverses,axiom,
% 19.04/19.05 ! [X_c,X_b,X_d] :
% 19.04/19.05 ( comm_monoid_mult(X_d)
% 19.04/19.05 => ! [E,G,F,H,K,T_3,S] :
% 19.04/19.05 ( hBOOL(hAPP(fun(X_b,bool),bool,finite_finite(X_b),S))
% 19.04/19.05 => ( ! [Y_1] :
% 19.04/19.05 ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),Y_1),T_3))
% 19.04/19.05 => ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),hAPP(X_c,X_b,K,Y_1)),S))
% 19.04/19.05 & hAPP(X_b,X_c,H,hAPP(X_c,X_b,K,Y_1)) = ti(X_c,Y_1) ) )
% 19.04/19.05 => ( ! [X_2] :
% 19.04/19.05 ( hBOOL(hAPP(fun(X_b,bool),bool,hAPP(X_b,fun(fun(X_b,bool),bool),member(X_b),X_2),S))
% 19.04/19.05 => ( hBOOL(hAPP(fun(X_c,bool),bool,hAPP(X_c,fun(fun(X_c,bool),bool),member(X_c),hAPP(X_b,X_c,H,X_2)),T_3))
% 19.04/19.05 & hAPP(X_c,X_b,K,hAPP(X_b,X_c,H,X_2)) = ti(X_b,X_2)
% 19.04/19.05 & hAPP(X_c,X_d,G,hAPP(X_b,X_c,H,X_2)) = hAPP(X_b,X_d,F,X_2) ) )
% 19.04/19.05 => hAPP(fun(X_b,bool),X_d,hAPP(X_d,fun(fun(X_b,bool),X_d),hAPP(fun(X_b,X_d),fun(X_d,fun(fun(X_b,bool),X_d)),hAPP(fun(X_d,fun(X_d,X_d)),fun(fun(X_b,X_d),fun(X_d,fun(fun(X_b,bool),X_d))),finite_fold_image(X_d,X_b),times_times(X_d)),F),E),S) = hAPP(fun(X_c,bool),X_d,hAPP(X_d,fun(fun(X_c,bool),X_d),hAPP(fun(X_c,X_d),fun(X_d,fun(fun(X_c,bool),X_d)),hAPP(fun(X_d,fun(X_d,X_d)),fun(fun(X_c,X_d),fun(X_d,fun(fun(X_c,bool),X_d))),finite_fold_image(X_d,X_c),times_times(X_d)),G),E),T_3) ) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_899_of__nat__number__of__eq,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [V] :
% 19.04/19.05 ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,X_a,semiring_1_of_nat(X_a),hAPP(int,nat,number_number_of(nat),V)) = zero_zero(X_a) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,X_a,semiring_1_of_nat(X_a),hAPP(int,nat,number_number_of(nat),V)) = hAPP(int,X_a,number_number_of(X_a),V) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_900_decr__lemma,axiom,
% 19.04/19.05 ! [X,Z,D] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),D))
% 19.04/19.05 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X),Z))),one_one(int))),D))),Z)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_901_abs__triangle__ineq4,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),B))),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B)))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_902_abs__diff__triangle__ineq,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B,C,D] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B)),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),C),D)))),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),C))),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),B),D))))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_903_zabs__less__one__iff,axiom,
% 19.04/19.05 ! [Z_2] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,abs_abs(int),Z_2)),one_one(int)))
% 19.04/19.05 <=> Z_2 = zero_zero(int) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_904_neg__def,axiom,
% 19.04/19.05 ! [Z_1] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,nat_neg,Z_1))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z_1),zero_zero(int))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_905_not__neg__eq__ge__0,axiom,
% 19.04/19.05 ! [X_1] :
% 19.04/19.05 ( ~ hBOOL(hAPP(int,bool,nat_neg,X_1))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_906_abs__of__nonneg,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1] :
% 19.04/19.05 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.05 => hAPP(X_a,X_a,abs_abs(X_a),A_1) = ti(X_a,A_1) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_907_abs__le__zero__iff,axiom,
% 19.04/19.05 ! [X_b] :
% 19.04/19.05 ( ordere142940540dd_abs(X_b)
% 19.04/19.05 => ! [A_2] :
% 19.04/19.05 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less_eq(X_b),hAPP(X_b,X_b,abs_abs(X_b),A_2)),zero_zero(X_b)))
% 19.04/19.05 <=> ti(X_b,A_2) = zero_zero(X_b) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_908_abs__ge__zero,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),hAPP(X_a,X_a,abs_abs(X_a),A_1))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_909_abs__not__less__zero,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1] : ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),zero_zero(X_a))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_910_zero__less__abs__iff,axiom,
% 19.04/19.05 ! [X_b] :
% 19.04/19.05 ( ordere142940540dd_abs(X_b)
% 19.04/19.05 => ! [A_2] :
% 19.04/19.05 ( hBOOL(hAPP(X_b,bool,hAPP(X_b,fun(X_b,bool),ord_less(X_b),zero_zero(X_b)),hAPP(X_b,X_b,abs_abs(X_b),A_2)))
% 19.04/19.05 <=> ti(X_b,A_2) != zero_zero(X_b) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_911_abs__of__pos,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1] :
% 19.04/19.05 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),zero_zero(X_a)),A_1))
% 19.04/19.05 => hAPP(X_a,X_a,abs_abs(X_a),A_1) = ti(X_a,A_1) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_912_abs__triangle__ineq3,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B)))),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),B)))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_913_abs__triangle__ineq2,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B))),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),B)))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_914_abs__triangle__ineq2__sym,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B))),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),B),A_1)))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_915_abs__mult__less,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( linordered_idom(X_a)
% 19.04/19.05 => ! [B,D,A_1,C] :
% 19.04/19.05 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),C))
% 19.04/19.05 => ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,abs_abs(X_a),B)),D))
% 19.04/19.05 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B))),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),C),D))) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_916_abs__triangle__ineq,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),B))),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B)))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_917_abs__le__D1,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B] :
% 19.04/19.05 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),B))
% 19.04/19.05 => hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),B)) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_918_abs__ge__self,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1] : hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),hAPP(X_a,X_a,abs_abs(X_a),A_1))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_919_abs__eq__mult,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordered_ring_abs(X_a)
% 19.04/19.05 => ! [B,A_1] :
% 19.04/19.05 ( ( ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),A_1))
% 19.04/19.05 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),A_1),zero_zero(X_a))) )
% 19.04/19.05 & ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),B))
% 19.04/19.05 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),B),zero_zero(X_a))) ) )
% 19.04/19.05 => hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B)) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_920_abs__mult__pos,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( linordered_idom(X_a)
% 19.04/19.05 => ! [Y,X] :
% 19.04/19.05 ( hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),ord_less_eq(X_a),zero_zero(X_a)),X))
% 19.04/19.05 => hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,abs_abs(X_a),Y)),X) = hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),Y),X)) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_921_abs__mult,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( linordered_idom(X_a)
% 19.04/19.05 => ! [A_1,B] : hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),B)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_922_abs__mult__self,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( linordered_idom(X_a)
% 19.04/19.05 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),A_1)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),A_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_923_abs__minus__commute,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B] : hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),A_1),B)) = hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),minus_minus(X_a),B),A_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_924_abs__add__abs,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1,B] : hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B))) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)),hAPP(X_a,X_a,abs_abs(X_a),B)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_925_abs__idempotent,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => ! [A_1] : hAPP(X_a,X_a,abs_abs(X_a),hAPP(X_a,X_a,abs_abs(X_a),A_1)) = hAPP(X_a,X_a,abs_abs(X_a),A_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_926_not__neg__1,axiom,
% 19.04/19.05 ~ hBOOL(hAPP(int,bool,nat_neg,one_one(int))) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_927_abs__one,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( linordered_idom(X_a)
% 19.04/19.05 => hAPP(X_a,X_a,abs_abs(X_a),one_one(X_a)) = one_one(X_a) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_928_not__neg__0,axiom,
% 19.04/19.05 ~ hBOOL(hAPP(int,bool,nat_neg,zero_zero(int))) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_929_abs__eq__0,axiom,
% 19.04/19.05 ! [X_b] :
% 19.04/19.05 ( ordere142940540dd_abs(X_b)
% 19.04/19.05 => ! [A_2] :
% 19.04/19.05 ( hAPP(X_b,X_b,abs_abs(X_b),A_2) = zero_zero(X_b)
% 19.04/19.05 <=> ti(X_b,A_2) = zero_zero(X_b) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_930_abs__zero,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( ordere142940540dd_abs(X_a)
% 19.04/19.05 => hAPP(X_a,X_a,abs_abs(X_a),zero_zero(X_a)) = zero_zero(X_a) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_931_abs__zmult__eq__1,axiom,
% 19.04/19.05 ! [M_1,N] :
% 19.04/19.05 ( hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),M_1),N)) = one_one(int)
% 19.04/19.05 => hAPP(int,int,abs_abs(int),M_1) = one_one(int) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_932_abs__of__nat,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( linordered_idom(X_a)
% 19.04/19.05 => ! [N] : hAPP(X_a,X_a,abs_abs(X_a),hAPP(nat,X_a,semiring_1_of_nat(X_a),N)) = hAPP(nat,X_a,semiring_1_of_nat(X_a),N) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_933_not__neg__int,axiom,
% 19.04/19.05 ! [N] : ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(nat,int,semiring_1_of_nat(int),N))) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_934_abs__int__eq,axiom,
% 19.04/19.05 ! [M_1] : hAPP(int,int,abs_abs(int),hAPP(nat,int,semiring_1_of_nat(int),M_1)) = hAPP(nat,int,semiring_1_of_nat(int),M_1) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_935_neg__imp__number__of__eq__0,axiom,
% 19.04/19.05 ! [V] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(int,nat,number_number_of(nat),V) = zero_zero(nat) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_936_eq__nat__number__of,axiom,
% 19.04/19.05 ! [V_3,V_2] :
% 19.04/19.05 ( hAPP(int,nat,number_number_of(nat),V_3) = hAPP(int,nat,number_number_of(nat),V_2)
% 19.04/19.05 <=> ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V_3)))
% 19.04/19.05 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),V_2)),zero_zero(int))) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V_3)))
% 19.04/19.05 => ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V_2)))
% 19.04/19.05 => hAPP(int,int,number_number_of(int),V_3) = zero_zero(int) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V_2)))
% 19.04/19.05 => V_3 = V_2 ) ) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_937_nat__number__of__add__left,axiom,
% 19.04/19.05 ! [V_1,K_1,V] :
% 19.04/19.05 ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V_1)),K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V_1)),K_1) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V_1)))
% 19.04/19.05 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V_1)),K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V)),K_1) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V_1)))
% 19.04/19.05 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V_1)),K_1)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),V),V_1))),K_1) ) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_938_int__nat__number__of,axiom,
% 19.04/19.05 ! [V] :
% 19.04/19.05 ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),V)) = zero_zero(int) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),V)) = hAPP(int,int,number_number_of(int),V) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_939_incr__lemma,axiom,
% 19.04/19.05 ! [Z,X,D] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),D))
% 19.04/19.05 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X),Z))),one_one(int))),D)))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_940_int__val__lemma,axiom,
% 19.04/19.05 ! [K,F,Na] :
% 19.04/19.05 ( ! [I] :
% 19.04/19.05 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),Na))
% 19.04/19.05 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),one_one(nat)))),hAPP(nat,int,F,I)))),one_one(int))) )
% 19.04/19.05 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,F,zero_zero(nat))),K))
% 19.04/19.05 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K),hAPP(nat,int,F,Na)))
% 19.04/19.05 => ? [I] :
% 19.04/19.05 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),Na))
% 19.04/19.05 & hAPP(nat,int,F,I) = K ) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_941_nat0__intermed__int__val,axiom,
% 19.04/19.05 ! [K,F,Na] :
% 19.04/19.05 ( ! [I] :
% 19.04/19.05 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),Na))
% 19.04/19.05 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),one_one(nat)))),hAPP(nat,int,F,I)))),one_one(int))) )
% 19.04/19.05 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,F,zero_zero(nat))),K))
% 19.04/19.05 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K),hAPP(nat,int,F,Na)))
% 19.04/19.05 => ? [I] :
% 19.04/19.05 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),Na))
% 19.04/19.05 & hAPP(nat,int,F,I) = K ) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_942_nat__intermed__int__val,axiom,
% 19.04/19.05 ! [K,F,Na,M] :
% 19.04/19.05 ( ! [I] :
% 19.04/19.05 ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),I))
% 19.04/19.05 & hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),I),Na)) )
% 19.04/19.05 => hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,F,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),I),one_one(nat)))),hAPP(nat,int,F,I)))),one_one(int))) )
% 19.04/19.05 => ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),M),Na))
% 19.04/19.05 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,F,M)),K))
% 19.04/19.05 => ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K),hAPP(nat,int,F,Na)))
% 19.04/19.05 => ? [I] :
% 19.04/19.05 ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),M),I))
% 19.04/19.05 & hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),I),Na))
% 19.04/19.05 & hAPP(nat,int,F,I) = K ) ) ) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_943_Suc__nat__number__of__add,axiom,
% 19.04/19.05 ! [N,V] :
% 19.04/19.05 ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V)),N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),N) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),V)),N)) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,V))),N) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_944_succ__def,axiom,
% 19.04/19.05 ! [K_1] : hAPP(int,int,succ,K_1) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K_1),one_one(int)) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_945_number__of__succ,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [K_1] : hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,succ,K_1)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),one_one(X_a)),hAPP(int,X_a,number_number_of(X_a),K_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_946_Suc__nat__number__of,axiom,
% 19.04/19.05 ! [V] :
% 19.04/19.05 ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,nat,suc,hAPP(int,nat,number_number_of(nat),V)) = one_one(nat) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),V)))
% 19.04/19.05 => hAPP(nat,nat,suc,hAPP(int,nat,number_number_of(nat),V)) = hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,V)) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_947_nat__number__of__Bit1,axiom,
% 19.04/19.05 ! [W] :
% 19.04/19.05 ( ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),W)))
% 19.04/19.05 => hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,W)) = zero_zero(nat) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),W)))
% 19.04/19.05 => hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,W)) = hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),W)),hAPP(int,nat,number_number_of(nat),W))) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_948_nat__1__add__number__of,axiom,
% 19.04/19.05 ! [V] :
% 19.04/19.05 ( ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),V),pls))
% 19.04/19.05 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(int,nat,number_number_of(nat),V)) = one_one(nat) )
% 19.04/19.05 & ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),V),pls))
% 19.04/19.05 => hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(int,nat,number_number_of(nat),V)) = hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,V)) ) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_949_succ__Pls,axiom,
% 19.04/19.05 hAPP(int,int,succ,pls) = hAPP(int,int,bit1,pls) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_950_neg__number__of__Bit1,axiom,
% 19.04/19.05 ! [W_1] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,W_1))))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),W_1))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_951_not__neg__number__of__Pls,axiom,
% 19.04/19.05 ~ hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),pls))) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_952_transfer__int__nat__numerals_I4_J,axiom,
% 19.04/19.05 hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls)))) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_953_number__of__Bit1,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [W] : hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,bit1,W)) = hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),one_one(X_a)),hAPP(int,X_a,number_number_of(X_a),W))),hAPP(int,X_a,number_number_of(X_a),W)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_954_numeral__1__eq__Suc__0,axiom,
% 19.04/19.05 hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls)) = hAPP(nat,nat,suc,zero_zero(nat)) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_955_numeral__3__eq__3,axiom,
% 19.04/19.05 hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat)))) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_956_Suc3__eq__add__3,axiom,
% 19.04/19.05 ! [N] : hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(nat,nat,suc,N))) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls)))),N) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_957_semiring__norm_I110_J,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => one_one(X_a) = hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,bit1,pls)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_958_Numeral1__eq1__nat,axiom,
% 19.04/19.05 one_one(nat) = hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls)) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_959_nat__numeral__1__eq__1,axiom,
% 19.04/19.05 hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls)) = one_one(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_960_one__is__num__one,axiom,
% 19.04/19.05 one_one(int) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_961_numeral__1__eq__1,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,bit1,pls)) = one_one(X_a) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_962_semiring__numeral__1__eq__1,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_semiring(X_a)
% 19.04/19.05 => hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,bit1,pls)) = one_one(X_a) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_963_mult__numeral__1__right,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),A_1),hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,bit1,pls))) = ti(X_a,A_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_964_mult__numeral__1,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),times_times(X_a),hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,bit1,pls))),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_965_add__special_I3_J,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [V] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(int,X_a,number_number_of(X_a),V)),one_one(X_a)) = hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),V),hAPP(int,int,bit1,pls))) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_966_add__special_I2_J,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [W] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),one_one(X_a)),hAPP(int,X_a,number_number_of(X_a),W)) = hAPP(int,X_a,number_number_of(X_a),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit1,pls)),W)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_967_zero__is__num__zero,axiom,
% 19.04/19.05 zero_zero(int) = hAPP(int,int,number_number_of(int),pls) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_968_Bit1__def,axiom,
% 19.04/19.05 ! [K_1] : hAPP(int,int,bit1,K_1) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),K_1)),K_1) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_969_semiring__numeral__0__eq__0,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_semiring(X_a)
% 19.04/19.05 => hAPP(int,X_a,number_number_of(X_a),pls) = zero_zero(X_a) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_970_number__of__Pls,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => hAPP(int,X_a,number_number_of(X_a),pls) = zero_zero(X_a) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_971_semiring__norm_I112_J,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => zero_zero(X_a) = hAPP(int,X_a,number_number_of(X_a),pls) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_972_add__numeral__0,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),hAPP(int,X_a,number_number_of(X_a),pls)),A_1) = ti(X_a,A_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_973_add__numeral__0__right,axiom,
% 19.04/19.05 ! [X_a] :
% 19.04/19.05 ( number_ring(X_a)
% 19.04/19.05 => ! [A_1] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),plus_plus(X_a),A_1),hAPP(int,X_a,number_number_of(X_a),pls)) = ti(X_a,A_1) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_974_nat__number__of__Pls,axiom,
% 19.04/19.05 hAPP(int,nat,number_number_of(nat),pls) = zero_zero(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_975_semiring__norm_I113_J,axiom,
% 19.04/19.05 zero_zero(nat) = hAPP(int,nat,number_number_of(nat),pls) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_976_Pls__def,axiom,
% 19.04/19.05 pls = zero_zero(int) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_977_rel__simps_I51_J,axiom,
% 19.04/19.05 ! [K,L] :
% 19.04/19.05 ( hAPP(int,int,bit1,K) = hAPP(int,int,bit1,L)
% 19.04/19.05 <=> K = L ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_978_rel__simps_I46_J,axiom,
% 19.04/19.05 ! [K_1] : hAPP(int,int,bit1,K_1) != pls ).
% 19.04/19.05
% 19.04/19.05 fof(fact_979_rel__simps_I39_J,axiom,
% 19.04/19.05 ! [L_1] : pls != hAPP(int,int,bit1,L_1) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_980_diff__bin__simps_I1_J,axiom,
% 19.04/19.05 ! [K_1] : hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),K_1),pls) = K_1 ).
% 19.04/19.05
% 19.04/19.05 fof(fact_981_add__Pls,axiom,
% 19.04/19.05 ! [K_1] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),K_1) = K_1 ).
% 19.04/19.05
% 19.04/19.05 fof(fact_982_add__Pls__right,axiom,
% 19.04/19.05 ! [K_1] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),K_1),pls) = K_1 ).
% 19.04/19.05
% 19.04/19.05 fof(fact_983_mult__Pls,axiom,
% 19.04/19.05 ! [W] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),W) = pls ).
% 19.04/19.05
% 19.04/19.05 fof(fact_984_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 19.04/19.05 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))))) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_985_rel__simps_I19_J,axiom,
% 19.04/19.05 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),pls)) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_986_rel__simps_I22_J,axiom,
% 19.04/19.05 ! [K] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(int,int,bit1,K)))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),K)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_987_rel__simps_I34_J,axiom,
% 19.04/19.05 ! [K,L] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,K)),hAPP(int,int,bit1,L)))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K),L)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_988_less__eq__int__code_I16_J,axiom,
% 19.04/19.05 ! [K1,K2] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,K1)),hAPP(int,int,bit1,K2)))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),K1),K2)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_989_rel__simps_I2_J,axiom,
% 19.04/19.05 ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_990_rel__simps_I12_J,axiom,
% 19.04/19.05 ! [K] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,K)),pls))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),K),pls)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_991_rel__simps_I17_J,axiom,
% 19.04/19.05 ! [K,L] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,K)),hAPP(int,int,bit1,L)))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),K),L)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_992_less__int__code_I16_J,axiom,
% 19.04/19.05 ! [K1,K2] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,K1)),hAPP(int,int,bit1,K2)))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),K1),K2)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_993_rel__simps_I29_J,axiom,
% 19.04/19.05 ! [K] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,K)),pls))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),K),pls)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(fact_994_rel__simps_I5_J,axiom,
% 19.04/19.05 ! [K] :
% 19.04/19.05 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,bit1,K)))
% 19.04/19.05 <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),K)) ) ).
% 19.04/19.05
% 19.04/19.05 %----Arities (105)
% 19.04/19.05 fof(arity_fun___Orderings_Opreorder,axiom,
% 19.04/19.05 ! [T_2,T_1] :
% 19.04/19.05 ( preorder(T_1)
% 19.04/19.05 => preorder(fun(T_2,T_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_fun___Finite__Set_Ofinite,axiom,
% 19.04/19.05 ! [T_2,T_1] :
% 19.04/19.05 ( ( finite_finite_1(T_1)
% 19.04/19.05 & finite_finite_1(T_2) )
% 19.04/19.05 => finite_finite_1(fun(T_2,T_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_fun___Orderings_Oorder,axiom,
% 19.04/19.05 ! [T_2,T_1] :
% 19.04/19.05 ( order(T_1)
% 19.04/19.05 => order(fun(T_2,T_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_fun___Orderings_Oord,axiom,
% 19.04/19.05 ! [T_2,T_1] :
% 19.04/19.05 ( ord(T_1)
% 19.04/19.05 => ord(fun(T_2,T_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_fun___Orderings_Obot,axiom,
% 19.04/19.05 ! [T_2,T_1] :
% 19.04/19.05 ( bot(T_1)
% 19.04/19.05 => bot(fun(T_2,T_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_fun___Groups_Ominus,axiom,
% 19.04/19.05 ! [T_2,T_1] :
% 19.04/19.05 ( minus(T_1)
% 19.04/19.05 => minus(fun(T_2,T_1)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduc,axiom,
% 19.04/19.05 semiri456707255roduct(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 19.04/19.05 ordere223160158up_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 19.04/19.05 ordere236663937imp_le(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__comm__semiring__strict,axiom,
% 19.04/19.05 linord893533164strict(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__semiring__1__strict,axiom,
% 19.04/19.05 linord626643107strict(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__semiring__strict,axiom,
% 19.04/19.05 linord20386208strict(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oordered__ab__semigroup__add,axiom,
% 19.04/19.05 ordere779506340up_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oordered__ab__group__add__abs,axiom,
% 19.04/19.05 ordere142940540dd_abs(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oordered__comm__monoid__add,axiom,
% 19.04/19.05 ordere216010020id_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Olinordered__ab__group__add,axiom,
% 19.04/19.05 linord219039673up_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Ocancel__ab__semigroup__add,axiom,
% 19.04/19.05 cancel146912293up_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Oordered__cancel__semiring,axiom,
% 19.04/19.05 ordere453448008miring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__ring__strict,axiom,
% 19.04/19.05 linord581940658strict(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Oring__no__zero__divisors,axiom,
% 19.04/19.05 ring_n68954251visors(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Oordered__comm__semiring,axiom,
% 19.04/19.05 ordere1490568538miring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__semiring__1,axiom,
% 19.04/19.05 linord1278240602ring_1(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oordered__ab__group__add,axiom,
% 19.04/19.05 ordered_ab_group_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Ocancel__semigroup__add,axiom,
% 19.04/19.05 cancel_semigroup_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__semiring,axiom,
% 19.04/19.05 linordered_semiring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__semidom,axiom,
% 19.04/19.05 linordered_semidom(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oab__semigroup__mult,axiom,
% 19.04/19.05 ab_semigroup_mult(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Ocomm__monoid__mult,axiom,
% 19.04/19.05 comm_monoid_mult(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oab__semigroup__add,axiom,
% 19.04/19.05 ab_semigroup_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Oordered__semiring,axiom,
% 19.04/19.05 ordered_semiring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Oordered__ring__abs,axiom,
% 19.04/19.05 ordered_ring_abs(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Ono__zero__divisors,axiom,
% 19.04/19.05 no_zero_divisors(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Ocomm__monoid__add,axiom,
% 19.04/19.05 comm_monoid_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__ring,axiom,
% 19.04/19.05 linordered_ring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Olinordered__idom,axiom,
% 19.04/19.05 linordered_idom(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Ocomm__semiring__1,axiom,
% 19.04/19.05 comm_semiring_1(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Ocomm__semiring,axiom,
% 19.04/19.05 comm_semiring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Nat_Osemiring__char__0,axiom,
% 19.04/19.05 semiring_char_0(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Int_Onumber__semiring,axiom,
% 19.04/19.05 number_semiring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oab__group__add,axiom,
% 19.04/19.05 ab_group_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Ozero__neq__one,axiom,
% 19.04/19.05 zero_neq_one(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Oordered__ring,axiom,
% 19.04/19.05 ordered_ring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Orderings_Opreorder,axiom,
% 19.04/19.05 preorder(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Orderings_Olinorder,axiom,
% 19.04/19.05 linorder(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Omonoid__mult,axiom,
% 19.04/19.05 monoid_mult(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Omonoid__add,axiom,
% 19.04/19.05 monoid_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Osemiring__1,axiom,
% 19.04/19.05 semiring_1(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Ogroup__add,axiom,
% 19.04/19.05 group_add(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Omult__zero,axiom,
% 19.04/19.05 mult_zero(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Orderings_Oorder,axiom,
% 19.04/19.05 order(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Int_Oring__char__0,axiom,
% 19.04/19.05 ring_char_0(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Int_Onumber__ring,axiom,
% 19.04/19.05 number_ring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Osemiring,axiom,
% 19.04/19.05 semiring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Orderings_Oord,axiom,
% 19.04/19.05 ord(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Oring__1,axiom,
% 19.04/19.05 ring_1(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Ominus,axiom,
% 19.04/19.05 minus(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Ozero,axiom,
% 19.04/19.05 zero(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Rings_Oring,axiom,
% 19.04/19.05 ring(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Int_Onumber,axiom,
% 19.04/19.05 number(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Int_Oint___Groups_Oone,axiom,
% 19.04/19.05 one(int) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduc,axiom,
% 19.04/19.05 semiri456707255roduct(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 19.04/19.05 ordere223160158up_add(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 19.04/19.05 ordere236663937imp_le(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Olinordered__comm__semiring__strict,axiom,
% 19.04/19.05 linord893533164strict(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Olinordered__semiring__strict,axiom,
% 19.04/19.05 linord20386208strict(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Oordered__ab__semigroup__add,axiom,
% 19.04/19.05 ordere779506340up_add(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Oordered__comm__monoid__add,axiom,
% 19.04/19.05 ordere216010020id_add(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Ocancel__ab__semigroup__add,axiom,
% 19.04/19.05 cancel146912293up_add(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Oordered__cancel__semiring,axiom,
% 19.04/19.05 ordere453448008miring(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Oordered__comm__semiring,axiom,
% 19.04/19.05 ordere1490568538miring(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Ocancel__semigroup__add,axiom,
% 19.04/19.05 cancel_semigroup_add(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Olinordered__semiring,axiom,
% 19.04/19.05 linordered_semiring(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Olinordered__semidom,axiom,
% 19.04/19.05 linordered_semidom(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Oab__semigroup__mult,axiom,
% 19.04/19.05 ab_semigroup_mult(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Ocomm__monoid__mult,axiom,
% 19.04/19.05 comm_monoid_mult(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Oab__semigroup__add,axiom,
% 19.04/19.05 ab_semigroup_add(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Oordered__semiring,axiom,
% 19.04/19.05 ordered_semiring(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Ono__zero__divisors,axiom,
% 19.04/19.05 no_zero_divisors(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Ocomm__monoid__add,axiom,
% 19.04/19.05 comm_monoid_add(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Ocomm__semiring__1,axiom,
% 19.04/19.05 comm_semiring_1(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Ocomm__semiring,axiom,
% 19.04/19.05 comm_semiring(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Nat_Osemiring__char__0,axiom,
% 19.04/19.05 semiring_char_0(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Int_Onumber__semiring,axiom,
% 19.04/19.05 number_semiring(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Ozero__neq__one,axiom,
% 19.04/19.05 zero_neq_one(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Orderings_Opreorder,axiom,
% 19.04/19.05 preorder(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Orderings_Olinorder,axiom,
% 19.04/19.05 linorder(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Omonoid__mult,axiom,
% 19.04/19.05 monoid_mult(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Omonoid__add,axiom,
% 19.04/19.05 monoid_add(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Osemiring__1,axiom,
% 19.04/19.05 semiring_1(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Omult__zero,axiom,
% 19.04/19.05 mult_zero(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Orderings_Oorder,axiom,
% 19.04/19.05 order(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Rings_Osemiring,axiom,
% 19.04/19.05 semiring(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Orderings_Oord,axiom,
% 19.04/19.05 ord(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Orderings_Obot,axiom,
% 19.04/19.05 bot(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Ominus,axiom,
% 19.04/19.05 minus(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Ozero,axiom,
% 19.04/19.05 zero(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Int_Onumber,axiom,
% 19.04/19.05 number(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_Nat_Onat___Groups_Oone,axiom,
% 19.04/19.05 one(nat) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_HOL_Obool___Orderings_Opreorder,axiom,
% 19.04/19.05 preorder(bool) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_HOL_Obool___Finite__Set_Ofinite,axiom,
% 19.04/19.05 finite_finite_1(bool) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_HOL_Obool___Orderings_Oorder,axiom,
% 19.04/19.05 order(bool) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_HOL_Obool___Orderings_Oord,axiom,
% 19.04/19.05 ord(bool) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_HOL_Obool___Orderings_Obot,axiom,
% 19.04/19.05 bot(bool) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_HOL_Obool___Groups_Ominus,axiom,
% 19.04/19.05 minus(bool) ).
% 19.04/19.05
% 19.04/19.05 fof(arity_sum___Finite__Set_Ofinite,axiom,
% 19.04/19.05 ! [T_2,T_1] :
% 19.04/19.05 ( ( finite_finite_1(T_1)
% 19.04/19.05 & finite_finite_1(T_2) )
% 19.04/19.05 => finite_finite_1(sum_sum(T_2,T_1)) ) ).
% 19.04/19.05
% 19.04/19.05 %----Helper facts (24)
% 19.04/19.05 fof(help_ti_idem,axiom,
% 19.04/19.05 ! [T,A] : ti(T,ti(T,A)) = ti(T,A) ).
% 19.04/19.05
% 19.04/19.05 fof(help_If_1_1_T,axiom,
% 19.04/19.05 ! [X_a,X,Y] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),hAPP(bool,fun(X_a,fun(X_a,X_a)),if(X_a),fTrue),X),Y) = ti(X_a,X) ).
% 19.04/19.05
% 19.04/19.05 fof(help_If_2_1_T,axiom,
% 19.04/19.05 ! [X_a,X,Y] : hAPP(X_a,X_a,hAPP(X_a,fun(X_a,X_a),hAPP(bool,fun(X_a,fun(X_a,X_a)),if(X_a),fFalse),X),Y) = ti(X_a,Y) ).
% 19.04/19.05
% 19.04/19.05 fof(help_If_3_1_T,axiom,
% 19.04/19.05 ! [P] :
% 19.04/19.05 ( ti(bool,P) = fTrue
% 19.04/19.05 | ti(bool,P) = fFalse ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fNot_1_1_U,axiom,
% 19.04/19.05 ! [P] :
% 19.04/19.05 ( ~ hBOOL(hAPP(bool,bool,fNot,P))
% 19.04/19.05 | ~ hBOOL(P) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fNot_2_1_U,axiom,
% 19.04/19.05 ! [P] :
% 19.04/19.05 ( hBOOL(P)
% 19.04/19.05 | hBOOL(hAPP(bool,bool,fNot,P)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_COMBB_1_1_U,axiom,
% 19.04/19.05 ! [X_a,X_c,X_b,P,Q,R] : hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_b,X_c),fun(fun(X_a,X_b),fun(X_a,X_c)),combb(X_b,X_c,X_a),P),Q),R) = hAPP(X_b,X_c,P,hAPP(X_a,X_b,Q,R)) ).
% 19.04/19.05
% 19.04/19.05 fof(help_COMBC_1_1_U,axiom,
% 19.04/19.05 ! [X_a,X_c,X_b,P,Q,R] : hAPP(X_a,X_c,hAPP(X_b,fun(X_a,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(X_b,fun(X_a,X_c)),combc(X_a,X_b,X_c),P),Q),R) = hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),Q) ).
% 19.04/19.05
% 19.04/19.05 fof(help_COMBI_1_1_U,axiom,
% 19.04/19.05 ! [X_a,P] : hAPP(X_a,X_a,combi(X_a),P) = ti(X_a,P) ).
% 19.04/19.05
% 19.04/19.05 fof(help_COMBK_1_1_U,axiom,
% 19.04/19.05 ! [X_b,X_a,P,Q] : hAPP(X_b,X_a,hAPP(X_a,fun(X_b,X_a),combk(X_a,X_b),P),Q) = ti(X_a,P) ).
% 19.04/19.05
% 19.04/19.05 fof(help_COMBS_1_1_U,axiom,
% 19.04/19.05 ! [X_a,X_c,X_b,P,Q,R] : hAPP(X_a,X_c,hAPP(fun(X_a,X_b),fun(X_a,X_c),hAPP(fun(X_a,fun(X_b,X_c)),fun(fun(X_a,X_b),fun(X_a,X_c)),combs(X_a,X_b,X_c),P),Q),R) = hAPP(X_b,X_c,hAPP(X_a,fun(X_b,X_c),P,R),hAPP(X_a,X_b,Q,R)) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fconj_1_1_U,axiom,
% 19.04/19.05 ! [Q,P] :
% 19.04/19.05 ( ~ hBOOL(P)
% 19.04/19.05 | ~ hBOOL(Q)
% 19.04/19.05 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fconj_2_1_U,axiom,
% 19.04/19.05 ! [P,Q] :
% 19.04/19.05 ( ~ hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))
% 19.04/19.05 | hBOOL(P) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fconj_3_1_U,axiom,
% 19.04/19.05 ! [P,Q] :
% 19.04/19.05 ( ~ hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,P),Q))
% 19.04/19.05 | hBOOL(Q) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fdisj_1_1_U,axiom,
% 19.04/19.05 ! [Q,P] :
% 19.04/19.05 ( ~ hBOOL(P)
% 19.04/19.05 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fdisj_2_1_U,axiom,
% 19.04/19.05 ! [P,Q] :
% 19.04/19.05 ( ~ hBOOL(Q)
% 19.04/19.05 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fdisj_3_1_U,axiom,
% 19.04/19.05 ! [P,Q] :
% 19.04/19.05 ( ~ hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,P),Q))
% 19.04/19.05 | hBOOL(P)
% 19.04/19.05 | hBOOL(Q) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fFalse_1_1_U,axiom,
% 19.04/19.05 ~ hBOOL(fFalse) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fFalse_1_1_T,axiom,
% 19.04/19.05 ! [P] :
% 19.04/19.05 ( ti(bool,P) = fTrue
% 19.04/19.05 | ti(bool,P) = fFalse ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fequal_1_1_T,axiom,
% 19.04/19.05 ! [X_a,X,Y] :
% 19.04/19.05 ( ~ hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fequal(X_a),X),Y))
% 19.04/19.05 | ti(X_a,X) = ti(X_a,Y) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fequal_2_1_T,axiom,
% 19.04/19.05 ! [X_a,X,Y] :
% 19.04/19.05 ( ti(X_a,X) != ti(X_a,Y)
% 19.04/19.05 | hBOOL(hAPP(X_a,bool,hAPP(X_a,fun(X_a,bool),fequal(X_a),X),Y)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fimplies_1_1_U,axiom,
% 19.04/19.05 ! [Q,P] :
% 19.04/19.05 ( hBOOL(P)
% 19.04/19.05 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fimplies_2_1_U,axiom,
% 19.04/19.05 ! [P,Q] :
% 19.04/19.05 ( ~ hBOOL(Q)
% 19.04/19.05 | hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q)) ) ).
% 19.04/19.05
% 19.04/19.05 fof(help_fimplies_3_1_U,axiom,
% 19.04/19.05 ! [P,Q] :
% 19.04/19.05 ( ~ hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,P),Q))
% 19.04/19.05 | ~ hBOOL(P)
% 19.04/19.05 | hBOOL(Q) ) ).
% 19.04/19.05
% 19.04/19.05 %----Conjectures (7)
% 19.04/19.05 fof(conj_0,hypothesis,
% 19.04/19.05 hBOOL(hAPP(fun(pname,bool),bool,finite_finite(pname),u)) ).
% 19.04/19.05
% 19.04/19.05 fof(conj_1,hypothesis,
% 19.04/19.05 hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ).
% 19.04/19.05
% 19.04/19.05 fof(conj_2,hypothesis,
% 19.04/19.05 hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,na)),hAPP(fun(x_a,bool),nat,finite_card(x_a),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))) ).
% 19.04/19.05
% 19.04/19.05 fof(conj_3,hypothesis,
% 19.04/19.05 hAPP(fun(x_a,bool),nat,finite_card(x_a),g) = hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(x_a,bool),nat,finite_card(x_a),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),hAPP(nat,nat,suc,na)) ).
% 19.04/19.05
% 19.04/19.05 fof(conj_4,hypothesis,
% 19.04/19.05 hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)) ).
% 19.04/19.05
% 19.04/19.05 fof(conj_5,hypothesis,
% 19.04/19.05 ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),g)) ).
% 19.04/19.05
% 19.04/19.05 fof(conj_6,conjecture,
% 19.04/19.05 hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ).
% 19.04/19.05
% 19.04/19.05 %------------------------------------------------------------------------------
% 19.04/19.05 %-------------------------------------------
% 19.04/19.05 % Proof found
% 19.04/19.05 % SZS status Theorem for theBenchmark
% 19.04/19.05 % SZS output start Proof
% 19.04/19.05 %ClaNum:2296(EqnAxiom:625)
% 19.04/19.05 %VarNum:22514(SingletonVarNum:3772)
% 19.04/19.05 %MaxLitNum:8
% 19.04/19.05 %MaxfuncDepth:9
% 19.04/19.05 %SharedTerms:396
% 19.04/19.05 %goalClause: 976
% 19.04/19.05 %singleGoalClaCount:1
% 19.04/19.05 [627]P1(a1)
% 19.04/19.05 [628]P2(a2)
% 19.04/19.05 [629]P2(a185)
% 19.04/19.05 [630]P2(a1)
% 19.04/19.05 [631]P31(a185)
% 19.04/19.05 [632]P31(a1)
% 19.04/19.05 [633]P32(a185)
% 19.04/19.05 [634]P32(a1)
% 19.04/19.05 [635]P3(a185)
% 19.04/19.05 [636]P3(a1)
% 19.04/19.05 [637]P4(a185)
% 19.04/19.05 [638]P4(a1)
% 19.04/19.05 [639]P7(a185)
% 19.04/19.05 [640]P7(a1)
% 19.04/19.05 [641]P33(a185)
% 19.04/19.05 [642]P33(a1)
% 19.04/19.05 [643]P41(a185)
% 19.04/19.05 [644]P41(a1)
% 19.04/19.05 [645]P34(a185)
% 19.04/19.05 [646]P34(a1)
% 19.04/19.05 [647]P35(a185)
% 19.04/19.05 [648]P35(a1)
% 19.04/19.05 [649]P58(a185)
% 19.04/19.05 [650]P58(a1)
% 19.04/19.05 [651]P36(a185)
% 19.04/19.05 [652]P36(a1)
% 19.04/19.05 [653]P42(a1)
% 19.04/19.05 [654]P59(a185)
% 19.04/19.05 [655]P59(a1)
% 19.04/19.05 [656]P8(a2)
% 19.04/19.05 [657]P8(a185)
% 19.04/19.05 [658]P39(a2)
% 19.04/19.05 [659]P39(a185)
% 19.04/19.05 [660]P39(a1)
% 19.04/19.05 [661]P10(a2)
% 19.04/19.05 [662]P40(a2)
% 19.04/19.05 [663]P40(a185)
% 19.04/19.05 [664]P40(a1)
% 19.04/19.05 [665]P43(a2)
% 19.04/19.05 [666]P43(a185)
% 19.04/19.05 [667]P43(a1)
% 19.04/19.05 [668]P16(a185)
% 19.04/19.05 [669]P16(a1)
% 19.04/19.05 [670]P44(a1)
% 19.04/19.05 [671]P5(a1)
% 19.04/19.05 [672]P9(a185)
% 19.04/19.05 [673]P9(a1)
% 19.04/19.05 [674]P45(a185)
% 19.04/19.05 [675]P45(a1)
% 19.04/19.05 [676]P49(a185)
% 19.04/19.05 [677]P49(a1)
% 19.04/19.05 [678]P17(a1)
% 19.04/19.05 [679]P46(a185)
% 19.04/19.05 [680]P46(a1)
% 19.04/19.05 [681]P26(a185)
% 19.04/19.05 [682]P26(a1)
% 19.04/19.05 [683]P27(a1)
% 19.04/19.05 [684]P61(a185)
% 19.04/19.05 [685]P61(a1)
% 19.04/19.05 [686]P11(a185)
% 19.04/19.05 [687]P11(a1)
% 19.04/19.05 [688]P18(a1)
% 19.04/19.05 [689]P47(a185)
% 19.04/19.05 [690]P47(a1)
% 19.04/19.05 [691]P12(a185)
% 19.04/19.05 [692]P12(a1)
% 19.04/19.05 [693]P55(a185)
% 19.04/19.05 [694]P55(a1)
% 19.04/19.05 [695]P23(a1)
% 19.04/19.05 [696]P56(a1)
% 19.04/19.05 [697]P13(a185)
% 19.04/19.05 [698]P13(a1)
% 19.04/19.05 [699]P14(a185)
% 19.04/19.05 [700]P14(a1)
% 19.04/19.05 [701]P37(a1)
% 19.04/19.05 [702]P57(a1)
% 19.04/19.05 [703]P54(a1)
% 19.04/19.05 [704]P50(a185)
% 19.04/19.05 [705]P50(a1)
% 19.04/19.05 [706]P51(a1)
% 19.04/19.05 [707]P52(a185)
% 19.04/19.05 [708]P52(a1)
% 19.04/19.05 [709]P48(a185)
% 19.04/19.05 [710]P48(a1)
% 19.04/19.05 [711]P24(a1)
% 19.04/19.05 [712]P29(a1)
% 19.04/19.05 [713]P19(a185)
% 19.04/19.05 [714]P19(a1)
% 19.04/19.05 [715]P25(a185)
% 19.04/19.05 [716]P25(a1)
% 19.04/19.05 [717]P30(a185)
% 19.04/19.05 [718]P30(a1)
% 19.04/19.05 [719]P20(a1)
% 19.04/19.05 [720]P38(a185)
% 19.04/19.05 [721]P38(a1)
% 19.04/19.05 [722]P60(a185)
% 19.04/19.05 [723]P60(a1)
% 19.04/19.05 [724]P53(a1)
% 19.04/19.05 [943]~P21(a13)
% 19.04/19.05 [626]E(f183(a1),a184)
% 19.04/19.05 [725]E(f6(a185),f183(a185))
% 19.04/19.05 [755]E(f12(a1,a1,a3,a184),f12(a1,a1,a210,a184))
% 19.04/19.05 [944]~E(f195(a1),f183(a1))
% 19.04/19.05 [726]E(f12(a201,a201,f7(a201),a202),a202)
% 19.04/19.05 [727]E(f12(a2,a2,f7(a2),a13),a13)
% 19.04/19.05 [728]E(f12(a2,a2,f7(a2),a164),a164)
% 19.04/19.05 [729]E(f12(a185,a185,f7(a185),a186),a186)
% 19.04/19.05 [730]E(f12(a1,a1,f7(a1),a184),a184)
% 19.04/19.05 [732]E(f12(a185,a185,a204,f183(a185)),f195(a185))
% 19.04/19.05 [734]E(f12(a1,a1,f191(a1),a184),f183(a1))
% 19.04/19.05 [735]E(f12(a1,a185,f191(a185),a184),f183(a185))
% 19.04/19.05 [738]E(f12(a185,a1,f205(a1),f195(a185)),f195(a1))
% 19.04/19.05 [739]E(f12(a185,a1,f205(a1),f183(a185)),f183(a1))
% 19.04/19.05 [754]E(f12(f166(f196(a8),a8),f166(f196(a8),a8),f7(f166(f196(a8),a8)),f211(a8)),f211(a8))
% 19.04/19.05 [760]P21(f12(f166(a201,a2),a2,f175(a201),a209))
% 19.04/19.05 [770]E(f12(a1,a1,f191(a1),f12(a1,a1,a3,a184)),f195(a1))
% 19.04/19.05 [771]E(f12(a1,a185,f191(a185),f12(a1,a1,a3,a184)),f195(a185))
% 19.04/19.05 [794]E(f12(a1,a185,f191(a185),f12(a1,a1,a3,a184)),f12(a185,a185,a204,f183(a185)))
% 19.04/19.05 [828]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),f195(a1)))
% 19.04/19.05 [829]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f195(a1)))
% 19.04/19.05 [924]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(f166(a217,a2),a185,f167(a217),f12(f166(a201,a2),f166(a217,a2),f12(f166(a201,a217),f166(f166(a201,a2),f166(a217,a2)),f181(a201,a217),a187),a209))),f12(a185,a185,a204,a186)),f12(f166(a217,a2),a185,f167(a217),a179))
% 19.04/19.05 [955]~P21(f12(a1,a2,a192,f195(a1)))
% 19.04/19.05 [956]~P21(f12(a1,a2,a192,f183(a1)))
% 19.04/19.05 [742]E(f12(f166(a201,a2),f166(a201,a2),f7(f166(a201,a2)),a209),a209)
% 19.04/19.05 [743]E(f12(f166(a201,a217),f166(a201,a217),f7(f166(a201,a217)),a187),a187)
% 19.04/19.05 [744]E(f12(f166(a8,a2),f166(a8,a2),f7(f166(a8,a2)),a218),a218)
% 19.04/19.05 [745]E(f12(f166(a8,a217),f166(a8,a217),f7(f166(a8,a217)),a188),a188)
% 19.04/19.05 [746]E(f12(f166(a2,a2),f166(a2,a2),f7(f166(a2,a2)),a165),a165)
% 19.04/19.05 [747]E(f12(f166(a185,a185),f166(a185,a185),f7(f166(a185,a185)),a204),a204)
% 19.04/19.05 [748]E(f12(f166(a1,a2),f166(a1,a2),f7(f166(a1,a2)),a192),a192)
% 19.04/19.05 [749]E(f12(f166(a1,a1),f166(a1,a1),f7(f166(a1,a1)),a3),a3)
% 19.04/19.05 [750]E(f12(f166(a1,a1),f166(a1,a1),f7(f166(a1,a1)),a210),a210)
% 19.04/19.05 [751]E(f12(f166(a217,a2),f166(a217,a2),f7(f166(a217,a2)),a179),a179)
% 19.04/19.05 [773]E(f12(a185,a1,f205(a1),f12(a185,a185,a204,f183(a185))),f195(a1))
% 19.04/19.05 [834]P21(f12(f166(a201,a2),a2,f12(a201,f166(f166(a201,a2),a2),f189(a201),a202),a209))
% 19.04/19.05 [959]~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),a184)))
% 19.04/19.05 [961]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),a184),a184))
% 19.04/19.05 [972]~P21(f12(f166(a217,a2),a2,f12(a217,f166(f166(a217,a2),a2),f189(a217),f12(a201,a217,a187,a202)),a179))
% 19.04/19.05 [753]E(f12(f166(a201,f196(a8)),f166(a201,f196(a8)),f7(f166(a201,f196(a8))),a5),a5)
% 19.04/19.05 [756]E(f12(f166(a2,f166(a2,a2)),f166(a2,f166(a2,a2)),f7(f166(a2,f166(a2,a2))),a168),a168)
% 19.04/19.05 [757]E(f12(f166(a2,f166(a2,a2)),f166(a2,f166(a2,a2)),f7(f166(a2,f166(a2,a2))),a169),a169)
% 19.04/19.05 [758]E(f12(f166(a2,f166(a2,a2)),f166(a2,f166(a2,a2)),f7(f166(a2,f166(a2,a2))),a170),a170)
% 19.04/19.05 [759]E(f12(f166(a1,f166(a1,a1)),f166(a1,f166(a1,a1)),f7(f166(a1,f166(a1,a1))),a194),a194)
% 19.04/19.05 [859]E(f12(a185,a185,a204,f12(a185,a185,a204,f12(a185,a185,a204,f183(a185)))),f12(a1,a185,f191(a185),f12(a1,a1,a3,f12(a1,a1,a3,a184))))
% 19.04/19.05 [887]E(f12(a185,a1,f205(a1),f12(a1,a185,f191(a185),f12(a1,a1,a3,f12(a1,a1,a3,a184)))),f12(a1,a1,f191(a1),f12(a1,a1,a3,f12(a1,a1,a3,a184))))
% 19.04/19.05 [900]P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),f199(f166(a217,a2)),a179),f12(f166(a201,a2),f166(a217,a2),f12(f166(a201,a217),f166(f166(a201,a2),f166(a217,a2)),f181(a201,a217),a187),a209)))
% 19.04/19.05 [911]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a1,a1,f191(a1),f12(a1,a1,a3,f12(a1,a1,a3,a184)))))
% 19.04/19.05 [976]~P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),f199(f166(a217,a2)),f12(f166(a217,a2),f166(a217,a2),f12(a217,f166(f166(a217,a2),f166(a217,a2)),f182(a217),f12(a201,a217,a187,a202)),a179)),f12(f166(a201,a2),f166(a217,a2),f12(f166(a201,a217),f166(f166(a201,a2),f166(a217,a2)),f181(a201,a217),a187),a209)))
% 19.04/19.05 [801]E(f12(f166(f166(a217,a2),f166(f166(a217,a2),a2)),f166(f166(a217,a2),f166(f166(a217,a2),a2)),f7(f166(f166(a217,a2),f166(f166(a217,a2),a2))),a198),a198)
% 19.04/19.05 [930]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,a186)),f12(f166(a217,a2),a185,f167(a217),f12(f166(a201,a2),f166(a217,a2),f12(f166(a201,a217),f166(f166(a201,a2),f166(a217,a2)),f181(a201,a217),a187),a209))))
% 19.04/19.05 [946]~E(f12(a1,a1,a3,x9461),a184)
% 19.04/19.05 [948]~E(f12(a185,a185,a204,x9481),x9481)
% 19.04/19.05 [954]~E(f12(a185,a185,a204,x9541),f183(a185))
% 19.04/19.05 [731]E(f12(a1,a1,f191(a1),x7311),x7311)
% 19.04/19.05 [740]E(f12(x7401,x7401,f7(x7401),f208(x7401)),f208(x7401))
% 19.04/19.05 [752]E(f12(f166(x7521,x7521),f166(x7521,x7521),f7(f166(x7521,x7521)),f7(x7521)),f7(x7521))
% 19.04/19.05 [761]E(f12(f166(f166(x7611,a2),a2),f166(f166(x7611,a2),a2),f7(f166(f166(x7611,a2),a2)),f175(x7611)),f175(x7611))
% 19.04/19.05 [762]E(f12(f166(f166(x7621,a2),a185),f166(f166(x7621,a2),a185),f7(f166(f166(x7621,a2),a185)),f167(x7621)),f167(x7621))
% 19.04/19.05 [763]E(f12(f166(x7631,f166(x7631,a2)),f166(x7631,f166(x7631,a2)),f7(f166(x7631,f166(x7631,a2))),f171(x7631)),f171(x7631))
% 19.04/19.05 [764]E(f12(f166(f166(x7641,a2),x7641),f166(f166(x7641,a2),x7641),f7(f166(f166(x7641,a2),x7641)),f212(x7641)),f212(x7641))
% 19.04/19.05 [765]E(f12(f166(f166(x7651,a2),x7651),f166(f166(x7651,a2),x7651),f7(f166(f166(x7651,a2),x7651)),f215(x7651)),f215(x7651))
% 19.04/19.05 [772]E(f12(f166(f166(x7721,a2),f166(x7721,a2)),f166(f166(x7721,a2),f166(x7721,a2)),f7(f166(f166(x7721,a2),f166(x7721,a2))),f9(x7721)),f9(x7721))
% 19.04/19.05 [779]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x7791),f183(a185)),x7791)
% 19.04/19.05 [780]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x7801),f183(a185)),x7801)
% 19.04/19.05 [781]E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x7811),f195(a185)),x7811)
% 19.04/19.05 [782]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x7821),f183(a1)),x7821)
% 19.04/19.05 [783]E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x7831),f195(a1)),x7831)
% 19.04/19.05 [784]E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x7841),f183(a185)),f183(a185))
% 19.04/19.05 [792]E(f12(f166(x7921,f166(f166(x7921,a2),a2)),f166(x7921,f166(f166(x7921,a2),a2)),f7(f166(x7921,f166(f166(x7921,a2),a2))),f189(x7921)),f189(x7921))
% 19.04/19.05 [793]E(f12(f166(x7931,f166(f166(x7931,a2),x7931)),f166(x7931,f166(f166(x7931,a2),x7931)),f7(f166(x7931,f166(f166(x7931,a2),x7931))),f197(x7931)),f197(x7931))
% 19.04/19.05 [795]E(f12(f166(a2,f166(x7951,f166(x7951,x7951))),f166(a2,f166(x7951,f166(x7951,x7951))),f7(f166(a2,f166(x7951,f166(x7951,x7951)))),f180(x7951)),f180(x7951))
% 19.04/19.05 [802]E(f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x8021)),f12(a185,f166(a185,a2),f200(a185),x8021))
% 19.04/19.05 [803]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8031),f195(a185)),f12(a185,a185,a204,x8031))
% 19.04/19.05 [804]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8041),f195(a1)),f12(a1,a1,a210,x8041))
% 19.04/19.05 [809]P21(f12(f166(x8091,f166(f166(x8091,a2),f166(x8091,a2))),a2,f176(x8091,f166(x8091,a2)),f182(x8091)))
% 19.04/19.05 [814]E(f12(f166(x8141,f166(f166(x8141,a2),f166(x8141,a2))),f166(x8141,f166(f166(x8141,a2),f166(x8141,a2))),f7(f166(x8141,f166(f166(x8141,a2),f166(x8141,a2)))),f182(x8141)),f182(x8141))
% 19.04/19.05 [815]E(f12(f166(x8151,f166(f166(a185,x8151),f166(a185,x8151))),f166(x8151,f166(f166(a185,x8151),f166(a185,x8151))),f7(f166(x8151,f166(f166(a185,x8151),f166(a185,x8151)))),f193(x8151)),f193(x8151))
% 19.04/19.05 [831]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,a204,x8311)),f195(a185)),x8311)
% 19.04/19.05 [841]E(f12(f166(f166(x8411,f166(x8411,x8411)),f166(f166(f166(x8411,a2),x8411),a2)),f166(f166(x8411,f166(x8411,x8411)),f166(f166(f166(x8411,a2),x8411),a2)),f7(f166(f166(x8411,f166(x8411,x8411)),f166(f166(f166(x8411,a2),x8411),a2))),f177(x8411)),f177(x8411))
% 19.04/19.05 [842]E(f12(f166(f166(x8421,f166(x8421,x8421)),f166(f166(f166(x8421,a2),x8421),a2)),f166(f166(x8421,f166(x8421,x8421)),f166(f166(f166(x8421,a2),x8421),a2)),f7(f166(f166(x8421,f166(x8421,x8421)),f166(f166(f166(x8421,a2),x8421),a2))),f172(x8421)),f172(x8421))
% 19.04/19.05 [847]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x8471),f12(a185,a185,a204,x8471)))
% 19.04/19.05 [848]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,a204,x8481)))
% 19.04/19.05 [966]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x9661),f183(a185)))
% 19.04/19.05 [971]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a185,a1,f205(a1),x9711)),f183(a1)))
% 19.04/19.05 [741]E(f12(f166(x7411,a2),a185,f167(x7411),f6(f166(x7411,a2))),f183(a185))
% 19.04/19.05 [768]P21(f12(f166(x7681,a2),a2,f175(x7681),f6(f166(x7681,a2))))
% 19.04/19.05 [774]E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),a184),x7741),a184)
% 19.04/19.05 [775]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),a184),x7751),x7751)
% 19.04/19.05 [776]E(f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x7761),a184),x7761)
% 19.04/19.05 [777]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x7771),a184),x7771)
% 19.04/19.05 [778]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x7781),x7781),f183(a185))
% 19.04/19.05 [785]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f183(a185)),x7851),x7851)
% 19.04/19.05 [786]E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f195(a185)),x7861),x7861)
% 19.04/19.05 [787]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f183(a1)),x7871),x7871)
% 19.04/19.05 [788]E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f195(a1)),x7881),x7881)
% 19.04/19.05 [789]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f183(a185)),x7891),f183(a185))
% 19.04/19.05 [790]E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f183(a185)),x7901),f183(a185))
% 19.04/19.05 [791]E(f12(f166(x7911,a2),f166(x7911,a2),f9(x7911),f12(a2,f166(x7911,a2),f14(a2,x7911),a13)),f6(f166(x7911,a2)))
% 19.04/19.05 [796]E(f12(a1,a1,f4(a1),f12(a185,a1,f205(a1),x7961)),f12(a185,a1,f205(a1),x7961))
% 19.04/19.05 [805]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f195(a185)),x8051),f12(a185,a185,a204,x8051))
% 19.04/19.05 [823]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x8231),x8231))
% 19.04/19.05 [824]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x8241),x8241))
% 19.04/19.05 [827]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f183(a185)),x8271))
% 19.04/19.05 [836]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f195(a1)),f12(a185,a1,f205(a1),x8361)),f12(a185,a1,f205(a1),f12(a185,a185,a204,x8361)))
% 19.04/19.05 [839]E(f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,f205(a1),f16(x8391))),f12(a185,a1,f205(a1),f54(x8391))),x8391)
% 19.04/19.05 [850]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a185,a1,f205(a1),x8501)))
% 19.04/19.05 [960]~P21(f12(a1,a2,a192,f12(a185,a1,f205(a1),x9601)))
% 19.04/19.05 [963]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x9631),x9631))
% 19.04/19.05 [970]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x9701)),x9701))
% 19.04/19.05 [852]E(f12(f166(a1,a2),a185,f167(a1),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x8521)),f12(f166(a185,a2),a185,f167(a185),x8521))
% 19.04/19.05 [884]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x8841),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8841),x8841)))
% 19.04/19.05 [877]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f195(a1)),x8771)),x8771),f12(a1,a1,a3,x8771))
% 19.04/19.05 [888]E(f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x8881))),x8881)
% 19.04/19.05 [889]E(f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f199(a185)),x8891))),f12(a185,a185,a204,x8891))
% 19.04/19.05 [917]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),f12(a1,a1,a3,f12(a1,a1,a3,a184)))),x9171),f12(a185,a185,a204,f12(a185,a185,a204,f12(a185,a185,a204,x9171))))
% 19.04/19.05 [923]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x9231),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9231),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9231),x9231))))
% 19.04/19.05 [926]P21(f12(f166(a185,a2),a2,f175(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x9261))))
% 19.04/19.05 [927]P21(f12(f166(a185,a2),a2,f175(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f199(a185)),x9271))))
% 19.04/19.05 [938]P21(f12(f166(x9381,f166(f166(x9381,a2),f166(x9381,a2))),a2,f176(x9381,f166(x9381,a2)),f12(f166(x9381,f166(x9381,a2)),f166(x9381,f166(f166(x9381,a2),f166(x9381,a2))),f12(f166(f166(x9381,a2),f166(f166(x9381,a2),f166(x9381,a2))),f166(f166(x9381,f166(x9381,a2)),f166(x9381,f166(f166(x9381,a2),f166(x9381,a2)))),f10(f166(x9381,a2),f166(f166(x9381,a2),f166(x9381,a2)),x9381),f12(f166(f166(x9381,a2),f166(f166(x9381,a2),f166(x9381,a2))),f166(f166(x9381,a2),f166(f166(x9381,a2),f166(x9381,a2))),f11(f166(x9381,a2),f166(x9381,a2),f166(x9381,a2)),f190(f166(x9381,a2)))),f12(f166(x9381,a2),f166(x9381,f166(x9381,a2)),f12(f166(x9381,f166(f166(x9381,a2),f166(x9381,a2))),f166(f166(x9381,a2),f166(x9381,f166(x9381,a2))),f11(x9381,f166(x9381,a2),f166(x9381,a2)),f182(x9381)),f6(f166(x9381,a2))))))
% 19.04/19.05 [973]~E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f195(a1)),x9731)),x9731),f183(a1))
% 19.04/19.05 [934]E(f12(f166(a1,a2),f166(a1,a2),f9(a1),f12(f166(a1,a2),f166(a1,a2),f12(f166(a1,f166(a2,a2)),f166(f166(a1,a2),f166(a1,a2)),f15(a1,a2,a2),f12(f166(a1,a2),f166(a1,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a1,a2),f166(a1,f166(a2,a2))),f10(a2,f166(a2,a2),a1),a168),f12(a1,f166(a1,a2),f199(a1),f183(a1)))),x9341)),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(f166(a185,a1),f166(a185,a2),f12(f166(a1,a2),f166(f166(a185,a1),f166(a185,a2)),f10(a1,a2,a185),x9341),f205(a1)))))
% 19.04/19.05 [766]E(f12(f166(x7661,f166(x7662,x7661)),f166(x7661,f166(x7662,x7661)),f7(f166(x7661,f166(x7662,x7661))),f14(x7661,x7662)),f14(x7661,x7662))
% 19.04/19.05 [799]E(f12(f166(f166(x7991,f166(x7992,x7992)),a2),f166(f166(x7991,f166(x7992,x7992)),a2),f7(f166(f166(x7991,f166(x7992,x7992)),a2)),f176(x7991,x7992)),f176(x7991,x7992))
% 19.04/19.05 [817]E(f12(f166(f166(x8171,x8172),f166(f166(x8171,a2),f166(x8172,a2))),f166(f166(x8171,x8172),f166(f166(x8171,a2),f166(x8172,a2))),f7(f166(f166(x8171,x8172),f166(f166(x8171,a2),f166(x8172,a2)))),f181(x8171,x8172)),f181(x8171,x8172))
% 19.04/19.05 [844]E(f12(f166(f166(x8441,a2),f166(f166(x8442,a2),f166(f213(x8441,x8442),a2))),f166(f166(x8441,a2),f166(f166(x8442,a2),f166(f213(x8441,x8442),a2))),f7(f166(f166(x8441,a2),f166(f166(x8442,a2),f166(f213(x8441,x8442),a2)))),f214(x8441,x8442)),f214(x8441,x8442))
% 19.04/19.05 [878]E(f12(f166(f166(x8781,f166(x8781,x8781)),f166(f166(x8782,x8781),f166(x8781,f166(f166(x8782,a2),x8781)))),f166(f166(x8781,f166(x8781,x8781)),f166(f166(x8782,x8781),f166(x8781,f166(f166(x8782,a2),x8781)))),f7(f166(f166(x8781,f166(x8781,x8781)),f166(f166(x8782,x8781),f166(x8781,f166(f166(x8782,a2),x8781))))),f178(x8781,x8782)),f178(x8781,x8782))
% 19.04/19.05 [909]E(f12(f166(f166(x9091,f166(x9091,x9091)),f166(x9091,f166(f166(x9092,x9091),f166(f166(f166(x9092,a2),x9091),a2)))),f166(f166(x9091,f166(x9091,x9091)),f166(x9091,f166(f166(x9092,x9091),f166(f166(f166(x9092,a2),x9091),a2)))),f7(f166(f166(x9091,f166(x9091,x9091)),f166(x9091,f166(f166(x9092,x9091),f166(f166(f166(x9092,a2),x9091),a2))))),f173(x9091,x9092)),f173(x9091,x9092))
% 19.04/19.06 [910]E(f12(f166(f166(x9101,f166(x9101,x9101)),f166(x9101,f166(f166(x9102,x9101),f166(f166(f166(x9102,a2),x9101),a2)))),f166(f166(x9101,f166(x9101,x9101)),f166(x9101,f166(f166(x9102,x9101),f166(f166(f166(x9102,a2),x9101),a2)))),f7(f166(f166(x9101,f166(x9101,x9101)),f166(x9101,f166(f166(x9102,x9101),f166(f166(f166(x9102,a2),x9101),a2))))),f174(x9101,x9102)),f174(x9101,x9102))
% 19.04/19.06 [915]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x9151),x9152)),f12(a185,a185,a204,x9151)))
% 19.04/19.06 [767]E(f12(f166(x7671,a2),f166(x7671,a2),f7(f166(x7671,a2)),x7672),f12(f166(x7671,a2),f166(x7671,a2),f9(x7671),x7672))
% 19.04/19.06 [806]E(f12(f166(x8061,a2),x8061,f212(x8061),f12(x8061,f166(x8061,a2),f171(x8061),x8062)),f12(x8061,x8061,f7(x8061),x8062))
% 19.04/19.06 [816]E(f12(f166(x8161,a2),f166(x8161,a2),f12(f166(x8161,x8161),f166(f166(x8161,a2),f166(x8161,a2)),f181(x8161,x8161),f7(x8161)),x8162),f12(f166(x8161,a2),f166(x8161,a2),f7(f166(x8161,a2)),x8162))
% 19.04/19.06 [819]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8191),x8192),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8192),x8191))
% 19.04/19.06 [820]E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8201),x8202),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8202),x8201))
% 19.04/19.06 [821]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8211),x8212),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8212),x8211))
% 19.04/19.06 [822]E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x8221),x8222),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x8222),x8221))
% 19.04/19.06 [825]E(f12(f166(x8251,a2),f166(x8251,a2),f12(f166(x8251,a2),f166(f166(x8251,a2),f166(x8251,a2)),f190(f166(x8251,a2)),x8252),f6(f166(x8251,a2))),f12(f166(x8251,a2),f166(x8251,a2),f7(f166(x8251,a2)),x8252))
% 19.04/19.06 [835]E(f12(f166(x8351,a2),f166(x8351,a2),f12(x8351,f166(f166(x8351,a2),f166(x8351,a2)),f182(x8351),x8352),f6(f166(x8351,a2))),f12(f166(x8351,a2),f166(x8351,a2),f9(x8351),f12(x8351,f166(x8351,a2),f171(x8351),x8352)))
% 19.04/19.06 [854]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,a204,x8541)),x8542),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8541),f12(a185,a185,a204,x8542)))
% 19.04/19.06 [855]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,a204,x8551)),f12(a185,a185,a204,x8552)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8551),x8552))
% 19.04/19.06 [968]~P21(f12(f166(x9681,a2),a2,f12(x9681,f166(f166(x9681,a2),a2),f189(x9681),x9682),f6(f166(x9681,a2))))
% 19.04/19.06 [969]~P21(f12(f166(x9691,a2),a2,f12(f166(x9691,a2),f166(f166(x9691,a2),a2),f200(f166(x9691,a2)),x9692),f6(f166(x9691,a2))))
% 19.04/19.06 [810]E(f12(f166(x8101,a2),f166(x8101,a2),f12(f166(x8101,a2),f166(f166(x8101,a2),f166(x8101,a2)),f190(f166(x8101,a2)),x8102),x8102),f6(f166(x8101,a2)))
% 19.04/19.06 [813]E(f12(f166(x8131,a2),f166(x8131,a2),f12(f166(x8131,a2),f166(f166(x8131,a2),f166(x8131,a2)),f190(f166(x8131,a2)),f6(f166(x8131,a2))),x8132),f6(f166(x8131,a2)))
% 19.04/19.06 [837]P21(f12(f166(x8371,a2),a2,f12(f166(x8371,a2),f166(f166(x8371,a2),a2),f199(f166(x8371,a2)),x8372),x8372))
% 19.04/19.06 [840]P21(f12(f166(x8401,a2),a2,f12(f166(x8401,a2),f166(f166(x8401,a2),a2),f199(f166(x8401,a2)),f6(f166(x8401,a2))),x8402))
% 19.04/19.06 [843]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8431),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8431),x8432)),f183(a185))
% 19.04/19.06 [853]E(f12(f166(x8531,a2),x8531,f215(x8531),f12(f166(x8531,a2),f166(x8531,a2),f12(x8531,f166(f166(x8531,a2),f166(x8531,a2)),f182(x8531),x8532),f6(f166(x8531,a2)))),f12(x8531,x8531,f7(x8531),x8532))
% 19.04/19.06 [857]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8571),f12(a185,a185,a204,x8572)),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8571),x8572)))
% 19.04/19.06 [858]E(f12(f166(x8581,a2),x8581,f212(x8581),f12(x8581,f166(x8581,a2),f12(f166(x8581,f166(x8581,a2)),f166(x8581,f166(x8581,a2)),f11(x8581,x8581,a2),f171(x8581)),x8582)),f12(x8581,x8581,f7(x8581),x8582))
% 19.04/19.06 [860]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,a204,x8601)),x8602),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8601),x8602)))
% 19.04/19.06 [861]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8611),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8611),x8612)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8611),f12(a185,a185,a204,x8612)))
% 19.04/19.06 [866]E(f12(f166(x8661,a2),f166(x8661,a2),f9(x8661),f12(x8661,f166(x8661,a2),f12(f166(x8661,f166(x8661,a2)),f166(x8661,f166(x8661,a2)),f11(x8661,x8661,a2),f171(x8661)),x8662)),f12(f166(x8661,a2),f166(x8661,a2),f12(x8661,f166(f166(x8661,a2),f166(x8661,a2)),f182(x8661),x8662),f6(f166(x8661,a2))))
% 19.04/19.06 [867]E(f12(a1,a1,f12(a1,f166(a1,a1),a194,f12(a185,a1,f205(a1),x8671)),f12(a185,a1,f205(a1),x8672)),f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8671),x8672)))
% 19.04/19.06 [870]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a185,a1,f205(a1),x8701)),f12(a185,a1,f205(a1),x8702)),f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8701),x8702)))
% 19.04/19.06 [871]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f191(a1),x8711)),f12(a1,a1,f191(a1),x8712)),f12(a1,a1,f191(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8711),x8712)))
% 19.04/19.06 [873]E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a185,a1,f205(a1),x8731)),f12(a185,a1,f205(a1),x8732)),f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8731),x8732)))
% 19.04/19.06 [874]E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a1,a1,f191(a1),x8741)),f12(a1,a1,f191(a1),x8742)),f12(a1,a1,f191(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x8741),x8742)))
% 19.04/19.06 [875]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8751),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8752),x8751)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,a204,x8752)),x8751))
% 19.04/19.06 [882]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x8821),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8822),x8821)))
% 19.04/19.06 [883]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x8831),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8831),x8832)))
% 19.04/19.06 [885]E(f12(a185,a185,f12(f166(a185,a185),f166(a185,a185),f12(a185,f166(f166(a185,a185),f166(a185,a185)),f193(a185),f183(a185)),f7(a185)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8851),x8852)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8851),f12(a185,a185,a204,x8852)))
% 19.04/19.06 [886]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8861),f195(a185))),x8862),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8861),f12(a185,a185,a204,x8862)))
% 19.04/19.06 [864]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8641),x8642)),x8642),x8641)
% 19.04/19.06 [865]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8651),x8652)),x8651),x8652)
% 19.04/19.06 [908]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x9081),x9082)),x9081))
% 19.04/19.06 [913]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x9131),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x9132),x9131))))
% 19.04/19.06 [914]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x9141),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x9141),x9142))))
% 19.04/19.06 [932]E(f12(f166(x9321,a2),x9321,f212(x9321),f12(f166(x9321,f166(x9321,a2)),f166(x9321,a2),f12(f166(f166(x9321,a2),a2),f166(f166(x9321,f166(x9321,a2)),f166(x9321,a2)),f10(f166(x9321,a2),a2,x9321),f12(f166(x9321,a2),f166(f166(x9321,a2),a2),f171(f166(x9321,a2)),x9322)),f12(f166(x9321,a2),f166(x9321,f166(x9321,a2)),f12(f166(x9321,f166(f166(x9321,a2),f166(x9321,a2))),f166(f166(x9321,a2),f166(x9321,f166(x9321,a2))),f11(x9321,f166(x9321,a2),f166(x9321,a2)),f182(x9321)),f6(f166(x9321,a2))))),f12(f166(x9321,a2),x9321,f215(x9321),x9322))
% 19.04/19.06 [974]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x9741),x9742)),x9742))
% 19.04/19.06 [975]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x9751),x9752)),x9751))
% 19.04/19.06 [942]P21(f12(f166(a185,a2),a2,f175(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(a2,a2)),f166(f166(a185,a2),f166(a185,a2)),f15(a185,a2,a2),f12(f166(a185,a2),f166(a185,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a185,a2),f166(a185,f166(a2,a2))),f10(a2,f166(a2,a2),a185),a168),x9421)),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x9422)))))
% 19.04/19.06 [832]E(f12(f166(f166(x8321,x8322),f166(f166(x8323,x8321),f166(x8323,x8322))),f166(f166(x8321,x8322),f166(f166(x8323,x8321),f166(x8323,x8322))),f7(f166(f166(x8321,x8322),f166(f166(x8323,x8321),f166(x8323,x8322)))),f10(x8321,x8322,x8323)),f10(x8321,x8322,x8323))
% 19.04/19.06 [833]E(f12(f166(f166(x8331,f166(x8332,x8333)),f166(x8332,f166(x8331,x8333))),f166(f166(x8331,f166(x8332,x8333)),f166(x8332,f166(x8331,x8333))),f7(f166(f166(x8331,f166(x8332,x8333)),f166(x8332,f166(x8331,x8333)))),f11(x8331,x8332,x8333)),f11(x8331,x8332,x8333))
% 19.04/19.06 [838]E(f12(f166(f166(x8381,f166(x8382,x8383)),f166(f166(x8381,x8382),f166(x8381,x8383))),f166(f166(x8381,f166(x8382,x8383)),f166(f166(x8381,x8382),f166(x8381,x8383))),f7(f166(f166(x8381,f166(x8382,x8383)),f166(f166(x8381,x8382),f166(x8381,x8383)))),f15(x8381,x8382,x8383)),f15(x8381,x8382,x8383))
% 19.04/19.06 [851]E(f12(a185,x8511,f12(f166(a185,x8511),f166(a185,x8511),f12(x8511,f166(f166(a185,x8511),f166(a185,x8511)),f193(x8511),x8512),x8513),f183(a185)),f12(x8511,x8511,f7(x8511),x8512))
% 19.04/19.06 [811]E(f12(f166(x8111,a2),f166(x8112,a2),f12(f166(x8111,x8112),f166(f166(x8111,a2),f166(x8112,a2)),f181(x8111,x8112),x8113),f6(f166(x8111,a2))),f6(f166(x8112,a2)))
% 19.04/19.06 [958]~E(f12(f166(x9581,a2),f166(x9581,a2),f12(x9581,f166(f166(x9581,a2),f166(x9581,a2)),f182(x9581),x9582),x9583),f6(f166(x9581,a2)))
% 19.04/19.06 [845]E(f12(x8451,x8451,f12(x8451,f166(x8451,x8451),f12(a2,f166(x8451,f166(x8451,x8451)),f180(x8451),a13),x8452),x8453),f12(x8451,x8451,f7(x8451),x8453))
% 19.04/19.06 [846]E(f12(x8461,x8461,f12(x8461,f166(x8461,x8461),f12(a2,f166(x8461,f166(x8461,x8461)),f180(x8461),a164),x8462),x8463),f12(x8461,x8461,f7(x8461),x8462))
% 19.04/19.06 [876]E(f12(f166(x8761,a2),f166(x8761,a2),f12(x8761,f166(f166(x8761,a2),f166(x8761,a2)),f182(x8761),x8762),f12(f166(x8761,a2),f166(x8761,a2),f12(x8761,f166(f166(x8761,a2),f166(x8761,a2)),f182(x8761),x8762),x8763)),f12(f166(x8761,a2),f166(x8761,a2),f12(x8761,f166(f166(x8761,a2),f166(x8761,a2)),f182(x8761),x8762),x8763))
% 19.04/19.06 [880]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8801),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8802),x8803)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8802),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8801),x8803)))
% 19.04/19.06 [881]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8811),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8812),x8813)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8812),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8811),x8813)))
% 19.04/19.06 [890]P21(f12(f166(x8901,a2),a2,f12(x8901,f166(f166(x8901,a2),a2),f189(x8901),x8902),f12(f166(x8901,a2),f166(x8901,a2),f12(x8901,f166(f166(x8901,a2),f166(x8901,a2)),f182(x8901),x8902),x8903)))
% 19.04/19.06 [892]P21(f12(f166(x8921,a2),a2,f12(f166(x8921,a2),f166(f166(x8921,a2),a2),f199(f166(x8921,a2)),x8922),f12(f166(x8921,a2),f166(x8921,a2),f12(x8921,f166(f166(x8921,a2),f166(x8921,a2)),f182(x8921),x8923),x8922)))
% 19.04/19.06 [898]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8981),x8982)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8983),x8982)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8981),x8983))
% 19.04/19.06 [899]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8991),x8992)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8991),x8993)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8992),x8993))
% 19.04/19.06 [904]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9041),x9042)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9041),x9043)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9041),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x9042),x9043)))
% 19.04/19.06 [905]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9051),x9052)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9051),x9053)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9051),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x9052),x9053)))
% 19.04/19.06 [906]E(f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9061),x9062)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9061),x9063)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9061),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x9062),x9063)))
% 19.04/19.06 [907]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9071),x9072)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9071),x9073)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9071),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x9072),x9073)))
% 19.04/19.06 [893]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8931),x8932)),x8933),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x8931),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8932),x8933)))
% 19.04/19.06 [894]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8941),x8942)),x8943),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8941),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x8942),x8943)))
% 19.04/19.06 [895]E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8951),x8952)),x8953),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8951),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x8952),x8953)))
% 19.04/19.06 [896]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8961),x8962)),x8963),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8961),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x8962),x8963)))
% 19.04/19.06 [897]E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x8971),x8972)),x8973),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x8971),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x8972),x8973)))
% 19.04/19.06 [903]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x9031),x9032)),x9033),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x9031),x9033)),x9032))
% 19.04/19.06 [912]E(f12(f166(x9121,a2),f166(x9121,a2),f12(x9121,f166(f166(x9121,a2),f166(x9121,a2)),f182(x9121),x9122),f12(f166(x9121,a2),f166(x9121,a2),f12(f166(x9121,a2),f166(f166(x9121,a2),f166(x9121,a2)),f190(f166(x9121,a2)),x9123),f12(f166(x9121,a2),f166(x9121,a2),f12(x9121,f166(f166(x9121,a2),f166(x9121,a2)),f182(x9121),x9122),f6(f166(x9121,a2))))),f12(f166(x9121,a2),f166(x9121,a2),f12(x9121,f166(f166(x9121,a2),f166(x9121,a2)),f182(x9121),x9122),x9123))
% 19.04/19.06 [918]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9181),x9182)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9183),x9182)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x9181),x9183)),x9182))
% 19.04/19.06 [919]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9191),x9192)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9193),x9192)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x9191),x9193)),x9192))
% 19.04/19.06 [920]E(f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9201),x9202)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9203),x9202)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x9201),x9203)),x9202))
% 19.04/19.06 [921]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9211),x9212)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x9213),x9212)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x9211),x9213)),x9212))
% 19.04/19.06 [929]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,a204,x9291)),x9292)),f12(a185,a185,a204,x9293)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x9291),x9292)),x9293))
% 19.04/19.06 [936]E(f12(f166(x9361,a2),f166(x9361,a2),f9(x9361),f12(f166(x9361,a2),f166(x9361,a2),f12(f166(x9361,f166(a2,a2)),f166(f166(x9361,a2),f166(x9361,a2)),f15(x9361,a2,a2),f12(f166(x9361,a2),f166(x9361,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x9361,a2),f166(x9361,f166(a2,a2))),f10(a2,f166(a2,a2),x9361),a169),f12(x9361,f166(x9361,a2),f12(f166(x9361,f166(x9361,a2)),f166(x9361,f166(x9361,a2)),f11(x9361,x9361,a2),f171(x9361)),x9362))),f12(f166(x9361,a2),f166(x9361,a2),f12(f166(x9361,f166(f166(x9361,a2),a2)),f166(f166(x9361,a2),f166(x9361,a2)),f11(x9361,f166(x9361,a2),a2),f189(x9361)),x9363))),f12(f166(x9361,a2),f166(x9361,a2),f12(x9361,f166(f166(x9361,a2),f166(x9361,a2)),f182(x9361),x9362),x9363))
% 19.04/19.06 [937]E(f12(f166(x9371,a2),f166(x9371,a2),f9(x9371),f12(f166(x9371,a2),f166(x9371,a2),f12(f166(x9371,f166(a2,a2)),f166(f166(x9371,a2),f166(x9371,a2)),f15(x9371,a2,a2),f12(f166(x9371,a2),f166(x9371,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x9371,a2),f166(x9371,f166(a2,a2))),f10(a2,f166(a2,a2),x9371),a169),f12(x9371,f166(x9371,a2),f12(f166(x9371,f166(x9371,a2)),f166(x9371,f166(x9371,a2)),f11(x9371,x9371,a2),f171(x9371)),x9372))),f12(f166(x9371,a2),f166(x9371,a2),f12(f166(x9371,f166(f166(x9371,a2),a2)),f166(f166(x9371,a2),f166(x9371,a2)),f11(x9371,f166(x9371,a2),a2),f189(x9371)),x9373))),f12(f166(x9371,a2),f166(x9371,a2),f12(x9371,f166(f166(x9371,a2),f166(x9371,a2)),f182(x9371),x9372),x9373))
% 19.04/19.06 [901]E(f12(f166(x9011,a2),f166(x9011,a2),f12(f166(x9011,a2),f166(f166(x9011,a2),f166(x9011,a2)),f190(f166(x9011,a2)),f12(f166(x9011,a2),f166(x9011,a2),f12(f166(x9011,a2),f166(f166(x9011,a2),f166(x9011,a2)),f190(f166(x9011,a2)),x9012),x9013)),x9013),f12(f166(x9011,a2),f166(x9011,a2),f12(f166(x9011,a2),f166(f166(x9011,a2),f166(x9011,a2)),f190(f166(x9011,a2)),x9012),x9013))
% 19.04/19.06 [928]P21(f12(f166(x9281,a2),a2,f12(f166(x9281,a2),f166(f166(x9281,a2),a2),f199(f166(x9281,a2)),f12(f166(x9281,a2),f166(x9281,a2),f12(f166(x9281,a2),f166(f166(x9281,a2),f166(x9281,a2)),f190(f166(x9281,a2)),x9282),x9283)),x9282))
% 19.04/19.06 [931]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a185,a1,f205(a1),x9311)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a185,a1,f205(a1),x9312)),x9313)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x9311),x9312))),x9313))
% 19.04/19.06 [939]E(f12(f166(x9391,a2),f166(x9391,a2),f9(x9391),f12(f166(x9391,a2),f166(x9391,a2),f12(f166(x9391,f166(a2,a2)),f166(f166(x9391,a2),f166(x9391,a2)),f15(x9391,a2,a2),f12(f166(x9391,a2),f166(x9391,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x9391,a2),f166(x9391,f166(a2,a2))),f10(a2,f166(a2,a2),x9391),a168),f12(f166(x9391,a2),f166(x9391,a2),f12(f166(x9391,f166(f166(x9391,a2),a2)),f166(f166(x9391,a2),f166(x9391,a2)),f11(x9391,f166(x9391,a2),a2),f189(x9391)),x9392))),f12(f166(x9391,a2),f166(x9391,a2),f12(f166(a2,a2),f166(f166(x9391,a2),f166(x9391,a2)),f10(a2,a2,x9391),a165),f12(f166(x9391,a2),f166(x9391,a2),f12(f166(x9391,f166(f166(x9391,a2),a2)),f166(f166(x9391,a2),f166(x9391,a2)),f11(x9391,f166(x9391,a2),a2),f189(x9391)),x9393)))),f12(f166(x9391,a2),f166(x9391,a2),f12(f166(x9391,a2),f166(f166(x9391,a2),f166(x9391,a2)),f190(f166(x9391,a2)),x9392),x9393))
% 19.04/19.06 [940]E(f12(f166(x9401,a2),f166(x9401,a2),f9(x9401),f12(f166(x9401,a2),f166(x9401,a2),f12(f166(x9401,f166(a2,a2)),f166(f166(x9401,a2),f166(x9401,a2)),f15(x9401,a2,a2),f12(f166(x9401,a2),f166(x9401,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x9401,a2),f166(x9401,f166(a2,a2))),f10(a2,f166(a2,a2),x9401),a170),f12(f166(x9401,a2),f166(x9401,a2),f12(f166(a2,a2),f166(f166(x9401,a2),f166(x9401,a2)),f10(a2,a2,x9401),a165),f12(x9401,f166(x9401,a2),f12(f166(x9401,f166(x9401,a2)),f166(x9401,f166(x9401,a2)),f11(x9401,x9401,a2),f171(x9401)),x9402)))),x9403)),f12(f166(x9401,a2),f166(x9401,a2),f12(x9401,f166(f166(x9401,a2),f166(x9401,a2)),f182(x9401),x9402),f12(f166(x9401,a2),f166(x9401,a2),f9(x9401),x9403)))
% 19.04/19.06 [797]E(f12(x7971,x7971,f7(x7971),f12(x7972,x7971,x7973,x7974)),f12(x7972,x7971,x7973,x7974))
% 19.04/19.06 [856]E(f12(a185,x8561,f12(f166(a185,x8561),f166(a185,x8561),f12(x8561,f166(f166(a185,x8561),f166(a185,x8561)),f193(x8561),x8562),x8563),f12(a185,a185,a204,x8564)),f12(a185,x8561,x8563,x8564))
% 19.04/19.06 [798]E(f12(x7981,x7982,x7983,f12(x7981,x7981,f7(x7981),x7984)),f12(x7981,x7982,x7983,x7984))
% 19.04/19.06 [807]E(f12(x8071,x8072,f12(x8072,f166(x8071,x8072),f14(x8072,x8071),x8073),x8074),f12(x8072,x8072,f7(x8072),x8073))
% 19.04/19.06 [812]E(f12(x8121,x8122,f12(f166(x8121,x8122),f166(x8121,x8122),f7(f166(x8121,x8122)),x8123),x8124),f12(x8121,x8122,x8123,x8124))
% 19.04/19.06 [891]E(f12(f166(x8911,a2),f166(x8911,a2),f12(x8911,f166(f166(x8911,a2),f166(x8911,a2)),f182(x8911),x8912),f12(f166(x8911,a2),f166(x8911,a2),f12(x8911,f166(f166(x8911,a2),f166(x8911,a2)),f182(x8911),x8913),x8914)),f12(f166(x8911,a2),f166(x8911,a2),f12(x8911,f166(f166(x8911,a2),f166(x8911,a2)),f182(x8911),x8913),f12(f166(x8911,a2),f166(x8911,a2),f12(x8911,f166(f166(x8911,a2),f166(x8911,a2)),f182(x8911),x8912),x8914)))
% 19.04/19.06 [925]E(f12(f166(x9251,a2),f166(x9251,a2),f12(f166(x9251,a2),f166(f166(x9251,a2),f166(x9251,a2)),f190(f166(x9251,a2)),f12(f166(x9251,a2),f166(x9251,a2),f12(f166(x9251,a2),f166(f166(x9251,a2),f166(x9251,a2)),f190(f166(x9251,a2)),x9252),x9253)),f12(f166(x9251,a2),f166(x9251,a2),f12(x9251,f166(f166(x9251,a2),f166(x9251,a2)),f182(x9251),x9254),f6(f166(x9251,a2)))),f12(f166(x9251,a2),f166(x9251,a2),f12(f166(x9251,a2),f166(f166(x9251,a2),f166(x9251,a2)),f190(f166(x9251,a2)),x9252),f12(f166(x9251,a2),f166(x9251,a2),f12(x9251,f166(f166(x9251,a2),f166(x9251,a2)),f182(x9251),x9254),x9253)))
% 19.04/19.06 [933]E(f12(f166(x9331,a2),f166(x9331,a2),f12(f166(x9331,a2),f166(f166(x9331,a2),f166(x9331,a2)),f190(f166(x9331,a2)),f12(f166(x9331,a2),f166(x9331,a2),f12(f166(x9331,a2),f166(f166(x9331,a2),f166(x9331,a2)),f190(f166(x9331,a2)),x9332),f12(f166(x9331,a2),f166(x9331,a2),f12(x9331,f166(f166(x9331,a2),f166(x9331,a2)),f182(x9331),x9333),f6(f166(x9331,a2))))),x9334),f12(f166(x9331,a2),f166(x9331,a2),f12(f166(x9331,a2),f166(f166(x9331,a2),f166(x9331,a2)),f190(f166(x9331,a2)),x9332),f12(f166(x9331,a2),f166(x9331,a2),f12(x9331,f166(f166(x9331,a2),f166(x9331,a2)),f182(x9331),x9333),x9334)))
% 19.04/19.06 [935]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9351),x9352)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x9353),x9352)),x9354)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x9351),x9353)),x9352)),x9354))
% 19.04/19.06 [916]E(f12(f166(x9161,a2),x9162,f12(x9162,f166(f166(x9161,a2),x9162),f12(f166(x9161,x9162),f166(x9162,f166(f166(x9161,a2),x9162)),f12(f166(x9162,f166(x9162,x9162)),f166(f166(x9161,x9162),f166(x9162,f166(f166(x9161,a2),x9162))),f178(x9162,x9161),x9163),x9164),x9165),f6(f166(x9161,a2))),f12(x9162,x9162,f7(x9162),x9165))
% 19.04/19.06 [902]E(f12(f166(x9021,a2),f166(x9022,a2),f12(f166(x9021,x9022),f166(f166(x9021,a2),f166(x9022,a2)),f181(x9021,x9022),x9023),f12(f166(x9021,a2),f166(x9021,a2),f12(x9021,f166(f166(x9021,a2),f166(x9021,a2)),f182(x9021),x9024),x9025)),f12(f166(x9022,a2),f166(x9022,a2),f12(x9022,f166(f166(x9022,a2),f166(x9022,a2)),f182(x9022),f12(x9021,x9022,x9023,x9024)),f12(f166(x9021,a2),f166(x9022,a2),f12(f166(x9021,x9022),f166(f166(x9021,a2),f166(x9022,a2)),f181(x9021,x9022),x9023),x9025)))
% 19.04/19.06 [941]P21(f12(f166(x9411,a2),a2,f12(f166(x9411,a2),f166(f166(x9411,a2),a2),f199(f166(x9411,a2)),f12(f166(x9411,a2),f166(x9411,a2),f12(f166(x9411,a2),f166(f166(x9411,a2),f166(x9411,a2)),f190(f166(x9411,a2)),f12(f166(x9412,a2),f166(x9411,a2),f12(f166(x9412,x9411),f166(f166(x9412,a2),f166(x9411,a2)),f181(x9412,x9411),x9413),x9414)),f12(f166(x9412,a2),f166(x9411,a2),f12(f166(x9412,x9411),f166(f166(x9412,a2),f166(x9411,a2)),f181(x9412,x9411),x9413),x9415))),f12(f166(x9412,a2),f166(x9411,a2),f12(f166(x9412,x9411),f166(f166(x9412,a2),f166(x9411,a2)),f181(x9412,x9411),x9413),f12(f166(x9412,a2),f166(x9412,a2),f12(f166(x9412,a2),f166(f166(x9412,a2),f166(x9412,a2)),f190(f166(x9412,a2)),x9414),x9415))))
% 19.04/19.06 [862]E(f12(x8621,x8622,f12(x8623,f166(x8621,x8622),f12(f166(x8621,f166(x8623,x8622)),f166(x8623,f166(x8621,x8622)),f11(x8621,x8623,x8622),x8624),x8625),x8626),f12(x8623,x8622,f12(x8621,f166(x8623,x8622),x8624,x8626),x8625))
% 19.04/19.06 [863]E(f12(x8631,x8632,f12(f166(x8631,x8633),f166(x8631,x8632),f12(f166(x8633,x8632),f166(f166(x8631,x8633),f166(x8631,x8632)),f10(x8633,x8632,x8631),x8634),x8635),x8636),f12(x8633,x8632,x8634,f12(x8631,x8633,x8635,x8636)))
% 19.04/19.06 [879]E(f12(x8791,x8792,f12(f166(x8791,x8793),f166(x8791,x8792),f12(f166(x8791,f166(x8793,x8792)),f166(f166(x8791,x8793),f166(x8791,x8792)),f15(x8791,x8793,x8792),x8794),x8795),x8796),f12(x8793,x8792,f12(x8791,f166(x8793,x8792),x8794,x8796),f12(x8791,x8793,x8795,x8796)))
% 19.04/19.06 [922]E(f12(f166(x9221,a2),f166(x9222,a2),f12(f166(x9221,x9222),f166(f166(x9221,a2),f166(x9222,a2)),f181(x9221,x9222),x9223),f12(f166(x9224,a2),f166(x9221,a2),f12(f166(x9224,x9221),f166(f166(x9224,a2),f166(x9221,a2)),f181(x9224,x9221),x9225),x9226)),f12(f166(x9224,a2),f166(x9222,a2),f12(f166(x9224,x9222),f166(f166(x9224,a2),f166(x9222,a2)),f181(x9224,x9222),f12(f166(x9224,x9221),f166(x9224,x9222),f12(f166(x9221,x9222),f166(f166(x9224,x9221),f166(x9224,x9222)),f10(x9221,x9222,x9224),x9223),x9225)),x9226))
% 19.04/19.06 [978]~P61(x9781)+~E(f195(x9781),f183(x9781))
% 19.04/19.06 [1006]P21(x10061)+P21(f12(a2,a2,a165,x10061))
% 19.04/19.06 [1032]~P21(x10321)+~P21(f12(a2,a2,a165,x10321))
% 19.04/19.06 [986]E(x9861,f183(a185))+E(f12(a185,a185,a204,f55(x9861)),x9861)
% 19.04/19.06 [987]E(x9871,f183(a185))+E(f12(a185,a185,a204,f159(x9871)),x9871)
% 19.04/19.06 [988]~E(x9881,f183(a185))+E(f12(a185,a1,f205(a1),x9881),f183(a1))
% 19.04/19.06 [990]~P37(x9901)+E(f12(a1,x9901,f191(x9901),a184),f183(x9901))
% 19.04/19.06 [991]~P38(x9911)+E(f12(a1,x9911,f191(x9911),a184),f183(x9911))
% 19.04/19.06 [992]~P59(x9921)+E(f12(a185,x9921,f205(x9921),f195(a185)),f195(x9921))
% 19.04/19.06 [993]~P59(x9931)+E(f12(a185,x9931,f205(x9931),f183(a185)),f183(x9931))
% 19.04/19.06 [994]~P31(x9941)+E(f12(x9941,x9941,f7(x9941),f195(x9941)),f195(x9941))
% 19.04/19.06 [995]~P58(x9951)+E(f12(x9951,x9951,f7(x9951),f183(x9951)),f183(x9951))
% 19.04/19.06 [996]~P8(x9961)+E(f12(x9961,x9961,f7(x9961),f6(x9961)),f6(x9961))
% 19.04/19.06 [997]~P27(x9971)+E(f12(x9971,x9971,f4(x9971),f195(x9971)),f195(x9971))
% 19.04/19.06 [998]~P1(x9981)+E(f12(x9981,x9981,f4(x9981),f183(x9981)),f183(x9981))
% 19.04/19.06 [1001]~P42(x10011)+E(f12(f166(x10011,a2),f166(x10011,a2),f7(f166(x10011,a2)),f206(x10011)),f206(x10011))
% 19.04/19.06 [1002]~P59(x10021)+E(f12(f166(a185,x10021),f166(a185,x10021),f7(f166(a185,x10021)),f205(x10021)),f205(x10021))
% 19.04/19.06 [1003]~P36(x10031)+E(f12(f166(a1,x10031),f166(a1,x10031),f7(f166(a1,x10031)),f191(x10031)),f191(x10031))
% 19.04/19.06 [1004]~P1(x10041)+E(f12(f166(x10041,x10041),f166(x10041,x10041),f7(f166(x10041,x10041)),f4(x10041)),f4(x10041))
% 19.04/19.06 [1005]E(x10051,f183(a185))+~E(f12(a185,a1,f205(a1),x10051),f183(a1))
% 19.04/19.06 [1008]E(f12(a2,a2,f7(a2),x10081),a164)+E(f12(a2,a2,f7(a2),x10081),a13)
% 19.04/19.06 [1009]~P21(x10091)+P21(f12(a2,a2,f7(a2),x10091))
% 19.04/19.06 [1010]~P39(x10101)+E(f12(f166(x10101,f166(x10101,a2)),f166(x10101,f166(x10101,a2)),f7(f166(x10101,f166(x10101,a2))),f200(x10101)),f200(x10101))
% 19.04/19.06 [1011]~P39(x10111)+E(f12(f166(x10111,f166(x10111,a2)),f166(x10111,f166(x10111,a2)),f7(f166(x10111,f166(x10111,a2))),f199(x10111)),f199(x10111))
% 19.04/19.06 [1014]~P2(x10141)+E(f12(f166(x10141,f166(x10141,x10141)),f166(x10141,f166(x10141,x10141)),f7(f166(x10141,f166(x10141,x10141))),f190(x10141)),f190(x10141))
% 19.04/19.06 [1015]~P32(x10151)+E(f12(f166(x10151,f166(x10151,x10151)),f166(x10151,f166(x10151,x10151)),f7(f166(x10151,f166(x10151,x10151))),f203(x10151)),f203(x10151))
% 19.04/19.06 [1016]~P3(x10161)+E(f12(f166(x10161,f166(x10161,x10161)),f166(x10161,f166(x10161,x10161)),f7(f166(x10161,f166(x10161,x10161))),f203(x10161)),f203(x10161))
% 19.04/19.06 [1017]~P4(x10171)+E(f12(f166(x10171,f166(x10171,x10171)),f166(x10171,f166(x10171,x10171)),f7(f166(x10171,f166(x10171,x10171))),f203(x10171)),f203(x10171))
% 19.04/19.06 [1018]~P7(x10181)+E(f12(f166(x10181,f166(x10181,x10181)),f166(x10181,f166(x10181,x10181)),f7(f166(x10181,f166(x10181,x10181))),f216(x10181)),f216(x10181))
% 19.04/19.06 [1019]~P33(x10191)+E(f12(f166(x10191,f166(x10191,x10191)),f166(x10191,f166(x10191,x10191)),f7(f166(x10191,f166(x10191,x10191))),f216(x10191)),f216(x10191))
% 19.04/19.06 [1020]~P41(x10201)+E(f12(f166(x10201,f166(x10201,x10201)),f166(x10201,f166(x10201,x10201)),f7(f166(x10201,f166(x10201,x10201))),f216(x10201)),f216(x10201))
% 19.04/19.06 [1021]~P34(x10211)+E(f12(f166(x10211,f166(x10211,x10211)),f166(x10211,f166(x10211,x10211)),f7(f166(x10211,f166(x10211,x10211))),f216(x10211)),f216(x10211))
% 19.04/19.06 [1022]~P35(x10221)+E(f12(f166(x10221,f166(x10221,x10221)),f166(x10221,f166(x10221,x10221)),f7(f166(x10221,f166(x10221,x10221))),f216(x10221)),f216(x10221))
% 19.04/19.06 [1025]~P6(x10251)+P21(f12(f166(x10251,f166(x10251,x10251)),a2,f176(x10251,x10251),f216(x10251)))
% 19.04/19.06 [1027]~P37(x10271)+E(f12(a1,x10271,f191(x10271),f12(a1,a1,a3,a184)),f195(x10271))
% 19.04/19.06 [1028]~P38(x10281)+E(f12(a1,x10281,f191(x10281),f12(a1,a1,a3,a184)),f195(x10281))
% 19.04/19.06 [1035]P21(x10351)+~P21(f12(a2,a2,f7(a2),x10351))
% 19.04/19.06 [1076]~P59(x10761)+E(f12(f166(f166(x10761,x10761),f166(a185,f166(x10761,x10761))),f166(f166(x10761,x10761),f166(a185,f166(x10761,x10761))),f7(f166(f166(x10761,x10761),f166(a185,f166(x10761,x10761)))),f207(x10761)),f207(x10761))
% 19.04/19.06 [1127]~P26(x11271)+P21(f12(x11271,a2,f12(x11271,f166(x11271,a2),f200(x11271),f183(x11271)),f195(x11271)))
% 19.04/19.06 [1128]~P26(x11281)+P21(f12(x11281,a2,f12(x11281,f166(x11281,a2),f199(x11281),f183(x11281)),f195(x11281)))
% 19.04/19.06 [1148]~P42(x11481)+P21(f12(f166(x11481,a2),a2,f12(x11481,f166(f166(x11481,a2),a2),f189(x11481),f195(x11481)),f206(x11481)))
% 19.04/19.06 [1149]~P42(x11491)+P21(f12(f166(x11491,a2),a2,f12(x11491,f166(f166(x11491,a2),a2),f189(x11491),f183(x11491)),f206(x11491)))
% 19.04/19.06 [1168]~P21(f12(a1,a2,a192,x11681))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x11681),f183(a1)))
% 19.04/19.06 [1197]E(x11971,f183(a185))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x11971),f183(a185)))
% 19.04/19.06 [1210]~P26(x12101)+~P21(f12(x12101,a2,f12(x12101,f166(x12101,a2),f200(x12101),f195(x12101)),f183(x12101)))
% 19.04/19.06 [1211]~P26(x12111)+~P21(f12(x12111,a2,f12(x12111,f166(x12111,a2),f199(x12111),f195(x12111)),f183(x12111)))
% 19.04/19.06 [1242]P21(f12(a1,a2,a192,x12421))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x12421),f183(a1)))
% 19.04/19.06 [1315]~E(x13151,f183(a1))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f4(a1),x13151)),f195(a1)))
% 19.04/19.06 [1316]~E(x13161,f183(a185))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,f205(a1),x13161)),f183(a1)))
% 19.04/19.06 [1525]E(x15251,f183(a185))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,f205(a1),x15251)),f183(a1)))
% 19.04/19.06 [1526]E(x15261,f183(a1))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f4(a1),x15261)),f195(a1)))
% 19.04/19.06 [2172]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x21721),f183(a1)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f195(a1)),x21721)),x21721)),f183(a1)))
% 19.04/19.06 [2200]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x22001),f183(a1)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f195(a1)),x22001)),x22001)),f183(a1)))
% 19.04/19.06 [1117]E(x11171,f183(a185))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x11171))
% 19.04/19.06 [1158]P21(f12(a1,a2,a192,x11581))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x11581))
% 19.04/19.06 [1195]E(f12(a185,a1,f205(a1),f12(a1,a185,f191(a185),x11951)),f12(a1,a1,f191(a1),x11951))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x11951)))
% 19.04/19.06 [1209]E(f12(a1,a185,f191(a185),x12091),f183(a185))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x12091)))
% 19.04/19.06 [1222]E(f12(a185,a185,a204,f119(x12221)),x12221)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x12221))
% 19.04/19.06 [1223]E(f12(a185,a185,a204,f157(x12231)),x12231)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x12231))
% 19.04/19.06 [1224]E(f12(a185,a1,f205(a1),f47(x12241)),x12241)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x12241))
% 19.04/19.06 [1225]E(f12(a185,a1,f205(a1),f51(x12251)),x12251)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x12251))
% 19.04/19.06 [1226]E(f12(a185,a1,f205(a1),f52(x12261)),x12261)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x12261))
% 19.04/19.06 [1227]E(f12(a185,a1,f205(a1),f53(x12271)),x12271)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x12271))
% 19.04/19.06 [1241]E(f12(a185,a185,a204,f12(a1,a185,f191(a185),x12411)),f12(a1,a185,f191(a185),f12(a1,a1,a210,x12411)))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x12411)))
% 19.04/19.06 [1252]E(f12(a1,a185,f191(a185),f12(a1,a1,a3,x12521)),f183(a185))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x12521)))
% 19.04/19.06 [1253]E(f12(a185,a185,a204,f12(a1,a185,f191(a185),x12531)),f195(a185))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x12531)))
% 19.04/19.06 [1254]E(f12(a185,a1,f205(a1),f12(a1,a185,f191(a185),x12541)),f183(a1))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x12541)))
% 19.04/19.06 [1293]~P21(f12(a1,a2,a192,x12931))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x12931))
% 19.04/19.06 [1319]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f195(a185)),f12(a1,a185,f191(a185),x13191)),f12(a1,a185,f191(a185),f12(a1,a1,a210,x13191)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x13191),a184))
% 19.04/19.06 [1339]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f195(a185)),f12(a1,a185,f191(a185),x13391)),f195(a185))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x13391),a184))
% 19.04/19.06 [1355]E(x13551,f183(a185))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13551),f12(a185,a185,a204,f183(a185))))
% 19.04/19.06 [1369]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x13691))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f195(a1)),x13691))
% 19.04/19.06 [1370]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x13701))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f195(a1)),x13701))
% 19.04/19.06 [1371]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f47(x13711)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x13711))
% 19.04/19.06 [1396]E(f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x13961),f195(a185))),x13961)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x13961))
% 19.04/19.06 [1457]~P26(x14571)+P21(f12(x14571,a2,f12(x14571,f166(x14571,a2),f200(x14571),f183(x14571)),f12(x14571,x14571,f12(x14571,f166(x14571,x14571),f203(x14571),f195(x14571)),f195(x14571))))
% 19.04/19.06 [1460]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),a184),f12(a1,a1,a3,x14601)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),a184),x14601))
% 19.04/19.06 [1461]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),a184),f12(a1,a1,a3,x14611)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),a184),x14611))
% 19.04/19.06 [1484]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x14841))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),f12(a185,a1,f205(a1),x14841)))
% 19.04/19.06 [1511]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),a184),f12(a1,a1,a3,x15111)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),a184),x15111))
% 19.04/19.06 [1512]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),a184),f12(a1,a1,a3,x15121)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),a184),x15121))
% 19.04/19.06 [1528]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x15281))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),f12(a185,a1,f205(a1),x15281)))
% 19.04/19.06 [1539]~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x15391)))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),f12(a1,a1,a3,x15391))))
% 19.04/19.06 [1549]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x15491),a184))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,a3,x15491)),a184))
% 19.04/19.06 [1550]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x15501),a184))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,a3,x15501)),a184))
% 19.04/19.06 [1611]P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x16111)))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),f12(a1,a1,a3,x16111))))
% 19.04/19.06 [1629]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16291),a184))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,a3,x16291)),a184))
% 19.04/19.06 [1630]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16301),a184))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,a3,x16301)),a184))
% 19.04/19.06 [1496]E(f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x14961),f12(a185,a185,a204,f183(a185)))),x14961)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x14961))
% 19.04/19.06 [1563]~P21(f12(f166(a201,a2),a2,f12(a201,f166(f166(a201,a2),a2),f189(a201),x15631),a209))+P21(f12(a8,a2,a218,f12(f196(a8),a8,f211(a8),f12(a201,f196(a8),a5,x15631))))
% 19.04/19.06 [1621]E(f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x16211)),f12(a1,a185,f191(a185),x16211))),f12(a1,a185,f191(a185),f12(a1,a1,a3,x16211)))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x16211)))
% 19.04/19.06 [1656]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x16561))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f195(a1)),x16561)))
% 19.04/19.06 [1694]P21(f12(f166(a185,a2),a2,f175(a185),x16941))+~P21(f12(f166(a1,a2),a2,f175(a1),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x16941)))
% 19.04/19.06 [979]~P2(x9792)+P2(f166(x9791,x9792))
% 19.04/19.06 [980]~P8(x9802)+P8(f166(x9801,x9802))
% 19.04/19.06 [981]~P39(x9812)+P39(f166(x9811,x9812))
% 19.04/19.06 [982]~P40(x9822)+P40(f166(x9821,x9822))
% 19.04/19.06 [983]~P43(x9832)+P43(f166(x9831,x9832))
% 19.04/19.06 [1030]E(x10301,x10302)+~E(f12(a185,a185,a204,x10301),f12(a185,a185,a204,x10302))
% 19.04/19.06 [1031]E(x10311,x10312)+~E(f12(a1,a1,a3,x10311),f12(a1,a1,a3,x10312))
% 19.04/19.06 [1013]~P10(x10131)+P21(f12(f166(x10131,a2),a2,f175(x10131),x10132))
% 19.04/19.06 [1034]E(x10341,x10342)+~E(f12(a185,a1,f205(a1),x10341),f12(a185,a1,f205(a1),x10342))
% 19.04/19.06 [1046]~P35(x10461)+E(f12(x10461,x10461,f12(x10461,f166(x10461,x10461),f216(x10461),x10462),f183(x10461)),f183(x10461))
% 19.04/19.06 [1047]~P12(x10471)+E(f12(x10471,x10471,f12(x10471,f166(x10471,x10471),f216(x10471),x10472),f183(x10471)),f183(x10471))
% 19.04/19.06 [1052]E(f12(f166(x10521,a2),a185,f167(x10521),x10522),f183(a185))+P21(f12(f166(x10521,a2),a2,f175(x10521),x10522))
% 19.04/19.06 [1054]E(f12(f166(x10541,a2),f166(x10541,a2),f9(x10541),x10542),f6(f166(x10541,a2)))+P21(f12(x10541,a2,x10542,f56(x10541,x10542)))
% 19.04/19.06 [1055]E(f12(f166(x10551,a2),f166(x10551,a2),f9(x10551),x10552),f6(f166(x10551,a2)))+P21(f12(x10551,a2,x10552,f57(x10551,x10552)))
% 19.04/19.06 [1061]~P17(x10611)+E(f12(x10611,x10611,f12(x10611,f166(x10611,x10611),f190(x10611),x10612),f183(x10611)),f12(x10611,x10611,f7(x10611),x10612))
% 19.04/19.06 [1062]~P32(x10621)+E(f12(x10621,x10621,f12(x10621,f166(x10621,x10621),f203(x10621),x10622),f183(x10621)),f12(x10621,x10621,f7(x10621),x10622))
% 19.04/19.06 [1063]~P11(x10631)+E(f12(x10631,x10631,f12(x10631,f166(x10631,x10631),f203(x10631),x10632),f183(x10631)),f12(x10631,x10631,f7(x10631),x10632))
% 19.04/19.06 [1064]~P12(x10641)+E(f12(x10641,x10641,f12(x10641,f166(x10641,x10641),f203(x10641),x10642),f183(x10641)),f12(x10641,x10641,f7(x10641),x10642))
% 19.04/19.06 [1065]~P33(x10651)+E(f12(x10651,x10651,f12(x10651,f166(x10651,x10651),f216(x10651),x10652),f195(x10651)),f12(x10651,x10651,f7(x10651),x10652))
% 19.04/19.06 [1066]~P12(x10661)+E(f12(x10661,x10661,f12(x10661,f166(x10661,x10661),f216(x10661),x10662),f195(x10661)),f12(x10661,x10661,f7(x10661),x10662))
% 19.04/19.06 [1067]~P14(x10671)+E(f12(x10671,x10671,f12(x10671,f166(x10671,x10671),f216(x10671),x10672),f195(x10671)),f12(x10671,x10671,f7(x10671),x10672))
% 19.04/19.06 [1205]~E(x12051,x12052)+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x12051),f12(a185,a185,a204,x12052)))
% 19.04/19.06 [1206]~P8(x12061)+~P21(f12(x12061,a2,f12(x12061,f166(x12061,a2),f200(x12061),x12062),f6(x12061)))
% 19.04/19.06 [1207]~E(x12071,f183(a185))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x12071),f12(a185,a185,a204,x12072)))
% 19.04/19.06 [1346]~P42(x13461)+P21(f12(f166(x13461,a2),a2,f12(x13461,f166(f166(x13461,a2),a2),f189(x13461),f12(a185,x13461,f205(x13461),x13462)),f206(x13461)))
% 19.04/19.06 [1347]~P37(x13471)+P21(f12(f166(x13471,a2),a2,f12(x13471,f166(f166(x13471,a2),a2),f189(x13471),f12(a1,x13471,f191(x13471),x13472)),f206(x13471)))
% 19.04/19.06 [1533]~P26(x15331)+~P21(f12(x15331,a2,f12(x15331,f166(x15331,a2),f200(x15331),f12(a185,x15331,f205(x15331),x15332)),f183(x15331)))
% 19.04/19.06 [1538]~P1(x15381)+~P21(f12(x15381,a2,f12(x15381,f166(x15381,a2),f200(x15381),f12(x15381,x15381,f4(x15381),x15382)),f183(x15381)))
% 19.04/19.06 [1887]~P29(x18871)+~P21(f12(x18871,a2,f12(x18871,f166(x18871,a2),f200(x18871),f12(x18871,x18871,f12(x18871,f166(x18871,x18871),f216(x18871),x18872),x18872)),f183(x18871)))
% 19.04/19.06 [1892]~P59(x18921)+E(f12(x18921,x18921,f12(a185,f166(x18921,x18921),f12(f166(x18921,x18921),f166(a185,f166(x18921,x18921)),f207(x18921),f12(x18921,f166(x18921,x18921),f12(f166(x18921,f166(x18921,x18921)),f166(x18921,f166(x18921,x18921)),f11(x18921,x18921,x18921),f203(x18921)),f195(x18921))),x18922),f183(x18921)),f12(a185,x18921,f205(x18921),x18922))
% 19.04/19.06 [1036]~E(x10361,f183(a185))+E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x10361),x10362),x10362)
% 19.04/19.06 [1037]~E(x10372,f183(a185))+E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x10371),x10372),f183(a185))
% 19.04/19.06 [1039]~E(x10391,f183(a185))+E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x10391),x10392),f183(a185))
% 19.04/19.06 [1045]~P17(x10451)+E(f12(x10451,x10451,f12(x10451,f166(x10451,x10451),f190(x10451),x10452),x10452),f183(x10451))
% 19.04/19.06 [1048]~P35(x10481)+E(f12(x10481,x10481,f12(x10481,f166(x10481,x10481),f216(x10481),f183(x10481)),x10482),f183(x10481))
% 19.04/19.06 [1049]~P12(x10491)+E(f12(x10491,x10491,f12(x10491,f166(x10491,x10491),f216(x10491),f183(x10491)),x10492),f183(x10491))
% 19.04/19.06 [1053]E(f12(f166(x10531,a2),a185,f167(x10531),x10532),f183(a185))+~E(f12(f166(x10531,a2),f166(x10531,a2),f7(f166(x10531,a2)),x10532),f6(f166(x10531,a2)))
% 19.04/19.06 [1056]~P38(x10561)+E(f12(a1,x10561,f191(x10561),f12(a185,a1,f205(a1),x10562)),f12(a185,x10561,f205(x10561),x10562))
% 19.04/19.06 [1057]~P27(x10571)+E(f12(x10571,x10571,f4(x10571),f12(a185,x10571,f205(x10571),x10572)),f12(a185,x10571,f205(x10571),x10572))
% 19.04/19.06 [1058]~P1(x10581)+E(f12(x10581,x10581,f4(x10581),f12(x10581,x10581,f4(x10581),x10582)),f12(x10581,x10581,f4(x10581),x10582))
% 19.04/19.06 [1060]~P6(x10601)+E(f12(x10601,x10601,f12(x10601,f166(x10601,x10601),f216(x10601),x10602),x10602),f12(x10601,x10601,f7(x10601),x10602))
% 19.04/19.06 [1068]~P32(x10681)+E(f12(x10681,x10681,f12(x10681,f166(x10681,x10681),f203(x10681),f183(x10681)),x10682),f12(x10681,x10681,f7(x10681),x10682))
% 19.04/19.06 [1069]~P11(x10691)+E(f12(x10691,x10691,f12(x10691,f166(x10691,x10691),f203(x10691),f183(x10691)),x10692),f12(x10691,x10691,f7(x10691),x10692))
% 19.04/19.06 [1070]~P12(x10701)+E(f12(x10701,x10701,f12(x10701,f166(x10701,x10701),f203(x10701),f183(x10701)),x10702),f12(x10701,x10701,f7(x10701),x10702))
% 19.04/19.06 [1071]~P33(x10711)+E(f12(x10711,x10711,f12(x10711,f166(x10711,x10711),f216(x10711),f195(x10711)),x10712),f12(x10711,x10711,f7(x10711),x10712))
% 19.04/19.06 [1072]~P12(x10721)+E(f12(x10721,x10721,f12(x10721,f166(x10721,x10721),f216(x10721),f195(x10721)),x10722),f12(x10721,x10721,f7(x10721),x10722))
% 19.04/19.06 [1073]~P14(x10731)+E(f12(x10731,x10731,f12(x10731,f166(x10731,x10731),f216(x10731),f195(x10731)),x10732),f12(x10731,x10731,f7(x10731),x10732))
% 19.04/19.06 [1074]~E(f12(f166(x10741,a2),f166(x10741,a2),f7(f166(x10741,a2)),x10742),f6(f166(x10741,a2)))+P21(f12(f166(x10741,a2),a2,f175(x10741),x10742))
% 19.04/19.06 [1083]E(x10831,f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x10832),x10831),x10832)
% 19.04/19.06 [1086]E(x10861,f195(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x10862),x10861),f195(a185))
% 19.04/19.06 [1087]E(x10871,f195(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x10871),x10872),f195(a185))
% 19.04/19.06 [1088]E(x10881,f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x10882),x10881),f183(a185))
% 19.04/19.06 [1089]E(x10891,f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x10891),x10892),f183(a185))
% 19.04/19.06 [1103]P21(x11031)+P21(f12(a2,a2,f12(a2,f166(a2,a2),a170,x11031),x11032))
% 19.04/19.06 [1104]~P21(x11042)+P21(f12(a2,a2,f12(a2,f166(a2,a2),a169,x11041),x11042))
% 19.04/19.06 [1105]~P21(x11051)+P21(f12(a2,a2,f12(a2,f166(a2,a2),a169,x11051),x11052))
% 19.04/19.06 [1106]~P21(x11062)+P21(f12(a2,a2,f12(a2,f166(a2,a2),a170,x11061),x11062))
% 19.04/19.06 [1108]~P37(x11081)+E(f12(x11081,x11081,f12(x11081,f166(x11081,x11081),f203(x11081),x11082),f12(a1,x11081,f191(x11081),a184)),f12(x11081,x11081,f7(x11081),x11082))
% 19.04/19.06 [1111]~E(x11111,x11112)+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x11111),x11112))
% 19.04/19.06 [1118]~P43(x11181)+P21(f12(x11181,a2,f12(x11181,f166(x11181,a2),f199(x11181),x11182),x11182))
% 19.04/19.06 [1126]~P8(x11261)+P21(f12(x11261,a2,f12(x11261,f166(x11261,a2),f199(x11261),f6(x11261)),x11262))
% 19.04/19.06 [1140]E(f12(f166(x11401,a2),f166(x11401,a2),f12(x11401,f166(f166(x11401,a2),f166(x11401,a2)),f182(x11401),f76(x11401,x11402)),f90(x11401,x11402)),f12(f166(x11401,a2),f166(x11401,a2),f7(f166(x11401,a2)),x11402))+E(f12(f166(x11401,a2),f166(x11401,a2),f7(f166(x11401,a2)),x11402),f6(f166(x11401,a2)))
% 19.04/19.06 [1142]E(x11421,f12(a185,a185,a204,f183(a185)))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11422),x11421),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1143]E(x11431,f12(a185,a185,a204,f183(a185)))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11431),x11432),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1152]~E(x11521,f12(a185,a185,a204,x11522))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x11521))
% 19.04/19.06 [1156]~P59(x11561)+E(f12(x11561,x11561,f12(x11561,f166(x11561,x11561),f203(x11561),f195(x11561)),f12(a185,x11561,f205(x11561),x11562)),f12(a185,x11561,f205(x11561),f12(a185,a185,a204,x11562)))
% 19.04/19.06 [1157]~P37(x11571)+E(f12(x11571,x11571,f12(x11571,f166(x11571,x11571),f203(x11571),f195(x11571)),f12(a1,x11571,f191(x11571),x11572)),f12(a1,x11571,f191(x11571),f12(a1,a1,a210,x11572)))
% 19.04/19.06 [1164]~P21(f12(a1,a2,x11641,f17(x11641)))+P21(f12(a1,a2,x11641,f12(a185,a1,f205(a1),x11642)))
% 19.04/19.06 [1166]E(f12(f166(x11661,a2),f166(x11661,a2),f7(f166(x11661,a2)),x11662),f6(f166(x11661,a2)))+P21(f12(f166(x11661,a2),a2,f12(x11661,f166(f166(x11661,a2),a2),f189(x11661),f78(x11661,x11662)),x11662))
% 19.04/19.06 [1167]E(f12(f166(x11671,a2),f166(x11671,a2),f7(f166(x11671,a2)),x11672),f6(f166(x11671,a2)))+P21(f12(f166(x11671,a2),a2,f12(x11671,f166(f166(x11671,a2),a2),f189(x11671),f79(x11671,x11672)),x11672))
% 19.04/19.06 [1169]E(f12(a1,a1,f12(a1,f166(a1,a1),a194,x11691),x11692),f183(a1))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x11692),x11691))
% 19.04/19.06 [1176]P21(f12(f166(a185,a2),a2,f175(a185),x11761))+P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),f102(x11762,x11761)),x11761))
% 19.04/19.06 [1177]P21(f12(f166(a185,a2),a2,f175(a185),x11771))+P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),f58(x11771,x11772)),x11771))
% 19.04/19.06 [1178]P21(f12(f166(a185,a2),a2,f175(a185),x11781))+P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),f103(x11781,x11782)),x11781))
% 19.04/19.06 [1179]P21(x11791)+~P21(f12(a2,a2,f12(a2,f166(a2,a2),a168,x11792),x11791))
% 19.04/19.06 [1180]P21(x11801)+~P21(f12(a2,a2,f12(a2,f166(a2,a2),a168,x11801),x11802))
% 19.04/19.06 [1192]~E(x11921,x11922)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x11921),x11922))
% 19.04/19.06 [1193]~E(x11931,x11932)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x11931),x11932))
% 19.04/19.06 [1194]~E(x11941,f183(a185))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x11942),x11941))
% 19.04/19.06 [1203]~P43(x12031)+~P21(f12(x12031,a2,f12(x12031,f166(x12031,a2),f200(x12031),x12032),x12032))
% 19.04/19.06 [1204]~P37(x12041)+E(f12(x12041,x12041,f12(x12041,f166(x12041,x12041),f216(x12041),x12042),f12(a1,x12041,f191(x12041),f12(a1,a1,a3,a184))),f12(x12041,x12041,f7(x12041),x12042))
% 19.04/19.06 [1213]~P1(x12131)+P21(f12(x12131,a2,f12(x12131,f166(x12131,a2),f199(x12131),x12132),f12(x12131,x12131,f4(x12131),x12132)))
% 19.04/19.06 [1216]~P26(x12161)+P21(f12(x12161,a2,f12(x12161,f166(x12161,a2),f199(x12161),f183(x12161)),f12(a185,x12161,f205(x12161),x12162)))
% 19.04/19.06 [1217]~P1(x12171)+P21(f12(x12171,a2,f12(x12171,f166(x12171,a2),f199(x12171),f183(x12171)),f12(x12171,x12171,f4(x12171),x12172)))
% 19.04/19.06 [1229]~E(f12(f166(x12291,a2),f166(x12291,a2),f7(f166(x12291,a2)),x12292),f6(f166(x12291,a2)))+P21(f12(f166(x12291,a2),a2,f12(f166(x12291,a2),f166(f166(x12291,a2),a2),f199(f166(x12291,a2)),x12292),f6(f166(x12291,a2))))
% 19.04/19.06 [1233]~E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x12331),x12332),f183(a185))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x12331),x12332))
% 19.04/19.06 [1234]P21(f12(a1,a2,x12341,f35(x12341)))+~P21(f12(a1,a2,x12341,f12(a185,a1,f205(a1),x12342)))
% 19.04/19.06 [1257]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f17(x12571)))+P21(f12(a1,a2,x12571,f12(a185,a1,f205(a1),x12572)))
% 19.04/19.06 [1264]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x12642),x12641))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x12641),x12642))
% 19.04/19.06 [1265]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x12652),x12651))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x12651),x12652))
% 19.04/19.06 [1270]~P27(x12701)+E(f12(x12701,x12701,f12(x12701,f166(x12701,x12701),f216(x12701),f12(x12701,x12701,f4(x12701),x12702)),f12(x12701,x12701,f4(x12701),x12702)),f12(x12701,x12701,f12(x12701,f166(x12701,x12701),f216(x12701),x12702),x12702))
% 19.04/19.06 [1271]P21(f12(f166(a185,a2),a2,f175(a185),x12711))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f102(x12712,x12711)),x12712))
% 19.04/19.06 [1272]P21(f12(f166(a185,a2),a2,f175(a185),x12721))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f103(x12721,x12722)),x12722))
% 19.04/19.06 [1273]P21(f12(f166(a185,a2),a2,f175(a185),x12731))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f58(x12731,x12732)),x12732))
% 19.04/19.06 [1292]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x12921),x12922),f183(a185))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x12921),x12922))
% 19.04/19.06 [1294]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x12941),f92(x12941,x12942)),x12942)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x12941),x12942))
% 19.04/19.06 [1295]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x12951),f158(x12951,x12952)),x12952)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x12951),x12952))
% 19.04/19.06 [1308]E(x13081,x13082)+~E(f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x13081),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x13082))
% 19.04/19.06 [1314]E(f12(f166(x13141,a2),f166(x13141,a2),f7(f166(x13141,a2)),x13142),f6(f166(x13141,a2)))+~P21(f12(f166(x13141,a2),a2,f12(x13141,f166(f166(x13141,a2),a2),f189(x13141),f76(x13141,x13142)),f90(x13141,x13142)))
% 19.04/19.06 [1342]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x13421),f12(a185,a1,f205(a1),f36(x13421,x13422))),x13422)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x13421),x13422))
% 19.04/19.06 [1343]E(f12(f166(x13431,a2),f166(x13431,a2),f7(f166(x13431,a2)),x13432),f6(f166(x13431,a2)))+~P21(f12(f166(x13431,a2),a2,f12(f166(x13431,a2),f166(f166(x13431,a2),a2),f199(f166(x13431,a2)),x13432),f6(f166(x13431,a2))))
% 19.04/19.06 [1349]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f35(x13491)))+~P21(f12(a1,a2,x13491,f12(a185,a1,f205(a1),x13492)))
% 19.04/19.06 [1357]E(f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x13571),x13572),f12(a1,a1,f12(a1,f166(a1,a1),a194,x13571),x13572))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x13572),x13571))
% 19.04/19.06 [1362]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13621),x13622))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x13621),x13622))
% 19.04/19.06 [1363]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x13631),x13632))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x13631),x13632))
% 19.04/19.06 [1372]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f158(x13721,x13722)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13721),x13722))
% 19.04/19.06 [1373]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13732),f12(a185,a185,a204,x13731)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13731),x13732))
% 19.04/19.06 [1397]E(f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x13971),f108(x13971,x13972))),x13972)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13971),x13972))
% 19.04/19.06 [1398]E(f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x13981),f109(x13981,x13982))),x13982)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13981),x13982))
% 19.04/19.06 [1416]~P37(x14161)+E(f12(x14161,x14161,f12(x14161,f166(x14161,x14161),f203(x14161),f12(a1,x14161,f191(x14161),x14162)),f195(x14161)),f12(a1,x14161,f191(x14161),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x14162),f12(a1,a1,a3,a184))))
% 19.04/19.06 [1430]~E(x14301,x14302)+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x14301),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x14302),f195(a1))))
% 19.04/19.06 [1435]P21(f12(f166(x14351,a2),a2,f175(x14351),x14352))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(f166(x14351,a2),a185,f167(x14351),x14352)))
% 19.04/19.06 [1436]~E(f12(f166(x14361,a2),f166(x14361,a2),f7(f166(x14361,a2)),x14362),f6(f166(x14361,a2)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(f166(x14361,a2),a185,f167(x14361),x14362)))
% 19.04/19.06 [1446]~P26(x14461)+P21(f12(x14461,a2,f12(x14461,f166(x14461,a2),f200(x14461),x14462),f12(x14461,x14461,f12(x14461,f166(x14461,x14461),f203(x14461),x14462),f195(x14461))))
% 19.04/19.06 [1465]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x14651),f12(a185,a185,a204,x14652)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x14651),x14652))
% 19.04/19.06 [1467]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x14671),f12(a185,a185,a204,x14672)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14671),x14672))
% 19.04/19.06 [1469]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14691),f12(a185,a185,a204,x14692)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14691),x14692))
% 19.04/19.06 [1487]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14871),x14872))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x14872)),x14871))
% 19.04/19.06 [1518]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15181),f12(a185,a185,a204,x15182)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15181),x15182))
% 19.04/19.06 [1540]E(f12(a185,a185,a204,f124(x15401,x15402)),x15402)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x15401)),x15402))
% 19.04/19.06 [1541]E(f12(a185,a185,a204,f125(x15411,x15412)),x15412)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,x15411)),x15412))
% 19.04/19.06 [1553]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15531),x15532))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x15531)),x15532))
% 19.04/19.06 [1573]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15732),f12(a185,a185,a204,x15731)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15731),x15732))
% 19.04/19.06 [1614]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,x16141)),f12(a185,a185,a204,x16142)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16141),x16142))
% 19.04/19.06 [1615]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x16151)),f12(a185,a185,a204,x16152)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16151),x16152))
% 19.04/19.06 [1617]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,a3,x16171)),f12(a1,a1,a3,x16172)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16171),x16172))
% 19.04/19.06 [1619]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,a3,x16191)),f12(a1,a1,a3,x16192)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x16191),x16192))
% 19.04/19.06 [1624]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16241),x16242))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a185,a1,f205(a1),x16241)),f12(a185,a1,f205(a1),x16242)))
% 19.04/19.06 [1625]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16251),x16252))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f191(a1),x16251)),f12(a1,a1,f191(a1),x16252)))
% 19.04/19.06 [1627]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16271),x16272))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,f205(a1),x16271)),f12(a185,a1,f205(a1),x16272)))
% 19.04/19.06 [1628]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x16281),x16282))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f191(a1),x16281)),f12(a1,a1,f191(a1),x16282)))
% 19.04/19.06 [1631]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16311),x16312))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,x16311)),x16312))
% 19.04/19.06 [1634]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16341),x16342))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x16341)),x16342))
% 19.04/19.06 [1635]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16351),x16352))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x16351)),x16352))
% 19.04/19.06 [1641]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16411),f125(x16411,x16412)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,x16411)),x16412))
% 19.04/19.06 [1650]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16501),x16502))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16501),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x16502),f195(a1))))
% 19.04/19.06 [1651]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x16511),x16512))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16511),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x16512),f195(a1))))
% 19.04/19.06 [1652]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16521),x16522))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x16521),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x16522),f195(a1))))
% 19.04/19.06 [1665]~P37(x16651)+E(f12(x16651,x16651,f12(x16651,f166(x16651,x16651),f203(x16651),f12(x16651,x16651,f12(x16651,f166(x16651,x16651),f203(x16651),f195(x16651)),f12(a1,x16651,f191(x16651),x16652))),f12(a1,x16651,f191(x16651),x16652)),f12(a1,x16651,f191(x16651),f12(a1,a1,a3,x16652)))
% 19.04/19.06 [1676]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16761),x16762))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x16762)),x16761))
% 19.04/19.06 [1700]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,x17001)),f12(a185,a185,a204,x17002)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x17001),x17002))
% 19.04/19.06 [1701]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x17011)),f12(a185,a185,a204,x17012)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x17011),x17012))
% 19.04/19.06 [1703]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,a3,x17031)),f12(a1,a1,a3,x17032)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17031),x17032))
% 19.04/19.06 [1705]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,a3,x17051)),f12(a1,a1,a3,x17052)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x17051),x17052))
% 19.04/19.06 [1709]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x17091),x17092))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a185,a1,f205(a1),x17091)),f12(a185,a1,f205(a1),x17092)))
% 19.04/19.06 [1711]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x17111),x17112))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,f205(a1),x17111)),f12(a185,a1,f205(a1),x17112)))
% 19.04/19.06 [1712]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17121),x17122))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f191(a1),x17121)),f12(a1,a1,f191(a1),x17122)))
% 19.04/19.06 [1713]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x17131),x17132))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f191(a1),x17131)),f12(a1,a1,f191(a1),x17132)))
% 19.04/19.06 [1731]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17311),x17312))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x17311),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x17312),f195(a1))))
% 19.04/19.06 [1732]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x17321),x17322))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17321),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x17322),f195(a1))))
% 19.04/19.06 [1808]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x18081),x18082)),f183(a1)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x18081),x18082))
% 19.04/19.06 [1869]E(f12(f166(x18691,a2),a185,f12(a185,f166(f166(x18691,a2),a185),f12(f166(x18691,a185),f166(a185,f166(f166(x18691,a2),a185)),f12(f166(a185,f166(a185,a185)),f166(f166(x18691,a185),f166(a185,f166(f166(x18691,a2),a185))),f178(a185,x18691),f203(a185)),f12(a185,f166(x18691,a185),f14(a185,x18691),f195(a185))),f183(a185)),x18692),f12(f166(x18691,a2),a185,f167(x18691),x18692))+~P21(f12(f166(x18691,a2),a2,f175(x18691),x18692))
% 19.04/19.06 [1949]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x19491),x19492)),f183(a1)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x19491),x19492))
% 19.04/19.06 [1159]~P37(x11591)+E(f12(x11591,x11591,f12(x11591,f166(x11591,x11591),f203(x11591),f12(a1,x11591,f191(x11591),a184)),x11592),f12(x11591,x11591,f7(x11591),x11592))
% 19.04/19.06 [1262]E(f12(a1,a1,f4(a1),x12621),f195(a1))+~E(f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x12621),x12622)),f195(a1))
% 19.04/19.06 [1348]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x13481),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x13482),x13481)),x13482)+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13482),x13481))
% 19.04/19.06 [1353]~P37(x13531)+E(f12(x13531,x13531,f12(x13531,f166(x13531,x13531),f216(x13531),f12(a1,x13531,f191(x13531),f12(a1,a1,a3,a184))),x13532),f12(x13531,x13531,f7(x13531),x13532))
% 19.04/19.06 [1438]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x14381),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x14381),x14382)),x14382)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14382),x14381))
% 19.04/19.06 [1439]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x14391),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x14392),x14391)),x14392)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14391),x14392))
% 19.04/19.06 [1440]E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x14401),f12(a185,a1,f205(a1),f12(a185,a185,a204,f48(x14401,x14402)))),x14402)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x14401),x14402))
% 19.04/19.06 [1447]~P29(x14471)+P21(f12(x14471,a2,f12(x14471,f166(x14471,a2),f199(x14471),f183(x14471)),f12(x14471,x14471,f12(x14471,f166(x14471,x14471),f216(x14471),x14472),x14472)))
% 19.04/19.06 [1448]~P12(x14481)+E(f12(x14481,x14481,f12(x14481,f166(x14481,x14481),f203(x14481),x14482),x14482),f12(x14481,x14481,f12(x14481,f166(x14481,x14481),f216(x14481),f12(x14481,x14481,f12(x14481,f166(x14481,x14481),f203(x14481),f195(x14481)),f195(x14481))),x14482))
% 19.04/19.06 [1485]~P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),f199(f166(a217,a2)),x14852),x14851))+P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),a198,x14851),x14852))
% 19.04/19.06 [1486]~P37(x14861)+E(f12(x14861,x14861,f12(x14861,f166(x14861,x14861),f203(x14861),f195(x14861)),f12(a1,x14861,f191(x14861),x14862)),f12(a1,x14861,f191(x14861),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,a3,a184)),x14862)))
% 19.04/19.06 [1555]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,a204,x15551)),x15552),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15551),x15552)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15552),x15551))
% 19.04/19.06 [1586]E(f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,f205(a1),x15861)),f12(a185,a1,f205(a1),x15862)),f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15861),x15862)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15862),x15861))
% 19.04/19.06 [1653]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16532),x16531))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x16531),x16532)))
% 19.04/19.06 [1674]E(f12(f166(a185,a2),f166(x16741,a2),f12(f166(a185,x16741),f166(f166(a185,a2),f166(x16741,a2)),f181(a185,x16741),f114(x16741,x16742)),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),f115(x16741,x16742)))),f12(f166(x16741,a2),f166(x16741,a2),f7(f166(x16741,a2)),x16742))+~P21(f12(f166(x16741,a2),a2,f175(x16741),x16742))
% 19.04/19.06 [1733]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x17331),x17332))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x17332),x17331)))
% 19.04/19.06 [1735]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x17351))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x17352),x17351)))
% 19.04/19.06 [1736]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x17361))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x17361),x17362)))
% 19.04/19.06 [1810]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x18101),x18102))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x18101),f195(a1))),x18102))
% 19.04/19.06 [1877]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x18771)),x18772))+P21(f12(a185,a2,f12(f166(a185,a2),f166(a185,a2),f12(a2,f166(f166(a185,a2),f166(a185,a2)),f193(a2),a13),f12(a185,f166(a185,a2),f199(a185),x18771)),x18772))
% 19.04/19.06 [1950]P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x19501),x19502))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19501),f195(a1))),x19502))
% 19.04/19.06 [1951]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x19511)),x19512))+~P21(f12(a185,a2,f12(f166(a185,a2),f166(a185,a2),f12(a2,f166(f166(a185,a2),f166(a185,a2)),f193(a2),a13),f12(a185,f166(a185,a2),f199(a185),x19511)),x19512))
% 19.04/19.06 [1953]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,f183(a185))),x19531))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,f183(a185))),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19532),x19531)))
% 19.04/19.06 [1954]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,f183(a185))),x19541))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,f183(a185))),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19541),x19542)))
% 19.04/19.06 [1959]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x19591))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19591),f12(a185,a185,a204,x19592))),x19591))
% 19.04/19.06 [1966]P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),x19661),x19662))+~P21(f12(f166(a1,a2),a2,f12(a1,f166(f166(a1,a2),a2),f189(a1),f12(a185,a1,f205(a1),x19661)),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x19662)))
% 19.04/19.06 [2046]~P21(f12(f166(a185,a2),a2,f12(f166(a185,a2),f166(f166(a185,a2),a2),f200(f166(a185,a2)),x20461),x20462))+P21(f12(f166(a1,a2),a2,f12(f166(a1,a2),f166(f166(a1,a2),a2),f200(f166(a1,a2)),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x20461)),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x20462)))
% 19.04/19.06 [2139]P21(f12(f166(a185,a2),a2,f12(f166(a185,a2),f166(f166(a185,a2),a2),f200(f166(a185,a2)),x21391),x21392))+~P21(f12(f166(a1,a2),a2,f12(f166(a1,a2),f166(f166(a1,a2),a2),f200(f166(a1,a2)),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x21391)),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x21392)))
% 19.04/19.06 [2140]P21(f12(f166(a185,a2),a2,f12(f166(a185,a2),f166(f166(a185,a2),a2),f199(f166(a185,a2)),x21401),x21402))+~P21(f12(f166(a1,a2),a2,f12(f166(a1,a2),f166(f166(a1,a2),a2),f199(f166(a1,a2)),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x21401)),f12(f166(a185,a2),f166(a1,a2),f12(f166(a185,a1),f166(f166(a185,a2),f166(a1,a2)),f181(a185,a1),f205(a1)),x21402)))
% 19.04/19.06 [2239]P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),a198,x22391),f12(f166(a217,a2),f166(a217,a2),f12(a217,f166(f166(a217,a2),f166(a217,a2)),f182(a217),f12(a201,a217,a187,x22392)),f6(f166(a217,a2)))))+~P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),a198,f12(f166(a217,a2),f166(a217,a2),f12(a217,f166(f166(a217,a2),f166(a217,a2)),f182(a217),f12(a201,a217,a187,x22392)),x22391)),f12(f166(a217,a2),f166(a217,a2),f12(a217,f166(f166(a217,a2),f166(a217,a2)),f182(a217),f12(a8,a217,a188,f12(f196(a8),a8,f211(a8),f12(a201,f196(a8),a5,x22392)))),f6(f166(a217,a2)))))
% 19.04/19.06 [1570]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15701),x15702)),x15702),x15701)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15702),x15701))
% 19.04/19.06 [1612]E(f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x16121)),x16122)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f195(a185)),x16122))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x16121)))
% 19.04/19.06 [1730]E(x17301,f183(a185))+E(f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x17301),f195(a185))),x17302)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x17301),x17302))
% 19.04/19.06 [1737]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),f12(a1,a1,a210,x17371))),x17372),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x17371)),x17372)))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x17371)))
% 19.04/19.06 [1761]E(x17611,f183(a185))+E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x17612),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x17611),f195(a185))),x17612)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x17611),x17612))
% 19.04/19.06 [2252]~E(f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(a2,a2)),f166(f166(a185,a2),f166(a185,a2)),f15(a185,a2,a2),f12(f166(a185,a2),f166(a185,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a185,a2),f166(a185,f166(a2,a2))),f10(a2,f166(a2,a2),a185),a168),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(f166(a185,a2),a2)),f166(f166(a185,a2),f166(a185,a2)),f11(a185,f166(a185,a2),a2),f189(a185)),x22521))),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),f12(a185,a185,a204,x22522))))),f183(a185))+~P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),f183(a185)),x22521))
% 19.04/19.06 [2080]~P21(f12(f166(x20801,a2),a2,f175(x20801),x20802))+P21(f12(f166(f166(x20801,a2),a2),a2,f175(f166(x20801,a2)),f12(f166(f166(x20801,a2),a2),f166(f166(x20801,a2),a2),f9(f166(x20801,a2)),f12(f166(x20801,a2),f166(f166(x20801,a2),a2),f12(f166(f166(x20801,a2),f166(f166(x20801,a2),a2)),f166(f166(x20801,a2),f166(f166(x20801,a2),a2)),f11(f166(x20801,a2),f166(x20801,a2),a2),f199(f166(x20801,a2))),x20802))))
% 19.04/19.06 [2185]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f30(x21851,x21852)))+E(f12(f166(a1,a2),f166(a1,a2),f9(a1),f12(f166(a1,a2),f166(a1,a2),f12(f166(a1,f166(a2,a2)),f166(f166(a1,a2),f166(a1,a2)),f15(a1,a2,a2),f12(f166(a1,a2),f166(a1,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a1,a2),f166(a1,f166(a2,a2))),f10(a2,f166(a2,a2),a1),a168),f12(a1,f166(a1,a2),f199(a1),f183(a1)))),x21851)),f12(f166(a1,a2),f166(a1,a2),f9(a1),f12(f166(a1,a2),f166(a1,a2),f12(f166(a1,f166(a2,a2)),f166(f166(a1,a2),f166(a1,a2)),f15(a1,a2,a2),f12(f166(a1,a2),f166(a1,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a1,a2),f166(a1,f166(a2,a2))),f10(a2,f166(a2,a2),a1),a168),f12(a1,f166(a1,a2),f199(a1),f183(a1)))),x21852)))
% 19.04/19.06 [2283]P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),f183(a185)),x22831))+E(f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(a2,a2)),f166(f166(a185,a2),f166(a185,a2)),f15(a185,a2,a2),f12(f166(a185,a2),f166(a185,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a185,a2),f166(a185,f166(a2,a2))),f10(a2,f166(a2,a2),a185),a168),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(f166(a185,a2),a2)),f166(f166(a185,a2),f166(a185,a2)),f11(a185,f166(a185,a2),a2),f12(f166(a185,a185),f166(a185,f166(f166(a185,a2),a2)),f12(f166(a185,f166(f166(a185,a2),a2)),f166(f166(a185,a185),f166(a185,f166(f166(a185,a2),a2))),f10(a185,f166(f166(a185,a2),a2),a185),f189(a185)),a204)),x22831))),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x22832)))),f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(a2,a2)),f166(f166(a185,a2),f166(a185,a2)),f15(a185,a2,a2),f12(f166(a185,a2),f166(a185,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a185,a2),f166(a185,f166(a2,a2))),f10(a2,f166(a2,a2),a185),a168),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(f166(a185,a2),a2)),f166(f166(a185,a2),f166(a185,a2)),f11(a185,f166(a185,a2),a2),f189(a185)),x22831))),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),f12(a185,a185,a204,x22832))))))
% 19.04/19.06 [2219]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f89(x22192,x22191)),f12(a185,a185,x22191,f89(x22192,x22191))))+P21(f12(f166(a185,a2),a2,f175(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f12(f166(a185,a185),f166(a185,f166(a185,a2)),f12(f166(a185,f166(a185,a2)),f166(f166(a185,a185),f166(a185,f166(a185,a2))),f10(a185,f166(a185,a2),a185),f199(a185)),x22191)),x22192))))
% 19.04/19.06 [2288]~P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),f183(a185)),x22881))+E(f12(a185,a185,a204,f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(a2,a2)),f166(f166(a185,a2),f166(a185,a2)),f15(a185,a2,a2),f12(f166(a185,a2),f166(a185,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a185,a2),f166(a185,f166(a2,a2))),f10(a2,f166(a2,a2),a185),a168),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(f166(a185,a2),a2)),f166(f166(a185,a2),f166(a185,a2)),f11(a185,f166(a185,a2),a2),f12(f166(a185,a185),f166(a185,f166(f166(a185,a2),a2)),f12(f166(a185,f166(f166(a185,a2),a2)),f166(f166(a185,a185),f166(a185,f166(f166(a185,a2),a2))),f10(a185,f166(f166(a185,a2),a2),a185),f189(a185)),a204)),x22881))),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x22882))))),f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(a2,a2)),f166(f166(a185,a2),f166(a185,a2)),f15(a185,a2,a2),f12(f166(a185,a2),f166(a185,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a185,a2),f166(a185,f166(a2,a2))),f10(a2,f166(a2,a2),a185),a168),f12(f166(a185,a2),f166(a185,a2),f12(f166(a185,f166(f166(a185,a2),a2)),f166(f166(a185,a2),f166(a185,a2)),f11(a185,f166(a185,a2),a2),f189(a185)),x22881))),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),f12(a185,a185,a204,x22882))))))
% 19.04/19.06 [1077]E(f12(f166(x10771,a2),a185,f167(x10771),f75(x10771,x10772,x10773)),x10773)+~E(f12(f166(x10771,a2),a185,f167(x10771),x10772),f12(a185,a185,a204,x10773))
% 19.04/19.06 [1078]E(f12(f166(x10781,a2),a185,f167(x10781),f152(x10781,x10782,x10783)),x10783)+~E(f12(f166(x10781,a2),a185,f167(x10781),x10782),f12(a185,a185,a204,x10783))
% 19.04/19.06 [1093]~E(f12(f166(x10931,a2),f166(x10931,a2),f9(x10931),x10932),f6(f166(x10931,a2)))+~P21(f12(x10931,a2,x10932,x10933))
% 19.04/19.06 [1428]~E(f12(f166(x14281,a2),a185,f167(x14281),x14282),f12(a185,a185,a204,x14283))+~P21(f12(f166(x14281,a2),a2,f12(x14281,f166(f166(x14281,a2),a2),f189(x14281),f118(x14281,x14282,x14283)),f75(x14281,x14282,x14283)))
% 19.04/19.06 [1429]~E(f12(f166(x14291,a2),a185,f167(x14291),x14292),f12(a185,a185,a204,x14293))+~P21(f12(f166(x14291,a2),a2,f12(x14291,f166(f166(x14291,a2),a2),f189(x14291),f156(x14291,x14292,x14293)),f152(x14291,x14292,x14293)))
% 19.04/19.06 [2224]~P29(x22241)+~P21(f12(x22241,a2,f12(x22241,f166(x22241,a2),f200(x22241),f12(x22241,x22241,f12(x22241,f166(x22241,x22241),f203(x22241),f12(x22241,x22241,f12(x22241,f166(x22241,x22241),f216(x22241),x22242),x22242)),f12(x22241,x22241,f12(x22241,f166(x22241,x22241),f216(x22241),x22243),x22243))),f183(x22241)))
% 19.04/19.06 [1000]~P8(x10002)+E(f12(x10001,x10002,f6(f166(x10001,x10002)),x10003),f6(x10002))
% 19.04/19.06 [1112]~E(x11122,f183(a185))+E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11121),x11122),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11123),x11122))
% 19.04/19.06 [1114]~E(x11141,f183(a185))+E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11141),x11142),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11141),x11143))
% 19.04/19.06 [1122]~P12(x11221)+E(f12(x11221,x11221,f12(x11221,f166(x11221,x11221),f203(x11221),x11222),x11223),f12(x11221,x11221,f12(x11221,f166(x11221,x11221),f203(x11221),x11223),x11222))
% 19.04/19.06 [1123]~P12(x11231)+E(f12(x11231,x11231,f12(x11231,f166(x11231,x11231),f216(x11231),x11232),x11233),f12(x11231,x11231,f12(x11231,f166(x11231,x11231),f216(x11231),x11233),x11232))
% 19.04/19.06 [1170]~E(f12(x11701,x11701,f7(x11701),x11702),f12(x11701,x11701,f7(x11701),x11703))+P21(f12(x11701,a2,f12(x11701,f166(x11701,a2),f171(x11701),x11702),x11703))
% 19.04/19.06 [1183]E(x11831,x11832)+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x11833),x11831),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x11833),x11832))
% 19.04/19.06 [1184]E(x11841,x11842)+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x11841),x11843),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x11842),x11843))
% 19.04/19.06 [1198]~P59(x11981)+E(f12(x11981,x11981,f12(a185,f166(x11981,x11981),f12(f166(x11981,x11981),f166(a185,f166(x11981,x11981)),f207(x11981),x11982),f183(a185)),x11983),f12(x11981,x11981,f7(x11981),x11983))
% 19.04/19.06 [1201]~E(f12(f166(x12011,a2),a185,f167(x12011),x12012),f12(a185,a185,a204,x12013))+E(f12(f166(x12011,a2),f166(x12011,a2),f12(x12011,f166(f166(x12011,a2),f166(x12011,a2)),f182(x12011),f118(x12011,x12012,x12013)),f75(x12011,x12012,x12013)),f12(f166(x12011,a2),f166(x12011,a2),f7(f166(x12011,a2)),x12012))
% 19.04/19.06 [1202]~E(f12(f166(x12021,a2),a185,f167(x12021),x12022),f12(a185,a185,a204,x12023))+E(f12(f166(x12021,a2),f166(x12021,a2),f12(x12021,f166(f166(x12021,a2),f166(x12021,a2)),f182(x12021),f156(x12021,x12022,x12023)),f152(x12021,x12022,x12023)),f12(f166(x12021,a2),f166(x12021,a2),f7(f166(x12021,a2)),x12022))
% 19.04/19.06 [1212]~P21(f12(x12121,a2,x12123,x12122))+P21(f12(f166(x12121,a2),a2,f12(x12121,f166(f166(x12121,a2),a2),f189(x12121),x12122),x12123))
% 19.04/19.06 [1230]~E(x12302,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x12301),x12303))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x12301),x12302))
% 19.04/19.06 [1245]E(f12(x12451,x12451,f7(x12451),x12452),f12(x12451,x12451,f7(x12451),x12453))+~P21(f12(x12451,a2,f12(x12451,f166(x12451,a2),f171(x12451),x12452),x12453))
% 19.04/19.06 [1307]P21(f12(x13071,a2,x13072,x13073))+~P21(f12(f166(x13071,a2),a2,f12(x13071,f166(f166(x13071,a2),a2),f189(x13071),x13073),x13072))
% 19.04/19.06 [1313]~E(f12(f166(x13131,a2),f166(x13131,a2),f7(f166(x13131,a2)),x13132),f6(f166(x13131,a2)))+~P21(f12(f166(x13131,a2),a2,f12(x13131,f166(f166(x13131,a2),a2),f189(x13131),x13133),x13132))
% 19.04/19.06 [1318]~E(x13182,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x13181),f12(a185,a1,f205(a1),x13183)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x13181),x13182))
% 19.04/19.06 [1351]E(f12(x13511,x13511,f7(x13511),x13512),f12(x13511,x13511,f7(x13511),x13513))+~E(f12(f166(x13511,a2),f166(x13511,a2),f12(x13511,f166(f166(x13511,a2),f166(x13511,a2)),f182(x13511),x13512),f6(f166(x13511,a2))),f12(f166(x13511,a2),f166(x13511,a2),f12(x13511,f166(f166(x13511,a2),f166(x13511,a2)),f182(x13511),x13513),f6(f166(x13511,a2))))
% 19.04/19.06 [1389]E(f12(f166(x13891,a2),f166(x13891,a2),f12(x13891,f166(f166(x13891,a2),f166(x13891,a2)),f182(x13891),x13892),x13893),f12(f166(x13891,a2),f166(x13891,a2),f7(f166(x13891,a2)),x13893))+~P21(f12(f166(x13891,a2),a2,f12(x13891,f166(f166(x13891,a2),a2),f189(x13891),x13892),x13893))
% 19.04/19.06 [1488]~E(x14882,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x14881),f12(a185,a1,f205(a1),f12(a185,a185,a204,x14883))))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x14881),x14882))
% 19.04/19.06 [1507]E(x15071,x15072)+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,a204,x15073)),x15071),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,a204,x15073)),x15072))
% 19.04/19.06 [1572]P21(f12(x15721,a2,x15722,f136(x15721,x15723,x15722)))+P21(f12(f166(x15721,a2),a2,f12(f166(x15721,a2),f166(f166(x15721,a2),a2),f199(f166(x15721,a2)),f12(f166(x15721,a2),f166(x15721,a2),f9(x15721),x15722)),f12(f166(x15721,a2),f166(x15721,a2),f9(x15721),x15723)))
% 19.04/19.06 [1607]~P21(f12(x16071,a2,x16073,f136(x16071,x16073,x16072)))+P21(f12(f166(x16071,a2),a2,f12(f166(x16071,a2),f166(f166(x16071,a2),a2),f199(f166(x16071,a2)),f12(f166(x16071,a2),f166(x16071,a2),f9(x16071),x16072)),f12(f166(x16071,a2),f166(x16071,a2),f9(x16071),x16073)))
% 19.04/19.06 [2213]~P21(f12(f166(x22131,a2),a2,f175(x22131),x22132))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(f166(x22131,a2),a185,f167(x22131),f12(f166(x22131,a2),f166(x22131,a2),f12(f166(x22131,a2),f166(f166(x22131,a2),f166(x22131,a2)),f190(f166(x22131,a2)),x22132),f12(f166(x22131,a2),f166(x22131,a2),f12(x22131,f166(f166(x22131,a2),f166(x22131,a2)),f182(x22131),x22133),f6(f166(x22131,a2)))))),f12(f166(x22131,a2),a185,f167(x22131),x22132)))
% 19.04/19.06 [1275]~E(f12(f166(x12751,a2),f166(x12751,a2),f7(f166(x12751,a2)),x12753),f12(f166(x12751,a2),f166(x12751,a2),f7(f166(x12751,a2)),x12752))+P21(f12(f166(x12751,a2),a2,f12(f166(x12751,a2),f166(f166(x12751,a2),a2),f199(f166(x12751,a2)),x12752),x12753))
% 19.04/19.06 [1281]~E(f12(f166(x12811,a2),f166(x12811,a2),f7(f166(x12811,a2)),x12812),f12(f166(x12811,a2),f166(x12811,a2),f7(f166(x12811,a2)),x12813))+P21(f12(f166(x12811,a2),a2,f12(f166(x12811,a2),f166(f166(x12811,a2),a2),f199(f166(x12811,a2)),x12812),x12813))
% 19.04/19.06 [1290]~P6(x12901)+E(f12(x12901,x12901,f12(x12901,f166(x12901,x12901),f216(x12901),x12902),f12(x12901,x12901,f12(x12901,f166(x12901,x12901),f216(x12901),x12902),x12903)),f12(x12901,x12901,f12(x12901,f166(x12901,x12901),f216(x12901),x12902),x12903))
% 19.04/19.06 [1336]~P1(x13361)+E(f12(x13361,x13361,f4(x13361),f12(x13361,x13361,f12(x13361,f166(x13361,x13361),f190(x13361),x13362),x13363)),f12(x13361,x13361,f4(x13361),f12(x13361,x13361,f12(x13361,f166(x13361,x13361),f190(x13361),x13363),x13362)))
% 19.04/19.06 [1380]~P59(x13801)+E(f12(x13801,x13801,f12(x13801,f166(x13801,x13801),f203(x13801),f12(a185,x13801,f205(x13801),x13802)),f12(a185,x13801,f205(x13801),x13803)),f12(a185,x13801,f205(x13801),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x13802),x13803)))
% 19.04/19.06 [1381]~P59(x13811)+E(f12(x13811,x13811,f12(x13811,f166(x13811,x13811),f216(x13811),f12(a185,x13811,f205(x13811),x13812)),f12(a185,x13811,f205(x13811),x13813)),f12(a185,x13811,f205(x13811),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x13812),x13813)))
% 19.04/19.06 [1382]~P37(x13821)+E(f12(x13821,x13821,f12(x13821,f166(x13821,x13821),f190(x13821),f12(a1,x13821,f191(x13821),x13822)),f12(a1,x13821,f191(x13821),x13823)),f12(a1,x13821,f191(x13821),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x13822),x13823)))
% 19.04/19.06 [1385]~P37(x13851)+E(f12(x13851,x13851,f12(x13851,f166(x13851,x13851),f203(x13851),f12(a1,x13851,f191(x13851),x13852)),f12(a1,x13851,f191(x13851),x13853)),f12(a1,x13851,f191(x13851),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x13852),x13853)))
% 19.04/19.06 [1386]~P37(x13861)+E(f12(x13861,x13861,f12(x13861,f166(x13861,x13861),f216(x13861),f12(a1,x13861,f191(x13861),x13862)),f12(a1,x13861,f191(x13861),x13863)),f12(a1,x13861,f191(x13861),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x13862),x13863)))
% 19.04/19.06 [1387]~P27(x13871)+E(f12(x13871,x13871,f12(x13871,f166(x13871,x13871),f216(x13871),f12(x13871,x13871,f4(x13871),x13872)),f12(x13871,x13871,f4(x13871),x13873)),f12(x13871,x13871,f4(x13871),f12(x13871,x13871,f12(x13871,f166(x13871,x13871),f216(x13871),x13872),x13873)))
% 19.04/19.06 [1400]P21(f12(f166(x14001,a2),a2,f12(x14001,f166(f166(x14001,a2),a2),f189(x14001),f37(x14001,x14002,x14003)),x14003))+P21(f12(f166(x14001,a2),a2,f12(f166(x14001,a2),f166(f166(x14001,a2),a2),f199(f166(x14001,a2)),x14003),x14002))
% 19.04/19.06 [1401]~E(f12(f166(x14011,a2),f166(x14011,a2),f7(f166(x14011,a2)),x14012),f12(f166(x14011,a2),f166(x14011,a2),f7(f166(x14011,a2)),x14013))+~P21(f12(f166(x14011,a2),a2,f12(f166(x14011,a2),f166(f166(x14011,a2),a2),f200(f166(x14011,a2)),x14012),x14013))
% 19.04/19.06 [1402]~E(x14022,f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x14021),x14023)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x14021),x14022))
% 19.04/19.06 [1503]~P21(f12(f166(x15031,a2),a2,f12(f166(x15031,a2),f166(f166(x15031,a2),a2),f200(f166(x15031,a2)),x15032),x15033))+P21(f12(f166(x15031,a2),a2,f12(f166(x15031,a2),f166(f166(x15031,a2),a2),f199(f166(x15031,a2)),x15032),x15033))
% 19.04/19.06 [1524]~P21(f12(f166(x15241,a2),a2,f175(x15241),x15243))+P21(f12(f166(x15241,a2),a2,f175(x15241),f12(f166(x15241,a2),f166(x15241,a2),f12(x15241,f166(f166(x15241,a2),f166(x15241,a2)),f182(x15241),x15242),x15243)))
% 19.04/19.06 [1530]~P21(f12(f166(x15301,a2),a2,f12(x15301,f166(f166(x15301,a2),a2),f189(x15301),f37(x15301,x15303,x15302)),x15303))+P21(f12(f166(x15301,a2),a2,f12(f166(x15301,a2),f166(f166(x15301,a2),a2),f199(f166(x15301,a2)),x15302),x15303))
% 19.04/19.06 [1582]~P12(x15821)+E(f12(x15821,x15821,f12(x15821,f166(x15821,x15821),f203(x15821),x15822),f12(x15821,x15821,f12(x15821,f166(x15821,x15821),f216(x15821),x15823),x15822)),f12(x15821,x15821,f12(x15821,f166(x15821,x15821),f216(x15821),f12(x15821,x15821,f12(x15821,f166(x15821,x15821),f203(x15821),x15823),f195(x15821))),x15822))
% 19.04/19.06 [1643]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16431),x16433))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16431),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x16432),x16433)))
% 19.04/19.06 [1645]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16451),x16452))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16451),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x16452),x16453)))
% 19.04/19.06 [1647]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16471),x16473))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16471),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x16472),x16473)))
% 19.04/19.06 [1649]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16491),x16492))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16491),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x16492),x16493)))
% 19.04/19.06 [1657]~P1(x16571)+E(f12(x16571,x16571,f4(x16571),f12(x16571,x16571,f12(x16571,f166(x16571,x16571),f203(x16571),f12(x16571,x16571,f4(x16571),x16572)),f12(x16571,x16571,f4(x16571),x16573))),f12(x16571,x16571,f12(x16571,f166(x16571,x16571),f203(x16571),f12(x16571,x16571,f4(x16571),x16572)),f12(x16571,x16571,f4(x16571),x16573)))
% 19.04/19.06 [1675]P21(f12(f166(x16751,a2),a2,f175(x16751),x16752))+~P21(f12(f166(x16751,a2),a2,f175(x16751),f12(f166(x16751,a2),f166(x16751,a2),f12(x16751,f166(f166(x16751,a2),f166(x16751,a2)),f182(x16751),x16753),x16752)))
% 19.04/19.06 [1766]E(f12(f166(x17661,a2),f166(x17661,a2),f12(f166(x17661,a2),f166(f166(x17661,a2),f166(x17661,a2)),f190(f166(x17661,a2)),f12(f166(x17661,a2),f166(x17661,a2),f12(x17661,f166(f166(x17661,a2),f166(x17661,a2)),f182(x17661),x17662),x17663)),f12(f166(x17661,a2),f166(x17661,a2),f12(x17661,f166(f166(x17661,a2),f166(x17661,a2)),f182(x17661),x17662),f6(f166(x17661,a2)))),f12(f166(x17661,a2),f166(x17661,a2),f7(f166(x17661,a2)),x17663))+P21(f12(f166(x17661,a2),a2,f12(x17661,f166(f166(x17661,a2),a2),f189(x17661),x17662),x17663))
% 19.04/19.06 [1802]E(f12(x18021,x18021,f7(x18021),x18022),f12(x18021,x18021,f7(x18021),x18023))+~P21(f12(f166(x18021,a2),a2,f12(x18021,f166(f166(x18021,a2),a2),f189(x18021),x18022),f12(f166(x18021,a2),f166(x18021,a2),f12(x18021,f166(f166(x18021,a2),f166(x18021,a2)),f182(x18021),x18023),f6(f166(x18021,a2)))))
% 19.04/19.06 [1850]E(f12(f166(x18501,a2),x18501,f12(x18501,f166(f166(x18501,a2),x18501),f197(x18501),x18502),x18503),f12(x18501,x18501,f7(x18501),x18502))+~P21(f12(f166(x18501,a2),a2,f12(f166(x18501,a2),f166(f166(x18501,a2),a2),f199(f166(x18501,a2)),x18503),f12(f166(x18501,a2),f166(x18501,a2),f12(x18501,f166(f166(x18501,a2),f166(x18501,a2)),f182(x18501),x18502),f6(f166(x18501,a2)))))
% 19.04/19.06 [1882]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x18821))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x18822),x18821)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x18823),x18821)))
% 19.04/19.06 [1883]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x18831))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x18831),x18832)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x18831),x18833)))
% 19.04/19.06 [1914]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19142),x19143))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19141),x19142)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19141),x19143)))
% 19.04/19.06 [1915]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19151),x19153))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19151),x19152)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19153),x19152)))
% 19.04/19.06 [1916]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19163),x19162))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19161),x19162)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19161),x19163)))
% 19.04/19.06 [1917]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19171),x19173))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19171),x19172)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19173),x19172)))
% 19.04/19.06 [1918]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19182),x19183))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19181),x19182)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19181),x19183)))
% 19.04/19.06 [1919]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19191),x19193))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19191),x19192)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19193),x19192)))
% 19.04/19.06 [1921]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19212),x19213))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19211),x19212)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19211),x19213)))
% 19.04/19.06 [1923]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19231),x19233))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19231),x19232)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19233),x19232)))
% 19.04/19.06 [1924]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x19241),x19243))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19241),x19242)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19243),x19242)))
% 19.04/19.06 [1925]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x19252),x19253))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19251),x19252)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19251),x19253)))
% 19.04/19.06 [2057]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20571),x20572))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20573),x20571)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20573),x20572)))
% 19.04/19.06 [2058]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20581),x20582))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20583),x20581)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20583),x20582)))
% 19.04/19.06 [2059]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20591),x20592))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20591),x20593)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20592),x20593)))
% 19.04/19.06 [2060]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20601),x20602))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20603),x20601)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20603),x20602)))
% 19.04/19.06 [2061]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x20611))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20612),x20611)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20613),x20611)))
% 19.04/19.06 [2062]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x20621))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20621),x20622)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20621),x20623)))
% 19.04/19.06 [2134]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x21342),x21343))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,a204,x21341)),x21342)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,a204,x21341)),x21343)))
% 19.04/19.06 [2137]~P21(f12(f166(x21371,a2),a2,f12(f166(x21371,a2),f166(f166(x21371,a2),a2),f199(f166(x21371,a2)),x21372),x21373))+P21(f12(f166(x21371,a2),a2,f12(f166(x21371,a2),f166(f166(x21371,a2),a2),f199(f166(x21371,a2)),f12(f166(x21371,a2),f166(x21371,a2),f12(f166(x21371,f166(f166(x21371,a2),a2)),f166(f166(x21371,a2),f166(x21371,a2)),f11(x21371,f166(x21371,a2),a2),f189(x21371)),x21372)),f12(f166(x21371,a2),f166(x21371,a2),f12(f166(x21371,f166(f166(x21371,a2),a2)),f166(f166(x21371,a2),f166(x21371,a2)),f11(x21371,f166(x21371,a2),a2),f189(x21371)),x21373)))
% 19.04/19.06 [2141]~P1(x21411)+P21(f12(x21411,a2,f12(x21411,f166(x21411,a2),f199(x21411),f12(x21411,x21411,f4(x21411),f12(x21411,x21411,f12(x21411,f166(x21411,x21411),f190(x21411),x21412),x21413))),f12(x21411,x21411,f12(x21411,f166(x21411,x21411),f203(x21411),f12(x21411,x21411,f4(x21411),x21412)),f12(x21411,x21411,f4(x21411),x21413))))
% 19.04/19.06 [2142]~P1(x21421)+P21(f12(x21421,a2,f12(x21421,f166(x21421,a2),f199(x21421),f12(x21421,x21421,f4(x21421),f12(x21421,x21421,f12(x21421,f166(x21421,x21421),f203(x21421),x21422),x21423))),f12(x21421,x21421,f12(x21421,f166(x21421,x21421),f203(x21421),f12(x21421,x21421,f4(x21421),x21422)),f12(x21421,x21421,f4(x21421),x21423))))
% 19.04/19.06 [2175]~P21(f12(f166(x21751,a2),a2,f12(f166(x21751,a2),f166(f166(x21751,a2),a2),f199(f166(x21751,a2)),f12(f166(x21751,a2),f166(x21751,a2),f12(f166(x21751,f166(f166(x21751,a2),a2)),f166(f166(x21751,a2),f166(x21751,a2)),f11(x21751,f166(x21751,a2),a2),f189(x21751)),x21752)),f12(f166(x21751,a2),f166(x21751,a2),f12(f166(x21751,f166(f166(x21751,a2),a2)),f166(f166(x21751,a2),f166(x21751,a2)),f11(x21751,f166(x21751,a2),a2),f189(x21751)),x21753)))+P21(f12(f166(x21751,a2),a2,f12(f166(x21751,a2),f166(f166(x21751,a2),a2),f199(f166(x21751,a2)),x21752),x21753))
% 19.04/19.06 [2177]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21771),x21772))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,a204,x21773)),x21771)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,a204,x21773)),x21772)))
% 19.04/19.06 [1393]~P17(x13931)+E(f12(x13931,x13931,f12(x13931,f166(x13931,x13931),f190(x13931),f12(x13931,x13931,f12(x13931,f166(x13931,x13931),f203(x13931),x13932),x13933)),x13933),f12(x13931,x13931,f7(x13931),x13932))
% 19.04/19.06 [1394]~P17(x13941)+E(f12(x13941,x13941,f12(x13941,f166(x13941,x13941),f203(x13941),f12(x13941,x13941,f12(x13941,f166(x13941,x13941),f190(x13941),x13942),x13943)),x13943),f12(x13941,x13941,f7(x13941),x13942))
% 19.04/19.06 [1408]P21(x14081)+E(f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f12(a2,f166(a185,f166(a185,a185)),f180(a185),x14081),x14082),x14083)),f12(a185,a1,f205(a1),x14083))
% 19.04/19.06 [1409]~P21(x14091)+E(f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f12(a2,f166(a185,f166(a185,a185)),f180(a185),x14091),x14092),x14093)),f12(a185,a1,f205(a1),x14092))
% 19.04/19.06 [1560]~P21(f12(f166(x15601,a2),a2,f175(x15601),x15602))+P21(f12(f166(x15601,a2),a2,f175(x15601),f12(f166(x15601,a2),f166(x15601,a2),f12(f166(x15601,a2),f166(f166(x15601,a2),f166(x15601,a2)),f190(f166(x15601,a2)),x15602),x15603)))
% 19.04/19.06 [1693]~P12(x16931)+E(f12(x16931,x16931,f12(x16931,f166(x16931,x16931),f203(x16931),f12(x16931,x16931,f12(x16931,f166(x16931,x16931),f216(x16931),x16932),x16933)),x16933),f12(x16931,x16931,f12(x16931,f166(x16931,x16931),f216(x16931),f12(x16931,x16931,f12(x16931,f166(x16931,x16931),f203(x16931),x16932),f195(x16931))),x16933))
% 19.04/19.06 [1714]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x17141),x17142)),x17143),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x17141),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x17143),x17142)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x17142),x17143))
% 19.04/19.06 [1716]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x17161),x17162)),x17163),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x17161),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x17162),x17163)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x17163),x17162))
% 19.04/19.06 [1760]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x17601)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x17602)),x17603)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x17602)),x17603))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x17601)))
% 19.04/19.06 [1804]~P21(f12(f166(x18041,a2),a2,f12(f166(x18041,a2),f166(f166(x18041,a2),a2),f200(f166(x18041,a2)),x18042),x18043))+P21(f12(f166(x18041,a2),a2,f12(x18041,f166(f166(x18041,a2),a2),f189(x18041),f126(x18041,x18042,x18043)),f12(f166(x18041,a2),f166(x18041,a2),f12(f166(x18041,a2),f166(f166(x18041,a2),f166(x18041,a2)),f190(f166(x18041,a2)),x18043),x18042)))
% 19.04/19.06 [1806]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18061),x18062)),x18063),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x18061),x18063)),x18062))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x18062),x18061))
% 19.04/19.06 [1807]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x18071),x18073))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18071),x18072)),x18073))
% 19.04/19.06 [1837]E(f12(f166(x18371,a2),f166(x18371,a2),f12(x18371,f166(f166(x18371,a2),f166(x18371,a2)),f182(x18371),x18372),f12(f166(x18371,a2),f166(x18371,a2),f12(f166(x18371,a2),f166(f166(x18371,a2),f166(x18371,a2)),f190(f166(x18371,a2)),x18373),f12(f166(x18371,a2),f166(x18371,a2),f12(x18371,f166(f166(x18371,a2),f166(x18371,a2)),f182(x18371),x18372),f6(f166(x18371,a2))))),f12(f166(x18371,a2),f166(x18371,a2),f7(f166(x18371,a2)),x18373))+~P21(f12(f166(x18371,a2),a2,f12(x18371,f166(f166(x18371,a2),a2),f189(x18371),x18372),x18373))
% 19.04/19.06 [1846]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x18461),x18462)),f12(a185,a185,a204,x18463)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18461),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18463),x18462))))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x18462),x18463))
% 19.04/19.06 [1944]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19441),x19442))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19441),x19443)),x19442))
% 19.04/19.06 [1947]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19471),x19472))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19473),x19471)),x19472))
% 19.04/19.06 [1948]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19481),x19482))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19481),x19483)),x19482))
% 19.04/19.06 [1955]~P21(f12(f166(x19551,a2),a2,f175(x19551),x19552))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(f166(x19551,a2),a185,f167(x19551),x19552)),f12(f166(x19551,a2),a185,f167(x19551),f12(f166(x19551,a2),f166(x19551,a2),f12(x19551,f166(f166(x19551,a2),f166(x19551,a2)),f182(x19551),x19553),x19552))))
% 19.04/19.06 [1976]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19761),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19763),x19762)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19761),x19762)),x19763))
% 19.04/19.06 [1977]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19771),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19773),x19772)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19771),x19772)),x19773))
% 19.04/19.06 [2034]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20341),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x20342),x20343)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20341),x20343)),x20342))
% 19.04/19.06 [2035]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20351),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20352),x20353)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x20351),x20353)),x20352))
% 19.04/19.06 [2129]~P29(x21291)+P21(f12(x21291,a2,f12(x21291,f166(x21291,a2),f199(x21291),f183(x21291)),f12(x21291,x21291,f12(x21291,f166(x21291,x21291),f203(x21291),f12(x21291,x21291,f12(x21291,f166(x21291,x21291),f216(x21291),x21292),x21292)),f12(x21291,x21291,f12(x21291,f166(x21291,x21291),f216(x21291),x21293),x21293))))
% 19.04/19.06 [2136]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f112(x21361,x21362,x21363)),f113(x21361,x21362,x21363)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,x21363,x21361)),x21362)),f12(a185,a185,x21363,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x21361),x21362))))
% 19.04/19.06 [2149]~P1(x21491)+P21(f12(x21491,a2,f12(x21491,f166(x21491,a2),f199(x21491),f12(x21491,x21491,f12(x21491,f166(x21491,x21491),f190(x21491),f12(x21491,x21491,f4(x21491),x21492)),f12(x21491,x21491,f4(x21491),x21493))),f12(x21491,x21491,f4(x21491),f12(x21491,x21491,f12(x21491,f166(x21491,x21491),f190(x21491),x21493),x21492))))
% 19.04/19.06 [2150]~P1(x21501)+P21(f12(x21501,a2,f12(x21501,f166(x21501,a2),f199(x21501),f12(x21501,x21501,f12(x21501,f166(x21501,x21501),f190(x21501),f12(x21501,x21501,f4(x21501),x21502)),f12(x21501,x21501,f4(x21501),x21503))),f12(x21501,x21501,f4(x21501),f12(x21501,x21501,f12(x21501,f166(x21501,x21501),f190(x21501),x21502),x21503))))
% 19.04/19.06 [2165]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,x21651,f112(x21652,x21653,x21651))),f12(a185,a185,x21651,f113(x21652,x21653,x21651))))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,x21651,x21652)),x21653)),f12(a185,a185,x21651,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x21652),x21653))))
% 19.04/19.06 [2193]~P1(x21931)+P21(f12(x21931,a2,f12(x21931,f166(x21931,a2),f199(x21931),f12(x21931,x21931,f4(x21931),f12(x21931,x21931,f12(x21931,f166(x21931,x21931),f190(x21931),f12(x21931,x21931,f4(x21931),x21932)),f12(x21931,x21931,f4(x21931),x21933)))),f12(x21931,x21931,f4(x21931),f12(x21931,x21931,f12(x21931,f166(x21931,x21931),f190(x21931),x21932),x21933))))
% 19.04/19.06 [1935]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19352),x19351))+E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19351),x19352))),x19353),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,a204,x19351)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19352),x19353)))
% 19.04/19.06 [2037]~P21(f12(f166(x20371,a2),a2,f175(x20371),x20372))+E(f12(a185,a185,a204,f12(f166(x20371,a2),a185,f167(x20371),f12(f166(x20371,a2),f166(x20371,a2),f12(f166(x20371,a2),f166(f166(x20371,a2),f166(x20371,a2)),f190(f166(x20371,a2)),x20372),f12(f166(x20371,a2),f166(x20371,a2),f12(x20371,f166(f166(x20371,a2),f166(x20371,a2)),f182(x20371),x20373),f6(f166(x20371,a2)))))),f12(f166(x20371,a2),a185,f167(x20371),f12(f166(x20371,a2),f166(x20371,a2),f12(x20371,f166(f166(x20371,a2),f166(x20371,a2)),f182(x20371),x20373),x20372)))
% 19.04/19.06 [2042]~P21(f12(f166(x20421,a2),a2,f175(x20421),x20422))+E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f195(a185)),f12(f166(x20421,a2),a185,f167(x20421),f12(f166(x20421,a2),f166(x20421,a2),f12(f166(x20421,a2),f166(f166(x20421,a2),f166(x20421,a2)),f190(f166(x20421,a2)),x20422),f12(f166(x20421,a2),f166(x20421,a2),f12(x20421,f166(f166(x20421,a2),f166(x20421,a2)),f182(x20421),x20423),f6(f166(x20421,a2)))))),f12(f166(x20421,a2),a185,f167(x20421),f12(f166(x20421,a2),f166(x20421,a2),f12(x20421,f166(f166(x20421,a2),f166(x20421,a2)),f182(x20421),x20423),x20422)))
% 19.04/19.06 [2074]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20743),x20742))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20741),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20742),x20741)),x20743)))
% 19.04/19.06 [2089]P21(f12(x20891,a2,x20893,x20892))+E(f12(f166(x20891,a2),f166(x20891,a2),f9(x20891),f12(f166(x20891,a2),f166(x20891,a2),f12(f166(x20891,f166(a2,a2)),f166(f166(x20891,a2),f166(x20891,a2)),f15(x20891,a2,a2),f12(f166(x20891,a2),f166(x20891,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x20891,a2),f166(x20891,f166(a2,a2))),f10(a2,f166(a2,a2),x20891),a168),f12(x20891,f166(x20891,a2),f171(x20891),x20892))),x20893)),f6(f166(x20891,a2)))
% 19.04/19.06 [2117]~P21(f12(x21171,a2,x21173,x21172))+E(f12(f166(x21171,a2),f166(x21171,a2),f9(x21171),f12(f166(x21171,a2),f166(x21171,a2),f12(f166(x21171,f166(a2,a2)),f166(f166(x21171,a2),f166(x21171,a2)),f15(x21171,a2,a2),f12(f166(x21171,a2),f166(x21171,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x21171,a2),f166(x21171,f166(a2,a2))),f10(a2,f166(a2,a2),x21171),a168),f12(x21171,f166(x21171,a2),f171(x21171),x21172))),x21173)),f12(f166(x21171,a2),f166(x21171,a2),f12(x21171,f166(f166(x21171,a2),f166(x21171,a2)),f182(x21171),x21172),f6(f166(x21171,a2))))
% 19.04/19.06 [2131]E(f12(f166(x21311,a2),x21311,f212(x21311),f12(f166(x21311,a2),f166(x21311,a2),f12(f166(x21311,f166(f166(x21311,a2),a2)),f166(f166(x21311,a2),f166(x21311,a2)),f11(x21311,f166(x21311,a2),a2),f189(x21311)),f12(f166(x21311,a2),f166(x21311,a2),f12(f166(x21311,a2),f166(f166(x21311,a2),f166(x21311,a2)),f190(f166(x21311,a2)),x21312),f12(f166(x21311,a2),f166(x21311,a2),f12(x21311,f166(f166(x21311,a2),f166(x21311,a2)),f182(x21311),x21313),f6(f166(x21311,a2)))))),f12(f166(x21311,a2),x21311,f12(x21311,f166(f166(x21311,a2),x21311),f197(x21311),x21313),x21312))+P21(f12(f166(x21311,a2),a2,f12(f166(x21311,a2),f166(f166(x21311,a2),a2),f199(f166(x21311,a2)),x21312),f12(f166(x21311,a2),f166(x21311,a2),f12(x21311,f166(f166(x21311,a2),f166(x21311,a2)),f182(x21311),x21313),f6(f166(x21311,a2)))))
% 19.04/19.06 [2166]~P21(f12(f166(x21661,a2),a2,f175(x21661),x21663))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(f166(x21661,a2),a185,f167(x21661),x21662)),f12(f166(x21661,a2),a185,f167(x21661),x21663))),f12(f166(x21661,a2),a185,f167(x21661),f12(f166(x21661,a2),f166(x21661,a2),f12(f166(x21661,a2),f166(f166(x21661,a2),f166(x21661,a2)),f190(f166(x21661,a2)),x21662),x21663))))
% 19.04/19.06 [2273]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x22733))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x22731),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x22732),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x22732),x22731))),f195(a1))),x22733))))
% 19.04/19.06 [2178]P21(f12(x21781,a2,x21783,x21782))+E(f12(f166(x21781,a2),f166(x21781,a2),f9(x21781),f12(f166(x21781,a2),f166(x21781,a2),f12(f166(x21781,f166(a2,a2)),f166(f166(x21781,a2),f166(x21781,a2)),f15(x21781,a2,a2),f12(f166(x21781,a2),f166(x21781,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x21781,a2),f166(x21781,f166(a2,a2))),f10(a2,f166(a2,a2),x21781),a168),f12(x21781,f166(x21781,a2),f12(f166(x21781,f166(x21781,a2)),f166(x21781,f166(x21781,a2)),f11(x21781,x21781,a2),f171(x21781)),x21782))),x21783)),f6(f166(x21781,a2)))
% 19.04/19.06 [2179]~P21(f12(x21791,a2,x21793,x21792))+E(f12(f166(x21791,a2),f166(x21791,a2),f9(x21791),f12(f166(x21791,a2),f166(x21791,a2),f12(f166(x21791,f166(a2,a2)),f166(f166(x21791,a2),f166(x21791,a2)),f15(x21791,a2,a2),f12(f166(x21791,a2),f166(x21791,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x21791,a2),f166(x21791,f166(a2,a2))),f10(a2,f166(a2,a2),x21791),a168),f12(x21791,f166(x21791,a2),f12(f166(x21791,f166(x21791,a2)),f166(x21791,f166(x21791,a2)),f11(x21791,x21791,a2),f171(x21791)),x21792))),x21793)),f12(f166(x21791,a2),f166(x21791,a2),f12(x21791,f166(f166(x21791,a2),f166(x21791,a2)),f182(x21791),x21792),f6(f166(x21791,a2))))
% 19.04/19.06 [2285]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x22853))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x22851),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x22851),x22852))),f195(a1))),x22853))),x22852))
% 19.04/19.06 [2220]~P21(f12(f166(x22201,a2),a2,f175(x22201),f12(f166(x22201,a2),f166(x22201,a2),f9(x22201),x22203)))+P21(f12(f166(x22201,a2),a2,f175(x22201),f12(f166(x22201,a2),f166(x22201,a2),f9(x22201),f12(f166(x22201,a2),f166(x22201,a2),f12(f166(x22201,f166(a2,a2)),f166(f166(x22201,a2),f166(x22201,a2)),f15(x22201,a2,a2),f12(f166(x22201,a2),f166(x22201,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x22201,a2),f166(x22201,f166(a2,a2))),f10(a2,f166(a2,a2),x22201),a168),x22202)),x22203))))
% 19.04/19.06 [2221]~P21(f12(f166(x22211,a2),a2,f175(x22211),f12(f166(x22211,a2),f166(x22211,a2),f9(x22211),x22212)))+P21(f12(f166(x22211,a2),a2,f175(x22211),f12(f166(x22211,a2),f166(x22211,a2),f9(x22211),f12(f166(x22211,a2),f166(x22211,a2),f12(f166(x22211,f166(a2,a2)),f166(f166(x22211,a2),f166(x22211,a2)),f15(x22211,a2,a2),f12(f166(x22211,a2),f166(x22211,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x22211,a2),f166(x22211,f166(a2,a2))),f10(a2,f166(a2,a2),x22211),a168),x22212)),x22213))))
% 19.04/19.06 [2241]P21(f12(f166(x22411,a2),a2,f175(x22411),f12(f166(x22411,a2),f166(x22411,a2),f9(x22411),x22412)))+~P21(f12(f166(x22411,a2),a2,f175(x22411),f12(f166(x22411,a2),f166(x22411,a2),f9(x22411),f12(f166(x22411,a2),f166(x22411,a2),f12(f166(x22411,f166(a2,a2)),f166(f166(x22411,a2),f166(x22411,a2)),f15(x22411,a2,a2),f12(f166(x22411,a2),f166(x22411,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x22411,a2),f166(x22411,f166(a2,a2))),f10(a2,f166(a2,a2),x22411),a169),x22413)),x22412))))
% 19.04/19.06 [2242]P21(f12(f166(x22421,a2),a2,f175(x22421),f12(f166(x22421,a2),f166(x22421,a2),f9(x22421),x22422)))+~P21(f12(f166(x22421,a2),a2,f175(x22421),f12(f166(x22421,a2),f166(x22421,a2),f9(x22421),f12(f166(x22421,a2),f166(x22421,a2),f12(f166(x22421,f166(a2,a2)),f166(f166(x22421,a2),f166(x22421,a2)),f15(x22421,a2,a2),f12(f166(x22421,a2),f166(x22421,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x22421,a2),f166(x22421,f166(a2,a2))),f10(a2,f166(a2,a2),x22421),a169),x22422)),x22423))))
% 19.04/19.06 [1131]~E(f12(f166(x11311,a2),f166(x11311,a2),f7(f166(x11311,a2)),x11314),f6(f166(x11311,a2)))+E(f12(f166(x11311,a2),f166(x11312,a2),f12(f166(x11311,x11312),f166(f166(x11311,a2),f166(x11312,a2)),f181(x11311,x11312),x11313),x11314),f6(f166(x11312,a2)))
% 19.04/19.06 [1163]~E(f12(f166(x11631,a2),f166(x11633,a2),f12(f166(x11631,x11633),f166(f166(x11631,a2),f166(x11633,a2)),f181(x11631,x11633),x11634),x11632),f6(f166(x11633,a2)))+E(f12(f166(x11631,a2),f166(x11631,a2),f7(f166(x11631,a2)),x11632),f6(f166(x11631,a2)))
% 19.04/19.06 [1218]E(f12(f166(x12181,a2),f166(x12181,a2),f7(f166(x12181,a2)),x12182),f6(f166(x12181,a2)))+~E(f12(f166(x12183,a2),f166(f213(x12181,x12183),a2),f12(f166(x12181,a2),f166(f166(x12183,a2),f166(f213(x12181,x12183),a2)),f214(x12181,x12183),x12182),x12184),f6(f166(f213(x12181,x12183),a2)))
% 19.04/19.06 [1219]E(f12(f166(x12191,a2),f166(x12191,a2),f7(f166(x12191,a2)),x12192),f6(f166(x12191,a2)))+~E(f12(f166(x12191,a2),f166(f213(x12193,x12191),a2),f12(f166(x12193,a2),f166(f166(x12191,a2),f166(f213(x12193,x12191),a2)),f214(x12193,x12191),x12194),x12192),f6(f166(f213(x12193,x12191),a2)))
% 19.04/19.06 [1246]~E(f12(x12461,x12462,x12463,f123(x12461,x12462,x12463,x12464)),f12(x12461,x12462,x12464,f123(x12461,x12462,x12463,x12464)))+E(f12(f166(x12461,x12462),f166(x12461,x12462),f7(f166(x12461,x12462)),x12463),f12(f166(x12461,x12462),f166(x12461,x12462),f7(f166(x12461,x12462)),x12464))
% 19.04/19.06 [1492]E(f12(x14921,x14921,f12(x14921,f166(x14921,x14921),x14922,x14923),x14923),f12(x14921,x14921,f7(x14921),x14923))+~P21(f12(f166(f166(x14921,a2),x14921),a2,f12(f166(x14921,f166(x14921,x14921)),f166(f166(f166(x14921,a2),x14921),a2),f172(x14921),x14922),x14924))
% 19.04/19.06 [1547]~P59(x15471)+E(f12(x15471,x15471,f12(a185,f166(x15471,x15471),f12(f166(x15471,x15471),f166(a185,f166(x15471,x15471)),f207(x15471),x15472),f12(a185,a185,a204,x15473)),x15474),f12(x15471,x15471,f12(a185,f166(x15471,x15471),f12(f166(x15471,x15471),f166(a185,f166(x15471,x15471)),f207(x15471),x15472),x15473),f12(x15471,x15471,x15472,x15474)))
% 19.04/19.06 [2127]~P21(f12(f166(x21272,a2),a2,f175(x21272),x21274))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(f166(x21271,a2),a185,f167(x21271),f12(f166(x21272,a2),f166(x21271,a2),f12(f166(x21272,x21271),f166(f166(x21272,a2),f166(x21271,a2)),f181(x21272,x21271),x21273),x21274))),f12(f166(x21272,a2),a185,f167(x21272),x21274)))
% 19.04/19.06 [1325]P21(f12(f166(x13252,a2),a2,f175(x13252),x13254))+E(f12(f166(f213(x13251,x13252),a2),a185,f167(f213(x13251,x13252)),f12(f166(x13252,a2),f166(f213(x13251,x13252),a2),f12(f166(x13251,a2),f166(f166(x13252,a2),f166(f213(x13251,x13252),a2)),f214(x13251,x13252),x13253),x13254)),f183(a185))
% 19.04/19.06 [1326]P21(f12(f166(x13261,a2),a2,f175(x13261),x13263))+E(f12(f166(f213(x13261,x13262),a2),a185,f167(f213(x13261,x13262)),f12(f166(x13262,a2),f166(f213(x13261,x13262),a2),f12(f166(x13261,a2),f166(f166(x13262,a2),f166(f213(x13261,x13262),a2)),f214(x13261,x13262),x13263),x13264)),f183(a185))
% 19.04/19.06 [1341]E(f12(f166(x13411,a2),f166(x13411,a2),f7(f166(x13411,a2)),x13412),f6(f166(x13411,a2)))+E(f12(f166(x13411,a2),f166(x13413,a2),f12(f166(x13411,x13413),f166(f166(x13411,a2),f166(x13413,a2)),f181(x13411,x13413),f12(x13413,f166(x13411,x13413),f14(x13413,x13411),x13414)),x13412),f12(f166(x13413,a2),f166(x13413,a2),f12(x13413,f166(f166(x13413,a2),f166(x13413,a2)),f182(x13413),x13414),f6(f166(x13413,a2))))
% 19.04/19.06 [1444]~P12(x14441)+E(f12(x14441,x14441,f12(x14441,f166(x14441,x14441),f203(x14441),x14442),f12(x14441,x14441,f12(x14441,f166(x14441,x14441),f203(x14441),x14443),x14444)),f12(x14441,x14441,f12(x14441,f166(x14441,x14441),f203(x14441),x14443),f12(x14441,x14441,f12(x14441,f166(x14441,x14441),f203(x14441),x14442),x14444)))
% 19.04/19.06 [1445]~P12(x14451)+E(f12(x14451,x14451,f12(x14451,f166(x14451,x14451),f216(x14451),x14452),f12(x14451,x14451,f12(x14451,f166(x14451,x14451),f216(x14451),x14453),x14454)),f12(x14451,x14451,f12(x14451,f166(x14451,x14451),f216(x14451),x14453),f12(x14451,x14451,f12(x14451,f166(x14451,x14451),f216(x14451),x14452),x14454)))
% 19.04/19.06 [1504]~P21(f12(x15041,a2,x15043,x15044))+P21(f12(x15041,a2,f12(f166(x15041,a2),f166(x15041,a2),f12(x15041,f166(f166(x15041,a2),f166(x15041,a2)),f182(x15041),x15042),x15043),x15044))
% 19.04/19.06 [1505]~E(f12(x15051,x15051,f7(x15051),x15052),f12(x15051,x15051,f7(x15051),x15054))+P21(f12(x15051,a2,f12(f166(x15051,a2),f166(x15051,a2),f12(x15051,f166(f166(x15051,a2),f166(x15051,a2)),f182(x15051),x15052),x15053),x15054))
% 19.04/19.06 [1548]~P21(f12(f166(x15482,a2),a2,f175(x15482),x15484))+P21(f12(f166(x15481,a2),a2,f175(x15481),f12(f166(x15482,a2),f166(x15481,a2),f12(f166(x15482,x15481),f166(f166(x15482,a2),f166(x15481,a2)),f181(x15482,x15481),x15483),x15484)))
% 19.04/19.06 [1606]~E(f12(x16061,x16061,f7(x16061),x16062),f12(x16061,x16061,f7(x16061),x16063))+P21(f12(f166(x16061,a2),a2,f12(x16061,f166(f166(x16061,a2),a2),f189(x16061),x16062),f12(f166(x16061,a2),f166(x16061,a2),f12(x16061,f166(f166(x16061,a2),f166(x16061,a2)),f182(x16061),x16063),x16064)))
% 19.04/19.06 [1609]E(f12(f166(x16091,a2),x16091,x16092,f12(f166(x16091,a2),f166(x16091,a2),f12(x16091,f166(f166(x16091,a2),f166(x16091,a2)),f182(x16091),x16093),f6(f166(x16091,a2)))),f12(x16091,x16091,f7(x16091),x16093))+~P21(f12(f166(f166(x16091,a2),x16091),a2,f12(f166(x16091,f166(x16091,x16091)),f166(f166(f166(x16091,a2),x16091),a2),f177(x16091),x16094),x16092))
% 19.04/19.06 [1691]~P12(x16911)+E(f12(x16911,x16911,f12(x16911,f166(x16911,x16911),f203(x16911),f12(x16911,x16911,f12(x16911,f166(x16911,x16911),f216(x16911),x16912),x16913)),f12(x16911,x16911,f12(x16911,f166(x16911,x16911),f216(x16911),x16912),x16914)),f12(x16911,x16911,f12(x16911,f166(x16911,x16911),f216(x16911),x16912),f12(x16911,x16911,f12(x16911,f166(x16911,x16911),f203(x16911),x16913),x16914)))
% 19.04/19.06 [1729]~P21(f12(f166(x17291,a2),a2,f12(x17291,f166(f166(x17291,a2),a2),f189(x17291),x17292),x17294))+P21(f12(f166(x17291,a2),a2,f12(x17291,f166(f166(x17291,a2),a2),f189(x17291),x17292),f12(f166(x17291,a2),f166(x17291,a2),f12(x17291,f166(f166(x17291,a2),f166(x17291,a2)),f182(x17291),x17293),x17294)))
% 19.04/19.06 [1764]~P21(f12(f166(x17641,a2),a2,f12(f166(x17641,a2),f166(f166(x17641,a2),a2),f199(f166(x17641,a2)),x17642),x17644))+P21(f12(f166(x17641,a2),a2,f12(f166(x17641,a2),f166(f166(x17641,a2),a2),f199(f166(x17641,a2)),x17642),f12(f166(x17641,a2),f166(x17641,a2),f12(x17641,f166(f166(x17641,a2),f166(x17641,a2)),f182(x17641),x17643),x17644)))
% 19.04/19.06 [1814]P21(f12(f166(x18141,a2),a2,f175(x18141),x18142))+~P21(f12(f166(f213(x18143,x18141),a2),a2,f175(f213(x18143,x18141)),f12(f166(x18141,a2),f166(f213(x18143,x18141),a2),f12(f166(x18143,a2),f166(f166(x18141,a2),f166(f213(x18143,x18141),a2)),f214(x18143,x18141),x18144),x18142)))
% 19.04/19.06 [1815]P21(f12(f166(x18151,a2),a2,f175(x18151),x18152))+~P21(f12(f166(f213(x18151,x18153),a2),a2,f175(f213(x18151,x18153)),f12(f166(x18153,a2),f166(f213(x18151,x18153),a2),f12(f166(x18151,a2),f166(f166(x18153,a2),f166(f213(x18151,x18153),a2)),f214(x18151,x18153),x18152),x18154)))
% 19.04/19.06 [2041]~P21(f12(f166(x20411,a2),a2,f12(f166(x20411,a2),f166(f166(x20411,a2),a2),f199(f166(x20411,a2)),x20413),x20414))+P21(f12(f166(x20411,a2),a2,f12(f166(x20411,a2),f166(f166(x20411,a2),a2),f199(f166(x20411,a2)),f12(f166(x20411,a2),f166(x20411,a2),f12(x20411,f166(f166(x20411,a2),f166(x20411,a2)),f182(x20411),x20412),x20413)),f12(f166(x20411,a2),f166(x20411,a2),f12(x20411,f166(f166(x20411,a2),f166(x20411,a2)),f182(x20411),x20412),x20414)))
% 19.04/19.06 [1577]~P4(x15771)+E(f12(x15771,x15771,f12(x15771,f166(x15771,x15771),f203(x15771),f12(x15771,x15771,f12(x15771,f166(x15771,x15771),f203(x15771),x15772),x15773)),x15774),f12(x15771,x15771,f12(x15771,f166(x15771,x15771),f203(x15771),x15772),f12(x15771,x15771,f12(x15771,f166(x15771,x15771),f203(x15771),x15773),x15774)))
% 19.04/19.06 [1578]~P12(x15781)+E(f12(x15781,x15781,f12(x15781,f166(x15781,x15781),f203(x15781),f12(x15781,x15781,f12(x15781,f166(x15781,x15781),f203(x15781),x15782),x15783)),x15784),f12(x15781,x15781,f12(x15781,f166(x15781,x15781),f203(x15781),x15782),f12(x15781,x15781,f12(x15781,f166(x15781,x15781),f203(x15781),x15783),x15784)))
% 19.04/19.06 [1579]~P7(x15791)+E(f12(x15791,x15791,f12(x15791,f166(x15791,x15791),f216(x15791),f12(x15791,x15791,f12(x15791,f166(x15791,x15791),f216(x15791),x15792),x15793)),x15794),f12(x15791,x15791,f12(x15791,f166(x15791,x15791),f216(x15791),x15792),f12(x15791,x15791,f12(x15791,f166(x15791,x15791),f216(x15791),x15793),x15794)))
% 19.04/19.06 [1580]~P12(x15801)+E(f12(x15801,x15801,f12(x15801,f166(x15801,x15801),f216(x15801),f12(x15801,x15801,f12(x15801,f166(x15801,x15801),f216(x15801),x15802),x15803)),x15804),f12(x15801,x15801,f12(x15801,f166(x15801,x15801),f216(x15801),x15802),f12(x15801,x15801,f12(x15801,f166(x15801,x15801),f216(x15801),x15803),x15804)))
% 19.04/19.06 [1689]~P12(x16891)+E(f12(x16891,x16891,f12(x16891,f166(x16891,x16891),f203(x16891),f12(x16891,x16891,f12(x16891,f166(x16891,x16891),f203(x16891),x16892),x16893)),x16894),f12(x16891,x16891,f12(x16891,f166(x16891,x16891),f203(x16891),f12(x16891,x16891,f12(x16891,f166(x16891,x16891),f203(x16891),x16892),x16894)),x16893))
% 19.04/19.06 [1690]~P12(x16901)+E(f12(x16901,x16901,f12(x16901,f166(x16901,x16901),f216(x16901),f12(x16901,x16901,f12(x16901,f166(x16901,x16901),f216(x16901),x16902),x16903)),x16904),f12(x16901,x16901,f12(x16901,f166(x16901,x16901),f216(x16901),f12(x16901,x16901,f12(x16901,f166(x16901,x16901),f216(x16901),x16902),x16904)),x16903))
% 19.04/19.06 [1757]E(f12(f166(x17571,a2),f166(x17571,a2),f12(f166(x17571,a2),f166(f166(x17571,a2),f166(x17571,a2)),f190(f166(x17571,a2)),f12(f166(x17571,a2),f166(x17571,a2),f12(x17571,f166(f166(x17571,a2),f166(x17571,a2)),f182(x17571),x17572),x17573)),x17574),f12(f166(x17571,a2),f166(x17571,a2),f12(f166(x17571,a2),f166(f166(x17571,a2),f166(x17571,a2)),f190(f166(x17571,a2)),x17573),x17574))+~P21(f12(f166(x17571,a2),a2,f12(x17571,f166(f166(x17571,a2),a2),f189(x17571),x17572),x17574))
% 19.04/19.06 [1771]~P12(x17711)+E(f12(x17711,x17711,f12(x17711,f166(x17711,x17711),f203(x17711),f12(x17711,x17711,f12(x17711,f166(x17711,x17711),f216(x17711),x17712),x17713)),f12(x17711,x17711,f12(x17711,f166(x17711,x17711),f216(x17711),x17714),x17713)),f12(x17711,x17711,f12(x17711,f166(x17711,x17711),f216(x17711),f12(x17711,x17711,f12(x17711,f166(x17711,x17711),f203(x17711),x17712),x17714)),x17713))
% 19.04/19.06 [1772]~P13(x17721)+E(f12(x17721,x17721,f12(x17721,f166(x17721,x17721),f203(x17721),f12(x17721,x17721,f12(x17721,f166(x17721,x17721),f216(x17721),x17722),x17723)),f12(x17721,x17721,f12(x17721,f166(x17721,x17721),f216(x17721),x17724),x17723)),f12(x17721,x17721,f12(x17721,f166(x17721,x17721),f216(x17721),f12(x17721,x17721,f12(x17721,f166(x17721,x17721),f203(x17721),x17722),x17724)),x17723))
% 19.04/19.06 [1773]~P12(x17731)+E(f12(x17731,x17731,f12(x17731,f166(x17731,x17731),f203(x17731),f12(x17731,x17731,f12(x17731,f166(x17731,x17731),f216(x17731),x17732),x17733)),f12(x17731,x17731,f12(x17731,f166(x17731,x17731),f216(x17731),x17734),x17733)),f12(x17731,x17731,f12(x17731,f166(x17731,x17731),f216(x17731),f12(x17731,x17731,f12(x17731,f166(x17731,x17731),f203(x17731),x17732),x17734)),x17733))
% 19.04/19.06 [1818]E(f12(f166(x18181,a2),f166(x18181,a2),f12(f166(x18181,a2),f166(f166(x18181,a2),f166(x18181,a2)),f190(f166(x18181,a2)),f12(f166(x18181,a2),f166(x18181,a2),f12(x18181,f166(f166(x18181,a2),f166(x18181,a2)),f182(x18181),x18182),x18183)),x18184),f12(f166(x18181,a2),f166(x18181,a2),f12(x18181,f166(f166(x18181,a2),f166(x18181,a2)),f182(x18181),x18182),f12(f166(x18181,a2),f166(x18181,a2),f12(f166(x18181,a2),f166(f166(x18181,a2),f166(x18181,a2)),f190(f166(x18181,a2)),x18183),x18184)))+P21(f12(f166(x18181,a2),a2,f12(x18181,f166(f166(x18181,a2),a2),f189(x18181),x18182),x18184))
% 19.04/19.06 [1852]P21(f12(f166(x18521,a2),a2,f175(x18521),x18522))+~E(f12(f166(x18521,a2),f166(x18521,a2),f7(f166(x18521,a2)),x18522),f12(f166(a185,a2),f166(x18521,a2),f12(f166(a185,x18521),f166(f166(a185,a2),f166(x18521,a2)),f181(a185,x18521),x18523),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x18524))))
% 19.04/19.06 [1872]P21(f12(f166(x18721,a2),a2,f12(x18721,f166(f166(x18721,a2),a2),f189(x18721),x18722),x18723))+~P21(f12(f166(x18721,a2),a2,f12(x18721,f166(f166(x18721,a2),a2),f189(x18721),x18722),f12(f166(x18721,a2),f166(x18721,a2),f12(f166(x18721,a2),f166(f166(x18721,a2),f166(x18721,a2)),f190(f166(x18721,a2)),x18723),x18724)))
% 19.04/19.06 [1895]~P21(f12(f166(x18951,a2),a2,f12(x18951,f166(f166(x18951,a2),a2),f189(x18951),x18952),x18953))+~P21(f12(f166(x18951,a2),a2,f12(x18951,f166(f166(x18951,a2),a2),f189(x18951),x18952),f12(f166(x18951,a2),f166(x18951,a2),f12(f166(x18951,a2),f166(f166(x18951,a2),f166(x18951,a2)),f190(f166(x18951,a2)),x18954),x18953)))
% 19.04/19.06 [2045]P21(f12(f166(x20451,a2),a2,f12(x20451,f166(f166(x20451,a2),a2),f189(x20451),x20452),x20453))+~P21(f12(f166(x20451,a2),a2,f12(f166(x20451,a2),f166(f166(x20451,a2),a2),f199(f166(x20451,a2)),f12(f166(x20451,a2),f166(x20451,a2),f12(x20451,f166(f166(x20451,a2),f166(x20451,a2)),f182(x20451),x20452),x20454)),x20453))
% 19.04/19.06 [2051]P21(f12(f166(x20511,a2),a2,f12(f166(x20511,a2),f166(f166(x20511,a2),a2),f199(f166(x20511,a2)),x20512),x20513))+~P21(f12(f166(x20511,a2),a2,f12(f166(x20511,a2),f166(f166(x20511,a2),a2),f199(f166(x20511,a2)),f12(f166(x20511,a2),f166(x20511,a2),f12(x20511,f166(f166(x20511,a2),f166(x20511,a2)),f182(x20511),x20514),x20512)),x20513))
% 19.04/19.06 [2104]~P21(f12(f166(x21041,a2),a2,f175(x21041),f12(f166(x21041,a2),f166(x21041,a2),f12(f166(x21041,a2),f166(f166(x21041,a2),f166(x21041,a2)),f190(f166(x21041,a2)),x21042),x21044)))+P21(f12(f166(x21041,a2),a2,f175(x21041),f12(f166(x21041,a2),f166(x21041,a2),f12(f166(x21041,a2),f166(f166(x21041,a2),f166(x21041,a2)),f190(f166(x21041,a2)),x21042),f12(f166(x21041,a2),f166(x21041,a2),f12(x21041,f166(f166(x21041,a2),f166(x21041,a2)),f182(x21041),x21043),x21044))))
% 19.04/19.06 [2144]~P21(f12(f166(x21441,a2),a2,f175(x21441),f12(f166(x21441,a2),f166(x21441,a2),f12(f166(x21441,a2),f166(f166(x21441,a2),f166(x21441,a2)),f190(f166(x21441,a2)),x21442),f12(f166(x21441,a2),f166(x21441,a2),f12(x21441,f166(f166(x21441,a2),f166(x21441,a2)),f182(x21441),x21444),x21443))))+P21(f12(f166(x21441,a2),a2,f175(x21441),f12(f166(x21441,a2),f166(x21441,a2),f12(f166(x21441,a2),f166(f166(x21441,a2),f166(x21441,a2)),f190(f166(x21441,a2)),x21442),x21443)))
% 19.04/19.06 [1926]~P37(x19261)+E(f12(x19261,x19261,f12(x19261,f166(x19261,x19261),f203(x19261),f12(a1,x19261,f191(x19261),x19262)),f12(x19261,x19261,f12(x19261,f166(x19261,x19261),f190(x19261),f12(a1,x19261,f191(x19261),x19263)),x19264)),f12(x19261,x19261,f12(x19261,f166(x19261,x19261),f190(x19261),f12(a1,x19261,f191(x19261),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19262),x19263))),x19264))
% 19.04/19.06 [1927]~P37(x19271)+E(f12(x19271,x19271,f12(x19271,f166(x19271,x19271),f203(x19271),f12(a1,x19271,f191(x19271),x19272)),f12(x19271,x19271,f12(x19271,f166(x19271,x19271),f203(x19271),f12(a1,x19271,f191(x19271),x19273)),x19274)),f12(x19271,x19271,f12(x19271,f166(x19271,x19271),f203(x19271),f12(a1,x19271,f191(x19271),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19272),x19273))),x19274))
% 19.04/19.06 [1928]~P37(x19281)+E(f12(x19281,x19281,f12(x19281,f166(x19281,x19281),f216(x19281),f12(a1,x19281,f191(x19281),x19282)),f12(x19281,x19281,f12(x19281,f166(x19281,x19281),f216(x19281),f12(a1,x19281,f191(x19281),x19283)),x19284)),f12(x19281,x19281,f12(x19281,f166(x19281,x19281),f216(x19281),f12(a1,x19281,f191(x19281),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x19282),x19283))),x19284))
% 19.04/19.06 [2243]P21(x22432)+E(f12(f166(x22431,a2),x22431,f212(x22431),f12(f166(x22431,a2),f166(x22431,a2),f12(f166(x22431,f166(a2,a2)),f166(f166(x22431,a2),f166(x22431,a2)),f15(x22431,a2,a2),f12(f166(x22431,a2),f166(x22431,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x22431,a2),f166(x22431,f166(a2,a2))),f10(a2,f166(a2,a2),x22431),a168),f12(f166(x22431,a2),f166(x22431,a2),f12(f166(a2,a2),f166(f166(x22431,a2),f166(x22431,a2)),f10(a2,a2,x22431),f12(a2,f166(a2,a2),a170,x22432)),f12(x22431,f166(x22431,a2),f12(f166(x22431,f166(x22431,a2)),f166(x22431,f166(x22431,a2)),f11(x22431,x22431,a2),f171(x22431)),x22433)))),f12(f166(x22431,a2),f166(x22431,a2),f12(f166(a2,a2),f166(f166(x22431,a2),f166(x22431,a2)),f10(a2,a2,x22431),f12(a2,f166(a2,a2),a170,f12(a2,a2,a165,x22432))),f12(x22431,f166(x22431,a2),f12(f166(x22431,f166(x22431,a2)),f166(x22431,f166(x22431,a2)),f11(x22431,x22431,a2),f171(x22431)),x22434)))),f12(x22431,x22431,f7(x22431),x22434))
% 19.04/19.06 [2244]~P21(x22442)+E(f12(f166(x22441,a2),x22441,f212(x22441),f12(f166(x22441,a2),f166(x22441,a2),f12(f166(x22441,f166(a2,a2)),f166(f166(x22441,a2),f166(x22441,a2)),f15(x22441,a2,a2),f12(f166(x22441,a2),f166(x22441,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x22441,a2),f166(x22441,f166(a2,a2))),f10(a2,f166(a2,a2),x22441),a168),f12(f166(x22441,a2),f166(x22441,a2),f12(f166(a2,a2),f166(f166(x22441,a2),f166(x22441,a2)),f10(a2,a2,x22441),f12(a2,f166(a2,a2),a170,x22442)),f12(x22441,f166(x22441,a2),f12(f166(x22441,f166(x22441,a2)),f166(x22441,f166(x22441,a2)),f11(x22441,x22441,a2),f171(x22441)),x22443)))),f12(f166(x22441,a2),f166(x22441,a2),f12(f166(a2,a2),f166(f166(x22441,a2),f166(x22441,a2)),f10(a2,a2,x22441),f12(a2,f166(a2,a2),a170,f12(a2,a2,a165,x22442))),f12(x22441,f166(x22441,a2),f12(f166(x22441,f166(x22441,a2)),f166(x22441,f166(x22441,a2)),f11(x22441,x22441,a2),f171(x22441)),x22444)))),f12(x22441,x22441,f7(x22441),x22443))
% 19.04/19.06 [1391]E(f12(x13911,x13911,f12(x13912,f166(x13911,x13911),x13913,x13914),f12(x13911,x13911,f12(x13912,f166(x13911,x13911),x13913,x13914),x13915)),f12(x13911,x13911,f12(x13912,f166(x13911,x13911),x13913,x13914),x13915))+~P21(f12(f166(x13912,f166(x13911,x13911)),a2,f176(x13912,x13911),x13913))
% 19.04/19.06 [1565]E(f12(f166(x15651,a2),f166(x15652,a2),f12(f166(x15651,x15652),f166(f166(x15651,a2),f166(x15652,a2)),f181(x15651,x15652),f12(x15652,f166(x15651,x15652),f14(x15652,x15651),x15653)),x15654),f12(f166(x15652,a2),f166(x15652,a2),f12(x15652,f166(f166(x15652,a2),f166(x15652,a2)),f182(x15652),x15653),f6(f166(x15652,a2))))+~P21(f12(f166(x15651,a2),a2,f12(x15651,f166(f166(x15651,a2),a2),f189(x15651),x15655),x15654))
% 19.04/19.06 [1695]E(f12(f166(x16951,a2),f166(x16951,a2),f12(x16951,f166(f166(x16951,a2),f166(x16951,a2)),f182(x16951),f12(x16952,x16951,x16953,x16954)),f12(f166(x16952,a2),f166(x16951,a2),f12(f166(x16952,x16951),f166(f166(x16952,a2),f166(x16951,a2)),f181(x16952,x16951),x16953),x16955)),f12(f166(x16952,a2),f166(x16951,a2),f12(f166(x16952,x16951),f166(f166(x16952,a2),f166(x16951,a2)),f181(x16952,x16951),x16953),x16955))+~P21(f12(f166(x16952,a2),a2,f12(x16952,f166(f166(x16952,a2),a2),f189(x16952),x16954),x16955))
% 19.04/19.06 [1843]~P21(f12(f166(x18432,a2),a2,f12(x18432,f166(f166(x18432,a2),a2),f189(x18432),x18434),x18435))+P21(f12(f166(x18431,a2),a2,f12(x18431,f166(f166(x18431,a2),a2),f189(x18431),f12(x18432,x18431,x18433,x18434)),f12(f166(x18432,a2),f166(x18431,a2),f12(f166(x18432,x18431),f166(f166(x18432,a2),f166(x18431,a2)),f181(x18432,x18431),x18433),x18435)))
% 19.04/19.06 [1848]~P12(x18481)+E(f12(x18481,x18481,f12(x18481,f166(x18481,x18481),f203(x18481),f12(x18481,x18481,f12(x18481,f166(x18481,x18481),f203(x18481),x18482),x18483)),f12(x18481,x18481,f12(x18481,f166(x18481,x18481),f203(x18481),x18484),x18485)),f12(x18481,x18481,f12(x18481,f166(x18481,x18481),f203(x18481),f12(x18481,x18481,f12(x18481,f166(x18481,x18481),f203(x18481),x18482),x18484)),f12(x18481,x18481,f12(x18481,f166(x18481,x18481),f203(x18481),x18483),x18485)))
% 19.04/19.06 [1849]~P12(x18491)+E(f12(x18491,x18491,f12(x18491,f166(x18491,x18491),f216(x18491),f12(x18491,x18491,f12(x18491,f166(x18491,x18491),f216(x18491),x18492),x18493)),f12(x18491,x18491,f12(x18491,f166(x18491,x18491),f216(x18491),x18494),x18495)),f12(x18491,x18491,f12(x18491,f166(x18491,x18491),f216(x18491),f12(x18491,x18491,f12(x18491,f166(x18491,x18491),f216(x18491),x18492),x18494)),f12(x18491,x18491,f12(x18491,f166(x18491,x18491),f216(x18491),x18493),x18495)))
% 19.04/19.06 [1889]E(f12(x18891,x18891,f7(x18891),x18892),f12(x18893,x18891,x18894,f138(x18891,x18893,x18892,x18894,x18895)))+~P21(f12(f166(x18891,a2),a2,f12(x18891,f166(f166(x18891,a2),a2),f189(x18891),x18892),f12(f166(x18893,a2),f166(x18891,a2),f12(f166(x18893,x18891),f166(f166(x18893,a2),f166(x18891,a2)),f181(x18893,x18891),x18894),x18895)))
% 19.04/19.06 [1890]E(f12(x18901,x18901,f7(x18901),x18902),f12(x18903,x18901,x18904,f28(x18901,x18903,x18902,x18904,x18905)))+~P21(f12(f166(x18901,a2),a2,f12(x18901,f166(f166(x18901,a2),a2),f189(x18901),x18902),f12(f166(x18903,a2),f166(x18901,a2),f12(f166(x18903,x18901),f166(f166(x18903,a2),f166(x18901,a2)),f181(x18903,x18901),x18904),x18905)))
% 19.04/19.06 [1962]E(f12(f166(x19621,a2),f166(x19622,a2),f12(f166(x19621,x19622),f166(f166(x19621,a2),f166(x19622,a2)),f181(x19621,x19622),x19623),f163(x19622,x19621,x19624,x19623,x19625)),f12(f166(x19622,a2),f166(x19622,a2),f7(f166(x19622,a2)),x19624))+~P21(f12(f166(x19622,a2),a2,f12(f166(x19622,a2),f166(f166(x19622,a2),a2),f199(f166(x19622,a2)),x19624),f12(f166(x19621,a2),f166(x19622,a2),f12(f166(x19621,x19622),f166(f166(x19621,a2),f166(x19622,a2)),f181(x19621,x19622),x19623),x19625)))
% 19.04/19.06 [2063]~P21(f12(f166(x20632,a2),a2,f12(f166(x20632,a2),f166(f166(x20632,a2),a2),f199(f166(x20632,a2)),x20634),x20635))+P21(f12(f166(x20631,a2),a2,f12(f166(x20631,a2),f166(f166(x20631,a2),a2),f199(f166(x20631,a2)),f12(f166(x20632,a2),f166(x20631,a2),f12(f166(x20632,x20631),f166(f166(x20632,a2),f166(x20631,a2)),f181(x20632,x20631),x20633),x20634)),f12(f166(x20632,a2),f166(x20631,a2),f12(f166(x20632,x20631),f166(f166(x20632,a2),f166(x20631,a2)),f181(x20632,x20631),x20633),x20635)))
% 19.04/19.06 [2100]P21(f12(f166(x21001,a2),a2,f12(x21001,f166(f166(x21001,a2),a2),f189(x21001),f138(x21002,x21001,x21003,x21004,x21005)),x21005))+~P21(f12(f166(x21002,a2),a2,f12(x21002,f166(f166(x21002,a2),a2),f189(x21002),x21003),f12(f166(x21001,a2),f166(x21002,a2),f12(f166(x21001,x21002),f166(f166(x21001,a2),f166(x21002,a2)),f181(x21001,x21002),x21004),x21005)))
% 19.04/19.06 [2101]P21(f12(f166(x21011,a2),a2,f12(x21011,f166(f166(x21011,a2),a2),f189(x21011),f28(x21012,x21011,x21013,x21014,x21015)),x21015))+~P21(f12(f166(x21012,a2),a2,f12(x21012,f166(f166(x21012,a2),a2),f189(x21012),x21013),f12(f166(x21011,a2),f166(x21012,a2),f12(f166(x21011,x21012),f166(f166(x21011,a2),f166(x21012,a2)),f181(x21011,x21012),x21014),x21015)))
% 19.04/19.06 [2115]P21(f12(f166(x21151,a2),a2,f12(f166(x21151,a2),f166(f166(x21151,a2),a2),f199(f166(x21151,a2)),f163(x21152,x21151,x21153,x21154,x21155)),x21155))+~P21(f12(f166(x21152,a2),a2,f12(f166(x21152,a2),f166(f166(x21152,a2),a2),f199(f166(x21152,a2)),x21153),f12(f166(x21151,a2),f166(x21152,a2),f12(f166(x21151,x21152),f166(f166(x21151,a2),f166(x21152,a2)),f181(x21151,x21152),x21154),x21155)))
% 19.04/19.06 [1463]~P2(x14632)+E(f12(x14631,x14632,f12(f166(x14631,x14632),f166(x14631,x14632),f12(f166(x14631,x14632),f166(f166(x14631,x14632),f166(x14631,x14632)),f190(f166(x14631,x14632)),x14633),x14634),x14635),f12(x14632,x14632,f12(x14632,f166(x14632,x14632),f190(x14632),f12(x14631,x14632,x14633,x14635)),f12(x14631,x14632,x14634,x14635)))
% 19.04/19.06 [1847]~P12(x18471)+E(f12(x18471,x18471,f12(x18471,f166(x18471,x18471),f216(x18471),f12(x18471,x18471,f12(x18471,f166(x18471,x18471),f216(x18471),x18472),x18473)),f12(x18471,x18471,f12(x18471,f166(x18471,x18471),f216(x18471),x18474),x18475)),f12(x18471,x18471,f12(x18471,f166(x18471,x18471),f216(x18471),x18472),f12(x18471,x18471,f12(x18471,f166(x18471,x18471),f216(x18471),x18473),f12(x18471,x18471,f12(x18471,f166(x18471,x18471),f216(x18471),x18474),x18475))))
% 19.04/19.06 [2118]P21(f12(f166(x21181,a2),a2,f12(x21181,f166(f166(x21181,a2),a2),f189(x21181),f50(x21182,x21181,x21183,x21184,x21185)),x21185))+P21(f12(f166(x21182,a2),a2,f12(f166(x21182,a2),f166(f166(x21182,a2),a2),f199(f166(x21182,a2)),f12(f166(x21181,a2),f166(x21182,a2),f12(f166(x21181,x21182),f166(f166(x21181,a2),f166(x21182,a2)),f181(x21181,x21182),x21183),x21185)),x21184))
% 19.04/19.06 [2190]~P21(f12(f166(x21901,a2),a2,f12(x21901,f166(f166(x21901,a2),a2),f189(x21901),f12(x21902,x21901,x21903,f50(x21901,x21902,x21903,x21905,x21904))),x21905))+P21(f12(f166(x21901,a2),a2,f12(f166(x21901,a2),f166(f166(x21901,a2),a2),f199(f166(x21901,a2)),f12(f166(x21902,a2),f166(x21901,a2),f12(f166(x21902,x21901),f166(f166(x21902,a2),f166(x21901,a2)),f181(x21902,x21901),x21903),x21904)),x21905))
% 19.04/19.06 [1967]~P12(x19671)+E(f12(x19671,x19671,f12(x19671,f166(x19671,x19671),f216(x19671),f12(x19671,x19671,f12(x19671,f166(x19671,x19671),f216(x19671),x19672),x19673)),f12(x19671,x19671,f12(x19671,f166(x19671,x19671),f216(x19671),x19674),x19675)),f12(x19671,x19671,f12(x19671,f166(x19671,x19671),f216(x19671),x19674),f12(x19671,x19671,f12(x19671,f166(x19671,x19671),f216(x19671),f12(x19671,x19671,f12(x19671,f166(x19671,x19671),f216(x19671),x19672),x19673)),x19675)))
% 19.04/19.06 [2247]~P1(x22471)+P21(f12(x22471,a2,f12(x22471,f166(x22471,a2),f199(x22471),f12(x22471,x22471,f4(x22471),f12(x22471,x22471,f12(x22471,f166(x22471,x22471),f190(x22471),f12(x22471,x22471,f12(x22471,f166(x22471,x22471),f203(x22471),x22472),x22473)),f12(x22471,x22471,f12(x22471,f166(x22471,x22471),f203(x22471),x22474),x22475)))),f12(x22471,x22471,f12(x22471,f166(x22471,x22471),f203(x22471),f12(x22471,x22471,f4(x22471),f12(x22471,x22471,f12(x22471,f166(x22471,x22471),f190(x22471),x22472),x22474))),f12(x22471,x22471,f4(x22471),f12(x22471,x22471,f12(x22471,f166(x22471,x22471),f190(x22471),x22473),x22475)))))
% 19.04/19.06 [2154]~P41(x21541)+E(f12(x21541,x21541,f12(x21541,f166(x21541,x21541),f203(x21541),f12(x21541,x21541,f12(x21541,f166(x21541,x21541),f216(x21541),x21542),x21543)),f12(x21541,x21541,f12(x21541,f166(x21541,x21541),f203(x21541),f12(x21541,x21541,f12(x21541,f166(x21541,x21541),f216(x21541),x21544),x21543)),x21545)),f12(x21541,x21541,f12(x21541,f166(x21541,x21541),f203(x21541),f12(x21541,x21541,f12(x21541,f166(x21541,x21541),f216(x21541),f12(x21541,x21541,f12(x21541,f166(x21541,x21541),f203(x21541),x21542),x21544)),x21543)),x21545))
% 19.04/19.06 [2214]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22141),x22144))+E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22141),x22142)),x22143)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22144),x22142)),x22145)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22143),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22144),x22141)),x22142)),x22145)))
% 19.04/19.06 [2240]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22404),x22401))+E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22401),x22402)),x22403)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22404),x22402)),x22405)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22401),x22404)),x22402)),x22403)),x22405))
% 19.04/19.06 [2187]E(f12(f166(x21871,a2),x21872,x21873,f6(f166(x21871,a2))),f12(x21872,x21872,f7(x21872),x21874))+~P21(f12(f166(f166(x21871,a2),x21872),a2,f12(f166(x21871,x21872),f166(f166(f166(x21871,a2),x21872),a2),f12(x21872,f166(f166(x21871,x21872),f166(f166(f166(x21871,a2),x21872),a2)),f12(f166(x21872,f166(x21872,x21872)),f166(x21872,f166(f166(x21871,x21872),f166(f166(f166(x21871,a2),x21872),a2))),f173(x21872,x21871),x21875),x21874),x21876),x21873))
% 19.04/19.06 [2188]E(f12(x21881,x21881,f12(x21881,f166(x21881,x21881),x21882,x21883),x21883),f12(x21881,x21881,f7(x21881),x21883))+~P21(f12(f166(f166(x21884,a2),x21881),a2,f12(f166(x21884,x21881),f166(f166(f166(x21884,a2),x21881),a2),f12(x21881,f166(f166(x21884,x21881),f166(f166(f166(x21884,a2),x21881),a2)),f12(f166(x21881,f166(x21881,x21881)),f166(x21881,f166(f166(x21884,x21881),f166(f166(f166(x21884,a2),x21881),a2))),f174(x21881,x21884),x21882),x21885),x21886),x21887))
% 19.04/19.06 [984]~P10(x9841)+~P10(x9842)+P10(f166(x9841,x9842))
% 19.04/19.06 [985]~P10(x9851)+~P10(x9852)+P10(f213(x9851,x9852))
% 19.04/19.06 [1023]~P1(x10231)+~E(f12(x10231,x10231,f4(x10231),x10232),f183(x10231))+E(f12(x10231,x10231,f7(x10231),x10232),f183(x10231))
% 19.04/19.06 [1024]~P1(x10241)+~E(f12(x10241,x10241,f7(x10241),x10242),f183(x10241))+E(f12(x10241,x10241,f4(x10241),x10242),f183(x10241))
% 19.04/19.06 [1075]~E(f195(a185),f183(a185))+E(f12(f166(x10751,a2),a185,f167(x10751),x10752),f183(a185))+~P21(f12(f166(x10751,a2),a2,f175(x10751),x10752))
% 19.04/19.06 [1138]~P21(f12(a185,a2,x11381,x11382))+P21(f12(a185,a2,x11381,f153(x11382,x11381)))+P21(f12(a185,a2,x11381,f183(a185)))
% 19.04/19.06 [1139]P21(f12(a185,a2,x11391,x11392))+P21(f12(a185,a2,x11391,f161(x11392,x11391)))+~P21(f12(a185,a2,x11391,f183(a185)))
% 19.04/19.06 [1154]~P8(x11541)+~E(f12(x11541,x11541,f7(x11541),x11542),f6(x11541))+P21(f12(x11541,a2,f12(x11541,f166(x11541,a2),f199(x11541),x11542),f6(x11541)))
% 19.04/19.06 [1155]~P21(f12(a185,a2,x11551,x11552))+~P21(f12(a185,a2,x11551,f160(x11551)))+P21(f12(a185,a2,x11551,f183(a185)))
% 19.04/19.06 [1232]~P8(x12321)+E(f12(x12321,x12321,f7(x12321),x12322),f6(x12321))+~P21(f12(x12321,a2,f12(x12321,f166(x12321,a2),f199(x12321),x12322),f6(x12321)))
% 19.04/19.06 [1368]~P1(x13681)+~E(f12(x13681,x13681,f7(x13681),x13682),f183(x13681))+P21(f12(x13681,a2,f12(x13681,f166(x13681,a2),f199(x13681),f12(x13681,x13681,f4(x13681),x13682)),f183(x13681)))
% 19.04/19.06 [1390]E(x13901,f183(a185))+E(f12(a185,a185,a204,f149(x13901,x13902)),x13901)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13901),f12(a185,a185,a204,x13902)))
% 19.04/19.06 [1554]~P1(x15541)+E(f12(x15541,x15541,f7(x15541),x15542),f183(x15541))+~P21(f12(x15541,a2,f12(x15541,f166(x15541,a2),f199(x15541),f12(x15541,x15541,f4(x15541),x15542)),f183(x15541)))
% 19.04/19.06 [1822]~P27(x18221)+~P21(f12(x18221,a2,f12(x18221,f166(x18221,a2),f200(x18221),x18222),f183(x18221)))+P21(f12(x18221,a2,f12(x18221,f166(x18221,a2),f200(x18221),f12(x18221,x18221,f12(x18221,f166(x18221,x18221),f203(x18221),x18222),x18222)),f183(x18221)))
% 19.04/19.06 [1823]~P18(x18231)+~P21(f12(x18231,a2,f12(x18231,f166(x18231,a2),f200(x18231),x18232),f183(x18231)))+P21(f12(x18231,a2,f12(x18231,f166(x18231,a2),f200(x18231),f12(x18231,x18231,f12(x18231,f166(x18231,x18231),f203(x18231),x18232),x18232)),f183(x18231)))
% 19.04/19.06 [1824]~P18(x18241)+~P21(f12(x18241,a2,f12(x18241,f166(x18241,a2),f199(x18241),x18242),f183(x18241)))+P21(f12(x18241,a2,f12(x18241,f166(x18241,a2),f199(x18241),f12(x18241,x18241,f12(x18241,f166(x18241,x18241),f203(x18241),x18242),x18242)),f183(x18241)))
% 19.04/19.06 [1963]~P27(x19631)+~P21(f12(x19631,a2,f12(x19631,f166(x19631,a2),f200(x19631),f12(x19631,x19631,f12(x19631,f166(x19631,x19631),f203(x19631),x19632),x19632)),f183(x19631)))+P21(f12(x19631,a2,f12(x19631,f166(x19631,a2),f200(x19631),x19632),f183(x19631)))
% 19.04/19.06 [1964]~P18(x19641)+~P21(f12(x19641,a2,f12(x19641,f166(x19641,a2),f200(x19641),f12(x19641,x19641,f12(x19641,f166(x19641,x19641),f203(x19641),x19642),x19642)),f183(x19641)))+P21(f12(x19641,a2,f12(x19641,f166(x19641,a2),f200(x19641),x19642),f183(x19641)))
% 19.04/19.06 [1965]~P18(x19651)+~P21(f12(x19651,a2,f12(x19651,f166(x19651,a2),f199(x19651),f12(x19651,x19651,f12(x19651,f166(x19651,x19651),f203(x19651),x19652),x19652)),f183(x19651)))+P21(f12(x19651,a2,f12(x19651,f166(x19651,a2),f199(x19651),x19652),f183(x19651)))
% 19.04/19.06 [1041]~E(x10412,f183(a185))+~E(x10411,f183(a185))+E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x10411),x10412),f183(a185))
% 19.04/19.06 [1042]~E(x10422,f195(a185))+~E(x10421,f195(a185))+E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x10421),x10422),f195(a185))
% 19.04/19.06 [1080]~P18(x10801)+~E(f12(x10801,x10801,f7(x10801),x10802),f183(x10801))+E(f12(x10801,x10801,f12(x10801,f166(x10801,x10801),f203(x10801),x10802),x10802),f183(x10801))
% 19.04/19.06 [1090]E(x10901,f195(a185))+E(x10902,f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x10902),x10901),x10902)
% 19.04/19.06 [1091]E(x10911,f183(a185))+E(x10912,f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x10912),x10911),f183(a185))
% 19.04/19.06 [1098]~E(x10982,f183(a185))+~E(x10981,f12(a185,a185,a204,f183(a185)))+E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x10981),x10982),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1099]~E(x10991,f183(a185))+~E(x10992,f12(a185,a185,a204,f183(a185)))+E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x10991),x10992),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1102]~P18(x11021)+E(f12(x11021,x11021,f7(x11021),x11022),f183(x11021))+~E(f12(x11021,x11021,f12(x11021,f166(x11021,x11021),f203(x11021),x11022),x11022),f183(x11021))
% 19.04/19.06 [1107]~P21(x11072)+~P21(x11071)+P21(f12(a2,a2,f12(a2,f166(a2,a2),a168,x11071),x11072))
% 19.04/19.06 [1125]E(x11251,f183(a185))+E(x11252,f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x11252),x11251),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1129]~E(f12(f166(x11291,a2),a185,f167(x11291),x11292),f183(a185))+E(f12(f166(x11291,a2),f166(x11291,a2),f7(f166(x11291,a2)),x11292),f6(f166(x11291,a2)))+~P21(f12(f166(x11291,a2),a2,f175(x11291),x11292))
% 19.04/19.06 [1137]~E(x11372,f12(a185,a185,a204,f183(a185)))+~E(x11371,f12(a185,a185,a204,f183(a185)))+E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11371),x11372),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1141]E(f12(f166(x11411,a2),f166(x11411,a2),f7(f166(x11411,a2)),x11412),f6(f166(x11411,a2)))+~P21(f12(f166(x11411,a2),a2,f175(x11411),x11412))+P21(f12(f166(x11411,a2),a2,f175(x11411),f77(x11411,x11412)))
% 19.04/19.06 [1146]E(x11461,f183(a185))+E(x11461,f12(a185,a185,a204,f183(a185)))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x11462),x11461),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1147]E(x11471,f183(a185))+E(x11471,f12(a185,a185,a204,f183(a185)))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x11471),x11472),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1150]~P8(x11501)+E(f12(x11501,x11501,f7(x11501),x11502),f6(x11501))+P21(f12(x11501,a2,f12(x11501,f166(x11501,a2),f200(x11501),f6(x11501)),x11502))
% 19.04/19.06 [1161]E(x11611,f12(a185,a185,a204,f183(a185)))+E(x11612,f12(a185,a185,a204,f183(a185)))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x11611),x11612),f12(a185,a185,a204,f183(a185)))
% 19.04/19.06 [1181]P21(x11811)+P21(x11812)+~P21(f12(a2,a2,f12(a2,f166(a2,a2),a169,x11812),x11811))
% 19.04/19.06 [1182]P21(x11821)+~P21(x11822)+~P21(f12(a2,a2,f12(a2,f166(a2,a2),a170,x11822),x11821))
% 19.04/19.06 [1196]E(x11961,x11962)+~E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x11962),x11961),f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x11961),x11962),f183(a185))
% 19.04/19.06 [1199]~P37(x11991)+E(f12(a185,x11991,f205(x11991),f12(a1,a185,f191(a185),x11992)),f12(a1,x11991,f191(x11991),x11992))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x11992)))
% 19.04/19.06 [1221]E(f12(f166(x12211,a2),f166(x12211,a2),f12(x12211,f166(f166(x12211,a2),f166(x12211,a2)),f182(x12211),f87(x12211,x12212)),f77(x12211,x12212)),f12(f166(x12211,a2),f166(x12211,a2),f7(f166(x12211,a2)),x12212))+E(f12(f166(x12211,a2),f166(x12211,a2),f7(f166(x12211,a2)),x12212),f6(f166(x12211,a2)))+~P21(f12(f166(x12211,a2),a2,f175(x12211),x12212))
% 19.04/19.06 [1228]~P21(f12(a185,a2,x12281,x12282))+P21(f12(a185,a2,x12281,f183(a185)))+P21(f12(a185,a2,x12281,f12(a185,a185,a204,f160(x12281))))
% 19.04/19.06 [1236]~P1(x12361)+E(f12(x12361,x12361,f7(x12361),x12362),f183(x12361))+P21(f12(x12361,a2,f12(x12361,f166(x12361,a2),f200(x12361),f183(x12361)),f12(x12361,x12361,f4(x12361),x12362)))
% 19.04/19.06 [1239]~P21(f12(a185,a2,x12391,x12392))+P21(f12(a185,a2,x12391,f183(a185)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f148(x12392,x12391)),x12392))
% 19.04/19.06 [1240]~P21(f12(a185,a2,x12401,x12402))+P21(f12(a185,a2,x12401,f183(a185)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f153(x12402,x12401)),x12402))
% 19.04/19.06 [1243]~P8(x12431)+~E(f12(x12431,x12431,f7(x12431),x12432),f6(x12431))+~P21(f12(x12431,a2,f12(x12431,f166(x12431,a2),f200(x12431),f6(x12431)),x12432))
% 19.04/19.06 [1244]E(x12441,f12(a185,a185,a204,x12442))+E(f12(a185,a185,a204,f120(x12442,x12441)),x12441)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x12442),x12441))
% 19.04/19.06 [1255]~P1(x12551)+E(f12(x12551,x12551,f4(x12551),x12552),f12(x12551,x12551,f7(x12551),x12552))+~P21(f12(x12551,a2,f12(x12551,f166(x12551,a2),f200(x12551),f183(x12551)),x12552))
% 19.04/19.06 [1256]~P1(x12561)+E(f12(x12561,x12561,f4(x12561),x12562),f12(x12561,x12561,f7(x12561),x12562))+~P21(f12(x12561,a2,f12(x12561,f166(x12561,a2),f199(x12561),f183(x12561)),x12562))
% 19.04/19.06 [1258]~P37(x12581)+E(f12(a185,x12581,f205(x12581),f12(a1,a185,f191(a185),x12582)),f183(x12581))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x12582)))
% 19.04/19.06 [1259]E(f12(f166(x12591,a2),a185,f167(x12591),x12592),f183(a185))+~P21(f12(f166(x12591,a2),a2,f175(x12591),x12592))+P21(f12(f166(x12591,a2),a2,f12(x12591,f166(f166(x12591,a2),a2),f189(x12591),f154(x12591,x12592)),x12592))
% 19.04/19.06 [1268]E(x12681,x12682)+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x12682),x12681))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x12681),x12682))
% 19.04/19.06 [1269]E(x12691,x12692)+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x12692),x12691))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x12691),x12692))
% 19.04/19.06 [1304]~P37(x13041)+E(f12(a185,x13041,f205(x13041),f12(a1,a185,f191(a185),x13042)),f183(x13041))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a1,a1,f191(a1),x13042)))
% 19.04/19.06 [1334]E(x13341,f195(a1))+~E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x13342),x13341),f195(a1))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x13342))
% 19.04/19.06 [1335]E(x13351,f195(a1))+~E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x13351),x13352),f195(a1))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x13351))
% 19.04/19.06 [1338]P21(f12(a185,a2,x13381,x13382))+~P21(f12(a185,a2,x13381,f183(a185)))+~P21(f12(a185,a2,x13381,f12(a185,a185,a204,f161(x13382,x13381))))
% 19.04/19.06 [1350]E(f12(f166(x13501,a2),f166(x13501,a2),f7(f166(x13501,a2)),x13502),f6(f166(x13501,a2)))+~P21(f12(f166(x13501,a2),a2,f175(x13501),x13502))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(f166(x13501,a2),a185,f167(x13501),x13502)))
% 19.04/19.06 [1366]E(x13661,x13662)+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13661),x13662))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x13661),x13662))
% 19.04/19.06 [1367]E(x13671,x13672)+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x13671),x13672))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x13671),x13672))
% 19.04/19.06 [1399]E(x13991,f12(a185,a185,a204,x13992))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13992),f120(x13992,x13991)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x13992),x13991))
% 19.04/19.06 [1410]~P1(x14101)+~E(f12(x14101,x14101,f7(x14101),x14102),f183(x14101))+~P21(f12(x14101,a2,f12(x14101,f166(x14101,a2),f200(x14101),f183(x14101)),f12(x14101,x14101,f4(x14101),x14102)))
% 19.04/19.06 [1433]~P21(f12(a1,a2,x14331,x14332))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x14332))+P21(f12(a1,a2,x14331,f12(a185,a1,f205(a1),f46(x14331))))
% 19.04/19.06 [1455]E(x14551,x14552)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14552),x14551))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14551),x14552))
% 19.04/19.06 [1456]E(x14561,x14562)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x14562),x14561))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x14561),x14562))
% 19.04/19.06 [1481]~P37(x14811)+E(f12(a185,x14811,f205(x14811),f12(a1,a185,f191(a185),x14812)),f12(a1,x14811,f191(x14811),x14812))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a1,a1,f191(a1),x14812)))
% 19.04/19.06 [1489]~P21(f12(a185,a2,x14891,x14892))+P21(f12(a185,a2,x14891,f183(a185)))+P21(f12(a185,a2,x14891,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f148(x14892,x14891)),f195(a185))))
% 19.04/19.06 [1491]~P26(x14911)+P21(f12(x14911,a2,f12(x14911,f166(x14911,a2),f200(x14911),f183(x14911)),f12(a185,x14911,f205(x14911),x14912)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x14912))
% 19.04/19.06 [1494]~P21(f12(f166(a185,a2),a2,f175(a185),x14942))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x14941),f107(x14942)))+~P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),x14941),x14942))
% 19.04/19.06 [1495]~P21(f12(f166(a185,a2),a2,f175(a185),x14952))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14951),f59(x14952)))+~P21(f12(f166(a185,a2),a2,f12(a185,f166(f166(a185,a2),a2),f189(a185),x14951),x14952))
% 19.04/19.06 [1499]P21(f12(a1,a2,x14991,x14992))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x14992))+~P21(f12(a1,a2,x14991,f12(a185,a1,f205(a1),f49(x14991))))
% 19.04/19.06 [1522]E(x15221,x15222)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15221),f12(a185,a185,a204,x15222)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15221),x15222))
% 19.04/19.06 [1531]E(x15311,f183(a185))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15311),f12(a185,a185,a204,x15312)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f149(x15311,x15312)),x15312))
% 19.04/19.06 [1534]~P26(x15342)+~P21(f12(x15342,a2,f12(x15342,f166(x15342,a2),f200(x15342),f183(x15342)),f12(a185,x15342,f205(x15342),x15341)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x15341))
% 19.04/19.06 [1543]E(x15431,f12(a185,a185,a204,x15432))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15431),f12(a185,a185,a204,x15432)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15431),x15432))
% 19.04/19.06 [1561]E(f12(a185,a185,a204,x15611),x15612)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15611),x15612))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,x15611)),x15612))
% 19.04/19.06 [1574]E(x15741,x15742)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15741),f12(a185,a185,a204,x15742)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15742),x15741))
% 19.04/19.06 [1598]~E(f12(a1,a185,f191(a185),x15982),f12(a1,a185,f191(a185),x15981))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f191(a1),x15981)),f183(a1)))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x15982)))
% 19.04/19.06 [1697]E(f12(a1,a185,f191(a185),x16971),f12(a1,a185,f191(a185),x16972))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f191(a1),x16972)),f183(a1)))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x16971)))
% 19.04/19.06 [1734]E(x17341,x17342)+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17341),x17342))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17341),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x17342),f195(a1))))
% 19.04/19.06 [1669]~P18(x16691)+~P21(f12(x16691,a2,f12(x16691,f166(x16691,a2),f200(x16691),f183(x16691)),x16692))+P21(f12(x16691,a2,f12(x16691,f166(x16691,a2),f200(x16691),f183(x16691)),f12(x16691,x16691,f12(x16691,f166(x16691,x16691),f203(x16691),x16692),x16692)))
% 19.04/19.06 [1670]~P18(x16701)+~P21(f12(x16701,a2,f12(x16701,f166(x16701,a2),f199(x16701),f183(x16701)),x16702))+P21(f12(x16701,a2,f12(x16701,f166(x16701,a2),f199(x16701),f183(x16701)),f12(x16701,x16701,f12(x16701,f166(x16701,x16701),f203(x16701),x16702),x16702)))
% 19.04/19.06 [1748]~P18(x17481)+P21(f12(x17481,a2,f12(x17481,f166(x17481,a2),f200(x17481),f183(x17481)),x17482))+~P21(f12(x17481,a2,f12(x17481,f166(x17481,a2),f200(x17481),f183(x17481)),f12(x17481,x17481,f12(x17481,f166(x17481,x17481),f203(x17481),x17482),x17482)))
% 19.04/19.06 [1749]~P18(x17491)+P21(f12(x17491,a2,f12(x17491,f166(x17491,a2),f199(x17491),f183(x17491)),x17492))+~P21(f12(x17491,a2,f12(x17491,f166(x17491,a2),f199(x17491),f183(x17491)),f12(x17491,x17491,f12(x17491,f166(x17491,x17491),f203(x17491),x17492),x17492)))
% 19.04/19.06 [1765]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x17652))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x17651))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a1,a1,f12(a1,f166(a1,a1),a194,x17651),x17652)))
% 19.04/19.06 [1767]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x17672))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x17671))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x17671),x17672)))
% 19.04/19.06 [1768]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x17682))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x17681))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x17681),x17682)))
% 19.04/19.06 [1769]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x17692))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x17691))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x17691),x17692)))
% 19.04/19.06 [1819]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x18191))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x18192))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x18192),x18191)))
% 19.04/19.06 [1884]~P21(f12(a8,a2,a218,x18842))+P21(f12(f166(a201,a2),a2,f12(a201,f166(f166(a201,a2),a2),f189(a201),f74(x18841,x18842)),a209))+P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),a198,x18841),f12(f166(a217,a2),f166(a217,a2),f12(a217,f166(f166(a217,a2),f166(a217,a2)),f182(a217),f12(a8,a217,a188,x18842)),f6(f166(a217,a2)))))
% 19.04/19.06 [1985]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,f183(a185))),x19851))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,f183(a185))),x19852))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19851),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19852),x19851)))
% 19.04/19.06 [1986]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,f183(a185))),x19861))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,f183(a185))),x19862))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19861),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19861),x19862)))
% 19.04/19.06 [2039]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,f183(a185))),x20392))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,f183(a185))),x20391))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,f183(a185))),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20391),x20392)))
% 19.04/19.06 [2040]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,f183(a185))),x20401))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,f183(a185))),x20402))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,f183(a185))),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20401),x20402)))
% 19.04/19.06 [2145]~P21(f12(a8,a2,a218,x21452))+~P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),a198,x21451),f12(f166(a217,a2),f166(a217,a2),f12(a217,f166(f166(a217,a2),f166(a217,a2)),f182(a217),f12(a201,a217,a187,f74(x21451,x21452))),f6(f166(a217,a2)))))+P21(f12(f166(a217,a2),a2,f12(f166(a217,a2),f166(f166(a217,a2),a2),a198,x21451),f12(f166(a217,a2),f166(a217,a2),f12(a217,f166(f166(a217,a2),f166(a217,a2)),f182(a217),f12(a8,a217,a188,x21452)),f6(f166(a217,a2)))))
% 19.04/19.06 [1755]~P57(x17551)+~P21(f12(f166(x17551,a2),a2,f12(x17551,f166(f166(x17551,a2),a2),f189(x17551),x17552),f206(x17551)))+~E(f12(x17551,x17551,f12(x17551,f166(x17551,x17551),f203(x17551),f12(x17551,x17551,f12(x17551,f166(x17551,x17551),f203(x17551),f195(x17551)),x17552)),x17552),f183(x17551))
% 19.04/19.06 [1888]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x18881))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x18882))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18881),x18882)),x18881))
% 19.04/19.06 [2182]P21(f12(a1,a2,x21822,f30(x21822,x21821)))+P21(f12(a1,a2,x21821,f30(x21822,x21821)))+E(f12(f166(a1,a2),f166(a1,a2),f9(a1),f12(f166(a1,a2),f166(a1,a2),f12(f166(a1,f166(a2,a2)),f166(f166(a1,a2),f166(a1,a2)),f15(a1,a2,a2),f12(f166(a1,a2),f166(a1,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a1,a2),f166(a1,f166(a2,a2))),f10(a2,f166(a2,a2),a1),a168),f12(a1,f166(a1,a2),f199(a1),f183(a1)))),x21821)),f12(f166(a1,a2),f166(a1,a2),f9(a1),f12(f166(a1,a2),f166(a1,a2),f12(f166(a1,f166(a2,a2)),f166(f166(a1,a2),f166(a1,a2)),f15(a1,a2,a2),f12(f166(a1,a2),f166(a1,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a1,a2),f166(a1,f166(a2,a2))),f10(a2,f166(a2,a2),a1),a168),f12(a1,f166(a1,a2),f199(a1),f183(a1)))),x21822)))
% 19.04/19.06 [2186]~P21(f12(a1,a2,x21862,f30(x21862,x21861)))+~P21(f12(a1,a2,x21861,f30(x21862,x21861)))+E(f12(f166(a1,a2),f166(a1,a2),f9(a1),f12(f166(a1,a2),f166(a1,a2),f12(f166(a1,f166(a2,a2)),f166(f166(a1,a2),f166(a1,a2)),f15(a1,a2,a2),f12(f166(a1,a2),f166(a1,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a1,a2),f166(a1,f166(a2,a2))),f10(a2,f166(a2,a2),a1),a168),f12(a1,f166(a1,a2),f199(a1),f183(a1)))),x21861)),f12(f166(a1,a2),f166(a1,a2),f9(a1),f12(f166(a1,a2),f166(a1,a2),f12(f166(a1,f166(a2,a2)),f166(f166(a1,a2),f166(a1,a2)),f15(a1,a2,a2),f12(f166(a1,a2),f166(a1,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(a1,a2),f166(a1,f166(a2,a2))),f10(a2,f166(a2,a2),a1),a168),f12(a1,f166(a1,a2),f199(a1),f183(a1)))),x21862)))
% 19.04/19.06 [1043]~P60(x10433)+E(x10431,x10432)+~E(f12(a185,x10433,f205(x10433),x10431),f12(a185,x10433,f205(x10433),x10432))
% 19.04/19.06 [1094]~E(x10943,f183(a185))+E(f12(f166(x10941,a2),f166(x10941,a2),f7(f166(x10941,a2)),f75(x10941,x10942,x10943)),f6(f166(x10941,a2)))+~E(f12(f166(x10941,a2),a185,f167(x10941),x10942),f12(a185,a185,a204,x10943))
% 19.04/19.06 [1095]~E(x10953,f183(a185))+E(f12(f166(x10951,a2),f166(x10951,a2),f7(f166(x10951,a2)),f152(x10951,x10952,x10953)),f6(f166(x10951,a2)))+~E(f12(f166(x10951,a2),a185,f167(x10951),x10952),f12(a185,a185,a204,x10953))
% 19.04/19.06 [1153]E(f12(f166(x11531,a2),x11531,f212(x11531),x11532),f12(x11531,x11531,f7(x11531),x11533))+~P21(f12(x11531,a2,x11532,x11533))+P21(f12(x11531,a2,x11532,f91(x11531,x11532,x11533)))
% 19.04/19.06 [1165]~E(f12(x11651,x11651,f7(x11651),f91(x11651,x11652,x11653)),f12(x11651,x11651,f7(x11651),x11653))+E(f12(f166(x11651,a2),x11651,f212(x11651),x11652),f12(x11651,x11651,f7(x11651),x11653))+~P21(f12(x11651,a2,x11652,x11653))
% 19.04/19.06 [2225]~P24(x22251)+E(f12(x22251,x22251,f7(x22251),x22252),f183(x22251))+~P21(f12(x22251,a2,f12(x22251,f166(x22251,a2),f199(x22251),f12(x22251,x22251,f12(x22251,f166(x22251,x22251),f203(x22251),f12(x22251,x22251,f12(x22251,f166(x22251,x22251),f216(x22251),x22253),x22253)),f12(x22251,x22251,f12(x22251,f166(x22251,x22251),f216(x22251),x22252),x22252))),f183(x22251)))
% 19.04/19.06 [2226]~P24(x22261)+E(f12(x22261,x22261,f7(x22261),x22262),f183(x22261))+~P21(f12(x22261,a2,f12(x22261,f166(x22261,a2),f199(x22261),f12(x22261,x22261,f12(x22261,f166(x22261,x22261),f203(x22261),f12(x22261,x22261,f12(x22261,f166(x22261,x22261),f216(x22261),x22262),x22262)),f12(x22261,x22261,f12(x22261,f166(x22261,x22261),f216(x22261),x22263),x22263))),f183(x22261)))
% 19.04/19.06 [1081]~P56(x10811)+~E(f12(x10811,x10811,f7(x10811),x10813),f183(x10811))+E(f12(x10811,x10811,f12(x10811,f166(x10811,x10811),f216(x10811),x10812),x10813),f183(x10811))
% 19.04/19.06 [1082]~P56(x10821)+~E(f12(x10821,x10821,f7(x10821),x10822),f183(x10821))+E(f12(x10821,x10821,f12(x10821,f166(x10821,x10821),f216(x10821),x10822),x10823),f183(x10821))
% 19.04/19.06 [1100]~P55(x11001)+~E(f12(x11001,x11001,f7(x11001),x11003),f183(x11001))+E(f12(x11001,x11001,f12(x11001,f166(x11001,x11001),f203(x11001),x11002),x11003),f12(x11001,x11001,f7(x11001),x11002))
% 19.04/19.06 [1119]~E(x11192,x11193)+~P43(x11191)+P21(f12(x11191,a2,f12(x11191,f166(x11191,a2),f199(x11191),x11192),x11193))
% 19.04/19.06 [1120]~P5(x11201)+~E(f12(x11201,x11201,f7(x11201),x11202),f12(x11201,x11201,f7(x11201),x11203))+E(f12(x11201,x11201,f12(x11201,f166(x11201,x11201),f190(x11201),x11202),x11203),f183(x11201))
% 19.04/19.06 [1121]~P17(x11211)+~E(f12(x11211,x11211,f7(x11211),x11212),f12(x11211,x11211,f7(x11211),x11213))+E(f12(x11211,x11211,f12(x11211,f166(x11211,x11211),f190(x11211),x11212),x11213),f183(x11211))
% 19.04/19.06 [1132]~P5(x11321)+E(f12(x11321,x11321,f7(x11321),x11322),f12(x11321,x11321,f7(x11321),x11323))+~E(f12(x11321,x11321,f12(x11321,f166(x11321,x11321),f190(x11321),x11322),x11323),f183(x11321))
% 19.04/19.06 [1133]~P17(x11331)+E(f12(x11331,x11331,f7(x11331),x11332),f12(x11331,x11331,f7(x11331),x11333))+~E(f12(x11331,x11331,f12(x11331,f166(x11331,x11331),f190(x11331),x11332),x11333),f183(x11331))
% 19.04/19.06 [1151]~P55(x11511)+E(f12(x11511,x11511,f7(x11511),x11512),f183(x11511))+~E(f12(x11511,x11511,f12(x11511,f166(x11511,x11511),f203(x11511),x11513),x11512),f12(x11511,x11511,f7(x11511),x11513))
% 19.04/19.06 [1173]~P40(x11731)+~E(f12(x11731,x11731,f7(x11731),x11732),f12(x11731,x11731,f7(x11731),x11733))+P21(f12(x11731,a2,f12(x11731,f166(x11731,a2),f199(x11731),x11732),x11733))
% 19.04/19.06 [1186]E(x11861,x11862)+E(x11863,f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11863),x11861),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11863),x11862))
% 19.04/19.06 [1187]E(x11871,x11872)+E(x11873,f183(a185))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11871),x11873),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x11872),x11873))
% 19.04/19.06 [1260]~P21(f12(x12601,a2,x12602,x12603))+P21(f12(x12601,a2,x12602,f104(x12601,x12602,x12603)))+P21(f12(x12601,a2,x12602,f12(f166(x12601,a2),x12601,f212(x12601),x12602)))
% 19.04/19.06 [1261]~P21(f12(x12611,a2,x12612,x12613))+P21(f12(x12611,a2,x12612,f105(x12611,x12612,x12613)))+P21(f12(x12611,a2,x12612,f12(f166(x12611,a2),x12611,f212(x12611),x12612)))
% 19.04/19.06 [1287]~P16(x12871)+P21(f12(x12871,a2,f12(x12871,f166(x12871,a2),f199(x12871),x12873),x12872))+P21(f12(x12871,a2,f12(x12871,f166(x12871,a2),f200(x12871),x12872),x12873))
% 19.04/19.06 [1289]~P16(x12891)+P21(f12(x12891,a2,f12(x12891,f166(x12891,a2),f199(x12891),x12893),x12892))+P21(f12(x12891,a2,f12(x12891,f166(x12891,a2),f199(x12891),x12892),x12893))
% 19.04/19.06 [1300]~P40(x13001)+~E(f12(x13001,x13001,f7(x13001),x13002),f12(x13001,x13001,f7(x13001),x13003))+~P21(f12(x13001,a2,f12(x13001,f166(x13001,a2),f200(x13001),x13002),x13003))
% 19.04/19.06 [1303]~P16(x13031)+~E(f12(x13031,x13031,f7(x13031),x13032),f12(x13031,x13031,f7(x13031),x13033))+~P21(f12(x13031,a2,f12(x13031,f166(x13031,a2),f200(x13031),x13032),x13033))
% 19.04/19.06 [1305]~E(f12(x13051,x13051,f7(x13051),f104(x13051,x13052,x13053)),f12(x13051,x13051,f7(x13051),x13053))+~P21(f12(x13051,a2,x13052,x13053))+P21(f12(x13051,a2,x13052,f12(f166(x13051,a2),x13051,f212(x13051),x13052)))
% 19.04/19.06 [1306]~E(f12(x13061,x13061,f7(x13061),f105(x13061,x13062,x13063)),f12(x13061,x13061,f7(x13061),x13063))+~P21(f12(x13061,a2,x13062,x13063))+P21(f12(x13061,a2,x13062,f12(f166(x13061,a2),x13061,f212(x13061),x13062)))
% 19.04/19.06 [1309]~P28(x13091)+P21(f12(x13091,a2,f12(x13091,f166(x13091,a2),f200(x13091),f183(x13091)),f162(x13091,x13092,x13093)))+P21(f12(x13091,a2,f12(x13091,f166(x13091,a2),f199(x13091),x13092),x13093))
% 19.04/19.06 [1310]~P22(x13101)+P21(f12(x13101,a2,f12(x13101,f166(x13101,a2),f200(x13101),f183(x13101)),f19(x13101,x13102,x13103)))+P21(f12(x13101,a2,f12(x13101,f166(x13101,a2),f199(x13101),x13102),x13103))
% 19.04/19.06 [1321]~P15(x13211)+P21(f12(x13211,a2,f12(x13211,f166(x13211,a2),f200(x13211),f135(x13211,x13213,x13212)),x13212))+P21(f12(x13211,a2,f12(x13211,f166(x13211,a2),f199(x13211),x13212),x13213))
% 19.04/19.06 [1323]~P22(x13231)+P21(f12(x13231,a2,f12(x13231,f166(x13231,a2),f200(x13231),f19(x13231,x13232,x13233)),f195(x13231)))+P21(f12(x13231,a2,f12(x13231,f166(x13231,a2),f199(x13231),x13232),x13233))
% 19.04/19.06 [1377]~P40(x13771)+~P21(f12(x13771,a2,f12(x13771,f166(x13771,a2),f200(x13771),x13772),x13773))+P21(f12(x13771,a2,f12(x13771,f166(x13771,a2),f199(x13771),x13772),x13773))
% 19.04/19.06 [1379]~P43(x13791)+~P21(f12(x13791,a2,f12(x13791,f166(x13791,a2),f200(x13791),x13792),x13793))+P21(f12(x13791,a2,f12(x13791,f166(x13791,a2),f199(x13791),x13792),x13793))
% 19.04/19.06 [1388]~P16(x13881)+~P21(f12(x13881,a2,f12(x13881,f166(x13881,a2),f200(x13881),x13882),f20(x13881,x13883)))+P21(f12(x13881,a2,f12(x13881,f166(x13881,a2),f199(x13881),x13882),x13883))
% 19.04/19.06 [1392]~P16(x13921)+~P21(f12(x13921,a2,f12(x13921,f166(x13921,a2),f200(x13921),f33(x13921,x13922)),x13923))+P21(f12(x13921,a2,f12(x13921,f166(x13921,a2),f199(x13921),x13922),x13923))
% 19.04/19.06 [1406]~E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x14061),x14063),x14062)+E(x14061,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x14062),x14063))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14063),x14061))
% 19.04/19.06 [1407]~E(x14071,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x14073),x14072))+E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x14071),x14072),x14073)+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14072),x14071))
% 19.04/19.06 [1437]~P15(x14371)+~P21(f12(x14371,a2,f12(x14371,f166(x14371,a2),f199(x14371),f135(x14371,x14373,x14372)),x14373))+P21(f12(x14371,a2,f12(x14371,f166(x14371,a2),f199(x14371),x14372),x14373))
% 19.04/19.06 [1458]E(x14581,x14582)+~E(f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x14583),x14581),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x14583),x14582))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x14583))
% 19.04/19.06 [1471]~P40(x14711)+~P21(f12(x14711,a2,f12(x14711,f166(x14711,a2),f200(x14711),x14713),x14712))+~P21(f12(x14711,a2,f12(x14711,f166(x14711,a2),f200(x14711),x14712),x14713))
% 19.04/19.06 [1475]~P43(x14751)+~P21(f12(x14751,a2,f12(x14751,f166(x14751,a2),f200(x14751),x14753),x14752))+~P21(f12(x14751,a2,f12(x14751,f166(x14751,a2),f200(x14751),x14752),x14753))
% 19.04/19.06 [1476]~P43(x14761)+~P21(f12(x14761,a2,f12(x14761,f166(x14761,a2),f199(x14761),x14763),x14762))+~P21(f12(x14761,a2,f12(x14761,f166(x14761,a2),f200(x14761),x14762),x14763))
% 19.04/19.06 [1477]~P16(x14771)+~P21(f12(x14771,a2,f12(x14771,f166(x14771,a2),f200(x14771),x14773),x14772))+~P21(f12(x14771,a2,f12(x14771,f166(x14771,a2),f200(x14771),x14772),x14773))
% 19.04/19.06 [1480]~P16(x14801)+~P21(f12(x14801,a2,f12(x14801,f166(x14801,a2),f199(x14801),x14803),x14802))+~P21(f12(x14801,a2,f12(x14801,f166(x14801,a2),f200(x14801),x14802),x14803))
% 19.04/19.06 [1490]~P16(x14901)+~P21(f12(x14901,a2,f12(x14901,f166(x14901,a2),f200(x14901),x14903),f27(x14901,x14902)))+~P21(f12(x14901,a2,f12(x14901,f166(x14901,a2),f199(x14901),x14902),x14903))
% 19.04/19.06 [1493]~P16(x14931)+~P21(f12(x14931,a2,f12(x14931,f166(x14931,a2),f200(x14931),f32(x14931,x14933)),x14932))+~P21(f12(x14931,a2,f12(x14931,f166(x14931,a2),f199(x14931),x14932),x14933))
% 19.04/19.06 [1500]~E(x15001,f12(a185,a185,a204,x15003))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15001),f12(a185,a185,a204,x15002)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15003),x15002))
% 19.04/19.06 [1584]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15841),x15843))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15841),x15842))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15843),x15842))
% 19.04/19.06 [1585]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x15851),x15853))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x15851),x15852))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x15853),x15852))
% 19.04/19.06 [1637]~P26(x16371)+P21(f12(x16371,a2,f12(x16371,f166(x16371,a2),f199(x16371),f12(a185,x16371,f205(x16371),x16372)),f12(a185,x16371,f205(x16371),x16373)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16372),x16373))
% 19.04/19.06 [1638]~P26(x16381)+P21(f12(x16381,a2,f12(x16381,f166(x16381,a2),f200(x16381),f12(a185,x16381,f205(x16381),x16382)),f12(a185,x16381,f205(x16381),x16383)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16382),x16383))
% 19.04/19.06 [1698]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16981),x16983))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x16983),x16982))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,a204,x16981)),x16982))
% 19.04/19.06 [1723]~P26(x17233)+~P21(f12(x17233,a2,f12(x17233,f166(x17233,a2),f200(x17233),f12(a185,x17233,f205(x17233),x17231)),f12(a185,x17233,f205(x17233),x17232)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x17231),x17232))
% 19.04/19.06 [1724]~P26(x17243)+~P21(f12(x17243,a2,f12(x17243,f166(x17243,a2),f199(x17243),f12(a185,x17243,f205(x17243),x17241)),f12(a185,x17243,f205(x17243),x17242)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x17241),x17242))
% 19.04/19.06 [1745]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f121(x17451,x17452,x17453)),f122(x17451,x17452,x17453)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,x17453,x17451)),f12(a185,a185,x17453,x17452)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x17451),x17452))
% 19.04/19.06 [1775]~P28(x17751)+~P21(f12(x17751,a2,f12(x17751,f166(x17751,a2),f199(x17751),x17752),f12(x17751,x17751,f12(x17751,f166(x17751,x17751),f203(x17751),x17753),f162(x17751,x17752,x17753))))+P21(f12(x17751,a2,f12(x17751,f166(x17751,a2),f199(x17751),x17752),x17753))
% 19.04/19.06 [1820]~P44(x18201)+P21(f12(x18201,a2,f12(x18201,f166(x18201,a2),f200(x18201),f12(x18201,x18201,f12(x18201,f166(x18201,x18201),f190(x18201),x18202),x18203)),f183(x18201)))+~P21(f12(x18201,a2,f12(x18201,f166(x18201,a2),f200(x18201),x18202),x18203))
% 19.04/19.06 [1821]~P44(x18211)+P21(f12(x18211,a2,f12(x18211,f166(x18211,a2),f199(x18211),f12(x18211,x18211,f12(x18211,f166(x18211,x18211),f190(x18211),x18212),x18213)),f183(x18211)))+~P21(f12(x18211,a2,f12(x18211,f166(x18211,a2),f199(x18211),x18212),x18213))
% 19.04/19.06 [1960]~P44(x19601)+~P21(f12(x19601,a2,f12(x19601,f166(x19601,a2),f200(x19601),f12(x19601,x19601,f12(x19601,f166(x19601,x19601),f190(x19601),x19602),x19603)),f183(x19601)))+P21(f12(x19601,a2,f12(x19601,f166(x19601,a2),f200(x19601),x19602),x19603))
% 19.04/19.06 [1961]~P44(x19611)+~P21(f12(x19611,a2,f12(x19611,f166(x19611,a2),f199(x19611),f12(x19611,x19611,f12(x19611,f166(x19611,x19611),f190(x19611),x19612),x19613)),f183(x19611)))+P21(f12(x19611,a2,f12(x19611,f166(x19611,a2),f199(x19611),x19612),x19613))
% 19.04/19.06 [2004]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,x20041,x20042)),f12(a185,a185,x20041,x20043)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20042),x20043))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,x20041,f121(x20042,x20043,x20041))),f12(a185,a185,x20041,f122(x20042,x20043,x20041))))
% 19.04/19.06 [2218]~P21(f12(f166(x22181,a2),a2,f175(x22181),x22182))+~P21(f12(f166(x22181,a2),a2,f12(x22181,f166(f166(x22181,a2),a2),f189(x22181),x22183),x22182))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(f166(x22181,a2),a185,f167(x22181),f12(f166(x22181,a2),f166(x22181,a2),f12(f166(x22181,a2),f166(f166(x22181,a2),f166(x22181,a2)),f190(f166(x22181,a2)),x22182),f12(f166(x22181,a2),f166(x22181,a2),f12(x22181,f166(f166(x22181,a2),f166(x22181,a2)),f182(x22181),x22183),f6(f166(x22181,a2)))))),f12(f166(x22181,a2),a185,f167(x22181),x22182)))
% 19.04/19.06 [1432]~P21(f12(f166(x14321,a2),a2,f175(x14321),x14323))+P21(f12(f166(x14321,a2),a2,f175(x14321),x14322))+~P21(f12(f166(x14321,a2),a2,f12(f166(x14321,a2),f166(f166(x14321,a2),a2),f199(f166(x14321,a2)),x14322),x14323))
% 19.04/19.06 [1497]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x14971),f150(x14972,x14973,x14971)),x14973)+~P21(f12(a185,a2,x14972,f183(a185)))+P21(f12(a185,a2,x14972,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x14973),x14971)))
% 19.04/19.06 [1498]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x14981),f151(x14982,x14983,x14981)),x14983)+~P21(f12(a185,a2,x14982,f183(a185)))+P21(f12(a185,a2,x14982,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x14983),x14981)))
% 19.04/19.06 [1506]~P21(f12(a185,a2,x15061,x15062))+~P21(f12(a185,a2,x15061,f111(x15063,x15061,x15062)))+P21(f12(a185,a2,x15061,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15062),x15063)))
% 19.04/19.06 [1509]~P21(f12(a185,a2,x15091,f150(x15091,x15092,x15093)))+~P21(f12(a185,a2,x15091,f183(a185)))+P21(f12(a185,a2,x15091,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15092),x15093)))
% 19.04/19.06 [1510]~P21(f12(a185,a2,x15101,f151(x15101,x15102,x15103)))+~P21(f12(a185,a2,x15101,f183(a185)))+P21(f12(a185,a2,x15101,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15102),x15103)))
% 19.04/19.06 [1546]~P21(f12(f166(x15461,a2),a2,f175(x15461),x15463))+E(f12(f166(x15461,a2),a185,f167(x15461),f12(f166(x15461,a2),f166(x15461,a2),f12(x15461,f166(f166(x15461,a2),f166(x15461,a2)),f182(x15461),x15462),x15463)),f12(a185,a185,a204,f12(f166(x15461,a2),a185,f167(x15461),x15463)))+P21(f12(f166(x15461,a2),a2,f12(x15461,f166(f166(x15461,a2),a2),f189(x15461),x15462),x15463))
% 19.04/19.06 [1556]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x15561),f150(x15562,x15563,x15561)),x15563)+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15563),x15561))+P21(f12(a185,a2,x15562,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15563),x15561)))
% 19.04/19.06 [1557]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x15571),f151(x15572,x15573,x15571)),x15573)+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15573),x15571))+P21(f12(a185,a2,x15572,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15573),x15571)))
% 19.04/19.06 [1559]E(f12(f166(x15591,a2),f166(x15591,a2),f7(f166(x15591,a2)),x15592),f12(f166(x15591,a2),f166(x15591,a2),f7(f166(x15591,a2)),x15593))+~P21(f12(f166(x15591,a2),a2,f12(f166(x15591,a2),f166(f166(x15591,a2),a2),f199(f166(x15591,a2)),x15592),x15593))+P21(f12(f166(x15591,a2),a2,f12(f166(x15591,a2),f166(f166(x15591,a2),a2),f200(f166(x15591,a2)),x15592),x15593))
% 19.04/19.06 [1562]~P27(x15621)+E(f12(x15621,x15621,f12(x15621,f166(x15621,x15621),f216(x15621),f12(x15621,x15621,f4(x15621),x15622)),x15623),f12(x15621,x15621,f4(x15621),f12(x15621,x15621,f12(x15621,f166(x15621,x15621),f216(x15621),x15622),x15623)))+~P21(f12(x15621,a2,f12(x15621,f166(x15621,a2),f199(x15621),f183(x15621)),x15623))
% 19.04/19.06 [1564]~P21(f12(a185,a2,x15641,x15643))+P21(f12(a185,a2,x15641,f12(a185,a185,a204,f111(x15642,x15641,x15643))))+P21(f12(a185,a2,x15641,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15643),x15642)))
% 19.04/19.06 [1566]~P21(f12(a185,a2,x15663,f150(x15663,x15661,x15662)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15661),x15662))+P21(f12(a185,a2,x15663,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15661),x15662)))
% 19.04/19.06 [1567]~P21(f12(a185,a2,x15673,f151(x15673,x15671,x15672)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15671),x15672))+P21(f12(a185,a2,x15673,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15671),x15672)))
% 19.04/19.06 [1569]~P21(f12(f166(x15691,a2),a2,f175(x15691),x15693))+E(f12(f166(x15691,a2),a185,f167(x15691),f12(f166(x15691,a2),f166(x15691,a2),f12(x15691,f166(f166(x15691,a2),f166(x15691,a2)),f182(x15691),x15692),x15693)),f12(f166(x15691,a2),a185,f167(x15691),x15693))+~P21(f12(f166(x15691,a2),a2,f12(x15691,f166(f166(x15691,a2),a2),f189(x15691),x15692),x15693))
% 19.04/19.06 [1571]~P21(f12(f166(x15711,a2),a2,f175(x15711),x15713))+E(f12(f166(x15711,a2),a185,f167(x15711),f12(f166(x15711,a2),f166(x15711,a2),f12(x15711,f166(f166(x15711,a2),f166(x15711,a2)),f182(x15711),x15712),x15713)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f195(a185)),f12(f166(x15711,a2),a185,f167(x15711),x15713)))+P21(f12(f166(x15711,a2),a2,f12(x15711,f166(f166(x15711,a2),a2),f189(x15711),x15712),x15713))
% 19.04/19.06 [1587]~P42(x15871)+E(f12(x15871,x15871,f12(x15871,f166(x15871,x15871),f190(x15871),f12(a185,x15871,f205(x15871),x15872)),f12(a185,x15871,f205(x15871),x15873)),f12(a185,x15871,f205(x15871),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x15872),x15873)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15873),x15872))
% 19.04/19.06 [1660]~P1(x16601)+P21(f12(x16601,a2,f12(x16601,f166(x16601,a2),f199(x16601),x16602),x16603))+~P21(f12(x16601,a2,f12(x16601,f166(x16601,a2),f199(x16601),f12(x16601,x16601,f4(x16601),x16602)),x16603))
% 19.04/19.06 [1662]E(f12(f166(x16621,a2),f166(x16621,a2),f7(f166(x16621,a2)),x16622),f12(f166(x16621,a2),f166(x16621,a2),f7(f166(x16621,a2)),x16623))+~P21(f12(f166(x16621,a2),a2,f12(f166(x16621,a2),f166(f166(x16621,a2),a2),f199(f166(x16621,a2)),x16622),x16623))+~P21(f12(f166(x16621,a2),a2,f12(f166(x16621,a2),f166(f166(x16621,a2),a2),f199(f166(x16621,a2)),x16623),x16622))
% 19.04/19.06 [1707]P21(f12(a185,a2,x17071,f183(a185)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x17072),x17073))+~P21(f12(a185,a2,x17071,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x17072),x17073)))
% 19.04/19.06 [1740]~P21(f12(f166(x17401,a2),a2,f175(x17401),x17403))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(f166(x17401,a2),a185,f167(x17401),x17402)),f12(f166(x17401,a2),a185,f167(x17401),x17403)))+~P21(f12(f166(x17401,a2),a2,f12(f166(x17401,a2),f166(f166(x17401,a2),a2),f200(f166(x17401,a2)),x17402),x17403))
% 19.04/19.06 [1741]~P21(f12(f166(x17411,a2),a2,f175(x17411),x17413))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(f166(x17411,a2),a185,f167(x17411),x17412)),f12(f166(x17411,a2),a185,f167(x17411),x17413)))+~P21(f12(f166(x17411,a2),a2,f12(f166(x17411,a2),f166(f166(x17411,a2),a2),f199(f166(x17411,a2)),x17412),x17413))
% 19.04/19.06 [1743]~P24(x17431)+E(f12(x17431,x17431,f7(x17431),x17432),f183(x17431))+~E(f12(x17431,x17431,f12(x17431,f166(x17431,x17431),f203(x17431),f12(x17431,x17431,f12(x17431,f166(x17431,x17431),f216(x17431),x17433),x17433)),f12(x17431,x17431,f12(x17431,f166(x17431,x17431),f216(x17431),x17432),x17432)),f183(x17431))
% 19.04/19.06 [1744]~P24(x17441)+E(f12(x17441,x17441,f7(x17441),x17442),f183(x17441))+~E(f12(x17441,x17441,f12(x17441,f166(x17441,x17441),f203(x17441),f12(x17441,x17441,f12(x17441,f166(x17441,x17441),f216(x17441),x17442),x17442)),f12(x17441,x17441,f12(x17441,f166(x17441,x17441),f216(x17441),x17443),x17443)),f183(x17441))
% 19.04/19.06 [1842]E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18421),x18422)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18423),x18422)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18421),x18423))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x18422),x18421))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x18422),x18423))
% 19.04/19.06 [1867]E(f12(f166(x18671,a2),f166(x18671,a2),f7(f166(x18671,a2)),x18672),f12(f166(x18671,a2),f166(x18671,a2),f12(x18671,f166(f166(x18671,a2),f166(x18671,a2)),f182(x18671),x18673),f6(f166(x18671,a2))))+E(f12(f166(x18671,a2),f166(x18671,a2),f7(f166(x18671,a2)),x18672),f6(f166(x18671,a2)))+~P21(f12(f166(x18671,a2),a2,f12(f166(x18671,a2),f166(f166(x18671,a2),a2),f199(f166(x18671,a2)),x18672),f12(f166(x18671,a2),f166(x18671,a2),f12(x18671,f166(f166(x18671,a2),f166(x18671,a2)),f182(x18671),x18673),f6(f166(x18671,a2)))))
% 19.04/19.06 [1987]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19873),x19872))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19873),x19871))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19871),x19872)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19871),x19873)))
% 19.04/19.06 [1988]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19881),x19883))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19882),x19881))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19881),x19882)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19883),x19882)))
% 19.04/19.06 [1996]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x19962))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19961),x19963))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19961),x19962)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19963),x19962)))
% 19.04/19.06 [1997]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x19971))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19972),x19973))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19971),x19972)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19971),x19973)))
% 19.04/19.06 [1999]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x19991))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x19992),x19993))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x19991),x19992)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x19991),x19993)))
% 19.04/19.06 [2092]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x20923))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20921),x20922))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20923),x20921)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20923),x20922)))
% 19.04/19.06 [2093]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x20933))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20931),x20932))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20931),x20933)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x20932),x20933)))
% 19.04/19.06 [1747]~P21(f12(f166(x17471,a2),a2,f175(x17471),x17473))+E(f12(f166(x17471,a2),a185,f167(x17471),f12(f166(x17471,a2),f166(x17471,a2),f12(f166(x17471,a2),f166(f166(x17471,a2),f166(x17471,a2)),f190(f166(x17471,a2)),x17472),x17473)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(f166(x17471,a2),a185,f167(x17471),x17472)),f12(f166(x17471,a2),a185,f167(x17471),x17473)))+~P21(f12(f166(x17471,a2),a2,f12(f166(x17471,a2),f166(f166(x17471,a2),a2),f199(f166(x17471,a2)),x17473),x17472))
% 19.04/19.06 [1770]~P21(f12(f166(x17701,a2),a2,f175(x17701),x17703))+P21(f12(f166(x17701,a2),a2,f175(x17701),x17702))+~P21(f12(f166(x17701,a2),a2,f175(x17701),f12(f166(x17701,a2),f166(x17701,a2),f12(f166(x17701,a2),f166(f166(x17701,a2),f166(x17701,a2)),f190(f166(x17701,a2)),x17702),x17703)))
% 19.04/19.06 [1785]~P21(f12(f166(x17851,a2),a2,f175(x17851),x17852))+E(f12(f166(x17851,a2),a185,f167(x17851),f12(f166(x17851,a2),f166(x17851,a2),f12(f166(x17851,a2),f166(f166(x17851,a2),f166(x17851,a2)),f190(f166(x17851,a2)),x17852),f12(f166(x17851,a2),f166(x17851,a2),f12(x17851,f166(f166(x17851,a2),f166(x17851,a2)),f182(x17851),x17853),f6(f166(x17851,a2))))),f12(f166(x17851,a2),a185,f167(x17851),x17852))+P21(f12(f166(x17851,a2),a2,f12(x17851,f166(f166(x17851,a2),a2),f189(x17851),x17853),x17852))
% 19.04/19.06 [1798]~P21(f12(a1,a2,x17983,f183(a1)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x17981),x17982))+P21(f12(a1,a2,x17983,f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x17982),x17981))))
% 19.04/19.06 [1832]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x18322),x18321))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x18321),x18322))+P21(f12(a1,a2,x18323,f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x18321),x18322))))
% 19.04/19.06 [1834]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x18341)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x18342)),x18343)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x18341)),x18343))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x18341)))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x18342)))
% 19.04/19.06 [1886]~P21(f12(f166(x18861,a2),a2,f175(x18861),x18862))+E(f12(f166(x18861,a2),a185,f167(x18861),f12(f166(x18861,a2),f166(x18861,a2),f12(f166(x18861,a2),f166(f166(x18861,a2),f166(x18861,a2)),f190(f166(x18861,a2)),x18862),f12(f166(x18861,a2),f166(x18861,a2),f12(x18861,f166(f166(x18861,a2),f166(x18861,a2)),f182(x18861),x18863),f6(f166(x18861,a2))))),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(f166(x18861,a2),a185,f167(x18861),x18862)),f195(a185)))+~P21(f12(f166(x18861,a2),a2,f12(x18861,f166(f166(x18861,a2),a2),f189(x18861),x18863),x18862))
% 19.04/19.06 [1972]P21(f12(a1,a2,x19721,f183(a1)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19722),x19723))+~P21(f12(a1,a2,x19721,f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x19722),x19723))))
% 19.04/19.06 [2033]~P22(x20331)+P21(f12(x20331,a2,f12(x20331,f166(x20331,a2),f199(x20331),x20332),x20333))+~P21(f12(x20331,a2,f12(x20331,f166(x20331,a2),f199(x20331),f12(x20331,x20331,f12(x20331,f166(x20331,x20331),f216(x20331),f19(x20331,x20332,x20333)),x20332)),x20333))
% 19.04/19.06 [2038]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20382),x20383))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20381),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x20383),x20382)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20381),x20382)),x20383))
% 19.04/19.06 [2073]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20733),x20732))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20731),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x20732),x20733)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x20731),x20733)),x20732))
% 19.04/19.06 [2123]~P21(f12(a1,a2,x21231,f183(a1)))+~P21(f12(a1,a2,x21231,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,f205(a1),x21232)),f12(a185,a1,f205(a1),x21233))))+P21(f12(a1,a2,x21231,f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21232),x21233))))
% 19.04/19.06 [2128]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21283),x21282))+P21(f12(a1,a2,x21281,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,f205(a1),x21282)),f12(a185,a1,f205(a1),x21283))))+~P21(f12(a1,a2,x21281,f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21282),x21283))))
% 19.04/19.06 [2130]P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x21301),x21302))+~P21(f12(a1,a2,x21303,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,f205(a1),x21301)),f12(a185,a1,f205(a1),x21302))))+P21(f12(a1,a2,x21303,f12(a185,a1,f205(a1),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21301),x21302))))
% 19.04/19.06 [2132]~P24(x21321)+E(f12(x21321,x21321,f7(x21321),x21322),f183(x21321))+P21(f12(x21321,a2,f12(x21321,f166(x21321,a2),f200(x21321),f183(x21321)),f12(x21321,x21321,f12(x21321,f166(x21321,x21321),f203(x21321),f12(x21321,x21321,f12(x21321,f166(x21321,x21321),f216(x21321),x21323),x21323)),f12(x21321,x21321,f12(x21321,f166(x21321,x21321),f216(x21321),x21322),x21322))))
% 19.04/19.06 [2133]~P24(x21331)+E(f12(x21331,x21331,f7(x21331),x21332),f183(x21331))+P21(f12(x21331,a2,f12(x21331,f166(x21331,a2),f200(x21331),f183(x21331)),f12(x21331,x21331,f12(x21331,f166(x21331,x21331),f203(x21331),f12(x21331,x21331,f12(x21331,f166(x21331,x21331),f216(x21331),x21332),x21332)),f12(x21331,x21331,f12(x21331,f166(x21331,x21331),f216(x21331),x21333),x21333))))
% 19.04/19.06 [2151]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),x21511))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x21512),x21513))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a185,a1,f205(a1),x21511)),x21512)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f12(a185,a1,f205(a1),x21511)),x21513)))
% 19.04/19.06 [2006]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x20061)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),x20062)),x20063)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a1,a185,f191(a185),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x20061),x20062))),x20063))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x20061)))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x20062)))
% 19.04/19.06 [2048]~P21(f12(f166(x20481,a2),a2,f175(x20481),x20482))+~P21(f12(f166(x20481,a2),a2,f12(x20481,f166(f166(x20481,a2),a2),f189(x20481),x20483),x20482))+E(f12(a185,a185,a204,f12(f166(x20481,a2),a185,f167(x20481),f12(f166(x20481,a2),f166(x20481,a2),f12(f166(x20481,a2),f166(f166(x20481,a2),f166(x20481,a2)),f190(f166(x20481,a2)),x20482),f12(f166(x20481,a2),f166(x20481,a2),f12(x20481,f166(f166(x20481,a2),f166(x20481,a2)),f182(x20481),x20483),f6(f166(x20481,a2)))))),f12(f166(x20481,a2),a185,f167(x20481),x20482))
% 19.04/19.06 [2054]~P21(f12(f166(x20541,a2),a2,f175(x20541),x20542))+~P21(f12(f166(x20541,a2),a2,f12(x20541,f166(f166(x20541,a2),a2),f189(x20541),x20543),x20542))+E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f195(a185)),f12(f166(x20541,a2),a185,f167(x20541),f12(f166(x20541,a2),f166(x20541,a2),f12(f166(x20541,a2),f166(f166(x20541,a2),f166(x20541,a2)),f190(f166(x20541,a2)),x20542),f12(f166(x20541,a2),f166(x20541,a2),f12(x20541,f166(f166(x20541,a2),f166(x20541,a2)),f182(x20541),x20543),f6(f166(x20541,a2)))))),f12(f166(x20541,a2),a185,f167(x20541),x20542))
% 19.04/19.06 [2223]~P21(f12(f166(x22231,a2),a2,f175(x22231),f12(f166(x22231,a2),f166(x22231,a2),f9(x22231),x22232)))+~P21(f12(f166(x22231,a2),a2,f175(x22231),f12(f166(x22231,a2),f166(x22231,a2),f9(x22231),x22233)))+P21(f12(f166(x22231,a2),a2,f175(x22231),f12(f166(x22231,a2),f166(x22231,a2),f9(x22231),f12(f166(x22231,a2),f166(x22231,a2),f12(f166(x22231,f166(a2,a2)),f166(f166(x22231,a2),f166(x22231,a2)),f15(x22231,a2,a2),f12(f166(x22231,a2),f166(x22231,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x22231,a2),f166(x22231,f166(a2,a2))),f10(a2,f166(a2,a2),x22231),a169),x22232)),x22233))))
% 19.04/19.06 [1174]~P3(x11741)+~E(f12(x11741,x11741,f7(x11741),x11743),f12(x11741,x11741,f7(x11741),x11744))+E(f12(x11741,x11741,f12(x11741,f166(x11741,x11741),f203(x11741),x11742),x11743),f12(x11741,x11741,f12(x11741,f166(x11741,x11741),f203(x11741),x11742),x11744))
% 19.04/19.06 [1175]~P3(x11751)+~E(f12(x11751,x11751,f7(x11751),x11752),f12(x11751,x11751,f7(x11751),x11754))+E(f12(x11751,x11751,f12(x11751,f166(x11751,x11751),f203(x11751),x11752),x11753),f12(x11751,x11751,f12(x11751,f166(x11751,x11751),f203(x11751),x11754),x11753))
% 19.04/19.06 [1214]~E(f12(f166(x12141,a2),f166(x12141,a2),f7(f166(x12141,a2)),x12144),f6(f166(x12141,a2)))+~E(f12(f166(x12142,a2),f166(x12142,a2),f7(f166(x12142,a2)),x12143),f6(f166(x12142,a2)))+E(f12(f166(x12141,a2),f166(f213(x12142,x12141),a2),f12(f166(x12142,a2),f166(f166(x12141,a2),f166(f213(x12142,x12141),a2)),f214(x12142,x12141),x12143),x12144),f6(f166(f213(x12142,x12141),a2)))
% 19.04/19.06 [1248]~P3(x12481)+E(f12(x12481,x12481,f7(x12481),x12482),f12(x12481,x12481,f7(x12481),x12483))+~E(f12(x12481,x12481,f12(x12481,f166(x12481,x12481),f203(x12481),x12484),x12482),f12(x12481,x12481,f12(x12481,f166(x12481,x12481),f203(x12481),x12484),x12483))
% 19.04/19.06 [1249]~P9(x12491)+E(f12(x12491,x12491,f7(x12491),x12492),f12(x12491,x12491,f7(x12491),x12493))+~E(f12(x12491,x12491,f12(x12491,f166(x12491,x12491),f203(x12491),x12494),x12492),f12(x12491,x12491,f12(x12491,f166(x12491,x12491),f203(x12491),x12494),x12493))
% 19.04/19.06 [1251]~P3(x12511)+E(f12(x12511,x12511,f7(x12511),x12512),f12(x12511,x12511,f7(x12511),x12513))+~E(f12(x12511,x12511,f12(x12511,f166(x12511,x12511),f203(x12511),x12512),x12514),f12(x12511,x12511,f12(x12511,f166(x12511,x12511),f203(x12511),x12513),x12514))
% 19.04/19.06 [1320]~E(f12(f166(x13201,a2),f166(x13201,a2),f7(f166(x13201,a2)),x13202),f12(f166(x13201,a2),f166(x13201,a2),f12(x13201,f166(f166(x13201,a2),f166(x13201,a2)),f182(x13201),x13203),x13204))+~P21(f12(f166(x13201,a2),a2,f175(x13201),x13204))+P21(f12(f166(x13201,a2),a2,f175(x13201),x13202))
% 19.04/19.06 [1413]~E(f12(f166(x14131,a2),f166(x14131,a2),f7(f166(x14131,a2)),x14134),f12(f166(x14131,a2),f166(x14131,a2),f12(x14131,f166(f166(x14131,a2),f166(x14131,a2)),f182(x14131),x14132),x14133))+~E(f12(f166(x14131,a2),f166(x14131,a2),f7(f166(x14131,a2)),x14134),f6(f166(x14131,a2)))+P21(f12(f166(x14131,a2),a2,f12(x14131,f166(f166(x14131,a2),a2),f189(x14131),x14132),x14133))
% 19.04/19.06 [1583]~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x15833),x15832),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x15831),x15834))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15833),x15834))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x15831),x15832))
% 19.04/19.06 [1412]P21(f12(x14121,a2,x14122,x14123))+~P21(f12(x14121,a2,x14124,x14123))+~P21(f12(f166(x14121,a2),a2,f12(f166(x14121,a2),f166(f166(x14121,a2),a2),f199(f166(x14121,a2)),x14124),x14122))
% 19.04/19.06 [1527]~P39(x15272)+~P21(f12(f166(x15271,x15272),a2,f12(f166(x15271,x15272),f166(f166(x15271,x15272),a2),f200(f166(x15271,x15272)),x15273),x15274))+P21(f12(f166(x15271,x15272),a2,f12(f166(x15271,x15272),f166(f166(x15271,x15272),a2),f199(f166(x15271,x15272)),x15273),x15274))
% 19.04/19.06 [1610]~P39(x16101)+~P21(f12(f166(x16102,x16101),a2,f12(f166(x16102,x16101),f166(f166(x16102,x16101),a2),f199(f166(x16102,x16101)),x16104),x16103))+~P21(f12(f166(x16102,x16101),a2,f12(f166(x16102,x16101),f166(f166(x16102,x16101),a2),f200(f166(x16102,x16101)),x16103),x16104))
% 19.04/19.06 [1664]~P21(f12(f166(x16642,a2),a2,f175(x16642),x16644))+~P21(f12(f166(x16641,a2),a2,f175(x16641),x16643))+E(f12(f166(f213(x16641,x16642),a2),a185,f167(f213(x16641,x16642)),f12(f166(x16642,a2),f166(f213(x16641,x16642),a2),f12(f166(x16641,a2),f166(f166(x16642,a2),f166(f213(x16641,x16642),a2)),f214(x16641,x16642),x16643),x16644)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(f166(x16641,a2),a185,f167(x16641),x16643)),f12(f166(x16642,a2),a185,f167(x16642),x16644)))
% 19.04/19.06 [1668]P21(f12(a185,a2,x16681,x16682))+~E(x16683,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x16684),x16682))+~P21(f12(a185,a2,x16681,f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x16683),x16684)))
% 19.04/19.06 [1680]~P21(f12(f166(x16801,a2),a2,f12(x16801,f166(f166(x16801,a2),a2),f189(x16801),x16802),x16804))+P21(f12(f166(x16801,a2),a2,f12(x16801,f166(f166(x16801,a2),a2),f189(x16801),x16802),x16803))+~P21(f12(f166(x16801,a2),a2,f12(f166(x16801,a2),f166(f166(x16801,a2),a2),f200(f166(x16801,a2)),x16804),x16803))
% 19.04/19.06 [1684]~P21(f12(f166(x16841,a2),a2,f12(x16841,f166(f166(x16841,a2),a2),f189(x16841),x16842),x16844))+P21(f12(f166(x16841,a2),a2,f12(x16841,f166(f166(x16841,a2),a2),f189(x16841),x16842),x16843))+~P21(f12(f166(x16841,a2),a2,f12(f166(x16841,a2),f166(f166(x16841,a2),a2),f199(f166(x16841,a2)),x16844),x16843))
% 19.04/19.06 [1688]~P21(f12(f166(x16882,a2),a2,f175(x16882),x16884))+~P21(f12(f166(x16881,a2),a2,f175(x16881),x16883))+P21(f12(f166(f213(x16881,x16882),a2),a2,f175(f213(x16881,x16882)),f12(f166(x16882,a2),f166(f213(x16881,x16882),a2),f12(f166(x16881,a2),f166(f166(x16882,a2),f166(f213(x16881,x16882),a2)),f214(x16881,x16882),x16883),x16884)))
% 19.04/19.06 [1696]E(f12(x16961,x16961,f7(x16961),x16962),f12(x16961,x16961,f7(x16961),x16963))+P21(f12(x16961,a2,x16964,x16963))+~P21(f12(x16961,a2,f12(f166(x16961,a2),f166(x16961,a2),f12(x16961,f166(f166(x16961,a2),f166(x16961,a2)),f182(x16961),x16962),x16964),x16963))
% 19.04/19.06 [1717]~P21(f12(f166(x17171,a2),a2,f12(f166(x17171,a2),f166(f166(x17171,a2),a2),f200(f166(x17171,a2)),x17172),x17174))+~P21(f12(f166(x17171,a2),a2,f12(f166(x17171,a2),f166(f166(x17171,a2),a2),f200(f166(x17171,a2)),x17174),x17173))+P21(f12(f166(x17171,a2),a2,f12(f166(x17171,a2),f166(f166(x17171,a2),a2),f200(f166(x17171,a2)),x17172),x17173))
% 19.04/19.06 [1718]~P21(f12(f166(x17181,a2),a2,f12(f166(x17181,a2),f166(f166(x17181,a2),a2),f199(f166(x17181,a2)),x17182),x17184))+~P21(f12(f166(x17181,a2),a2,f12(f166(x17181,a2),f166(f166(x17181,a2),a2),f200(f166(x17181,a2)),x17184),x17183))+P21(f12(f166(x17181,a2),a2,f12(f166(x17181,a2),f166(f166(x17181,a2),a2),f200(f166(x17181,a2)),x17182),x17183))
% 19.04/19.06 [1719]~P21(f12(f166(x17191,a2),a2,f12(f166(x17191,a2),f166(f166(x17191,a2),a2),f199(f166(x17191,a2)),x17194),x17193))+~P21(f12(f166(x17191,a2),a2,f12(f166(x17191,a2),f166(f166(x17191,a2),a2),f200(f166(x17191,a2)),x17192),x17194))+P21(f12(f166(x17191,a2),a2,f12(f166(x17191,a2),f166(f166(x17191,a2),a2),f200(f166(x17191,a2)),x17192),x17193))
% 19.04/19.06 [1720]~P21(f12(f166(x17201,a2),a2,f12(f166(x17201,a2),f166(f166(x17201,a2),a2),f199(f166(x17201,a2)),x17202),x17204))+~P21(f12(f166(x17201,a2),a2,f12(f166(x17201,a2),f166(f166(x17201,a2),a2),f199(f166(x17201,a2)),x17204),x17203))+P21(f12(f166(x17201,a2),a2,f12(f166(x17201,a2),f166(f166(x17201,a2),a2),f199(f166(x17201,a2)),x17202),x17203))
% 19.04/19.06 [1860]E(f12(x18601,x18601,f7(x18601),x18602),f12(x18601,x18601,f7(x18601),x18603))+P21(f12(f166(x18601,a2),a2,f12(x18601,f166(f166(x18601,a2),a2),f189(x18601),x18602),x18604))+~P21(f12(f166(x18601,a2),a2,f12(x18601,f166(f166(x18601,a2),a2),f189(x18601),x18602),f12(f166(x18601,a2),f166(x18601,a2),f12(x18601,f166(f166(x18601,a2),f166(x18601,a2)),f182(x18601),x18603),x18604)))
% 19.04/19.06 [1879]P21(f12(f166(x18791,a2),a2,f175(x18791),x18792))+P21(f12(f166(x18791,a2),a2,f12(x18791,f166(f166(x18791,a2),a2),f189(x18791),f99(x18793,x18791,x18794,x18792)),x18792))+~P21(f12(f166(x18793,a2),a2,f175(x18793),f12(f166(x18791,a2),f166(x18793,a2),f12(f166(x18791,x18793),f166(f166(x18791,a2),f166(x18793,a2)),f181(x18791,x18793),x18794),x18792)))
% 19.04/19.06 [1880]~P21(f12(f166(x18801,a2),a2,f12(x18801,f166(f166(x18801,a2),a2),f189(x18801),x18803),x18804))+~P21(f12(f166(x18801,a2),a2,f12(f166(x18801,a2),f166(f166(x18801,a2),a2),f200(f166(x18801,a2)),x18802),x18804))+P21(f12(f166(x18801,a2),a2,f12(f166(x18801,a2),f166(f166(x18801,a2),a2),f200(f166(x18801,a2)),x18802),f12(f166(x18801,a2),f166(x18801,a2),f12(x18801,f166(f166(x18801,a2),f166(x18801,a2)),f182(x18801),x18803),x18804)))
% 19.04/19.06 [1910]~P36(x19101)+~P54(x19101)+E(f12(x19101,x19101,f12(x19101,f166(x19101,x19101),f190(x19101),f12(x19101,x19101,f12(x19101,f166(x19101,x19101),f216(x19101),x19102),f12(a1,x19101,f191(x19101),x19103))),f12(x19101,x19101,f12(x19101,f166(x19101,x19101),f216(x19101),x19104),f12(a1,x19101,f191(x19101),x19103))),f12(x19101,x19101,f12(x19101,f166(x19101,x19101),f216(x19101),f12(x19101,x19101,f12(x19101,f166(x19101,x19101),f190(x19101),x19102),x19104)),f12(a1,x19101,f191(x19101),x19103)))
% 19.04/19.06 [1911]~P41(x19111)+~P36(x19111)+E(f12(x19111,x19111,f12(x19111,f166(x19111,x19111),f203(x19111),f12(x19111,x19111,f12(x19111,f166(x19111,x19111),f216(x19111),x19112),f12(a1,x19111,f191(x19111),x19113))),f12(x19111,x19111,f12(x19111,f166(x19111,x19111),f216(x19111),x19114),f12(a1,x19111,f191(x19111),x19113))),f12(x19111,x19111,f12(x19111,f166(x19111,x19111),f216(x19111),f12(x19111,x19111,f12(x19111,f166(x19111,x19111),f203(x19111),x19112),x19114)),f12(a1,x19111,f191(x19111),x19113)))
% 19.04/19.06 [1934]P21(f12(f166(x19341,a2),a2,f12(x19341,f166(f166(x19341,a2),a2),f189(x19341),x19342),x19343))+~P21(f12(f166(x19341,a2),a2,f12(f166(x19341,a2),f166(f166(x19341,a2),a2),f199(f166(x19341,a2)),x19343),f12(f166(x19341,a2),f166(x19341,a2),f12(x19341,f166(f166(x19341,a2),f166(x19341,a2)),f182(x19341),x19342),x19344)))+P21(f12(f166(x19341,a2),a2,f12(f166(x19341,a2),f166(f166(x19341,a2),a2),f199(f166(x19341,a2)),x19343),x19344))
% 19.04/19.06 [1936]~P45(x19361)+~P21(f12(x19361,a2,f12(x19361,f166(x19361,a2),f200(x19361),x19363),x19364))+P21(f12(x19361,a2,f12(x19361,f166(x19361,a2),f200(x19361),f12(x19361,x19361,f12(x19361,f166(x19361,x19361),f203(x19361),x19362),x19363)),f12(x19361,x19361,f12(x19361,f166(x19361,x19361),f203(x19361),x19362),x19364)))
% 19.04/19.06 [1937]~P46(x19371)+~P21(f12(x19371,a2,f12(x19371,f166(x19371,a2),f200(x19371),x19373),x19374))+P21(f12(x19371,a2,f12(x19371,f166(x19371,a2),f200(x19371),f12(x19371,x19371,f12(x19371,f166(x19371,x19371),f203(x19371),x19372),x19373)),f12(x19371,x19371,f12(x19371,f166(x19371,x19371),f203(x19371),x19372),x19374)))
% 19.04/19.06 [1938]~P45(x19381)+~P21(f12(x19381,a2,f12(x19381,f166(x19381,a2),f200(x19381),x19382),x19384))+P21(f12(x19381,a2,f12(x19381,f166(x19381,a2),f200(x19381),f12(x19381,x19381,f12(x19381,f166(x19381,x19381),f203(x19381),x19382),x19383)),f12(x19381,x19381,f12(x19381,f166(x19381,x19381),f203(x19381),x19384),x19383)))
% 19.04/19.06 [1939]~P46(x19391)+~P21(f12(x19391,a2,f12(x19391,f166(x19391,a2),f200(x19391),x19392),x19394))+P21(f12(x19391,a2,f12(x19391,f166(x19391,a2),f200(x19391),f12(x19391,x19391,f12(x19391,f166(x19391,x19391),f203(x19391),x19392),x19393)),f12(x19391,x19391,f12(x19391,f166(x19391,x19391),f203(x19391),x19394),x19393)))
% 19.04/19.06 [1940]~P45(x19401)+~P21(f12(x19401,a2,f12(x19401,f166(x19401,a2),f199(x19401),x19403),x19404))+P21(f12(x19401,a2,f12(x19401,f166(x19401,a2),f199(x19401),f12(x19401,x19401,f12(x19401,f166(x19401,x19401),f203(x19401),x19402),x19403)),f12(x19401,x19401,f12(x19401,f166(x19401,x19401),f203(x19401),x19402),x19404)))
% 19.04/19.06 [1941]~P49(x19411)+~P21(f12(x19411,a2,f12(x19411,f166(x19411,a2),f199(x19411),x19413),x19414))+P21(f12(x19411,a2,f12(x19411,f166(x19411,a2),f199(x19411),f12(x19411,x19411,f12(x19411,f166(x19411,x19411),f203(x19411),x19412),x19413)),f12(x19411,x19411,f12(x19411,f166(x19411,x19411),f203(x19411),x19412),x19414)))
% 19.04/19.06 [1942]~P45(x19421)+~P21(f12(x19421,a2,f12(x19421,f166(x19421,a2),f199(x19421),x19422),x19424))+P21(f12(x19421,a2,f12(x19421,f166(x19421,a2),f199(x19421),f12(x19421,x19421,f12(x19421,f166(x19421,x19421),f203(x19421),x19422),x19423)),f12(x19421,x19421,f12(x19421,f166(x19421,x19421),f203(x19421),x19424),x19423)))
% 19.04/19.06 [1943]~P49(x19431)+~P21(f12(x19431,a2,f12(x19431,f166(x19431,a2),f199(x19431),x19432),x19434))+P21(f12(x19431,a2,f12(x19431,f166(x19431,a2),f199(x19431),f12(x19431,x19431,f12(x19431,f166(x19431,x19431),f203(x19431),x19432),x19433)),f12(x19431,x19431,f12(x19431,f166(x19431,x19431),f203(x19431),x19434),x19433)))
% 19.04/19.06 [1971]~P21(f12(f166(x19711,a2),a2,f12(x19711,f166(f166(x19711,a2),a2),f189(x19711),x19714),x19713))+~P21(f12(f166(x19711,a2),a2,f12(f166(x19711,a2),f166(f166(x19711,a2),a2),f200(f166(x19711,a2)),x19712),f12(f166(x19711,a2),f166(x19711,a2),f12(x19711,f166(f166(x19711,a2),f166(x19711,a2)),f182(x19711),x19714),x19713)))+P21(f12(f166(x19711,a2),a2,f12(f166(x19711,a2),f166(f166(x19711,a2),a2),f200(f166(x19711,a2)),x19712),x19713))
% 19.04/19.06 [1989]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19892),x19894))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19891),x19893))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19891),x19892)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19893),x19894)))
% 19.04/19.06 [1990]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19902),x19904))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19901),x19903))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19901),x19902)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x19903),x19904)))
% 19.04/19.06 [1991]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19912),x19914))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19911),x19913))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19911),x19912)),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x19913),x19914)))
% 19.04/19.06 [1992]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x19921),x19923))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x19922),x19924))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19921),x19922)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19923),x19924)))
% 19.04/19.06 [2052]~P39(x20522)+~P21(f12(x20522,a2,f12(x20522,f166(x20522,a2),f199(x20522),f12(x20521,x20522,x20523,f155(x20521,x20522,x20523,x20524))),f12(x20521,x20522,x20524,f155(x20521,x20522,x20523,x20524))))+P21(f12(f166(x20521,x20522),a2,f12(f166(x20521,x20522),f166(f166(x20521,x20522),a2),f199(f166(x20521,x20522)),x20523),x20524))
% 19.04/19.06 [2053]~P39(x20532)+~P21(f12(x20532,a2,f12(x20532,f166(x20532,a2),f199(x20532),f12(x20531,x20532,x20533,f62(x20531,x20532,x20533,x20534))),f12(x20531,x20532,x20534,f62(x20531,x20532,x20533,x20534))))+P21(f12(f166(x20531,x20532),a2,f12(f166(x20531,x20532),f166(f166(x20531,x20532),a2),f199(f166(x20531,x20532)),x20533),x20534))
% 19.04/19.06 [2066]~P45(x20661)+P21(f12(x20661,a2,f12(x20661,f166(x20661,a2),f200(x20661),x20662),x20663))+~P21(f12(x20661,a2,f12(x20661,f166(x20661,a2),f200(x20661),f12(x20661,x20661,f12(x20661,f166(x20661,x20661),f203(x20661),x20664),x20662)),f12(x20661,x20661,f12(x20661,f166(x20661,x20661),f203(x20661),x20664),x20663)))
% 19.04/19.06 [2068]~P45(x20681)+P21(f12(x20681,a2,f12(x20681,f166(x20681,a2),f200(x20681),x20682),x20683))+~P21(f12(x20681,a2,f12(x20681,f166(x20681,a2),f200(x20681),f12(x20681,x20681,f12(x20681,f166(x20681,x20681),f203(x20681),x20682),x20684)),f12(x20681,x20681,f12(x20681,f166(x20681,x20681),f203(x20681),x20683),x20684)))
% 19.04/19.06 [2070]~P45(x20701)+P21(f12(x20701,a2,f12(x20701,f166(x20701,a2),f199(x20701),x20702),x20703))+~P21(f12(x20701,a2,f12(x20701,f166(x20701,a2),f199(x20701),f12(x20701,x20701,f12(x20701,f166(x20701,x20701),f203(x20701),x20704),x20702)),f12(x20701,x20701,f12(x20701,f166(x20701,x20701),f203(x20701),x20704),x20703)))
% 19.04/19.06 [2072]~P45(x20721)+P21(f12(x20721,a2,f12(x20721,f166(x20721,a2),f199(x20721),x20722),x20723))+~P21(f12(x20721,a2,f12(x20721,f166(x20721,a2),f199(x20721),f12(x20721,x20721,f12(x20721,f166(x20721,x20721),f203(x20721),x20722),x20724)),f12(x20721,x20721,f12(x20721,f166(x20721,x20721),f203(x20721),x20723),x20724)))
% 19.04/19.06 [1817]E(f12(f166(x18171,a2),f166(x18171,a2),f12(f166(x18171,a2),f166(f166(x18171,a2),f166(x18171,a2)),f190(f166(x18171,a2)),x18172),f12(f166(x18171,a2),f166(x18171,a2),f12(f166(x18171,a2),f166(f166(x18171,a2),f166(x18171,a2)),f190(f166(x18171,a2)),x18173),x18174)),f12(f166(x18171,a2),f166(x18171,a2),f7(f166(x18171,a2)),x18174))+~P21(f12(f166(x18171,a2),a2,f12(f166(x18171,a2),f166(f166(x18171,a2),a2),f199(f166(x18171,a2)),x18174),x18172))+~P21(f12(f166(x18171,a2),a2,f12(f166(x18171,a2),f166(f166(x18171,a2),a2),f199(f166(x18171,a2)),x18172),x18173))
% 19.04/19.06 [1845]~P21(f12(f166(x18451,a2),a2,f12(x18451,f166(f166(x18451,a2),a2),f189(x18451),x18452),x18454))+P21(f12(f166(x18451,a2),a2,f12(x18451,f166(f166(x18451,a2),a2),f189(x18451),x18452),x18453))+P21(f12(f166(x18451,a2),a2,f12(x18451,f166(f166(x18451,a2),a2),f189(x18451),x18452),f12(f166(x18451,a2),f166(x18451,a2),f12(f166(x18451,a2),f166(f166(x18451,a2),f166(x18451,a2)),f190(f166(x18451,a2)),x18454),x18453)))
% 19.04/19.06 [1973]~P36(x19731)+~P54(x19731)+E(f12(x19731,x19731,f12(x19731,f166(x19731,x19731),f190(x19731),f12(x19731,x19731,f12(x19731,f166(x19731,x19731),f216(x19731),f12(a1,x19731,f191(x19731),x19732)),x19733)),f12(x19731,x19731,f12(x19731,f166(x19731,x19731),f216(x19731),f12(a1,x19731,f191(x19731),x19732)),x19734)),f12(x19731,x19731,f12(x19731,f166(x19731,x19731),f216(x19731),f12(a1,x19731,f191(x19731),x19732)),f12(x19731,x19731,f12(x19731,f166(x19731,x19731),f190(x19731),x19733),x19734)))
% 19.04/19.06 [1974]~P41(x19741)+~P36(x19741)+E(f12(x19741,x19741,f12(x19741,f166(x19741,x19741),f203(x19741),f12(x19741,x19741,f12(x19741,f166(x19741,x19741),f216(x19741),f12(a1,x19741,f191(x19741),x19742)),x19743)),f12(x19741,x19741,f12(x19741,f166(x19741,x19741),f216(x19741),f12(a1,x19741,f191(x19741),x19742)),x19744)),f12(x19741,x19741,f12(x19741,f166(x19741,x19741),f216(x19741),f12(a1,x19741,f191(x19741),x19742)),f12(x19741,x19741,f12(x19741,f166(x19741,x19741),f203(x19741),x19743),x19744)))
% 19.04/19.06 [2031]~P21(f12(f166(x20311,a2),a2,f12(x20311,f166(f166(x20311,a2),a2),f189(x20311),x20312),x20314))+~P21(f12(f166(x20311,a2),a2,f12(f166(x20311,a2),f166(f166(x20311,a2),a2),f199(f166(x20311,a2)),x20313),x20314))+P21(f12(f166(x20311,a2),a2,f12(f166(x20311,a2),f166(f166(x20311,a2),a2),f199(f166(x20311,a2)),f12(f166(x20311,a2),f166(x20311,a2),f12(x20311,f166(f166(x20311,a2),f166(x20311,a2)),f182(x20311),x20312),x20313)),x20314))
% 19.04/19.06 [2183]~P21(f12(f166(x21831,a2),a2,f12(x21831,f166(f166(x21831,a2),a2),f189(x21831),x21833),x21832))+~P21(f12(f166(x21831,a2),a2,f12(f166(x21831,a2),f166(f166(x21831,a2),a2),f199(f166(x21831,a2)),x21832),f12(f166(x21831,a2),f166(x21831,a2),f12(x21831,f166(f166(x21831,a2),f166(x21831,a2)),f182(x21831),x21833),x21834)))+P21(f12(f166(x21831,a2),a2,f12(f166(x21831,a2),f166(f166(x21831,a2),a2),f199(f166(x21831,a2)),f12(f166(x21831,a2),f166(x21831,a2),f12(f166(x21831,a2),f166(f166(x21831,a2),f166(x21831,a2)),f190(f166(x21831,a2)),x21832),f12(f166(x21831,a2),f166(x21831,a2),f12(x21831,f166(f166(x21831,a2),f166(x21831,a2)),f182(x21831),x21833),f6(f166(x21831,a2))))),x21834))
% 19.04/19.06 [2201]~P21(f12(f166(x22011,a2),a2,f12(x22011,f166(f166(x22011,a2),a2),f189(x22011),x22013),x22012))+P21(f12(f166(x22011,a2),a2,f12(f166(x22011,a2),f166(f166(x22011,a2),a2),f199(f166(x22011,a2)),x22012),f12(f166(x22011,a2),f166(x22011,a2),f12(x22011,f166(f166(x22011,a2),f166(x22011,a2)),f182(x22011),x22013),x22014)))+~P21(f12(f166(x22011,a2),a2,f12(f166(x22011,a2),f166(f166(x22011,a2),a2),f199(f166(x22011,a2)),f12(f166(x22011,a2),f166(x22011,a2),f12(f166(x22011,a2),f166(f166(x22011,a2),f166(x22011,a2)),f190(f166(x22011,a2)),x22012),f12(f166(x22011,a2),f166(x22011,a2),f12(x22011,f166(f166(x22011,a2),f166(x22011,a2)),f182(x22011),x22013),f6(f166(x22011,a2))))),x22014))
% 19.04/19.06 [2202]~P21(f12(f166(x22021,a2),a2,f12(x22021,f166(f166(x22021,a2),a2),f189(x22021),x22023),x22022))+P21(f12(f166(x22021,a2),a2,f12(f166(x22021,a2),f166(f166(x22021,a2),a2),f199(f166(x22021,a2)),x22022),f12(f166(x22021,a2),f166(x22021,a2),f12(x22021,f166(f166(x22021,a2),f166(x22021,a2)),f182(x22021),x22023),x22024)))+~P21(f12(f166(x22021,a2),a2,f12(f166(x22021,a2),f166(f166(x22021,a2),a2),f199(f166(x22021,a2)),f12(f166(x22021,a2),f166(x22021,a2),f12(f166(x22021,a2),f166(f166(x22021,a2),f166(x22021,a2)),f190(f166(x22021,a2)),x22022),f12(f166(x22021,a2),f166(x22021,a2),f12(x22021,f166(f166(x22021,a2),f166(x22021,a2)),f182(x22021),x22023),f6(f166(x22021,a2))))),x22024))
% 19.04/19.06 [2203]~P21(f12(f166(x22031,a2),a2,f12(f166(x22031,a2),f166(f166(x22031,a2),a2),f199(f166(x22031,a2)),x22032),x22034))+P21(f12(f166(x22031,a2),a2,f12(f166(x22031,a2),f166(f166(x22031,a2),a2),f199(f166(x22031,a2)),x22032),f12(f166(x22031,a2),f166(x22031,a2),f12(x22031,f166(f166(x22031,a2),f166(x22031,a2)),f182(x22031),x22033),x22034)))+~P21(f12(f166(x22031,a2),a2,f12(f166(x22031,a2),f166(f166(x22031,a2),a2),f199(f166(x22031,a2)),f12(f166(x22031,a2),f166(x22031,a2),f12(f166(x22031,a2),f166(f166(x22031,a2),f166(x22031,a2)),f190(f166(x22031,a2)),x22032),f12(f166(x22031,a2),f166(x22031,a2),f12(x22031,f166(f166(x22031,a2),f166(x22031,a2)),f182(x22031),x22033),f6(f166(x22031,a2))))),x22034))
% 19.04/19.06 [2284]P21(f12(f166(x22841,a2),a2,f175(x22841),x22842))+~P21(f12(f166(x22843,a2),a2,f175(x22843),f12(f166(x22841,a2),f166(x22843,a2),f12(f166(x22841,x22843),f166(f166(x22841,a2),f166(x22843,a2)),f181(x22841,x22843),x22844),x22842)))+~P21(f12(f166(x22841,a2),a2,f175(x22841),f12(f166(x22841,a2),f166(x22841,a2),f9(x22841),f12(f166(x22841,a2),f166(x22841,a2),f12(f166(x22841,f166(a2,a2)),f166(f166(x22841,a2),f166(x22841,a2)),f15(x22841,a2,a2),f12(f166(x22841,a2),f166(x22841,f166(a2,a2)),f12(f166(a2,f166(a2,a2)),f166(f166(x22841,a2),f166(x22841,f166(a2,a2))),f10(a2,f166(a2,a2),x22841),a168),f12(f166(x22841,a2),f166(x22841,a2),f12(f166(x22841,f166(f166(x22841,a2),a2)),f166(f166(x22841,a2),f166(x22841,a2)),f11(x22841,f166(x22841,a2),a2),f189(x22841)),x22842))),f12(x22843,f166(x22841,a2),f12(f166(x22841,f166(x22843,a2)),f166(x22843,f166(x22841,a2)),f11(x22841,x22843,a2),f12(f166(x22841,x22843),f166(x22841,f166(x22843,a2)),f12(f166(x22843,f166(x22843,a2)),f166(f166(x22841,x22843),f166(x22841,f166(x22843,a2))),f10(x22843,f166(x22843,a2),x22841),f171(x22843)),x22844)),f12(x22841,x22843,x22844,f99(x22843,x22841,x22844,x22842)))))))
% 19.04/19.06 [1679]~P39(x16791)+P21(f12(x16791,a2,f12(x16791,f166(x16791,a2),f199(x16791),f12(x16792,x16791,x16793,x16794)),f12(x16792,x16791,x16795,x16794)))+~P21(f12(f166(x16792,x16791),a2,f12(f166(x16792,x16791),f166(f166(x16792,x16791),a2),f199(f166(x16792,x16791)),x16793),x16795))
% 19.04/19.06 [1685]~E(f12(x16851,x16851,f7(x16851),x16853),f12(x16851,x16851,f7(x16851),x16854))+~E(f12(x16851,x16851,f7(x16851),x16852),f12(x16851,x16851,f7(x16851),x16855))+E(f12(f166(x16851,a2),f166(x16851,a2),f12(x16851,f166(f166(x16851,a2),f166(x16851,a2)),f182(x16851),x16852),f12(f166(x16851,a2),f166(x16851,a2),f12(x16851,f166(f166(x16851,a2),f166(x16851,a2)),f182(x16851),x16853),f6(f166(x16851,a2)))),f12(f166(x16851,a2),f166(x16851,a2),f12(x16851,f166(f166(x16851,a2),f166(x16851,a2)),f182(x16851),x16854),f12(f166(x16851,a2),f166(x16851,a2),f12(x16851,f166(f166(x16851,a2),f166(x16851,a2)),f182(x16851),x16855),f6(f166(x16851,a2)))))
% 19.04/19.06 [1686]~E(f12(x16861,x16861,f7(x16861),x16863),f12(x16861,x16861,f7(x16861),x16865))+~E(f12(x16861,x16861,f7(x16861),x16862),f12(x16861,x16861,f7(x16861),x16864))+E(f12(f166(x16861,a2),f166(x16861,a2),f12(x16861,f166(f166(x16861,a2),f166(x16861,a2)),f182(x16861),x16862),f12(f166(x16861,a2),f166(x16861,a2),f12(x16861,f166(f166(x16861,a2),f166(x16861,a2)),f182(x16861),x16863),f6(f166(x16861,a2)))),f12(f166(x16861,a2),f166(x16861,a2),f12(x16861,f166(f166(x16861,a2),f166(x16861,a2)),f182(x16861),x16864),f12(f166(x16861,a2),f166(x16861,a2),f12(x16861,f166(f166(x16861,a2),f166(x16861,a2)),f182(x16861),x16865),f6(f166(x16861,a2)))))
% 19.04/19.06 [1838]E(f12(x18381,x18381,f7(x18381),x18382),f12(x18381,x18381,f7(x18381),x18383))+E(f12(x18381,x18381,f7(x18381),x18384),f12(x18381,x18381,f7(x18381),x18382))+~E(f12(f166(x18381,a2),f166(x18381,a2),f12(x18381,f166(f166(x18381,a2),f166(x18381,a2)),f182(x18381),x18382),f12(f166(x18381,a2),f166(x18381,a2),f12(x18381,f166(f166(x18381,a2),f166(x18381,a2)),f182(x18381),x18385),f6(f166(x18381,a2)))),f12(f166(x18381,a2),f166(x18381,a2),f12(x18381,f166(f166(x18381,a2),f166(x18381,a2)),f182(x18381),x18383),f12(f166(x18381,a2),f166(x18381,a2),f12(x18381,f166(f166(x18381,a2),f166(x18381,a2)),f182(x18381),x18384),f6(f166(x18381,a2)))))
% 19.04/19.06 [1839]E(f12(x18391,x18391,f7(x18391),x18392),f12(x18391,x18391,f7(x18391),x18393))+E(f12(x18391,x18391,f7(x18391),x18394),f12(x18391,x18391,f7(x18391),x18392))+~E(f12(f166(x18391,a2),f166(x18391,a2),f12(x18391,f166(f166(x18391,a2),f166(x18391,a2)),f182(x18391),x18394),f12(f166(x18391,a2),f166(x18391,a2),f12(x18391,f166(f166(x18391,a2),f166(x18391,a2)),f182(x18391),x18393),f6(f166(x18391,a2)))),f12(f166(x18391,a2),f166(x18391,a2),f12(x18391,f166(f166(x18391,a2),f166(x18391,a2)),f182(x18391),x18395),f12(f166(x18391,a2),f166(x18391,a2),f12(x18391,f166(f166(x18391,a2),f166(x18391,a2)),f182(x18391),x18392),f6(f166(x18391,a2)))))
% 19.04/19.06 [1840]E(f12(x18401,x18401,f7(x18401),x18402),f12(x18401,x18401,f7(x18401),x18403))+E(f12(x18401,x18401,f7(x18401),x18402),f12(x18401,x18401,f7(x18401),x18404))+~E(f12(f166(x18401,a2),f166(x18401,a2),f12(x18401,f166(f166(x18401,a2),f166(x18401,a2)),f182(x18401),x18404),f12(f166(x18401,a2),f166(x18401,a2),f12(x18401,f166(f166(x18401,a2),f166(x18401,a2)),f182(x18401),x18403),f6(f166(x18401,a2)))),f12(f166(x18401,a2),f166(x18401,a2),f12(x18401,f166(f166(x18401,a2),f166(x18401,a2)),f182(x18401),x18405),f12(f166(x18401,a2),f166(x18401,a2),f12(x18401,f166(f166(x18401,a2),f166(x18401,a2)),f182(x18401),x18402),f6(f166(x18401,a2)))))
% 19.04/19.06 [1841]E(f12(x18411,x18411,f7(x18411),x18412),f12(x18411,x18411,f7(x18411),x18413))+E(f12(x18411,x18411,f7(x18411),x18412),f12(x18411,x18411,f7(x18411),x18414))+~E(f12(f166(x18411,a2),f166(x18411,a2),f12(x18411,f166(f166(x18411,a2),f166(x18411,a2)),f182(x18411),x18412),f12(f166(x18411,a2),f166(x18411,a2),f12(x18411,f166(f166(x18411,a2),f166(x18411,a2)),f182(x18411),x18415),f6(f166(x18411,a2)))),f12(f166(x18411,a2),f166(x18411,a2),f12(x18411,f166(f166(x18411,a2),f166(x18411,a2)),f182(x18411),x18413),f12(f166(x18411,a2),f166(x18411,a2),f12(x18411,f166(f166(x18411,a2),f166(x18411,a2)),f182(x18411),x18414),f6(f166(x18411,a2)))))
% 19.04/19.06 [1864]P21(f12(f166(x18641,a2),a2,f175(x18641),x18642))+~P21(f12(f166(x18643,a2),a2,f175(x18643),x18644))+~P21(f12(f166(x18641,a2),a2,f12(f166(x18641,a2),f166(f166(x18641,a2),a2),f199(f166(x18641,a2)),x18642),f12(f166(x18643,a2),f166(x18641,a2),f12(f166(x18643,x18641),f166(f166(x18643,a2),f166(x18641,a2)),f181(x18643,x18641),x18645),x18644)))
% 19.04/19.06 [1873]~P55(x18731)+~E(f12(x18731,x18731,f7(x18731),x18733),f12(x18731,x18731,f7(x18731),x18735))+E(f12(x18731,x18731,f12(x18731,f166(x18731,x18731),f203(x18731),f12(x18731,x18731,f12(x18731,f166(x18731,x18731),f216(x18731),x18732),x18733)),f12(x18731,x18731,f12(x18731,f166(x18731,x18731),f216(x18731),x18734),x18735)),f12(x18731,x18731,f12(x18731,f166(x18731,x18731),f203(x18731),f12(x18731,x18731,f12(x18731,f166(x18731,x18731),f216(x18731),x18732),x18735)),f12(x18731,x18731,f12(x18731,f166(x18731,x18731),f216(x18731),x18734),x18733)))
% 19.04/19.06 [1874]~P55(x18741)+~E(f12(x18741,x18741,f7(x18741),x18743),f12(x18741,x18741,f7(x18741),x18745))+E(f12(x18741,x18741,f12(x18741,f166(x18741,x18741),f203(x18741),f12(x18741,x18741,f12(x18741,f166(x18741,x18741),f216(x18741),x18742),x18743)),f12(x18741,x18741,f12(x18741,f166(x18741,x18741),f216(x18741),x18744),x18745)),f12(x18741,x18741,f12(x18741,f166(x18741,x18741),f203(x18741),f12(x18741,x18741,f12(x18741,f166(x18741,x18741),f216(x18741),x18742),x18745)),f12(x18741,x18741,f12(x18741,f166(x18741,x18741),f216(x18741),x18744),x18743)))
% 19.04/19.06 [1875]~P55(x18751)+~E(f12(x18751,x18751,f7(x18751),x18752),f12(x18751,x18751,f7(x18751),x18754))+E(f12(x18751,x18751,f12(x18751,f166(x18751,x18751),f203(x18751),f12(x18751,x18751,f12(x18751,f166(x18751,x18751),f216(x18751),x18752),x18753)),f12(x18751,x18751,f12(x18751,f166(x18751,x18751),f216(x18751),x18754),x18755)),f12(x18751,x18751,f12(x18751,f166(x18751,x18751),f203(x18751),f12(x18751,x18751,f12(x18751,f166(x18751,x18751),f216(x18751),x18752),x18755)),f12(x18751,x18751,f12(x18751,f166(x18751,x18751),f216(x18751),x18754),x18753)))
% 19.04/19.06 [1876]~P55(x18761)+~E(f12(x18761,x18761,f7(x18761),x18762),f12(x18761,x18761,f7(x18761),x18764))+E(f12(x18761,x18761,f12(x18761,f166(x18761,x18761),f203(x18761),f12(x18761,x18761,f12(x18761,f166(x18761,x18761),f216(x18761),x18762),x18763)),f12(x18761,x18761,f12(x18761,f166(x18761,x18761),f216(x18761),x18764),x18765)),f12(x18761,x18761,f12(x18761,f166(x18761,x18761),f203(x18761),f12(x18761,x18761,f12(x18761,f166(x18761,x18761),f216(x18761),x18762),x18765)),f12(x18761,x18761,f12(x18761,f166(x18761,x18761),f216(x18761),x18764),x18763)))
% 19.04/19.06 [1975]E(f12(f166(x19751,a2),f166(x19752,a2),f12(f166(x19751,x19752),f166(f166(x19751,a2),f166(x19752,a2)),f181(x19751,x19752),x19753),f80(x19751,x19752,x19753,x19754,x19755)),f12(f166(x19752,a2),f166(x19752,a2),f7(f166(x19752,a2)),x19755))+~P21(f12(f166(x19752,a2),a2,f175(x19752),x19755))+~P21(f12(f166(x19752,a2),a2,f12(f166(x19752,a2),f166(f166(x19752,a2),a2),f199(f166(x19752,a2)),x19755),f12(f166(x19751,a2),f166(x19752,a2),f12(f166(x19751,x19752),f166(f166(x19751,a2),f166(x19752,a2)),f181(x19751,x19752),x19753),x19754)))
% 19.04/19.06 [2032]~P21(f12(f166(x20322,a2),a2,f175(x20322),x20325))+P21(f12(f166(x20321,a2),a2,f175(x20321),f80(x20321,x20322,x20323,x20324,x20325)))+~P21(f12(f166(x20322,a2),a2,f12(f166(x20322,a2),f166(f166(x20322,a2),a2),f199(f166(x20322,a2)),x20325),f12(f166(x20321,a2),f166(x20322,a2),f12(f166(x20321,x20322),f166(f166(x20321,a2),f166(x20322,a2)),f181(x20321,x20322),x20323),x20324)))
% 19.04/19.06 [2122]~P21(f12(f166(x21222,a2),a2,f175(x21222),x21225))+P21(f12(f166(x21221,a2),a2,f12(f166(x21221,a2),f166(f166(x21221,a2),a2),f199(f166(x21221,a2)),f80(x21221,x21222,x21223,x21224,x21225)),x21224))+~P21(f12(f166(x21222,a2),a2,f12(f166(x21222,a2),f166(f166(x21222,a2),a2),f199(f166(x21222,a2)),x21225),f12(f166(x21221,a2),f166(x21222,a2),f12(f166(x21221,x21222),f166(f166(x21221,a2),f166(x21222,a2)),f181(x21221,x21222),x21223),x21224)))
% 19.04/19.06 [2245]~P14(x22452)+E(f12(f166(x22451,a2),x22452,f12(x22452,f166(f166(x22451,a2),x22452),f12(f166(x22451,x22452),f166(x22452,f166(f166(x22451,a2),x22452)),f12(f166(x22452,f166(x22452,x22452)),f166(f166(x22451,x22452),f166(x22452,f166(f166(x22451,a2),x22452))),f178(x22452,x22451),f216(x22452)),f12(f166(x22451,x22452),f166(x22451,x22452),f12(f166(x22451,f166(x22452,x22452)),f166(f166(x22451,x22452),f166(x22451,x22452)),f15(x22451,x22452,x22452),f12(f166(x22451,x22452),f166(x22451,f166(x22452,x22452)),f12(f166(x22452,f166(x22452,x22452)),f166(f166(x22451,x22452),f166(x22451,f166(x22452,x22452))),f10(x22452,f166(x22452,x22452),x22451),f216(x22452)),x22453)),x22454)),f195(x22452)),x22455),f12(x22452,x22452,f12(x22452,f166(x22452,x22452),f216(x22452),f12(f166(x22451,a2),x22452,f12(x22452,f166(f166(x22451,a2),x22452),f12(f166(x22451,x22452),f166(x22452,f166(f166(x22451,a2),x22452)),f12(f166(x22452,f166(x22452,x22452)),f166(f166(x22451,x22452),f166(x22452,f166(f166(x22451,a2),x22452))),f178(x22452,x22451),f216(x22452)),x22453),f195(x22452)),x22455)),f12(f166(x22451,a2),x22452,f12(x22452,f166(f166(x22451,a2),x22452),f12(f166(x22451,x22452),f166(x22452,f166(f166(x22451,a2),x22452)),f12(f166(x22452,f166(x22452,x22452)),f166(f166(x22451,x22452),f166(x22452,f166(f166(x22451,a2),x22452))),f178(x22452,x22451),f216(x22452)),x22454),f195(x22452)),x22455)))+~P21(f12(f166(x22451,a2),a2,f175(x22451),x22455))
% 19.04/19.06 [2121]~P21(f12(f166(x21211,a2),a2,f12(f166(x21211,a2),f166(f166(x21211,a2),a2),f199(f166(x21211,a2)),x21212),x21214))+~P21(f12(f166(x21211,a2),a2,f12(f166(x21211,a2),f166(f166(x21211,a2),a2),f199(f166(x21211,a2)),x21215),x21213))+P21(f12(f166(x21211,a2),a2,f12(f166(x21211,a2),f166(f166(x21211,a2),a2),f199(f166(x21211,a2)),f12(f166(x21211,a2),f166(x21211,a2),f12(f166(x21211,a2),f166(f166(x21211,a2),f166(x21211,a2)),f190(f166(x21211,a2)),x21212),x21213)),f12(f166(x21211,a2),f166(x21211,a2),f12(f166(x21211,a2),f166(f166(x21211,a2),f166(x21211,a2)),f190(f166(x21211,a2)),x21214),x21215)))
% 19.04/19.06 [2162]~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x21623),x21624)),x21621),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x21622),x21624)),x21625))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21623),x21622))+E(x21621,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21622),x21623)),x21624)),x21625))
% 19.04/19.06 [2163]~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x21631),x21633)),x21634),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x21632),x21633)),x21635))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21632),x21631))+E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21631),x21632)),x21633)),x21634),x21635)
% 19.04/19.06 [2173]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x21731),x21732)),x21733),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x21734),x21732)),x21735))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21734),x21731))+~E(x21735,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21731),x21734)),x21732)),x21733))
% 19.04/19.06 [2174]E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x21741),x21742)),x21743),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x21744),x21742)),x21745))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21744),x21741))+~E(f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21741),x21744)),x21742)),x21743),x21745)
% 19.04/19.06 [2248]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22483),x22482))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22483),x22484)),x22481)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22482),x22484)),x22485)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x22481),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22482),x22483)),x22484)),x22485)))
% 19.04/19.06 [2249]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22493),x22492))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22493),x22494)),x22491)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22492),x22494)),x22495)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22491),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22492),x22493)),x22494)),x22495)))
% 19.04/19.06 [2253]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22531),x22534))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22531),x22532)),x22533)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22534),x22532)),x22535)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x22533),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22534),x22531)),x22532)),x22535)))
% 19.04/19.06 [2254]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22541),x22544))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22541),x22542)),x22543)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22544),x22542)),x22545)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22543),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22544),x22541)),x22542)),x22545)))
% 19.04/19.06 [2257]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22572),x22571))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22571),x22573)),x22574)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22572),x22573)),x22575)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22571),x22572)),x22573)),x22574)),x22575))
% 19.04/19.06 [2258]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22582),x22581))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22581),x22583)),x22584)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22582),x22583)),x22585)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22581),x22582)),x22583)),x22584)),x22585))
% 19.04/19.06 [2269]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22694),x22691))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22691),x22692)),x22693)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22694),x22692)),x22695)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22691),x22694)),x22692)),x22693)),x22695))
% 19.04/19.06 [2270]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22704),x22701))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22701),x22702)),x22703)),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),x22704),x22702)),x22705)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f12(a185,a185,f12(a185,f166(a185,a185),f216(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x22701),x22704)),x22702)),x22703)),x22705))
% 19.04/19.06 [2184]~E(f12(x21841,x21842,x21843,f147(x21842,x21841,x21843,x21845,x21844,x21846)),f12(x21841,x21842,x21845,f147(x21842,x21841,x21843,x21845,x21844,x21846)))+~E(f12(f166(x21841,a2),f166(x21841,a2),f7(f166(x21841,a2)),x21844),f12(f166(x21841,a2),f166(x21841,a2),f7(f166(x21841,a2)),x21846))+E(f12(f166(x21841,a2),f166(x21842,a2),f12(f166(x21841,x21842),f166(f166(x21841,a2),f166(x21842,a2)),f181(x21841,x21842),x21843),x21844),f12(f166(x21841,a2),f166(x21842,a2),f12(f166(x21841,x21842),f166(f166(x21841,a2),f166(x21842,a2)),f181(x21841,x21842),x21845),x21846))
% 19.04/19.06 [2199]~E(f12(f166(x21991,a2),f166(x21991,a2),f7(f166(x21991,a2)),x21994),f12(f166(x21991,a2),f166(x21991,a2),f7(f166(x21991,a2)),x21996))+E(f12(f166(x21991,a2),f166(x21992,a2),f12(f166(x21991,x21992),f166(f166(x21991,a2),f166(x21992,a2)),f181(x21991,x21992),x21993),x21994),f12(f166(x21991,a2),f166(x21992,a2),f12(f166(x21991,x21992),f166(f166(x21991,a2),f166(x21992,a2)),f181(x21991,x21992),x21995),x21996))+P21(f12(f166(x21991,a2),a2,f12(x21991,f166(f166(x21991,a2),a2),f189(x21991),f147(x21992,x21991,x21993,x21995,x21994,x21996)),x21996))
% 19.04/19.06 [1797]~E(f12(x17971,x17971,f7(x17971),x17972),f12(x17973,x17971,x17974,x17976))+~P21(f12(f166(x17973,a2),a2,f12(x17973,f166(f166(x17973,a2),a2),f189(x17973),x17976),x17975))+P21(f12(f166(x17971,a2),a2,f12(x17971,f166(f166(x17971,a2),a2),f189(x17971),x17972),f12(f166(x17973,a2),f166(x17971,a2),f12(f166(x17973,x17971),f166(f166(x17973,a2),f166(x17971,a2)),f181(x17973,x17971),x17974),x17975)))
% 19.04/19.06 [1878]~E(f12(f166(x18781,a2),f166(x18781,a2),f7(f166(x18781,a2)),x18782),f12(f166(x18783,a2),f166(x18781,a2),f12(f166(x18783,x18781),f166(f166(x18783,a2),f166(x18781,a2)),f181(x18783,x18781),x18784),x18786))+~P21(f12(f166(x18783,a2),a2,f12(f166(x18783,a2),f166(f166(x18783,a2),a2),f199(f166(x18783,a2)),x18786),x18785))+P21(f12(f166(x18781,a2),a2,f12(f166(x18781,a2),f166(f166(x18781,a2),a2),f199(f166(x18781,a2)),x18782),f12(f166(x18783,a2),f166(x18781,a2),f12(f166(x18783,x18781),f166(f166(x18783,a2),f166(x18781,a2)),f181(x18783,x18781),x18784),x18785)))
% 19.04/19.06 [2160]~P54(x21601)+~E(f12(x21601,x21601,f12(x21601,f166(x21601,x21601),f203(x21601),f12(x21601,x21601,f12(x21601,f166(x21601,x21601),f216(x21601),x21604),x21605)),x21602),f12(x21601,x21601,f12(x21601,f166(x21601,x21601),f203(x21601),f12(x21601,x21601,f12(x21601,f166(x21601,x21601),f216(x21601),x21603),x21605)),x21606))+E(f12(x21601,x21601,f7(x21601),x21602),f12(x21601,x21601,f12(x21601,f166(x21601,x21601),f203(x21601),f12(x21601,x21601,f12(x21601,f166(x21601,x21601),f216(x21601),f12(x21601,x21601,f12(x21601,f166(x21601,x21601),f190(x21601),x21603),x21604)),x21605)),x21606))
% 19.04/19.06 [2161]~P54(x21611)+~E(f12(x21611,x21611,f12(x21611,f166(x21611,x21611),f203(x21611),f12(x21611,x21611,f12(x21611,f166(x21611,x21611),f216(x21611),x21612),x21614)),x21615),f12(x21611,x21611,f12(x21611,f166(x21611,x21611),f203(x21611),f12(x21611,x21611,f12(x21611,f166(x21611,x21611),f216(x21611),x21613),x21614)),x21616))+E(f12(x21611,x21611,f12(x21611,f166(x21611,x21611),f203(x21611),f12(x21611,x21611,f12(x21611,f166(x21611,x21611),f216(x21611),f12(x21611,x21611,f12(x21611,f166(x21611,x21611),f190(x21611),x21612),x21613)),x21614)),x21615),f12(x21611,x21611,f7(x21611),x21616))
% 19.04/19.06 [2170]~P54(x21701)+E(f12(x21701,x21701,f12(x21701,f166(x21701,x21701),f203(x21701),f12(x21701,x21701,f12(x21701,f166(x21701,x21701),f216(x21701),x21702),x21703)),x21704),f12(x21701,x21701,f12(x21701,f166(x21701,x21701),f203(x21701),f12(x21701,x21701,f12(x21701,f166(x21701,x21701),f216(x21701),x21705),x21703)),x21706))+~E(f12(x21701,x21701,f7(x21701),x21706),f12(x21701,x21701,f12(x21701,f166(x21701,x21701),f203(x21701),f12(x21701,x21701,f12(x21701,f166(x21701,x21701),f216(x21701),f12(x21701,x21701,f12(x21701,f166(x21701,x21701),f190(x21701),x21702),x21705)),x21703)),x21704))
% 19.04/19.06 [2171]~P54(x21711)+E(f12(x21711,x21711,f12(x21711,f166(x21711,x21711),f203(x21711),f12(x21711,x21711,f12(x21711,f166(x21711,x21711),f216(x21711),x21712),x21713)),x21714),f12(x21711,x21711,f12(x21711,f166(x21711,x21711),f203(x21711),f12(x21711,x21711,f12(x21711,f166(x21711,x21711),f216(x21711),x21715),x21713)),x21716))+~E(f12(x21711,x21711,f12(x21711,f166(x21711,x21711),f203(x21711),f12(x21711,x21711,f12(x21711,f166(x21711,x21711),f216(x21711),f12(x21711,x21711,f12(x21711,f166(x21711,x21711),f190(x21711),x21712),x21715)),x21713)),x21714),f12(x21711,x21711,f7(x21711),x21716))
% 19.04/19.06 [2250]~P51(x22501)+~P21(f12(x22501,a2,f12(x22501,f166(x22501,a2),f200(x22501),f12(x22501,x22501,f12(x22501,f166(x22501,x22501),f203(x22501),f12(x22501,x22501,f12(x22501,f166(x22501,x22501),f216(x22501),x22504),x22505)),x22502)),f12(x22501,x22501,f12(x22501,f166(x22501,x22501),f203(x22501),f12(x22501,x22501,f12(x22501,f166(x22501,x22501),f216(x22501),x22503),x22505)),x22506)))+P21(f12(x22501,a2,f12(x22501,f166(x22501,a2),f200(x22501),x22502),f12(x22501,x22501,f12(x22501,f166(x22501,x22501),f203(x22501),f12(x22501,x22501,f12(x22501,f166(x22501,x22501),f216(x22501),f12(x22501,x22501,f12(x22501,f166(x22501,x22501),f190(x22501),x22503),x22504)),x22505)),x22506)))
% 19.04/19.06 [2251]~P51(x22511)+~P21(f12(x22511,a2,f12(x22511,f166(x22511,a2),f199(x22511),f12(x22511,x22511,f12(x22511,f166(x22511,x22511),f203(x22511),f12(x22511,x22511,f12(x22511,f166(x22511,x22511),f216(x22511),x22514),x22515)),x22512)),f12(x22511,x22511,f12(x22511,f166(x22511,x22511),f203(x22511),f12(x22511,x22511,f12(x22511,f166(x22511,x22511),f216(x22511),x22513),x22515)),x22516)))+P21(f12(x22511,a2,f12(x22511,f166(x22511,a2),f199(x22511),x22512),f12(x22511,x22511,f12(x22511,f166(x22511,x22511),f203(x22511),f12(x22511,x22511,f12(x22511,f166(x22511,x22511),f216(x22511),f12(x22511,x22511,f12(x22511,f166(x22511,x22511),f190(x22511),x22513),x22514)),x22515)),x22516)))
% 19.04/19.06 [2255]~P51(x22551)+P21(f12(x22551,a2,f12(x22551,f166(x22551,a2),f200(x22551),f12(x22551,x22551,f12(x22551,f166(x22551,x22551),f203(x22551),f12(x22551,x22551,f12(x22551,f166(x22551,x22551),f216(x22551),x22552),x22553)),x22554)),f12(x22551,x22551,f12(x22551,f166(x22551,x22551),f203(x22551),f12(x22551,x22551,f12(x22551,f166(x22551,x22551),f216(x22551),x22555),x22553)),x22556)))+~P21(f12(x22551,a2,f12(x22551,f166(x22551,a2),f200(x22551),x22554),f12(x22551,x22551,f12(x22551,f166(x22551,x22551),f203(x22551),f12(x22551,x22551,f12(x22551,f166(x22551,x22551),f216(x22551),f12(x22551,x22551,f12(x22551,f166(x22551,x22551),f190(x22551),x22555),x22552)),x22553)),x22556)))
% 19.04/19.06 [2256]~P51(x22561)+P21(f12(x22561,a2,f12(x22561,f166(x22561,a2),f199(x22561),f12(x22561,x22561,f12(x22561,f166(x22561,x22561),f203(x22561),f12(x22561,x22561,f12(x22561,f166(x22561,x22561),f216(x22561),x22562),x22563)),x22564)),f12(x22561,x22561,f12(x22561,f166(x22561,x22561),f203(x22561),f12(x22561,x22561,f12(x22561,f166(x22561,x22561),f216(x22561),x22565),x22563)),x22566)))+~P21(f12(x22561,a2,f12(x22561,f166(x22561,a2),f199(x22561),x22564),f12(x22561,x22561,f12(x22561,f166(x22561,x22561),f203(x22561),f12(x22561,x22561,f12(x22561,f166(x22561,x22561),f216(x22561),f12(x22561,x22561,f12(x22561,f166(x22561,x22561),f190(x22561),x22565),x22562)),x22563)),x22566)))
% 19.04/19.06 [2259]~P51(x22591)+~P21(f12(x22591,a2,f12(x22591,f166(x22591,a2),f200(x22591),f12(x22591,x22591,f12(x22591,f166(x22591,x22591),f203(x22591),f12(x22591,x22591,f12(x22591,f166(x22591,x22591),f216(x22591),x22592),x22594)),x22595)),f12(x22591,x22591,f12(x22591,f166(x22591,x22591),f203(x22591),f12(x22591,x22591,f12(x22591,f166(x22591,x22591),f216(x22591),x22593),x22594)),x22596)))+P21(f12(x22591,a2,f12(x22591,f166(x22591,a2),f200(x22591),f12(x22591,x22591,f12(x22591,f166(x22591,x22591),f203(x22591),f12(x22591,x22591,f12(x22591,f166(x22591,x22591),f216(x22591),f12(x22591,x22591,f12(x22591,f166(x22591,x22591),f190(x22591),x22592),x22593)),x22594)),x22595)),x22596))
% 19.04/19.06 [2260]~P51(x22601)+~P21(f12(x22601,a2,f12(x22601,f166(x22601,a2),f199(x22601),f12(x22601,x22601,f12(x22601,f166(x22601,x22601),f203(x22601),f12(x22601,x22601,f12(x22601,f166(x22601,x22601),f216(x22601),x22602),x22604)),x22605)),f12(x22601,x22601,f12(x22601,f166(x22601,x22601),f203(x22601),f12(x22601,x22601,f12(x22601,f166(x22601,x22601),f216(x22601),x22603),x22604)),x22606)))+P21(f12(x22601,a2,f12(x22601,f166(x22601,a2),f199(x22601),f12(x22601,x22601,f12(x22601,f166(x22601,x22601),f203(x22601),f12(x22601,x22601,f12(x22601,f166(x22601,x22601),f216(x22601),f12(x22601,x22601,f12(x22601,f166(x22601,x22601),f190(x22601),x22602),x22603)),x22604)),x22605)),x22606))
% 19.04/19.06 [2271]~P51(x22711)+P21(f12(x22711,a2,f12(x22711,f166(x22711,a2),f200(x22711),f12(x22711,x22711,f12(x22711,f166(x22711,x22711),f203(x22711),f12(x22711,x22711,f12(x22711,f166(x22711,x22711),f216(x22711),x22712),x22713)),x22714)),f12(x22711,x22711,f12(x22711,f166(x22711,x22711),f203(x22711),f12(x22711,x22711,f12(x22711,f166(x22711,x22711),f216(x22711),x22715),x22713)),x22716)))+~P21(f12(x22711,a2,f12(x22711,f166(x22711,a2),f200(x22711),f12(x22711,x22711,f12(x22711,f166(x22711,x22711),f203(x22711),f12(x22711,x22711,f12(x22711,f166(x22711,x22711),f216(x22711),f12(x22711,x22711,f12(x22711,f166(x22711,x22711),f190(x22711),x22712),x22715)),x22713)),x22714)),x22716))
% 19.04/19.06 [2272]~P51(x22721)+P21(f12(x22721,a2,f12(x22721,f166(x22721,a2),f199(x22721),f12(x22721,x22721,f12(x22721,f166(x22721,x22721),f203(x22721),f12(x22721,x22721,f12(x22721,f166(x22721,x22721),f216(x22721),x22722),x22723)),x22724)),f12(x22721,x22721,f12(x22721,f166(x22721,x22721),f203(x22721),f12(x22721,x22721,f12(x22721,f166(x22721,x22721),f216(x22721),x22725),x22723)),x22726)))+~P21(f12(x22721,a2,f12(x22721,f166(x22721,a2),f199(x22721),f12(x22721,x22721,f12(x22721,f166(x22721,x22721),f203(x22721),f12(x22721,x22721,f12(x22721,f166(x22721,x22721),f216(x22721),f12(x22721,x22721,f12(x22721,f166(x22721,x22721),f190(x22721),x22722),x22725)),x22723)),x22724)),x22726))
% 19.04/19.06 [2198]~P21(f12(f166(x21981,a2),a2,f175(x21981),x21984))+E(f12(f166(x21981,a2),x21982,x21983,x21984),f12(f166(x21981,a2),x21982,f12(x21982,f166(f166(x21981,a2),x21982),f12(f166(x21981,x21982),f166(x21982,f166(f166(x21981,a2),x21982)),f12(f166(x21982,f166(x21982,x21982)),f166(f166(x21981,x21982),f166(x21982,f166(f166(x21981,a2),x21982))),f178(x21982,x21981),x21985),x21986),x21987),x21984))+~P21(f12(f166(f166(x21981,a2),x21982),a2,f12(f166(x21981,x21982),f166(f166(f166(x21981,a2),x21982),a2),f12(x21982,f166(f166(x21981,x21982),f166(f166(f166(x21981,a2),x21982),a2)),f12(f166(x21982,f166(x21982,x21982)),f166(x21982,f166(f166(x21981,x21982),f166(f166(f166(x21981,a2),x21982),a2))),f173(x21982,x21981),x21985),x21987),x21986),x21983))
% 19.04/19.06 [2192]E(f12(f166(x21921,a2),x21922,x21923,f12(f166(x21921,a2),f166(x21921,a2),f12(x21921,f166(f166(x21921,a2),f166(x21921,a2)),f182(x21921),x21924),x21925)),f12(x21922,x21922,f12(x21922,f166(x21922,x21922),x21926,f12(x21921,x21922,x21927,x21924)),f12(f166(x21921,a2),x21922,x21923,x21925)))+~P21(f12(f166(x21921,a2),a2,f175(x21921),x21925))+~P21(f12(f166(f166(x21921,a2),x21922),a2,f12(f166(x21921,x21922),f166(f166(f166(x21921,a2),x21922),a2),f12(x21922,f166(f166(x21921,x21922),f166(f166(f166(x21921,a2),x21922),a2)),f12(f166(x21922,f166(x21922,x21922)),f166(x21922,f166(f166(x21921,x21922),f166(f166(f166(x21921,a2),x21922),a2))),f174(x21922,x21921),x21926),x21928),x21927),x21923))
% 19.04/19.06 [2216]~P21(f12(f166(x22163,a2),a2,f175(x22163),x22167))+E(f12(x22161,x22161,f12(x22161,f166(x22161,x22161),x22162,f12(x22163,x22161,x22164,x22165)),f12(f166(x22163,a2),x22161,x22166,f12(f166(x22163,a2),f166(x22163,a2),f12(f166(x22163,a2),f166(f166(x22163,a2),f166(x22163,a2)),f190(f166(x22163,a2)),x22167),f12(f166(x22163,a2),f166(x22163,a2),f12(x22163,f166(f166(x22163,a2),f166(x22163,a2)),f182(x22163),x22165),f6(f166(x22163,a2)))))),f12(f166(x22163,a2),x22161,x22166,f12(f166(x22163,a2),f166(x22163,a2),f12(x22163,f166(f166(x22163,a2),f166(x22163,a2)),f182(x22163),x22165),x22167)))+~P21(f12(f166(f166(x22163,a2),x22161),a2,f12(f166(x22163,x22161),f166(f166(f166(x22163,a2),x22161),a2),f12(x22161,f166(f166(x22163,x22161),f166(f166(f166(x22163,a2),x22161),a2)),f12(f166(x22161,f166(x22161,x22161)),f166(x22161,f166(f166(x22163,x22161),f166(f166(f166(x22163,a2),x22161),a2))),f173(x22161,x22163),x22162),x22168),x22164),x22166))
% 19.04/19.06 [2181]~P27(x21811)+~P21(f12(x21811,a2,f12(x21811,f166(x21811,a2),f200(x21811),x21812),f183(x21811)))+P21(f12(x21811,a2,f12(x21811,f166(x21811,a2),f200(x21811),f12(x21811,x21811,f12(x21811,f166(x21811,x21811),f203(x21811),f12(x21811,x21811,f12(x21811,f166(x21811,x21811),f203(x21811),f195(x21811)),x21812)),x21812)),f183(x21811)))+~P21(f12(f166(x21811,a2),a2,f12(x21811,f166(f166(x21811,a2),a2),f189(x21811),x21812),f206(x21811)))
% 19.04/19.06 [2212]~P27(x22121)+~P21(f12(x22121,a2,f12(x22121,f166(x22121,a2),f200(x22121),f12(x22121,x22121,f12(x22121,f166(x22121,x22121),f203(x22121),f12(x22121,x22121,f12(x22121,f166(x22121,x22121),f203(x22121),f195(x22121)),x22122)),x22122)),f183(x22121)))+P21(f12(x22121,a2,f12(x22121,f166(x22121,a2),f200(x22121),x22122),f183(x22121)))+~P21(f12(f166(x22121,a2),a2,f12(x22121,f166(f166(x22121,a2),a2),f189(x22121),x22122),f206(x22121)))
% 19.04/19.06 [1296]~E(x12962,f195(a1))+~E(x12961,f195(a1))+E(f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x12961),x12962),f195(a1))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x12961))
% 19.04/19.06 [1337]E(x13371,x13372)+~E(f12(a1,a185,f191(a185),x13371),f12(a1,a185,f191(a185),x13372))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x13372)))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x13371)))
% 19.04/19.06 [1375]~P57(x13751)+~E(f12(x13751,x13751,f7(x13751),x13752),f183(x13751))+E(f12(x13751,x13751,f12(x13751,f166(x13751,x13751),f203(x13751),x13752),x13752),f183(x13751))+~P21(f12(f166(x13751,a2),a2,f12(x13751,f166(f166(x13751,a2),a2),f189(x13751),x13752),f206(x13751)))
% 19.04/19.06 [1403]~P57(x14031)+E(f12(x14031,x14031,f7(x14031),x14032),f183(x14031))+~E(f12(x14031,x14031,f12(x14031,f166(x14031,x14031),f203(x14031),x14032),x14032),f183(x14031))+~P21(f12(f166(x14031,a2),a2,f12(x14031,f166(f166(x14031,a2),a2),f189(x14031),x14032),f206(x14031)))
% 19.04/19.06 [1427]~E(f12(a1,a1,f191(a1),x14272),f183(a1))+E(f12(a1,a185,f191(a185),x14271),f12(a1,a185,f191(a185),x14272))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x14272)))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x14271)))
% 19.04/19.06 [1441]~E(f12(a1,a185,f191(a185),x14412),f12(a1,a185,f191(a185),x14411))+E(f12(a1,a1,f191(a1),x14411),f183(a1))+P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x14411)))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x14412)))
% 19.04/19.06 [1721]E(f12(a1,a185,f191(a185),x17211),f12(a1,a185,f191(a185),x17212))+~E(f12(a1,a1,f191(a1),x17212),f183(a1))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f191(a1),x17211)),f183(a1)))+~P21(f12(a1,a2,a192,f12(a1,a1,f191(a1),x17211)))
% 19.04/19.06 [1044]~P37(x10443)+~P57(x10443)+E(x10441,x10442)+~E(f12(a1,x10443,f191(x10443),x10441),f12(a1,x10443,f191(x10443),x10442))
% 19.04/19.06 [1220]~P21(f12(a1,a2,x12201,x12203))+P21(f12(a1,a2,x12201,x12202))+P21(f12(a1,a2,x12201,f34(x12202,x12201,x12203)))+P21(f12(a1,a2,x12201,f18(x12202,x12201,x12203)))
% 19.04/19.06 [1340]~P21(f12(a1,a2,x13401,x13403))+P21(f12(a1,a2,x13401,x13402))+P21(f12(a1,a2,x13401,f34(x13402,x13401,x13403)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x13403),f18(x13402,x13401,x13403)))
% 19.04/19.06 [1414]~P21(f12(a185,a2,x14141,x14142))+~P21(f12(a185,a2,x14141,x14143))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x14143),f153(x14142,x14141)))+P21(f12(a185,a2,x14141,f183(a185)))
% 19.04/19.06 [1415]~P21(f12(a185,a2,x14151,x14152))+~P21(f12(a185,a2,x14151,x14153))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14153),f148(x14152,x14151)))+P21(f12(a185,a2,x14151,f183(a185)))
% 19.04/19.06 [1896]~P47(x18961)+~P21(f12(x18961,a2,f12(x18961,f166(x18961,a2),f200(x18961),x18962),f183(x18961)))+~P21(f12(x18961,a2,f12(x18961,f166(x18961,a2),f200(x18961),x18963),f183(x18961)))+P21(f12(x18961,a2,f12(x18961,f166(x18961,a2),f200(x18961),f12(x18961,x18961,f12(x18961,f166(x18961,x18961),f203(x18961),x18962),x18963)),f183(x18961)))
% 19.04/19.06 [1897]~P47(x18971)+~P21(f12(x18971,a2,f12(x18971,f166(x18971,a2),f199(x18971),x18972),f183(x18971)))+~P21(f12(x18971,a2,f12(x18971,f166(x18971,a2),f200(x18971),x18973),f183(x18971)))+P21(f12(x18971,a2,f12(x18971,f166(x18971,a2),f200(x18971),f12(x18971,x18971,f12(x18971,f166(x18971,x18971),f203(x18971),x18972),x18973)),f183(x18971)))
% 19.04/19.06 [1898]~P47(x18981)+~P21(f12(x18981,a2,f12(x18981,f166(x18981,a2),f199(x18981),x18983),f183(x18981)))+~P21(f12(x18981,a2,f12(x18981,f166(x18981,a2),f200(x18981),x18982),f183(x18981)))+P21(f12(x18981,a2,f12(x18981,f166(x18981,a2),f200(x18981),f12(x18981,x18981,f12(x18981,f166(x18981,x18981),f203(x18981),x18982),x18983)),f183(x18981)))
% 19.04/19.06 [1899]~P47(x18991)+~P21(f12(x18991,a2,f12(x18991,f166(x18991,a2),f199(x18991),x18992),f183(x18991)))+~P21(f12(x18991,a2,f12(x18991,f166(x18991,a2),f199(x18991),x18993),f183(x18991)))+P21(f12(x18991,a2,f12(x18991,f166(x18991,a2),f199(x18991),f12(x18991,x18991,f12(x18991,f166(x18991,x18991),f203(x18991),x18992),x18993)),f183(x18991)))
% 19.04/19.06 [1956]~P42(x19561)+~P21(f12(f166(x19561,a2),a2,f12(x19561,f166(f166(x19561,a2),a2),f189(x19561),x19562),f206(x19561)))+~P21(f12(f166(x19561,a2),a2,f12(x19561,f166(f166(x19561,a2),a2),f189(x19561),x19563),f206(x19561)))+P21(f12(f166(x19561,a2),a2,f12(x19561,f166(f166(x19561,a2),a2),f189(x19561),f12(x19561,x19561,f12(x19561,f166(x19561,x19561),f190(x19561),x19562),x19563)),f206(x19561)))
% 19.04/19.06 [1957]~P42(x19571)+~P21(f12(f166(x19571,a2),a2,f12(x19571,f166(f166(x19571,a2),a2),f189(x19571),x19572),f206(x19571)))+~P21(f12(f166(x19571,a2),a2,f12(x19571,f166(f166(x19571,a2),a2),f189(x19571),x19573),f206(x19571)))+P21(f12(f166(x19571,a2),a2,f12(x19571,f166(f166(x19571,a2),a2),f189(x19571),f12(x19571,x19571,f12(x19571,f166(x19571,x19571),f203(x19571),x19572),x19573)),f206(x19571)))
% 19.04/19.06 [1958]~P42(x19581)+~P21(f12(f166(x19581,a2),a2,f12(x19581,f166(f166(x19581,a2),a2),f189(x19581),x19582),f206(x19581)))+~P21(f12(f166(x19581,a2),a2,f12(x19581,f166(f166(x19581,a2),a2),f189(x19581),x19583),f206(x19581)))+P21(f12(f166(x19581,a2),a2,f12(x19581,f166(f166(x19581,a2),a2),f189(x19581),f12(x19581,x19581,f12(x19581,f166(x19581,x19581),f216(x19581),x19582),x19583)),f206(x19581)))
% 19.04/19.06 [2000]~P24(x20001)+~P21(f12(x20001,a2,f12(x20001,f166(x20001,a2),f199(x20001),f12(x20001,x20001,f12(x20001,f166(x20001,x20001),f216(x20001),x20003),x20002)),f183(x20001)))+P21(f12(x20001,a2,f12(x20001,f166(x20001,a2),f199(x20001),x20003),f183(x20001)))+P21(f12(x20001,a2,f12(x20001,f166(x20001,a2),f199(x20001),x20002),f183(x20001)))
% 19.04/19.06 [2191]~P24(x21911)+~E(f12(x21911,x21911,f7(x21911),x21913),f183(x21911))+~E(f12(x21911,x21911,f7(x21911),x21912),f183(x21911))+P21(f12(x21911,a2,f12(x21911,f166(x21911,a2),f199(x21911),f12(x21911,x21911,f12(x21911,f166(x21911,x21911),f203(x21911),f12(x21911,x21911,f12(x21911,f166(x21911,x21911),f216(x21911),x21912),x21912)),f12(x21911,x21911,f12(x21911,f166(x21911,x21911),f216(x21911),x21913),x21913))),f183(x21911)))
% 19.04/19.06 [1135]~P34(x11351)+E(f12(x11351,x11351,f7(x11351),x11352),f183(x11351))+E(f12(x11351,x11351,f7(x11351),x11353),f183(x11351))+~E(f12(x11351,x11351,f12(x11351,f166(x11351,x11351),f216(x11351),x11353),x11352),f183(x11351))
% 19.04/19.06 [1136]~P56(x11361)+E(f12(x11361,x11361,f7(x11361),x11362),f183(x11361))+E(f12(x11361,x11361,f7(x11361),x11363),f183(x11361))+~E(f12(x11361,x11361,f12(x11361,f166(x11361,x11361),f216(x11361),x11363),x11362),f183(x11361))
% 19.04/19.06 [1263]~P21(f12(f166(x12631,a2),a2,f175(x12631),x12633))+~P21(f12(f166(x12631,a2),a2,x12632,x12633))+P21(f12(f166(x12631,a2),a2,x12632,f81(x12631,x12632,x12633)))+P21(f12(f166(x12631,a2),a2,x12632,f6(f166(x12631,a2))))
% 19.04/19.06 [1266]~P21(f12(f166(x12661,a2),a2,f175(x12661),x12663))+~P21(f12(f166(x12661,a2),a2,x12662,x12663))+P21(f12(f166(x12661,a2),a2,f175(x12661),f81(x12661,x12662,x12663)))+P21(f12(f166(x12661,a2),a2,x12662,f6(f166(x12661,a2))))
% 19.04/19.06 [1274]~P21(f12(f166(x12741,a2),a2,f175(x12741),x12743))+P21(f12(f166(x12741,a2),a2,x12742,f85(x12741,x12742,x12743)))+P21(f12(f166(x12741,a2),a2,x12742,x12743))+~P21(f12(f166(x12741,a2),a2,x12742,f6(f166(x12741,a2))))
% 19.04/19.06 [1282]~P21(f12(f166(x12821,a2),a2,f175(x12821),x12823))+P21(f12(f166(x12821,a2),a2,f175(x12821),f85(x12821,x12822,x12823)))+P21(f12(f166(x12821,a2),a2,x12822,x12823))+~P21(f12(f166(x12821,a2),a2,x12822,f6(f166(x12821,a2))))
% 19.04/19.06 [1332]~P16(x13321)+E(f12(x13321,x13321,f7(x13321),x13322),f12(x13321,x13321,f7(x13321),x13323))+P21(f12(x13321,a2,f12(x13321,f166(x13321,a2),f200(x13321),x13322),x13323))+P21(f12(x13321,a2,f12(x13321,f166(x13321,a2),f200(x13321),x13323),x13322))
% 19.04/19.06 [1333]~P27(x13331)+E(f12(x13331,x13331,f7(x13331),x13332),f12(x13331,x13331,f7(x13331),x13333))+P21(f12(x13331,a2,f12(x13331,f166(x13331,a2),f200(x13331),x13332),x13333))+P21(f12(x13331,a2,f12(x13331,f166(x13331,a2),f200(x13331),x13333),x13332))
% 19.04/19.06 [1352]~P21(f12(a1,a2,x13521,x13523))+P21(f12(a1,a2,x13521,x13522))+P21(f12(a1,a2,x13521,f18(x13522,x13521,x13523)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f34(x13522,x13521,x13523)),x13523))
% 19.04/19.06 [1354]~P16(x13541)+~E(f12(x13541,x13541,f7(x13541),x13542),f12(x13541,x13541,f7(x13541),x13543))+P21(f12(x13541,a2,f12(x13541,f166(x13541,a2),f199(x13541),x13542),x13543))+P21(f12(x13541,a2,f12(x13541,f166(x13541,a2),f200(x13541),x13542),x13543))
% 19.04/19.06 [1404]~P21(f12(a1,a2,x14041,x14043))+P21(f12(a1,a2,x14041,x14042))+P21(f12(a1,a2,x14041,f21(x14041,x14043,x14042)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x14043),x14042))
% 19.04/19.06 [1405]~P21(f12(a1,a2,x14051,x14053))+P21(f12(a1,a2,x14051,x14052))+P21(f12(a1,a2,x14051,f22(x14051,x14052,x14053)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x14052),x14053))
% 19.04/19.06 [1417]~P40(x14171)+E(f12(x14171,x14171,f7(x14171),x14172),f12(x14171,x14171,f7(x14171),x14173))+~P21(f12(x14171,a2,f12(x14171,f166(x14171,a2),f199(x14171),x14173),x14172))+P21(f12(x14171,a2,f12(x14171,f166(x14171,a2),f200(x14171),x14173),x14172))
% 19.04/19.06 [1423]~P40(x14231)+E(f12(x14231,x14231,f7(x14231),x14232),f12(x14231,x14231,f7(x14231),x14233))+~P21(f12(x14231,a2,f12(x14231,f166(x14231,a2),f199(x14231),x14232),x14233))+P21(f12(x14231,a2,f12(x14231,f166(x14231,a2),f200(x14231),x14232),x14233))
% 19.04/19.06 [1425]~P16(x14251)+E(f12(x14251,x14251,f7(x14251),x14252),f12(x14251,x14251,f7(x14251),x14253))+~P21(f12(x14251,a2,f12(x14251,f166(x14251,a2),f199(x14251),x14252),x14253))+P21(f12(x14251,a2,f12(x14251,f166(x14251,a2),f200(x14251),x14252),x14253))
% 19.04/19.06 [1442]~P21(f12(f166(x14421,a2),a2,f175(x14421),x14423))+~P21(f12(f166(x14421,a2),a2,x14422,x14423))+P21(f12(f166(x14421,a2),a2,f12(x14421,f166(f166(x14421,a2),a2),f189(x14421),f82(x14421,x14422,x14423)),f81(x14421,x14422,x14423)))+P21(f12(f166(x14421,a2),a2,x14422,f6(f166(x14421,a2))))
% 19.04/19.06 [1443]P21(f12(a185,a2,x14431,x14432))+~P21(f12(a185,a2,x14431,x14433))+~P21(f12(a185,a2,x14431,f110(x14431,x14432,x14433)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x14432),x14433))
% 19.04/19.06 [1483]~P21(f12(a1,a2,x14831,x14833))+P21(f12(a1,a2,x14831,x14832))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x14833),f18(x14832,x14831,x14833)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f34(x14832,x14831,x14833)),x14833))
% 19.04/19.06 [1508]~P21(f12(a1,a2,x15081,x15083))+P21(f12(a1,a2,x15081,x15082))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x15083),f21(x15081,x15083,x15082)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x15083),x15082))
% 19.04/19.06 [1517]~P40(x15171)+E(f12(x15171,x15171,f7(x15171),x15172),f12(x15171,x15171,f7(x15171),x15173))+~P21(f12(x15171,a2,f12(x15171,f166(x15171,a2),f199(x15171),x15172),x15173))+~P21(f12(x15171,a2,f12(x15171,f166(x15171,a2),f199(x15171),x15173),x15172))
% 19.04/19.06 [1529]~P21(f12(a185,a2,x15291,x15293))+P21(f12(a185,a2,x15291,x15292))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15292),x15293))+P21(f12(a185,a2,x15291,f12(a185,a185,a204,f110(x15291,x15292,x15293))))
% 19.04/19.06 [1535]~P43(x15351)+~P21(f12(x15351,a2,f12(x15351,f166(x15351,a2),f199(x15351),x15352),x15353))+P21(f12(x15351,a2,f12(x15351,f166(x15351,a2),f199(x15351),x15353),x15352))+P21(f12(x15351,a2,f12(x15351,f166(x15351,a2),f200(x15351),x15352),x15353))
% 19.04/19.06 [1536]~P21(f12(a185,a2,x15361,x15363))+P21(f12(a185,a2,x15361,x15362))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x15362),x15363))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f110(x15361,x15362,x15363)),x15363))
% 19.04/19.06 [1537]~P21(f12(a1,a2,x15371,x15373))+P21(f12(a1,a2,x15371,x15372))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x15372),x15373))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f22(x15371,x15372,x15373)),x15373))
% 19.04/19.06 [1568]~P21(f12(f166(x15681,a2),a2,f12(x15681,f166(f166(x15681,a2),a2),f189(x15681),f86(x15681,x15682,x15683)),f85(x15681,x15682,x15683)))+~P21(f12(f166(x15681,a2),a2,f175(x15681),x15683))+P21(f12(f166(x15681,a2),a2,x15682,x15683))+~P21(f12(f166(x15681,a2),a2,x15682,f6(f166(x15681,a2))))
% 19.04/19.06 [1639]~P27(x16391)+~P37(x16391)+P21(f12(x16391,a2,f12(x16391,f166(x16391,a2),f200(x16391),f12(a1,x16391,f191(x16391),x16392)),f12(a1,x16391,f191(x16391),x16393)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x16392),x16393))
% 19.04/19.06 [1640]~P27(x16401)+~P37(x16401)+P21(f12(x16401,a2,f12(x16401,f166(x16401,a2),f199(x16401),f12(a1,x16401,f191(x16401),x16402)),f12(a1,x16401,f191(x16401),x16403)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x16402),x16403))
% 19.04/19.06 [1666]E(x16661,x16662)+~E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x16661),x16663),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x16662),x16663))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16663),x16661))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x16663),x16662))
% 19.04/19.06 [1725]~P37(x17253)+~P27(x17253)+~P21(f12(x17253,a2,f12(x17253,f166(x17253,a2),f200(x17253),f12(a1,x17253,f191(x17253),x17251)),f12(a1,x17253,f191(x17253),x17252)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17251),x17252))
% 19.04/19.06 [1726]~P37(x17263)+~P27(x17263)+~P21(f12(x17263,a2,f12(x17263,f166(x17263,a2),f199(x17263),f12(a1,x17263,f191(x17263),x17261)),f12(a1,x17263,f191(x17263),x17262)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x17261),x17262))
% 19.04/19.06 [1738]~P21(f12(a1,a2,x17381,x17383))+P21(f12(a1,a2,x17381,x17382))+P21(f12(a1,a2,x17381,f18(x17382,x17381,x17383)))+~P21(f12(a1,a2,x17381,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f34(x17382,x17381,x17383)),f195(a1))))
% 19.04/19.06 [1739]~P21(f12(a1,a2,x17391,x17393))+P21(f12(a1,a2,x17391,x17392))+P21(f12(a1,a2,x17391,f34(x17392,x17391,x17393)))+~P21(f12(a1,a2,x17391,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f18(x17392,x17391,x17393)),f195(a1))))
% 19.04/19.06 [1758]P21(f12(a1,a2,x17581,x17582))+P21(f12(a1,a2,x17581,f25(x17581,x17583,x17582)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17583),x17582))+~P21(f12(a1,a2,x17581,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x17583),f195(a1))))
% 19.04/19.06 [1759]P21(f12(a1,a2,x17591,x17592))+P21(f12(a1,a2,x17591,f23(x17591,x17592,x17593)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x17592),x17593))+~P21(f12(a1,a2,x17591,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x17593),f195(a1))))
% 19.04/19.06 [1799]~P21(f12(a1,a2,x17991,x17993))+P21(f12(a1,a2,x17991,x17992))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x17993),f18(x17992,x17991,x17993)))+~P21(f12(a1,a2,x17991,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f34(x17992,x17991,x17993)),f195(a1))))
% 19.04/19.06 [1811]~P21(f12(a1,a2,x18111,x18113))+P21(f12(a1,a2,x18111,x18112))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f34(x18112,x18111,x18113)),x18113))+~P21(f12(a1,a2,x18111,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f18(x18112,x18111,x18113)),f195(a1))))
% 19.04/19.06 [1816]P21(f12(a1,a2,x18161,x18162))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x18163),f25(x18161,x18163,x18162)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x18163),x18162))+~P21(f12(a1,a2,x18161,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x18163),f195(a1))))
% 19.04/19.06 [1825]P21(f12(a1,a2,x18251,x18252))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x18252),x18253))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f23(x18251,x18252,x18253)),x18253))+~P21(f12(a1,a2,x18251,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x18253),f195(a1))))
% 19.04/19.06 [1826]P21(f12(a1,a2,x18261,x18262))+~P21(f12(a1,a2,x18261,x18263))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x18263),x18262))+~P21(f12(a1,a2,x18261,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f21(x18261,x18263,x18262)),f195(a1))))
% 19.04/19.06 [1827]P21(f12(a1,a2,x18271,x18272))+~P21(f12(a1,a2,x18271,x18273))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x18272),x18273))+~P21(f12(a1,a2,x18271,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f22(x18271,x18272,x18273)),f195(a1))))
% 19.04/19.06 [1863]~P21(f12(f166(x18631,a2),a2,f175(x18631),x18633))+P21(f12(f166(x18631,a2),a2,x18632,x18633))+~P21(f12(f166(x18631,a2),a2,x18632,f12(f166(x18631,a2),f166(x18631,a2),f12(x18631,f166(f166(x18631,a2),f166(x18631,a2)),f182(x18631),f86(x18631,x18632,x18633)),f85(x18631,x18632,x18633))))+~P21(f12(f166(x18631,a2),a2,x18632,f6(f166(x18631,a2))))
% 19.04/19.06 [1901]~P19(x19011)+~P21(f12(x19011,a2,f12(x19011,f166(x19011,a2),f200(x19011),x19013),f183(x19011)))+P21(f12(x19011,a2,f12(x19011,f166(x19011,a2),f200(x19011),f12(x19011,x19011,f12(x19011,f166(x19011,x19011),f216(x19011),x19012),x19013)),f183(x19011)))+~P21(f12(x19011,a2,f12(x19011,f166(x19011,a2),f200(x19011),f183(x19011)),x19012))
% 19.04/19.06 [1902]~P19(x19021)+~P21(f12(x19021,a2,f12(x19021,f166(x19021,a2),f200(x19021),x19022),f183(x19021)))+P21(f12(x19021,a2,f12(x19021,f166(x19021,a2),f200(x19021),f12(x19021,x19021,f12(x19021,f166(x19021,x19021),f216(x19021),x19022),x19023)),f183(x19021)))+~P21(f12(x19021,a2,f12(x19021,f166(x19021,a2),f200(x19021),f183(x19021)),x19023))
% 19.04/19.06 [1905]~P50(x19051)+~P21(f12(x19051,a2,f12(x19051,f166(x19051,a2),f199(x19051),x19053),f183(x19051)))+P21(f12(x19051,a2,f12(x19051,f166(x19051,a2),f199(x19051),f12(x19051,x19051,f12(x19051,f166(x19051,x19051),f216(x19051),x19052),x19053)),f183(x19051)))+~P21(f12(x19051,a2,f12(x19051,f166(x19051,a2),f199(x19051),f183(x19051)),x19052))
% 19.04/19.06 [1907]~P50(x19071)+~P21(f12(x19071,a2,f12(x19071,f166(x19071,a2),f199(x19071),x19072),f183(x19071)))+P21(f12(x19071,a2,f12(x19071,f166(x19071,a2),f199(x19071),f12(x19071,x19071,f12(x19071,f166(x19071,x19071),f216(x19071),x19072),x19073)),f183(x19071)))+~P21(f12(x19071,a2,f12(x19071,f166(x19071,a2),f199(x19071),f183(x19071)),x19073))
% 19.04/19.06 [1908]~P24(x19081)+~P21(f12(x19081,a2,f12(x19081,f166(x19081,a2),f199(x19081),x19083),f183(x19081)))+P21(f12(x19081,a2,f12(x19081,f166(x19081,a2),f199(x19081),f12(x19081,x19081,f12(x19081,f166(x19081,x19081),f216(x19081),x19082),x19083)),f183(x19081)))+~P21(f12(x19081,a2,f12(x19081,f166(x19081,a2),f199(x19081),f183(x19081)),x19082))
% 19.04/19.06 [1909]~P24(x19091)+~P21(f12(x19091,a2,f12(x19091,f166(x19091,a2),f199(x19091),x19092),f183(x19091)))+P21(f12(x19091,a2,f12(x19091,f166(x19091,a2),f199(x19091),f12(x19091,x19091,f12(x19091,f166(x19091,x19091),f216(x19091),x19092),x19093)),f183(x19091)))+~P21(f12(x19091,a2,f12(x19091,f166(x19091,a2),f199(x19091),f183(x19091)),x19093))
% 19.04/19.06 [1979]P21(f12(a1,a2,x19791,x19792))+~P21(f12(a1,a2,x19791,x19793))+~P21(f12(a1,a2,x19791,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f34(x19792,x19791,x19793)),f195(a1))))+~P21(f12(a1,a2,x19791,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f18(x19792,x19791,x19793)),f195(a1))))
% 19.04/19.06 [1983]P21(f12(a1,a2,x19831,x19832))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x19833),x19832))+~P21(f12(a1,a2,x19831,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x19833),f195(a1))))+~P21(f12(a1,a2,x19831,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f25(x19831,x19833,x19832)),f195(a1))))
% 19.04/19.06 [1984]P21(f12(a1,a2,x19841,x19842))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x19842),x19843))+~P21(f12(a1,a2,x19841,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x19843),f195(a1))))+~P21(f12(a1,a2,x19841,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f23(x19841,x19842,x19843)),f195(a1))))
% 19.04/19.06 [2001]~P24(x20011)+~P21(f12(x20011,a2,f12(x20011,f166(x20011,a2),f199(x20011),f12(x20011,x20011,f12(x20011,f166(x20011,x20011),f216(x20011),x20013),x20012)),f183(x20011)))+P21(f12(x20011,a2,f12(x20011,f166(x20011,a2),f199(x20011),x20012),f183(x20011)))+P21(f12(x20011,a2,f12(x20011,f166(x20011,a2),f199(x20011),f183(x20011)),x20012))
% 19.04/19.06 [2002]~P24(x20021)+~P21(f12(x20021,a2,f12(x20021,f166(x20021,a2),f199(x20021),f12(x20021,x20021,f12(x20021,f166(x20021,x20021),f216(x20021),x20022),x20023)),f183(x20021)))+P21(f12(x20021,a2,f12(x20021,f166(x20021,a2),f199(x20021),x20022),f183(x20021)))+P21(f12(x20021,a2,f12(x20021,f166(x20021,a2),f199(x20021),f183(x20021)),x20022))
% 19.04/19.06 [2003]~P24(x20031)+~P21(f12(x20031,a2,f12(x20031,f166(x20031,a2),f199(x20031),f12(x20031,x20031,f12(x20031,f166(x20031,x20031),f216(x20031),x20032),x20033)),f183(x20031)))+P21(f12(x20031,a2,f12(x20031,f166(x20031,a2),f199(x20031),f183(x20031)),x20033))+P21(f12(x20031,a2,f12(x20031,f166(x20031,a2),f199(x20031),f183(x20031)),x20032))
% 19.04/19.06 [2208]P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22081),f183(a1)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x22082),x22081)),x22083)),f183(a1)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x22082))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x22083))
% 19.04/19.06 [1581]~P24(x15811)+~E(f12(x15811,x15811,f7(x15811),x15813),f183(x15811))+~E(f12(x15811,x15811,f7(x15811),x15812),f183(x15811))+E(f12(x15811,x15811,f12(x15811,f166(x15811,x15811),f203(x15811),f12(x15811,x15811,f12(x15811,f166(x15811,x15811),f216(x15811),x15812),x15812)),f12(x15811,x15811,f12(x15811,f166(x15811,x15811),f216(x15811),x15813),x15813)),f183(x15811))
% 19.04/19.06 [1751]~P53(x17511)+E(f12(x17511,x17511,f12(x17511,f166(x17511,x17511),f216(x17511),f12(x17511,x17511,f4(x17511),x17512)),f12(x17511,x17511,f4(x17511),x17513)),f12(x17511,x17511,f4(x17511),f12(x17511,x17511,f12(x17511,f166(x17511,x17511),f216(x17511),x17512),x17513)))+~P21(f12(x17511,a2,f12(x17511,f166(x17511,a2),f199(x17511),x17513),f183(x17511)))+~P21(f12(x17511,a2,f12(x17511,f166(x17511,a2),f199(x17511),x17512),f183(x17511)))
% 19.04/19.06 [1752]~P53(x17521)+E(f12(x17521,x17521,f12(x17521,f166(x17521,x17521),f216(x17521),f12(x17521,x17521,f4(x17521),x17522)),f12(x17521,x17521,f4(x17521),x17523)),f12(x17521,x17521,f4(x17521),f12(x17521,x17521,f12(x17521,f166(x17521,x17521),f216(x17521),x17522),x17523)))+~P21(f12(x17521,a2,f12(x17521,f166(x17521,a2),f199(x17521),x17522),f183(x17521)))+~P21(f12(x17521,a2,f12(x17521,f166(x17521,a2),f199(x17521),f183(x17521)),x17523))
% 19.04/19.06 [1753]~P53(x17531)+E(f12(x17531,x17531,f12(x17531,f166(x17531,x17531),f216(x17531),f12(x17531,x17531,f4(x17531),x17532)),f12(x17531,x17531,f4(x17531),x17533)),f12(x17531,x17531,f4(x17531),f12(x17531,x17531,f12(x17531,f166(x17531,x17531),f216(x17531),x17532),x17533)))+~P21(f12(x17531,a2,f12(x17531,f166(x17531,a2),f199(x17531),x17533),f183(x17531)))+~P21(f12(x17531,a2,f12(x17531,f166(x17531,a2),f199(x17531),f183(x17531)),x17532))
% 19.04/19.06 [1754]~P53(x17541)+E(f12(x17541,x17541,f12(x17541,f166(x17541,x17541),f216(x17541),f12(x17541,x17541,f4(x17541),x17542)),f12(x17541,x17541,f4(x17541),x17543)),f12(x17541,x17541,f4(x17541),f12(x17541,x17541,f12(x17541,f166(x17541,x17541),f216(x17541),x17542),x17543)))+~P21(f12(x17541,a2,f12(x17541,f166(x17541,a2),f199(x17541),f183(x17541)),x17543))+~P21(f12(x17541,a2,f12(x17541,f166(x17541,a2),f199(x17541),f183(x17541)),x17542))
% 19.04/19.06 [1781]~P24(x17811)+~P21(f12(x17811,a2,f12(x17811,f166(x17811,a2),f200(x17811),x17812),f183(x17811)))+~P21(f12(x17811,a2,f12(x17811,f166(x17811,a2),f200(x17811),x17813),f183(x17811)))+P21(f12(x17811,a2,f12(x17811,f166(x17811,a2),f200(x17811),f183(x17811)),f12(x17811,x17811,f12(x17811,f166(x17811,x17811),f216(x17811),x17812),x17813)))
% 19.04/19.06 [1783]~P51(x17831)+~P21(f12(x17831,a2,f12(x17831,f166(x17831,a2),f199(x17831),x17832),f183(x17831)))+~P21(f12(x17831,a2,f12(x17831,f166(x17831,a2),f199(x17831),x17833),f183(x17831)))+P21(f12(x17831,a2,f12(x17831,f166(x17831,a2),f199(x17831),f183(x17831)),f12(x17831,x17831,f12(x17831,f166(x17831,x17831),f216(x17831),x17832),x17833)))
% 19.04/19.06 [1784]~P24(x17841)+~P21(f12(x17841,a2,f12(x17841,f166(x17841,a2),f199(x17841),x17842),f183(x17841)))+~P21(f12(x17841,a2,f12(x17841,f166(x17841,a2),f199(x17841),x17843),f183(x17841)))+P21(f12(x17841,a2,f12(x17841,f166(x17841,a2),f199(x17841),f183(x17841)),f12(x17841,x17841,f12(x17841,f166(x17841,x17841),f216(x17841),x17842),x17843)))
% 19.04/19.06 [1786]~P26(x17861)+~P21(f12(x17861,a2,f12(x17861,f166(x17861,a2),f200(x17861),f195(x17861)),x17862))+~P21(f12(x17861,a2,f12(x17861,f166(x17861,a2),f200(x17861),f195(x17861)),x17863))+P21(f12(x17861,a2,f12(x17861,f166(x17861,a2),f200(x17861),f195(x17861)),f12(x17861,x17861,f12(x17861,f166(x17861,x17861),f216(x17861),x17862),x17863)))
% 19.04/19.06 [1787]~P47(x17871)+~P21(f12(x17871,a2,f12(x17871,f166(x17871,a2),f200(x17871),f183(x17871)),x17872))+~P21(f12(x17871,a2,f12(x17871,f166(x17871,a2),f200(x17871),f183(x17871)),x17873))+P21(f12(x17871,a2,f12(x17871,f166(x17871,a2),f200(x17871),f183(x17871)),f12(x17871,x17871,f12(x17871,f166(x17871,x17871),f203(x17871),x17872),x17873)))
% 19.04/19.06 [1790]~P19(x17901)+~P21(f12(x17901,a2,f12(x17901,f166(x17901,a2),f200(x17901),f183(x17901)),x17902))+~P21(f12(x17901,a2,f12(x17901,f166(x17901,a2),f200(x17901),f183(x17901)),x17903))+P21(f12(x17901,a2,f12(x17901,f166(x17901,a2),f200(x17901),f183(x17901)),f12(x17901,x17901,f12(x17901,f166(x17901,x17901),f216(x17901),x17902),x17903)))
% 19.04/19.06 [1792]~P50(x17921)+~P21(f12(x17921,a2,f12(x17921,f166(x17921,a2),f199(x17921),f183(x17921)),x17922))+~P21(f12(x17921,a2,f12(x17921,f166(x17921,a2),f199(x17921),f183(x17921)),x17923))+P21(f12(x17921,a2,f12(x17921,f166(x17921,a2),f199(x17921),f183(x17921)),f12(x17921,x17921,f12(x17921,f166(x17921,x17921),f216(x17921),x17922),x17923)))
% 19.04/19.06 [1793]~P51(x17931)+~P21(f12(x17931,a2,f12(x17931,f166(x17931,a2),f199(x17931),f183(x17931)),x17932))+~P21(f12(x17931,a2,f12(x17931,f166(x17931,a2),f199(x17931),f183(x17931)),x17933))+P21(f12(x17931,a2,f12(x17931,f166(x17931,a2),f199(x17931),f183(x17931)),f12(x17931,x17931,f12(x17931,f166(x17931,x17931),f216(x17931),x17932),x17933)))
% 19.04/19.06 [1794]~P24(x17941)+~P21(f12(x17941,a2,f12(x17941,f166(x17941,a2),f199(x17941),f183(x17941)),x17942))+~P21(f12(x17941,a2,f12(x17941,f166(x17941,a2),f199(x17941),f183(x17941)),x17943))+P21(f12(x17941,a2,f12(x17941,f166(x17941,a2),f199(x17941),f183(x17941)),f12(x17941,x17941,f12(x17941,f166(x17941,x17941),f216(x17941),x17942),x17943)))
% 19.04/19.06 [1800]~E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x18002),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x18003),x18001)),x18003)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x18003))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f195(a1)),x18001))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x18002),x18003))
% 19.04/19.06 [1803]~E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x18032),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x18033),x18031)),x18033)+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x18031),f195(a1)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x18033))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x18032))
% 19.04/19.06 [1828]~P24(x18281)+P21(f12(x18281,a2,f12(x18281,f166(x18281,a2),f199(x18281),x18282),f183(x18281)))+P21(f12(x18281,a2,f12(x18281,f166(x18281,a2),f199(x18281),f183(x18281)),x18283))+~P21(f12(x18281,a2,f12(x18281,f166(x18281,a2),f199(x18281),f183(x18281)),f12(x18281,x18281,f12(x18281,f166(x18281,x18281),f216(x18281),x18283),x18282)))
% 19.04/19.06 [1829]~P24(x18291)+P21(f12(x18291,a2,f12(x18291,f166(x18291,a2),f199(x18291),x18292),f183(x18291)))+P21(f12(x18291,a2,f12(x18291,f166(x18291,a2),f199(x18291),f183(x18291)),x18293))+~P21(f12(x18291,a2,f12(x18291,f166(x18291,a2),f199(x18291),f183(x18291)),f12(x18291,x18291,f12(x18291,f166(x18291,x18291),f216(x18291),x18292),x18293)))
% 19.04/19.06 [1830]~P24(x18301)+P21(f12(x18301,a2,f12(x18301,f166(x18301,a2),f199(x18301),x18302),f183(x18301)))+P21(f12(x18301,a2,f12(x18301,f166(x18301,a2),f199(x18301),f183(x18301)),x18302))+~P21(f12(x18301,a2,f12(x18301,f166(x18301,a2),f199(x18301),f183(x18301)),f12(x18301,x18301,f12(x18301,f166(x18301,x18301),f216(x18301),x18303),x18302)))
% 19.04/19.06 [1831]~P24(x18311)+P21(f12(x18311,a2,f12(x18311,f166(x18311,a2),f199(x18311),x18312),f183(x18311)))+P21(f12(x18311,a2,f12(x18311,f166(x18311,a2),f199(x18311),f183(x18311)),x18312))+~P21(f12(x18311,a2,f12(x18311,f166(x18311,a2),f199(x18311),f183(x18311)),f12(x18311,x18311,f12(x18311,f166(x18311,x18311),f216(x18311),x18312),x18313)))
% 19.04/19.06 [1861]~P19(x18611)+~P21(f12(x18611,a2,f12(x18611,f166(x18611,a2),f200(x18611),f183(x18611)),x18613))+P21(f12(x18611,a2,f12(x18611,f166(x18611,a2),f200(x18611),f183(x18611)),x18612))+~P21(f12(x18611,a2,f12(x18611,f166(x18611,a2),f200(x18611),f183(x18611)),f12(x18611,x18611,f12(x18611,f166(x18611,x18611),f216(x18611),x18613),x18612)))
% 19.04/19.06 [1862]~P19(x18621)+~P21(f12(x18621,a2,f12(x18621,f166(x18621,a2),f200(x18621),f183(x18621)),x18623))+P21(f12(x18621,a2,f12(x18621,f166(x18621,a2),f200(x18621),f183(x18621)),x18622))+~P21(f12(x18621,a2,f12(x18621,f166(x18621,a2),f200(x18621),f183(x18621)),f12(x18621,x18621,f12(x18621,f166(x18621,x18621),f216(x18621),x18622),x18623)))
% 19.04/19.06 [1865]E(f12(a185,a1,x18651,f60(x18652,x18651,x18653)),x18652)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x18652),f12(a185,a1,x18651,x18653)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f61(x18652,x18651,x18653)),x18653))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x18651,f183(a185))),x18652))
% 19.04/19.06 [1866]E(f12(a185,a1,x18661,f70(x18662,x18661,x18663)),x18662)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x18662),f12(a185,a1,x18661,x18663)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f71(x18662,x18661,x18663)),x18663))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x18661,f183(a185))),x18662))
% 19.04/19.06 [1881]E(f12(f166(x18811,a2),f166(x18811,a2),f7(f166(x18811,a2)),x18812),f12(f166(x18811,a2),f166(x18811,a2),f7(f166(x18811,a2)),x18813))+~P21(f12(f166(x18811,a2),a2,f175(x18811),x18812))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(f166(x18811,a2),a185,f167(x18811),x18812)),f12(f166(x18811,a2),a185,f167(x18811),x18813)))+~P21(f12(f166(x18811,a2),a2,f12(f166(x18811,a2),f166(f166(x18811,a2),a2),f199(f166(x18811,a2)),x18813),x18812))
% 19.04/19.06 [1929]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x19291),f12(a185,a1,x19292,x19293)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f60(x19291,x19292,x19293)),x19293))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f61(x19291,x19292,x19293)),x19293))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x19292,f183(a185))),x19291))
% 19.04/19.06 [1930]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x19301),f12(a185,a1,x19302,x19303)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f70(x19301,x19302,x19303)),x19303))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f71(x19301,x19302,x19303)),x19303))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x19302,f183(a185))),x19301))
% 19.04/19.06 [1952]~P21(f12(f166(x19521,a2),a2,f175(x19521),x19523))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(f166(x19521,a2),a185,f167(x19521),x19522)),f12(f166(x19521,a2),a185,f167(x19521),x19523)))+~P21(f12(f166(x19521,a2),a2,f12(f166(x19521,a2),f166(f166(x19521,a2),a2),f199(f166(x19521,a2)),x19522),x19523))+P21(f12(f166(x19521,a2),a2,f12(f166(x19521,a2),f166(f166(x19521,a2),a2),f200(f166(x19521,a2)),x19522),x19523))
% 19.04/19.06 [2125]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21253),x21251))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x21251),x21252))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21253),x21252))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21251),x21253)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21252),x21253)))
% 19.04/19.06 [2126]~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21263),x21261))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21261),x21262))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21263),x21262))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21261),x21263)),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x21262),x21263)))
% 19.04/19.06 [2274]E(f12(a185,a1,x22741,f60(x22742,x22741,x22743)),x22742)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22742),f12(a185,a1,x22741,x22743)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,x22741,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f61(x22742,x22741,x22743)),f195(a185)))),f12(a185,a1,x22741,f61(x22742,x22741,x22743))))),f195(a1)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x22741,f183(a185))),x22742))
% 19.04/19.06 [2275]E(f12(a185,a1,x22751,f70(x22752,x22751,x22753)),x22752)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22752),f12(a185,a1,x22751,x22753)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,x22751,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f71(x22752,x22751,x22753)),f195(a185)))),f12(a185,a1,x22751,f71(x22752,x22751,x22753))))),f195(a1)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x22751,f183(a185))),x22752))
% 19.04/19.06 [2277]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22771),f12(a185,a1,x22772,x22773)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,x22772,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f61(x22771,x22772,x22773)),f195(a185)))),f12(a185,a1,x22772,f61(x22771,x22772,x22773))))),f195(a1)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f60(x22771,x22772,x22773)),x22773))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x22772,f183(a185))),x22771))
% 19.04/19.06 [2278]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22781),f12(a185,a1,x22782,x22783)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,x22782,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f71(x22781,x22782,x22783)),f195(a185)))),f12(a185,a1,x22782,f71(x22781,x22782,x22783))))),f195(a1)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f70(x22781,x22782,x22783)),x22783))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x22782,f183(a185))),x22781))
% 19.04/19.06 [2153]~P21(f12(f166(x21531,a2),a2,f175(x21531),x21533))+~P21(f12(f166(x21531,a2),a2,x21532,x21533))+P21(f12(f166(x21531,a2),a2,x21532,f6(f166(x21531,a2))))+~P21(f12(f166(x21531,a2),a2,x21532,f12(f166(x21531,a2),f166(x21531,a2),f12(f166(x21531,a2),f166(f166(x21531,a2),f166(x21531,a2)),f190(f166(x21531,a2)),f81(x21531,x21532,x21533)),f12(f166(x21531,a2),f166(x21531,a2),f12(x21531,f166(f166(x21531,a2),f166(x21531,a2)),f182(x21531),f82(x21531,x21532,x21533)),f6(f166(x21531,a2))))))
% 19.04/19.06 [2180]~P24(x21801)+~E(f12(x21801,x21801,f7(x21801),x21802),f183(x21801))+~E(f12(x21801,x21801,f7(x21801),x21803),f183(x21801))+~P21(f12(x21801,a2,f12(x21801,f166(x21801,a2),f200(x21801),f183(x21801)),f12(x21801,x21801,f12(x21801,f166(x21801,x21801),f203(x21801),f12(x21801,x21801,f12(x21801,f166(x21801,x21801),f216(x21801),x21803),x21803)),f12(x21801,x21801,f12(x21801,f166(x21801,x21801),f216(x21801),x21802),x21802))))
% 19.04/19.06 [2168]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21683))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x21681))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x21682),x21683))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x21683),x21681)),x21682)))
% 19.04/19.06 [1317]E(f12(f166(x13171,a2),x13171,f212(x13171),x13172),f12(x13171,x13171,f7(x13171),x13173))+~P21(f12(x13171,a2,x13172,x13174))+~P21(f12(x13171,a2,x13172,x13173))+P21(f12(x13171,a2,x13172,f106(x13171,x13173,x13172,x13174)))
% 19.04/19.06 [1324]~E(f12(x13241,x13241,f7(x13241),f106(x13241,x13243,x13242,x13244)),f12(x13241,x13241,f7(x13241),x13244))+E(f12(f166(x13241,a2),x13241,f212(x13241),x13242),f12(x13241,x13241,f7(x13241),x13243))+~P21(f12(x13241,a2,x13242,x13244))+~P21(f12(x13241,a2,x13242,x13243))
% 19.04/19.06 [1449]~P40(x14491)+~E(f12(x14491,x14491,f7(x14491),x14494),f12(x14491,x14491,f7(x14491),x14492))+~P21(f12(x14491,a2,f12(x14491,f166(x14491,a2),f200(x14491),x14494),x14493))+P21(f12(x14491,a2,f12(x14491,f166(x14491,a2),f200(x14491),x14492),x14493))
% 19.04/19.06 [1450]~P40(x14501)+~E(f12(x14501,x14501,f7(x14501),x14503),f12(x14501,x14501,f7(x14501),x14504))+~P21(f12(x14501,a2,f12(x14501,f166(x14501,a2),f200(x14501),x14502),x14504))+P21(f12(x14501,a2,f12(x14501,f166(x14501,a2),f200(x14501),x14502),x14503))
% 19.04/19.06 [1452]~P40(x14521)+~E(f12(x14521,x14521,f7(x14521),x14524),f12(x14521,x14521,f7(x14521),x14522))+~P21(f12(x14521,a2,f12(x14521,f166(x14521,a2),f199(x14521),x14524),x14523))+P21(f12(x14521,a2,f12(x14521,f166(x14521,a2),f199(x14521),x14522),x14523))
% 19.04/19.07 [1453]~P40(x14531)+~E(f12(x14531,x14531,f7(x14531),x14533),f12(x14531,x14531,f7(x14531),x14534))+~P21(f12(x14531,a2,f12(x14531,f166(x14531,a2),f199(x14531),x14532),x14534))+P21(f12(x14531,a2,f12(x14531,f166(x14531,a2),f199(x14531),x14532),x14533))
% 19.04/19.07 [1588]~P40(x15881)+~P21(f12(x15881,a2,f12(x15881,f166(x15881,a2),f200(x15881),x15884),x15883))+~P21(f12(x15881,a2,f12(x15881,f166(x15881,a2),f200(x15881),x15882),x15884))+P21(f12(x15881,a2,f12(x15881,f166(x15881,a2),f200(x15881),x15882),x15883))
% 19.04/19.07 [1589]~P40(x15891)+~P21(f12(x15891,a2,f12(x15891,f166(x15891,a2),f199(x15891),x15894),x15893))+~P21(f12(x15891,a2,f12(x15891,f166(x15891,a2),f200(x15891),x15892),x15894))+P21(f12(x15891,a2,f12(x15891,f166(x15891,a2),f200(x15891),x15892),x15893))
% 19.04/19.07 [1590]~P40(x15901)+~P21(f12(x15901,a2,f12(x15901,f166(x15901,a2),f199(x15901),x15902),x15904))+~P21(f12(x15901,a2,f12(x15901,f166(x15901,a2),f200(x15901),x15904),x15903))+P21(f12(x15901,a2,f12(x15901,f166(x15901,a2),f200(x15901),x15902),x15903))
% 19.04/19.07 [1591]~P43(x15911)+~P21(f12(x15911,a2,f12(x15911,f166(x15911,a2),f200(x15911),x15912),x15914))+~P21(f12(x15911,a2,f12(x15911,f166(x15911,a2),f200(x15911),x15914),x15913))+P21(f12(x15911,a2,f12(x15911,f166(x15911,a2),f200(x15911),x15912),x15913))
% 19.04/19.07 [1592]~P43(x15921)+~P21(f12(x15921,a2,f12(x15921,f166(x15921,a2),f199(x15921),x15922),x15924))+~P21(f12(x15921,a2,f12(x15921,f166(x15921,a2),f200(x15921),x15924),x15923))+P21(f12(x15921,a2,f12(x15921,f166(x15921,a2),f200(x15921),x15922),x15923))
% 19.04/19.07 [1593]~P43(x15931)+~P21(f12(x15931,a2,f12(x15931,f166(x15931,a2),f199(x15931),x15934),x15933))+~P21(f12(x15931,a2,f12(x15931,f166(x15931,a2),f200(x15931),x15932),x15934))+P21(f12(x15931,a2,f12(x15931,f166(x15931,a2),f200(x15931),x15932),x15933))
% 19.04/19.07 [1594]~P40(x15941)+~P21(f12(x15941,a2,f12(x15941,f166(x15941,a2),f199(x15941),x15944),x15943))+~P21(f12(x15941,a2,f12(x15941,f166(x15941,a2),f199(x15941),x15942),x15944))+P21(f12(x15941,a2,f12(x15941,f166(x15941,a2),f199(x15941),x15942),x15943))
% 19.04/19.07 [1595]~P43(x15951)+~P21(f12(x15951,a2,f12(x15951,f166(x15951,a2),f199(x15951),x15952),x15954))+~P21(f12(x15951,a2,f12(x15951,f166(x15951,a2),f199(x15951),x15954),x15953))+P21(f12(x15951,a2,f12(x15951,f166(x15951,a2),f199(x15951),x15952),x15953))
% 19.04/19.07 [1603]~P15(x16031)+P21(f12(x16031,a2,f12(x16031,f166(x16031,a2),f200(x16031),x16034),f137(x16031,x16033,x16034,x16032)))+~P21(f12(x16031,a2,f12(x16031,f166(x16031,a2),f200(x16031),x16034),x16032))+P21(f12(x16031,a2,f12(x16031,f166(x16031,a2),f199(x16031),x16032),x16033))
% 19.04/19.07 [1608]~E(f12(f166(x16081,a2),f166(x16081,a2),f7(f166(x16081,a2)),x16083),f12(f166(x16081,a2),f166(x16081,a2),f7(f166(x16081,a2)),x16084))+E(f12(f166(x16081,a2),f166(x16081,a2),f12(x16081,f166(f166(x16081,a2),f166(x16081,a2)),f182(x16081),x16082),x16083),f12(f166(x16081,a2),f166(x16081,a2),f12(x16081,f166(f166(x16081,a2),f166(x16081,a2)),f182(x16081),x16082),x16084))+P21(f12(f166(x16081,a2),a2,f12(x16081,f166(f166(x16081,a2),a2),f189(x16081),x16082),x16083))+P21(f12(f166(x16081,a2),a2,f12(x16081,f166(f166(x16081,a2),a2),f189(x16081),x16082),x16084))
% 19.04/19.07 [1671]~E(f12(f166(x16711,a2),f166(x16711,a2),f12(x16711,f166(f166(x16711,a2),f166(x16711,a2)),f182(x16711),x16714),x16712),f12(f166(x16711,a2),f166(x16711,a2),f12(x16711,f166(f166(x16711,a2),f166(x16711,a2)),f182(x16711),x16714),x16713))+E(f12(f166(x16711,a2),f166(x16711,a2),f7(f166(x16711,a2)),x16712),f12(f166(x16711,a2),f166(x16711,a2),f7(f166(x16711,a2)),x16713))+P21(f12(f166(x16711,a2),a2,f12(x16711,f166(f166(x16711,a2),a2),f189(x16711),x16714),x16712))+P21(f12(f166(x16711,a2),a2,f12(x16711,f166(f166(x16711,a2),a2),f189(x16711),x16714),x16713))
% 19.04/19.07 [1672]~P15(x16721)+~P21(f12(x16721,a2,f12(x16721,f166(x16721,a2),f200(x16721),x16724),x16722))+P21(f12(x16721,a2,f12(x16721,f166(x16721,a2),f200(x16721),f137(x16721,x16723,x16724,x16722)),x16722))+P21(f12(x16721,a2,f12(x16721,f166(x16721,a2),f199(x16721),x16722),x16723))
% 19.04/19.07 [1774]~P15(x17741)+~P21(f12(x17741,a2,f12(x17741,f166(x17741,a2),f199(x17741),f137(x17741,x17743,x17744,x17742)),x17743))+~P21(f12(x17741,a2,f12(x17741,f166(x17741,a2),f200(x17741),x17744),x17742))+P21(f12(x17741,a2,f12(x17741,f166(x17741,a2),f199(x17741),x17742),x17743))
% 19.04/19.07 [1836]~P14(x18362)+~E(f12(x18361,x18362,x18363,f24(x18361,x18362,x18363,x18364)),f195(x18362))+E(f12(f166(x18361,a2),x18362,f12(x18362,f166(f166(x18361,a2),x18362),f12(f166(x18361,x18362),f166(x18362,f166(f166(x18361,a2),x18362)),f12(f166(x18362,f166(x18362,x18362)),f166(f166(x18361,x18362),f166(x18362,f166(f166(x18361,a2),x18362))),f178(x18362,x18361),f216(x18362)),x18363),f195(x18362)),x18364),f195(x18362))+~P21(f12(f166(x18361,a2),a2,f175(x18361),x18364))
% 19.04/19.07 [1931]~P14(x19312)+E(f12(f166(x19311,a2),x19312,f12(x19312,f166(f166(x19311,a2),x19312),f12(f166(x19311,x19312),f166(x19312,f166(f166(x19311,a2),x19312)),f12(f166(x19312,f166(x19312,x19312)),f166(f166(x19311,x19312),f166(x19312,f166(f166(x19311,a2),x19312))),f178(x19312,x19311),f216(x19312)),x19313),f195(x19312)),x19314),f195(x19312))+~P21(f12(f166(x19311,a2),a2,f175(x19311),x19314))+P21(f12(f166(x19311,a2),a2,f12(x19311,f166(f166(x19311,a2),a2),f189(x19311),f24(x19311,x19312,x19313,x19314)),x19314))
% 19.04/19.07 [2276]~P21(f12(f166(x22761,a2),a2,f175(x22761),x22762))+~P21(f12(f166(x22761,a2),a2,f12(x22761,f166(f166(x22761,a2),a2),f189(x22761),x22763),x22762))+~P21(f12(f166(x22761,a2),a2,f12(x22761,f166(f166(x22761,a2),a2),f189(x22761),x22764),x22762))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(f166(x22761,a2),a185,f167(x22761),f12(f166(x22761,a2),f166(x22761,a2),f12(f166(x22761,a2),f166(f166(x22761,a2),f166(x22761,a2)),f190(f166(x22761,a2)),f12(f166(x22761,a2),f166(x22761,a2),f12(f166(x22761,a2),f166(f166(x22761,a2),f166(x22761,a2)),f190(f166(x22761,a2)),x22762),f12(f166(x22761,a2),f166(x22761,a2),f12(x22761,f166(f166(x22761,a2),f166(x22761,a2)),f182(x22761),x22763),f6(f166(x22761,a2))))),f12(f166(x22761,a2),f166(x22761,a2),f12(x22761,f166(f166(x22761,a2),f166(x22761,a2)),f182(x22761),x22764),f6(f166(x22761,a2)))))),f12(f166(x22761,a2),a185,f167(x22761),x22762)))
% 19.04/19.07 [1673]~P39(x16732)+~P21(f12(f166(x16731,x16732),a2,f12(f166(x16731,x16732),f166(f166(x16731,x16732),a2),f199(f166(x16731,x16732)),x16733),x16734))+P21(f12(f166(x16731,x16732),a2,f12(f166(x16731,x16732),f166(f166(x16731,x16732),a2),f199(f166(x16731,x16732)),x16734),x16733))+P21(f12(f166(x16731,x16732),a2,f12(f166(x16731,x16732),f166(f166(x16731,x16732),a2),f200(f166(x16731,x16732)),x16733),x16734))
% 19.04/19.07 [1776]~P26(x17761)+~P21(f12(x17761,a2,f12(x17761,f166(x17761,a2),f200(x17761),f183(x17761)),x17763))+~P21(f12(x17761,a2,f12(x17761,f166(x17761,a2),f200(x17761),x17762),x17764))+P21(f12(x17761,a2,f12(x17761,f166(x17761,a2),f200(x17761),x17762),f12(x17761,x17761,f12(x17761,f166(x17761,x17761),f203(x17761),x17763),x17764)))
% 19.04/19.07 [1777]~P47(x17771)+~P21(f12(x17771,a2,f12(x17771,f166(x17771,a2),f199(x17771),f183(x17771)),x17773))+~P21(f12(x17771,a2,f12(x17771,f166(x17771,a2),f200(x17771),x17772),x17774))+P21(f12(x17771,a2,f12(x17771,f166(x17771,a2),f200(x17771),x17772),f12(x17771,x17771,f12(x17771,f166(x17771,x17771),f203(x17771),x17773),x17774)))
% 19.04/19.07 [1778]~P47(x17781)+~P21(f12(x17781,a2,f12(x17781,f166(x17781,a2),f200(x17781),f183(x17781)),x17783))+~P21(f12(x17781,a2,f12(x17781,f166(x17781,a2),f199(x17781),x17782),x17784))+P21(f12(x17781,a2,f12(x17781,f166(x17781,a2),f200(x17781),x17782),f12(x17781,x17781,f12(x17781,f166(x17781,x17781),f203(x17781),x17783),x17784)))
% 19.04/19.07 [1779]~P47(x17791)+~P21(f12(x17791,a2,f12(x17791,f166(x17791,a2),f199(x17791),f183(x17791)),x17794))+~P21(f12(x17791,a2,f12(x17791,f166(x17791,a2),f199(x17791),x17792),x17793))+P21(f12(x17791,a2,f12(x17791,f166(x17791,a2),f199(x17791),x17792),f12(x17791,x17791,f12(x17791,f166(x17791,x17791),f203(x17791),x17793),x17794)))
% 19.04/19.07 [1780]~P47(x17801)+~P21(f12(x17801,a2,f12(x17801,f166(x17801,a2),f199(x17801),f183(x17801)),x17803))+~P21(f12(x17801,a2,f12(x17801,f166(x17801,a2),f199(x17801),x17802),x17804))+P21(f12(x17801,a2,f12(x17801,f166(x17801,a2),f199(x17801),x17802),f12(x17801,x17801,f12(x17801,f166(x17801,x17801),f203(x17801),x17803),x17804)))
% 19.04/19.07 [1912]P21(f12(f166(x19121,a2),a2,f12(x19121,f166(f166(x19121,a2),a2),f189(x19121),x19122),x19124))+P21(f12(f166(x19121,a2),a2,f12(x19121,f166(f166(x19121,a2),a2),f189(x19121),x19122),x19123))+~P21(f12(f166(x19121,a2),a2,f12(f166(x19121,a2),f166(f166(x19121,a2),a2),f199(f166(x19121,a2)),x19124),x19123))+P21(f12(f166(x19121,a2),a2,f12(f166(x19121,a2),f166(f166(x19121,a2),a2),f200(f166(x19121,a2)),x19124),f12(f166(x19121,a2),f166(x19121,a2),f12(x19121,f166(f166(x19121,a2),f166(x19121,a2)),f182(x19121),x19122),x19123)))
% 19.04/19.07 [1969]P21(f12(f166(x19691,a2),a2,f12(x19691,f166(f166(x19691,a2),a2),f189(x19691),x19692),x19693))+~P21(f12(f166(x19691,a2),a2,f12(f166(x19691,a2),f166(f166(x19691,a2),a2),f199(f166(x19691,a2)),x19693),x19694))+~P21(f12(f166(x19691,a2),a2,f12(f166(x19691,a2),f166(f166(x19691,a2),a2),f200(f166(x19691,a2)),x19693),x19694))+P21(f12(f166(x19691,a2),a2,f12(f166(x19691,a2),f166(f166(x19691,a2),a2),f200(f166(x19691,a2)),x19693),f12(f166(x19691,a2),f166(x19691,a2),f12(x19691,f166(f166(x19691,a2),f166(x19691,a2)),f182(x19691),x19692),x19694)))
% 19.04/19.07 [1980]P21(f12(f166(x19801,a2),a2,f12(x19801,f166(f166(x19801,a2),a2),f189(x19801),x19802),x19804))+P21(f12(f166(x19801,a2),a2,f12(x19801,f166(f166(x19801,a2),a2),f189(x19801),x19802),x19803))+~P21(f12(f166(x19801,a2),a2,f12(f166(x19801,a2),f166(f166(x19801,a2),a2),f200(f166(x19801,a2)),x19804),f12(f166(x19801,a2),f166(x19801,a2),f12(x19801,f166(f166(x19801,a2),f166(x19801,a2)),f182(x19801),x19802),x19803)))+P21(f12(f166(x19801,a2),a2,f12(f166(x19801,a2),f166(f166(x19801,a2),a2),f199(f166(x19801,a2)),x19804),x19803))
% 19.04/19.07 [2016]~P24(x20161)+~P21(f12(x20161,a2,f12(x20161,f166(x20161,a2),f200(x20161),x20163),f183(x20161)))+~P21(f12(x20161,a2,f12(x20161,f166(x20161,a2),f200(x20161),x20164),x20162))+P21(f12(x20161,a2,f12(x20161,f166(x20161,a2),f200(x20161),f12(x20161,x20161,f12(x20161,f166(x20161,x20161),f216(x20161),x20162),x20163)),f12(x20161,x20161,f12(x20161,f166(x20161,x20161),f216(x20161),x20164),x20163)))
% 19.04/19.07 [2017]~P24(x20171)+~P21(f12(x20171,a2,f12(x20171,f166(x20171,a2),f200(x20171),x20172),f183(x20171)))+~P21(f12(x20171,a2,f12(x20171,f166(x20171,a2),f200(x20171),x20174),x20173))+P21(f12(x20171,a2,f12(x20171,f166(x20171,a2),f200(x20171),f12(x20171,x20171,f12(x20171,f166(x20171,x20171),f216(x20171),x20172),x20173)),f12(x20171,x20171,f12(x20171,f166(x20171,x20171),f216(x20171),x20172),x20174)))
% 19.04/19.07 [2018]~P51(x20181)+~P21(f12(x20181,a2,f12(x20181,f166(x20181,a2),f199(x20181),x20182),f183(x20181)))+~P21(f12(x20181,a2,f12(x20181,f166(x20181,a2),f199(x20181),x20184),x20183))+P21(f12(x20181,a2,f12(x20181,f166(x20181,a2),f199(x20181),f12(x20181,x20181,f12(x20181,f166(x20181,x20181),f216(x20181),x20182),x20183)),f12(x20181,x20181,f12(x20181,f166(x20181,x20181),f216(x20181),x20182),x20184)))
% 19.04/19.07 [2019]~P24(x20191)+~P21(f12(x20191,a2,f12(x20191,f166(x20191,a2),f200(x20191),x20192),f183(x20191)))+~P21(f12(x20191,a2,f12(x20191,f166(x20191,a2),f199(x20191),x20194),x20193))+P21(f12(x20191,a2,f12(x20191,f166(x20191,a2),f199(x20191),f12(x20191,x20191,f12(x20191,f166(x20191,x20191),f216(x20191),x20192),x20193)),f12(x20191,x20191,f12(x20191,f166(x20191,x20191),f216(x20191),x20192),x20194)))
% 19.04/19.07 [2020]~P51(x20201)+~P21(f12(x20201,a2,f12(x20201,f166(x20201,a2),f199(x20201),x20203),f183(x20201)))+~P21(f12(x20201,a2,f12(x20201,f166(x20201,a2),f199(x20201),x20204),x20202))+P21(f12(x20201,a2,f12(x20201,f166(x20201,a2),f199(x20201),f12(x20201,x20201,f12(x20201,f166(x20201,x20201),f216(x20201),x20202),x20203)),f12(x20201,x20201,f12(x20201,f166(x20201,x20201),f216(x20201),x20204),x20203)))
% 19.04/19.07 [2022]~P19(x20221)+~P21(f12(x20221,a2,f12(x20221,f166(x20221,a2),f200(x20221),f183(x20221)),x20222))+~P21(f12(x20221,a2,f12(x20221,f166(x20221,a2),f200(x20221),x20223),x20224))+P21(f12(x20221,a2,f12(x20221,f166(x20221,a2),f200(x20221),f12(x20221,x20221,f12(x20221,f166(x20221,x20221),f216(x20221),x20222),x20223)),f12(x20221,x20221,f12(x20221,f166(x20221,x20221),f216(x20221),x20222),x20224)))
% 19.04/19.07 [2023]~P25(x20231)+~P21(f12(x20231,a2,f12(x20231,f166(x20231,a2),f200(x20231),f183(x20231)),x20232))+~P21(f12(x20231,a2,f12(x20231,f166(x20231,a2),f200(x20231),x20233),x20234))+P21(f12(x20231,a2,f12(x20231,f166(x20231,a2),f200(x20231),f12(x20231,x20231,f12(x20231,f166(x20231,x20231),f216(x20231),x20232),x20233)),f12(x20231,x20231,f12(x20231,f166(x20231,x20231),f216(x20231),x20232),x20234)))
% 19.04/19.07 [2024]~P24(x20241)+~P21(f12(x20241,a2,f12(x20241,f166(x20241,a2),f200(x20241),f183(x20241)),x20243))+~P21(f12(x20241,a2,f12(x20241,f166(x20241,a2),f200(x20241),x20242),x20244))+P21(f12(x20241,a2,f12(x20241,f166(x20241,a2),f200(x20241),f12(x20241,x20241,f12(x20241,f166(x20241,x20241),f216(x20241),x20242),x20243)),f12(x20241,x20241,f12(x20241,f166(x20241,x20241),f216(x20241),x20244),x20243)))
% 19.04/19.07 [2025]~P19(x20251)+~P21(f12(x20251,a2,f12(x20251,f166(x20251,a2),f200(x20251),f183(x20251)),x20253))+~P21(f12(x20251,a2,f12(x20251,f166(x20251,a2),f200(x20251),x20252),x20254))+P21(f12(x20251,a2,f12(x20251,f166(x20251,a2),f200(x20251),f12(x20251,x20251,f12(x20251,f166(x20251,x20251),f216(x20251),x20252),x20253)),f12(x20251,x20251,f12(x20251,f166(x20251,x20251),f216(x20251),x20254),x20253)))
% 19.04/19.07 [2026]~P24(x20261)+~P21(f12(x20261,a2,f12(x20261,f166(x20261,a2),f200(x20261),f183(x20261)),x20262))+~P21(f12(x20261,a2,f12(x20261,f166(x20261,a2),f200(x20261),x20263),x20264))+P21(f12(x20261,a2,f12(x20261,f166(x20261,a2),f200(x20261),f12(x20261,x20261,f12(x20261,f166(x20261,x20261),f216(x20261),x20262),x20263)),f12(x20261,x20261,f12(x20261,f166(x20261,x20261),f216(x20261),x20262),x20264)))
% 19.04/19.07 [2027]~P52(x20271)+~P21(f12(x20271,a2,f12(x20271,f166(x20271,a2),f199(x20271),f183(x20271)),x20272))+~P21(f12(x20271,a2,f12(x20271,f166(x20271,a2),f199(x20271),x20273),x20274))+P21(f12(x20271,a2,f12(x20271,f166(x20271,a2),f199(x20271),f12(x20271,x20271,f12(x20271,f166(x20271,x20271),f216(x20271),x20272),x20273)),f12(x20271,x20271,f12(x20271,f166(x20271,x20271),f216(x20271),x20272),x20274)))
% 19.04/19.07 [2028]~P48(x20281)+~P21(f12(x20281,a2,f12(x20281,f166(x20281,a2),f199(x20281),f183(x20281)),x20282))+~P21(f12(x20281,a2,f12(x20281,f166(x20281,a2),f199(x20281),x20283),x20284))+P21(f12(x20281,a2,f12(x20281,f166(x20281,a2),f199(x20281),f12(x20281,x20281,f12(x20281,f166(x20281,x20281),f216(x20281),x20282),x20283)),f12(x20281,x20281,f12(x20281,f166(x20281,x20281),f216(x20281),x20282),x20284)))
% 19.04/19.07 [2029]~P24(x20291)+~P21(f12(x20291,a2,f12(x20291,f166(x20291,a2),f200(x20291),f183(x20291)),x20292))+~P21(f12(x20291,a2,f12(x20291,f166(x20291,a2),f199(x20291),x20293),x20294))+P21(f12(x20291,a2,f12(x20291,f166(x20291,a2),f199(x20291),f12(x20291,x20291,f12(x20291,f166(x20291,x20291),f216(x20291),x20292),x20293)),f12(x20291,x20291,f12(x20291,f166(x20291,x20291),f216(x20291),x20292),x20294)))
% 19.04/19.07 [2030]~P52(x20301)+~P21(f12(x20301,a2,f12(x20301,f166(x20301,a2),f199(x20301),f183(x20301)),x20303))+~P21(f12(x20301,a2,f12(x20301,f166(x20301,a2),f199(x20301),x20302),x20304))+P21(f12(x20301,a2,f12(x20301,f166(x20301,a2),f199(x20301),f12(x20301,x20301,f12(x20301,f166(x20301,x20301),f216(x20301),x20302),x20303)),f12(x20301,x20301,f12(x20301,f166(x20301,x20301),f216(x20301),x20304),x20303)))
% 19.04/19.07 [2081]~P24(x20811)+P21(f12(x20811,a2,f12(x20811,f166(x20811,a2),f200(x20811),x20813),x20812))+P21(f12(x20811,a2,f12(x20811,f166(x20811,a2),f200(x20811),x20812),x20813))+~P21(f12(x20811,a2,f12(x20811,f166(x20811,a2),f200(x20811),f12(x20811,x20811,f12(x20811,f166(x20811,x20811),f216(x20811),x20814),x20812)),f12(x20811,x20811,f12(x20811,f166(x20811,x20811),f216(x20811),x20814),x20813)))
% 19.04/19.07 [2082]~P24(x20821)+P21(f12(x20821,a2,f12(x20821,f166(x20821,a2),f200(x20821),x20823),x20822))+P21(f12(x20821,a2,f12(x20821,f166(x20821,a2),f200(x20821),x20822),x20823))+~P21(f12(x20821,a2,f12(x20821,f166(x20821,a2),f200(x20821),f12(x20821,x20821,f12(x20821,f166(x20821,x20821),f216(x20821),x20822),x20824)),f12(x20821,x20821,f12(x20821,f166(x20821,x20821),f216(x20821),x20823),x20824)))
% 19.04/19.07 [2083]~P24(x20831)+P21(f12(x20831,a2,f12(x20831,f166(x20831,a2),f200(x20831),x20834),f183(x20831)))+P21(f12(x20831,a2,f12(x20831,f166(x20831,a2),f200(x20831),x20832),x20833))+~P21(f12(x20831,a2,f12(x20831,f166(x20831,a2),f200(x20831),f12(x20831,x20831,f12(x20831,f166(x20831,x20831),f216(x20831),x20832),x20834)),f12(x20831,x20831,f12(x20831,f166(x20831,x20831),f216(x20831),x20833),x20834)))
% 19.04/19.07 [2084]~P24(x20841)+P21(f12(x20841,a2,f12(x20841,f166(x20841,a2),f200(x20841),x20844),f183(x20841)))+P21(f12(x20841,a2,f12(x20841,f166(x20841,a2),f200(x20841),x20842),x20843))+~P21(f12(x20841,a2,f12(x20841,f166(x20841,a2),f200(x20841),f12(x20841,x20841,f12(x20841,f166(x20841,x20841),f216(x20841),x20844),x20842)),f12(x20841,x20841,f12(x20841,f166(x20841,x20841),f216(x20841),x20844),x20843)))
% 19.04/19.07 [2085]~P24(x20851)+P21(f12(x20851,a2,f12(x20851,f166(x20851,a2),f200(x20851),f183(x20851)),x20854))+P21(f12(x20851,a2,f12(x20851,f166(x20851,a2),f200(x20851),x20852),x20853))+~P21(f12(x20851,a2,f12(x20851,f166(x20851,a2),f200(x20851),f12(x20851,x20851,f12(x20851,f166(x20851,x20851),f216(x20851),x20854),x20853)),f12(x20851,x20851,f12(x20851,f166(x20851,x20851),f216(x20851),x20854),x20852)))
% 19.04/19.07 [2086]~P24(x20861)+P21(f12(x20861,a2,f12(x20861,f166(x20861,a2),f200(x20861),f183(x20861)),x20864))+P21(f12(x20861,a2,f12(x20861,f166(x20861,a2),f200(x20861),x20862),x20863))+~P21(f12(x20861,a2,f12(x20861,f166(x20861,a2),f200(x20861),f12(x20861,x20861,f12(x20861,f166(x20861,x20861),f216(x20861),x20863),x20864)),f12(x20861,x20861,f12(x20861,f166(x20861,x20861),f216(x20861),x20862),x20864)))
% 19.04/19.07 [2087]~P24(x20871)+P21(f12(x20871,a2,f12(x20871,f166(x20871,a2),f200(x20871),x20872),f183(x20871)))+P21(f12(x20871,a2,f12(x20871,f166(x20871,a2),f200(x20871),f183(x20871)),x20872))+~P21(f12(x20871,a2,f12(x20871,f166(x20871,a2),f200(x20871),f12(x20871,x20871,f12(x20871,f166(x20871,x20871),f216(x20871),x20873),x20872)),f12(x20871,x20871,f12(x20871,f166(x20871,x20871),f216(x20871),x20874),x20872)))
% 19.04/19.07 [2088]~P24(x20881)+P21(f12(x20881,a2,f12(x20881,f166(x20881,a2),f200(x20881),x20882),f183(x20881)))+P21(f12(x20881,a2,f12(x20881,f166(x20881,a2),f200(x20881),f183(x20881)),x20882))+~P21(f12(x20881,a2,f12(x20881,f166(x20881,a2),f200(x20881),f12(x20881,x20881,f12(x20881,f166(x20881,x20881),f216(x20881),x20882),x20883)),f12(x20881,x20881,f12(x20881,f166(x20881,x20881),f216(x20881),x20882),x20884)))
% 19.04/19.07 [2105]~P24(x21051)+~P21(f12(x21051,a2,f12(x21051,f166(x21051,a2),f200(x21051),x21054),f183(x21051)))+P21(f12(x21051,a2,f12(x21051,f166(x21051,a2),f200(x21051),x21052),x21053))+~P21(f12(x21051,a2,f12(x21051,f166(x21051,a2),f200(x21051),f12(x21051,x21051,f12(x21051,f166(x21051,x21051),f216(x21051),x21054),x21053)),f12(x21051,x21051,f12(x21051,f166(x21051,x21051),f216(x21051),x21054),x21052)))
% 19.04/19.07 [2106]~P24(x21061)+~P21(f12(x21061,a2,f12(x21061,f166(x21061,a2),f200(x21061),x21064),f183(x21061)))+P21(f12(x21061,a2,f12(x21061,f166(x21061,a2),f199(x21061),x21062),x21063))+~P21(f12(x21061,a2,f12(x21061,f166(x21061,a2),f199(x21061),f12(x21061,x21061,f12(x21061,f166(x21061,x21061),f216(x21061),x21064),x21063)),f12(x21061,x21061,f12(x21061,f166(x21061,x21061),f216(x21061),x21064),x21062)))
% 19.04/19.07 [2107]~P24(x21071)+~P21(f12(x21071,a2,f12(x21071,f166(x21071,a2),f200(x21071),f183(x21071)),x21074))+P21(f12(x21071,a2,f12(x21071,f166(x21071,a2),f200(x21071),x21072),x21073))+~P21(f12(x21071,a2,f12(x21071,f166(x21071,a2),f200(x21071),f12(x21071,x21071,f12(x21071,f166(x21071,x21071),f216(x21071),x21074),x21072)),f12(x21071,x21071,f12(x21071,f166(x21071,x21071),f216(x21071),x21074),x21073)))
% 19.04/19.07 [2108]~P19(x21081)+~P21(f12(x21081,a2,f12(x21081,f166(x21081,a2),f199(x21081),f183(x21081)),x21084))+P21(f12(x21081,a2,f12(x21081,f166(x21081,a2),f200(x21081),x21082),x21083))+~P21(f12(x21081,a2,f12(x21081,f166(x21081,a2),f200(x21081),f12(x21081,x21081,f12(x21081,f166(x21081,x21081),f216(x21081),x21084),x21082)),f12(x21081,x21081,f12(x21081,f166(x21081,x21081),f216(x21081),x21084),x21083)))
% 19.04/19.07 [2109]~P30(x21091)+~P21(f12(x21091,a2,f12(x21091,f166(x21091,a2),f199(x21091),f183(x21091)),x21094))+P21(f12(x21091,a2,f12(x21091,f166(x21091,a2),f200(x21091),x21092),x21093))+~P21(f12(x21091,a2,f12(x21091,f166(x21091,a2),f200(x21091),f12(x21091,x21091,f12(x21091,f166(x21091,x21091),f216(x21091),x21094),x21092)),f12(x21091,x21091,f12(x21091,f166(x21091,x21091),f216(x21091),x21094),x21093)))
% 19.04/19.07 [2110]~P19(x21101)+~P21(f12(x21101,a2,f12(x21101,f166(x21101,a2),f199(x21101),f183(x21101)),x21104))+P21(f12(x21101,a2,f12(x21101,f166(x21101,a2),f200(x21101),x21102),x21103))+~P21(f12(x21101,a2,f12(x21101,f166(x21101,a2),f200(x21101),f12(x21101,x21101,f12(x21101,f166(x21101,x21101),f216(x21101),x21102),x21104)),f12(x21101,x21101,f12(x21101,f166(x21101,x21101),f216(x21101),x21103),x21104)))
% 19.04/19.07 [2111]~P30(x21111)+~P21(f12(x21111,a2,f12(x21111,f166(x21111,a2),f199(x21111),f183(x21111)),x21114))+P21(f12(x21111,a2,f12(x21111,f166(x21111,a2),f200(x21111),x21112),x21113))+~P21(f12(x21111,a2,f12(x21111,f166(x21111,a2),f200(x21111),f12(x21111,x21111,f12(x21111,f166(x21111,x21111),f216(x21111),x21112),x21114)),f12(x21111,x21111,f12(x21111,f166(x21111,x21111),f216(x21111),x21113),x21114)))
% 19.04/19.07 [2112]~P24(x21121)+~P21(f12(x21121,a2,f12(x21121,f166(x21121,a2),f200(x21121),f183(x21121)),x21124))+P21(f12(x21121,a2,f12(x21121,f166(x21121,a2),f199(x21121),x21122),x21123))+~P21(f12(x21121,a2,f12(x21121,f166(x21121,a2),f199(x21121),f12(x21121,x21121,f12(x21121,f166(x21121,x21121),f216(x21121),x21124),x21122)),f12(x21121,x21121,f12(x21121,f166(x21121,x21121),f216(x21121),x21124),x21123)))
% 19.04/19.07 [2113]~P19(x21131)+~P21(f12(x21131,a2,f12(x21131,f166(x21131,a2),f200(x21131),f183(x21131)),x21134))+P21(f12(x21131,a2,f12(x21131,f166(x21131,a2),f199(x21131),x21132),x21133))+~P21(f12(x21131,a2,f12(x21131,f166(x21131,a2),f199(x21131),f12(x21131,x21131,f12(x21131,f166(x21131,x21131),f216(x21131),x21134),x21132)),f12(x21131,x21131,f12(x21131,f166(x21131,x21131),f216(x21131),x21134),x21133)))
% 19.04/19.07 [2114]~P19(x21141)+~P21(f12(x21141,a2,f12(x21141,f166(x21141,a2),f200(x21141),f183(x21141)),x21144))+P21(f12(x21141,a2,f12(x21141,f166(x21141,a2),f199(x21141),x21142),x21143))+~P21(f12(x21141,a2,f12(x21141,f166(x21141,a2),f199(x21141),f12(x21141,x21141,f12(x21141,f166(x21141,x21141),f216(x21141),x21142),x21144)),f12(x21141,x21141,f12(x21141,f166(x21141,x21141),f216(x21141),x21143),x21144)))
% 19.04/19.07 [2157]~P40(x21571)+P21(f12(x21571,a2,f12(x21571,f166(x21571,a2),f200(x21571),f12(a185,x21571,x21572,x21573)),f12(a185,x21571,x21572,x21574)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x21573),x21574))+~P21(f12(x21571,a2,f12(x21571,f166(x21571,a2),f200(x21571),f12(a185,x21571,x21572,f116(x21571,x21573,x21574,x21572))),f12(a185,x21571,x21572,f12(a185,a185,a204,f116(x21571,x21573,x21574,x21572)))))
% 19.04/19.07 [2158]~P40(x21581)+P21(f12(x21581,a2,f12(x21581,f166(x21581,a2),f200(x21581),f12(a185,x21581,x21582,x21583)),f12(a185,x21581,x21582,x21584)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x21583),x21584))+~P21(f12(x21581,a2,f12(x21581,f166(x21581,a2),f200(x21581),f12(a185,x21581,x21582,f117(x21581,x21583,x21584,x21582))),f12(a185,x21581,x21582,f12(a185,a185,a204,f117(x21581,x21583,x21584,x21582)))))
% 19.04/19.07 [2159]~P40(x21591)+P21(f12(x21591,a2,f12(x21591,f166(x21591,a2),f199(x21591),f12(a185,x21591,x21592,x21593)),f12(a185,x21591,x21592,x21594)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x21593),x21594))+~P21(f12(x21591,a2,f12(x21591,f166(x21591,a2),f199(x21591),f12(a185,x21591,x21592,f88(x21591,x21593,x21594,x21592))),f12(a185,x21591,x21592,f12(a185,a185,a204,f88(x21591,x21593,x21594,x21592)))))
% 19.04/19.07 [2164]~P40(x21643)+~P21(f12(x21643,a2,f12(x21643,f166(x21643,a2),f200(x21643),f12(a185,x21643,x21644,x21641)),f12(a185,x21643,x21644,x21642)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x21641),x21642))+~P21(f12(x21643,a2,f12(x21643,f166(x21643,a2),f200(x21643),f12(a185,x21643,x21644,f116(x21643,x21641,x21642,x21644))),f12(a185,x21643,x21644,f12(a185,a185,a204,f116(x21643,x21641,x21642,x21644)))))
% 19.04/19.07 [2124]~P21(f12(f166(x21241,a2),a2,f175(x21241),x21242))+E(f12(f166(x21241,a2),a185,f167(x21241),f12(f166(x21241,a2),f166(x21241,a2),f12(f166(x21241,a2),f166(f166(x21241,a2),f166(x21241,a2)),f190(f166(x21241,a2)),x21242),f12(f166(x21241,a2),f166(x21241,a2),f12(x21241,f166(f166(x21241,a2),f166(x21241,a2)),f182(x21241),x21243),x21244))),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f12(f166(x21241,a2),a185,f167(x21241),f12(f166(x21241,a2),f166(x21241,a2),f12(f166(x21241,a2),f166(f166(x21241,a2),f166(x21241,a2)),f190(f166(x21241,a2)),x21242),x21244))),f195(a185)))+~P21(f12(f166(x21241,a2),a2,f12(x21241,f166(f166(x21241,a2),a2),f189(x21241),x21243),x21242))+P21(f12(f166(x21241,a2),a2,f12(x21241,f166(f166(x21241,a2),a2),f189(x21241),x21243),x21244))
% 19.04/19.07 [2189]~P21(f12(f166(x21891,a2),a2,f12(x21891,f166(f166(x21891,a2),a2),f189(x21891),x21892),x21894))+P21(f12(f166(x21891,a2),a2,f12(x21891,f166(f166(x21891,a2),a2),f189(x21891),x21892),x21893))+~P21(f12(f166(x21891,a2),a2,f12(f166(x21891,a2),f166(f166(x21891,a2),a2),f200(f166(x21891,a2)),x21894),f12(f166(x21891,a2),f166(x21891,a2),f12(x21891,f166(f166(x21891,a2),f166(x21891,a2)),f182(x21891),x21892),x21893)))+P21(f12(f166(x21891,a2),a2,f12(f166(x21891,a2),f166(f166(x21891,a2),a2),f200(f166(x21891,a2)),f12(f166(x21891,a2),f166(x21891,a2),f12(f166(x21891,a2),f166(f166(x21891,a2),f166(x21891,a2)),f190(f166(x21891,a2)),x21894),f12(f166(x21891,a2),f166(x21891,a2),f12(x21891,f166(f166(x21891,a2),f166(x21891,a2)),f182(x21891),x21892),f6(f166(x21891,a2))))),x21893))
% 19.04/19.07 [2204]~P21(f12(f166(x22041,a2),a2,f12(x22041,f166(f166(x22041,a2),a2),f189(x22041),x22042),x22044))+P21(f12(f166(x22041,a2),a2,f12(x22041,f166(f166(x22041,a2),a2),f189(x22041),x22042),x22043))+P21(f12(f166(x22041,a2),a2,f12(f166(x22041,a2),f166(f166(x22041,a2),a2),f200(f166(x22041,a2)),x22044),f12(f166(x22041,a2),f166(x22041,a2),f12(x22041,f166(f166(x22041,a2),f166(x22041,a2)),f182(x22041),x22042),x22043)))+~P21(f12(f166(x22041,a2),a2,f12(f166(x22041,a2),f166(f166(x22041,a2),a2),f200(f166(x22041,a2)),f12(f166(x22041,a2),f166(x22041,a2),f12(f166(x22041,a2),f166(f166(x22041,a2),f166(x22041,a2)),f190(f166(x22041,a2)),x22044),f12(f166(x22041,a2),f166(x22041,a2),f12(x22041,f166(f166(x22041,a2),f166(x22041,a2)),f182(x22041),x22042),f6(f166(x22041,a2))))),x22043))
% 19.04/19.07 [2205]P21(f12(f166(x22051,a2),a2,f12(x22051,f166(f166(x22051,a2),a2),f189(x22051),x22052),x22053))+~P21(f12(f166(x22051,a2),a2,f12(f166(x22051,a2),f166(f166(x22051,a2),a2),f199(f166(x22051,a2)),x22054),x22053))+P21(f12(f166(x22051,a2),a2,f12(f166(x22051,a2),f166(f166(x22051,a2),a2),f200(f166(x22051,a2)),x22054),f12(f166(x22051,a2),f166(x22051,a2),f12(x22051,f166(f166(x22051,a2),f166(x22051,a2)),f182(x22051),x22052),x22053)))+~P21(f12(f166(x22051,a2),a2,f12(f166(x22051,a2),f166(f166(x22051,a2),a2),f200(f166(x22051,a2)),f12(f166(x22051,a2),f166(x22051,a2),f12(f166(x22051,a2),f166(f166(x22051,a2),f166(x22051,a2)),f190(f166(x22051,a2)),x22054),f12(f166(x22051,a2),f166(x22051,a2),f12(x22051,f166(f166(x22051,a2),f166(x22051,a2)),f182(x22051),x22052),f6(f166(x22051,a2))))),x22053))
% 19.04/19.07 [2207]~P21(f12(f166(x22071,a2),a2,f12(x22071,f166(f166(x22071,a2),a2),f189(x22071),x22073),x22072))+~P21(f12(f166(x22071,a2),a2,f12(f166(x22071,a2),f166(f166(x22071,a2),a2),f200(f166(x22071,a2)),x22072),x22074))+P21(f12(f166(x22071,a2),a2,f12(f166(x22071,a2),f166(f166(x22071,a2),a2),f200(f166(x22071,a2)),x22072),f12(f166(x22071,a2),f166(x22071,a2),f12(x22071,f166(f166(x22071,a2),f166(x22071,a2)),f182(x22071),x22073),x22074)))+~P21(f12(f166(x22071,a2),a2,f12(f166(x22071,a2),f166(f166(x22071,a2),a2),f200(f166(x22071,a2)),f12(f166(x22071,a2),f166(x22071,a2),f12(f166(x22071,a2),f166(f166(x22071,a2),f166(x22071,a2)),f190(f166(x22071,a2)),x22072),f12(f166(x22071,a2),f166(x22071,a2),f12(x22071,f166(f166(x22071,a2),f166(x22071,a2)),f182(x22071),x22073),f6(f166(x22071,a2))))),x22074))
% 19.04/19.07 [2211]~P21(f12(f166(x22111,a2),a2,f12(f166(x22111,a2),f166(f166(x22111,a2),a2),f199(f166(x22111,a2)),x22112),x22114))+~P21(f12(f166(x22111,a2),a2,f12(f166(x22111,a2),f166(f166(x22111,a2),a2),f200(f166(x22111,a2)),x22112),x22114))+P21(f12(f166(x22111,a2),a2,f12(f166(x22111,a2),f166(f166(x22111,a2),a2),f200(f166(x22111,a2)),x22112),f12(f166(x22111,a2),f166(x22111,a2),f12(x22111,f166(f166(x22111,a2),f166(x22111,a2)),f182(x22111),x22113),x22114)))+~P21(f12(f166(x22111,a2),a2,f12(f166(x22111,a2),f166(f166(x22111,a2),a2),f200(f166(x22111,a2)),f12(f166(x22111,a2),f166(x22111,a2),f12(f166(x22111,a2),f166(f166(x22111,a2),f166(x22111,a2)),f190(f166(x22111,a2)),x22112),f12(f166(x22111,a2),f166(x22111,a2),f12(x22111,f166(f166(x22111,a2),f166(x22111,a2)),f182(x22111),x22113),f6(f166(x22111,a2))))),x22114))
% 19.04/19.07 [1345]~P5(x13451)+E(f12(x13451,x13451,f7(x13451),x13452),f12(x13451,x13451,f7(x13451),x13453))+~E(f12(x13451,x13451,f7(x13451),x13454),f12(x13451,x13451,f7(x13451),x13455))+~E(f12(x13451,x13451,f12(x13451,f166(x13451,x13451),f190(x13451),x13454),x13455),f12(x13451,x13451,f12(x13451,f166(x13451,x13451),f190(x13451),x13452),x13453))
% 19.04/19.07 [1600]~P44(x16001)+~E(f12(x16001,x16001,f12(x16001,f166(x16001,x16001),f190(x16001),x16004),x16005),f12(x16001,x16001,f12(x16001,f166(x16001,x16001),f190(x16001),x16002),x16003))+~P21(f12(x16001,a2,f12(x16001,f166(x16001,a2),f200(x16001),x16004),x16005))+P21(f12(x16001,a2,f12(x16001,f166(x16001,a2),f200(x16001),x16002),x16003))
% 19.04/19.07 [1602]~P44(x16021)+~E(f12(x16021,x16021,f12(x16021,f166(x16021,x16021),f190(x16021),x16024),x16025),f12(x16021,x16021,f12(x16021,f166(x16021,x16021),f190(x16021),x16022),x16023))+~P21(f12(x16021,a2,f12(x16021,f166(x16021,a2),f199(x16021),x16024),x16025))+P21(f12(x16021,a2,f12(x16021,f166(x16021,a2),f199(x16021),x16022),x16023))
% 19.04/19.07 [1762]E(f12(x17621,x17621,f12(x17621,f166(x17621,x17621),x17622,x17623),f12(f166(x17621,a2),x17621,x17624,x17625)),f12(f166(x17621,a2),x17621,x17624,x17625))+~P21(f12(f166(x17621,a2),a2,f175(x17621),x17625))+~P21(f12(f166(f166(x17621,a2),x17621),a2,f12(f166(x17621,f166(x17621,x17621)),f166(f166(f166(x17621,a2),x17621),a2),f172(x17621),x17622),x17624))+~P21(f12(f166(x17621,a2),a2,f12(x17621,f166(f166(x17621,a2),a2),f189(x17621),x17623),x17625))
% 19.04/19.07 [1742]E(f12(f166(x17421,a2),f166(x17421,a2),f7(f166(x17421,a2)),x17422),f6(f166(x17421,a2)))+E(f12(f166(x17421,a2),x17421,x17423,f12(f166(x17421,a2),f166(x17421,a2),f12(x17421,f166(f166(x17421,a2),f166(x17421,a2)),f182(x17421),x17424),x17422)),f12(x17421,x17421,f12(x17421,f166(x17421,x17421),x17425,x17424),f12(f166(x17421,a2),x17421,x17423,x17422)))+~P21(f12(f166(x17421,a2),a2,f175(x17421),x17422))+~P21(f12(f166(f166(x17421,a2),x17421),a2,f12(f166(x17421,f166(x17421,x17421)),f166(f166(f166(x17421,a2),x17421),a2),f172(x17421),x17425),x17423))
% 19.04/19.07 [1891]~E(f12(f166(x18911,a2),f166(x18911,a2),f12(f166(x18911,a2),f166(f166(x18911,a2),f166(x18911,a2)),f190(f166(x18911,a2)),x18914),f12(f166(x18911,a2),f166(x18911,a2),f12(x18911,f166(f166(x18911,a2),f166(x18911,a2)),f182(x18911),x18913),f6(f166(x18911,a2)))),f6(f166(x18911,a2)))+E(f12(f166(x18911,a2),x18911,x18912,f12(f166(x18911,a2),f166(x18911,a2),f12(x18911,f166(f166(x18911,a2),f166(x18911,a2)),f182(x18911),x18913),x18914)),f12(x18911,x18911,f7(x18911),x18913))+~P21(f12(f166(x18911,a2),a2,f175(x18911),x18914))+~P21(f12(f166(f166(x18911,a2),x18911),a2,f12(f166(x18911,f166(x18911,x18911)),f166(f166(f166(x18911,a2),x18911),a2),f177(x18911),x18915),x18912))
% 19.04/19.07 [2007]~P46(x20071)+~P21(f12(x20071,a2,f12(x20071,f166(x20071,a2),f200(x20071),x20072),x20074))+~P21(f12(x20071,a2,f12(x20071,f166(x20071,a2),f200(x20071),x20073),x20075))+P21(f12(x20071,a2,f12(x20071,f166(x20071,a2),f200(x20071),f12(x20071,x20071,f12(x20071,f166(x20071,x20071),f203(x20071),x20072),x20073)),f12(x20071,x20071,f12(x20071,f166(x20071,x20071),f203(x20071),x20074),x20075)))
% 19.04/19.07 [2008]~P46(x20081)+~P21(f12(x20081,a2,f12(x20081,f166(x20081,a2),f199(x20081),x20082),x20084))+~P21(f12(x20081,a2,f12(x20081,f166(x20081,a2),f200(x20081),x20083),x20085))+P21(f12(x20081,a2,f12(x20081,f166(x20081,a2),f200(x20081),f12(x20081,x20081,f12(x20081,f166(x20081,x20081),f203(x20081),x20082),x20083)),f12(x20081,x20081,f12(x20081,f166(x20081,x20081),f203(x20081),x20084),x20085)))
% 19.04/19.07 [2009]~P46(x20091)+~P21(f12(x20091,a2,f12(x20091,f166(x20091,a2),f199(x20091),x20093),x20095))+~P21(f12(x20091,a2,f12(x20091,f166(x20091,a2),f200(x20091),x20092),x20094))+P21(f12(x20091,a2,f12(x20091,f166(x20091,a2),f200(x20091),f12(x20091,x20091,f12(x20091,f166(x20091,x20091),f203(x20091),x20092),x20093)),f12(x20091,x20091,f12(x20091,f166(x20091,x20091),f203(x20091),x20094),x20095)))
% 19.04/19.07 [2010]~P49(x20101)+~P21(f12(x20101,a2,f12(x20101,f166(x20101,a2),f199(x20101),x20102),x20104))+~P21(f12(x20101,a2,f12(x20101,f166(x20101,a2),f199(x20101),x20103),x20105))+P21(f12(x20101,a2,f12(x20101,f166(x20101,a2),f199(x20101),f12(x20101,x20101,f12(x20101,f166(x20101,x20101),f203(x20101),x20102),x20103)),f12(x20101,x20101,f12(x20101,f166(x20101,x20101),f203(x20101),x20104),x20105)))
% 19.04/19.07 [2055]~P55(x20551)+E(f12(x20551,x20551,f7(x20551),x20552),f12(x20551,x20551,f7(x20551),x20553))+E(f12(x20551,x20551,f7(x20551),x20554),f12(x20551,x20551,f7(x20551),x20555))+~E(f12(x20551,x20551,f12(x20551,f166(x20551,x20551),f203(x20551),f12(x20551,x20551,f12(x20551,f166(x20551,x20551),f216(x20551),x20554),x20552)),f12(x20551,x20551,f12(x20551,f166(x20551,x20551),f216(x20551),x20555),x20553)),f12(x20551,x20551,f12(x20551,f166(x20551,x20551),f203(x20551),f12(x20551,x20551,f12(x20551,f166(x20551,x20551),f216(x20551),x20554),x20553)),f12(x20551,x20551,f12(x20551,f166(x20551,x20551),f216(x20551),x20555),x20552)))
% 19.04/19.07 [2056]~P55(x20561)+E(f12(x20561,x20561,f7(x20561),x20562),f12(x20561,x20561,f7(x20561),x20563))+E(f12(x20561,x20561,f7(x20561),x20564),f12(x20561,x20561,f7(x20561),x20565))+~E(f12(x20561,x20561,f12(x20561,f166(x20561,x20561),f203(x20561),f12(x20561,x20561,f12(x20561,f166(x20561,x20561),f216(x20561),x20564),x20562)),f12(x20561,x20561,f12(x20561,f166(x20561,x20561),f216(x20561),x20565),x20563)),f12(x20561,x20561,f12(x20561,f166(x20561,x20561),f203(x20561),f12(x20561,x20561,f12(x20561,f166(x20561,x20561),f216(x20561),x20564),x20563)),f12(x20561,x20561,f12(x20561,f166(x20561,x20561),f216(x20561),x20565),x20562)))
% 19.04/19.07 [2169]~P27(x21691)+~P21(f12(x21691,a2,f12(x21691,f166(x21691,a2),f200(x21691),f12(x21691,x21691,f4(x21691),x21692)),x21694))+~P21(f12(x21691,a2,f12(x21691,f166(x21691,a2),f200(x21691),f12(x21691,x21691,f4(x21691),x21693)),x21695))+P21(f12(x21691,a2,f12(x21691,f166(x21691,a2),f200(x21691),f12(x21691,x21691,f12(x21691,f166(x21691,x21691),f216(x21691),f12(x21691,x21691,f4(x21691),x21692)),f12(x21691,x21691,f4(x21691),x21693))),f12(x21691,x21691,f12(x21691,f166(x21691,x21691),f216(x21691),x21694),x21695)))
% 19.04/19.07 [2138]E(f12(f166(x21381,a2),f166(x21381,a2),f12(f166(x21381,a2),f166(f166(x21381,a2),f166(x21381,a2)),f190(f166(x21381,a2)),x21382),f12(f166(x21381,a2),f166(x21381,a2),f12(x21381,f166(f166(x21381,a2),f166(x21381,a2)),f182(x21381),x21383),f6(f166(x21381,a2)))),f6(f166(x21381,a2)))+~P21(f12(f166(x21381,a2),a2,f175(x21381),x21382))+E(f12(x21381,x21381,f12(x21381,f166(x21381,x21381),x21384,x21383),f12(f166(x21381,a2),x21381,x21385,f12(f166(x21381,a2),f166(x21381,a2),f12(f166(x21381,a2),f166(f166(x21381,a2),f166(x21381,a2)),f190(f166(x21381,a2)),x21382),f12(f166(x21381,a2),f166(x21381,a2),f12(x21381,f166(f166(x21381,a2),f166(x21381,a2)),f182(x21381),x21383),f6(f166(x21381,a2)))))),f12(f166(x21381,a2),x21381,x21385,f12(f166(x21381,a2),f166(x21381,a2),f12(x21381,f166(f166(x21381,a2),f166(x21381,a2)),f182(x21381),x21383),x21382)))+~P21(f12(f166(f166(x21381,a2),x21381),a2,f12(f166(x21381,f166(x21381,x21381)),f166(f166(f166(x21381,a2),x21381),a2),f177(x21381),x21384),x21385))
% 19.04/19.07 [2206]~P7(x22062)+~E(f12(x22061,x22062,x22063,f26(x22061,x22062,x22064,x22063,x22066,x22065)),f12(x22061,x22062,x22066,f26(x22061,x22062,x22064,x22063,x22066,x22065)))+~P21(f12(f166(x22061,a2),a2,f175(x22061),x22065))+E(f12(f166(x22061,a2),x22062,f12(x22062,f166(f166(x22061,a2),x22062),f12(f166(x22061,x22062),f166(x22062,f166(f166(x22061,a2),x22062)),f12(f166(x22062,f166(x22062,x22062)),f166(f166(x22061,x22062),f166(x22062,f166(f166(x22061,a2),x22062))),f178(x22062,x22061),f216(x22062)),x22063),x22064),x22065),f12(f166(x22061,a2),x22062,f12(x22062,f166(f166(x22061,a2),x22062),f12(f166(x22061,x22062),f166(x22062,f166(f166(x22061,a2),x22062)),f12(f166(x22062,f166(x22062,x22062)),f166(f166(x22061,x22062),f166(x22062,f166(f166(x22061,a2),x22062))),f178(x22062,x22061),f216(x22062)),x22066),x22064),x22065))
% 19.04/19.07 [2222]~P7(x22222)+~P21(f12(f166(x22221,a2),a2,f175(x22221),x22225))+E(f12(f166(x22221,a2),x22222,f12(x22222,f166(f166(x22221,a2),x22222),f12(f166(x22221,x22222),f166(x22222,f166(f166(x22221,a2),x22222)),f12(f166(x22222,f166(x22222,x22222)),f166(f166(x22221,x22222),f166(x22222,f166(f166(x22221,a2),x22222))),f178(x22222,x22221),f216(x22222)),x22223),x22224),x22225),f12(f166(x22221,a2),x22222,f12(x22222,f166(f166(x22221,a2),x22222),f12(f166(x22221,x22222),f166(x22222,f166(f166(x22221,a2),x22222)),f12(f166(x22222,f166(x22222,x22222)),f166(f166(x22221,x22222),f166(x22222,f166(f166(x22221,a2),x22222))),f178(x22222,x22221),f216(x22222)),x22226),x22224),x22225))+P21(f12(f166(x22221,a2),a2,f12(x22221,f166(f166(x22221,a2),a2),f189(x22221),f26(x22221,x22222,x22224,x22223,x22226,x22225)),x22225))
% 19.04/19.07 [2167]~P7(x21672)+~P21(f12(f166(x21671,a2),a2,f175(x21671),x21676))+E(f12(f166(x21671,a2),x21672,f12(x21672,f166(f166(x21671,a2),x21672),f12(f166(x21671,x21672),f166(x21672,f166(f166(x21671,a2),x21672)),f12(f166(x21672,f166(x21672,x21672)),f166(f166(x21671,x21672),f166(x21672,f166(f166(x21671,a2),x21672))),f178(x21672,x21671),f216(x21672)),x21673),x21674),f12(f166(x21671,a2),f166(x21671,a2),f12(x21671,f166(f166(x21671,a2),f166(x21671,a2)),f182(x21671),x21675),x21676)),f12(x21672,x21672,f12(x21672,f166(x21672,x21672),f216(x21672),f12(x21671,x21672,x21673,x21675)),f12(f166(x21671,a2),x21672,f12(x21672,f166(f166(x21671,a2),x21672),f12(f166(x21671,x21672),f166(x21672,f166(f166(x21671,a2),x21672)),f12(f166(x21672,f166(x21672,x21672)),f166(f166(x21671,x21672),f166(x21672,f166(f166(x21671,a2),x21672))),f178(x21672,x21671),f216(x21672)),x21673),x21674),x21676)))+P21(f12(f166(x21671,a2),a2,f12(x21671,f166(f166(x21671,a2),a2),f189(x21671),x21675),x21676))
% 19.04/19.07 [2246]~E(f12(x22461,x22462,x22466,f97(x22461,x22462,x22464,x22467,x22465,x22466,x22463)),f12(x22462,x22462,f7(x22462),x22465))+E(f12(f166(x22461,a2),x22462,x22463,x22464),f12(x22462,x22462,f7(x22462),x22465))+~P21(f12(f166(x22461,a2),a2,f175(x22461),x22464))+~P21(f12(f166(f166(x22461,a2),x22462),a2,f12(f166(x22461,x22462),f166(f166(f166(x22461,a2),x22462),a2),f12(x22462,f166(f166(x22461,x22462),f166(f166(f166(x22461,a2),x22462),a2)),f12(f166(x22462,f166(x22462,x22462)),f166(x22462,f166(f166(x22461,x22462),f166(f166(f166(x22461,a2),x22462),a2))),f173(x22462,x22461),x22467),x22465),x22466),x22463))
% 19.04/19.07 [2279]E(f12(f166(x22791,a2),x22792,x22793,x22794),f12(x22792,x22792,f7(x22792),x22795))+~P21(f12(f166(x22791,a2),a2,f175(x22791),x22794))+P21(f12(f166(x22791,a2),a2,f12(x22791,f166(f166(x22791,a2),a2),f189(x22791),f97(x22791,x22792,x22794,x22796,x22795,x22797,x22793)),x22794))+~P21(f12(f166(f166(x22791,a2),x22792),a2,f12(f166(x22791,x22792),f166(f166(f166(x22791,a2),x22792),a2),f12(x22792,f166(f166(x22791,x22792),f166(f166(f166(x22791,a2),x22792),a2)),f12(f166(x22792,f166(x22792,x22792)),f166(x22792,f166(f166(x22791,x22792),f166(f166(f166(x22791,a2),x22792),a2))),f173(x22792,x22791),x22796),x22795),x22797),x22793))
% 19.04/19.07 [2194]E(f12(x21941,x21941,f12(x21941,f166(x21941,x21941),x21942,f12(x21943,x21941,x21944,x21945)),f12(f166(x21943,a2),x21941,x21946,x21947)),f12(f166(x21943,a2),x21941,x21946,x21947))+~P21(f12(f166(x21943,a2),a2,f175(x21943),x21947))+~P21(f12(f166(x21943,a2),a2,f12(x21943,f166(f166(x21943,a2),a2),f189(x21943),x21945),x21947))+~P21(f12(f166(f166(x21943,a2),x21941),a2,f12(f166(x21943,x21941),f166(f166(f166(x21943,a2),x21941),a2),f12(x21941,f166(f166(x21943,x21941),f166(f166(f166(x21943,a2),x21941),a2)),f12(f166(x21941,f166(x21941,x21941)),f166(x21941,f166(f166(x21943,x21941),f166(f166(f166(x21943,a2),x21941),a2))),f174(x21941,x21943),x21942),x21948),x21944),x21946))
% 19.04/19.07 [2195]E(f12(x21951,x21951,f12(x21951,f166(x21951,x21951),x21952,f12(f166(x21953,a2),x21951,x21954,x21955)),f12(f166(x21953,a2),x21951,x21954,x21956)),f12(f166(x21953,a2),x21951,x21954,x21956))+~P21(f12(f166(x21953,a2),a2,f175(x21953),x21956))+~P21(f12(f166(x21953,a2),a2,f12(f166(x21953,a2),f166(f166(x21953,a2),a2),f199(f166(x21953,a2)),x21955),x21956))+~P21(f12(f166(f166(x21953,a2),x21951),a2,f12(f166(x21953,x21951),f166(f166(f166(x21953,a2),x21951),a2),f12(x21951,f166(f166(x21953,x21951),f166(f166(f166(x21953,a2),x21951),a2)),f12(f166(x21951,f166(x21951,x21951)),f166(x21951,f166(f166(x21953,x21951),f166(f166(f166(x21953,a2),x21951),a2))),f174(x21951,x21953),x21952),x21957),x21958),x21954))
% 19.04/19.07 [2196]E(f12(f166(x21961,a2),x21962,x21963,f12(f166(x21961,a2),f166(x21961,a2),f12(x21961,f166(f166(x21961,a2),f166(x21961,a2)),f182(x21961),x21964),x21965)),f12(x21962,x21962,f12(x21962,f166(x21962,x21962),x21966,f12(x21961,x21962,x21967,x21964)),f12(f166(x21961,a2),x21962,x21963,x21965)))+~P21(f12(f166(x21961,a2),a2,f175(x21961),x21965))+P21(f12(f166(x21961,a2),a2,f12(x21961,f166(f166(x21961,a2),a2),f189(x21961),x21964),x21965))+~P21(f12(f166(f166(x21961,a2),x21962),a2,f12(f166(x21961,x21962),f166(f166(f166(x21961,a2),x21962),a2),f12(x21962,f166(f166(x21961,x21962),f166(f166(f166(x21961,a2),x21962),a2)),f12(f166(x21962,f166(x21962,x21962)),f166(x21962,f166(f166(x21961,x21962),f166(f166(f166(x21961,a2),x21962),a2))),f173(x21962,x21961),x21966),x21968),x21967),x21963))
% 19.04/19.07 [2217]~P21(f12(f166(x22173,a2),a2,f175(x22173),x22177))+E(f12(x22171,x22171,f12(x22171,f166(x22171,x22171),x22172,f12(x22173,x22171,x22174,x22175)),f12(f166(x22173,a2),x22171,x22176,f12(f166(x22173,a2),f166(x22173,a2),f12(f166(x22173,a2),f166(f166(x22173,a2),f166(x22173,a2)),f190(f166(x22173,a2)),x22177),f12(f166(x22173,a2),f166(x22173,a2),f12(x22173,f166(f166(x22173,a2),f166(x22173,a2)),f182(x22173),x22175),f6(f166(x22173,a2)))))),f12(f166(x22173,a2),x22171,x22176,x22177))+~P21(f12(f166(x22173,a2),a2,f12(x22173,f166(f166(x22173,a2),a2),f189(x22173),x22175),x22177))+~P21(f12(f166(f166(x22173,a2),x22171),a2,f12(f166(x22173,x22171),f166(f166(f166(x22173,a2),x22171),a2),f12(x22171,f166(f166(x22173,x22171),f166(f166(f166(x22173,a2),x22171),a2)),f12(f166(x22171,f166(x22171,x22171)),f166(x22171,f166(f166(x22173,x22171),f166(f166(f166(x22173,a2),x22171),a2))),f173(x22171,x22173),x22172),x22178),x22174),x22176))
% 19.04/19.07 [1596]~P47(x15961)+E(f12(x15961,x15961,f7(x15961),x15962),f183(x15961))+~E(f12(x15961,x15961,f12(x15961,f166(x15961,x15961),f203(x15961),x15963),x15962),f183(x15961))+~P21(f12(x15961,a2,f12(x15961,f166(x15961,a2),f199(x15961),f183(x15961)),x15962))+~P21(f12(x15961,a2,f12(x15961,f166(x15961,a2),f199(x15961),f183(x15961)),x15963))
% 19.04/19.07 [1597]~P47(x15971)+E(f12(x15971,x15971,f7(x15971),x15972),f183(x15971))+~E(f12(x15971,x15971,f12(x15971,f166(x15971,x15971),f203(x15971),x15972),x15973),f183(x15971))+~P21(f12(x15971,a2,f12(x15971,f166(x15971,a2),f199(x15971),f183(x15971)),x15972))+~P21(f12(x15971,a2,f12(x15971,f166(x15971,a2),f199(x15971),f183(x15971)),x15973))
% 19.04/19.07 [1856]~E(f12(f166(x18561,a2),f166(x18561,a2),f7(f166(x18561,a2)),f93(x18561,x18563,x18562)),f6(f166(x18561,a2)))+E(f12(f166(x18561,a2),f166(x18561,a2),f7(f166(x18561,a2)),x18562),f6(f166(x18561,a2)))+~P21(f12(f166(x18561,a2),a2,f175(x18561),x18562))+P21(f12(f166(x18561,a2),a2,x18563,x18562))+~P21(f12(f166(x18561,a2),a2,x18563,f12(f166(x18561,a2),f166(x18561,a2),f12(x18561,f166(f166(x18561,a2),f166(x18561,a2)),f182(x18561),f94(x18561,x18563,x18562)),f6(f166(x18561,a2)))))
% 19.04/19.07 [1857]E(f12(f166(x18571,a2),f166(x18571,a2),f7(f166(x18571,a2)),x18572),f6(f166(x18571,a2)))+~P21(f12(f166(x18571,a2),a2,f175(x18571),x18572))+P21(f12(f166(x18571,a2),a2,x18573,f93(x18571,x18573,x18572)))+P21(f12(f166(x18571,a2),a2,x18573,x18572))+~P21(f12(f166(x18571,a2),a2,x18573,f12(f166(x18571,a2),f166(x18571,a2),f12(x18571,f166(f166(x18571,a2),f166(x18571,a2)),f182(x18571),f94(x18571,x18573,x18572)),f6(f166(x18571,a2)))))
% 19.04/19.07 [1858]E(f12(f166(x18581,a2),f166(x18581,a2),f7(f166(x18581,a2)),x18582),f6(f166(x18581,a2)))+~P21(f12(f166(x18581,a2),a2,f175(x18581),x18582))+P21(f12(f166(x18581,a2),a2,f175(x18581),f93(x18581,x18583,x18582)))+P21(f12(f166(x18581,a2),a2,x18583,x18582))+~P21(f12(f166(x18581,a2),a2,x18583,f12(f166(x18581,a2),f166(x18581,a2),f12(x18581,f166(f166(x18581,a2),f166(x18581,a2)),f182(x18581),f94(x18581,x18583,x18582)),f6(f166(x18581,a2)))))
% 19.04/19.07 [1970]E(f12(f166(x19701,a2),f166(x19701,a2),f7(f166(x19701,a2)),x19702),f6(f166(x19701,a2)))+~P21(f12(f166(x19701,a2),a2,f175(x19701),x19702))+P21(f12(f166(x19701,a2),a2,x19703,x19702))+~P21(f12(f166(x19701,a2),a2,f12(x19701,f166(f166(x19701,a2),a2),f189(x19701),f98(x19701,x19703,x19702)),f93(x19701,x19703,x19702)))+~P21(f12(f166(x19701,a2),a2,x19703,f12(f166(x19701,a2),f166(x19701,a2),f12(x19701,f166(f166(x19701,a2),f166(x19701,a2)),f182(x19701),f94(x19701,x19703,x19702)),f6(f166(x19701,a2)))))
% 19.04/19.07 [2078]E(f12(f166(x20781,a2),f166(x20781,a2),f7(f166(x20781,a2)),x20782),f6(f166(x20781,a2)))+~P21(f12(f166(x20781,a2),a2,f175(x20781),x20782))+P21(f12(f166(x20781,a2),a2,x20783,x20782))+~P21(f12(f166(x20781,a2),a2,x20783,f12(f166(x20781,a2),f166(x20781,a2),f12(x20781,f166(f166(x20781,a2),f166(x20781,a2)),f182(x20781),f98(x20781,x20783,x20782)),f93(x20781,x20783,x20782))))+~P21(f12(f166(x20781,a2),a2,x20783,f12(f166(x20781,a2),f166(x20781,a2),f12(x20781,f166(f166(x20781,a2),f166(x20781,a2)),f182(x20781),f94(x20781,x20783,x20782)),f6(f166(x20781,a2)))))
% 19.04/19.07 [1981]~P27(x19811)+~P21(f12(x19811,a2,f12(x19811,f166(x19811,a2),f199(x19811),x19812),f195(x19811)))+~P21(f12(x19811,a2,f12(x19811,f166(x19811,a2),f199(x19811),f183(x19811)),x19813))+~P21(f12(x19811,a2,f12(x19811,f166(x19811,a2),f199(x19811),f183(x19811)),x19812))+P21(f12(x19811,a2,f12(x19811,f166(x19811,a2),f199(x19811),f12(x19811,x19811,f12(x19811,f166(x19811,x19811),f216(x19811),x19812),x19813)),x19813))
% 19.04/19.07 [1982]~P27(x19821)+~P21(f12(x19821,a2,f12(x19821,f166(x19821,a2),f199(x19821),x19823),f195(x19821)))+~P21(f12(x19821,a2,f12(x19821,f166(x19821,a2),f199(x19821),f183(x19821)),x19822))+~P21(f12(x19821,a2,f12(x19821,f166(x19821,a2),f199(x19821),f183(x19821)),x19823))+P21(f12(x19821,a2,f12(x19821,f166(x19821,a2),f199(x19821),f12(x19821,x19821,f12(x19821,f166(x19821,x19821),f216(x19821),x19822),x19823)),x19822))
% 19.04/19.07 [1978]E(f12(a185,a1,x19781,f72(x19782,x19781,x19783,x19784)),x19782)+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x19784),f73(x19782,x19781,x19783,x19784)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x19782),f12(a185,a1,x19781,x19783)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x19784),x19783))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x19781,x19784)),x19782))
% 19.04/19.07 [2005]E(f12(a185,a1,x20051,f72(x20052,x20051,x20053,x20054)),x20052)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x20052),f12(a185,a1,x20051,x20053)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f73(x20052,x20051,x20053,x20054)),x20053))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20054),x20053))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x20051,x20054)),x20052))
% 19.04/19.07 [2036]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20361),f72(x20362,x20363,x20364,x20361)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20361),f73(x20362,x20363,x20364,x20361)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x20362),f12(a185,a1,x20363,x20364)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20361),x20364))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x20363,x20361)),x20362))
% 19.04/19.07 [2043]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20431),f73(x20432,x20433,x20434,x20431)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x20432),f12(a185,a1,x20433,x20434)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f72(x20432,x20433,x20434,x20431)),x20434))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20431),x20434))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x20433,x20431)),x20432))
% 19.04/19.07 [2044]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x20441),f72(x20442,x20443,x20444,x20441)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x20442),f12(a185,a1,x20443,x20444)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f73(x20442,x20443,x20444,x20441)),x20444))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20441),x20444))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x20443,x20441)),x20442))
% 19.04/19.07 [2064]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x20641),f12(a185,a1,x20642,x20643)))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f72(x20641,x20642,x20643,x20644)),x20643))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x20644),x20643))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f73(x20641,x20642,x20643,x20644)),x20643))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x20642,x20644)),x20641))
% 19.04/19.07 [2280]E(f12(a185,a1,x22801,f72(x22802,x22801,x22803,x22804)),x22802)+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22802),f12(a185,a1,x22801,x22803)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,x22801,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f73(x22802,x22801,x22803,x22804)),f195(a185)))),f12(a185,a1,x22801,f73(x22802,x22801,x22803,x22804))))),f195(a1)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x22804),x22803))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x22801,x22804)),x22802))
% 19.04/19.07 [2281]P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x22811),f72(x22812,x22813,x22814,x22811)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22812),f12(a185,a1,x22813,x22814)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,x22813,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f73(x22812,x22813,x22814,x22811)),f195(a185)))),f12(a185,a1,x22813,f73(x22812,x22813,x22814,x22811))))),f195(a1)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x22811),x22814))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x22813,x22811)),x22812))
% 19.04/19.07 [2282]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22821),f12(a185,a1,x22822,x22823)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f4(a1),f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f12(a185,a1,x22822,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),f73(x22821,x22822,x22823,x22824)),f195(a185)))),f12(a185,a1,x22822,f73(x22821,x22822,x22823,x22824))))),f195(a1)))+~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x22824),x22823))+P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f72(x22821,x22822,x22823,x22824)),x22823))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a185,a1,x22822,x22824)),x22821))
% 19.04/19.07 [1658]~P21(f12(f166(x16581,a2),a2,f175(x16581),x16583))+P21(f12(f166(x16581,a2),a2,x16582,f83(x16581,x16582,x16584,x16583)))+P21(f12(f166(x16581,a2),a2,x16582,x16583))+~P21(f12(f166(x16581,a2),a2,x16582,f6(f166(x16581,a2))))+~P21(f12(f166(x16581,a2),a2,f12(f166(x16581,a2),f166(f166(x16581,a2),a2),f199(f166(x16581,a2)),x16583),x16584))
% 19.04/19.07 [1659]~P21(f12(f166(x16591,a2),a2,f175(x16591),x16593))+P21(f12(f166(x16591,a2),a2,f175(x16591),f83(x16591,x16592,x16594,x16593)))+P21(f12(f166(x16591,a2),a2,x16592,x16593))+~P21(f12(f166(x16591,a2),a2,x16592,f6(f166(x16591,a2))))+~P21(f12(f166(x16591,a2),a2,f12(f166(x16591,a2),f166(f166(x16591,a2),a2),f199(f166(x16591,a2)),x16593),x16594))
% 19.04/19.07 [1763]~P21(f12(f166(x17631,a2),a2,f175(x17631),x17633))+P21(f12(f166(x17631,a2),a2,x17632,x17633))+~P21(f12(f166(x17631,a2),a2,x17632,f6(f166(x17631,a2))))+P21(f12(f166(x17631,a2),a2,f12(x17631,f166(f166(x17631,a2),a2),f189(x17631),f84(x17631,x17632,x17634,x17633)),x17634))+~P21(f12(f166(x17631,a2),a2,f12(f166(x17631,a2),f166(f166(x17631,a2),a2),f199(f166(x17631,a2)),x17633),x17634))
% 19.04/19.07 [1913]~P21(f12(f166(x19131,a2),a2,f12(x19131,f166(f166(x19131,a2),a2),f189(x19131),f84(x19131,x19132,x19134,x19133)),f83(x19131,x19132,x19134,x19133)))+~P21(f12(f166(x19131,a2),a2,f175(x19131),x19133))+P21(f12(f166(x19131,a2),a2,x19132,x19133))+~P21(f12(f166(x19131,a2),a2,x19132,f6(f166(x19131,a2))))+~P21(f12(f166(x19131,a2),a2,f12(f166(x19131,a2),f166(f166(x19131,a2),a2),f199(f166(x19131,a2)),x19133),x19134))
% 19.04/19.07 [2116]~P21(f12(f166(x21161,a2),a2,f175(x21161),x21163))+P21(f12(f166(x21161,a2),a2,x21162,x21163))+~P21(f12(f166(x21161,a2),a2,x21162,f12(f166(x21161,a2),f166(x21161,a2),f12(x21161,f166(f166(x21161,a2),f166(x21161,a2)),f182(x21161),f84(x21161,x21162,x21164,x21163)),f83(x21161,x21162,x21164,x21163))))+~P21(f12(f166(x21161,a2),a2,x21162,f6(f166(x21161,a2))))+~P21(f12(f166(x21161,a2),a2,f12(f166(x21161,a2),f166(f166(x21161,a2),a2),f199(f166(x21161,a2)),x21163),x21164))
% 19.04/19.07 [2011]~P21(f12(a1,a2,x20111,x20114))+P21(f12(a1,a2,x20111,f29(x20112,x20111,x20113)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x20113))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x20112))+P21(f12(a1,a2,x20111,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x20114),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x20112),x20113))))
% 19.04/19.07 [2012]~P21(f12(a1,a2,x20121,x20124))+P21(f12(a1,a2,x20121,f31(x20122,x20121,x20123)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x20123))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x20122))+P21(f12(a1,a2,x20121,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x20124),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x20122),x20123))))
% 19.04/19.07 [2119]~P21(f12(a1,a2,x21191,x21192))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21194))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x21193))+~P21(f12(a1,a2,x21191,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f29(x21193,x21191,x21194)),x21194)))+P21(f12(a1,a2,x21191,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x21192),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x21193),x21194))))
% 19.04/19.07 [2120]~P21(f12(a1,a2,x21201,x21202))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21204))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x21203))+~P21(f12(a1,a2,x21201,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f31(x21203,x21201,x21204)),x21204)))+P21(f12(a1,a2,x21201,f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),x21202),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x21203),x21204))))
% 19.04/19.07 [2228]E(f12(f166(x22281,a2),f166(x22281,a2),f7(f166(x22281,a2)),x22282),f6(f166(x22281,a2)))+~P21(f12(f166(x22281,a2),a2,f175(x22281),x22282))+~P21(f12(f166(f166(x22281,a2),x22281),a2,f12(f166(x22281,f166(x22281,x22281)),f166(f166(f166(x22281,a2),x22281),a2),f177(x22281),x22284),x22283))+P21(f12(f166(x22281,a2),a2,f12(x22281,f166(f166(x22281,a2),a2),f189(x22281),f12(f166(x22281,a2),x22281,x22283,x22282)),x22282))+~P21(f12(f166(x22281,a2),a2,f12(x22281,f166(f166(x22281,a2),a2),f189(x22281),f12(x22281,x22281,f12(x22281,f166(x22281,x22281),x22284,f95(x22281,x22282,x22284,x22283)),f96(x22281,x22282,x22284,x22283))),f12(f166(x22281,a2),f166(x22281,a2),f12(x22281,f166(f166(x22281,a2),f166(x22281,a2)),f182(x22281),f95(x22281,x22282,x22284,x22283)),f12(f166(x22281,a2),f166(x22281,a2),f12(x22281,f166(f166(x22281,a2),f166(x22281,a2)),f182(x22281),f96(x22281,x22282,x22284,x22283)),f6(f166(x22281,a2))))))
% 19.04/19.07 [1459]E(x14591,f183(a185))+~E(f12(f166(x14592,a2),a185,f167(x14592),x14595),x14591)+E(f12(f166(x14592,a2),a185,f167(x14592),x14593),f12(a185,a185,a204,x14591))+~E(f12(f166(x14592,a2),f166(x14592,a2),f7(f166(x14592,a2)),x14593),f12(f166(x14592,a2),f166(x14592,a2),f12(x14592,f166(f166(x14592,a2),f166(x14592,a2)),f182(x14592),x14594),x14595))+P21(f12(f166(x14592,a2),a2,f12(x14592,f166(f166(x14592,a2),a2),f189(x14592),x14594),x14595))
% 19.04/19.07 [1513]~E(f12(f166(x15131,a2),a185,f167(x15131),x15135),x15133)+E(f12(f166(x15131,a2),a185,f167(x15131),x15132),f12(a185,a185,a204,x15133))+~E(f12(f166(x15131,a2),f166(x15131,a2),f7(f166(x15131,a2)),x15132),f12(f166(x15131,a2),f166(x15131,a2),f12(x15131,f166(f166(x15131,a2),f166(x15131,a2)),f182(x15131),x15134),x15135))+~E(f12(f166(x15131,a2),f166(x15131,a2),f7(f166(x15131,a2)),x15135),f6(f166(x15131,a2)))+P21(f12(f166(x15131,a2),a2,f12(x15131,f166(f166(x15131,a2),a2),f189(x15131),x15134),x15135))
% 19.04/19.07 [1835]E(f12(f166(x18351,a2),f166(x18351,a2),f7(f166(x18351,a2)),x18352),f6(f166(x18351,a2)))+E(f12(f166(x18351,a2),x18351,x18353,f12(f166(x18351,a2),f166(x18351,a2),f12(x18351,f166(f166(x18351,a2),f166(x18351,a2)),f182(x18351),x18354),x18352)),f12(x18351,x18351,f12(x18351,f166(x18351,x18351),x18355,x18354),f12(f166(x18351,a2),x18351,x18353,x18352)))+~P21(f12(f166(x18351,a2),a2,f175(x18351),x18352))+~P21(f12(f166(f166(x18351,a2),x18351),a2,f12(f166(x18351,f166(x18351,x18351)),f166(f166(f166(x18351,a2),x18351),a2),f177(x18351),x18355),x18353))+P21(f12(f166(x18351,a2),a2,f12(x18351,f166(f166(x18351,a2),a2),f189(x18351),x18354),x18352))
% 19.04/19.07 [1853]E(f12(x18531,x18531,f12(x18531,f166(x18531,x18531),x18533,f12(f166(x18531,a2),x18531,x18534,x18532)),f12(f166(x18531,a2),x18531,x18534,x18535)),f12(f166(x18531,a2),x18531,x18534,x18535))+E(f12(f166(x18531,a2),f166(x18531,a2),f7(f166(x18531,a2)),x18532),f6(f166(x18531,a2)))+~P21(f12(f166(x18531,a2),a2,f175(x18531),x18535))+~P21(f12(f166(f166(x18531,a2),x18531),a2,f12(f166(x18531,f166(x18531,x18531)),f166(f166(f166(x18531,a2),x18531),a2),f172(x18531),x18533),x18534))+~P21(f12(f166(x18531,a2),a2,f12(f166(x18531,a2),f166(f166(x18531,a2),a2),f199(f166(x18531,a2)),x18532),x18535))
% 19.04/19.07 [1932]E(f12(f166(x19321,a2),x19321,x19322,x19323),f12(x19321,x19321,f7(x19321),x19324))+~E(f12(f166(x19321,a2),f166(x19321,a2),f12(f166(x19321,a2),f166(f166(x19321,a2),f166(x19321,a2)),f190(f166(x19321,a2)),x19323),f12(f166(x19321,a2),f166(x19321,a2),f12(x19321,f166(f166(x19321,a2),f166(x19321,a2)),f182(x19321),x19324),f6(f166(x19321,a2)))),f6(f166(x19321,a2)))+~P21(f12(f166(x19321,a2),a2,f175(x19321),x19323))+~P21(f12(f166(f166(x19321,a2),x19321),a2,f12(f166(x19321,f166(x19321,x19321)),f166(f166(f166(x19321,a2),x19321),a2),f177(x19321),x19325),x19322))+~P21(f12(f166(x19321,a2),a2,f12(x19321,f166(f166(x19321,a2),a2),f189(x19321),x19324),x19323))
% 19.04/19.07 [2215]~E(f12(x22151,x22151,f12(x22151,f166(x22151,x22151),x22155,f12(x22151,x22151,x22154,f100(x22151,x22152,x22154,x22155,x22153))),f12(x22151,x22151,x22154,f101(x22151,x22152,x22154,x22155,x22153))),f12(x22151,x22151,x22154,f12(x22151,x22151,f12(x22151,f166(x22151,x22151),x22155,f100(x22151,x22152,x22154,x22155,x22153)),f101(x22151,x22152,x22154,x22155,x22153))))+E(f12(f166(x22151,a2),f166(x22151,a2),f7(f166(x22151,a2)),x22152),f6(f166(x22151,a2)))+E(f12(f166(x22151,a2),x22151,x22153,f12(f166(x22151,a2),f166(x22151,a2),f12(f166(x22151,x22151),f166(f166(x22151,a2),f166(x22151,a2)),f181(x22151,x22151),x22154),x22152)),f12(x22151,x22151,x22154,f12(f166(x22151,a2),x22151,x22153,x22152)))+~P21(f12(f166(x22151,a2),a2,f175(x22151),x22152))+~P21(f12(f166(f166(x22151,a2),x22151),a2,f12(f166(x22151,f166(x22151,x22151)),f166(f166(f166(x22151,a2),x22151),a2),f172(x22151),x22155),x22153))
% 19.04/19.07 [2143]E(f12(f166(x21431,a2),f166(x21431,a2),f12(f166(x21431,a2),f166(f166(x21431,a2),f166(x21431,a2)),f190(f166(x21431,a2)),x21432),f12(f166(x21431,a2),f166(x21431,a2),f12(x21431,f166(f166(x21431,a2),f166(x21431,a2)),f182(x21431),x21433),f6(f166(x21431,a2)))),f6(f166(x21431,a2)))+~P21(f12(f166(x21431,a2),a2,f175(x21431),x21432))+E(f12(x21431,x21431,f12(x21431,f166(x21431,x21431),x21434,x21433),f12(f166(x21431,a2),x21431,x21435,f12(f166(x21431,a2),f166(x21431,a2),f12(f166(x21431,a2),f166(f166(x21431,a2),f166(x21431,a2)),f190(f166(x21431,a2)),x21432),f12(f166(x21431,a2),f166(x21431,a2),f12(x21431,f166(f166(x21431,a2),f166(x21431,a2)),f182(x21431),x21433),f6(f166(x21431,a2)))))),f12(f166(x21431,a2),x21431,x21435,x21432))+~P21(f12(f166(f166(x21431,a2),x21431),a2,f12(f166(x21431,f166(x21431,x21431)),f166(f166(f166(x21431,a2),x21431),a2),f177(x21431),x21434),x21435))+~P21(f12(f166(x21431,a2),a2,f12(x21431,f166(f166(x21431,a2),a2),f189(x21431),x21433),x21432))
% 19.04/19.07 [2233]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22334),f183(a1)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x22333),x22335))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22331),x22332))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x22333),x22334))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x22333),x22332)),x22335)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x22333),x22331)),x22334)))
% 19.04/19.07 [2234]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x22345))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22341),x22342))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x22343),x22344))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x22345),x22344))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x22344),x22341)),x22345)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x22344),x22342)),x22343)))
% 19.04/19.07 [1746]~P55(x17461)+E(f12(x17461,x17461,f7(x17461),x17462),f183(x17461))+E(f12(x17461,x17461,f7(x17461),x17463),f12(x17461,x17461,f7(x17461),x17464))+~E(f12(x17461,x17461,f7(x17461),x17465),f12(x17461,x17461,f7(x17461),x17466))+~E(f12(x17461,x17461,f12(x17461,f166(x17461,x17461),f203(x17461),x17465),f12(x17461,x17461,f12(x17461,f166(x17461,x17461),f216(x17461),x17462),x17463)),f12(x17461,x17461,f12(x17461,f166(x17461,x17461),f203(x17461),x17466),f12(x17461,x17461,f12(x17461,f166(x17461,x17461),f216(x17461),x17462),x17464)))
% 19.04/19.07 [2293]~P14(x22932)+~P21(f12(f166(x22931,a2),a2,f175(x22931),x22935))+E(f12(f166(x22931,a2),x22932,f12(x22932,f166(f166(x22931,a2),x22932),f12(f166(x22931,x22932),f166(x22932,f166(f166(x22931,a2),x22932)),f12(f166(x22932,f166(x22932,x22932)),f166(f166(x22931,x22932),f166(x22932,f166(f166(x22931,a2),x22932))),f178(x22932,x22931),f216(x22932)),x22933),x22934),x22935),f12(f166(x22936,a2),x22932,f12(x22932,f166(f166(x22936,a2),x22932),f12(f166(x22936,x22932),f166(x22932,f166(f166(x22936,a2),x22932)),f12(f166(x22932,f166(x22932,x22932)),f166(f166(x22936,x22932),f166(x22932,f166(f166(x22936,a2),x22932))),f178(x22932,x22936),f216(x22932)),x22937),x22934),x22938))+P21(f12(f166(x22931,a2),a2,f12(x22931,f166(f166(x22931,a2),a2),f189(x22931),f69(x22936,x22931,x22932,x22934,x22937,x22933,x22939,x229310,x22938,x22935)),x22935))+P21(f12(f166(x22936,a2),a2,f12(x22936,f166(f166(x22936,a2),a2),f189(x22936),f68(x22936,x22931,x22932,x22934,x22937,x22933,x22939,x229310,x22938,x22935)),x22938))
% 19.04/19.07 [1604]~P47(x16041)+~E(f12(x16041,x16041,f7(x16041),x16043),f183(x16041))+~E(f12(x16041,x16041,f7(x16041),x16042),f183(x16041))+E(f12(x16041,x16041,f12(x16041,f166(x16041,x16041),f203(x16041),x16042),x16043),f183(x16041))+~P21(f12(x16041,a2,f12(x16041,f166(x16041,a2),f199(x16041),f183(x16041)),x16042))+~P21(f12(x16041,a2,f12(x16041,f166(x16041,a2),f199(x16041),f183(x16041)),x16043))
% 19.04/19.07 [2094]~P19(x20941)+~P21(f12(x20941,a2,f12(x20941,f166(x20941,a2),f199(x20941),f183(x20941)),x20943))+~P21(f12(x20941,a2,f12(x20941,f166(x20941,a2),f200(x20941),f183(x20941)),x20944))+~P21(f12(x20941,a2,f12(x20941,f166(x20941,a2),f200(x20941),x20942),x20944))+~P21(f12(x20941,a2,f12(x20941,f166(x20941,a2),f200(x20941),x20943),x20945))+P21(f12(x20941,a2,f12(x20941,f166(x20941,a2),f200(x20941),f12(x20941,x20941,f12(x20941,f166(x20941,x20941),f216(x20941),x20942),x20943)),f12(x20941,x20941,f12(x20941,f166(x20941,x20941),f216(x20941),x20944),x20945)))
% 19.04/19.07 [2095]~P19(x20951)+~P21(f12(x20951,a2,f12(x20951,f166(x20951,a2),f199(x20951),f183(x20951)),x20952))+~P21(f12(x20951,a2,f12(x20951,f166(x20951,a2),f199(x20951),f183(x20951)),x20953))+~P21(f12(x20951,a2,f12(x20951,f166(x20951,a2),f200(x20951),x20952),x20954))+~P21(f12(x20951,a2,f12(x20951,f166(x20951,a2),f200(x20951),x20953),x20955))+P21(f12(x20951,a2,f12(x20951,f166(x20951,a2),f200(x20951),f12(x20951,x20951,f12(x20951,f166(x20951,x20951),f216(x20951),x20952),x20953)),f12(x20951,x20951,f12(x20951,f166(x20951,x20951),f216(x20951),x20954),x20955)))
% 19.04/19.07 [2096]~P19(x20961)+~P21(f12(x20961,a2,f12(x20961,f166(x20961,a2),f199(x20961),f183(x20961)),x20963))+~P21(f12(x20961,a2,f12(x20961,f166(x20961,a2),f200(x20961),f183(x20961)),x20962))+~P21(f12(x20961,a2,f12(x20961,f166(x20961,a2),f199(x20961),x20962),x20964))+~P21(f12(x20961,a2,f12(x20961,f166(x20961,a2),f200(x20961),x20963),x20965))+P21(f12(x20961,a2,f12(x20961,f166(x20961,a2),f200(x20961),f12(x20961,x20961,f12(x20961,f166(x20961,x20961),f216(x20961),x20962),x20963)),f12(x20961,x20961,f12(x20961,f166(x20961,x20961),f216(x20961),x20964),x20965)))
% 19.04/19.07 [2097]~P19(x20971)+~P21(f12(x20971,a2,f12(x20971,f166(x20971,a2),f199(x20971),f183(x20971)),x20972))+~P21(f12(x20971,a2,f12(x20971,f166(x20971,a2),f200(x20971),f183(x20971)),x20973))+~P21(f12(x20971,a2,f12(x20971,f166(x20971,a2),f199(x20971),x20973),x20975))+~P21(f12(x20971,a2,f12(x20971,f166(x20971,a2),f200(x20971),x20972),x20974))+P21(f12(x20971,a2,f12(x20971,f166(x20971,a2),f200(x20971),f12(x20971,x20971,f12(x20971,f166(x20971,x20971),f216(x20971),x20972),x20973)),f12(x20971,x20971,f12(x20971,f166(x20971,x20971),f216(x20971),x20974),x20975)))
% 19.04/19.07 [2098]~P52(x20981)+~P21(f12(x20981,a2,f12(x20981,f166(x20981,a2),f199(x20981),f183(x20981)),x20984))+~P21(f12(x20981,a2,f12(x20981,f166(x20981,a2),f199(x20981),f183(x20981)),x20983))+~P21(f12(x20981,a2,f12(x20981,f166(x20981,a2),f199(x20981),x20982),x20984))+~P21(f12(x20981,a2,f12(x20981,f166(x20981,a2),f199(x20981),x20983),x20985))+P21(f12(x20981,a2,f12(x20981,f166(x20981,a2),f199(x20981),f12(x20981,x20981,f12(x20981,f166(x20981,x20981),f216(x20981),x20982),x20983)),f12(x20981,x20981,f12(x20981,f166(x20981,x20981),f216(x20981),x20984),x20985)))
% 19.04/19.07 [2099]~P52(x20991)+~P21(f12(x20991,a2,f12(x20991,f166(x20991,a2),f199(x20991),f183(x20991)),x20992))+~P21(f12(x20991,a2,f12(x20991,f166(x20991,a2),f199(x20991),f183(x20991)),x20993))+~P21(f12(x20991,a2,f12(x20991,f166(x20991,a2),f199(x20991),x20992),x20994))+~P21(f12(x20991,a2,f12(x20991,f166(x20991,a2),f199(x20991),x20993),x20995))+P21(f12(x20991,a2,f12(x20991,f166(x20991,a2),f199(x20991),f12(x20991,x20991,f12(x20991,f166(x20991,x20991),f216(x20991),x20992),x20993)),f12(x20991,x20991,f12(x20991,f166(x20991,x20991),f216(x20991),x20994),x20995)))
% 19.04/19.07 [2075]~P21(f12(a1,a2,x20751,x20755))+P21(f12(a1,a2,x20752,f43(x20752,x20751,x20753)))+P21(f12(a1,a2,x20751,f42(x20752,x20751,x20753)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x20754),f44(x20752,x20751,x20753,x20754)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x20753))+P21(f12(a1,a2,x20751,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f42(x20752,x20751,x20753)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f45(x20752,x20751,x20753)),x20753))))
% 19.04/19.07 [2079]~P21(f12(a1,a2,x20791,x20795))+P21(f12(a1,a2,x20792,f39(x20792,x20791,x20793)))+P21(f12(a1,a2,x20791,f38(x20792,x20791,x20793)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x20793))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f40(x20792,x20791,x20793,x20794)),x20794))+P21(f12(a1,a2,x20791,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f38(x20792,x20791,x20793)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f41(x20792,x20791,x20793)),x20793))))
% 19.04/19.07 [2146]~P21(f12(a1,a2,x21462,x21465))+~P21(f12(a1,a2,x21462,f42(x21461,x21462,x21463)))+P21(f12(a1,a2,x21461,f43(x21461,x21462,x21463)))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x21464),f44(x21461,x21462,x21463,x21464)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21463))+~P21(f12(a1,a2,x21462,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f42(x21461,x21462,x21463)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f45(x21461,x21462,x21463)),x21463))))
% 19.04/19.07 [2152]~P21(f12(a1,a2,x21522,x21525))+~P21(f12(a1,a2,x21522,f38(x21521,x21522,x21523)))+P21(f12(a1,a2,x21521,f39(x21521,x21522,x21523)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21523))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f40(x21521,x21522,x21523,x21524)),x21524))+~P21(f12(a1,a2,x21522,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f38(x21521,x21522,x21523)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f41(x21521,x21522,x21523)),x21523))))
% 19.04/19.07 [2229]~P40(x22291)+~P40(x22293)+~P21(f12(x22291,a2,f12(x22291,f166(x22291,a2),f199(x22291),x22292),f12(x22293,x22291,x22294,x22296)))+P21(f12(x22293,a2,f12(x22293,f166(x22293,a2),f200(x22293),f127(x22291,x22293,x22295,x22292,x22294,x22296)),f132(x22291,x22293,x22295,x22292,x22294,x22296)))+P21(f12(x22291,a2,f12(x22291,f166(x22291,a2),f200(x22291),x22292),f12(x22293,x22291,x22294,x22295)))+~P21(f12(x22293,a2,f12(x22293,f166(x22293,a2),f200(x22293),x22296),x22295))
% 19.04/19.07 [2230]~P40(x22301)+~P40(x22303)+~P21(f12(x22301,a2,f12(x22301,f166(x22301,a2),f200(x22301),x22302),f12(x22303,x22301,x22304,x22306)))+P21(f12(x22303,a2,f12(x22303,f166(x22303,a2),f199(x22303),f133(x22301,x22303,x22305,x22302,x22304,x22306)),f134(x22301,x22303,x22305,x22302,x22304,x22306)))+P21(f12(x22301,a2,f12(x22301,f166(x22301,a2),f200(x22301),x22302),f12(x22303,x22301,x22304,x22305)))+~P21(f12(x22303,a2,f12(x22303,f166(x22303,a2),f199(x22303),x22306),x22305))
% 19.04/19.07 [2231]~P40(x22311)+~P40(x22313)+~P21(f12(x22311,a2,f12(x22311,f166(x22311,a2),f199(x22311),x22312),f12(x22313,x22311,x22314,x22316)))+P21(f12(x22313,a2,f12(x22313,f166(x22313,a2),f200(x22313),f139(x22311,x22313,x22312,x22314,x22316,x22315)),f140(x22311,x22313,x22312,x22314,x22316,x22315)))+P21(f12(x22311,a2,f12(x22311,f166(x22311,a2),f200(x22311),x22312),f12(x22313,x22311,x22314,x22315)))+~P21(f12(x22313,a2,f12(x22313,f166(x22313,a2),f200(x22313),x22316),x22315))
% 19.04/19.07 [2232]~P40(x22321)+~P40(x22323)+~P21(f12(x22321,a2,f12(x22321,f166(x22321,a2),f200(x22321),x22322),f12(x22323,x22321,x22324,x22326)))+P21(f12(x22323,a2,f12(x22323,f166(x22323,a2),f199(x22323),f141(x22321,x22323,x22322,x22324,x22326,x22325)),f142(x22321,x22323,x22322,x22324,x22326,x22325)))+P21(f12(x22321,a2,f12(x22321,f166(x22321,a2),f200(x22321),x22322),f12(x22323,x22321,x22324,x22325)))+~P21(f12(x22323,a2,f12(x22323,f166(x22323,a2),f199(x22323),x22326),x22325))
% 19.04/19.07 [2235]~P39(x22352)+~P40(x22351)+P21(f12(x22352,a2,f12(x22352,f166(x22352,a2),f200(x22352),f128(x22352,x22351,x22354,x22353,x22356,x22355)),f129(x22352,x22351,x22354,x22353,x22356,x22355)))+~P21(f12(x22352,a2,f12(x22352,f166(x22352,a2),f200(x22352),x22354),x22356))+~P21(f12(x22351,a2,f12(x22351,f166(x22351,a2),f199(x22351),f12(x22352,x22351,x22353,x22356)),x22355))+P21(f12(x22351,a2,f12(x22351,f166(x22351,a2),f200(x22351),f12(x22352,x22351,x22353,x22354)),x22355))
% 19.04/19.07 [2236]~P40(x22361)+~P40(x22362)+P21(f12(x22362,a2,f12(x22362,f166(x22362,a2),f199(x22362),f130(x22362,x22361,x22364,x22363,x22366,x22365)),f131(x22362,x22361,x22364,x22363,x22366,x22365)))+~P21(f12(x22362,a2,f12(x22362,f166(x22362,a2),f199(x22362),x22364),x22366))+~P21(f12(x22361,a2,f12(x22361,f166(x22361,a2),f200(x22361),f12(x22362,x22361,x22363,x22366)),x22365))+P21(f12(x22361,a2,f12(x22361,f166(x22361,a2),f200(x22361),f12(x22362,x22361,x22363,x22364)),x22365))
% 19.04/19.07 [2237]~P40(x22371)+~P40(x22372)+P21(f12(x22372,a2,f12(x22372,f166(x22372,a2),f200(x22372),f143(x22372,x22371,x22373,x22375,x22374,x22376)),f146(x22372,x22371,x22373,x22375,x22374,x22376)))+~P21(f12(x22372,a2,f12(x22372,f166(x22372,a2),f200(x22372),x22374),x22376))+~P21(f12(x22371,a2,f12(x22371,f166(x22371,a2),f199(x22371),f12(x22372,x22371,x22373,x22376)),x22375))+P21(f12(x22371,a2,f12(x22371,f166(x22371,a2),f200(x22371),f12(x22372,x22371,x22373,x22374)),x22375))
% 19.04/19.07 [2238]~P40(x22381)+~P40(x22382)+P21(f12(x22382,a2,f12(x22382,f166(x22382,a2),f199(x22382),f144(x22382,x22381,x22383,x22385,x22384,x22386)),f145(x22382,x22381,x22383,x22385,x22384,x22386)))+~P21(f12(x22382,a2,f12(x22382,f166(x22382,a2),f199(x22382),x22384),x22386))+~P21(f12(x22381,a2,f12(x22381,f166(x22381,a2),f200(x22381),f12(x22382,x22381,x22383,x22386)),x22385))+P21(f12(x22381,a2,f12(x22381,f166(x22381,a2),f200(x22381),f12(x22382,x22381,x22383,x22384)),x22385))
% 19.04/19.07 [2261]~P40(x22613)+~P40(x22611)+~P21(f12(x22611,a2,f12(x22611,f166(x22611,a2),f199(x22611),x22612),f12(x22613,x22611,x22614,x22616)))+P21(f12(x22611,a2,f12(x22611,f166(x22611,a2),f200(x22611),x22612),f12(x22613,x22611,x22614,x22615)))+~P21(f12(x22611,a2,f12(x22611,f166(x22611,a2),f200(x22611),f12(x22613,x22611,x22614,f127(x22611,x22613,x22615,x22612,x22614,x22616))),f12(x22613,x22611,x22614,f132(x22611,x22613,x22615,x22612,x22614,x22616))))+~P21(f12(x22613,a2,f12(x22613,f166(x22613,a2),f200(x22613),x22616),x22615))
% 19.04/19.07 [2262]~P40(x22623)+~P40(x22621)+~P21(f12(x22621,a2,f12(x22621,f166(x22621,a2),f200(x22621),x22622),f12(x22623,x22621,x22624,x22626)))+P21(f12(x22621,a2,f12(x22621,f166(x22621,a2),f200(x22621),x22622),f12(x22623,x22621,x22624,x22625)))+~P21(f12(x22621,a2,f12(x22621,f166(x22621,a2),f199(x22621),f12(x22623,x22621,x22624,f133(x22621,x22623,x22625,x22622,x22624,x22626))),f12(x22623,x22621,x22624,f134(x22621,x22623,x22625,x22622,x22624,x22626))))+~P21(f12(x22623,a2,f12(x22623,f166(x22623,a2),f199(x22623),x22626),x22625))
% 19.04/19.07 [2263]~P40(x22633)+~P40(x22631)+~P21(f12(x22631,a2,f12(x22631,f166(x22631,a2),f199(x22631),x22632),f12(x22633,x22631,x22634,x22636)))+P21(f12(x22631,a2,f12(x22631,f166(x22631,a2),f200(x22631),x22632),f12(x22633,x22631,x22634,x22635)))+~P21(f12(x22631,a2,f12(x22631,f166(x22631,a2),f200(x22631),f12(x22633,x22631,x22634,f139(x22631,x22633,x22632,x22634,x22636,x22635))),f12(x22633,x22631,x22634,f140(x22631,x22633,x22632,x22634,x22636,x22635))))+~P21(f12(x22633,a2,f12(x22633,f166(x22633,a2),f200(x22633),x22636),x22635))
% 19.04/19.07 [2264]~P40(x22643)+~P40(x22641)+~P21(f12(x22641,a2,f12(x22641,f166(x22641,a2),f200(x22641),x22642),f12(x22643,x22641,x22644,x22646)))+P21(f12(x22641,a2,f12(x22641,f166(x22641,a2),f200(x22641),x22642),f12(x22643,x22641,x22644,x22645)))+~P21(f12(x22641,a2,f12(x22641,f166(x22641,a2),f199(x22641),f12(x22643,x22641,x22644,f141(x22641,x22643,x22642,x22644,x22646,x22645))),f12(x22643,x22641,x22644,f142(x22641,x22643,x22642,x22644,x22646,x22645))))+~P21(f12(x22643,a2,f12(x22643,f166(x22643,a2),f199(x22643),x22646),x22645))
% 19.04/19.07 [2265]~P40(x22652)+~P40(x22651)+~P21(f12(x22651,a2,f12(x22651,f166(x22651,a2),f200(x22651),f12(x22652,x22651,x22653,f143(x22652,x22651,x22653,x22655,x22654,x22656))),f12(x22652,x22651,x22653,f146(x22652,x22651,x22653,x22655,x22654,x22656))))+~P21(f12(x22651,a2,f12(x22651,f166(x22651,a2),f199(x22651),f12(x22652,x22651,x22653,x22656)),x22655))+P21(f12(x22651,a2,f12(x22651,f166(x22651,a2),f200(x22651),f12(x22652,x22651,x22653,x22654)),x22655))+~P21(f12(x22652,a2,f12(x22652,f166(x22652,a2),f200(x22652),x22654),x22656))
% 19.04/19.07 [2266]~P40(x22662)+~P40(x22661)+~P21(f12(x22661,a2,f12(x22661,f166(x22661,a2),f199(x22661),f12(x22662,x22661,x22663,f144(x22662,x22661,x22663,x22665,x22664,x22666))),f12(x22662,x22661,x22663,f145(x22662,x22661,x22663,x22665,x22664,x22666))))+~P21(f12(x22661,a2,f12(x22661,f166(x22661,a2),f200(x22661),f12(x22662,x22661,x22663,x22666)),x22665))+P21(f12(x22661,a2,f12(x22661,f166(x22661,a2),f200(x22661),f12(x22662,x22661,x22663,x22664)),x22665))+~P21(f12(x22662,a2,f12(x22662,f166(x22662,a2),f199(x22662),x22664),x22666))
% 19.04/19.07 [2267]~P39(x22672)+~P40(x22671)+~P21(f12(x22671,a2,f12(x22671,f166(x22671,a2),f200(x22671),f12(x22672,x22671,x22673,f128(x22672,x22671,x22674,x22673,x22676,x22675))),f12(x22672,x22671,x22673,f129(x22672,x22671,x22674,x22673,x22676,x22675))))+~P21(f12(x22671,a2,f12(x22671,f166(x22671,a2),f199(x22671),f12(x22672,x22671,x22673,x22676)),x22675))+P21(f12(x22671,a2,f12(x22671,f166(x22671,a2),f200(x22671),f12(x22672,x22671,x22673,x22674)),x22675))+~P21(f12(x22672,a2,f12(x22672,f166(x22672,a2),f200(x22672),x22674),x22676))
% 19.04/19.07 [2268]~P40(x22682)+~P40(x22681)+~P21(f12(x22681,a2,f12(x22681,f166(x22681,a2),f199(x22681),f12(x22682,x22681,x22683,f130(x22682,x22681,x22684,x22683,x22686,x22685))),f12(x22682,x22681,x22683,f131(x22682,x22681,x22684,x22683,x22686,x22685))))+~P21(f12(x22681,a2,f12(x22681,f166(x22681,a2),f200(x22681),f12(x22682,x22681,x22683,x22686)),x22685))+P21(f12(x22681,a2,f12(x22681,f166(x22681,a2),f200(x22681),f12(x22682,x22681,x22683,x22684)),x22685))+~P21(f12(x22682,a2,f12(x22682,f166(x22682,a2),f199(x22682),x22684),x22686))
% 19.04/19.07 [2286]~P14(x22861)+~P21(f12(f166(x22863,a2),a2,f175(x22863),x22866))+P21(f12(x22861,a2,f12(x22861,f166(x22861,a2),x22862,f63(x22863,x22861,x22864,x22865,x22866,x22862,x22867)),f64(x22863,x22861,x22864,x22865,x22866,x22862,x22867)))+~P21(f12(x22861,a2,f12(x22861,f166(x22861,a2),x22862,x22867),x22867))+P21(f12(f166(x22863,a2),a2,f12(x22863,f166(f166(x22863,a2),a2),f189(x22863),f67(x22863,x22861,x22864,x22865,x22866,x22862,x22867)),x22866))+P21(f12(x22861,a2,f12(x22861,f166(x22861,a2),x22862,f12(f166(x22863,a2),x22861,f12(x22861,f166(f166(x22863,a2),x22861),f12(f166(x22863,x22861),f166(x22861,f166(f166(x22863,a2),x22861)),f12(f166(x22861,f166(x22861,x22861)),f166(f166(x22863,x22861),f166(x22861,f166(f166(x22863,a2),x22861))),f178(x22861,x22863),f216(x22861)),x22864),x22867),x22866)),f12(f166(x22863,a2),x22861,f12(x22861,f166(f166(x22863,a2),x22861),f12(f166(x22863,x22861),f166(x22861,f166(f166(x22863,a2),x22861)),f12(f166(x22861,f166(x22861,x22861)),f166(f166(x22863,x22861),f166(x22861,f166(f166(x22863,a2),x22861))),f178(x22861,x22863),f216(x22861)),x22865),x22867),x22866)))
% 19.04/19.07 [2287]~P14(x22871)+~P21(f12(f166(x22873,a2),a2,f175(x22873),x22876))+P21(f12(x22871,a2,f12(x22871,f166(x22871,a2),x22872,f65(x22873,x22871,x22874,x22875,x22876,x22872,x22877)),f66(x22873,x22871,x22874,x22875,x22876,x22872,x22877)))+~P21(f12(x22871,a2,f12(x22871,f166(x22871,a2),x22872,x22877),x22877))+P21(f12(f166(x22873,a2),a2,f12(x22873,f166(f166(x22873,a2),a2),f189(x22873),f67(x22873,x22871,x22874,x22875,x22876,x22872,x22877)),x22876))+P21(f12(x22871,a2,f12(x22871,f166(x22871,a2),x22872,f12(f166(x22873,a2),x22871,f12(x22871,f166(f166(x22873,a2),x22871),f12(f166(x22873,x22871),f166(x22871,f166(f166(x22873,a2),x22871)),f12(f166(x22871,f166(x22871,x22871)),f166(f166(x22873,x22871),f166(x22871,f166(f166(x22873,a2),x22871))),f178(x22871,x22873),f216(x22871)),x22874),x22877),x22876)),f12(f166(x22873,a2),x22871,f12(x22871,f166(f166(x22873,a2),x22871),f12(f166(x22873,x22871),f166(x22871,f166(f166(x22873,a2),x22871)),f12(f166(x22871,f166(x22871,x22871)),f166(f166(x22873,x22871),f166(x22871,f166(f166(x22873,a2),x22871))),f178(x22871,x22873),f216(x22871)),x22875),x22877),x22876)))
% 19.04/19.07 [2289]~P14(x22891)+~P21(f12(f166(x22893,a2),a2,f175(x22893),x22896))+P21(f12(x22891,a2,f12(x22891,f166(x22891,a2),x22892,f63(x22893,x22891,x22894,x22895,x22896,x22892,x22897)),f64(x22893,x22891,x22894,x22895,x22896,x22892,x22897)))+~P21(f12(x22891,a2,f12(x22891,f166(x22891,a2),x22892,f12(x22893,x22891,x22894,f67(x22893,x22891,x22894,x22895,x22896,x22892,x22897))),f12(x22893,x22891,x22895,f67(x22893,x22891,x22894,x22895,x22896,x22892,x22897))))+~P21(f12(x22891,a2,f12(x22891,f166(x22891,a2),x22892,x22897),x22897))+P21(f12(x22891,a2,f12(x22891,f166(x22891,a2),x22892,f12(f166(x22893,a2),x22891,f12(x22891,f166(f166(x22893,a2),x22891),f12(f166(x22893,x22891),f166(x22891,f166(f166(x22893,a2),x22891)),f12(f166(x22891,f166(x22891,x22891)),f166(f166(x22893,x22891),f166(x22891,f166(f166(x22893,a2),x22891))),f178(x22891,x22893),f216(x22891)),x22894),x22897),x22896)),f12(f166(x22893,a2),x22891,f12(x22891,f166(f166(x22893,a2),x22891),f12(f166(x22893,x22891),f166(x22891,f166(f166(x22893,a2),x22891)),f12(f166(x22891,f166(x22891,x22891)),f166(f166(x22893,x22891),f166(x22891,f166(f166(x22893,a2),x22891))),f178(x22891,x22893),f216(x22891)),x22895),x22897),x22896)))
% 19.04/19.07 [2290]~P14(x22901)+~P21(f12(f166(x22903,a2),a2,f175(x22903),x22906))+P21(f12(x22901,a2,f12(x22901,f166(x22901,a2),x22902,f65(x22903,x22901,x22904,x22905,x22906,x22902,x22907)),f66(x22903,x22901,x22904,x22905,x22906,x22902,x22907)))+~P21(f12(x22901,a2,f12(x22901,f166(x22901,a2),x22902,f12(x22903,x22901,x22904,f67(x22903,x22901,x22904,x22905,x22906,x22902,x22907))),f12(x22903,x22901,x22905,f67(x22903,x22901,x22904,x22905,x22906,x22902,x22907))))+~P21(f12(x22901,a2,f12(x22901,f166(x22901,a2),x22902,x22907),x22907))+P21(f12(x22901,a2,f12(x22901,f166(x22901,a2),x22902,f12(f166(x22903,a2),x22901,f12(x22901,f166(f166(x22903,a2),x22901),f12(f166(x22903,x22901),f166(x22901,f166(f166(x22903,a2),x22901)),f12(f166(x22901,f166(x22901,x22901)),f166(f166(x22903,x22901),f166(x22901,f166(f166(x22903,a2),x22901))),f178(x22901,x22903),f216(x22901)),x22904),x22907),x22906)),f12(f166(x22903,a2),x22901,f12(x22901,f166(f166(x22903,a2),x22901),f12(f166(x22903,x22901),f166(x22901,f166(f166(x22903,a2),x22901)),f12(f166(x22901,f166(x22901,x22901)),f166(f166(x22903,x22901),f166(x22901,f166(f166(x22903,a2),x22901))),f178(x22901,x22903),f216(x22901)),x22905),x22907),x22906)))
% 19.04/19.07 [2291]~P14(x22912)+~P21(f12(f166(x22911,a2),a2,f175(x22911),x22915))+~P21(f12(x22912,a2,f12(x22912,f166(x22912,a2),x22916,f12(x22912,x22912,f12(x22912,f166(x22912,x22912),f216(x22912),f63(x22911,x22912,x22913,x22914,x22915,x22916,x22917)),f65(x22911,x22912,x22913,x22914,x22915,x22916,x22917))),f12(x22912,x22912,f12(x22912,f166(x22912,x22912),f216(x22912),f64(x22911,x22912,x22913,x22914,x22915,x22916,x22917)),f66(x22911,x22912,x22913,x22914,x22915,x22916,x22917))))+~P21(f12(x22912,a2,f12(x22912,f166(x22912,a2),x22916,x22917),x22917))+P21(f12(f166(x22911,a2),a2,f12(x22911,f166(f166(x22911,a2),a2),f189(x22911),f67(x22911,x22912,x22913,x22914,x22915,x22916,x22917)),x22915))+P21(f12(x22912,a2,f12(x22912,f166(x22912,a2),x22916,f12(f166(x22911,a2),x22912,f12(x22912,f166(f166(x22911,a2),x22912),f12(f166(x22911,x22912),f166(x22912,f166(f166(x22911,a2),x22912)),f12(f166(x22912,f166(x22912,x22912)),f166(f166(x22911,x22912),f166(x22912,f166(f166(x22911,a2),x22912))),f178(x22912,x22911),f216(x22912)),x22913),x22917),x22915)),f12(f166(x22911,a2),x22912,f12(x22912,f166(f166(x22911,a2),x22912),f12(f166(x22911,x22912),f166(x22912,f166(f166(x22911,a2),x22912)),f12(f166(x22912,f166(x22912,x22912)),f166(f166(x22911,x22912),f166(x22912,f166(f166(x22911,a2),x22912))),f178(x22912,x22911),f216(x22912)),x22914),x22917),x22915)))
% 19.04/19.07 [2292]~P14(x22921)+~P21(f12(f166(x22923,a2),a2,f175(x22923),x22926))+~P21(f12(x22921,a2,f12(x22921,f166(x22921,a2),x22922,f12(x22921,x22921,f12(x22921,f166(x22921,x22921),f216(x22921),f63(x22923,x22921,x22924,x22927,x22926,x22922,x22925)),f65(x22923,x22921,x22924,x22927,x22926,x22922,x22925))),f12(x22921,x22921,f12(x22921,f166(x22921,x22921),f216(x22921),f64(x22923,x22921,x22924,x22927,x22926,x22922,x22925)),f66(x22923,x22921,x22924,x22927,x22926,x22922,x22925))))+~P21(f12(x22921,a2,f12(x22921,f166(x22921,a2),x22922,f12(x22923,x22921,x22924,f67(x22923,x22921,x22924,x22927,x22926,x22922,x22925))),f12(x22923,x22921,x22927,f67(x22923,x22921,x22924,x22927,x22926,x22922,x22925))))+~P21(f12(x22921,a2,f12(x22921,f166(x22921,a2),x22922,x22925),x22925))+P21(f12(x22921,a2,f12(x22921,f166(x22921,a2),x22922,f12(f166(x22923,a2),x22921,f12(x22921,f166(f166(x22923,a2),x22921),f12(f166(x22923,x22921),f166(x22921,f166(f166(x22923,a2),x22921)),f12(f166(x22921,f166(x22921,x22921)),f166(f166(x22923,x22921),f166(x22921,f166(f166(x22923,a2),x22921))),f178(x22921,x22923),f216(x22921)),x22924),x22925),x22926)),f12(f166(x22923,a2),x22921,f12(x22921,f166(f166(x22923,a2),x22921),f12(f166(x22923,x22921),f166(x22921,f166(f166(x22923,a2),x22921)),f12(f166(x22921,f166(x22921,x22921)),f166(f166(x22923,x22921),f166(x22921,f166(f166(x22923,a2),x22921))),f178(x22921,x22923),f216(x22921)),x22927),x22925),x22926)))
% 19.04/19.07 [2294]~P14(x22942)+~E(f12(x22941,x22946,x22949,f12(x22946,x22941,x229410,f68(x22946,x22941,x22942,x22944,x22947,x22943,x22949,x229410,x22948,x22945))),f12(x22946,x22946,f7(x22946),f68(x22946,x22941,x22942,x22944,x22947,x22943,x22949,x229410,x22948,x22945)))+~P21(f12(f166(x22941,a2),a2,f175(x22941),x22945))+E(f12(f166(x22941,a2),x22942,f12(x22942,f166(f166(x22941,a2),x22942),f12(f166(x22941,x22942),f166(x22942,f166(f166(x22941,a2),x22942)),f12(f166(x22942,f166(x22942,x22942)),f166(f166(x22941,x22942),f166(x22942,f166(f166(x22941,a2),x22942))),f178(x22942,x22941),f216(x22942)),x22943),x22944),x22945),f12(f166(x22946,a2),x22942,f12(x22942,f166(f166(x22946,a2),x22942),f12(f166(x22946,x22942),f166(x22942,f166(f166(x22946,a2),x22942)),f12(f166(x22942,f166(x22942,x22942)),f166(f166(x22946,x22942),f166(x22942,f166(f166(x22946,a2),x22942))),f178(x22942,x22946),f216(x22942)),x22947),x22944),x22948))+P21(f12(f166(x22941,a2),a2,f12(x22941,f166(f166(x22941,a2),a2),f189(x22941),f69(x22946,x22941,x22942,x22944,x22947,x22943,x22949,x229410,x22948,x22945)),x22945))+~P21(f12(f166(x22941,a2),a2,f12(x22941,f166(f166(x22941,a2),a2),f189(x22941),f12(x22946,x22941,x229410,f68(x22946,x22941,x22942,x22944,x22947,x22943,x22949,x229410,x22948,x22945))),x22945))
% 19.04/19.07 [2076]~P21(f12(a1,a2,x20761,x20765))+P21(f12(a1,a2,x20762,f39(x20762,x20761,x20763)))+P21(f12(a1,a2,x20761,f38(x20762,x20761,x20763)))+P21(f12(a1,a2,x20761,f40(x20762,x20761,x20763,x20764)))+P21(f12(a1,a2,x20762,f40(x20762,x20761,x20763,x20764)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x20763))+P21(f12(a1,a2,x20761,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f38(x20762,x20761,x20763)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f41(x20762,x20761,x20763)),x20763))))
% 19.04/19.07 [2077]~P21(f12(a1,a2,x20771,x20775))+P21(f12(a1,a2,x20772,f43(x20772,x20771,x20773)))+P21(f12(a1,a2,x20771,f42(x20772,x20771,x20773)))+P21(f12(a1,a2,x20771,f44(x20772,x20771,x20773,x20774)))+P21(f12(a1,a2,x20772,f44(x20772,x20771,x20773,x20774)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x20773))+P21(f12(a1,a2,x20771,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f42(x20772,x20771,x20773)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f45(x20772,x20771,x20773)),x20773))))
% 19.04/19.07 [2102]~P21(f12(a1,a2,x21021,x21024))+P21(f12(a1,a2,x21022,f39(x21022,x21021,x21023)))+P21(f12(a1,a2,x21021,f38(x21022,x21021,x21023)))+~P21(f12(a1,a2,x21021,f40(x21022,x21021,x21023,x21025)))+~P21(f12(a1,a2,x21022,f40(x21022,x21021,x21023,x21025)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21023))+P21(f12(a1,a2,x21021,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f38(x21022,x21021,x21023)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f41(x21022,x21021,x21023)),x21023))))
% 19.04/19.07 [2103]~P21(f12(a1,a2,x21031,x21034))+P21(f12(a1,a2,x21032,f43(x21032,x21031,x21033)))+P21(f12(a1,a2,x21031,f42(x21032,x21031,x21033)))+~P21(f12(a1,a2,x21031,f44(x21032,x21031,x21033,x21035)))+~P21(f12(a1,a2,x21032,f44(x21032,x21031,x21033,x21035)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21033))+P21(f12(a1,a2,x21031,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f42(x21032,x21031,x21033)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f45(x21032,x21031,x21033)),x21033))))
% 19.04/19.07 [2147]~P21(f12(a1,a2,x21472,x21475))+~P21(f12(a1,a2,x21472,f38(x21471,x21472,x21473)))+P21(f12(a1,a2,x21471,f39(x21471,x21472,x21473)))+P21(f12(a1,a2,x21472,f40(x21471,x21472,x21473,x21474)))+P21(f12(a1,a2,x21471,f40(x21471,x21472,x21473,x21474)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21473))+~P21(f12(a1,a2,x21472,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f38(x21471,x21472,x21473)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f41(x21471,x21472,x21473)),x21473))))
% 19.04/19.07 [2148]~P21(f12(a1,a2,x21482,x21485))+~P21(f12(a1,a2,x21482,f42(x21481,x21482,x21483)))+P21(f12(a1,a2,x21481,f43(x21481,x21482,x21483)))+P21(f12(a1,a2,x21482,f44(x21481,x21482,x21483,x21484)))+P21(f12(a1,a2,x21481,f44(x21481,x21482,x21483,x21484)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21483))+~P21(f12(a1,a2,x21482,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f42(x21481,x21482,x21483)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f45(x21481,x21482,x21483)),x21483))))
% 19.04/19.07 [2155]~P21(f12(a1,a2,x21552,x21554))+~P21(f12(a1,a2,x21552,f38(x21551,x21552,x21553)))+P21(f12(a1,a2,x21551,f39(x21551,x21552,x21553)))+~P21(f12(a1,a2,x21552,f40(x21551,x21552,x21553,x21555)))+~P21(f12(a1,a2,x21551,f40(x21551,x21552,x21553,x21555)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21553))+~P21(f12(a1,a2,x21552,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f38(x21551,x21552,x21553)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f41(x21551,x21552,x21553)),x21553))))
% 19.04/19.07 [2156]~P21(f12(a1,a2,x21562,x21564))+~P21(f12(a1,a2,x21562,f42(x21561,x21562,x21563)))+P21(f12(a1,a2,x21561,f43(x21561,x21562,x21563)))+~P21(f12(a1,a2,x21562,f44(x21561,x21562,x21563,x21565)))+~P21(f12(a1,a2,x21561,f44(x21561,x21562,x21563,x21565)))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21563))+~P21(f12(a1,a2,x21562,f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),f42(x21561,x21562,x21563)),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),f45(x21561,x21562,x21563)),x21563))))
% 19.04/19.07 [2227]~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x22275),x22271)),x22276)),f183(a1)))+~E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x22273),x22272)),x22274),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x22275),x22271)),x22276))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x22275))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x22276))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x22274),x22273))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22275),x22273))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x22271),x22272))
% 19.04/19.07 [2197]~E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x21973),x21971)),x21974),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x21975),x21972)),x21976))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f183(a1)),x21975))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),x21974))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),x21976),x21975))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x21975),x21973))+P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x21971),x21972))+~P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),f183(a1)),f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),f12(a1,a1,f12(a1,f166(a1,a1),f216(a1),x21975),x21972)),x21976)))
% 19.04/19.07 [2209]~P23(x22091)+~E(f12(x22091,x22091,f12(x22091,f166(x22091,x22091),f203(x22091),x22092),x22094),f195(x22091))+~P21(f12(x22091,a2,f12(x22091,f166(x22091,a2),f199(x22091),f183(x22091)),x22092))+~P21(f12(x22091,a2,f12(x22091,f166(x22091,a2),f199(x22091),f183(x22091)),x22094))+~P21(f12(x22091,a2,f12(x22091,f166(x22091,a2),f200(x22091),x22093),x22096))+~P21(f12(x22091,a2,f12(x22091,f166(x22091,a2),f200(x22091),x22095),x22096))+P21(f12(x22091,a2,f12(x22091,f166(x22091,a2),f200(x22091),f12(x22091,x22091,f12(x22091,f166(x22091,x22091),f203(x22091),f12(x22091,x22091,f12(x22091,f166(x22091,x22091),f216(x22091),x22092),x22093)),f12(x22091,x22091,f12(x22091,f166(x22091,x22091),f216(x22091),x22094),x22095))),x22096))
% 19.04/19.07 [2210]~P20(x22101)+~E(f12(x22101,x22101,f12(x22101,f166(x22101,x22101),f203(x22101),x22102),x22104),f195(x22101))+~P21(f12(x22101,a2,f12(x22101,f166(x22101,a2),f199(x22101),f183(x22101)),x22102))+~P21(f12(x22101,a2,f12(x22101,f166(x22101,a2),f199(x22101),f183(x22101)),x22104))+~P21(f12(x22101,a2,f12(x22101,f166(x22101,a2),f199(x22101),x22103),x22106))+~P21(f12(x22101,a2,f12(x22101,f166(x22101,a2),f199(x22101),x22105),x22106))+P21(f12(x22101,a2,f12(x22101,f166(x22101,a2),f199(x22101),f12(x22101,x22101,f12(x22101,f166(x22101,x22101),f203(x22101),f12(x22101,x22101,f12(x22101,f166(x22101,x22101),f216(x22101),x22102),x22103)),f12(x22101,x22101,f12(x22101,f166(x22101,x22101),f216(x22101),x22104),x22105))),x22106))
% 19.04/19.07 [2295]~P14(x22952)+~E(f12(x22951,x22952,x22953,f12(x22956,x22951,x22959,f69(x22951,x22956,x22952,x22954,x22953,x22957,x22959,x229510,x22955,x22958))),f12(x22956,x22952,x22957,f69(x22951,x22956,x22952,x22954,x22953,x22957,x22959,x229510,x22955,x22958)))+~E(f12(x22951,x22956,x229510,f12(x22956,x22951,x22959,f69(x22951,x22956,x22952,x22954,x22953,x22957,x22959,x229510,x22955,x22958))),f12(x22956,x22956,f7(x22956),f69(x22951,x22956,x22952,x22954,x22953,x22957,x22959,x229510,x22955,x22958)))+~P21(f12(f166(x22956,a2),a2,f175(x22956),x22958))+E(f12(f166(x22951,a2),x22952,f12(x22952,f166(f166(x22951,a2),x22952),f12(f166(x22951,x22952),f166(x22952,f166(f166(x22951,a2),x22952)),f12(f166(x22952,f166(x22952,x22952)),f166(f166(x22951,x22952),f166(x22952,f166(f166(x22951,a2),x22952))),f178(x22952,x22951),f216(x22952)),x22953),x22954),x22955),f12(f166(x22956,a2),x22952,f12(x22952,f166(f166(x22956,a2),x22952),f12(f166(x22956,x22952),f166(x22952,f166(f166(x22956,a2),x22952)),f12(f166(x22952,f166(x22952,x22952)),f166(f166(x22956,x22952),f166(x22952,f166(f166(x22956,a2),x22952))),f178(x22952,x22956),f216(x22952)),x22957),x22954),x22958))+P21(f12(f166(x22951,a2),a2,f12(x22951,f166(f166(x22951,a2),a2),f189(x22951),f68(x22951,x22956,x22952,x22954,x22953,x22957,x22959,x229510,x22955,x22958)),x22955))+~P21(f12(f166(x22951,a2),a2,f12(x22951,f166(f166(x22951,a2),a2),f189(x22951),f12(x22956,x22951,x22959,f69(x22951,x22956,x22952,x22954,x22953,x22957,x22959,x229510,x22955,x22958))),x22955))
% 19.04/19.07 [2296]~P14(x22962)+~E(f12(x22966,x22961,x22969,f12(x22961,x22966,x229610,f68(x22961,x22966,x22962,x22964,x22963,x22967,x22969,x229610,x22965,x22968))),f12(x22961,x22961,f7(x22961),f68(x22961,x22966,x22962,x22964,x22963,x22967,x22969,x229610,x22965,x22968)))+~E(f12(x22961,x22962,x22963,f12(x22966,x22961,x22969,f69(x22961,x22966,x22962,x22964,x22963,x22967,x22969,x229610,x22965,x22968))),f12(x22966,x22962,x22967,f69(x22961,x22966,x22962,x22964,x22963,x22967,x22969,x229610,x22965,x22968)))+~E(f12(x22961,x22966,x229610,f12(x22966,x22961,x22969,f69(x22961,x22966,x22962,x22964,x22963,x22967,x22969,x229610,x22965,x22968))),f12(x22966,x22966,f7(x22966),f69(x22961,x22966,x22962,x22964,x22963,x22967,x22969,x229610,x22965,x22968)))+~P21(f12(f166(x22966,a2),a2,f175(x22966),x22968))+E(f12(f166(x22961,a2),x22962,f12(x22962,f166(f166(x22961,a2),x22962),f12(f166(x22961,x22962),f166(x22962,f166(f166(x22961,a2),x22962)),f12(f166(x22962,f166(x22962,x22962)),f166(f166(x22961,x22962),f166(x22962,f166(f166(x22961,a2),x22962))),f178(x22962,x22961),f216(x22962)),x22963),x22964),x22965),f12(f166(x22966,a2),x22962,f12(x22962,f166(f166(x22966,a2),x22962),f12(f166(x22966,x22962),f166(x22962,f166(f166(x22966,a2),x22962)),f12(f166(x22962,f166(x22962,x22962)),f166(f166(x22966,x22962),f166(x22962,f166(f166(x22966,a2),x22962))),f178(x22962,x22966),f216(x22962)),x22967),x22964),x22968))+~P21(f12(f166(x22966,a2),a2,f12(x22966,f166(f166(x22966,a2),a2),f189(x22966),f12(x22961,x22966,x229610,f68(x22961,x22966,x22962,x22964,x22963,x22967,x22969,x229610,x22965,x22968))),x22968))+~P21(f12(f166(x22961,a2),a2,f12(x22961,f166(f166(x22961,a2),a2),f189(x22961),f12(x22966,x22961,x22969,f69(x22961,x22966,x22962,x22964,x22963,x22967,x22969,x229610,x22965,x22968))),x22965))
% 19.04/19.07 %EqnAxiom
% 19.04/19.07 [1]E(x11,x11)
% 19.04/19.07 [2]E(x22,x21)+~E(x21,x22)
% 19.04/19.07 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 19.04/19.07 [4]~E(x41,x42)+E(f183(x41),f183(x42))
% 19.04/19.07 [5]~E(x51,x52)+E(f6(x51),f6(x52))
% 19.04/19.07 [6]~E(x61,x62)+E(f12(x61,x63,x64,x65),f12(x62,x63,x64,x65))
% 19.04/19.07 [7]~E(x71,x72)+E(f12(x73,x71,x74,x75),f12(x73,x72,x74,x75))
% 19.04/19.07 [8]~E(x81,x82)+E(f12(x83,x84,x81,x85),f12(x83,x84,x82,x85))
% 19.04/19.07 [9]~E(x91,x92)+E(f12(x93,x94,x95,x91),f12(x93,x94,x95,x92))
% 19.04/19.07 [10]~E(x101,x102)+E(f7(x101),f7(x102))
% 19.04/19.07 [11]~E(x111,x112)+E(f166(x111,x113),f166(x112,x113))
% 19.04/19.07 [12]~E(x121,x122)+E(f166(x123,x121),f166(x123,x122))
% 19.04/19.07 [13]~E(x131,x132)+E(f195(x131),f195(x132))
% 19.04/19.07 [14]~E(x141,x142)+E(f199(x141),f199(x142))
% 19.04/19.07 [15]~E(x151,x152)+E(f216(x151),f216(x152))
% 19.04/19.07 [16]~E(x161,x162)+E(f200(x161),f200(x162))
% 19.04/19.07 [17]~E(x171,x172)+E(f178(x171,x173),f178(x172,x173))
% 19.04/19.07 [18]~E(x181,x182)+E(f178(x183,x181),f178(x183,x182))
% 19.04/19.07 [19]~E(x191,x192)+E(f11(x191,x193,x194),f11(x192,x193,x194))
% 19.04/19.07 [20]~E(x201,x202)+E(f11(x203,x201,x204),f11(x203,x202,x204))
% 19.04/19.07 [21]~E(x211,x212)+E(f11(x213,x214,x211),f11(x213,x214,x212))
% 19.04/19.07 [22]~E(x221,x222)+E(f193(x221),f193(x222))
% 19.04/19.07 [23]~E(x231,x232)+E(f213(x231,x233),f213(x232,x233))
% 19.04/19.07 [24]~E(x241,x242)+E(f213(x243,x241),f213(x243,x242))
% 19.04/19.07 [25]~E(x251,x252)+E(f191(x251),f191(x252))
% 19.04/19.07 [26]~E(x261,x262)+E(f171(x261),f171(x262))
% 19.04/19.07 [27]~E(x271,x272)+E(f167(x271),f167(x272))
% 19.04/19.07 [28]~E(x281,x282)+E(f10(x281,x283,x284),f10(x282,x283,x284))
% 19.04/19.07 [29]~E(x291,x292)+E(f10(x293,x291,x294),f10(x293,x292,x294))
% 19.04/19.07 [30]~E(x301,x302)+E(f10(x303,x304,x301),f10(x303,x304,x302))
% 19.04/19.07 [31]~E(x311,x312)+E(f48(x311,x313),f48(x312,x313))
% 19.04/19.07 [32]~E(x321,x322)+E(f48(x323,x321),f48(x323,x322))
% 19.04/19.07 [33]~E(x331,x332)+E(f83(x331,x333,x334,x335),f83(x332,x333,x334,x335))
% 19.04/19.07 [34]~E(x341,x342)+E(f83(x343,x341,x344,x345),f83(x343,x342,x344,x345))
% 19.04/19.07 [35]~E(x351,x352)+E(f83(x353,x354,x351,x355),f83(x353,x354,x352,x355))
% 19.04/19.07 [36]~E(x361,x362)+E(f83(x363,x364,x365,x361),f83(x363,x364,x365,x362))
% 19.04/19.07 [37]~E(x371,x372)+E(f203(x371),f203(x372))
% 19.04/19.07 [38]~E(x381,x382)+E(f189(x381),f189(x382))
% 19.04/19.07 [39]~E(x391,x392)+E(f206(x391),f206(x392))
% 19.04/19.07 [40]~E(x401,x402)+E(f181(x401,x403),f181(x402,x403))
% 19.04/19.07 [41]~E(x411,x412)+E(f181(x413,x411),f181(x413,x412))
% 19.04/19.07 [42]~E(x421,x422)+E(f69(x421,x423,x424,x425,x426,x427,x428,x429,x4210,x4211),f69(x422,x423,x424,x425,x426,x427,x428,x429,x4210,x4211))
% 19.04/19.07 [43]~E(x431,x432)+E(f69(x433,x431,x434,x435,x436,x437,x438,x439,x4310,x4311),f69(x433,x432,x434,x435,x436,x437,x438,x439,x4310,x4311))
% 19.04/19.07 [44]~E(x441,x442)+E(f69(x443,x444,x441,x445,x446,x447,x448,x449,x4410,x4411),f69(x443,x444,x442,x445,x446,x447,x448,x449,x4410,x4411))
% 19.04/19.07 [45]~E(x451,x452)+E(f69(x453,x454,x455,x451,x456,x457,x458,x459,x4510,x4511),f69(x453,x454,x455,x452,x456,x457,x458,x459,x4510,x4511))
% 19.04/19.07 [46]~E(x461,x462)+E(f69(x463,x464,x465,x466,x461,x467,x468,x469,x4610,x4611),f69(x463,x464,x465,x466,x462,x467,x468,x469,x4610,x4611))
% 19.04/19.07 [47]~E(x471,x472)+E(f69(x473,x474,x475,x476,x477,x471,x478,x479,x4710,x4711),f69(x473,x474,x475,x476,x477,x472,x478,x479,x4710,x4711))
% 19.04/19.07 [48]~E(x481,x482)+E(f69(x483,x484,x485,x486,x487,x488,x481,x489,x4810,x4811),f69(x483,x484,x485,x486,x487,x488,x482,x489,x4810,x4811))
% 19.04/19.07 [49]~E(x491,x492)+E(f69(x493,x494,x495,x496,x497,x498,x499,x491,x4910,x4911),f69(x493,x494,x495,x496,x497,x498,x499,x492,x4910,x4911))
% 19.04/19.07 [50]~E(x501,x502)+E(f69(x503,x504,x505,x506,x507,x508,x509,x5010,x501,x5011),f69(x503,x504,x505,x506,x507,x508,x509,x5010,x502,x5011))
% 19.04/19.07 [51]~E(x511,x512)+E(f69(x513,x514,x515,x516,x517,x518,x519,x5110,x5111,x511),f69(x513,x514,x515,x516,x517,x518,x519,x5110,x5111,x512))
% 19.04/19.07 [52]~E(x521,x522)+E(f175(x521),f175(x522))
% 19.04/19.07 [53]~E(x531,x532)+E(f38(x531,x533,x534),f38(x532,x533,x534))
% 19.04/19.07 [54]~E(x541,x542)+E(f38(x543,x541,x544),f38(x543,x542,x544))
% 19.04/19.07 [55]~E(x551,x552)+E(f38(x553,x554,x551),f38(x553,x554,x552))
% 19.04/19.07 [56]~E(x561,x562)+E(f64(x561,x563,x564,x565,x566,x567,x568),f64(x562,x563,x564,x565,x566,x567,x568))
% 19.04/19.07 [57]~E(x571,x572)+E(f64(x573,x571,x574,x575,x576,x577,x578),f64(x573,x572,x574,x575,x576,x577,x578))
% 19.04/19.07 [58]~E(x581,x582)+E(f64(x583,x584,x581,x585,x586,x587,x588),f64(x583,x584,x582,x585,x586,x587,x588))
% 19.04/19.07 [59]~E(x591,x592)+E(f64(x593,x594,x595,x591,x596,x597,x598),f64(x593,x594,x595,x592,x596,x597,x598))
% 19.04/19.07 [60]~E(x601,x602)+E(f64(x603,x604,x605,x606,x601,x607,x608),f64(x603,x604,x605,x606,x602,x607,x608))
% 19.04/19.07 [61]~E(x611,x612)+E(f64(x613,x614,x615,x616,x617,x611,x618),f64(x613,x614,x615,x616,x617,x612,x618))
% 19.04/19.07 [62]~E(x621,x622)+E(f64(x623,x624,x625,x626,x627,x628,x621),f64(x623,x624,x625,x626,x627,x628,x622))
% 19.04/19.07 [63]~E(x631,x632)+E(f205(x631),f205(x632))
% 19.04/19.07 [64]~E(x641,x642)+E(f102(x641,x643),f102(x642,x643))
% 19.04/19.07 [65]~E(x651,x652)+E(f102(x653,x651),f102(x653,x652))
% 19.04/19.07 [66]~E(x661,x662)+E(f95(x661,x663,x664,x665),f95(x662,x663,x664,x665))
% 19.04/19.07 [67]~E(x671,x672)+E(f95(x673,x671,x674,x675),f95(x673,x672,x674,x675))
% 19.04/19.07 [68]~E(x681,x682)+E(f95(x683,x684,x681,x685),f95(x683,x684,x682,x685))
% 19.04/19.07 [69]~E(x691,x692)+E(f95(x693,x694,x695,x691),f95(x693,x694,x695,x692))
% 19.04/19.07 [70]~E(x701,x702)+E(f190(x701),f190(x702))
% 19.04/19.07 [71]~E(x711,x712)+E(f139(x711,x713,x714,x715,x716,x717),f139(x712,x713,x714,x715,x716,x717))
% 19.04/19.07 [72]~E(x721,x722)+E(f139(x723,x721,x724,x725,x726,x727),f139(x723,x722,x724,x725,x726,x727))
% 19.04/19.07 [73]~E(x731,x732)+E(f139(x733,x734,x731,x735,x736,x737),f139(x733,x734,x732,x735,x736,x737))
% 19.04/19.07 [74]~E(x741,x742)+E(f139(x743,x744,x745,x741,x746,x747),f139(x743,x744,x745,x742,x746,x747))
% 19.04/19.07 [75]~E(x751,x752)+E(f139(x753,x754,x755,x756,x751,x757),f139(x753,x754,x755,x756,x752,x757))
% 19.04/19.07 [76]~E(x761,x762)+E(f139(x763,x764,x765,x766,x767,x761),f139(x763,x764,x765,x766,x767,x762))
% 19.04/19.07 [77]~E(x771,x772)+E(f182(x771),f182(x772))
% 19.04/19.07 [78]~E(x781,x782)+E(f214(x781,x783),f214(x782,x783))
% 19.04/19.07 [79]~E(x791,x792)+E(f214(x793,x791),f214(x793,x792))
% 19.04/19.07 [80]~E(x801,x802)+E(f15(x801,x803,x804),f15(x802,x803,x804))
% 19.04/19.07 [81]~E(x811,x812)+E(f15(x813,x811,x814),f15(x813,x812,x814))
% 19.04/19.07 [82]~E(x821,x822)+E(f15(x823,x824,x821),f15(x823,x824,x822))
% 19.04/19.07 [83]~E(x831,x832)+E(f18(x831,x833,x834),f18(x832,x833,x834))
% 19.04/19.07 [84]~E(x841,x842)+E(f18(x843,x841,x844),f18(x843,x842,x844))
% 19.04/19.07 [85]~E(x851,x852)+E(f18(x853,x854,x851),f18(x853,x854,x852))
% 19.04/19.07 [86]~E(x861,x862)+E(f44(x861,x863,x864,x865),f44(x862,x863,x864,x865))
% 19.04/19.07 [87]~E(x871,x872)+E(f44(x873,x871,x874,x875),f44(x873,x872,x874,x875))
% 19.04/19.07 [88]~E(x881,x882)+E(f44(x883,x884,x881,x885),f44(x883,x884,x882,x885))
% 19.04/19.07 [89]~E(x891,x892)+E(f44(x893,x894,x895,x891),f44(x893,x894,x895,x892))
% 19.04/19.07 [90]~E(x901,x902)+E(f73(x901,x903,x904,x905),f73(x902,x903,x904,x905))
% 19.04/19.07 [91]~E(x911,x912)+E(f73(x913,x911,x914,x915),f73(x913,x912,x914,x915))
% 19.04/19.07 [92]~E(x921,x922)+E(f73(x923,x924,x921,x925),f73(x923,x924,x922,x925))
% 19.04/19.07 [93]~E(x931,x932)+E(f73(x933,x934,x935,x931),f73(x933,x934,x935,x932))
% 19.04/19.07 [94]~E(x941,x942)+E(f141(x941,x943,x944,x945,x946,x947),f141(x942,x943,x944,x945,x946,x947))
% 19.04/19.07 [95]~E(x951,x952)+E(f141(x953,x951,x954,x955,x956,x957),f141(x953,x952,x954,x955,x956,x957))
% 19.04/19.07 [96]~E(x961,x962)+E(f141(x963,x964,x961,x965,x966,x967),f141(x963,x964,x962,x965,x966,x967))
% 19.04/19.07 [97]~E(x971,x972)+E(f141(x973,x974,x975,x971,x976,x977),f141(x973,x974,x975,x972,x976,x977))
% 19.04/19.07 [98]~E(x981,x982)+E(f141(x983,x984,x985,x986,x981,x987),f141(x983,x984,x985,x986,x982,x987))
% 19.04/19.07 [99]~E(x991,x992)+E(f141(x993,x994,x995,x996,x997,x991),f141(x993,x994,x995,x996,x997,x992))
% 19.04/19.07 [100]~E(x1001,x1002)+E(f142(x1001,x1003,x1004,x1005,x1006,x1007),f142(x1002,x1003,x1004,x1005,x1006,x1007))
% 19.04/19.07 [101]~E(x1011,x1012)+E(f142(x1013,x1011,x1014,x1015,x1016,x1017),f142(x1013,x1012,x1014,x1015,x1016,x1017))
% 19.04/19.07 [102]~E(x1021,x1022)+E(f142(x1023,x1024,x1021,x1025,x1026,x1027),f142(x1023,x1024,x1022,x1025,x1026,x1027))
% 19.04/19.07 [103]~E(x1031,x1032)+E(f142(x1033,x1034,x1035,x1031,x1036,x1037),f142(x1033,x1034,x1035,x1032,x1036,x1037))
% 19.04/19.07 [104]~E(x1041,x1042)+E(f142(x1043,x1044,x1045,x1046,x1041,x1047),f142(x1043,x1044,x1045,x1046,x1042,x1047))
% 19.04/19.07 [105]~E(x1051,x1052)+E(f142(x1053,x1054,x1055,x1056,x1057,x1051),f142(x1053,x1054,x1055,x1056,x1057,x1052))
% 19.04/19.07 [106]~E(x1061,x1062)+E(f9(x1061),f9(x1062))
% 19.04/19.07 [107]~E(x1071,x1072)+E(f112(x1071,x1073,x1074),f112(x1072,x1073,x1074))
% 19.04/19.07 [108]~E(x1081,x1082)+E(f112(x1083,x1081,x1084),f112(x1083,x1082,x1084))
% 19.04/19.07 [109]~E(x1091,x1092)+E(f112(x1093,x1094,x1091),f112(x1093,x1094,x1092))
% 19.04/19.07 [110]~E(x1101,x1102)+E(f173(x1101,x1103),f173(x1102,x1103))
% 19.04/19.07 [111]~E(x1111,x1112)+E(f173(x1113,x1111),f173(x1113,x1112))
% 19.04/19.07 [112]~E(x1121,x1122)+E(f153(x1121,x1123),f153(x1122,x1123))
% 19.04/19.07 [113]~E(x1131,x1132)+E(f153(x1133,x1131),f153(x1133,x1132))
% 19.04/19.07 [114]~E(x1141,x1142)+E(f208(x1141),f208(x1142))
% 19.04/19.07 [115]~E(x1151,x1152)+E(f4(x1151),f4(x1152))
% 19.04/19.07 [116]~E(x1161,x1162)+E(f67(x1161,x1163,x1164,x1165,x1166,x1167,x1168),f67(x1162,x1163,x1164,x1165,x1166,x1167,x1168))
% 19.04/19.07 [117]~E(x1171,x1172)+E(f67(x1173,x1171,x1174,x1175,x1176,x1177,x1178),f67(x1173,x1172,x1174,x1175,x1176,x1177,x1178))
% 19.04/19.07 [118]~E(x1181,x1182)+E(f67(x1183,x1184,x1181,x1185,x1186,x1187,x1188),f67(x1183,x1184,x1182,x1185,x1186,x1187,x1188))
% 19.04/19.07 [119]~E(x1191,x1192)+E(f67(x1193,x1194,x1195,x1191,x1196,x1197,x1198),f67(x1193,x1194,x1195,x1192,x1196,x1197,x1198))
% 19.04/19.07 [120]~E(x1201,x1202)+E(f67(x1203,x1204,x1205,x1206,x1201,x1207,x1208),f67(x1203,x1204,x1205,x1206,x1202,x1207,x1208))
% 19.04/19.07 [121]~E(x1211,x1212)+E(f67(x1213,x1214,x1215,x1216,x1217,x1211,x1218),f67(x1213,x1214,x1215,x1216,x1217,x1212,x1218))
% 19.04/19.07 [122]~E(x1221,x1222)+E(f67(x1223,x1224,x1225,x1226,x1227,x1228,x1221),f67(x1223,x1224,x1225,x1226,x1227,x1228,x1222))
% 19.04/19.07 [123]~E(x1231,x1232)+E(f19(x1231,x1233,x1234),f19(x1232,x1233,x1234))
% 19.04/19.07 [124]~E(x1241,x1242)+E(f19(x1243,x1241,x1244),f19(x1243,x1242,x1244))
% 19.04/19.07 [125]~E(x1251,x1252)+E(f19(x1253,x1254,x1251),f19(x1253,x1254,x1252))
% 19.04/19.07 [126]~E(x1261,x1262)+E(f35(x1261),f35(x1262))
% 19.04/19.07 [127]~E(x1271,x1272)+E(f94(x1271,x1273,x1274),f94(x1272,x1273,x1274))
% 19.04/19.07 [128]~E(x1281,x1282)+E(f94(x1283,x1281,x1284),f94(x1283,x1282,x1284))
% 19.04/19.07 [129]~E(x1291,x1292)+E(f94(x1293,x1294,x1291),f94(x1293,x1294,x1292))
% 19.04/19.07 [130]~E(x1301,x1302)+E(f21(x1301,x1303,x1304),f21(x1302,x1303,x1304))
% 19.04/19.07 [131]~E(x1311,x1312)+E(f21(x1313,x1311,x1314),f21(x1313,x1312,x1314))
% 19.04/19.07 [132]~E(x1321,x1322)+E(f21(x1323,x1324,x1321),f21(x1323,x1324,x1322))
% 19.04/19.07 [133]~E(x1331,x1332)+E(f63(x1331,x1333,x1334,x1335,x1336,x1337,x1338),f63(x1332,x1333,x1334,x1335,x1336,x1337,x1338))
% 19.04/19.07 [134]~E(x1341,x1342)+E(f63(x1343,x1341,x1344,x1345,x1346,x1347,x1348),f63(x1343,x1342,x1344,x1345,x1346,x1347,x1348))
% 19.04/19.07 [135]~E(x1351,x1352)+E(f63(x1353,x1354,x1351,x1355,x1356,x1357,x1358),f63(x1353,x1354,x1352,x1355,x1356,x1357,x1358))
% 19.04/19.07 [136]~E(x1361,x1362)+E(f63(x1363,x1364,x1365,x1361,x1366,x1367,x1368),f63(x1363,x1364,x1365,x1362,x1366,x1367,x1368))
% 19.04/19.07 [137]~E(x1371,x1372)+E(f63(x1373,x1374,x1375,x1376,x1371,x1377,x1378),f63(x1373,x1374,x1375,x1376,x1372,x1377,x1378))
% 19.04/19.07 [138]~E(x1381,x1382)+E(f63(x1383,x1384,x1385,x1386,x1387,x1381,x1388),f63(x1383,x1384,x1385,x1386,x1387,x1382,x1388))
% 19.04/19.07 [139]~E(x1391,x1392)+E(f63(x1393,x1394,x1395,x1396,x1397,x1398,x1391),f63(x1393,x1394,x1395,x1396,x1397,x1398,x1392))
% 19.04/19.07 [140]~E(x1401,x1402)+E(f152(x1401,x1403,x1404),f152(x1402,x1403,x1404))
% 19.04/19.07 [141]~E(x1411,x1412)+E(f152(x1413,x1411,x1414),f152(x1413,x1412,x1414))
% 19.04/19.07 [142]~E(x1421,x1422)+E(f152(x1423,x1424,x1421),f152(x1423,x1424,x1422))
% 19.04/19.07 [143]~E(x1431,x1432)+E(f155(x1431,x1433,x1434,x1435),f155(x1432,x1433,x1434,x1435))
% 19.04/19.07 [144]~E(x1441,x1442)+E(f155(x1443,x1441,x1444,x1445),f155(x1443,x1442,x1444,x1445))
% 19.04/19.07 [145]~E(x1451,x1452)+E(f155(x1453,x1454,x1451,x1455),f155(x1453,x1454,x1452,x1455))
% 19.04/19.07 [146]~E(x1461,x1462)+E(f155(x1463,x1464,x1465,x1461),f155(x1463,x1464,x1465,x1462))
% 19.04/19.07 [147]~E(x1471,x1472)+E(f56(x1471,x1473),f56(x1472,x1473))
% 19.04/19.07 [148]~E(x1481,x1482)+E(f56(x1483,x1481),f56(x1483,x1482))
% 19.04/19.07 [149]~E(x1491,x1492)+E(f148(x1491,x1493),f148(x1492,x1493))
% 19.04/19.07 [150]~E(x1501,x1502)+E(f148(x1503,x1501),f148(x1503,x1502))
% 19.04/19.07 [151]~E(x1511,x1512)+E(f72(x1511,x1513,x1514,x1515),f72(x1512,x1513,x1514,x1515))
% 19.04/19.07 [152]~E(x1521,x1522)+E(f72(x1523,x1521,x1524,x1525),f72(x1523,x1522,x1524,x1525))
% 19.04/19.07 [153]~E(x1531,x1532)+E(f72(x1533,x1534,x1531,x1535),f72(x1533,x1534,x1532,x1535))
% 19.04/19.07 [154]~E(x1541,x1542)+E(f72(x1543,x1544,x1545,x1541),f72(x1543,x1544,x1545,x1542))
% 19.04/19.07 [155]~E(x1551,x1552)+E(f68(x1551,x1553,x1554,x1555,x1556,x1557,x1558,x1559,x15510,x15511),f68(x1552,x1553,x1554,x1555,x1556,x1557,x1558,x1559,x15510,x15511))
% 19.04/19.07 [156]~E(x1561,x1562)+E(f68(x1563,x1561,x1564,x1565,x1566,x1567,x1568,x1569,x15610,x15611),f68(x1563,x1562,x1564,x1565,x1566,x1567,x1568,x1569,x15610,x15611))
% 19.04/19.07 [157]~E(x1571,x1572)+E(f68(x1573,x1574,x1571,x1575,x1576,x1577,x1578,x1579,x15710,x15711),f68(x1573,x1574,x1572,x1575,x1576,x1577,x1578,x1579,x15710,x15711))
% 19.04/19.07 [158]~E(x1581,x1582)+E(f68(x1583,x1584,x1585,x1581,x1586,x1587,x1588,x1589,x15810,x15811),f68(x1583,x1584,x1585,x1582,x1586,x1587,x1588,x1589,x15810,x15811))
% 19.04/19.07 [159]~E(x1591,x1592)+E(f68(x1593,x1594,x1595,x1596,x1591,x1597,x1598,x1599,x15910,x15911),f68(x1593,x1594,x1595,x1596,x1592,x1597,x1598,x1599,x15910,x15911))
% 19.04/19.07 [160]~E(x1601,x1602)+E(f68(x1603,x1604,x1605,x1606,x1607,x1601,x1608,x1609,x16010,x16011),f68(x1603,x1604,x1605,x1606,x1607,x1602,x1608,x1609,x16010,x16011))
% 19.04/19.07 [161]~E(x1611,x1612)+E(f68(x1613,x1614,x1615,x1616,x1617,x1618,x1611,x1619,x16110,x16111),f68(x1613,x1614,x1615,x1616,x1617,x1618,x1612,x1619,x16110,x16111))
% 19.04/19.07 [162]~E(x1621,x1622)+E(f68(x1623,x1624,x1625,x1626,x1627,x1628,x1629,x1621,x16210,x16211),f68(x1623,x1624,x1625,x1626,x1627,x1628,x1629,x1622,x16210,x16211))
% 19.04/19.07 [163]~E(x1631,x1632)+E(f68(x1633,x1634,x1635,x1636,x1637,x1638,x1639,x16310,x1631,x16311),f68(x1633,x1634,x1635,x1636,x1637,x1638,x1639,x16310,x1632,x16311))
% 19.04/19.07 [164]~E(x1641,x1642)+E(f68(x1643,x1644,x1645,x1646,x1647,x1648,x1649,x16410,x16411,x1641),f68(x1643,x1644,x1645,x1646,x1647,x1648,x1649,x16410,x16411,x1642))
% 19.04/19.07 [165]~E(x1651,x1652)+E(f131(x1651,x1653,x1654,x1655,x1656,x1657),f131(x1652,x1653,x1654,x1655,x1656,x1657))
% 19.04/19.07 [166]~E(x1661,x1662)+E(f131(x1663,x1661,x1664,x1665,x1666,x1667),f131(x1663,x1662,x1664,x1665,x1666,x1667))
% 19.04/19.07 [167]~E(x1671,x1672)+E(f131(x1673,x1674,x1671,x1675,x1676,x1677),f131(x1673,x1674,x1672,x1675,x1676,x1677))
% 19.04/19.07 [168]~E(x1681,x1682)+E(f131(x1683,x1684,x1685,x1681,x1686,x1687),f131(x1683,x1684,x1685,x1682,x1686,x1687))
% 19.04/19.07 [169]~E(x1691,x1692)+E(f131(x1693,x1694,x1695,x1696,x1691,x1697),f131(x1693,x1694,x1695,x1696,x1692,x1697))
% 19.04/19.07 [170]~E(x1701,x1702)+E(f131(x1703,x1704,x1705,x1706,x1707,x1701),f131(x1703,x1704,x1705,x1706,x1707,x1702))
% 19.04/19.07 [171]~E(x1711,x1712)+E(f84(x1711,x1713,x1714,x1715),f84(x1712,x1713,x1714,x1715))
% 19.04/19.07 [172]~E(x1721,x1722)+E(f84(x1723,x1721,x1724,x1725),f84(x1723,x1722,x1724,x1725))
% 19.04/19.07 [173]~E(x1731,x1732)+E(f84(x1733,x1734,x1731,x1735),f84(x1733,x1734,x1732,x1735))
% 19.04/19.07 [174]~E(x1741,x1742)+E(f84(x1743,x1744,x1745,x1741),f84(x1743,x1744,x1745,x1742))
% 19.04/19.07 [175]~E(x1751,x1752)+E(f106(x1751,x1753,x1754,x1755),f106(x1752,x1753,x1754,x1755))
% 19.04/19.07 [176]~E(x1761,x1762)+E(f106(x1763,x1761,x1764,x1765),f106(x1763,x1762,x1764,x1765))
% 19.04/19.07 [177]~E(x1771,x1772)+E(f106(x1773,x1774,x1771,x1775),f106(x1773,x1774,x1772,x1775))
% 19.04/19.07 [178]~E(x1781,x1782)+E(f106(x1783,x1784,x1785,x1781),f106(x1783,x1784,x1785,x1782))
% 19.04/19.07 [179]~E(x1791,x1792)+E(f172(x1791),f172(x1792))
% 19.04/19.07 [180]~E(x1801,x1802)+E(f41(x1801,x1803,x1804),f41(x1802,x1803,x1804))
% 19.04/19.07 [181]~E(x1811,x1812)+E(f41(x1813,x1811,x1814),f41(x1813,x1812,x1814))
% 19.04/19.07 [182]~E(x1821,x1822)+E(f41(x1823,x1824,x1821),f41(x1823,x1824,x1822))
% 19.04/19.07 [183]~E(x1831,x1832)+E(f150(x1831,x1833,x1834),f150(x1832,x1833,x1834))
% 19.04/19.07 [184]~E(x1841,x1842)+E(f150(x1843,x1841,x1844),f150(x1843,x1842,x1844))
% 19.04/19.07 [185]~E(x1851,x1852)+E(f150(x1853,x1854,x1851),f150(x1853,x1854,x1852))
% 19.04/19.07 [186]~E(x1861,x1862)+E(f117(x1861,x1863,x1864,x1865),f117(x1862,x1863,x1864,x1865))
% 19.04/19.07 [187]~E(x1871,x1872)+E(f117(x1873,x1871,x1874,x1875),f117(x1873,x1872,x1874,x1875))
% 19.04/19.07 [188]~E(x1881,x1882)+E(f117(x1883,x1884,x1881,x1885),f117(x1883,x1884,x1882,x1885))
% 19.04/19.07 [189]~E(x1891,x1892)+E(f117(x1893,x1894,x1895,x1891),f117(x1893,x1894,x1895,x1892))
% 19.04/19.07 [190]~E(x1901,x1902)+E(f147(x1901,x1903,x1904,x1905,x1906,x1907),f147(x1902,x1903,x1904,x1905,x1906,x1907))
% 19.04/19.07 [191]~E(x1911,x1912)+E(f147(x1913,x1911,x1914,x1915,x1916,x1917),f147(x1913,x1912,x1914,x1915,x1916,x1917))
% 19.04/19.07 [192]~E(x1921,x1922)+E(f147(x1923,x1924,x1921,x1925,x1926,x1927),f147(x1923,x1924,x1922,x1925,x1926,x1927))
% 19.04/19.07 [193]~E(x1931,x1932)+E(f147(x1933,x1934,x1935,x1931,x1936,x1937),f147(x1933,x1934,x1935,x1932,x1936,x1937))
% 19.04/19.07 [194]~E(x1941,x1942)+E(f147(x1943,x1944,x1945,x1946,x1941,x1947),f147(x1943,x1944,x1945,x1946,x1942,x1947))
% 19.04/19.07 [195]~E(x1951,x1952)+E(f147(x1953,x1954,x1955,x1956,x1957,x1951),f147(x1953,x1954,x1955,x1956,x1957,x1952))
% 19.04/19.07 [196]~E(x1961,x1962)+E(f71(x1961,x1963,x1964),f71(x1962,x1963,x1964))
% 19.04/19.07 [197]~E(x1971,x1972)+E(f71(x1973,x1971,x1974),f71(x1973,x1972,x1974))
% 19.04/19.07 [198]~E(x1981,x1982)+E(f71(x1983,x1984,x1981),f71(x1983,x1984,x1982))
% 19.04/19.07 [199]~E(x1991,x1992)+E(f110(x1991,x1993,x1994),f110(x1992,x1993,x1994))
% 19.04/19.07 [200]~E(x2001,x2002)+E(f110(x2003,x2001,x2004),f110(x2003,x2002,x2004))
% 19.04/19.07 [201]~E(x2011,x2012)+E(f110(x2013,x2014,x2011),f110(x2013,x2014,x2012))
% 19.04/19.07 [202]~E(x2021,x2022)+E(f90(x2021,x2023),f90(x2022,x2023))
% 19.04/19.07 [203]~E(x2031,x2032)+E(f90(x2033,x2031),f90(x2033,x2032))
% 19.04/19.07 [204]~E(x2041,x2042)+E(f47(x2041),f47(x2042))
% 19.04/19.07 [205]~E(x2051,x2052)+E(f39(x2051,x2053,x2054),f39(x2052,x2053,x2054))
% 19.04/19.07 [206]~E(x2061,x2062)+E(f39(x2063,x2061,x2064),f39(x2063,x2062,x2064))
% 19.04/19.07 [207]~E(x2071,x2072)+E(f39(x2073,x2074,x2071),f39(x2073,x2074,x2072))
% 19.04/19.07 [208]~E(x2081,x2082)+E(f61(x2081,x2083,x2084),f61(x2082,x2083,x2084))
% 19.04/19.07 [209]~E(x2091,x2092)+E(f61(x2093,x2091,x2094),f61(x2093,x2092,x2094))
% 19.04/19.07 [210]~E(x2101,x2102)+E(f61(x2103,x2104,x2101),f61(x2103,x2104,x2102))
% 19.04/19.07 [211]~E(x2111,x2112)+E(f60(x2111,x2113,x2114),f60(x2112,x2113,x2114))
% 19.04/19.07 [212]~E(x2121,x2122)+E(f60(x2123,x2121,x2124),f60(x2123,x2122,x2124))
% 19.04/19.07 [213]~E(x2131,x2132)+E(f60(x2133,x2134,x2131),f60(x2133,x2134,x2132))
% 19.04/19.07 [214]~E(x2141,x2142)+E(f26(x2141,x2143,x2144,x2145,x2146,x2147),f26(x2142,x2143,x2144,x2145,x2146,x2147))
% 19.04/19.07 [215]~E(x2151,x2152)+E(f26(x2153,x2151,x2154,x2155,x2156,x2157),f26(x2153,x2152,x2154,x2155,x2156,x2157))
% 19.04/19.07 [216]~E(x2161,x2162)+E(f26(x2163,x2164,x2161,x2165,x2166,x2167),f26(x2163,x2164,x2162,x2165,x2166,x2167))
% 19.04/19.07 [217]~E(x2171,x2172)+E(f26(x2173,x2174,x2175,x2171,x2176,x2177),f26(x2173,x2174,x2175,x2172,x2176,x2177))
% 19.04/19.07 [218]~E(x2181,x2182)+E(f26(x2183,x2184,x2185,x2186,x2181,x2187),f26(x2183,x2184,x2185,x2186,x2182,x2187))
% 19.04/19.07 [219]~E(x2191,x2192)+E(f26(x2193,x2194,x2195,x2196,x2197,x2191),f26(x2193,x2194,x2195,x2196,x2197,x2192))
% 19.04/19.07 [220]~E(x2201,x2202)+E(f91(x2201,x2203,x2204),f91(x2202,x2203,x2204))
% 19.04/19.07 [221]~E(x2211,x2212)+E(f91(x2213,x2211,x2214),f91(x2213,x2212,x2214))
% 19.04/19.07 [222]~E(x2221,x2222)+E(f91(x2223,x2224,x2221),f91(x2223,x2224,x2222))
% 19.04/19.07 [223]~E(x2231,x2232)+E(f122(x2231,x2233,x2234),f122(x2232,x2233,x2234))
% 19.04/19.07 [224]~E(x2241,x2242)+E(f122(x2243,x2241,x2244),f122(x2243,x2242,x2244))
% 19.04/19.07 [225]~E(x2251,x2252)+E(f122(x2253,x2254,x2251),f122(x2253,x2254,x2252))
% 19.04/19.07 [226]~E(x2261,x2262)+E(f40(x2261,x2263,x2264,x2265),f40(x2262,x2263,x2264,x2265))
% 19.04/19.07 [227]~E(x2271,x2272)+E(f40(x2273,x2271,x2274,x2275),f40(x2273,x2272,x2274,x2275))
% 19.04/19.07 [228]~E(x2281,x2282)+E(f40(x2283,x2284,x2281,x2285),f40(x2283,x2284,x2282,x2285))
% 19.04/19.07 [229]~E(x2291,x2292)+E(f40(x2293,x2294,x2295,x2291),f40(x2293,x2294,x2295,x2292))
% 19.04/19.07 [230]~E(x2301,x2302)+E(f93(x2301,x2303,x2304),f93(x2302,x2303,x2304))
% 19.04/19.07 [231]~E(x2311,x2312)+E(f93(x2313,x2311,x2314),f93(x2313,x2312,x2314))
% 19.04/19.07 [232]~E(x2321,x2322)+E(f93(x2323,x2324,x2321),f93(x2323,x2324,x2322))
% 19.04/19.07 [233]~E(x2331,x2332)+E(f149(x2331,x2333),f149(x2332,x2333))
% 19.04/19.07 [234]~E(x2341,x2342)+E(f149(x2343,x2341),f149(x2343,x2342))
% 19.04/19.07 [235]~E(x2351,x2352)+E(f70(x2351,x2353,x2354),f70(x2352,x2353,x2354))
% 19.04/19.07 [236]~E(x2361,x2362)+E(f70(x2363,x2361,x2364),f70(x2363,x2362,x2364))
% 19.04/19.07 [237]~E(x2371,x2372)+E(f70(x2373,x2374,x2371),f70(x2373,x2374,x2372))
% 19.04/19.07 [238]~E(x2381,x2382)+E(f32(x2381,x2383),f32(x2382,x2383))
% 19.04/19.07 [239]~E(x2391,x2392)+E(f32(x2393,x2391),f32(x2393,x2392))
% 19.04/19.07 [240]~E(x2401,x2402)+E(f212(x2401),f212(x2402))
% 19.04/19.07 [241]~E(x2411,x2412)+E(f49(x2411),f49(x2412))
% 19.04/19.07 [242]~E(x2421,x2422)+E(f121(x2421,x2423,x2424),f121(x2422,x2423,x2424))
% 19.04/19.07 [243]~E(x2431,x2432)+E(f121(x2433,x2431,x2434),f121(x2433,x2432,x2434))
% 19.04/19.07 [244]~E(x2441,x2442)+E(f121(x2443,x2444,x2441),f121(x2443,x2444,x2442))
% 19.04/19.07 [245]~E(x2451,x2452)+E(f124(x2451,x2453),f124(x2452,x2453))
% 19.04/19.07 [246]~E(x2461,x2462)+E(f124(x2463,x2461),f124(x2463,x2462))
% 19.04/19.07 [247]~E(x2471,x2472)+E(f100(x2471,x2473,x2474,x2475,x2476),f100(x2472,x2473,x2474,x2475,x2476))
% 19.04/19.07 [248]~E(x2481,x2482)+E(f100(x2483,x2481,x2484,x2485,x2486),f100(x2483,x2482,x2484,x2485,x2486))
% 19.04/19.07 [249]~E(x2491,x2492)+E(f100(x2493,x2494,x2491,x2495,x2496),f100(x2493,x2494,x2492,x2495,x2496))
% 19.04/19.07 [250]~E(x2501,x2502)+E(f100(x2503,x2504,x2505,x2501,x2506),f100(x2503,x2504,x2505,x2502,x2506))
% 19.04/19.07 [251]~E(x2511,x2512)+E(f100(x2513,x2514,x2515,x2516,x2511),f100(x2513,x2514,x2515,x2516,x2512))
% 19.04/19.07 [252]~E(x2521,x2522)+E(f31(x2521,x2523,x2524),f31(x2522,x2523,x2524))
% 19.04/19.07 [253]~E(x2531,x2532)+E(f31(x2533,x2531,x2534),f31(x2533,x2532,x2534))
% 19.04/19.07 [254]~E(x2541,x2542)+E(f31(x2543,x2544,x2541),f31(x2543,x2544,x2542))
% 19.04/19.07 [255]~E(x2551,x2552)+E(f134(x2551,x2553,x2554,x2555,x2556,x2557),f134(x2552,x2553,x2554,x2555,x2556,x2557))
% 19.04/19.07 [256]~E(x2561,x2562)+E(f134(x2563,x2561,x2564,x2565,x2566,x2567),f134(x2563,x2562,x2564,x2565,x2566,x2567))
% 19.04/19.07 [257]~E(x2571,x2572)+E(f134(x2573,x2574,x2571,x2575,x2576,x2577),f134(x2573,x2574,x2572,x2575,x2576,x2577))
% 19.04/19.07 [258]~E(x2581,x2582)+E(f134(x2583,x2584,x2585,x2581,x2586,x2587),f134(x2583,x2584,x2585,x2582,x2586,x2587))
% 19.04/19.07 [259]~E(x2591,x2592)+E(f134(x2593,x2594,x2595,x2596,x2591,x2597),f134(x2593,x2594,x2595,x2596,x2592,x2597))
% 19.04/19.07 [260]~E(x2601,x2602)+E(f134(x2603,x2604,x2605,x2606,x2607,x2601),f134(x2603,x2604,x2605,x2606,x2607,x2602))
% 19.04/19.07 [261]~E(x2611,x2612)+E(f30(x2611,x2613),f30(x2612,x2613))
% 19.04/19.07 [262]~E(x2621,x2622)+E(f30(x2623,x2621),f30(x2623,x2622))
% 19.04/19.07 [263]~E(x2631,x2632)+E(f96(x2631,x2633,x2634,x2635),f96(x2632,x2633,x2634,x2635))
% 19.04/19.07 [264]~E(x2641,x2642)+E(f96(x2643,x2641,x2644,x2645),f96(x2643,x2642,x2644,x2645))
% 19.04/19.07 [265]~E(x2651,x2652)+E(f96(x2653,x2654,x2651,x2655),f96(x2653,x2654,x2652,x2655))
% 19.04/19.07 [266]~E(x2661,x2662)+E(f96(x2663,x2664,x2665,x2661),f96(x2663,x2664,x2665,x2662))
% 19.04/19.07 [267]~E(x2671,x2672)+E(f42(x2671,x2673,x2674),f42(x2672,x2673,x2674))
% 19.04/19.07 [268]~E(x2681,x2682)+E(f42(x2683,x2681,x2684),f42(x2683,x2682,x2684))
% 19.04/19.07 [269]~E(x2691,x2692)+E(f42(x2693,x2694,x2691),f42(x2693,x2694,x2692))
% 19.04/19.07 [270]~E(x2701,x2702)+E(f111(x2701,x2703,x2704),f111(x2702,x2703,x2704))
% 19.04/19.07 [271]~E(x2711,x2712)+E(f111(x2713,x2711,x2714),f111(x2713,x2712,x2714))
% 19.04/19.07 [272]~E(x2721,x2722)+E(f111(x2723,x2724,x2721),f111(x2723,x2724,x2722))
% 19.04/19.07 [273]~E(x2731,x2732)+E(f53(x2731),f53(x2732))
% 19.04/19.07 [274]~E(x2741,x2742)+E(f29(x2741,x2743,x2744),f29(x2742,x2743,x2744))
% 19.04/19.07 [275]~E(x2751,x2752)+E(f29(x2753,x2751,x2754),f29(x2753,x2752,x2754))
% 19.04/19.07 [276]~E(x2761,x2762)+E(f29(x2763,x2764,x2761),f29(x2763,x2764,x2762))
% 19.04/19.07 [277]~E(x2771,x2772)+E(f143(x2771,x2773,x2774,x2775,x2776,x2777),f143(x2772,x2773,x2774,x2775,x2776,x2777))
% 19.04/19.07 [278]~E(x2781,x2782)+E(f143(x2783,x2781,x2784,x2785,x2786,x2787),f143(x2783,x2782,x2784,x2785,x2786,x2787))
% 19.04/19.07 [279]~E(x2791,x2792)+E(f143(x2793,x2794,x2791,x2795,x2796,x2797),f143(x2793,x2794,x2792,x2795,x2796,x2797))
% 19.04/19.07 [280]~E(x2801,x2802)+E(f143(x2803,x2804,x2805,x2801,x2806,x2807),f143(x2803,x2804,x2805,x2802,x2806,x2807))
% 19.04/19.07 [281]~E(x2811,x2812)+E(f143(x2813,x2814,x2815,x2816,x2811,x2817),f143(x2813,x2814,x2815,x2816,x2812,x2817))
% 19.04/19.07 [282]~E(x2821,x2822)+E(f143(x2823,x2824,x2825,x2826,x2827,x2821),f143(x2823,x2824,x2825,x2826,x2827,x2822))
% 19.04/19.07 [283]~E(x2831,x2832)+E(f128(x2831,x2833,x2834,x2835,x2836,x2837),f128(x2832,x2833,x2834,x2835,x2836,x2837))
% 19.04/19.07 [284]~E(x2841,x2842)+E(f128(x2843,x2841,x2844,x2845,x2846,x2847),f128(x2843,x2842,x2844,x2845,x2846,x2847))
% 19.04/19.07 [285]~E(x2851,x2852)+E(f128(x2853,x2854,x2851,x2855,x2856,x2857),f128(x2853,x2854,x2852,x2855,x2856,x2857))
% 19.04/19.07 [286]~E(x2861,x2862)+E(f128(x2863,x2864,x2865,x2861,x2866,x2867),f128(x2863,x2864,x2865,x2862,x2866,x2867))
% 19.04/19.07 [287]~E(x2871,x2872)+E(f128(x2873,x2874,x2875,x2876,x2871,x2877),f128(x2873,x2874,x2875,x2876,x2872,x2877))
% 19.04/19.07 [288]~E(x2881,x2882)+E(f128(x2883,x2884,x2885,x2886,x2887,x2881),f128(x2883,x2884,x2885,x2886,x2887,x2882))
% 19.04/19.07 [289]~E(x2891,x2892)+E(f34(x2891,x2893,x2894),f34(x2892,x2893,x2894))
% 19.04/19.07 [290]~E(x2901,x2902)+E(f34(x2903,x2901,x2904),f34(x2903,x2902,x2904))
% 19.04/19.07 [291]~E(x2911,x2912)+E(f34(x2913,x2914,x2911),f34(x2913,x2914,x2912))
% 19.04/19.07 [292]~E(x2921,x2922)+E(f176(x2921,x2923),f176(x2922,x2923))
% 19.04/19.07 [293]~E(x2931,x2932)+E(f176(x2933,x2931),f176(x2933,x2932))
% 19.04/19.07 [294]~E(x2941,x2942)+E(f101(x2941,x2943,x2944,x2945,x2946),f101(x2942,x2943,x2944,x2945,x2946))
% 19.04/19.07 [295]~E(x2951,x2952)+E(f101(x2953,x2951,x2954,x2955,x2956),f101(x2953,x2952,x2954,x2955,x2956))
% 19.04/19.07 [296]~E(x2961,x2962)+E(f101(x2963,x2964,x2961,x2965,x2966),f101(x2963,x2964,x2962,x2965,x2966))
% 19.04/19.07 [297]~E(x2971,x2972)+E(f101(x2973,x2974,x2975,x2971,x2976),f101(x2973,x2974,x2975,x2972,x2976))
% 19.04/19.07 [298]~E(x2981,x2982)+E(f101(x2983,x2984,x2985,x2986,x2981),f101(x2983,x2984,x2985,x2986,x2982))
% 19.04/19.07 [299]~E(x2991,x2992)+E(f145(x2991,x2993,x2994,x2995,x2996,x2997),f145(x2992,x2993,x2994,x2995,x2996,x2997))
% 19.04/19.07 [300]~E(x3001,x3002)+E(f145(x3003,x3001,x3004,x3005,x3006,x3007),f145(x3003,x3002,x3004,x3005,x3006,x3007))
% 19.04/19.07 [301]~E(x3011,x3012)+E(f145(x3013,x3014,x3011,x3015,x3016,x3017),f145(x3013,x3014,x3012,x3015,x3016,x3017))
% 19.04/19.07 [302]~E(x3021,x3022)+E(f145(x3023,x3024,x3025,x3021,x3026,x3027),f145(x3023,x3024,x3025,x3022,x3026,x3027))
% 19.04/19.07 [303]~E(x3031,x3032)+E(f145(x3033,x3034,x3035,x3036,x3031,x3037),f145(x3033,x3034,x3035,x3036,x3032,x3037))
% 19.04/19.07 [304]~E(x3041,x3042)+E(f145(x3043,x3044,x3045,x3046,x3047,x3041),f145(x3043,x3044,x3045,x3046,x3047,x3042))
% 19.04/19.07 [305]~E(x3051,x3052)+E(f108(x3051,x3053),f108(x3052,x3053))
% 19.04/19.07 [306]~E(x3061,x3062)+E(f108(x3063,x3061),f108(x3063,x3062))
% 19.04/19.07 [307]~E(x3071,x3072)+E(f14(x3071,x3073),f14(x3072,x3073))
% 19.04/19.07 [308]~E(x3081,x3082)+E(f14(x3083,x3081),f14(x3083,x3082))
% 19.04/19.07 [309]~E(x3091,x3092)+E(f130(x3091,x3093,x3094,x3095,x3096,x3097),f130(x3092,x3093,x3094,x3095,x3096,x3097))
% 19.04/19.07 [310]~E(x3101,x3102)+E(f130(x3103,x3101,x3104,x3105,x3106,x3107),f130(x3103,x3102,x3104,x3105,x3106,x3107))
% 19.04/19.07 [311]~E(x3111,x3112)+E(f130(x3113,x3114,x3111,x3115,x3116,x3117),f130(x3113,x3114,x3112,x3115,x3116,x3117))
% 19.04/19.07 [312]~E(x3121,x3122)+E(f130(x3123,x3124,x3125,x3121,x3126,x3127),f130(x3123,x3124,x3125,x3122,x3126,x3127))
% 19.04/19.07 [313]~E(x3131,x3132)+E(f130(x3133,x3134,x3135,x3136,x3131,x3137),f130(x3133,x3134,x3135,x3136,x3132,x3137))
% 19.04/19.07 [314]~E(x3141,x3142)+E(f130(x3143,x3144,x3145,x3146,x3147,x3141),f130(x3143,x3144,x3145,x3146,x3147,x3142))
% 19.04/19.07 [315]~E(x3151,x3152)+E(f162(x3151,x3153,x3154),f162(x3152,x3153,x3154))
% 19.04/19.07 [316]~E(x3161,x3162)+E(f162(x3163,x3161,x3164),f162(x3163,x3162,x3164))
% 19.04/19.07 [317]~E(x3171,x3172)+E(f162(x3173,x3174,x3171),f162(x3173,x3174,x3172))
% 19.04/19.07 [318]~E(x3181,x3182)+E(f177(x3181),f177(x3182))
% 19.04/19.07 [319]~E(x3191,x3192)+E(f174(x3191,x3193),f174(x3192,x3193))
% 19.04/19.07 [320]~E(x3201,x3202)+E(f174(x3203,x3201),f174(x3203,x3202))
% 19.04/19.07 [321]~E(x3211,x3212)+E(f207(x3211),f207(x3212))
% 19.04/19.07 [322]~E(x3221,x3222)+E(f43(x3221,x3223,x3224),f43(x3222,x3223,x3224))
% 19.04/19.07 [323]~E(x3231,x3232)+E(f43(x3233,x3231,x3234),f43(x3233,x3232,x3234))
% 19.04/19.07 [324]~E(x3241,x3242)+E(f43(x3243,x3244,x3241),f43(x3243,x3244,x3242))
% 19.04/19.07 [325]~E(x3251,x3252)+E(f85(x3251,x3253,x3254),f85(x3252,x3253,x3254))
% 19.04/19.07 [326]~E(x3261,x3262)+E(f85(x3263,x3261,x3264),f85(x3263,x3262,x3264))
% 19.04/19.07 [327]~E(x3271,x3272)+E(f85(x3273,x3274,x3271),f85(x3273,x3274,x3272))
% 19.04/19.07 [328]~E(x3281,x3282)+E(f132(x3281,x3283,x3284,x3285,x3286,x3287),f132(x3282,x3283,x3284,x3285,x3286,x3287))
% 19.04/19.07 [329]~E(x3291,x3292)+E(f132(x3293,x3291,x3294,x3295,x3296,x3297),f132(x3293,x3292,x3294,x3295,x3296,x3297))
% 19.04/19.07 [330]~E(x3301,x3302)+E(f132(x3303,x3304,x3301,x3305,x3306,x3307),f132(x3303,x3304,x3302,x3305,x3306,x3307))
% 19.04/19.07 [331]~E(x3311,x3312)+E(f132(x3313,x3314,x3315,x3311,x3316,x3317),f132(x3313,x3314,x3315,x3312,x3316,x3317))
% 19.04/19.07 [332]~E(x3321,x3322)+E(f132(x3323,x3324,x3325,x3326,x3321,x3327),f132(x3323,x3324,x3325,x3326,x3322,x3327))
% 19.04/19.07 [333]~E(x3331,x3332)+E(f132(x3333,x3334,x3335,x3336,x3337,x3331),f132(x3333,x3334,x3335,x3336,x3337,x3332))
% 19.04/19.07 [334]~E(x3341,x3342)+E(f196(x3341),f196(x3342))
% 19.04/19.07 [335]~E(x3351,x3352)+E(f116(x3351,x3353,x3354,x3355),f116(x3352,x3353,x3354,x3355))
% 19.04/19.07 [336]~E(x3361,x3362)+E(f116(x3363,x3361,x3364,x3365),f116(x3363,x3362,x3364,x3365))
% 19.04/19.07 [337]~E(x3371,x3372)+E(f116(x3373,x3374,x3371,x3375),f116(x3373,x3374,x3372,x3375))
% 19.04/19.07 [338]~E(x3381,x3382)+E(f116(x3383,x3384,x3385,x3381),f116(x3383,x3384,x3385,x3382))
% 19.04/19.07 [339]~E(x3391,x3392)+E(f51(x3391),f51(x3392))
% 19.04/19.07 [340]~E(x3401,x3402)+E(f62(x3401,x3403,x3404,x3405),f62(x3402,x3403,x3404,x3405))
% 19.04/19.07 [341]~E(x3411,x3412)+E(f62(x3413,x3411,x3414,x3415),f62(x3413,x3412,x3414,x3415))
% 19.04/19.07 [342]~E(x3421,x3422)+E(f62(x3423,x3424,x3421,x3425),f62(x3423,x3424,x3422,x3425))
% 19.04/19.07 [343]~E(x3431,x3432)+E(f62(x3433,x3434,x3435,x3431),f62(x3433,x3434,x3435,x3432))
% 19.04/19.07 [344]~E(x3441,x3442)+E(f82(x3441,x3443,x3444),f82(x3442,x3443,x3444))
% 19.04/19.07 [345]~E(x3451,x3452)+E(f82(x3453,x3451,x3454),f82(x3453,x3452,x3454))
% 19.04/19.07 [346]~E(x3461,x3462)+E(f82(x3463,x3464,x3461),f82(x3463,x3464,x3462))
% 19.04/19.07 [347]~E(x3471,x3472)+E(f25(x3471,x3473,x3474),f25(x3472,x3473,x3474))
% 19.04/19.07 [348]~E(x3481,x3482)+E(f25(x3483,x3481,x3484),f25(x3483,x3482,x3484))
% 19.04/19.07 [349]~E(x3491,x3492)+E(f25(x3493,x3494,x3491),f25(x3493,x3494,x3492))
% 19.04/19.07 [350]~E(x3501,x3502)+E(f88(x3501,x3503,x3504,x3505),f88(x3502,x3503,x3504,x3505))
% 19.04/19.07 [351]~E(x3511,x3512)+E(f88(x3513,x3511,x3514,x3515),f88(x3513,x3512,x3514,x3515))
% 19.04/19.07 [352]~E(x3521,x3522)+E(f88(x3523,x3524,x3521,x3525),f88(x3523,x3524,x3522,x3525))
% 19.04/19.07 [353]~E(x3531,x3532)+E(f88(x3533,x3534,x3535,x3531),f88(x3533,x3534,x3535,x3532))
% 19.04/19.07 [354]~E(x3541,x3542)+E(f180(x3541),f180(x3542))
% 19.04/19.07 [355]~E(x3551,x3552)+E(f58(x3551,x3553),f58(x3552,x3553))
% 19.04/19.07 [356]~E(x3561,x3562)+E(f58(x3563,x3561),f58(x3563,x3562))
% 19.04/19.07 [357]~E(x3571,x3572)+E(f75(x3571,x3573,x3574),f75(x3572,x3573,x3574))
% 19.04/19.07 [358]~E(x3581,x3582)+E(f75(x3583,x3581,x3584),f75(x3583,x3582,x3584))
% 19.04/19.07 [359]~E(x3591,x3592)+E(f75(x3593,x3594,x3591),f75(x3593,x3594,x3592))
% 19.04/19.07 [360]~E(x3601,x3602)+E(f81(x3601,x3603,x3604),f81(x3602,x3603,x3604))
% 19.04/19.07 [361]~E(x3611,x3612)+E(f81(x3613,x3611,x3614),f81(x3613,x3612,x3614))
% 19.04/19.07 [362]~E(x3621,x3622)+E(f81(x3623,x3624,x3621),f81(x3623,x3624,x3622))
% 19.04/19.07 [363]~E(x3631,x3632)+E(f136(x3631,x3633,x3634),f136(x3632,x3633,x3634))
% 19.04/19.07 [364]~E(x3641,x3642)+E(f136(x3643,x3641,x3644),f136(x3643,x3642,x3644))
% 19.04/19.07 [365]~E(x3651,x3652)+E(f136(x3653,x3654,x3651),f136(x3653,x3654,x3652))
% 19.04/19.07 [366]~E(x3661,x3662)+E(f45(x3661,x3663,x3664),f45(x3662,x3663,x3664))
% 19.04/19.07 [367]~E(x3671,x3672)+E(f45(x3673,x3671,x3674),f45(x3673,x3672,x3674))
% 19.04/19.07 [368]~E(x3681,x3682)+E(f45(x3683,x3684,x3681),f45(x3683,x3684,x3682))
% 19.04/19.07 [369]~E(x3691,x3692)+E(f125(x3691,x3693),f125(x3692,x3693))
% 19.04/19.07 [370]~E(x3701,x3702)+E(f125(x3703,x3701),f125(x3703,x3702))
% 19.04/19.07 [371]~E(x3711,x3712)+E(f161(x3711,x3713),f161(x3712,x3713))
% 19.04/19.07 [372]~E(x3721,x3722)+E(f161(x3723,x3721),f161(x3723,x3722))
% 19.04/19.07 [373]~E(x3731,x3732)+E(f211(x3731),f211(x3732))
% 19.04/19.07 [374]~E(x3741,x3742)+E(f86(x3741,x3743,x3744),f86(x3742,x3743,x3744))
% 19.04/19.07 [375]~E(x3751,x3752)+E(f86(x3753,x3751,x3754),f86(x3753,x3752,x3754))
% 19.04/19.07 [376]~E(x3761,x3762)+E(f86(x3763,x3764,x3761),f86(x3763,x3764,x3762))
% 19.04/19.07 [377]~E(x3771,x3772)+E(f16(x3771),f16(x3772))
% 19.04/19.07 [378]~E(x3781,x3782)+E(f76(x3781,x3783),f76(x3782,x3783))
% 19.04/19.07 [379]~E(x3791,x3792)+E(f76(x3793,x3791),f76(x3793,x3792))
% 19.04/19.07 [380]~E(x3801,x3802)+E(f158(x3801,x3803),f158(x3802,x3803))
% 19.04/19.07 [381]~E(x3811,x3812)+E(f158(x3813,x3811),f158(x3813,x3812))
% 19.04/19.07 [382]~E(x3821,x3822)+E(f17(x3821),f17(x3822))
% 19.04/19.07 [383]~E(x3831,x3832)+E(f137(x3831,x3833,x3834,x3835),f137(x3832,x3833,x3834,x3835))
% 19.04/19.07 [384]~E(x3841,x3842)+E(f137(x3843,x3841,x3844,x3845),f137(x3843,x3842,x3844,x3845))
% 19.04/19.07 [385]~E(x3851,x3852)+E(f137(x3853,x3854,x3851,x3855),f137(x3853,x3854,x3852,x3855))
% 19.04/19.07 [386]~E(x3861,x3862)+E(f137(x3863,x3864,x3865,x3861),f137(x3863,x3864,x3865,x3862))
% 19.04/19.07 [387]~E(x3871,x3872)+E(f118(x3871,x3873,x3874),f118(x3872,x3873,x3874))
% 19.04/19.07 [388]~E(x3881,x3882)+E(f118(x3883,x3881,x3884),f118(x3883,x3882,x3884))
% 19.04/19.07 [389]~E(x3891,x3892)+E(f118(x3893,x3894,x3891),f118(x3893,x3894,x3892))
% 19.04/19.07 [390]~E(x3901,x3902)+E(f80(x3901,x3903,x3904,x3905,x3906),f80(x3902,x3903,x3904,x3905,x3906))
% 19.04/19.07 [391]~E(x3911,x3912)+E(f80(x3913,x3911,x3914,x3915,x3916),f80(x3913,x3912,x3914,x3915,x3916))
% 19.04/19.07 [392]~E(x3921,x3922)+E(f80(x3923,x3924,x3921,x3925,x3926),f80(x3923,x3924,x3922,x3925,x3926))
% 19.04/19.07 [393]~E(x3931,x3932)+E(f80(x3933,x3934,x3935,x3931,x3936),f80(x3933,x3934,x3935,x3932,x3936))
% 19.04/19.07 [394]~E(x3941,x3942)+E(f80(x3943,x3944,x3945,x3946,x3941),f80(x3943,x3944,x3945,x3946,x3942))
% 19.04/19.07 [395]~E(x3951,x3952)+E(f127(x3951,x3953,x3954,x3955,x3956,x3957),f127(x3952,x3953,x3954,x3955,x3956,x3957))
% 19.04/19.07 [396]~E(x3961,x3962)+E(f127(x3963,x3961,x3964,x3965,x3966,x3967),f127(x3963,x3962,x3964,x3965,x3966,x3967))
% 19.04/19.07 [397]~E(x3971,x3972)+E(f127(x3973,x3974,x3971,x3975,x3976,x3977),f127(x3973,x3974,x3972,x3975,x3976,x3977))
% 19.04/19.07 [398]~E(x3981,x3982)+E(f127(x3983,x3984,x3985,x3981,x3986,x3987),f127(x3983,x3984,x3985,x3982,x3986,x3987))
% 19.04/19.07 [399]~E(x3991,x3992)+E(f127(x3993,x3994,x3995,x3996,x3991,x3997),f127(x3993,x3994,x3995,x3996,x3992,x3997))
% 19.04/19.07 [400]~E(x4001,x4002)+E(f127(x4003,x4004,x4005,x4006,x4007,x4001),f127(x4003,x4004,x4005,x4006,x4007,x4002))
% 19.04/19.07 [401]~E(x4011,x4012)+E(f66(x4011,x4013,x4014,x4015,x4016,x4017,x4018),f66(x4012,x4013,x4014,x4015,x4016,x4017,x4018))
% 19.04/19.07 [402]~E(x4021,x4022)+E(f66(x4023,x4021,x4024,x4025,x4026,x4027,x4028),f66(x4023,x4022,x4024,x4025,x4026,x4027,x4028))
% 19.04/19.07 [403]~E(x4031,x4032)+E(f66(x4033,x4034,x4031,x4035,x4036,x4037,x4038),f66(x4033,x4034,x4032,x4035,x4036,x4037,x4038))
% 19.04/19.07 [404]~E(x4041,x4042)+E(f66(x4043,x4044,x4045,x4041,x4046,x4047,x4048),f66(x4043,x4044,x4045,x4042,x4046,x4047,x4048))
% 19.04/19.07 [405]~E(x4051,x4052)+E(f66(x4053,x4054,x4055,x4056,x4051,x4057,x4058),f66(x4053,x4054,x4055,x4056,x4052,x4057,x4058))
% 19.04/19.07 [406]~E(x4061,x4062)+E(f66(x4063,x4064,x4065,x4066,x4067,x4061,x4068),f66(x4063,x4064,x4065,x4066,x4067,x4062,x4068))
% 19.04/19.07 [407]~E(x4071,x4072)+E(f66(x4073,x4074,x4075,x4076,x4077,x4078,x4071),f66(x4073,x4074,x4075,x4076,x4077,x4078,x4072))
% 19.04/19.07 [408]~E(x4081,x4082)+E(f113(x4081,x4083,x4084),f113(x4082,x4083,x4084))
% 19.04/19.07 [409]~E(x4091,x4092)+E(f113(x4093,x4091,x4094),f113(x4093,x4092,x4094))
% 19.04/19.07 [410]~E(x4101,x4102)+E(f113(x4103,x4104,x4101),f113(x4103,x4104,x4102))
% 19.04/19.07 [411]~E(x4111,x4112)+E(f107(x4111),f107(x4112))
% 19.04/19.07 [412]~E(x4121,x4122)+E(f65(x4121,x4123,x4124,x4125,x4126,x4127,x4128),f65(x4122,x4123,x4124,x4125,x4126,x4127,x4128))
% 19.04/19.07 [413]~E(x4131,x4132)+E(f65(x4133,x4131,x4134,x4135,x4136,x4137,x4138),f65(x4133,x4132,x4134,x4135,x4136,x4137,x4138))
% 19.04/19.07 [414]~E(x4141,x4142)+E(f65(x4143,x4144,x4141,x4145,x4146,x4147,x4148),f65(x4143,x4144,x4142,x4145,x4146,x4147,x4148))
% 19.04/19.07 [415]~E(x4151,x4152)+E(f65(x4153,x4154,x4155,x4151,x4156,x4157,x4158),f65(x4153,x4154,x4155,x4152,x4156,x4157,x4158))
% 19.04/19.07 [416]~E(x4161,x4162)+E(f65(x4163,x4164,x4165,x4166,x4161,x4167,x4168),f65(x4163,x4164,x4165,x4166,x4162,x4167,x4168))
% 19.04/19.07 [417]~E(x4171,x4172)+E(f65(x4173,x4174,x4175,x4176,x4177,x4171,x4178),f65(x4173,x4174,x4175,x4176,x4177,x4172,x4178))
% 19.04/19.07 [418]~E(x4181,x4182)+E(f65(x4183,x4184,x4185,x4186,x4187,x4188,x4181),f65(x4183,x4184,x4185,x4186,x4187,x4188,x4182))
% 19.04/19.07 [419]~E(x4191,x4192)+E(f27(x4191,x4193),f27(x4192,x4193))
% 19.04/19.07 [420]~E(x4201,x4202)+E(f27(x4203,x4201),f27(x4203,x4202))
% 19.04/19.07 [421]~E(x4211,x4212)+E(f99(x4211,x4213,x4214,x4215),f99(x4212,x4213,x4214,x4215))
% 19.04/19.07 [422]~E(x4221,x4222)+E(f99(x4223,x4221,x4224,x4225),f99(x4223,x4222,x4224,x4225))
% 19.04/19.07 [423]~E(x4231,x4232)+E(f99(x4233,x4234,x4231,x4235),f99(x4233,x4234,x4232,x4235))
% 19.04/19.07 [424]~E(x4241,x4242)+E(f99(x4243,x4244,x4245,x4241),f99(x4243,x4244,x4245,x4242))
% 19.04/19.07 [425]~E(x4251,x4252)+E(f46(x4251),f46(x4252))
% 19.04/19.07 [426]~E(x4261,x4262)+E(f135(x4261,x4263,x4264),f135(x4262,x4263,x4264))
% 19.04/19.07 [427]~E(x4271,x4272)+E(f135(x4273,x4271,x4274),f135(x4273,x4272,x4274))
% 19.04/19.07 [428]~E(x4281,x4282)+E(f135(x4283,x4284,x4281),f135(x4283,x4284,x4282))
% 19.04/19.07 [429]~E(x4291,x4292)+E(f138(x4291,x4293,x4294,x4295,x4296),f138(x4292,x4293,x4294,x4295,x4296))
% 19.04/19.07 [430]~E(x4301,x4302)+E(f138(x4303,x4301,x4304,x4305,x4306),f138(x4303,x4302,x4304,x4305,x4306))
% 19.04/19.07 [431]~E(x4311,x4312)+E(f138(x4313,x4314,x4311,x4315,x4316),f138(x4313,x4314,x4312,x4315,x4316))
% 19.04/19.07 [432]~E(x4321,x4322)+E(f138(x4323,x4324,x4325,x4321,x4326),f138(x4323,x4324,x4325,x4322,x4326))
% 19.04/19.07 [433]~E(x4331,x4332)+E(f138(x4333,x4334,x4335,x4336,x4331),f138(x4333,x4334,x4335,x4336,x4332))
% 19.04/19.07 [434]~E(x4341,x4342)+E(f24(x4341,x4343,x4344,x4345),f24(x4342,x4343,x4344,x4345))
% 19.04/19.07 [435]~E(x4351,x4352)+E(f24(x4353,x4351,x4354,x4355),f24(x4353,x4352,x4354,x4355))
% 19.04/19.07 [436]~E(x4361,x4362)+E(f24(x4363,x4364,x4361,x4365),f24(x4363,x4364,x4362,x4365))
% 19.04/19.07 [437]~E(x4371,x4372)+E(f24(x4373,x4374,x4375,x4371),f24(x4373,x4374,x4375,x4372))
% 19.04/19.07 [438]~E(x4381,x4382)+E(f151(x4381,x4383,x4384),f151(x4382,x4383,x4384))
% 19.04/19.07 [439]~E(x4391,x4392)+E(f151(x4393,x4391,x4394),f151(x4393,x4392,x4394))
% 19.04/19.07 [440]~E(x4401,x4402)+E(f151(x4403,x4404,x4401),f151(x4403,x4404,x4402))
% 19.04/19.07 [441]~E(x4411,x4412)+E(f105(x4411,x4413,x4414),f105(x4412,x4413,x4414))
% 19.04/19.07 [442]~E(x4421,x4422)+E(f105(x4423,x4421,x4424),f105(x4423,x4422,x4424))
% 19.04/19.07 [443]~E(x4431,x4432)+E(f105(x4433,x4434,x4431),f105(x4433,x4434,x4432))
% 19.04/19.07 [444]~E(x4441,x4442)+E(f77(x4441,x4443),f77(x4442,x4443))
% 19.04/19.07 [445]~E(x4451,x4452)+E(f77(x4453,x4451),f77(x4453,x4452))
% 19.04/19.07 [446]~E(x4461,x4462)+E(f104(x4461,x4463,x4464),f104(x4462,x4463,x4464))
% 19.04/19.07 [447]~E(x4471,x4472)+E(f104(x4473,x4471,x4474),f104(x4473,x4472,x4474))
% 19.04/19.07 [448]~E(x4481,x4482)+E(f104(x4483,x4484,x4481),f104(x4483,x4484,x4482))
% 19.04/19.07 [449]~E(x4491,x4492)+E(f129(x4491,x4493,x4494,x4495,x4496,x4497),f129(x4492,x4493,x4494,x4495,x4496,x4497))
% 19.04/19.07 [450]~E(x4501,x4502)+E(f129(x4503,x4501,x4504,x4505,x4506,x4507),f129(x4503,x4502,x4504,x4505,x4506,x4507))
% 19.04/19.07 [451]~E(x4511,x4512)+E(f129(x4513,x4514,x4511,x4515,x4516,x4517),f129(x4513,x4514,x4512,x4515,x4516,x4517))
% 19.04/19.07 [452]~E(x4521,x4522)+E(f129(x4523,x4524,x4525,x4521,x4526,x4527),f129(x4523,x4524,x4525,x4522,x4526,x4527))
% 19.04/19.07 [453]~E(x4531,x4532)+E(f129(x4533,x4534,x4535,x4536,x4531,x4537),f129(x4533,x4534,x4535,x4536,x4532,x4537))
% 19.04/19.07 [454]~E(x4541,x4542)+E(f129(x4543,x4544,x4545,x4546,x4547,x4541),f129(x4543,x4544,x4545,x4546,x4547,x4542))
% 19.04/19.07 [455]~E(x4551,x4552)+E(f55(x4551),f55(x4552))
% 19.04/19.07 [456]~E(x4561,x4562)+E(f156(x4561,x4563,x4564),f156(x4562,x4563,x4564))
% 19.04/19.07 [457]~E(x4571,x4572)+E(f156(x4573,x4571,x4574),f156(x4573,x4572,x4574))
% 19.04/19.07 [458]~E(x4581,x4582)+E(f156(x4583,x4584,x4581),f156(x4583,x4584,x4582))
% 19.04/19.07 [459]~E(x4591,x4592)+E(f215(x4591),f215(x4592))
% 19.04/19.07 [460]~E(x4601,x4602)+E(f28(x4601,x4603,x4604,x4605,x4606),f28(x4602,x4603,x4604,x4605,x4606))
% 19.04/19.07 [461]~E(x4611,x4612)+E(f28(x4613,x4611,x4614,x4615,x4616),f28(x4613,x4612,x4614,x4615,x4616))
% 19.04/19.07 [462]~E(x4621,x4622)+E(f28(x4623,x4624,x4621,x4625,x4626),f28(x4623,x4624,x4622,x4625,x4626))
% 19.04/19.07 [463]~E(x4631,x4632)+E(f28(x4633,x4634,x4635,x4631,x4636),f28(x4633,x4634,x4635,x4632,x4636))
% 19.04/19.07 [464]~E(x4641,x4642)+E(f28(x4643,x4644,x4645,x4646,x4641),f28(x4643,x4644,x4645,x4646,x4642))
% 19.04/19.07 [465]~E(x4651,x4652)+E(f160(x4651),f160(x4652))
% 19.04/19.07 [466]~E(x4661,x4662)+E(f22(x4661,x4663,x4664),f22(x4662,x4663,x4664))
% 19.04/19.07 [467]~E(x4671,x4672)+E(f22(x4673,x4671,x4674),f22(x4673,x4672,x4674))
% 19.04/19.07 [468]~E(x4681,x4682)+E(f22(x4683,x4684,x4681),f22(x4683,x4684,x4682))
% 19.04/19.07 [469]~E(x4691,x4692)+E(f50(x4691,x4693,x4694,x4695,x4696),f50(x4692,x4693,x4694,x4695,x4696))
% 19.04/19.07 [470]~E(x4701,x4702)+E(f50(x4703,x4701,x4704,x4705,x4706),f50(x4703,x4702,x4704,x4705,x4706))
% 19.04/19.07 [471]~E(x4711,x4712)+E(f50(x4713,x4714,x4711,x4715,x4716),f50(x4713,x4714,x4712,x4715,x4716))
% 19.04/19.07 [472]~E(x4721,x4722)+E(f50(x4723,x4724,x4725,x4721,x4726),f50(x4723,x4724,x4725,x4722,x4726))
% 19.04/19.07 [473]~E(x4731,x4732)+E(f50(x4733,x4734,x4735,x4736,x4731),f50(x4733,x4734,x4735,x4736,x4732))
% 19.04/19.07 [474]~E(x4741,x4742)+E(f140(x4741,x4743,x4744,x4745,x4746,x4747),f140(x4742,x4743,x4744,x4745,x4746,x4747))
% 19.04/19.07 [475]~E(x4751,x4752)+E(f140(x4753,x4751,x4754,x4755,x4756,x4757),f140(x4753,x4752,x4754,x4755,x4756,x4757))
% 19.04/19.07 [476]~E(x4761,x4762)+E(f140(x4763,x4764,x4761,x4765,x4766,x4767),f140(x4763,x4764,x4762,x4765,x4766,x4767))
% 19.04/19.07 [477]~E(x4771,x4772)+E(f140(x4773,x4774,x4775,x4771,x4776,x4777),f140(x4773,x4774,x4775,x4772,x4776,x4777))
% 19.04/19.07 [478]~E(x4781,x4782)+E(f140(x4783,x4784,x4785,x4786,x4781,x4787),f140(x4783,x4784,x4785,x4786,x4782,x4787))
% 19.04/19.07 [479]~E(x4791,x4792)+E(f140(x4793,x4794,x4795,x4796,x4797,x4791),f140(x4793,x4794,x4795,x4796,x4797,x4792))
% 19.04/19.07 [480]~E(x4801,x4802)+E(f126(x4801,x4803,x4804),f126(x4802,x4803,x4804))
% 19.04/19.07 [481]~E(x4811,x4812)+E(f126(x4813,x4811,x4814),f126(x4813,x4812,x4814))
% 19.04/19.07 [482]~E(x4821,x4822)+E(f126(x4823,x4824,x4821),f126(x4823,x4824,x4822))
% 19.04/19.07 [483]~E(x4831,x4832)+E(f37(x4831,x4833,x4834),f37(x4832,x4833,x4834))
% 19.04/19.07 [484]~E(x4841,x4842)+E(f37(x4843,x4841,x4844),f37(x4843,x4842,x4844))
% 19.04/19.07 [485]~E(x4851,x4852)+E(f37(x4853,x4854,x4851),f37(x4853,x4854,x4852))
% 19.04/19.07 [486]~E(x4861,x4862)+E(f163(x4861,x4863,x4864,x4865,x4866),f163(x4862,x4863,x4864,x4865,x4866))
% 19.04/19.07 [487]~E(x4871,x4872)+E(f163(x4873,x4871,x4874,x4875,x4876),f163(x4873,x4872,x4874,x4875,x4876))
% 19.04/19.07 [488]~E(x4881,x4882)+E(f163(x4883,x4884,x4881,x4885,x4886),f163(x4883,x4884,x4882,x4885,x4886))
% 19.04/19.07 [489]~E(x4891,x4892)+E(f163(x4893,x4894,x4895,x4891,x4896),f163(x4893,x4894,x4895,x4892,x4896))
% 19.04/19.07 [490]~E(x4901,x4902)+E(f163(x4903,x4904,x4905,x4906,x4901),f163(x4903,x4904,x4905,x4906,x4902))
% 19.04/19.07 [491]~E(x4911,x4912)+E(f23(x4911,x4913,x4914),f23(x4912,x4913,x4914))
% 19.04/19.07 [492]~E(x4921,x4922)+E(f23(x4923,x4921,x4924),f23(x4923,x4922,x4924))
% 19.04/19.07 [493]~E(x4931,x4932)+E(f23(x4933,x4934,x4931),f23(x4933,x4934,x4932))
% 19.04/19.07 [494]~E(x4941,x4942)+E(f59(x4941),f59(x4942))
% 19.04/19.07 [495]~E(x4951,x4952)+E(f103(x4951,x4953),f103(x4952,x4953))
% 19.04/19.07 [496]~E(x4961,x4962)+E(f103(x4963,x4961),f103(x4963,x4962))
% 19.04/19.07 [497]~E(x4971,x4972)+E(f197(x4971),f197(x4972))
% 19.04/19.07 [498]~E(x4981,x4982)+E(f74(x4981,x4983),f74(x4982,x4983))
% 19.04/19.07 [499]~E(x4991,x4992)+E(f74(x4993,x4991),f74(x4993,x4992))
% 19.04/19.07 [500]~E(x5001,x5002)+E(f133(x5001,x5003,x5004,x5005,x5006,x5007),f133(x5002,x5003,x5004,x5005,x5006,x5007))
% 19.04/19.07 [501]~E(x5011,x5012)+E(f133(x5013,x5011,x5014,x5015,x5016,x5017),f133(x5013,x5012,x5014,x5015,x5016,x5017))
% 19.04/19.07 [502]~E(x5021,x5022)+E(f133(x5023,x5024,x5021,x5025,x5026,x5027),f133(x5023,x5024,x5022,x5025,x5026,x5027))
% 19.04/19.07 [503]~E(x5031,x5032)+E(f133(x5033,x5034,x5035,x5031,x5036,x5037),f133(x5033,x5034,x5035,x5032,x5036,x5037))
% 19.04/19.07 [504]~E(x5041,x5042)+E(f133(x5043,x5044,x5045,x5046,x5041,x5047),f133(x5043,x5044,x5045,x5046,x5042,x5047))
% 19.04/19.07 [505]~E(x5051,x5052)+E(f133(x5053,x5054,x5055,x5056,x5057,x5051),f133(x5053,x5054,x5055,x5056,x5057,x5052))
% 19.04/19.07 [506]~E(x5061,x5062)+E(f98(x5061,x5063,x5064),f98(x5062,x5063,x5064))
% 19.04/19.07 [507]~E(x5071,x5072)+E(f98(x5073,x5071,x5074),f98(x5073,x5072,x5074))
% 19.04/19.07 [508]~E(x5081,x5082)+E(f98(x5083,x5084,x5081),f98(x5083,x5084,x5082))
% 19.04/19.07 [509]~E(x5091,x5092)+E(f97(x5091,x5093,x5094,x5095,x5096,x5097,x5098),f97(x5092,x5093,x5094,x5095,x5096,x5097,x5098))
% 19.04/19.07 [510]~E(x5101,x5102)+E(f97(x5103,x5101,x5104,x5105,x5106,x5107,x5108),f97(x5103,x5102,x5104,x5105,x5106,x5107,x5108))
% 19.04/19.07 [511]~E(x5111,x5112)+E(f97(x5113,x5114,x5111,x5115,x5116,x5117,x5118),f97(x5113,x5114,x5112,x5115,x5116,x5117,x5118))
% 19.04/19.07 [512]~E(x5121,x5122)+E(f97(x5123,x5124,x5125,x5121,x5126,x5127,x5128),f97(x5123,x5124,x5125,x5122,x5126,x5127,x5128))
% 19.04/19.07 [513]~E(x5131,x5132)+E(f97(x5133,x5134,x5135,x5136,x5131,x5137,x5138),f97(x5133,x5134,x5135,x5136,x5132,x5137,x5138))
% 19.04/19.07 [514]~E(x5141,x5142)+E(f97(x5143,x5144,x5145,x5146,x5147,x5141,x5148),f97(x5143,x5144,x5145,x5146,x5147,x5142,x5148))
% 19.04/19.07 [515]~E(x5151,x5152)+E(f97(x5153,x5154,x5155,x5156,x5157,x5158,x5151),f97(x5153,x5154,x5155,x5156,x5157,x5158,x5152))
% 19.04/19.07 [516]~E(x5161,x5162)+E(f119(x5161),f119(x5162))
% 19.04/19.07 [517]~E(x5171,x5172)+E(f120(x5171,x5173),f120(x5172,x5173))
% 19.04/19.07 [518]~E(x5181,x5182)+E(f120(x5183,x5181),f120(x5183,x5182))
% 19.04/19.07 [519]~E(x5191,x5192)+E(f109(x5191,x5193),f109(x5192,x5193))
% 19.04/19.07 [520]~E(x5201,x5202)+E(f109(x5203,x5201),f109(x5203,x5202))
% 19.04/19.07 [521]~E(x5211,x5212)+E(f115(x5211,x5213),f115(x5212,x5213))
% 19.04/19.07 [522]~E(x5221,x5222)+E(f115(x5223,x5221),f115(x5223,x5222))
% 19.04/19.07 [523]~E(x5231,x5232)+E(f114(x5231,x5233),f114(x5232,x5233))
% 19.04/19.07 [524]~E(x5241,x5242)+E(f114(x5243,x5241),f114(x5243,x5242))
% 19.04/19.07 [525]~E(x5251,x5252)+E(f123(x5251,x5253,x5254,x5255),f123(x5252,x5253,x5254,x5255))
% 19.04/19.07 [526]~E(x5261,x5262)+E(f123(x5263,x5261,x5264,x5265),f123(x5263,x5262,x5264,x5265))
% 19.04/19.07 [527]~E(x5271,x5272)+E(f123(x5273,x5274,x5271,x5275),f123(x5273,x5274,x5272,x5275))
% 19.04/19.07 [528]~E(x5281,x5282)+E(f123(x5283,x5284,x5285,x5281),f123(x5283,x5284,x5285,x5282))
% 19.04/19.07 [529]~E(x5291,x5292)+E(f20(x5291,x5293),f20(x5292,x5293))
% 19.04/19.07 [530]~E(x5301,x5302)+E(f20(x5303,x5301),f20(x5303,x5302))
% 19.04/19.07 [531]~E(x5311,x5312)+E(f78(x5311,x5313),f78(x5312,x5313))
% 19.04/19.07 [532]~E(x5321,x5322)+E(f78(x5323,x5321),f78(x5323,x5322))
% 19.04/19.07 [533]~E(x5331,x5332)+E(f36(x5331,x5333),f36(x5332,x5333))
% 19.04/19.07 [534]~E(x5341,x5342)+E(f36(x5343,x5341),f36(x5343,x5342))
% 19.04/19.07 [535]~E(x5351,x5352)+E(f154(x5351,x5353),f154(x5352,x5353))
% 19.04/19.07 [536]~E(x5361,x5362)+E(f154(x5363,x5361),f154(x5363,x5362))
% 19.04/19.07 [537]~E(x5371,x5372)+E(f92(x5371,x5373),f92(x5372,x5373))
% 19.04/19.07 [538]~E(x5381,x5382)+E(f92(x5383,x5381),f92(x5383,x5382))
% 19.04/19.07 [539]~E(x5391,x5392)+E(f144(x5391,x5393,x5394,x5395,x5396,x5397),f144(x5392,x5393,x5394,x5395,x5396,x5397))
% 19.04/19.07 [540]~E(x5401,x5402)+E(f144(x5403,x5401,x5404,x5405,x5406,x5407),f144(x5403,x5402,x5404,x5405,x5406,x5407))
% 19.04/19.07 [541]~E(x5411,x5412)+E(f144(x5413,x5414,x5411,x5415,x5416,x5417),f144(x5413,x5414,x5412,x5415,x5416,x5417))
% 19.04/19.07 [542]~E(x5421,x5422)+E(f144(x5423,x5424,x5425,x5421,x5426,x5427),f144(x5423,x5424,x5425,x5422,x5426,x5427))
% 19.04/19.07 [543]~E(x5431,x5432)+E(f144(x5433,x5434,x5435,x5436,x5431,x5437),f144(x5433,x5434,x5435,x5436,x5432,x5437))
% 19.04/19.07 [544]~E(x5441,x5442)+E(f144(x5443,x5444,x5445,x5446,x5447,x5441),f144(x5443,x5444,x5445,x5446,x5447,x5442))
% 19.04/19.07 [545]~E(x5451,x5452)+E(f146(x5451,x5453,x5454,x5455,x5456,x5457),f146(x5452,x5453,x5454,x5455,x5456,x5457))
% 19.04/19.07 [546]~E(x5461,x5462)+E(f146(x5463,x5461,x5464,x5465,x5466,x5467),f146(x5463,x5462,x5464,x5465,x5466,x5467))
% 19.04/19.07 [547]~E(x5471,x5472)+E(f146(x5473,x5474,x5471,x5475,x5476,x5477),f146(x5473,x5474,x5472,x5475,x5476,x5477))
% 19.04/19.07 [548]~E(x5481,x5482)+E(f146(x5483,x5484,x5485,x5481,x5486,x5487),f146(x5483,x5484,x5485,x5482,x5486,x5487))
% 19.04/19.07 [549]~E(x5491,x5492)+E(f146(x5493,x5494,x5495,x5496,x5491,x5497),f146(x5493,x5494,x5495,x5496,x5492,x5497))
% 19.04/19.07 [550]~E(x5501,x5502)+E(f146(x5503,x5504,x5505,x5506,x5507,x5501),f146(x5503,x5504,x5505,x5506,x5507,x5502))
% 19.04/19.07 [551]~E(x5511,x5512)+E(f87(x5511,x5513),f87(x5512,x5513))
% 19.04/19.07 [552]~E(x5521,x5522)+E(f87(x5523,x5521),f87(x5523,x5522))
% 19.04/19.07 [553]~E(x5531,x5532)+E(f79(x5531,x5533),f79(x5532,x5533))
% 19.04/19.07 [554]~E(x5541,x5542)+E(f79(x5543,x5541),f79(x5543,x5542))
% 19.04/19.07 [555]~E(x5551,x5552)+E(f57(x5551,x5553),f57(x5552,x5553))
% 19.04/19.07 [556]~E(x5561,x5562)+E(f57(x5563,x5561),f57(x5563,x5562))
% 19.04/19.07 [557]~E(x5571,x5572)+E(f159(x5571),f159(x5572))
% 19.04/19.07 [558]~E(x5581,x5582)+E(f52(x5581),f52(x5582))
% 19.04/19.07 [559]~E(x5591,x5592)+E(f54(x5591),f54(x5592))
% 19.04/19.07 [560]~E(x5601,x5602)+E(f157(x5601),f157(x5602))
% 19.04/19.07 [561]~E(x5611,x5612)+E(f89(x5611,x5613),f89(x5612,x5613))
% 19.04/19.07 [562]~E(x5621,x5622)+E(f89(x5623,x5621),f89(x5623,x5622))
% 19.04/19.07 [563]~E(x5631,x5632)+E(f33(x5631,x5633),f33(x5632,x5633))
% 19.04/19.07 [564]~E(x5641,x5642)+E(f33(x5643,x5641),f33(x5643,x5642))
% 19.04/19.07 [565]~P1(x5651)+P1(x5652)+~E(x5651,x5652)
% 19.04/19.07 [566]~P2(x5661)+P2(x5662)+~E(x5661,x5662)
% 19.04/19.07 [567]~P21(x5671)+P21(x5672)+~E(x5671,x5672)
% 19.04/19.07 [568]~P14(x5681)+P14(x5682)+~E(x5681,x5682)
% 19.04/19.07 [569]~P31(x5691)+P31(x5692)+~E(x5691,x5692)
% 19.04/19.07 [570]~P16(x5701)+P16(x5702)+~E(x5701,x5702)
% 19.04/19.07 [571]~P32(x5711)+P32(x5712)+~E(x5711,x5712)
% 19.04/19.07 [572]~P40(x5721)+P40(x5722)+~E(x5721,x5722)
% 19.04/19.07 [573]~P3(x5731)+P3(x5732)+~E(x5731,x5732)
% 19.04/19.07 [574]~P44(x5741)+P44(x5742)+~E(x5741,x5742)
% 19.04/19.07 [575]~P4(x5751)+P4(x5752)+~E(x5751,x5752)
% 19.04/19.07 [576]~P18(x5761)+P18(x5762)+~E(x5761,x5762)
% 19.04/19.07 [577]~P7(x5771)+P7(x5772)+~E(x5771,x5772)
% 19.04/19.07 [578]~P37(x5781)+P37(x5782)+~E(x5781,x5782)
% 19.04/19.07 [579]~P33(x5791)+P33(x5792)+~E(x5791,x5792)
% 19.04/19.07 [580]~P26(x5801)+P26(x5802)+~E(x5801,x5802)
% 19.04/19.07 [581]~P41(x5811)+P41(x5812)+~E(x5811,x5812)
% 19.04/19.07 [582]~P19(x5821)+P19(x5822)+~E(x5821,x5822)
% 19.04/19.07 [583]~P34(x5831)+P34(x5832)+~E(x5831,x5832)
% 19.04/19.07 [584]~P50(x5841)+P50(x5842)+~E(x5841,x5842)
% 19.04/19.07 [585]~P35(x5851)+P35(x5852)+~E(x5851,x5852)
% 19.04/19.07 [586]~P55(x5861)+P55(x5862)+~E(x5861,x5862)
% 19.04/19.07 [587]~P58(x5871)+P58(x5872)+~E(x5871,x5872)
% 19.04/19.07 [588]~P49(x5881)+P49(x5882)+~E(x5881,x5882)
% 19.04/19.07 [589]~P36(x5891)+P36(x5892)+~E(x5891,x5892)
% 19.04/19.07 [590]~P27(x5901)+P27(x5902)+~E(x5901,x5902)
% 19.04/19.07 [591]~P42(x5911)+P42(x5912)+~E(x5911,x5912)
% 19.04/19.07 [592]~P59(x5921)+P59(x5922)+~E(x5921,x5922)
% 19.04/19.07 [593]~P24(x5931)+P24(x5932)+~E(x5931,x5932)
% 19.04/19.07 [594]~P8(x5941)+P8(x5942)+~E(x5941,x5942)
% 19.04/19.07 [595]~P43(x5951)+P43(x5952)+~E(x5951,x5952)
% 19.04/19.07 [596]~P39(x5961)+P39(x5962)+~E(x5961,x5962)
% 19.04/19.07 [597]~P12(x5971)+P12(x5972)+~E(x5971,x5972)
% 19.04/19.07 [598]~P30(x5981)+P30(x5982)+~E(x5981,x5982)
% 19.04/19.07 [599]~P10(x5991)+P10(x5992)+~E(x5991,x5992)
% 19.04/19.07 [600]~P47(x6001)+P47(x6002)+~E(x6001,x6002)
% 19.04/19.07 [601]~P38(x6011)+P38(x6012)+~E(x6011,x6012)
% 19.04/19.07 [602]~P22(x6021)+P22(x6022)+~E(x6021,x6022)
% 19.04/19.07 [603]~P29(x6031)+P29(x6032)+~E(x6031,x6032)
% 19.04/19.07 [604]~P52(x6041)+P52(x6042)+~E(x6041,x6042)
% 19.04/19.07 [605]~P45(x6051)+P45(x6052)+~E(x6051,x6052)
% 19.04/19.07 [606]~P15(x6061)+P15(x6062)+~E(x6061,x6062)
% 19.04/19.07 [607]~P54(x6071)+P54(x6072)+~E(x6071,x6072)
% 19.04/19.07 [608]~P56(x6081)+P56(x6082)+~E(x6081,x6082)
% 19.04/19.07 [609]~P5(x6091)+P5(x6092)+~E(x6091,x6092)
% 19.04/19.07 [610]~P9(x6101)+P9(x6102)+~E(x6101,x6102)
% 19.04/19.07 [611]~P53(x6111)+P53(x6112)+~E(x6111,x6112)
% 19.04/19.07 [612]~P13(x6121)+P13(x6122)+~E(x6121,x6122)
% 19.04/19.07 [613]~P17(x6131)+P17(x6132)+~E(x6131,x6132)
% 19.04/19.07 [614]~P28(x6141)+P28(x6142)+~E(x6141,x6142)
% 19.04/19.07 [615]~P51(x6151)+P51(x6152)+~E(x6151,x6152)
% 19.04/19.07 [616]~P6(x6161)+P6(x6162)+~E(x6161,x6162)
% 19.04/19.07 [617]~P46(x6171)+P46(x6172)+~E(x6171,x6172)
% 19.04/19.07 [618]~P20(x6181)+P20(x6182)+~E(x6181,x6182)
% 19.04/19.07 [619]~P11(x6191)+P11(x6192)+~E(x6191,x6192)
% 19.04/19.07 [620]~P61(x6201)+P61(x6202)+~E(x6201,x6202)
% 19.04/19.07 [621]~P60(x6211)+P60(x6212)+~E(x6211,x6212)
% 19.04/19.07 [622]~P57(x6221)+P57(x6222)+~E(x6221,x6222)
% 19.04/19.07 [623]~P23(x6231)+P23(x6232)+~E(x6231,x6232)
% 19.04/19.07 [624]~P48(x6241)+P48(x6242)+~E(x6241,x6242)
% 19.04/19.07 [625]~P25(x6251)+P25(x6252)+~E(x6251,x6252)
% 19.04/19.07
% 19.04/19.07 %-------------------------------------------
% 19.04/19.09 cnf(2299,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x22991),x22992)),x22992))),
% 19.04/19.09 inference(rename_variables,[],[974])).
% 19.04/19.09 cnf(2302,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x23021),x23021))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2308,plain,
% 19.04/19.09 (E(f12(x23081,x23082,x23083,f12(x23081,x23081,f7(x23081),x23084)),f12(x23081,x23082,x23083,x23084))),
% 19.04/19.09 inference(rename_variables,[],[798])).
% 19.04/19.09 cnf(2311,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x23111),f12(a185,a185,a204,x23111)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2314,plain,
% 19.04/19.09 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x23141),x23141))),
% 19.04/19.09 inference(rename_variables,[],[824])).
% 19.04/19.09 cnf(2317,plain,
% 19.04/19.09 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x23171),x23171))),
% 19.04/19.09 inference(rename_variables,[],[824])).
% 19.04/19.09 cnf(2320,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x23201),f12(a185,a185,a204,x23201)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2325,plain,
% 19.04/19.09 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x23251),x23251))),
% 19.04/19.09 inference(rename_variables,[],[824])).
% 19.04/19.09 cnf(2328,plain,
% 19.04/19.09 (E(f12(x23281,x23282,x23283,f12(x23281,x23281,f7(x23281),x23284)),f12(x23281,x23282,x23283,x23284))),
% 19.04/19.09 inference(rename_variables,[],[798])).
% 19.04/19.09 cnf(2343,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x23431),f12(a185,a185,a204,x23431)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2346,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x23461),f12(a185,a185,a204,x23461)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2349,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x23491),x23492)),x23492))),
% 19.04/19.09 inference(rename_variables,[],[974])).
% 19.04/19.09 cnf(2371,plain,
% 19.04/19.09 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x23711),x23711))),
% 19.04/19.09 inference(rename_variables,[],[824])).
% 19.04/19.09 cnf(2380,plain,
% 19.04/19.09 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x23801),x23801))),
% 19.04/19.09 inference(rename_variables,[],[824])).
% 19.04/19.09 cnf(2385,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x23851),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x23852),x23851)))),
% 19.04/19.09 inference(rename_variables,[],[882])).
% 19.04/19.09 cnf(2388,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x23881),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x23882),x23881)))),
% 19.04/19.09 inference(rename_variables,[],[882])).
% 19.04/19.09 cnf(2391,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x23911),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x23912),x23911))))),
% 19.04/19.09 inference(rename_variables,[],[913])).
% 19.04/19.09 cnf(2396,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x23961),x23961))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2399,plain,
% 19.04/19.09 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x23991),x23991))),
% 19.04/19.09 inference(rename_variables,[],[824])).
% 19.04/19.09 cnf(2408,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x24081)),x24081))),
% 19.04/19.09 inference(rename_variables,[],[970])).
% 19.04/19.09 cnf(2411,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x24111)),x24111))),
% 19.04/19.09 inference(rename_variables,[],[970])).
% 19.04/19.09 cnf(2414,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x24141),x24142)),x24142))),
% 19.04/19.09 inference(rename_variables,[],[974])).
% 19.04/19.09 cnf(2417,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x24171),x24172)),x24172))),
% 19.04/19.09 inference(rename_variables,[],[974])).
% 19.04/19.09 cnf(2424,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x24241),f12(a185,a185,a204,x24241)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2439,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x24391),f12(a185,a185,a204,x24391)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2464,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x24641),f12(a185,a185,a204,x24641)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2489,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x24891),x24891))),
% 19.04/19.09 inference(rename_variables,[],[823])).
% 19.04/19.09 cnf(2492,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x24921),f12(a185,a185,a204,x24921)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2495,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x24951),x24951))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2518,plain,
% 19.04/19.09 (E(f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x25181))),x25181)),
% 19.04/19.09 inference(rename_variables,[],[888])).
% 19.04/19.09 cnf(2521,plain,
% 19.04/19.09 (E(f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x25211))),x25211)),
% 19.04/19.09 inference(rename_variables,[],[888])).
% 19.04/19.09 cnf(2528,plain,
% 19.04/19.09 (E(f12(x25281,x25281,f7(x25281),f12(x25282,x25281,x25283,x25284)),f12(x25282,x25281,x25283,x25284))),
% 19.04/19.09 inference(rename_variables,[],[797])).
% 19.04/19.09 cnf(2531,plain,
% 19.04/19.09 (P21(f12(f166(x25311,a2),a2,f12(f166(x25311,a2),f166(f166(x25311,a2),a2),f199(f166(x25311,a2)),f12(f166(x25311,a2),f166(x25311,a2),f12(f166(x25311,a2),f166(f166(x25311,a2),f166(x25311,a2)),f190(f166(x25311,a2)),x25312),x25313)),x25312))),
% 19.04/19.09 inference(rename_variables,[],[928])).
% 19.04/19.09 cnf(2550,plain,
% 19.04/19.09 (P21(f12(f166(x25501,a2),a2,f12(f166(x25501,a2),f166(f166(x25501,a2),a2),f199(f166(x25501,a2)),x25502),f12(f166(x25501,a2),f166(x25501,a2),f12(x25501,f166(f166(x25501,a2),f166(x25501,a2)),f182(x25501),x25503),x25502)))),
% 19.04/19.09 inference(rename_variables,[],[892])).
% 19.04/19.09 cnf(2566,plain,
% 19.04/19.09 (P21(f12(f166(x25661,a2),a2,f12(f166(x25661,a2),f166(f166(x25661,a2),a2),f199(f166(x25661,a2)),x25662),x25662))),
% 19.04/19.09 inference(rename_variables,[],[837])).
% 19.04/19.09 cnf(2583,plain,
% 19.04/19.09 (E(f12(a1,a1,f191(a1),x25831),x25831)),
% 19.04/19.09 inference(rename_variables,[],[731])).
% 19.04/19.09 cnf(2585,plain,
% 19.04/19.09 (E(f12(a1,a1,f191(a1),x25851),x25851)),
% 19.04/19.09 inference(rename_variables,[],[731])).
% 19.04/19.09 cnf(2588,plain,
% 19.04/19.09 (~E(f12(a185,a185,a204,x25881),x25881)),
% 19.04/19.09 inference(rename_variables,[],[948])).
% 19.04/19.09 cnf(2590,plain,
% 19.04/19.09 (~E(f12(a185,a185,a204,x25901),x25901)),
% 19.04/19.09 inference(rename_variables,[],[948])).
% 19.04/19.09 cnf(2593,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x25931),x25931))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2598,plain,
% 19.04/19.09 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x25981),x25981))),
% 19.04/19.09 inference(rename_variables,[],[824])).
% 19.04/19.09 cnf(2601,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x26011),x26011))),
% 19.04/19.09 inference(rename_variables,[],[823])).
% 19.04/19.09 cnf(2609,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x26091),x26092)),f12(a185,a185,a204,x26091)))),
% 19.04/19.09 inference(rename_variables,[],[915])).
% 19.04/19.09 cnf(2612,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x26121),x26121))),
% 19.04/19.09 inference(rename_variables,[],[823])).
% 19.04/19.09 cnf(2613,plain,
% 19.04/19.09 (E(f12(a1,a1,f191(a1),x26131),x26131)),
% 19.04/19.09 inference(rename_variables,[],[731])).
% 19.04/19.09 cnf(2620,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x26201),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x26201),x26202)))),
% 19.04/19.09 inference(rename_variables,[],[883])).
% 19.04/19.09 cnf(2623,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,a204,x26231)))),
% 19.04/19.09 inference(rename_variables,[],[848])).
% 19.04/19.09 cnf(2628,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x26281),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x26281),x26282)))),
% 19.04/19.09 inference(rename_variables,[],[883])).
% 19.04/19.09 cnf(2631,plain,
% 19.04/19.09 (~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a185,a1,f205(a1),x26311)),f183(a1)))),
% 19.04/19.09 inference(rename_variables,[],[971])).
% 19.04/19.09 cnf(2634,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f183(a185)),x26341))),
% 19.04/19.09 inference(rename_variables,[],[827])).
% 19.04/19.09 cnf(2641,plain,
% 19.04/19.09 (E(f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),f183(a185)),x26411),f183(a185))),
% 19.04/19.09 inference(rename_variables,[],[789])).
% 19.04/19.09 cnf(2644,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x26441),x26441))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2645,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x26451),f12(a185,a185,a204,x26451)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2648,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x26481),x26481))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2651,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x26511),f12(a185,a185,a204,x26511)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2654,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,a204,x26541)))),
% 19.04/19.09 inference(rename_variables,[],[848])).
% 19.04/19.09 cnf(2655,plain,
% 19.04/19.09 (~E(f12(a185,a185,a204,x26551),x26551)),
% 19.04/19.09 inference(rename_variables,[],[948])).
% 19.04/19.09 cnf(2658,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x26581),x26581))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2659,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x26591),f12(a185,a185,a204,x26591)))),
% 19.04/19.09 inference(rename_variables,[],[847])).
% 19.04/19.09 cnf(2662,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x26621),x26621))),
% 19.04/19.09 inference(rename_variables,[],[823])).
% 19.04/19.09 cnf(2675,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),f183(a185)),f12(a185,a185,a204,x26751)))),
% 19.04/19.09 inference(rename_variables,[],[848])).
% 19.04/19.09 cnf(2676,plain,
% 19.04/19.09 (~E(f12(a185,a185,a204,x26761),x26761)),
% 19.04/19.09 inference(rename_variables,[],[948])).
% 19.04/19.09 cnf(2679,plain,
% 19.04/19.09 (E(f12(f166(a185,a2),a185,f167(a185),f12(f166(a185,a2),f166(a185,a2),f9(a185),f12(a185,f166(a185,a2),f12(f166(a185,f166(a185,a2)),f166(a185,f166(a185,a2)),f11(a185,a185,a2),f200(a185)),x26791))),x26791)),
% 19.04/19.09 inference(rename_variables,[],[888])).
% 19.04/19.09 cnf(2688,plain,
% 19.04/19.09 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x26881),x26881))),
% 19.04/19.09 inference(rename_variables,[],[824])).
% 19.04/19.09 cnf(2691,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x26911),x26911))),
% 19.04/19.09 inference(rename_variables,[],[823])).
% 19.04/19.09 cnf(2692,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f183(a185)),x26921))),
% 19.04/19.09 inference(rename_variables,[],[827])).
% 19.04/19.09 cnf(2695,plain,
% 19.04/19.09 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f183(a185)),x26951))),
% 19.04/19.09 inference(rename_variables,[],[827])).
% 19.04/19.09 cnf(2700,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x27001),x27001))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2703,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x27031),x27031))),
% 19.04/19.09 inference(rename_variables,[],[963])).
% 19.04/19.09 cnf(2706,plain,
% 19.04/19.09 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x27061),x27061))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(2709,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x27091),x27091))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(2717,plain,
% 19.04/19.10 (P21(f12(f166(x27171,a2),a2,f12(f166(x27171,a2),f166(f166(x27171,a2),a2),f199(f166(x27171,a2)),f6(f166(x27171,a2))),x27172))),
% 19.04/19.10 inference(rename_variables,[],[840])).
% 19.04/19.10 cnf(2720,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x27201),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(2723,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f183(a185)),x27231))),
% 19.04/19.10 inference(rename_variables,[],[827])).
% 19.04/19.10 cnf(2738,plain,
% 19.04/19.10 (P21(f12(f166(x27381,a2),a2,f12(f166(x27381,a2),f166(f166(x27381,a2),a2),f199(f166(x27381,a2)),f12(f166(x27381,a2),f166(x27381,a2),f12(f166(x27381,a2),f166(f166(x27381,a2),f166(x27381,a2)),f190(f166(x27381,a2)),x27382),x27383)),x27382))),
% 19.04/19.10 inference(rename_variables,[],[928])).
% 19.04/19.10 cnf(2749,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x27491),f12(a185,a185,a204,x27491)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2752,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f183(a185)),x27521))),
% 19.04/19.10 inference(rename_variables,[],[827])).
% 19.04/19.10 cnf(2757,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x27571),f12(a185,a185,a204,x27571)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2762,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x27621),f12(a185,a185,a204,x27621)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2783,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x27831),x27831))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(2786,plain,
% 19.04/19.10 (P21(f12(f166(x27861,a2),a2,f12(f166(x27861,a2),f166(f166(x27861,a2),a2),f199(f166(x27861,a2)),f6(f166(x27861,a2))),x27862))),
% 19.04/19.10 inference(rename_variables,[],[840])).
% 19.04/19.10 cnf(2791,plain,
% 19.04/19.10 (E(f12(a1,a1,f12(a1,f166(a1,a1),f203(a1),a184),x27911),x27911)),
% 19.04/19.10 inference(rename_variables,[],[775])).
% 19.04/19.10 cnf(2794,plain,
% 19.04/19.10 (P21(f12(f166(x27941,a2),a2,f12(f166(x27941,a2),f166(f166(x27941,a2),a2),f199(f166(x27941,a2)),f12(f166(x27941,a2),f166(x27941,a2),f12(f166(x27941,a2),f166(f166(x27941,a2),f166(x27941,a2)),f190(f166(x27941,a2)),x27942),x27943)),x27942))),
% 19.04/19.10 inference(rename_variables,[],[928])).
% 19.04/19.10 cnf(2797,plain,
% 19.04/19.10 (P21(f12(f166(x27971,a2),a2,f12(f166(x27971,a2),f166(f166(x27971,a2),a2),f199(f166(x27971,a2)),f12(f166(x27971,a2),f166(x27971,a2),f12(f166(x27971,a2),f166(f166(x27971,a2),f166(x27971,a2)),f190(f166(x27971,a2)),x27972),x27973)),x27972))),
% 19.04/19.10 inference(rename_variables,[],[928])).
% 19.04/19.10 cnf(2804,plain,
% 19.04/19.10 (E(f12(x28041,x28041,f7(x28041),f12(x28042,x28041,x28043,x28044)),f12(x28042,x28041,x28043,x28044))),
% 19.04/19.10 inference(rename_variables,[],[797])).
% 19.04/19.10 cnf(2807,plain,
% 19.04/19.10 (E(f12(a1,a1,f12(a1,f166(a1,a1),f190(a1),x28071),a184),x28071)),
% 19.04/19.10 inference(rename_variables,[],[776])).
% 19.04/19.10 cnf(2819,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x28191),f12(a185,a185,a204,x28191)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2820,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x28201),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(2823,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x28231),x28231))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(2840,plain,
% 19.04/19.10 (E(f12(x28401,x28401,f7(x28401),f12(x28402,x28401,x28403,x28404)),f12(x28402,x28401,x28403,x28404))),
% 19.04/19.10 inference(rename_variables,[],[797])).
% 19.04/19.10 cnf(2870,plain,
% 19.04/19.10 (E(f12(x28701,x28701,f7(x28701),f12(x28702,x28701,x28703,x28704)),f12(x28702,x28701,x28703,x28704))),
% 19.04/19.10 inference(rename_variables,[],[797])).
% 19.04/19.10 cnf(2888,plain,
% 19.04/19.10 (~P21(f12(f166(x28881,a2),a2,f12(x28881,f166(f166(x28881,a2),a2),f189(x28881),x28882),f6(f166(x28881,a2))))),
% 19.04/19.10 inference(rename_variables,[],[968])).
% 19.04/19.10 cnf(2889,plain,
% 19.04/19.10 (E(f12(x28891,x28891,f7(x28891),f12(x28892,x28891,x28893,x28894)),f12(x28892,x28891,x28893,x28894))),
% 19.04/19.10 inference(rename_variables,[],[797])).
% 19.04/19.10 cnf(2892,plain,
% 19.04/19.10 (E(f12(x28921,x28921,f7(x28921),f12(x28922,x28921,x28923,x28924)),f12(x28922,x28921,x28923,x28924))),
% 19.04/19.10 inference(rename_variables,[],[797])).
% 19.04/19.10 cnf(2896,plain,
% 19.04/19.10 (E(f12(x28961,x28961,f7(x28961),f12(x28962,x28961,x28963,x28964)),f12(x28962,x28961,x28963,x28964))),
% 19.04/19.10 inference(rename_variables,[],[797])).
% 19.04/19.10 cnf(2903,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f183(a185)),x29031))),
% 19.04/19.10 inference(rename_variables,[],[827])).
% 19.04/19.10 cnf(2904,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x29041),x29041))),
% 19.04/19.10 inference(rename_variables,[],[823])).
% 19.04/19.10 cnf(2917,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x29171),f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x29171),x29172)))),
% 19.04/19.10 inference(rename_variables,[],[883])).
% 19.04/19.10 cnf(2918,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x29181),x29181))),
% 19.04/19.10 inference(rename_variables,[],[823])).
% 19.04/19.10 cnf(2922,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29221),x29221))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(2923,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29231),f12(a185,a185,a204,x29231)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2926,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29261),x29261))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(2927,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x29271),x29271))),
% 19.04/19.10 inference(rename_variables,[],[823])).
% 19.04/19.10 cnf(2928,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29281),f12(a185,a185,a204,x29281)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2931,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x29311)),x29311))),
% 19.04/19.10 inference(rename_variables,[],[970])).
% 19.04/19.10 cnf(2933,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x29331),x29331))),
% 19.04/19.10 inference(rename_variables,[],[823])).
% 19.04/19.10 cnf(2937,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29371),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(2938,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x29381),x29381))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(2942,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29421),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(2943,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x29431),x29431))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(2946,plain,
% 19.04/19.10 (~P21(f12(f166(x29461,a2),a2,f12(x29461,f166(f166(x29461,a2),a2),f189(x29461),x29462),f6(f166(x29461,a2))))),
% 19.04/19.10 inference(rename_variables,[],[968])).
% 19.04/19.10 cnf(2950,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29501),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(2951,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x29511),x29511))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(2955,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29551),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(2956,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x29561),x29561))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(2959,plain,
% 19.04/19.10 (~P21(f12(f166(x29591,a2),a2,f12(x29591,f166(f166(x29591,a2),a2),f189(x29591),x29592),f6(f166(x29591,a2))))),
% 19.04/19.10 inference(rename_variables,[],[968])).
% 19.04/19.10 cnf(2962,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x29621),x29622)),x29621))),
% 19.04/19.10 inference(rename_variables,[],[908])).
% 19.04/19.10 cnf(2970,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29701),f12(a185,a185,a204,x29701)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2973,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29731),f12(a185,a185,a204,x29731)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2974,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29741),f12(a185,a185,a204,f12(a185,a185,f12(a185,f166(a185,a185),f203(a185),x29742),x29741))))),
% 19.04/19.10 inference(rename_variables,[],[913])).
% 19.04/19.10 cnf(2977,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x29771),f12(a185,a185,a204,x29771)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(2987,plain,
% 19.04/19.10 (~P21(f12(f166(x29871,a2),a2,f12(x29871,f166(f166(x29871,a2),a2),f189(x29871),x29872),f6(f166(x29871,a2))))),
% 19.04/19.10 inference(rename_variables,[],[968])).
% 19.04/19.10 cnf(2990,plain,
% 19.04/19.10 (E(f12(x29901,x29901,f7(x29901),f12(x29902,x29901,x29903,x29904)),f12(x29902,x29901,x29903,x29904))),
% 19.04/19.10 inference(rename_variables,[],[797])).
% 19.04/19.10 cnf(2995,plain,
% 19.04/19.10 (E(f12(x29951,x29951,f7(x29951),f12(x29952,x29951,x29953,x29954)),f12(x29952,x29951,x29953,x29954))),
% 19.04/19.10 inference(rename_variables,[],[797])).
% 19.04/19.10 cnf(3003,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x30031),x30032)),x30031))),
% 19.04/19.10 inference(rename_variables,[],[908])).
% 19.04/19.10 cnf(3004,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x30041),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(3007,plain,
% 19.04/19.10 (~P21(f12(a1,a2,f12(a1,f166(a1,a2),f200(a1),f12(a185,a1,f205(a1),x30071)),f183(a1)))),
% 19.04/19.10 inference(rename_variables,[],[971])).
% 19.04/19.10 cnf(3010,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x30101),x30102)),x30101))),
% 19.04/19.10 inference(rename_variables,[],[908])).
% 19.04/19.10 cnf(3011,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x30111),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(3016,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x30161),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(3019,plain,
% 19.04/19.10 (~P21(f12(f166(x30191,a2),a2,f12(x30191,f166(f166(x30191,a2),a2),f189(x30191),x30192),f6(f166(x30191,a2))))),
% 19.04/19.10 inference(rename_variables,[],[968])).
% 19.04/19.10 cnf(3022,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x30221),x30221))),
% 19.04/19.10 inference(rename_variables,[],[823])).
% 19.04/19.10 cnf(3025,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x30251),x30251))),
% 19.04/19.10 inference(rename_variables,[],[823])).
% 19.04/19.10 cnf(3028,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x30281),x30281))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(3029,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x30291),f12(a185,a185,a204,x30291)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(3033,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x30331),x30331))),
% 19.04/19.10 inference(rename_variables,[],[823])).
% 19.04/19.10 cnf(3036,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x30361),f12(a185,a185,a204,x30361)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(3039,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x30391),x30391))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(3042,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x30421),x30421))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(3045,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x30451),x30451))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(3048,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x30481),x30481))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(3055,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),x30551),x30551))),
% 19.04/19.10 inference(rename_variables,[],[823])).
% 19.04/19.10 cnf(3058,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x30581),x30581))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(3061,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x30611),x30611))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(3070,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x30701),f12(a185,a185,a204,x30701)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(3084,plain,
% 19.04/19.10 (~P21(f12(f166(x30841,a2),a2,f12(x30841,f166(f166(x30841,a2),a2),f189(x30841),x30842),f6(f166(x30841,a2))))),
% 19.04/19.10 inference(rename_variables,[],[968])).
% 19.04/19.10 cnf(3089,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x30891),x30891))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(3092,plain,
% 19.04/19.10 (P21(f12(a1,a2,f12(a1,f166(a1,a2),f199(a1),x30921),x30921))),
% 19.04/19.10 inference(rename_variables,[],[824])).
% 19.04/19.10 cnf(3098,plain,
% 19.04/19.10 (~P21(f12(f166(x30981,a2),a2,f12(f166(x30981,a2),f166(f166(x30981,a2),a2),f200(f166(x30981,a2)),x30982),f6(f166(x30981,a2))))),
% 19.04/19.10 inference(rename_variables,[],[969])).
% 19.04/19.10 cnf(3099,plain,
% 19.04/19.10 (~P21(f12(f166(x30991,a2),a2,f12(x30991,f166(f166(x30991,a2),a2),f189(x30991),x30992),f6(f166(x30991,a2))))),
% 19.04/19.10 inference(rename_variables,[],[968])).
% 19.04/19.10 cnf(3102,plain,
% 19.04/19.10 (~P21(f12(f166(x31021,a2),a2,f12(x31021,f166(f166(x31021,a2),a2),f189(x31021),x31022),f6(f166(x31021,a2))))),
% 19.04/19.10 inference(rename_variables,[],[968])).
% 19.04/19.10 cnf(3107,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,f12(a185,f166(a185,a185),f190(a185),x31071),x31072)),x31071))),
% 19.04/19.10 inference(rename_variables,[],[908])).
% 19.04/19.10 cnf(3108,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x31081),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(3112,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x31121),f183(a185)))),
% 19.04/19.10 inference(rename_variables,[],[966])).
% 19.04/19.10 cnf(3151,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31511),x31511)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3166,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31661),x31661)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3171,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31711),x31711)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3174,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31741),x31741)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3177,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31771),x31771)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3186,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31861),x31861)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3191,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31911),x31911)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3194,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31941),x31941)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3197,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x31971),x31971)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3761,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x37611)),x37611))),
% 19.04/19.10 inference(rename_variables,[],[970])).
% 19.04/19.10 cnf(3764,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f199(a185),f12(a185,a185,a204,x37641)),x37641))),
% 19.04/19.10 inference(rename_variables,[],[970])).
% 19.04/19.10 cnf(3767,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x37671),x37671))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(3770,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x37701),x37701))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(3783,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x37831),x37831))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(3786,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x37861),f12(a185,a185,a204,x37861)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(3811,plain,
% 19.04/19.10 (~E(f12(a185,a185,a204,x38111),x38111)),
% 19.04/19.10 inference(rename_variables,[],[948])).
% 19.04/19.10 cnf(3825,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x38251),x38251))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(3828,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x38281),x38281))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(3831,plain,
% 19.04/19.10 (P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x38311),f12(a185,a185,a204,x38311)))),
% 19.04/19.10 inference(rename_variables,[],[847])).
% 19.04/19.10 cnf(3834,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x38341),x38341))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(3837,plain,
% 19.04/19.10 (~P21(f12(a185,a2,f12(a185,f166(a185,a2),f200(a185),x38371),x38371))),
% 19.04/19.10 inference(rename_variables,[],[963])).
% 19.04/19.10 cnf(4079,plain,
% 19.04/19.10 ($false),
% 19.04/19.10 inference(scs_inference,[],[976,627,628,636,637,639,646,647,651,653,654,656,657,658,659,661,662,663,664,665,666,667,668,669,670,671,673,674,678,679,681,683,684,687,688,689,690,691,692,694,699,701,703,705,711,712,714,720,724,943,626,725,944,727,956,734,760,959,961,829,828,834,972,911,900,930,924,948,2588,2590,2655,2676,3151,3166,3171,3174,3177,3186,3191,3194,3197,3811,731,2583,2585,2613,960,797,2528,2804,2840,2870,2889,2892,2896,2990,2995,798,2308,2328,775,2791,777,776,2807,824,2314,2317,2325,2371,2380,2399,2598,2688,2783,2823,2938,2943,2951,2956,3039,3042,3045,3048,3058,3061,3089,3092,963,2302,2396,2495,2593,2644,2648,2658,2700,2703,2706,2709,2922,2926,3028,3767,3770,3783,3825,3828,3834,3837,823,2489,2601,2612,2662,2691,2904,2918,2927,2933,3022,3025,3033,3055,780,787,786,847,2311,2320,2343,2346,2424,2439,2464,2492,2645,2651,2659,2749,2757,2762,2819,2923,2928,2970,2973,2977,3029,3036,3070,3786,3831,966,2720,2820,2937,2942,2950,2955,3004,3011,3016,3108,3112,768,970,2408,2411,2931,3761,3764,827,2634,2692,2695,2723,2752,2903,805,741,789,2641,848,2623,2654,2675,971,2631,3007,850,864,968,2888,2946,2959,2987,3019,3084,3099,3102,837,2566,882,2385,2388,883,2620,2628,2917,884,908,2962,3003,3010,3107,974,2299,2349,2414,2417,975,915,2609,913,2391,2974,914,969,3098,840,2717,2786,923,811,888,2518,2521,2679,892,2550,928,2531,2738,2794,2797,2,1207,1152,1143,1507,1496,1461,1460,1396,1371,1349,1308,1293,1257,1227,1226,1225,1224,1223,1222,1205,1193,1192,1031,1030,1737,1488,1402,1319,1241,1234,1230,1195,1164,1950,1949,1948,1947,1944,1808,1807,1731,1703,1700,1676,1649,1647,1645,1643,1635,1634,1631,1621,1619,1617,1615,1614,1573,1541,1540,1518,1469,1467,1465,1373,1372,1362,1292,1264,1233,1641,1570,1440,1439,1438,1398,1397,1348,1342,1295,1294,1206,2035,2034,1976,1846,1806,1716,1714,1586,1555,1357,1093,1307,1212,1078,1077,1313,1163,1852,1343,1565,1530,1400,1281,1275,1674,1394,1869,2051,2045,1764,1695,1389,2041,2115,1850,1757,1246,2137,1837,1766,1962,1818,613,594,567,3,1334,1500,2006,1972,1707,1584,1119,1390,1668,1989,1583,1574,1522,1456,1455,1367,1366,1268,1196,1155,1534,1491,1244,1138,1407,1406,1724,1723,1638,1637,1399,1095,1094,2130,2128,2073,2038,1842,1567,1566,1557,1556,2174,1587,1412,2257,2254,1864,1480,1477,1476,1475,1471,1432,1379,1377,1289,1287,1243,1232,1154,1493,1490,1392,1388,1129,1214,1303,1300,1173,1141,1256,1255,1660,1741,1610,1151,1720,1719,1684,1679,1320,1133,1132,1961,1960,1821,1820,1824,1823,1797,2032,2053,2052,1662,1413,1251,1249,1248,2122,1571,1569,1546,2072,2070,1939,1221,2031,1878,1747,1562,1860,1886,1785,1817,1975,2199,2184,2170,2208,1800,2126,2125,1726,1725,1640,1639,1536,1443,1415,1414,1930,1929,1263,1866,1865,1266,1595,1594,1593,1592,1591,1590,1589,1588,1535,1442,1453,1452,1450,1449,1517,1425,1423,1417,1354,1332,1931,1780,1779,1778,1777,1776,1909,1908,1907,1905,1902,1901,1899,1898,1897,1896,1602,1600,2009,2008,2007,1345,1912,1969,2222,1754,1753,1752,1751,2189,1513,2237,2235,1409,1408,1180,1179,1106,1105,1104,1103,1035,1032,1009,1006,983,982,981,980,979,1526,1525,1355,1316,1315,1197,1194,1117,1089,1088,1087,1086,1083,1039,1037,1036,1005,988,987,986,1142,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,1954,1953,1736,1735,1656,1630,1629,1611,1563,1528,1484,1430,1370,1369,1242,1184,1183,1158,1111,1034,1013,978,1761,1730,1114,1112,2200,2172,2062,2061,1959,1883,1882,1318,1000,993,992,2177,2139,2134,2074,2060,2059,2058,2057,1966,1951,1925,1924,1923,1921,1919,1918,1917,1916,1915,1914,1877,1810,1733,1732,1713,1712,1711,1709,1701,1653,1652,1651,1650,1628,1627,1625,1624,1553,1487,1485,1363,1265,1203,1118,1056,1126,1003,1002,1001,998,997,996,2214,1977,1935,1211,1149,1148,1127,1347,1346,1045,1548,1538,1436,1217,1074,1049,1047,1011,1010,1004,1058,1055,1054,1073,1072,1070,1069,1067,1066,1064,1063,1061,2127,1887,1486,1447,1446,1416,1353,1218,1204,1159,1157,1156,1108,1022,1021,1017,1016,1014,1560,1524,1504,1503,1382,1381,1380,1341,1219,1198,1167,1166,1843]),
% 19.04/19.10 ['proof']).
% 19.04/19.10 % SZS output end Proof
% 19.04/19.10 % Total time :17.110000s
%------------------------------------------------------------------------------